[ { "q_id": "9043_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9983178377151489, 0.00021319609368219972 ], [ 0.998512327671051, 0.6514521837234497, 0.9997708201408386, 0.9999772310256958 ], [ 0.9953579306602478, 0.9997953772544861, 0.9999759197235107 ], [ 0.9981348514556885, 0.5776763558387756, 0.9998096823692322, 0.9999791383743286 ], [ 0.9921157956123352, 0.6373042464256287, 0.0002857458312064409 ], [ 0.9970383644104004, 0.9997456669807434, 0.9999678134918213 ], [ 0.9968560934066772, 0.9996627569198608, 0.9999642372131348 ], [ 0.9992116689682007, 0.5127519369125366, 0.9997608065605164, 0.9999773502349854 ], [ 0.9984961748123169, 0.9467726945877075, 0.3076813519001007, 0.00031250977190211415 ], [ 0.9985705614089966, 0.00018415486556477845 ], [ 0.9951991438865662, 0.9997072815895081, 0.9999741315841675 ], [ 0.9946863651275635, 0.9997716546058655, 0.9999653100967407 ], [ 0.9953579306602478, 0.9997637867927551, 0.999967098236084 ], [ 0.9987483024597168, 0.9998190999031067, 0.9999760389328003 ], [ 0.9971352815628052, 0.5603318214416504, 0.34468358755111694, 0.08872200548648834, 0.9986504912376404, 0.9999773502349854 ], [ 0.9988549947738647, 0.5647345781326294, 0.9997367262840271, 0.9999634027481079 ] ] }, { "q_id": "8801_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9894322156906128, 0.3627527058124542, 0.9981445074081421, 0.9999635219573975 ], [ 0.9995965361595154, 0.9999604225158691 ], [ 0.9800699949264526, 0.2897734045982361, 0.9985822439193726, 0.9999514818191528 ], [ 0.9931938052177429, 0.3422449231147766, 0.9802362322807312, 0.9991494417190552, 0.9999706745147705 ], [ 0.9938076138496399, 0.346668541431427, 0.14143826067447662, 0.9985325336456299, 0.999970555305481 ], [ 0.9709936380386353, 0.06416259706020355, 0.9983861446380615, 0.999969482421875 ], [ 0.968759298324585, 0.007572696078568697, 0.9986685514450073, 0.9999536275863647 ], [ 0.9450591802597046, 0.25882822275161743, 0.09585459530353546, 0.8008624315261841, 0.9587854146957397, 0.9991495609283447, 0.9999650716781616 ], [ 0.987176239490509, 0.3580561876296997, 0.9782634377479553, 0.9985740184783936, 0.9999662637710571 ], [ 0.9414053559303284, 0.17894931137561798, 0.9994544386863708, 0.9999657869338989 ], [ 0.9915295839309692, 0.27718764543533325, 0.9988940358161926, 0.9999650716781616 ], [ 0.9758169054985046, 0.3070397675037384, 0.9994791150093079, 0.9999650716781616 ], [ 0.9728948473930359, 0.9991487264633179, 0.999956488609314 ], [ 0.9481106400489807, 0.22816792130470276, 0.9988781809806824, 0.9999650716781616 ], [ 0.8530704975128174, 0.1676451414823532, 0.18141964077949524, 0.9981061220169067, 0.9999688863754272 ], [ 0.9795573949813843, 0.23797088861465454, 0.9992315769195557, 0.9999539852142334 ] ] }, { "q_id": "8636_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.41921135783195496, 0.23898111283779144, 0.05382236838340759, 0.04024514555931091, 0.016060756519436836, 0.021824005991220474, 0.004725412465631962 ], [ 0.1453978270292282, 0.05130309611558914, 0.053487855941057205, 0.18361958861351013, 0.005449352320283651 ], [ 0.17956076562404633, 0.07764193415641785, 0.003755217418074608 ], [ 0.12074100226163864, 0.1719762682914734, 0.14324340224266052, 0.1823822259902954, 0.5197864174842834, 0.41263991594314575, 0.038151949644088745 ], [ 0.20904457569122314, 0.08009511977434158, 0.005343367345631123 ], [ 0.03658556938171387, 0.1969708949327469, 0.07899922877550125, 0.07402976602315903, 0.17667070031166077, 0.03704938292503357, 0.1208602711558342, 0.2988363206386566, 0.03994709625840187, 0.019074570387601852 ], [ 0.19439949095249176, 0.055357664823532104, 0.03908221423625946, 0.01234249398112297 ], [ 0.03490219637751579, 0.06266184896230698, 0.09153849631547928, 0.08646773546934128, 0.028795143589377403, 0.0027440523263067007 ], [ 0.06777114421129227, 0.1330847293138504, 0.23765625059604645, 0.058644767850637436, 0.9196065664291382, 0.9735316634178162 ], [ 0.2526998817920685, 0.09033913165330887, 0.10958650708198547, 0.11877871304750443, 0.25160980224609375, 0.05141144618391991, 0.04807022213935852, 0.2182585746049881, 0.04440368339419365, 0.022812657058238983, 0.006046373397111893 ], [ 0.25459691882133484, 0.053328514099121094, 0.3710850775241852, 0.09136025607585907, 0.05238617956638336, 0.034697748720645905, 0.03479776531457901, 0.032971348613500595, 0.03409435972571373, 0.038951072841882706, 0.04220631346106529, 0.03775365278124809, 0.035301573574543, 0.06001729518175125, 0.06489937007427216, 0.03481082618236542, 0.02622961439192295 ], [ 0.18583348393440247, 0.10986226052045822, 0.23048259317874908 ], [ 0.11326614767313004, 0.19370192289352417, 0.03096933662891388, 0.008765574544668198 ], [ 0.04767340049147606, 0.15299580991268158, 0.19571812450885773, 0.0020866075064986944 ], [ 0.2645281255245209, 0.056877847760915756, 0.0591222308576107, 0.0056103188544511795 ], [ 0.2070968598127365, 0.03924436494708061, 0.01336139626801014 ] ] }, { "q_id": "7939_mmlu_math", "cot_ids": [ 0, 1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.12615108489990234, 0.03215031698346138, 0.059331994503736496, 0.0584266372025013, 0.07052670419216156, 0.04113859683275223, 0.03004567325115204, 0.037399157881736755, 0.038475945591926575, 0.03312643989920616, 0.03979546204209328, 0.008790094405412674 ], [ 0.33415305614471436, 0.014257868751883507, 0.02149597741663456, 0.000655550102237612, 0.014294075779616833, 0.034689538180828094, 0.012248680926859379 ], [ 0.14080817997455597, 0.05317549780011177, 0.08081052452325821, 0.11403689533472061, 0.07186774164438248, 0.09070787578821182, 0.04319796711206436, 0.08007609099149704, 0.05495915561914444, 0.09272082149982452, 0.015726441517472267 ], [ 0.41168737411499023, 0.07428371906280518, 0.06506124138832092, 0.05032539367675781, 0.1116127222776413, 0.09038244187831879 ], [ 0.058491334319114685, 0.05859261751174927, 0.10387293249368668, 0.04896293953061104 ], [ 0.07869180291891098, 0.0537918321788311, 0.05141165480017662, 0.05121409147977829, 0.04452284798026085 ], [ 0.18564704060554504, 0.043190084397792816, 0.054547879844903946, 0.039311859756708145, 0.02795894630253315, 0.01639232039451599 ], [ 0.26692691445350647, 0.035879988223314285, 0.04873182997107506, 0.04847708344459534, 0.07333482801914215, 0.031067494302988052 ], [ 0.038511741906404495, 0.05786794424057007, 0.05871417000889778, 0.08704323321580887, 0.0969461128115654, 0.07045859098434448, 0.11273929476737976, 0.11695387959480286, 0.14459428191184998, 0.12569700181484222, 0.12749618291854858, 0.08191400021314621, 0.12251444160938263, 0.2020256668329239, 0.06569384038448334, 0.055768728256225586, 0.06820973008871078, 0.11272966861724854, 0.1073862761259079, 0.11565671861171722, 0.10854242742061615, 0.11097362637519836, 0.11336690187454224, 0.17268303036689758, 0.20501075685024261, 0.11924201995134354, 0.15174752473831177, 0.1402980089187622, 0.11354153603315353, 0.12051864713430405, 0.1075509786605835, 0.15541723370552063, 0.19120198488235474, 0.13519011437892914, 0.1278103142976761, 0.15548370778560638, 0.11456127464771271, 0.16317816078662872, 0.1455795168876648, 0.18177171051502228, 0.12463758885860443, 0.14434616267681122, 0.1548391431570053, 0.13717098534107208, 0.19162917137145996, 0.14800836145877838, 0.19248449802398682, 0.180894672870636, 0.13803023099899292, 0.16939063370227814, 0.13451290130615234, 0.1285976767539978, 0.18199707567691803, 0.1609327495098114, 0.11933033913373947, 0.1353788673877716, 0.1558435708284378, 0.02912195399403572 ], [ 0.1688309758901596, 0.03447158634662628, 0.040774133056402206, 0.04857238754630089, 0.042213812470436096, 0.03444906324148178, 0.007857274264097214, 0.05639214068651199, 0.0885222777724266, 0.04184892028570175, 0.06632927060127258, 0.20940683782100677 ], [ 0.030924586579203606, 0.0591055229306221, 0.060671377927064896, 0.060339998453855515, 0.051417652517557144, 0.07320243865251541, 0.02312004566192627 ], [ 0.20882657170295715, 0.040397513657808304, 0.02998333051800728, 0.047016799449920654, 0.04751403629779816, 0.04361078143119812, 0.009325273334980011 ], [ 0.1799059361219406, 0.06763492524623871, 0.08850336074829102, 0.07395211607217789, 0.1194823756814003, 0.09891679137945175, 0.09678567200899124, 0.061400290578603745, 0.09474952518939972, 0.04908536747097969, 0.056854669004678726, 0.018169965595006943 ] ] }, { "q_id": "8964_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.02123311720788479, 0.02104051783680916, 0.030049024149775505, 0.05552869290113449, 0.027980197221040726, 0.0011748491087928414, 0.0006765472353436053 ], [ 0.35294681787490845, 0.006957480683922768, 0.07102356851100922, 0.04182872921228409, 0.05765092000365257, 0.00023478857474401593, 0.001584378071129322, 0.00039035818190313876 ], [ 0.08979924023151398, 0.038260284811258316, 0.07817669212818146, 0.10800791531801224, 0.13103650510311127, 0.19337479770183563, 0.12101849168539047, 0.15304462611675262, 0.36660224199295044, 0.0680689662694931, 0.09036613255739212, 0.0014499935787171125, 0.00037375002284534276 ], [ 0.01685244031250477, 0.04996255412697792, 0.008502711541950703, 0.0009349158499389887 ], [ 0.2661244869232178, 0.1535574048757553, 0.0017921498510986567, 0.0006597969913855195 ], [ 0.11720959842205048, 0.02907600998878479, 0.026999179273843765, 0.04792354628443718, 0.08185136318206787, 0.05347668007016182, 0.04542570188641548, 0.005696197971701622, 0.9502301216125488, 0.018332967534661293, 0.9728665351867676, 0.9995112419128418 ], [ 0.2502136528491974, 0.02331480383872986, 0.02690417878329754, 0.04834454134106636, 0.04572845622897148, 0.0704084187746048, 0.051696594804525375, 0.0017128076869994402, 0.0004420806362759322 ], [ 0.45047885179519653, 0.002166731981560588, 0.00045065826270729303 ], [ 0.12674009799957275, 0.03471944481134415, 0.036133747547864914, 0.08687517046928406, 0.20845919847488403, 0.24879539012908936, 0.27266666293144226, 0.1704694926738739, 0.1579894721508026, 0.19212915003299713, 0.1583820879459381, 0.0005574941751547158, 0.04974548891186714, 0.09079955518245697, 0.16847164928913116, 0.14878691732883453, 0.1816733181476593, 0.015676705166697502, 0.0016666481969878078, 0.00042417942313477397 ], [ 0.10083438456058502, 0.08248179405927658, 0.04801672324538231, 0.061347827315330505, 0.053431686013936996, 0.034432679414749146, 0.1000654548406601, 0.10656554251909256, 0.011096172034740448, 0.027359217405319214, 0.009686971083283424, 0.04258858412504196, 0.007937347516417503, 0.12134664505720139, 0.035413336008787155, 0.001501508872024715, 0.0004333011747803539 ], [ 0.06150003522634506, 0.02750428020954132, 0.07328037172555923, 0.18872447311878204, 0.08535265922546387, 0.0014426851412281394, 0.0003615654131863266 ], [ 0.10100598633289337, 0.058076925575733185, 0.16057680547237396, 0.050643544644117355, 0.07965992391109467, 0.07872547954320908, 0.0012677188497036695, 0.0006590644479729235 ], [ 0.8222053647041321, 0.12034928053617477, 0.20378974080085754, 0.042796049267053604, 0.00224662316031754, 0.00036113974056206644 ], [ 0.011210930533707142, 0.04185476899147034, 0.06367947906255722, 0.03320605680346489, 0.04115623980760574, 0.006088707596063614, 0.0015888294437900186, 0.0006623457302339375 ], [ 0.08243954926729202, 0.10649360716342926, 0.20847368240356445, 0.05126378685235977, 0.20128077268600464, 0.2661149799823761, 0.10631492733955383, 0.0003127583477180451 ], [ 0.0870637372136116, 0.01531196292489767, 0.02763468585908413, 0.038963641971349716, 0.026228884235024452, 0.08597274869680405, 0.009725435636937618, 0.040821850299835205, 0.002315857680514455, 0.0006195805035531521 ] ] }, { "q_id": "8702_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6601774096488953, 0.08376316726207733, 0.2547193765640259, 0.9808846712112427, 0.06530632078647614 ], [ 0.5465303659439087, 0.28600797057151794, 0.3721851408481598, 0.2662585377693176, 0.9924938678741455, 0.8384370803833008 ], [ 0.4839487373828888, 0.008719220757484436, 0.12639829516410828, 0.9283937811851501, 0.06695529073476791 ], [ 0.863212525844574, 0.273837149143219, 0.12233888357877731, 0.34762081503868103, 0.9811112284660339, 0.17744004726409912 ], [ 0.8352150321006775, 0.06257175654172897, 0.4412643015384674, 0.4454541504383087, 0.9855324625968933, 0.07460501044988632 ], [ 0.8449329733848572, 0.10390062630176544, 0.31351110339164734, 0.9284057021141052, 0.03356508910655975 ], [ 0.7338700890541077, 0.3880184292793274, 0.25644949078559875, 0.9824880957603455, 0.05675628408789635 ], [ 0.6822229623794556, 0.25682690739631653, 0.12903498113155365, 0.9772664308547974, 0.05227815359830856 ], [ 0.47501811385154724, 0.431851863861084, 0.053287893533706665, 0.06734514981508255, 0.9712738990783691, 0.1305861920118332 ], [ 0.9176892042160034, 0.0482245497405529, 0.07508495450019836, 0.9882878661155701, 0.32210591435432434 ], [ 0.8242152333259583, 0.05375577509403229, 0.013604355044662952, 0.06776294112205505, 0.9823127388954163, 0.9923273921012878, 0.622658908367157 ], [ 0.15388600528240204, 0.9774960279464722, 0.053394295275211334 ], [ 0.749380350112915, 0.3902668356895447, 0.08155232667922974, 0.8384087085723877, 0.04965171590447426 ], [ 0.7911607027053833, 0.10526944696903229, 0.196571484208107, 0.23137584328651428, 0.8844621777534485, 0.033914051949977875 ], [ 0.43855759501457214, 0.27264076471328735, 0.025089412927627563, 0.038209278136491776, 0.9645296335220337, 0.11216700822114944 ], [ 0.8852337002754211, 0.27678409218788147, 0.27324020862579346, 0.22460953891277313, 0.9663764834403992, 0.07902969419956207 ] ] }, { "q_id": "8925_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.37788015604019165, 0.3383873999118805, 0.9996955394744873, 0.9995736479759216 ], [ 0.36995449662208557, 0.034608565270900726, 0.9766229391098022, 0.9973630309104919 ], [ 0.11959915608167648, 0.15521280467510223, 0.48399004340171814, 0.28585144877433777, 0.6457984447479248, 0.20133289694786072, 0.4848622977733612, 0.8862612247467041, 0.997856080532074 ], [ 0.21347860991954803, 0.35530486702919006, 0.15402866899967194, 0.47623270750045776, 0.1331476867198944, 0.005501882638782263, 0.9995903372764587, 0.9995762705802917 ], [ 0.26686692237854004, 0.5317038297653198, 0.5207376480102539, 0.09427070617675781, 0.9940192699432373, 0.9997724890708923, 0.9996939897537231 ], [ 0.3971268832683563, 0.0032659373246133327, 0.0642019510269165, 0.4679490327835083, 0.24419064819812775, 0.626944899559021, 0.14731788635253906, 0.4485107362270355, 0.058324363082647324, 0.9839809536933899, 0.9996927976608276, 0.9997816681861877 ], [ 0.43219104409217834, 0.31065478920936584, 0.20723775029182434, 0.01771484687924385, 0.9975517392158508, 0.9986187219619751 ], [ 0.09044357389211655, 0.2675427198410034, 0.6607101559638977, 0.3090544641017914, 0.8458953499794006, 0.9956600069999695 ], [ 0.4907446801662445, 0.38318827748298645, 0.000667980988509953 ], [ 0.13981993496418, 0.42862969636917114, 0.3975156843662262, 0.9965026378631592, 0.9983512163162231 ], [ 0.0918269008398056, 0.418046236038208, 0.5112334489822388, 0.1771220713853836, 0.9997062087059021, 0.9987443685531616 ], [ 0.22245590388774872, 0.4347747564315796, 0.2939911484718323, 0.16381557285785675, 0.9987555742263794, 0.9986621141433716 ], [ 0.1614280641078949, 0.4249030351638794, 0.23183180391788483, 0.5968927145004272, 0.9985652565956116, 0.9990309476852417 ], [ 0.42184484004974365, 0.9997368454933167, 0.9994962215423584 ], [ 0.2863001823425293, 0.16568537056446075, 0.28214412927627563, 0.4708646833896637, 0.9977571368217468, 0.9990352392196655 ], [ 0.3293602168560028, 0.4412991404533386, 0.14944571256637573, 0.01729581505060196, 0.9899142980575562 ] ] }, { "q_id": "8152_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5150952935218811, 0.0040326425805687904, 0.04246789216995239, 0.03293813019990921, 0.01709679700434208, 0.0026338077150285244 ], [ 0.36740216612815857, 0.19712722301483154, 0.3729541599750519, 0.021600717678666115, 0.04636196792125702, 0.03932003304362297, 0.0541507713496685, 0.09103787690401077, 0.6749057769775391 ], [ 0.07651081681251526, 0.037233103066682816, 0.046925053000450134, 0.02732924558222294, 0.002431676257401705 ], [ 0.12049161642789841, 0.256341814994812, 0.34500131011009216, 0.10568448156118393, 0.06282597780227661, 0.028744250535964966, 0.04314557462930679, 0.02850106731057167, 0.006633344106376171 ], [ 0.06464327871799469, 0.24879218637943268, 0.337982177734375, 0.046340323984622955, 0.11364734917879105, 0.029710732400417328, 0.03491829335689545, 0.08590272814035416, 0.0519767664372921, 0.051675256341695786, 0.047095246613025665, 0.07256915420293808, 0.06255070120096207, 0.01821393519639969, 0.07668326795101166, 0.043670184910297394, 0.03815979138016701, 0.046580467373132706, 0.12082911282777786, 0.4431241452693939, 0.08698622137308121 ], [ 0.4043338894844055, 0.0060539571568369865 ], [ 0.32886558771133423, 0.11584746092557907, 0.05859443172812462, 0.0680212527513504, 0.07005694508552551, 0.0043282536789774895 ], [ 0.12921467423439026, 0.06959927082061768, 0.2337833046913147, 0.23454557359218597, 0.1261311173439026, 0.3343976140022278, 0.23066064715385437, 0.12890492379665375, 0.16939043998718262, 0.0347897931933403, 0.040038082748651505, 0.0320645347237587, 0.035226430743932724, 0.03355022892355919, 0.05874757096171379, 0.050686683505773544, 0.058280956000089645, 0.05127343907952309, 0.05618704482913017, 0.003075103973969817 ], [ 0.2479821741580963, 0.037314191460609436, 0.6200938820838928, 0.044207777827978134, 0.03405884653329849, 0.05565241351723671, 0.036064907908439636, 0.04478556290268898, 0.004229775629937649 ], [ 0.10299614816904068, 0.05178181827068329, 0.09957016259431839, 0.009544440545141697, 0.0037652812898159027 ], [ 0.11372475326061249, 0.0727679654955864, 0.10030434280633926, 0.19504107534885406, 0.03486360237002373, 0.07794273644685745, 0.025097450241446495, 0.011564182117581367, 0.003377167508006096 ], [ 0.26201874017715454, 0.005497506354004145 ], [ 0.4484517574310303, 0.05207773670554161, 0.08597476035356522, 0.055357590317726135, 0.040544670075178146, 0.08844102174043655, 0.054763313382864, 0.10783571749925613, 0.3192739188671112 ], [ 0.16245535016059875, 0.3920212984085083, 0.04304192587733269, 0.03812704235315323, 0.0042649609968066216 ], [ 0.07279843837022781, 0.14164164662361145, 0.04003912955522537, 0.052687931805849075, 0.05320342257618904, 0.0635080561041832, 0.047072634100914, 0.041478537023067474, 0.051292482763528824 ], [ 0.43129563331604004, 0.07238537818193436, 0.04089353233575821, 0.03431859239935875, 0.07885827869176865, 0.037472616881132126, 0.04816920682787895, 0.07324372977018356, 0.046747371554374695, 0.04813327640295029, 0.05144917592406273, 0.07782290875911713, 0.04412137717008591 ] ] }, { "q_id": "8509_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.0861460492014885, 0.057913634926080704, 0.06400847434997559, 0.042857445776462555, 0.05672331154346466, 0.018308131024241447, 0.07355863600969315, 0.036643825471401215, 0.03604545444250107, 0.5757483839988708 ], [ 0.05491461977362633, 0.05445973575115204, 0.060043446719646454, 0.0669940859079361, 0.0645824745297432, 0.061519116163253784, 0.08096253871917725, 0.026949714869260788 ], [ 0.07546044886112213, 0.006978921126574278, 0.13850918412208557, 0.13184095919132233, 0.12073933333158493, 0.0015647063264623284, 0.1603277027606964, 0.018967529758810997 ], [ 0.0620257630944252, 0.059859395027160645, 0.05419115349650383, 0.07218454033136368, 0.08023013174533844, 0.05588117241859436, 0.03443889319896698, 0.045595571398735046, 0.09985915571451187, 0.07063036412000656, 0.019725581631064415, 0.07593660801649094, 0.11399133503437042 ], [ 0.18755854666233063, 0.048275742679834366, 0.09263213723897934, 0.06314541399478912, 0.1436842828989029, 0.06508725881576538, 0.10349687188863754, 0.08823303133249283, 0.12120863050222397, 0.10807638615369797, 0.11432883143424988, 0.075645312666893, 0.09640215337276459, 0.09263942390680313, 0.08758696913719177, 0.07207880169153214, 0.08261790871620178, 0.08332419395446777, 0.06551507115364075, 0.08984480798244476, 0.13057774305343628, 0.06684578210115433, 0.020492717623710632, 0.07116527110338211, 0.007257252000272274, 0.0633687749505043, 0.04759020730853081, 0.020904799923300743, 0.0382637120783329, 0.036310214549303055, 0.03593406826257706, 0.030641602352261543, 0.03708968684077263, 0.04835658147931099, 0.04848548769950867, 0.052758753299713135, 0.06504682451486588, 0.0606699213385582, 0.04492294788360596, 0.09599987417459488, 0.04252578690648079, 0.05538339912891388, 0.04744713753461838, 0.054135993123054504, 0.07316145300865173, 0.03157295659184456, 0.04470251500606537, 0.11029214411973953, 0.00850031990557909, 0.06848642975091934, 0.0832786038517952, 0.1829340010881424, 0.08954187482595444, 0.027514230459928513 ], [ 0.2898644804954529, 0.14474834501743317, 0.0580105185508728, 0.014884757809340954 ], [ 0.3240366280078888, 0.016285710036754608, 0.0031649635639041662, 0.014737752266228199, 0.020807212218642235, 0.027228254824876785, 0.03923845291137695, 0.03849685564637184, 0.03895433619618416, 0.048897236585617065, 0.04996977373957634, 0.06245006248354912, 0.054776884615421295, 0.06447593867778778, 0.05920058488845825, 0.06016203761100769, 0.05864045023918152, 0.04569171741604805, 0.0521707683801651, 0.06388813257217407, 0.05470908433198929, 0.07719302177429199, 0.07784727215766907, 0.06608187407255173, 0.22540688514709473, 0.22471360862255096, 0.13100537657737732, 0.07643844932317734, 0.13847579061985016, 0.08883652836084366, 0.1802966445684433, 0.14695732295513153, 0.08316010981798172, 0.1420651227235794, 0.021073946729302406 ], [ 0.0501038134098053, 0.1543692797422409, 0.15528933703899384, 0.0685470849275589, 0.08174940943717957 ], [ 0.07203458249568939, 0.03324476256966591, 0.08702917397022247, 0.09270381182432175, 0.0740365982055664, 0.037023186683654785, 0.45255401730537415 ], [ 0.0481102354824543, 0.06936986744403839, 0.06878463178873062, 0.11617577821016312, 0.1168639287352562, 0.026507172733545303, 0.027317307889461517, 0.03539442643523216, 0.01840783655643463 ], [ 0.018101966008543968, 0.059317655861377716, 0.016123943030834198 ], [ 0.07431447505950928, 0.06976053863763809, 0.08362402766942978, 0.09017147868871689, 0.09031804651021957, 0.0818813368678093, 0.11848750710487366, 0.19077812135219574, 0.09157299995422363, 0.08453743159770966, 0.12026520073413849, 0.17153088748455048, 0.14819946885108948, 0.1620907336473465, 0.1457611620426178, 0.1618683934211731, 0.15869474411010742, 0.12385983765125275, 0.2211434692144394, 0.12831677496433258, 0.09466183930635452, 0.1542937308549881, 0.21762089431285858, 0.16449883580207825, 0.14364905655384064, 0.07545265555381775, 0.08092635869979858, 0.029054133221507072 ], [ 0.04843858629465103, 0.05714375153183937, 0.09748420864343643, 0.07390092313289642, 0.12310615926980972, 0.0724199041724205, 0.061256565153598785, 0.06648518145084381, 0.08865387737751007, 0.09148046374320984, 0.09562160074710846, 0.06585203111171722, 0.0758422389626503, 0.08369310945272446, 0.08258192986249924, 0.07737933099269867, 0.06571690738201141, 0.08441348373889923, 0.07551757991313934, 0.08102962374687195, 0.12012921273708344, 0.10478148609399796, 0.05384961888194084, 0.04785023257136345, 0.06947605311870575, 0.023038433864712715 ], [ 0.03201350197196007, 0.08410035073757172, 0.04056185483932495, 0.04148765653371811, 0.04577498137950897, 0.16123181581497192, 0.09568009525537491, 0.23439815640449524, 0.25021588802337646, 0.03773636743426323 ], [ 0.09193035215139389, 0.061416786164045334, 0.010893323458731174, 0.07740668207406998, 0.043907519429922104, 0.06972576677799225, 0.09990593045949936, 0.08021324872970581, 0.017551342025399208 ], [ 0.05041539669036865, 0.1021609902381897, 0.13593831658363342, 0.44191890954971313 ] ] }, { "q_id": "8272_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2403877079486847, 0.8795905709266663, 0.41151556372642517, 0.35794100165367126, 0.5369052886962891, 0.3238580524921417, 0.19184760749340057, 0.13191160559654236, 0.1630188524723053, 0.3261210322380066, 0.23402023315429688, 0.21638451516628265, 0.8872707486152649, 0.9596834182739258 ], [ 0.8507293462753296, 0.13460113108158112, 0.12836168706417084, 0.38170886039733887, 0.2079666405916214, 0.1295204758644104, 0.19865627586841583, 0.3073303997516632, 0.9966443777084351, 0.9985153079032898 ], [ 0.05882273614406586, 0.007646217942237854, 0.7880109548568726, 0.0693303570151329, 0.00793415680527687, 0.0012159900506958365, 0.0016745515167713165, 0.010180736891925335, 0.071208655834198, 0.0546870157122612, 0.05734684318304062, 0.02434871532022953, 0.0003077026049140841, 5.5689575674477965e-05, 0.03953474387526512, 0.034737229347229004, 0.09301957488059998, 0.0496431440114975, 0.0001646878372412175, 0.32096001505851746, 0.18797829747200012, 0.04623519629240036, 0.021388741210103035, 0.07135562598705292, 0.11802416294813156, 0.8682669997215271, 0.9664126634597778, 0.9948881268501282 ], [ 0.226034477353096, 0.8829990029335022, 0.03920677304267883, 0.19329576194286346, 0.4661330580711365, 0.05278085172176361, 0.07750573009252548, 0.08356674015522003, 0.06418922543525696, 0.02049519494175911, 0.10344047844409943, 0.016189279034733772, 0.03696773946285248, 0.032178908586502075 ], [ 0.23492887616157532, 0.5108509063720703, 0.27758368849754333, 0.1399838775396347, 0.6457328200340271, 0.07120168209075928, 0.08100394904613495, 0.34230440855026245, 0.9886519312858582 ], [ 0.8004112243652344, 0.459076851606369, 0.4451676905155182, 0.12194978445768356, 0.026986444368958473, 0.0939800888299942, 0.07684797793626785 ], [ 0.6891712546348572, 0.24112370610237122, 0.2052401900291443, 0.24968023598194122, 0.9516698122024536 ], [ 0.9102981090545654, 0.30042901635169983, 0.35747233033180237, 0.8332136273384094, 0.3724631667137146, 0.041737549006938934, 0.026086878031492233, 0.012279062531888485, 0.0019454974681138992 ], [ 0.29682809114456177, 0.267106831073761, 0.17575030028820038, 0.04145156592130661, 0.035540979355573654, 0.013231921009719372, 0.04942220076918602 ], [ 0.7019050717353821, 0.44257840514183044, 0.16801008582115173, 0.31835073232650757, 0.20220814645290375, 0.1564241498708725, 0.13094750046730042, 0.21616250276565552, 0.3928666412830353, 0.17938198149204254, 0.258938193321228, 0.5903799533843994, 0.052619192749261856, 0.9897566437721252 ], [ 0.41395747661590576, 0.004549101460725069, 2.8717027817037888e-05, 0.022618887946009636, 3.6266814277041703e-05, 0.9848575592041016 ], [ 0.5439666509628296, 0.09091176837682724, 0.09301580488681793, 0.09642420709133148, 0.08254078775644302, 0.046440329402685165, 0.052310388535261154, 0.05841079354286194, 0.10253269225358963, 0.025273114442825317, 0.010544436983764172, 0.015433916822075844, 0.0294207613915205, 0.10478443652391434, 0.07835856825113297, 0.03141643851995468, 0.1906367540359497, 0.02663697488605976 ], [ 0.03290839120745659, 0.6519995331764221, 0.051872361451387405, 0.029618361964821815, 0.05261579155921936, 0.08963046222925186, 0.0428462028503418, 0.09386950731277466, 0.10778407007455826, 0.12696398794651031, 0.10082799196243286, 0.06319139152765274, 0.06835856288671494, 0.04375874996185303, 0.07729389518499374 ], [ 0.2991357743740082, 0.3258330225944519, 0.0039518168196082115 ], [ 0.5927675366401672, 0.05303412303328514, 0.0248185433447361, 0.03523896262049675, 0.137531116604805, 0.038779616355895996, 0.6092853546142578, 0.9831499457359314 ], [ 0.8856417536735535, 0.5270897746086121, 0.22115400433540344, 0.579369306564331, 0.3645641505718231, 0.22034882009029388, 0.111964650452137, 0.244100883603096, 0.3173505663871765, 0.45859190821647644, 0.06612440943717957, 0.10024453699588776, 0.9562842845916748, 0.9907028675079346 ] ] }, { "q_id": "8731_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.020266598090529442, 0.0820009633898735, 0.05822928994894028, 0.5895875096321106 ], [ 0.20412962138652802, 0.09115798026323318, 0.0773053988814354, 0.031330451369285583, 0.12630145251750946, 0.06100251153111458, 0.02179567515850067, 0.025079922750592232, 0.0011421573581174016 ], [ 0.14993539452552795, 0.03681402653455734, 0.06531625241041183, 0.08121294528245926, 0.11334662139415741, 0.09520145505666733, 0.03626254200935364, 0.14483642578125, 0.0006662055966444314, 2.6531473849900067e-05, 0.03939389809966087, 0.12084542214870453 ], [ 0.01676028035581112, 0.013226567767560482, 0.0708422139286995, 0.023671921342611313, 0.015665730461478233, 0.07045649737119675, 0.09481389820575714, 0.09975341707468033, 0.13455386459827423, 0.04576932266354561, 0.01770368032157421, 0.011282711289823055, 0.03996853530406952, 0.07095199823379517, 0.0494728721678257, 0.03813398256897926, 0.030387552455067635, 0.07626552879810333, 0.25076207518577576, 0.12899860739707947, 0.10681700706481934, 0.06739092618227005, 0.03172490745782852, 0.047781672328710556, 0.2128230631351471, 0.18475157022476196, 0.11624639481306076, 0.1055787056684494, 0.08137477189302444, 0.12144968658685684, 0.032191161066293716, 0.020318765193223953, 0.0012127247173339128, 0.011509694159030914, 0.047916948795318604, 0.08224882930517197, 0.6883122324943542, 0.17312125861644745, 0.011849754489958286, 0.008958175778388977, 0.014427375979721546, 0.05173264816403389, 0.0021203241776674986, 0.04502051696181297, 0.04878884553909302, 0.18642650544643402, 0.13657674193382263, 0.12346497178077698, 0.3988109529018402, 0.3689876198768616, 0.13906247913837433, 0.00809474941343069 ], [ 0.07467466592788696, 0.06209348142147064, 0.18728011846542358, 0.515569269657135 ], [ 0.2562059462070465, 0.010883093811571598, 0.04626832529902458, 0.0770220011472702, 0.07044825702905655, 0.04457041993737221, 0.08228322118520737, 0.11194639652967453, 0.007071595638990402 ], [ 0.06456389278173447, 0.04350928217172623, 0.04545384645462036, 0.10506236553192139, 0.04538099840283394, 0.07576309889554977, 0.03354557231068611, 0.043088678270578384, 0.04204856604337692, 0.04776928573846817, 0.06929107010364532, 0.03425931558012962, 0.08437034487724304, 0.04894460365176201, 0.04551707208156586, 0.012715899385511875, 0.011770718730986118 ], [ 0.0633343979716301, 0.0586467944085598, 0.030046550557017326, 0.2083246111869812, 0.024513166397809982, 0.08908583968877792, 0.07122701406478882, 0.054085250943899155, 0.08375295251607895, 0.012859503738582134, 0.010361958295106888 ], [ 0.07566715776920319, 0.04738375544548035, 0.0776706337928772, 0.018988559022545815, 0.05130944773554802, 0.051859743893146515, 0.04030473157763481, 0.014112173579633236, 0.0059080044738948345 ], [ 0.036738503724336624, 0.031336959451436996, 0.12690182030200958, 0.0359891913831234, 0.011260018683969975 ], [ 0.24709346890449524, 0.024564597755670547, 0.023675158619880676, 0.06390959024429321, 0.06409136950969696, 0.03160141408443451, 0.16379794478416443, 0.06810636073350906, 0.1126386895775795, 0.1319507211446762, 0.04341563954949379, 0.07492139935493469, 0.06361231952905655, 0.0954122543334961, 0.0823308601975441, 0.12967878580093384, 0.08131980150938034, 0.16067884862422943, 0.11250855028629303, 0.08595835417509079, 0.11107518523931503, 0.09280699491500854, 0.206410214304924, 0.13934125006198883, 0.3040972948074341, 0.1814729869365692, 0.24386447668075562, 0.2036735713481903, 0.29028621315956116, 0.2655792236328125, 0.6460521817207336 ], [ 0.033168330788612366, 0.03367719426751137, 0.09362736344337463, 0.06889953464269638, 0.00736647006124258, 0.0037757633253932 ], [ 0.1496330350637436, 0.0003075380518566817, 0.03730616346001625, 0.061466384679079056, 0.7171300053596497 ], [ 0.1118684783577919, 0.09107705950737, 0.05193684622645378, 0.08509359508752823, 0.06916743516921997, 0.2890886962413788, 0.04866230860352516, 0.21216970682144165, 0.16917842626571655, 0.1151815801858902, 0.10269787907600403, 0.055751558393239975, 0.1614615023136139, 0.10241800546646118, 0.11498087644577026, 0.014997671358287334, 0.04538771137595177, 0.053045667707920074, 0.07469311356544495, 0.07799990475177765, 0.10996414721012115, 0.10452734678983688, 0.031183551996946335, 0.21488741040229797, 0.21681171655654907, 0.17204037308692932, 0.15944860875606537, 0.12287795543670654, 0.07121429592370987, 0.17829616367816925, 0.0852971002459526, 0.026667049154639244, 0.08064498752355576, 0.10831885039806366, 0.045330557972192764, 0.1800973117351532, 0.149147629737854, 0.413463830947876, 0.0759379118680954, 0.20433011651039124, 0.2531959116458893, 0.08255670964717865, 0.21271522343158722, 0.10452650487422943, 0.21899951994419098, 0.09760644286870956, 0.09125054627656937, 0.6063918471336365, 0.24890100955963135, 0.15989892184734344, 0.18091091513633728, 0.05718163400888443, 0.18197287619113922, 0.21332956850528717, 0.32564598321914673, 0.3095727860927582, 0.20370133221149445, 0.3083924949169159, 0.3491021394729614, 0.19704920053482056, 0.33192288875579834, 0.24228572845458984, 0.30910730361938477, 0.13082386553287506, 0.7456404566764832, 0.9302346706390381 ], [ 0.32381805777549744, 0.03643990308046341, 0.15905430912971497, 0.09146559983491898, 0.08565966784954071, 0.12250834703445435, 0.1368100345134735, 0.02380194701254368, 0.11158280819654465, 0.1362592726945877, 0.8415631651878357 ], [ 0.02037711814045906, 0.0065276431851089, 0.03728969022631645, 0.07408015429973602, 0.05336017161607742, 0.029910825192928314, 0.07124967128038406, 0.08763632923364639, 0.1189337894320488, 0.019781460985541344, 0.065773144364357, 0.10594570636749268, 0.2071898877620697, 0.864700198173523 ] ] }, { "q_id": "8492_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.016356544569134712, 0.13004231452941895, 0.06812969595193863, 0.001988082891330123 ], [ 0.38168781995773315, 0.8045433759689331, 0.008861159905791283, 0.0007326126797124743 ], [ 0.43085649609565735, 0.7252920866012573, 0.0007516411715187132 ], [ 0.021048665046691895, 0.02822602167725563, 0.015507177449762821, 0.011723741888999939, 0.002025018911808729 ], [ 0.03106684796512127, 0.0006749732419848442 ], [ 0.26913854479789734, 0.4762965440750122, 0.4262644648551941, 0.16259288787841797, 0.08589383214712143, 0.02101741172373295, 0.0007683340227231383 ], [ 0.8746537566184998, 0.002151050604879856 ], [ 0.5493471622467041, 0.038803547620773315, 0.0008668660302646458 ], [ 0.434915691614151, 0.8109039664268494, 0.023222479969263077, 0.0009447882766835392 ], [ 0.4017886519432068, 0.290096640586853, 0.019278034567832947, 0.0008326239767484367 ], [ 0.014573680236935616, 0.010392079129815102, 0.1789107769727707, 0.005442753434181213, 0.0009622501092962921 ], [ 0.645251989364624, 0.8507970571517944, 0.016868043690919876, 0.0009448580676689744 ], [ 0.4039858281612396, 0.8155781626701355, 0.000674402923323214 ], [ 0.3816934823989868, 0.03447620943188667, 0.025415470823645592, 0.0005731635610572994 ], [ 0.4748254716396332, 0.27619972825050354, 0.8829693794250488, 0.0594179630279541, 0.0006879298598505557 ], [ 0.47918927669525146, 0.8505361676216125, 0.04086057469248772, 0.0008451511966995895 ] ] }, { "q_id": "8567_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.12653464078903198, 0.05277951806783676, 0.34057655930519104, 0.03832615539431572, 0.10509424656629562, 0.015210098586976528 ], [ 0.5089715719223022, 0.9255586266517639, 0.9886456727981567 ], [ 0.44451767206192017, 0.8502574563026428, 0.05870845913887024, 0.054599400609731674, 0.5794320106506348, 0.9555795788764954 ], [ 0.059840764850378036, 0.1241937130689621, 0.027189886197447777, 0.006818543653935194 ], [ 0.5089713335037231, 0.045831792056560516, 0.07500934600830078, 0.015368243679404259 ], [ 0.2734290361404419, 0.8411026000976562, 0.9188088178634644, 0.9881029725074768 ], [ 0.054393380880355835, 0.11231834441423416, 0.6058602929115295, 0.5914112329483032, 0.20898868143558502, 0.012859049253165722, 0.0771242007613182, 0.0034023665357381105 ], [ 0.9526991248130798, 0.9900368452072144 ], [ 0.4193003177642822, 0.11882070451974869, 0.002751657273620367, 0.030026379972696304, 0.16513898968696594, 0.1893845945596695, 0.7188107371330261, 0.016918634995818138 ], [ 0.33266681432724, 0.20905496180057526, 0.044451840221881866, 0.11247313767671585, 0.7983311414718628, 0.9561015963554382, 0.99381422996521 ], [ 0.7058236598968506, 0.07663941383361816, 0.6956163644790649, 0.35494548082351685, 0.02203804813325405, 0.05840153247117996, 0.04524334520101547, 0.053539011627435684, 0.02089020237326622 ], [ 0.3763797879219055, 0.1838923543691635, 0.058940958231687546, 0.21501967310905457, 0.005878190044313669 ], [ 0.32953962683677673, 0.8385159969329834, 0.017154954373836517 ], [ 0.3003828227519989, 0.1716092824935913, 0.20130828022956848, 0.0028091780841350555 ], [ 0.3863567113876343, 0.05413335561752319, 0.279234915971756, 0.07424271106719971, 0.01283162273466587 ], [ 0.2245560586452484, 0.06308702379465103, 0.06384582817554474, 0.027115806937217712 ] ] }, { "q_id": "8429_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14 ], "rewards": [ [ 0.014779900200664997, 0.0007882288191467524, 0.0003902661264874041 ], [ 0.078882597386837, 0.0019723987206816673, 0.003487515030428767, 0.0006644428940489888 ], [ 0.3300997018814087, 0.02523801662027836, 0.02280036360025406, 0.9824618697166443, 0.999380350112915 ], [ 0.3084714114665985, 0.026759715750813484, 0.0005367642734199762, 0.0003553923743311316 ], [ 0.002273791702464223, 0.0004597590595949441 ], [ 0.0064831869676709175, 0.008530260063707829, 0.028487402945756912, 0.05441317707300186, 0.05309582129120827, 0.062318168580532074, 0.02926686964929104, 0.06285779923200607, 0.03198599815368652, 0.12209630012512207, 0.23673942685127258, 0.12021361291408539, 0.03195953741669655, 0.10879530012607574, 0.12492186576128006, 0.16134488582611084, 0.14939045906066895, 0.10367105901241302, 0.014493237249553204, 0.0008698430610820651 ], [ 0.9152075052261353, 0.023057106882333755, 0.04878758266568184, 0.052962109446525574, 0.16381505131721497, 0.0913475900888443, 0.0010886701056733727, 0.0005107951583340764 ], [ 0.0866716131567955, 0.026449881494045258, 0.020668454468250275, 0.014683972112834454, 0.022801339626312256, 0.004424177575856447, 0.001146431895904243, 0.0005679863388650119 ], [ 0.12709596753120422, 0.017078083008527756, 0.36707428097724915, 0.07955416291952133, 0.06317281723022461, 0.0005072919302619994 ], [ 0.8455025553703308, 0.037897709757089615, 0.01709301583468914, 0.16449123620986938, 0.038139089941978455, 0.15597309172153473, 0.020256735384464264, 0.0770239308476448, 0.024045271798968315, 0.04579095542430878, 0.025055648759007454, 0.024070462211966515, 0.0017459581140428782, 0.0005149632343091071 ], [ 0.08162804692983627, 0.05239247530698776, 0.052717212587594986, 0.1633947789669037, 0.06649471074342728, 0.04466729238629341, 0.10263612121343613, 0.15084239840507507, 0.04941288009285927, 0.07282918691635132, 0.01281534880399704, 0.013216545805335045, 0.008963808417320251, 0.016120199114084244, 0.9894964098930359, 0.999596893787384 ], [ 0.12992124259471893, 0.06361028552055359, 0.07963838428258896, 0.022993316873908043, 0.08028332144021988, 0.02222600392997265, 0.08065038919448853, 0.05433724448084831, 0.0027406811714172363, 0.12396801263093948, 0.9988693594932556, 0.999864935874939 ], [ 0.01820625551044941, 0.07804154604673386, 0.04553999379277229, 0.03771534189581871, 0.08103757351636887, 0.07988562434911728, 0.0016248519532382488, 0.0005031772889196873 ] ] }, { "q_id": "8893_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9867247343063354, 0.8730961084365845, 0.9987025260925293, 0.9999476671218872 ], [ 0.7985842227935791, 0.9987395405769348, 0.9997143149375916, 0.9998568296432495, 0.999968409538269 ], [ 0.6715825796127319, 0.25012367963790894, 0.20239000022411346, 0.9914050102233887, 0.9994712471961975, 0.9997420907020569, 0.9999692440032959 ], [ 0.825907826423645, 0.9988694787025452, 0.999144434928894, 0.9998243451118469, 0.9999611377716064 ], [ 0.9964119791984558, 0.4847411811351776, 0.9972699284553528, 0.9996156692504883, 0.9999411106109619 ], [ 0.8062336444854736, 0.9993045330047607, 0.9995813965797424, 0.9999557733535767 ], [ 0.40188950300216675, 0.9985448122024536, 0.24662867188453674, 0.9996180534362793, 0.9999651908874512 ], [ 0.7329585552215576, 0.9991014003753662, 0.9988666772842407, 0.9999604225158691 ], [ 0.7208049297332764, 0.19276757538318634, 0.9986080527305603, 0.999396562576294, 0.9999608993530273 ], [ 0.9017158150672913, 0.30084162950515747, 0.9022322297096252, 0.9993999004364014, 0.9999678134918213 ], [ 0.8947499394416809, 0.48050177097320557, 0.9971011281013489, 0.9999525547027588 ], [ 0.7559809684753418, 0.9398859739303589, 0.998577356338501, 0.9999556541442871 ], [ 0.8307169675827026, 0.27026960253715515, 0.9958938360214233, 0.9995397329330444, 0.9998233914375305, 0.9999693632125854 ], [ 0.9202033877372742, 0.22961314022541046, 0.3753736913204193, 0.9911465048789978, 0.9930271506309509, 0.9997753500938416, 0.9999663829803467 ], [ 0.860079824924469, 0.45139405131340027, 0.99769526720047, 0.9988600015640259, 0.9999654293060303 ], [ 0.6694309115409851, 0.9986540079116821, 0.9990180730819702, 0.9997168183326721, 0.999968409538269 ] ] }, { "q_id": "8211_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13 ], "rewards": [ [ 0.08198466151952744, 0.1184607595205307, 0.3760331869125366, 0.32793813943862915, 0.9495097398757935, 0.9827747941017151 ], [ 0.0385168083012104, 0.30566322803497314, 0.10163810849189758, 0.009544773027300835, 0.0411638580262661, 0.12105709314346313, 0.2347506582736969, 0.015467066317796707, 0.06512513756752014, 0.06766169518232346, 0.07836224883794785, 0.018927492201328278, 0.029787516221404076, 0.05553892254829407, 0.0442301481962204, 0.14350859820842743, 0.2059483528137207, 0.04270240664482117, 0.020075803622603416, 0.5647969245910645 ], [ 0.09812775999307632, 0.00028032934642396867, 0.2552016079425812, 0.0012038046261295676, 0.09543275088071823, 0.13507914543151855, 0.021425141021609306, 0.011959082446992397, 0.11430680751800537, 0.23499281704425812, 0.051508828997612, 0.36510753631591797, 0.11165003478527069, 0.020905718207359314, 0.15436393022537231, 0.20133720338344574, 0.04657341167330742, 0.1889311671257019, 0.058051176369190216, 0.018289688974618912, 0.013865668326616287, 0.030025960877537727, 0.03356250748038292, 0.07738213241100311, 0.08339942246675491, 0.02902613952755928, 0.039558105170726776, 0.039848532527685165, 0.049100812524557114, 0.046410102397203445, 0.05863392353057861, 0.06631727516651154, 0.06964456290006638, 0.059499211609363556, 0.06256110221147537, 0.05950174853205681, 0.05122185871005058, 0.06631385535001755, 0.060318559408187866, 0.0879676416516304, 0.15957774221897125, 0.056790146976709366, 0.09440728276968002, 0.044287312775850296, 0.18532904982566833, 0.09836534410715103, 0.06981740891933441, 0.0788974016904831, 0.06187119334936142, 0.05322153866291046, 0.0843459963798523, 0.07800230383872986, 0.08043086528778076, 0.0870826467871666, 0.05569254979491234, 0.09301800280809402, 0.04194972291588783, 0.03965957462787628, 0.044411998242139816, 0.0552406832575798, 0.14782948791980743, 0.06308581680059433, 0.12779876589775085, 0.04487079009413719, 0.05546068772673607, 0.1561051458120346, 0.11022061854600906, 0.10868780314922333, 0.04231521859765053, 0.054911352694034576, 0.280929297208786, 0.10535211116075516, 0.0990942120552063, 0.08218367397785187, 0.06855740398168564, 0.06252459436655045, 0.06359335780143738, 0.44095540046691895, 0.10137835144996643, 0.13286851346492767, 0.0989258885383606, 0.0574171282351017, 0.07040149718523026, 0.43101903796195984, 0.09797308593988419, 0.15162770450115204, 0.10088252276182175, 0.09750140458345413, 0.06397691369056702, 0.06297998130321503, 0.2955115735530853, 0.1064922958612442, 0.17229026556015015, 0.12991096079349518, 0.08594008535146713, 0.04734795168042183, 0.059249307960271835, 0.26468944549560547, 0.074532650411129, 0.20309285819530487, 0.13851326704025269, 0.07983198016881943, 0.05316022410988808, 0.07823020964860916, 0.22687578201293945, 0.07572516798973083, 0.20714071393013, 0.13881489634513855, 0.08090642094612122, 0.038946110755205154, 0.07487989962100983, 0.1756598949432373, 0.0582759827375412, 0.21381793916225433, 0.1342359185218811, 0.08433394879102707, 0.04531755670905113, 0.08798231929540634, 0.1723175197839737, 0.05873144045472145, 0.203706294298172, 0.1387888342142105, 0.08371761441230774, 0.04237527772784233, 0.07971052080392838, 0.14658981561660767, 0.052557941526174545, 0.2078002393245697, 0.13815554976463318, 0.06419990956783295, 0.03967501223087311, 0.07915309816598892, 0.1544457972049713, 0.07595480978488922, 0.15027615427970886, 0.11305654048919678, 0.0893852636218071, 0.040470317006111145, 0.09274200350046158, 0.15681812167167664, 0.05568647384643555, 0.1907016485929489, 0.13336622714996338, 0.07050120830535889, 0.03824888542294502, 0.09766852855682373, 0.13989457488059998, 0.05069120228290558, 0.17151685059070587, 0.12584522366523743, 0.0902804508805275, 0.04270525276660919, 0.10279067605733871, 0.15026326477527618, 0.05657373368740082, 0.15870918333530426, 0.1263689249753952, 0.08369357883930206, 0.043214719742536545, 0.11740502715110779, 0.15313030779361725, 0.05047208070755005, 0.1534045785665512, 0.12157654017210007, 0.0693742111325264, 0.04313567280769348, 0.09856238216161728, 0.1907966136932373, 0.10700841248035431, 0.20926392078399658, 0.1840086728334427, 0.11468583345413208, 0.4103037416934967 ], [ 0.542002260684967, 0.05449540540575981, 0.08800593763589859, 0.06593815237283707, 0.12085708230733871, 0.060150180011987686, 0.1812211126089096, 0.40597447752952576, 0.09995757043361664 ], [ 0.41327840089797974, 0.04583250358700752, 0.18618087470531464, 0.3114604949951172, 0.29352205991744995, 0.09875178337097168, 0.0006872234516777098, 0.07486496865749359, 0.07619421184062958, 0.10939078032970428, 0.8714776039123535, 0.9842930436134338 ], [ 0.004843404982239008, 0.6974165439605713, 0.004987787920981646, 0.021149462088942528, 0.10037148743867874, 0.030200717970728874, 0.07006902992725372, 0.1850130707025528, 0.012999513186514378, 0.032854922115802765, 0.0008664473425596952, 0.09228347986936569, 0.03988195210695267, 0.15616187453269958, 0.22597399353981018, 0.015617279335856438, 0.057887185364961624, 0.002168780192732811, 0.12361476570367813, 0.0030312081798911095, 0.05916636437177658, 0.015032515861093998, 0.137239471077919, 0.09077680855989456, 0.025900982320308685, 0.017503947019577026, 0.0250471830368042, 0.02682298980653286, 0.01711008884012699, 0.03598814830183983, 0.16765964031219482, 0.013260530307888985, 0.05451380833983421, 0.00012967459042556584, 0.031604185700416565, 0.07226470857858658, 0.04224183037877083, 0.04512454569339752, 0.002587890485301614, 0.0949314534664154, 0.09559530764818192, 0.041610609740018845, 0.07168421894311905, 0.007971785962581635, 0.08828004449605942, 0.09133040904998779, 0.04648866876959801, 0.10897143930196762, 0.009060083888471127, 0.09010280668735504, 0.08538199216127396, 0.052117835730314255, 0.12689194083213806, 0.016413867473602295, 0.14174693822860718, 0.09424783289432526, 0.06110987067222595, 0.11861536651849747, 0.026936916634440422, 0.09207689762115479, 0.08790900558233261, 0.046046823263168335, 0.12432312965393066, 0.02136671356856823, 0.09260965138673782, 0.07958094775676727, 0.06428184360265732, 0.113558329641819, 0.022466475144028664, 0.20470093190670013, 0.06986749172210693, 0.09273786842823029, 0.11709281802177429, 0.03132690116763115, 0.043783120810985565, 0.07981745153665543, 0.04321866109967232, 0.038423288613557816, 0.0808190256357193, 0.04950669780373573, 0.0506606288254261, 0.0870879516005516, 0.04981137439608574, 0.06262873113155365, 0.08079858869314194, 0.03915609419345856, 0.05098738148808479, 0.08936578035354614, 0.06556711345911026, 0.23847328126430511, 0.003672379767522216, 0.09442733228206635, 0.13552705943584442, 0.03918454423546791, 0.07451414316892624, 0.0198390893638134, 0.08161702007055283, 0.09528589993715286, 0.05049114301800728, 0.04346909746527672, 0.07069941610097885, 0.06043161079287529, 0.04014716297388077, 0.12262911349534988, 0.023889586329460144, 0.07875075936317444, 0.009542231447994709, 0.003255545860156417, 0.06127581745386124, 0.08276229351758957, 0.03452783077955246, 0.010311108082532883, 0.24121174216270447, 0.07493659853935242, 0.03456506505608559, 0.009230051189661026, 0.08554631471633911, 0.08837472647428513, 0.07942675054073334, 0.03582834452390671, 0.02099052257835865, 0.11065102368593216, 0.13048985600471497, 0.07633940130472183, 0.038487717509269714, 0.029965875670313835, 0.1310252696275711, 0.1767357736825943, 0.08883437514305115, 0.040649544447660446, 0.027575409039855003, 0.1258222907781601, 0.17898216843605042, 0.08237125724554062, 0.056674398481845856, 0.019573433324694633, 0.1700475960969925, 0.19930396974086761, 0.08110663294792175, 0.047292642295360565, 0.03913171961903572, 0.09484273940324783, 0.09813766926527023, 0.06006678566336632, 0.042982619255781174, 0.017492013052105904, 0.13925601541996002, 0.1778458058834076, 0.0902068093419075, 0.058133501559495926, 0.09096794575452805, 0.04344653710722923, 0.016863403841853142, 0.12098633497953415, 0.21960009634494781, 0.11010362207889557, 0.04114244505763054, 0.04053688049316406, 0.12064733356237411, 0.23641644418239594, 0.10765721648931503, 0.11171668022871017, 0.1364355981349945, 0.10369831323623657, 0.15692868828773499, 0.0778576135635376, 0.02957872487604618, 0.09829001128673553, 0.22492951154708862, 0.1300983726978302, 0.07131598889827728, 0.048499565571546555, 0.18170017004013062, 0.28713494539260864, 0.14750073850154877, 0.061594340950250626, 0.06972289085388184, 0.10018236190080643, 0.23073901236057281, 0.13127660751342773, 0.06074504181742668, 0.058316297829151154, 0.13505178689956665, 0.2401430308818817, 0.11428175866603851, 0.11720467358827591, 0.19490261375904083, 0.9546005725860596 ], [ 0.0034086734522134066, 0.7223383784294128, 0.20768660306930542, 0.19453826546669006, 0.018708575516939163, 0.08544748276472092, 0.021089378744363785, 0.049926552921533585, 0.2799190282821655, 0.08069229871034622, 0.22023382782936096, 0.09934312850236893, 0.13967616856098175, 0.0851009413599968, 0.09206243604421616, 0.11512141674757004, 0.09664420038461685, 0.10529688745737076, 0.09686039388179779, 0.11774633824825287, 0.09580010175704956, 0.11730584502220154, 0.08882739394903183, 0.10917939990758896, 0.07957194000482559, 0.11662138253450394, 0.07611165940761566, 0.10994268208742142, 0.07032647728919983, 0.10631683468818665, 0.07015538960695267, 0.12992534041404724, 0.06845293939113617, 0.11874668300151825, 0.06866414099931717, 0.11861617118120193, 0.06135812774300575, 0.12866219878196716, 0.06624120473861694, 0.09591750800609589, 0.06728652864694595, 0.10002707690000534, 0.06854754686355591, 0.0996728166937828, 0.06706127524375916, 0.09883729368448257, 0.0731896236538887, 0.09189233928918839, 0.06423750519752502, 0.09390568733215332, 0.0703909769654274, 0.11575961858034134, 0.07110562920570374, 0.09095527976751328, 0.06642483174800873, 0.10086356848478317, 0.07059121876955032, 0.1012461930513382, 0.07286631315946579, 0.09630225598812103, 0.07376963645219803, 0.09842558950185776, 0.07670571655035019, 0.09211166948080063, 0.07048086076974869, 0.10141723603010178, 0.0719183012843132, 0.1028565764427185, 0.07498527318239212, 0.08908669650554657, 0.0736687034368515, 0.09321632981300354, 0.08038034290075302, 0.09280867129564285, 0.08484925329685211, 0.09299090504646301, 0.06990165263414383, 0.09445632994174957, 0.07037138193845749, 0.09811831265687943, 0.06808476150035858, 0.11952020227909088, 0.06822991371154785, 0.09525474905967712, 0.0789196789264679, 0.09360312670469284, 0.07548686861991882, 0.10996069014072418, 0.07690922915935516, 0.1096712201833725, 0.08110212534666061, 0.12465011328458786, 0.0839678943157196, 0.10813356935977936, 0.07350979745388031, 0.0959412083029747, 0.06559552252292633, 0.10272904485464096, 0.06860651075839996, 0.0846976563334465, 0.06924975663423538, 0.12030834704637527, 0.07171159982681274, 0.09071657061576843, 0.07367098331451416, 0.08801917731761932, 0.07540436834096909, 0.10578980296850204, 0.07965051382780075, 0.10353731364011765, 0.07557176798582077, 0.1061992272734642, 0.07026050984859467, 0.09689585119485855, 0.07059146463871002, 0.09989005327224731, 0.07079754024744034, 0.10046940296888351, 0.08044906705617905, 0.09524393081665039, 0.07490546256303787, 0.1055934727191925, 0.08093543350696564, 0.09275612980127335, 0.07931364327669144, 0.1035337820649147, 0.07756015658378601, 0.11311111599206924, 0.07384321093559265, 0.09209504723548889, 0.07400806248188019, 0.1004747822880745, 0.0722382664680481, 0.09566602110862732, 0.08018422871828079, 0.09133614599704742, 0.07132233679294586, 0.09680589288473129, 0.07393927127122879, 0.08237386494874954, 0.08490555733442307, 0.08689102530479431, 0.0769113302230835, 0.08792586624622345, 0.07227346301078796, 0.09529900550842285, 0.06796855479478836, 0.09730537980794907, 0.0668191984295845, 0.07008583843708038, 0.059085216373205185, 0.08882256597280502, 0.06408733129501343, 0.09969040751457214, 0.06852474063634872, 0.07917829602956772, 0.07107394933700562, 0.08998774737119675, 0.07504109293222427, 0.08777039498090744, 0.07246187329292297, 0.09336168318986893, 0.067194864153862, 0.09010644257068634, 0.07024609297513962, 0.08810660988092422, 0.06689228862524033, 0.08477482944726944, 0.0770179033279419, 0.08865080028772354, 0.07928909361362457, 0.09318272024393082, 0.07837079465389252, 0.10940247774124146, 0.08642898499965668, 0.0021091958042234182 ], [ 0.09722742438316345, 0.05165307596325874, 0.08025157451629639, 0.09871423989534378, 0.08458803594112396, 0.0857926458120346, 0.12822780013084412, 0.15057574212551117, 0.09617181867361069, 0.16860780119895935, 0.18268746137619019, 0.3191889524459839, 0.05540543422102928, 0.08805608749389648, 0.16184799373149872, 0.08153638988733292, 0.18240448832511902, 0.19934193789958954, 0.013062841258943081, 0.07212717086076736, 0.06782761961221695, 0.47529542446136475, 0.14496907591819763, 0.09132566303014755, 0.06989434361457825, 0.6801751255989075, 0.3649887442588806, 0.19480739533901215, 0.08392278850078583, 0.026953930035233498, 0.0464048907160759, 0.08337945491075516, 0.0392875038087368, 0.047576744109392166, 0.07787226140499115, 0.0818261057138443, 0.09650545567274094, 0.06466179341077805, 0.10645953565835953, 0.06306281685829163, 0.13545618951320648, 0.06968274712562561, 0.15042924880981445, 0.07704820483922958, 0.14842788875102997, 0.07351129502058029, 0.1543554663658142, 0.078542560338974, 0.15699833631515503, 0.08727795630693436, 0.13694286346435547, 0.09663279354572296, 0.1399533897638321, 0.0920400395989418, 0.15312698483467102, 0.08631061762571335, 0.14924350380897522, 0.09015434980392456, 0.13343054056167603, 0.09076841920614243, 0.12953375279903412, 0.10017312318086624, 0.1389465183019638, 0.09846879541873932, 0.12008461356163025, 0.10002545267343521, 0.11825739592313766, 0.1259414553642273, 0.11579394340515137, 0.1309114545583725, 0.15594710409641266, 0.11972363293170929, 0.11864154040813446, 0.11943928152322769, 0.1195276752114296, 0.10247881710529327, 0.10937005281448364, 0.10640203207731247, 0.14142675697803497, 0.12479712814092636, 0.11886589974164963, 0.11980058252811432, 0.11064089089632034, 0.11454309523105621, 0.0961509719491005, 0.10747749358415604, 0.10295085608959198, 0.1327877789735794, 0.09503518790006638, 0.13055218756198883, 0.0950925350189209, 0.14096371829509735, 0.12136982381343842, 0.134707972407341, 0.09709963202476501, 0.1153581514954567, 0.09629234671592712, 0.12093070894479752, 0.11557184159755707, 0.1293354481458664, 0.08886876702308655, 0.13458769023418427, 0.10596431791782379, 0.14056991040706635, 0.10178009420633316, 0.12064658105373383, 0.10023670643568039, 0.13220974802970886, 0.10005490481853485, 0.1370166540145874, 0.10773377865552902, 0.14904454350471497, 0.12521249055862427, 0.1415369063615799, 0.10778796672821045, 0.1215190589427948, 0.10199066996574402, 0.1254270076751709, 0.09823238104581833, 0.13275115191936493, 0.10092170536518097, 0.13558003306388855, 0.10551050305366516, 0.14502553641796112, 0.08610589057207108, 0.1343226134777069, 0.08849393576383591, 0.1474384367465973, 0.10206484794616699, 0.14555300772190094, 0.09757528454065323, 0.1444619745016098, 0.10804899036884308, 0.1378605216741562, 0.10403162986040115, 0.11299417167901993, 0.10054401308298111, 0.1254190057516098, 0.09820370376110077, 0.14037100970745087, 0.10266739130020142, 0.13891685009002686, 0.13509368896484375, 0.14982056617736816, 0.1103079542517662, 0.13882453739643097, 0.11072011291980743, 0.1533777117729187, 0.09802091121673584, 0.1575297713279724, 0.10924917459487915, 0.15803897380828857, 0.09849203377962112, 0.14016784727573395, 0.08795015513896942, 0.1343321055173874, 0.086262047290802, 0.14221152663230896, 0.0980910137295723, 0.1566184163093567, 0.09409444779157639, 0.1508021503686905, 0.10121356695890427, 0.1633797138929367, 0.08487037569284439, 0.14411339163780212, 0.10604123026132584, 0.14720171689987183, 0.09384103864431381, 0.14425541460514069, 0.09466179460287094, 0.1543598175048828, 0.09945154935121536, 0.14344055950641632, 0.08176741003990173, 0.15004901587963104, 0.08312724530696869, 0.14610038697719574, 0.08870188891887665, 0.1554202437400818, 0.0961722880601883, 0.14531156420707703, 0.11292411386966705, 0.1592317670583725, 0.09399227797985077, 0.15929658710956573, 0.08583270758390427, 0.1650630235671997, 0.08541536331176758, 0.1530439406633377, 0.0968053936958313, 0.1692354530096054, 0.1606653332710266, 0.16101917624473572, 0.09349287301301956, 0.16976971924304962, 0.11149609088897705, 0.010720901191234589, 0.02167103812098503, 0.03314214572310448, 0.017824338749051094, 0.022217517718672752, 0.008563118055462837, 0.044020939618349075, 0.07346730679273605, 0.014059443026781082, 0.04232482239603996, 0.04399698227643967, 0.1905108243227005, 0.039010751992464066, 0.027903486043214798, 0.06834736466407776, 0.04141251742839813, 0.05360167473554611, 0.0407654270529747, 0.007263032253831625, 0.05549639090895653, 0.028781013563275337, 0.17716655135154724, 0.14811408519744873, 0.06787877529859543, 0.07048361003398895, 0.028339369222521782, 0.02777569554746151, 0.05296739190816879, 0.02765139937400818, 0.07220517098903656, 0.036639004945755005, 0.04330262169241905, 0.04797700420022011, 0.027652975171804428, 0.07641757279634476, 0.029266517609357834, 0.04418632388114929, 0.05417186766862869, 0.01980593055486679, 0.08071586489677429, 0.06729026883840561, 0.06015077233314514, 0.11671950668096542, 0.01217726431787014, 0.073769211769104, 0.03148563578724861, 0.12286268174648285, 0.13134340941905975, 0.02499087154865265, 0.05750792846083641, 0.017399657517671585, 0.9482164978981018 ], [ 0.06447821855545044, 0.09670762717723846, 0.15628324449062347, 0.2132243514060974, 0.0026457211934030056, 0.12855194509029388, 0.12050110846757889, 0.10578029602766037, 0.8714476227760315, 0.9756454229354858 ], [ 0.03466801717877388, 0.04966701567173004, 0.1978103518486023, 0.05404338240623474, 0.07370928674936295, 0.237729012966156, 0.25330907106399536, 0.41847875714302063, 0.27401262521743774, 0.05466461181640625, 0.06804230064153671, 0.04793300852179527, 0.07145512849092484, 0.1933528631925583, 0.08168631792068481, 0.03964869678020477, 0.049763619899749756 ], [ 0.4456128180027008, 0.3855604827404022, 0.11116881668567657, 0.052122000604867935, 0.06277377903461456, 0.03665510192513466, 0.05888598784804344, 0.2279006689786911 ], [ 0.051476944237947464, 0.06824459135532379, 0.12723320722579956, 0.23557929694652557, 0.18072691559791565, 0.9872561693191528, 0.9935271739959717 ], [ 0.2090265303850174, 0.00035472572199068964, 0.24524818360805511, 0.03390514478087425, 0.006298473570495844, 0.22113558650016785, 0.23255684971809387, 0.02046590857207775, 0.014688064344227314, 0.00030166344367899, 0.10648798197507858, 0.0029082486871629953, 0.052103299647569656, 0.04051772877573967, 0.05232648923993111, 0.1276242733001709, 0.10062800347805023, 0.11384211480617523, 0.031652189791202545, 0.03753216564655304, 0.03822193294763565, 0.12297078967094421, 0.09198326617479324, 0.2970201075077057, 0.0628933385014534, 0.1806480884552002, 0.46491938829421997, 0.06614779680967331, 0.1289769560098648, 0.06939539313316345, 0.0795937329530716, 0.15866106748580933, 0.03722397983074188, 0.0019121661316603422 ] ] }, { "q_id": "8136_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9243202209472656, 0.19095274806022644, 0.8346015214920044, 0.8061612248420715, 0.9342800378799438, 0.006849674973636866 ], [ 0.9358083009719849, 0.18417669832706451, 0.4425654411315918, 0.9217307567596436, 0.9956563711166382, 0.9983661770820618 ], [ 0.2128141224384308, 0.19959935545921326, 0.9507291913032532, 0.9965537786483765, 0.9986276626586914 ], [ 0.8860406279563904, 0.9616906046867371, 0.6616421937942505, 0.9980884194374084, 0.9986513257026672 ], [ 0.8522090315818787, 0.8100649118423462, 0.9951666593551636, 0.9965800642967224 ], [ 0.9599562883377075, 0.9191578030586243, 0.9457783102989197, 0.9132378101348877, 0.9923872947692871, 0.9976378679275513 ], [ 0.9024040102958679, 0.9485487937927246, 0.9987603425979614, 0.9987861514091492 ], [ 0.9417786598205566, 0.17522409558296204, 0.8074381351470947, 0.9971484541893005, 0.0007745616021566093 ], [ 0.8953394293785095, 0.9911592602729797, 0.9962548017501831 ], [ 0.9208786487579346, 0.012666053138673306, 0.3405061662197113, 0.07861509174108505, 0.9670785665512085, 0.8964150547981262, 0.4387570023536682, 0.19113607704639435, 0.9981021285057068, 0.9986724853515625 ], [ 0.9417906999588013, 0.1612939089536667, 0.9349578022956848, 0.9967930912971497, 0.9974070191383362 ], [ 0.9070987701416016, 0.9560144543647766, 0.9955418705940247, 0.998195230960846 ], [ 0.7305796146392822, 0.1724647581577301, 0.9356061220169067, 0.9984006285667419, 0.999338686466217, 0.9991468191146851 ], [ 0.7742456793785095, 0.9288593530654907, 0.6797940731048584, 0.9972454309463501, 0.9985125660896301 ], [ 0.6543707847595215, 0.01359891053289175, 0.8952583074569702, 0.8789919018745422, 0.29718780517578125, 0.4683859944343567, 0.9688275456428528, 0.9992038607597351, 0.9992434978485107 ], [ 0.9070988297462463, 0.3230765759944916, 0.7495979070663452, 0.8699278235435486, 0.9373431205749512, 0.20495754480361938, 0.9871212840080261, 0.9990027546882629, 0.9994670748710632 ] ] }, { "q_id": "7777_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.013518369756639004, 0.005711337085813284, 0.09056191891431808, 0.09149128198623657, 0.32660192251205444, 0.10202709585428238, 0.0725540742278099, 0.09130038321018219, 0.41743984818458557, 0.11291705071926117, 0.2072267085313797, 0.047864269465208054, 0.2157967984676361, 0.0983489379286766, 0.09778260439634323, 0.10892245918512344, 0.9919098019599915, 0.999356210231781 ], [ 0.1923651397228241, 0.2098471224308014, 0.11561601608991623, 0.04132063686847687, 0.04607249051332474, 0.08098737895488739, 0.10466431826353073, 0.10131832212209702, 0.1758410930633545, 0.31789693236351013, 0.04310629889369011, 0.11670172214508057, 0.27881091833114624, 0.09750010073184967, 0.27966660261154175, 0.29768064618110657, 0.011419232003390789, 0.0007870375993661582 ], [ 0.1943659484386444, 0.05140577256679535, 0.06368342787027359, 0.07181266695261002, 0.15028926730155945, 0.35137519240379333, 0.19795385003089905, 0.09085039049386978, 0.0960046648979187, 0.11231271922588348, 0.09971249103546143, 0.10277076065540314, 0.24437524378299713, 0.18891480565071106, 0.1891871988773346, 0.04306976497173309, 0.0812809020280838, 0.03363307565450668, 0.11805518716573715, 0.31812456250190735, 0.10118672251701355, 0.11494249850511551, 0.15564769506454468, 0.20479364693164825, 0.9715555906295776, 0.9993732571601868 ], [ 0.40903645753860474, 0.08254699409008026, 0.09113621711730957, 0.02776874601840973, 0.12468107789754868, 0.25697973370552063, 0.10224635154008865, 0.07830469310283661, 0.022498123347759247, 0.09518962353467941, 0.230604887008667, 0.13375915586948395, 0.0465862937271595, 0.14252807199954987, 0.04032059758901596, 0.005847648251801729, 0.000693461683113128 ], [ 0.2939063310623169, 0.07686381042003632, 0.06806360930204391, 0.011717396788299084, 0.13940347731113434, 0.15194061398506165, 0.0777466669678688, 0.015420359559357166, 0.04325993359088898, 0.02005712501704693, 0.01628306694328785, 0.0006422228761948645 ], [ 0.5988619327545166, 0.021050047129392624, 0.2836393415927887, 0.07650285959243774, 0.17725129425525665, 0.1390436440706253, 0.02627558447420597, 0.15320898592472076, 0.060878656804561615, 0.1291860193014145, 0.12305504828691483, 0.9888966083526611, 0.9995427131652832 ], [ 0.03766248747706413, 0.07360456138849258, 0.10009191185235977, 0.029977573081851006, 0.11792086064815521, 0.48639488220214844, 0.07435854524374008, 0.08339028060436249, 0.25307297706604004, 0.12822768092155457, 0.03326524794101715, 0.12490684539079666, 0.13043196499347687, 0.06296276301145554, 0.24108514189720154, 0.1417357474565506, 0.06111128628253937, 0.11381898075342178, 0.15963780879974365, 0.9316969513893127, 0.9991329312324524 ], [ 0.0751473680138588, 0.18030700087547302, 0.004650843795388937, 0.0005352756706997752 ], [ 0.0380314439535141, 0.02506866306066513, 0.1321067214012146, 0.12210392951965332, 0.17399390041828156, 0.08296878635883331, 0.027176404371857643, 0.0004346058703958988 ], [ 0.07744993269443512, 0.034613437950611115, 0.01979636959731579, 0.0977555587887764, 0.15050017833709717, 0.021666450425982475, 0.05076026916503906, 0.05786706134676933, 0.05791478231549263, 0.09199895709753036, 0.1502237468957901, 0.12454880774021149, 0.15963390469551086, 0.013409839943051338, 0.0005779443890787661 ], [ 0.2656792104244232, 0.19646795094013214, 0.09672816097736359, 0.052637167274951935, 0.023410078138113022, 0.0349368080496788, 0.06737333536148071, 0.23587165772914886, 0.19586265087127686, 0.1329396665096283, 0.006629546172916889, 0.0006025708862580359 ], [ 0.04503798484802246, 0.19921374320983887, 0.9936188459396362, 0.9993901252746582 ], [ 0.024907976388931274, 0.05044834315776825, 0.05544422194361687, 0.051772404462099075, 0.05776349827647209, 0.08472312986850739, 0.010666496120393276, 0.0005447992007248104 ], [ 0.12545782327651978, 0.1741858571767807, 0.06659755110740662, 0.14838136732578278, 0.22261160612106323, 0.991737425327301, 0.9992210865020752 ], [ 0.25318285822868347, 0.17479407787322998, 0.09977187216281891, 0.23740486800670624, 0.29766160249710083, 0.2197655737400055, 0.2955518662929535, 0.0032826520036906004, 0.0004417651507537812 ], [ 0.059030018746852875, 0.0175981055945158, 0.4004208743572235, 0.234295055270195, 0.17222675681114197, 0.048150449991226196, 0.054436247795820236, 0.23250903189182281, 0.27173134684562683, 0.05113840103149414, 0.01045754924416542, 0.0005568022606894374 ] ] }, { "q_id": "7983_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.07350480556488037, 0.0536506287753582, 0.06178761273622513, 0.06436256319284439, 0.04452812299132347, 0.07110490649938583, 0.14211633801460266, 0.08166135102510452, 0.0698639377951622, 0.03585520014166832, 0.06420271843671799, 0.0777345597743988, 0.030083341524004936, 0.05110173672437668, 0.06834598630666733, 0.09231839329004288, 0.07583147287368774, 0.057632237672805786, 0.09832175821065903, 0.10878405719995499, 0.03901835158467293, 0.06332340091466904, 0.09398651123046875, 0.021220438182353973, 0.042137354612350464, 0.0193842314183712, 0.06613963097333908, 0.08862137049436569, 0.49707847833633423, 0.119762122631073, 0.12259247899055481, 0.08921025693416595, 0.22288104891777039, 0.2694033086299896, 0.15726470947265625, 0.06914612650871277, 0.12449761480093002, 0.029942264780402184, 0.06783745437860489, 0.13447071611881256, 0.1273919641971588, 0.11814567446708679, 0.08789611607789993, 0.19123031198978424, 0.20511755347251892, 0.056967251002788544, 0.1005982756614685, 0.1307477504014969, 0.12052041292190552, 0.09877250343561172, 0.16692928969860077, 0.2031497359275818, 0.13836687803268433, 0.11934794485569, 0.1464109569787979, 0.15807786583900452, 0.15101207792758942, 0.15205469727516174, 0.11228596419095993, 0.1425001174211502, 0.1100662499666214, 0.1609826683998108, 0.11315866559743881, 0.19015935063362122, 0.17458508908748627, 0.1903834342956543, 0.18644684553146362, 0.2340756505727768, 0.06021153926849365, 0.17434576153755188, 0.11469465494155884, 0.1104809045791626, 0.14976000785827637, 0.1645510047674179, 0.14004965126514435, 0.16406941413879395, 0.16990995407104492, 0.10645522177219391, 0.07766085118055344, 0.003692111000418663, 0.13140761852264404, 0.27658727765083313, 0.08944399654865265, 0.09471935033798218, 0.10284922271966934, 0.10477826744318008, 0.01560626644641161, 0.5786274671554565, 0.12581411004066467, 0.12364079058170319, 0.15428563952445984, 0.1457628309726715, 0.09036225080490112, 0.16582521796226501, 0.21103912591934204, 0.19162200391292572, 0.21110433340072632, 0.09996708482503891, 0.18652155995368958, 0.07619786262512207, 0.12477279454469681, 0.03494274243712425 ], [ 0.217407688498497, 0.10085050761699677, 0.16153286397457123, 0.18491041660308838, 0.003936429508030415 ], [ 0.014699836261570454, 0.03189283236861229 ], [ 0.07471949607133865, 0.01720510609447956 ], [ 0.05794801190495491, 0.006059977225959301 ], [ 0.05380646511912346, 0.07763029634952545, 0.05737354978919029, 0.02545413188636303, 0.050086840987205505, 0.02186642400920391 ], [ 0.035529427230358124, 0.10118494927883148, 0.0948629379272461, 0.12018753588199615, 0.11538787931203842, 0.07928815484046936, 0.06745461374521255, 0.08551464974880219, 0.10556074231863022, 0.09908990561962128, 0.12146002054214478, 0.1122899055480957, 0.004629410337656736 ], [ 0.20332099497318268, 0.21711471676826477, 0.05943413823843002, 0.07019254565238953, 0.012381931766867638, 0.1916506588459015, 0.07788696140050888, 0.13354669511318207, 0.19871914386749268, 0.13665112853050232, 0.011335349641740322, 0.06330467760562897, 0.18676535785198212, 0.4413943290710449, 0.11523120105266571, 0.9708967208862305 ], [ 0.00956543255597353, 0.007201822008937597 ], [ 0.01370199490338564, 0.010054698213934898, 0.012689325027167797, 0.003963051363825798 ], [ 0.04679233580827713, 0.056797295808792114, 0.06664571166038513, 0.133965864777565, 0.03928312659263611, 0.09680688381195068, 0.002578501822426915, 0.0387909933924675, 0.07369028031826019, 0.037777166813611984 ], [ 0.2175387442111969, 0.2720601558685303, 0.036748308688402176, 0.07383178919553757, 0.022870758548378944, 0.0747489333152771, 0.028038807213306427, 0.062194645404815674, 0.002606478054076433, 0.04237651452422142, 0.012355957180261612, 0.02916453219950199, 0.05389939993619919 ], [ 0.18728990852832794, 0.04721697047352791, 0.047995805740356445, 0.06124597787857056, 0.041328079998493195, 0.06340348720550537, 0.04587197303771973, 0.10024634003639221, 0.04437460005283356, 0.09381112456321716, 0.10017620772123337, 0.15333683788776398, 0.11400144547224045, 0.017619051039218903, 0.03402256593108177, 0.037905797362327576, 0.00858857948333025 ], [ 0.31032902002334595, 0.2419649362564087, 0.039502233266830444, 0.05765508860349655, 0.041426125913858414, 0.07836390286684036, 0.10521426051855087, 0.019132176414132118, 0.34591010212898254, 0.1701522022485733, 0.02421962097287178, 0.10610440373420715, 0.058857593685388565, 0.06681842356920242 ], [ 0.18825075030326843, 0.04058871045708656, 0.07481079548597336, 0.09608159214258194, 0.027202272787690163, 0.08249182999134064, 0.034184958785772324, 0.09789460152387619, 0.06159249320626259, 0.10515062510967255, 0.003543513361364603, 0.11228986829519272, 0.1266905963420868, 0.03044053539633751, 0.08717511594295502, 0.03125285729765892, 0.10976586490869522, 0.06273680925369263, 0.2072076052427292, 0.07273010164499283, 0.2925606667995453, 0.059823356568813324, 0.2788272500038147, 0.03165007010102272, 0.08784385025501251, 0.19092828035354614, 0.12820295989513397, 0.12068336457014084, 0.09366930276155472, 0.04739794135093689, 0.17654317617416382, 0.0746757909655571, 0.17644242942333221, 0.15111123025417328, 0.05985640734434128, 0.14965233206748962, 0.07509296387434006, 0.2440163791179657, 0.28934550285339355, 0.06735628843307495, 0.36596956849098206, 0.12210580706596375, 0.4908728301525116, 0.14126308262348175, 0.2250421792268753, 0.001345147960819304, 0.22722600400447845, 0.012281503528356552, 0.18766646087169647, 0.04079001024365425, 0.11412504315376282, 0.1839219182729721, 0.05744750797748566, 0.3915901780128479, 0.10025744140148163, 0.47911906242370605, 0.024383222684264183, 0.09221955388784409, 0.26788297295570374, 0.020801324397325516, 0.09560634940862656, 0.029843147844076157, 0.47185230255126953, 0.045468706637620926, 0.15522617101669312, 0.12625347077846527, 0.5791487097740173, 0.08915683627128601, 0.43781647086143494, 0.006992913316935301, 0.1430831402540207, 0.06579743325710297, 0.12482082843780518, 0.01155806239694357, 0.14108061790466309, 0.06415311992168427, 0.18803231418132782, 0.037649959325790405, 0.11441890150308609, 0.023361528292298317, 0.023232530802488327, 0.19699865579605103, 0.04049777239561081, 0.24593311548233032, 0.11658022552728653, 0.36085331439971924, 0.04153740033507347, 0.2725251019001007, 0.0896870568394661, 0.20663315057754517, 0.006085425149649382, 0.16602806746959686, 0.01789911277592182, 0.14835472404956818, 0.29479652643203735, 0.07306883484125137, 0.09041286259889603, 0.356408029794693, 0.10092793405056, 0.7428286671638489, 0.28313925862312317, 0.10137300193309784, 0.04656240716576576, 0.734566330909729, 0.16532407701015472, 0.14724159240722656, 0.9554252624511719 ] ] }, { "q_id": "8569_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4725278913974762, 0.14951084554195404, 0.1623598039150238, 0.2744639813899994, 0.9966018199920654, 0.9984527826309204 ], [ 0.7338960766792297, 0.41220709681510925, 0.3269622325897217, 0.13484154641628265, 0.5222350358963013, 0.16684965789318085, 0.9974820017814636, 0.9991346001625061 ], [ 0.7240351438522339, 0.2210639864206314, 0.16675283014774323, 0.5486143231391907, 0.9988598823547363, 0.9994702935218811 ], [ 0.8151912093162537, 0.26126518845558167, 0.09037008881568909, 0.3784341812133789, 0.4193113446235657, 0.9968262910842896, 0.9984904527664185 ], [ 0.3184679448604584, 0.9936262369155884, 0.9948476552963257 ], [ 0.6146284937858582, 0.3223220109939575, 0.5547432899475098, 0.08591966331005096, 0.9948338270187378, 0.9985093474388123 ], [ 0.5410439372062683, 0.3041801154613495, 0.27104616165161133, 0.583126962184906, 0.997812032699585, 0.9988682270050049 ], [ 0.7375231385231018, 0.11716239899396896, 0.1049453541636467, 0.1188097670674324, 0.3353720009326935, 0.9972903728485107, 0.9981580376625061 ], [ 0.4218139350414276, 0.31549638509750366, 0.1256704330444336, 0.27219265699386597, 0.10901347547769547, 0.5149838924407959, 0.9979825019836426, 0.9994563460350037 ], [ 0.9049773812294006, 0.6009399890899658, 0.23217597603797913, 0.19572360813617706, 0.3667263686656952, 0.9962987303733826, 0.9990156888961792 ], [ 0.7740867137908936, 0.0084123769775033, 0.25225791335105896, 0.08125509321689606, 0.21509429812431335, 0.131185844540596, 0.39752197265625, 0.9966917037963867, 0.9986088871955872 ], [ 0.6500468254089355, 0.0860799252986908, 0.08824845403432846, 0.9917131662368774, 0.9924692511558533 ], [ 0.5560182332992554, 0.13493363559246063, 0.029720796272158623, 0.2513270974159241, 0.15183711051940918, 0.3490365743637085, 0.17560364305973053, 0.5475319027900696, 0.9978502988815308, 0.999496579170227 ], [ 0.8514719605445862, 0.3385485112667084, 0.32811322808265686, 0.9979244470596313, 0.9993249177932739 ], [ 0.7638264894485474, 0.17965269088745117, 0.22760142385959625, 0.3491083085536957, 0.16928164660930634, 0.24173569679260254, 0.23454409837722778, 0.5378455519676208, 0.9972532391548157, 0.9990460276603699 ], [ 0.7710107564926147, 0.26451584696769714, 0.5923404097557068, 0.9949904084205627, 0.9981429576873779 ] ] }, { "q_id": "8295_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.04167058691382408, 0.06806782633066177, 0.043216634541749954, 0.043859709054231644, 0.014464429579675198, 0.00525363115593791, 0.00393792986869812 ], [ 0.049420811235904694, 0.038743942975997925, 0.030200563371181488, 0.055160701274871826, 0.04262318089604378 ], [ 0.019800357520580292, 0.026876451447606087, 0.0037961285561323166 ], [ 0.02052268758416176, 0.06371515989303589, 0.02898854948580265, 0.012899861671030521, 0.029385600239038467, 0.0012203396763652563 ], [ 0.0324338935315609, 0.028960388153791428, 0.04245381057262421, 0.060110244899988174, 0.09577035903930664, 0.07738123834133148, 0.0187373124063015, 0.05912119895219803, 0.02036449871957302 ], [ 0.0508207269012928, 0.05085301399230957, 0.02454005554318428, 0.0426492914557457, 0.001423985930159688 ], [ 0.03065773844718933, 0.06747359037399292, 0.04827629029750824, 0.05696369707584381, 0.03846486657857895, 0.06261365860700607, 0.09682628512382507, 0.02704855240881443, 0.0033051278442144394, 0.035102155059576035, 0.01606050319969654, 0.07902876287698746, 0.016413291916251183, 0.06686241179704666, 0.036944661289453506, 0.08923132717609406, 0.013722196221351624, 0.046325281262397766, 0.03008357807993889, 0.04638352245092392, 0.021274590864777565, 0.020697683095932007, 0.028066057711839676, 0.051111917942762375, 0.05597672238945961, 0.049859486520290375, 0.016461225226521492, 0.04431869834661484, 0.059712737798690796, 0.07136169821023941, 0.061815593391656876, 0.06817470490932465, 0.07118087261915207, 0.06065304949879646, 0.08541596680879593, 0.008340529166162014, 0.0692879930138588, 0.0626009926199913, 0.07767510414123535, 0.06008877977728844, 0.04079001024365425, 0.034607477486133575, 0.0544094480574131, 0.04935320466756821, 0.05651248246431351, 0.09841018170118332 ], [ 0.07161712646484375, 0.03207872807979584, 0.03863423317670822, 0.0033050773199647665 ], [ 0.04134954884648323, 0.019239189103245735, 0.02963445335626602, 0.050747450441122055, 0.0759098082780838, 0.0746271088719368, 0.15639200806617737, 0.04590287059545517, 0.048246871680021286, 0.15145725011825562, 0.016525758430361748, 0.085042305290699, 0.022192297503352165, 0.03935755416750908, 0.07502702623605728, 0.04060731828212738, 0.06226157024502754, 0.06929660588502884, 0.07665105909109116, 0.0014283927157521248 ], [ 0.029193585738539696, 0.028057370334863663, 0.029551129788160324, 0.08834361284971237, 0.053253911435604095 ], [ 0.06216881051659584, 0.02681104466319084, 0.035025082528591156, 0.04185529053211212, 0.012244228273630142, 0.03336864709854126, 0.0014725273940712214 ], [ 0.06673450767993927, 0.037163373082876205 ], [ 0.007651379331946373, 0.0017568074399605393 ], [ 0.02919374778866768, 0.03211574628949165, 0.08514081686735153, 0.050892334431409836, 0.009510453790426254, 0.0991891622543335, 0.12253623455762863, 0.042999934405088425, 0.11346903443336487, 0.09207969158887863, 0.05327906087040901, 0.010217924602329731, 0.002502283314242959 ] ] }, { "q_id": "8274_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.14187785983085632, 0.10604926943778992, 0.04448205232620239, 0.04354631155729294, 0.06218927726149559, 0.9677144885063171 ], [ 0.27468156814575195, 0.08488551527261734, 0.0806850865483284, 0.9852404594421387, 0.9923349022865295 ], [ 0.1393636018037796, 0.028289329260587692, 0.026459742337465286, 0.051571134477853775, 0.9608674049377441 ], [ 0.3537934124469757, 0.06996113806962967, 0.08023006469011307, 0.04755885526537895 ], [ 0.39068344235420227, 0.29668211936950684, 0.05682088062167168, 0.9187264442443848, 0.9773678779602051 ], [ 0.08242227137088776, 0.06399916112422943, 0.18470783531665802, 0.01976807788014412, 0.16670595109462738, 0.013388175517320633, 0.048258308321237564, 0.009289508685469627, 0.04217863455414772, 0.07116495817899704, 0.04568866640329361, 0.9805049300193787, 0.9936005473136902 ], [ 0.36369788646698, 0.15075086057186127, 0.09185418486595154, 0.09828181564807892, 0.10222630947828293, 0.9760032296180725, 0.9920742511749268 ], [ 0.39996108412742615, 0.1058732345700264, 0.07329851388931274, 0.10501676797866821, 0.09038440138101578, 0.97879558801651, 0.9913877844810486 ], [ 0.21332533657550812, 0.04184289649128914, 0.03542843833565712, 0.9138922691345215, 0.9735890626907349 ], [ 0.08938956260681152, 0.992668867111206, 0.9948825836181641 ], [ 0.3610326945781708, 0.1207624226808548, 0.10891806334257126, 0.6924147605895996, 0.9809975028038025, 0.9915135502815247 ], [ 0.30448368191719055, 0.07192721217870712, 0.9868484139442444, 0.9939790964126587 ], [ 0.5557825565338135, 0.032033082097768784, 0.03452293574810028, 0.9725379943847656, 0.9866272807121277 ], [ 0.13215315341949463, 0.9769287705421448, 0.9908860921859741 ], [ 0.39068320393562317, 0.18740877509117126, 0.28144147992134094, 0.09455805271863937, 0.11420512944459915, 0.19539445638656616, 0.3555910885334015, 0.9921879768371582, 0.9952704310417175 ], [ 0.17062288522720337, 0.1018250435590744, 0.0836125910282135, 0.1158854141831398, 0.9845917224884033, 0.9938151836395264 ] ] }, { "q_id": "8291_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.0448133759200573, 0.006952524185180664 ], [ 0.24978618323802948, 0.3951583206653595, 0.06920342147350311, 0.44627460837364197, 0.20476210117340088, 0.28641557693481445, 0.8813274502754211, 0.016510499641299248 ], [ 0.15373271703720093, 0.12520454823970795, 0.9634692668914795, 0.024603188037872314 ], [ 0.030152279883623123, 0.09163779020309448, 0.22442756593227386, 0.9843930602073669, 0.03504820168018341 ], [ 0.9805380702018738, 0.004455643706023693 ], [ 0.11172293871641159, 0.1829378604888916, 0.9763690829277039, 0.01504309568554163 ], [ 0.2575168311595917, 0.09551914781332016, 0.18108896911144257, 0.18218888342380524, 0.05128571763634682, 0.8992175459861755, 0.003530629677698016 ], [ 0.03281179443001747, 0.1050570160150528, 0.1547064632177353, 0.37758639454841614, 0.21951211988925934, 0.3821355700492859, 0.6677724123001099, 0.003437427105382085 ], [ 0.16412588953971863, 0.12113673239946365, 0.2362871915102005, 0.35238102078437805, 0.06804301589727402, 0.8985777497291565, 0.0025468962267041206 ], [ 0.12340811640024185, 0.10716461390256882, 0.24338127672672272, 0.3368074297904968, 0.25179359316825867, 0.8326399922370911, 0.014495962299406528 ], [ 0.21811246871948242, 0.26318493485450745, 0.16850264370441437, 0.04391518980264664, 0.9753293991088867, 0.010190477594733238 ], [ 0.3705248534679413, 0.10184602439403534, 0.24247197806835175, 0.1872265636920929, 0.8459064364433289, 0.005637541878968477 ], [ 0.06142184138298035, 0.12275505810976028, 0.2439109832048416, 0.25758063793182373, 0.24174751341342926, 0.18910132348537445, 0.0688599944114685, 0.08497153967618942, 0.9794360399246216, 0.027693839743733406 ], [ 0.11773955076932907, 0.1512245386838913, 0.18258637189865112, 0.9431549906730652, 0.019792143255472183 ], [ 0.07232704013586044, 0.0673658698797226, 0.26603826880455017, 0.984840452671051, 0.027823468670248985 ], [ 0.07123275101184845, 0.16452649235725403, 0.9870269894599915, 0.04803028702735901 ] ] }, { "q_id": "8982_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.031708844006061554, 0.014328576624393463, 0.0016484759980812669 ], [ 0.012272859923541546, 0.014902486465871334, 0.003825353691354394 ], [ 0.09711083769798279, 0.019185932353138924, 0.0013264991575852036 ], [ 0.018465876579284668, 0.03406519815325737, 0.009487864561378956, 0.030018437653779984, 0.05612757056951523, 0.028875505551695824, 0.002807906363159418 ], [ 0.10858968645334244, 0.012193323113024235, 0.023987464606761932, 0.03576682135462761, 0.013849996961653233, 0.02401561103761196, 0.07955112308263779, 0.027575934305787086, 0.0021581428591161966 ], [ 0.02162768878042698, 0.21760644018650055, 0.27750998735427856, 0.014713641256093979, 0.0019439973402768373 ], [ 0.14282794296741486, 0.12384067475795746, 0.03553132340312004, 0.2494005560874939, 0.04912704601883888, 0.029058653861284256, 0.022844770923256874, 0.0021318113431334496 ], [ 0.10164276510477066, 0.059968236833810806, 0.05401623621582985, 0.055634867399930954, 0.014010416343808174, 0.002016351092606783 ], [ 0.01543468702584505, 0.02605181746184826, 0.026523074135184288, 0.08404942601919174, 0.0018350904574617743 ], [ 0.01004747673869133, 0.02140544354915619, 0.029802335426211357, 0.025049034506082535, 0.04557592794299126, 0.023883726447820663, 0.0712360367178917, 0.024310309439897537, 0.04036819189786911, 0.0031433873809874058 ], [ 0.10476122796535492, 0.01544551458209753, 0.05585182458162308, 0.009943293407559395, 0.00732056749984622, 0.03860452398657799, 0.1479170322418213, 0.014980245381593704, 0.08479166775941849 ], [ 0.022256022319197655, 0.029810788109898567, 0.001572782639414072 ], [ 0.30106890201568604, 0.0681382417678833, 0.018424618989229202, 0.0017980856355279684 ], [ 0.025145402178168297, 0.0721902847290039, 0.010657638311386108, 0.02894304320216179, 0.03528875857591629, 0.02925064228475094, 0.0027580102905631065 ], [ 0.14010068774223328, 0.11866811662912369, 0.03159297630190849, 0.041745830327272415, 0.0019588246941566467 ], [ 0.020087916404008865, 0.021415455266833305, 0.034454040229320526, 0.02654510922729969, 0.19677750766277313, 0.020988691598176956, 0.0016871835105121136 ] ] }, { "q_id": "8382_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2882689833641052, 0.028278807178139687, 0.07036305963993073, 0.14196936786174774, 0.39709267020225525, 0.011663312092423439, 0.1195768266916275, 0.2838374376296997, 0.0027155831921845675, 0.3759237229824066, 0.9876170754432678 ], [ 0.04075159132480621, 0.326911985874176, 0.37053921818733215, 0.3016034662723541, 0.34470662474632263, 0.27263233065605164, 0.18060334026813507, 0.08899196982383728, 0.6964382529258728, 0.9385814070701599, 0.5762791633605957, 0.11297577619552612, 0.08453112095594406, 0.23247729241847992, 0.3999095857143402, 0.9783360958099365 ], [ 0.041854459792375565, 0.06630650162696838, 0.2273416668176651, 0.15485866367816925, 0.14512836933135986, 0.17213502526283264, 0.10317805409431458, 0.12490012496709824, 0.2263375222682953, 0.16054844856262207, 0.9732648730278015, 0.9912840127944946 ], [ 0.2996842861175537, 0.004948828835040331, 0.07778226584196091, 0.12275505810976028, 0.04959053173661232, 0.9412537813186646, 0.9906355738639832 ], [ 0.036790717393159866, 0.3176873028278351, 0.43616461753845215, 0.15777811408042908, 0.10257601737976074, 0.1713872104883194, 0.16660666465759277, 0.12637028098106384, 0.06642714142799377, 0.15902435779571533, 0.6986916661262512, 0.36358463764190674, 0.19427308440208435, 0.07063011080026627, 0.00229932670481503 ], [ 0.0504315122961998, 0.0781317874789238, 0.1826041042804718, 0.10811131447553635, 0.12250763922929764, 0.10756636410951614, 0.1037307158112526, 0.1911506950855255, 0.9932504892349243, 0.9976702332496643 ], [ 0.04865533486008644, 0.12466608732938766, 0.711888313293457, 0.9714906215667725 ], [ 0.05838892236351967, 0.2619062662124634, 0.2990308105945587, 0.15319067239761353, 0.23335383832454681, 0.18765097856521606, 0.18335388600826263, 0.11724089086055756, 0.24327488243579865, 0.9782163500785828 ], [ 0.050431329756975174, 0.07063984125852585, 0.17879633605480194, 0.3721015751361847, 0.24588236212730408, 0.24078473448753357, 0.18842998147010803, 0.22280417382717133, 0.6743495464324951, 0.780569851398468, 0.9908847212791443 ], [ 0.036790478974580765, 0.0864097848534584, 0.21060752868652344, 0.13353511691093445, 0.18039174377918243, 0.1736634224653244, 0.09559888392686844, 0.11162512004375458, 0.22088274359703064, 0.3694380223751068, 0.9808635711669922 ], [ 0.053888991475105286, 0.08974920958280563, 0.11298292875289917, 0.03231874480843544 ], [ 0.09814523905515671, 0.051854051649570465, 0.19627080857753754, 0.17180652916431427, 0.09439899772405624, 0.15404388308525085, 0.13493524491786957, 0.06685842573642731, 0.1801208257675171, 0.7287153601646423, 0.9865685701370239 ], [ 0.06402181833982468, 0.11464852094650269, 0.29766130447387695, 0.8243200182914734, 0.9839507341384888, 0.9950141310691833 ], [ 0.03372731804847717, 0.08947324007749557, 0.19770845770835876, 0.15777121484279633, 0.21379093825817108, 0.19889605045318604, 0.10819102078676224, 0.11690029501914978, 0.9159950017929077, 0.2365751415491104, 0.9818350076675415 ], [ 0.07419447600841522, 0.09240593761205673, 0.22386151552200317, 0.17254459857940674, 0.18108464777469635, 0.13287433981895447, 0.07795853167772293, 0.16018915176391602, 0.12064247578382492, 0.9453592300415039, 0.02235790714621544, 0.037566717714071274, 0.04291515424847603, 0.029760755598545074 ] ] }, { "q_id": "7738_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.1083826944231987, 0.027001971378922462, 0.052966393530368805, 0.048370957374572754, 0.028149986639618874 ], [ 0.10467074811458588, 0.06467778235673904, 0.038985032588243484, 0.017213253304362297 ], [ 0.059456903487443924, 0.12566892802715302, 0.0406564325094223, 0.13196857273578644, 0.09201955795288086, 0.03848776966333389, 0.04791134223341942, 0.06035711243748665, 0.0557880625128746, 0.022011471912264824, 0.013562710024416447 ], [ 0.2187299281358719, 0.04460085183382034, 0.08554795384407043, 0.12064076215028763, 0.10405073314905167, 0.05454345420002937 ], [ 0.014305501244962215, 0.007797945290803909, 0.18391990661621094, 0.10738888382911682, 0.14361388981342316, 0.23058415949344635, 0.16061338782310486, 0.059849292039871216, 0.07678169757127762, 0.0011518646497279406, 0.07388558238744736, 0.12473344057798386, 0.35884273052215576, 0.050657808780670166 ], [ 0.17035144567489624, 0.0725136548280716, 0.04594773054122925, 0.03558356687426567, 0.016866398975253105 ], [ 0.03316633775830269, 0.3633378744125366, 0.07129776477813721, 0.08661776036024094, 0.07482147961854935, 0.058043934404850006, 0.02060800790786743 ], [ 0.16310779750347137, 0.004804451484233141, 0.20184899866580963, 0.18844960629940033, 0.047311726957559586 ], [ 0.014017644338309765, 0.09500862658023834, 0.04174298793077469, 0.06305591762065887, 0.07936692982912064, 0.05820518359541893, 0.03508739173412323, 0.017549065873026848 ], [ 0.03836110979318619, 0.052275244146585464, 0.03185025230050087, 0.05388804152607918, 0.05172191187739372, 0.026674991473555565 ], [ 0.03134094178676605, 0.018667755648493767 ], [ 0.21543575823307037, 0.17791366577148438, 0.1427588015794754, 0.06945262849330902, 0.08698595315217972, 0.1750851422548294, 0.395683616399765, 0.04940497875213623 ], [ 0.16391684114933014, 0.17515559494495392, 0.12491164356470108, 0.0007838021265342832, 0.05854392796754837, 0.015843132510781288, 0.022897575050592422, 0.040268123149871826, 0.04211807623505592, 0.035646576434373856, 0.04274271801114082, 0.02223663590848446 ], [ 0.04129727929830551, 0.09109676629304886, 0.07848335057497025, 0.030391966924071312 ], [ 0.017858225852251053, 0.020501766353845596, 0.1946004331111908, 0.01620628498494625, 0.21549952030181885, 0.1352832317352295, 0.07319346815347672, 0.13658973574638367, 0.14202894270420074, 0.2863629162311554, 0.045616719871759415 ], [ 0.08606735616922379, 0.03394552692770958, 0.02473810687661171, 0.04563175514340401, 0.05648086220026016, 0.04174913465976715 ] ] }, { "q_id": "7860_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6349861025810242, 0.7953634858131409, 0.02484036609530449, 0.0031905719079077244 ], [ 0.30279287695884705, 0.10893259197473526, 0.03185499086976051, 0.09095103293657303, 0.02474953420460224, 0.0064737191423773766, 0.005686837714165449, 0.004971296992152929 ], [ 0.4396188259124756, 0.03816694766283035, 0.4067998230457306, 0.06273608654737473, 0.8083811402320862, 0.03473618999123573, 0.17357125878334045, 0.03113636188209057, 0.9260676503181458, 0.9860088229179382 ], [ 0.14544345438480377, 0.0030992506071925163, 0.0039563956670463085 ], [ 0.857341468334198, 0.9338104724884033 ], [ 0.19907274842262268, 0.3523007035255432, 0.08156153559684753, 0.8041229248046875, 0.1322321742773056, 0.08791256695985794, 0.0325576476752758, 0.010770236141979694, 0.004905817564576864 ], [ 0.2559785842895508, 0.7879453301429749, 0.009217070415616035, 0.005017421208322048 ], [ 0.8429498076438904, 0.005332228261977434, 0.0036293265875428915 ], [ 0.003180987900123 ], [ 0.2773125171661377, 0.8777488470077515, 0.006089674774557352, 0.003691477933898568 ], [ 0.09412667900323868, 0.23039564490318298, 0.6665753126144409, 0.005548801273107529, 0.0033706659451127052 ], [ 0.005274479277431965, 0.003268294269219041 ], [ 0.6128466129302979, 0.007241345476359129, 0.004699619021266699 ], [ 0.2613794505596161, 0.4970737099647522, 0.8275414109230042, 0.14517445862293243, 0.009295651689171791, 0.005599910859018564 ], [ 0.8163594603538513, 0.15710200369358063, 0.006950456649065018, 0.0013093912275508046 ], [ 0.796201765537262, 0.0036900381091982126, 0.0025007009971886873 ] ] }, { "q_id": "7799_mmlu_math", "cot_ids": [ 0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.030602650716900826, 0.4592895209789276, 0.04419649764895439, 0.297961562871933, 0.10802941024303436, 0.08024913817644119, 0.5524529218673706, 0.9769958853721619, 0.9914183616638184 ], [ 0.010105866938829422, 0.23495511710643768, 0.15094760060310364, 0.5217201113700867, 0.0663098394870758, 0.5159614682197571, 0.2527886927127838, 0.043354783207178116 ], [ 0.034191884100437164, 0.09588278084993362, 0.04288097098469734, 0.2766818404197693, 0.7662508487701416 ], [ 0.019776679575443268, 0.1262134462594986, 0.1147608608007431, 0.8952261209487915, 0.9682166576385498 ], [ 0.04110021889209747, 0.00012171993148513138, 0.10346709936857224, 0.0017319031758233905, 0.04708972945809364, 0.018770955502986908, 0.23023554682731628, 0.061445076018571854, 0.037655316293239594, 0.018965452909469604, 0.08167044073343277, 0.05472134053707123, 0.8528967499732971, 0.5330734252929688 ], [ 0.004442381672561169, 0.02868736907839775, 0.07047320902347565, 0.019897449761629105, 0.310494989156723, 0.09030105173587799, 0.16561459004878998, 0.07303490489721298, 0.11895298212766647, 0.04526401311159134, 0.05743886157870293 ], [ 0.03746284916996956, 0.10705899447202682, 0.07731008529663086, 0.04474571719765663, 0.4673639237880707, 0.9409222602844238, 0.9293126463890076 ], [ 0.029713494703173637, 0.000218514003790915, 0.13475552201271057, 0.11176761239767075, 0.06223000958561897, 0.0787307396531105, 0.07253283262252808, 0.08831316232681274, 0.11758463829755783, 0.11664993315935135, 0.07275129854679108, 0.04568702355027199, 0.03537605330348015, 0.09515169262886047, 0.00914853997528553, 0.11080794781446457, 0.11061874032020569, 0.11958485096693039, 0.06310198456048965, 0.11796525120735168, 0.12334664911031723, 0.14791378378868103, 0.03449816256761551 ], [ 0.00038642960134893656, 0.005507476627826691, 0.021068813279271126, 0.015404685400426388, 0.06117375195026398, 0.04109247401356697, 0.1515762358903885, 0.32412078976631165, 0.004201894626021385, 0.3106619119644165, 0.46251338720321655, 0.37966156005859375, 0.4655495285987854, 0.3001278340816498, 0.1272812783718109, 0.04985731840133667, 0.7501209378242493, 0.3358133137226105, 0.9444382190704346, 0.8401307463645935 ], [ 0.01188061386346817, 0.046434108167886734, 0.10868386924266815, 0.150430828332901, 0.1374748945236206, 0.36948081851005554, 0.11461110413074493, 0.915718138217926, 0.22755573689937592, 0.9932396411895752 ], [ 0.0004961944068782032, 0.19701676070690155, 0.22313900291919708, 6.269507139222696e-05, 0.1715155690908432, 0.001553619047626853, 0.5677117109298706, 0.01610124297440052, 0.05365798622369766, 0.03966600447893143, 0.07681205868721008, 0.039882808923721313 ], [ 0.03930787742137909, 0.3180679976940155, 0.2032083123922348, 0.0547860749065876 ], [ 0.03612959384918213, 0.06214020773768425, 0.09898654371500015, 0.034918706864118576, 0.11564872413873672, 0.39959630370140076, 0.12398841232061386, 0.08891616761684418, 0.052864208817481995, 0.0747748538851738, 0.020571071654558182, 0.09147194027900696, 0.12384507805109024, 0.9652194976806641, 0.9723508358001709 ], [ 0.036541327834129333, 0.04944803565740585, 0.11515683680772781, 0.04811571538448334, 0.29652294516563416, 0.13695791363716125, 0.9683409333229065, 0.9928955435752869 ], [ 0.19747121632099152, 0.05689502879977226, 0.3943752944469452, 0.10897549986839294, 0.056775737553834915, 0.18872657418251038, 0.23436029255390167, 0.31112968921661377, 0.14918364584445953, 0.04188773036003113 ] ] }, { "q_id": "8085_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4306480288505554, 0.2059362530708313, 0.0884285718202591, 0.04337017238140106, 0.12827976047992706, 0.15775251388549805, 0.0610995776951313, 0.12559056282043457, 0.07462869584560394, 0.08845405280590057, 0.0211963914334774 ], [ 0.07444727420806885, 0.09031257033348083, 0.09429901093244553, 0.081568643450737, 0.08408430218696594, 0.0028233593329787254 ], [ 0.2435535341501236, 0.15841425955295563, 0.17122921347618103, 0.18896718323230743, 0.06501127779483795, 0.14733216166496277, 0.09312660992145538, 0.16546428203582764, 0.16908246278762817, 0.07136069238185883, 0.15328006446361542, 0.2170173078775406, 0.11832204461097717, 0.04544125124812126 ], [ 0.28483906388282776, 0.24752068519592285, 0.22246648371219635, 0.2282022088766098, 0.18018463253974915, 0.7825109958648682, 0.07365825772285461 ], [ 0.28652462363243103, 0.06566264480352402, 0.11370938271284103, 0.12237836420536041, 0.14370568096637726, 0.23829148709774017, 0.25076180696487427, 0.09241897612810135, 0.22940637171268463, 0.9197249412536621, 0.03583427146077156 ], [ 0.27797824144363403, 0.2249932885169983, 0.18456189334392548, 0.43303459882736206, 0.9738733172416687, 0.7548657655715942 ], [ 0.2225787490606308, 0.25696006417274475, 0.3125908672809601, 0.027929700911045074, 0.12309813499450684, 0.1389518827199936, 0.07700319588184357, 0.08624763786792755, 0.17431238293647766, 0.18721842765808105, 0.04071876034140587, 0.1068425253033638, 0.4882102608680725, 0.1457345187664032, 0.022815994918346405 ], [ 0.34323713183403015, 0.31082019209861755, 0.43850457668304443, 0.23618188500404358, 0.02446737140417099, 0.19246183335781097, 0.36104482412338257, 0.07837926596403122, 0.1703905612230301, 0.052017129957675934, 0.7407243847846985, 0.29955172538757324 ], [ 0.3005707561969757, 0.10637383908033371, 0.05506696179509163, 0.10819434374570847, 0.15350227057933807, 0.033366523683071136, 0.0012052090605720878 ], [ 0.26838481426239014, 0.07439485937356949, 0.08936779201030731, 0.16094247996807098, 0.4185434877872467, 0.28771474957466125, 0.23366674780845642, 0.040790751576423645 ], [ 0.42032408714294434, 0.18045800924301147, 0.17772744596004486, 0.77276211977005, 0.9332518577575684, 0.04280218482017517 ], [ 0.19849826395511627, 0.6491031646728516, 0.14901980757713318 ], [ 0.20504790544509888, 0.17920012772083282, 0.17511136829853058, 0.17851850390434265, 0.06909354031085968, 0.020136285573244095 ], [ 0.4140776991844177, 0.06291107088327408, 0.16767622530460358, 0.082469642162323, 0.06132034957408905, 0.22020477056503296, 0.12350631505250931, 0.10991151630878448, 0.11286070197820663, 0.1976616233587265, 0.05200386792421341 ], [ 0.282784104347229, 0.026003995910286903, 0.08775737881660461, 0.1577846258878708, 0.008827779442071915, 0.09105042368173599, 0.19972868263721466, 0.036900799721479416, 0.13499191403388977, 0.2235928773880005, 0.03791056200861931, 0.11893019080162048, 0.015824733301997185, 0.09294361621141434, 0.06779421865940094, 0.27188727259635925, 0.05801093578338623 ], [ 0.25666600465774536, 0.6438062191009521, 0.0777381882071495 ] ] }, { "q_id": "8637_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.18290941417217255, 0.027933817356824875, 0.9946635961532593, 0.999840259552002 ], [ 0.1298317015171051, 0.17656336724758148, 0.4804113209247589, 0.44540444016456604, 0.09335446357727051, 0.14692072570323944, 0.0022623473778367043, 0.0004009511321783066 ], [ 0.8867008090019226, 0.03983525559306145, 0.1098811998963356, 0.6138319373130798, 0.10584863275289536, 0.13437801599502563, 0.15176066756248474, 0.0981239601969719, 0.2871875464916229, 0.0027551897801458836, 0.0004339134902693331 ], [ 0.11541660130023956, 0.28364425897598267, 0.3089313507080078, 0.19021488726139069, 0.14241693913936615, 0.0036415448412299156, 0.006954631302505732, 0.000614700373262167 ], [ 0.04752165079116821, 0.0801672413945198, 0.12506113946437836, 0.1054939478635788, 0.32191595435142517, 0.31668463349342346, 0.16000111401081085, 0.08636876195669174, 0.00034661259269341826, 0.0019274830119684339, 0.0004412691341713071 ], [ 0.3871421813964844, 0.19918322563171387, 0.2656937539577484, 0.17617830634117126, 0.0025279184337705374, 0.00044085411354899406 ], [ 0.3321930766105652, 0.03822026401758194, 0.16860254108905792, 0.11375036835670471, 0.10049594193696976, 0.003185786074027419, 0.0005069513572379947 ], [ 0.13693785667419434, 0.19349414110183716, 0.00037584162782877684 ], [ 0.4438236951828003, 0.0892450138926506, 0.019574668258428574, 0.16695429384708405, 0.14374934136867523, 0.092575803399086, 0.1100909635424614, 0.002600200707092881, 0.006197347305715084, 0.006654009222984314, 0.000476156739750877 ], [ 0.5437867045402527, 0.08805332332849503, 0.24934333562850952, 0.0181274451315403, 0.23056469857692719, 0.9902279376983643, 0.9998540878295898 ], [ 0.34269869327545166, 0.06693896651268005, 0.06697611510753632, 0.1089620292186737, 0.015602602623403072, 0.1175752505660057, 0.10718090832233429, 0.10430639982223511, 0.2332341969013214, 0.126973956823349, 0.014626676216721535, 0.002193961525335908, 0.0005929178441874683 ], [ 0.09104692190885544, 0.07624249160289764, 0.10179556906223297, 0.0023692497052252293, 0.0005027055740356445 ], [ 0.2616577446460724, 0.21937237679958344, 0.31061074137687683, 0.0016414570854976773, 0.001998787047341466, 0.0006791176274418831 ], [ 0.22587670385837555, 0.16938459873199463, 0.17133337259292603, 0.6761283874511719, 0.22591257095336914, 0.11714117228984833, 0.2624512016773224, 0.11677601933479309, 0.008226269856095314, 0.0054339016787707806, 0.02720593474805355, 0.02454346790909767, 0.044844046235084534, 0.04470525681972504, 0.03012130968272686, 0.08191260695457458, 0.0007689489284530282, 0.03291171416640282, 0.012510901317000389, 0.010623287409543991, 0.011741113848984241, 0.020471641793847084, 0.029783150181174278, 0.019837522879242897, 0.016714589670300484, 0.14505651593208313, 0.12538960576057434, 0.08592243492603302, 0.008497994393110275, 0.007804004941135645, 0.0016997043276205659 ], [ 0.1556013971567154, 0.009246064350008965, 0.2845174968242645, 0.003556562587618828, 0.0006152578280307353 ], [ 0.3144395053386688, 0.24510397017002106, 0.12809287011623383, 0.07523632794618607, 0.002559226006269455, 0.00034324469743296504 ] ] }, { "q_id": "8581_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4497486352920532, 0.0678345263004303, 0.06280957907438278 ], [ 0.1634577065706253, 0.623733401298523, 0.032128188759088516, 0.23364298045635223, 0.017139043658971786, 0.3156132102012634, 0.013018786907196045, 0.06081957742571831, 0.06712552905082703 ], [ 0.2278074473142624, 0.15742935240268707, 0.07481182366609573, 0.06225227192044258 ], [ 0.4563896656036377, 0.6823492646217346, 0.29056236147880554, 0.22004735469818115, 0.09885042905807495, 0.10755738615989685 ], [ 0.4460485875606537, 0.47457730770111084, 0.0627657026052475, 0.2124313861131668, 0.09489799290895462, 0.058155253529548645, 0.03960598260164261 ], [ 0.643546462059021, 0.1795232594013214, 0.05161464959383011, 0.04139907658100128 ], [ 0.5958807468414307, 0.0465293750166893, 0.038606930524110794, 0.01914633810520172, 0.029950782656669617 ], [ 0.03972064331173897, 0.031742606312036514 ], [ 0.8157053589820862, 0.494418740272522, 0.00222377828322351 ], [ 0.5102026462554932, 0.0407165065407753, 0.03505392372608185 ], [ 0.24381347000598907, 0.6803851127624512, 0.07039999216794968, 0.05048824101686478 ], [ 0.05437163636088371, 0.04467891901731491 ], [ 0.6451773643493652, 0.6788658499717712, 0.03621712699532509, 0.26480260491371155, 0.042164772748947144, 0.44353732466697693, 0.04833497107028961, 0.10316604375839233, 0.12003263086080551 ], [ 0.24381329119205475, 0.7862881422042847, 0.2807224690914154, 0.05742233619093895, 0.03776198625564575 ], [ 0.2275201976299286, 0.0766177549958229, 0.05153133347630501 ], [ 0.14486490190029144, 0.12310714274644852, 0.7149432301521301, 0.03012622520327568, 0.06596572697162628, 0.26584064960479736, 0.20192138850688934, 0.051103103905916214, 0.04262826219201088 ] ] }, { "q_id": "8890_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6704815626144409, 0.4711153507232666, 0.31585580110549927, 0.8421490788459778, 0.029586048796772957 ], [ 0.8280704021453857, 0.37730515003204346, 0.1266442984342575, 0.5408161282539368, 0.12939037382602692, 0.9963661432266235, 0.9955942034721375 ], [ 0.6265977025032043, 0.41661036014556885, 0.0796254575252533, 0.38461336493492126, 0.068650022149086, 0.042714498937129974, 0.23656833171844482, 0.9137810468673706, 0.2988989055156708 ], [ 0.6704837679862976, 0.33539319038391113, 0.4349606931209564, 0.1753098964691162, 0.9965845346450806, 0.9929528832435608 ], [ 0.6078522801399231, 0.5290253162384033, 0.7488241195678711, 0.9955512285232544, 0.9964565634727478 ], [ 0.7235361337661743, 0.23939450085163116, 0.4569302499294281, 0.4766343832015991, 0.47884276509284973, 0.15833823382854462, 0.9951769113540649, 0.99411940574646 ], [ 0.7661023736000061, 0.3351268470287323, 0.8743262887001038, 0.970119297504425 ], [ 0.5996975898742676, 0.23202043771743774, 0.5292290449142456, 0.9977160692214966, 0.9953321814537048 ], [ 0.8375226855278015, 0.4507969617843628, 0.43286144733428955, 0.46873006224632263, 0.31596678495407104, 0.9967710375785828, 0.996743381023407 ], [ 0.7474279403686523, 0.45597103238105774, 0.2184116244316101, 0.7061387896537781, 0.9938011765480042, 0.9764971733093262 ], [ 0.6704835891723633, 0.5294079780578613, 0.4268896281719208, 0.9981591105461121, 0.9974809288978577 ], [ 0.6758208870887756, 0.9981499910354614, 0.9978691339492798 ], [ 0.6327717304229736, 0.16726303100585938, 0.6451377868652344, 0.5117530822753906, 0.701939582824707, 0.5245806574821472, 0.5871698260307312, 0.9984075427055359, 0.997197151184082 ], [ 0.7799873352050781, 0.370598167181015, 0.7204969525337219, 0.8666558265686035, 0.9986076951026917, 0.996716320514679 ], [ 0.7408769130706787, 0.8232684135437012, 0.0037571373395621777 ], [ 0.9458834528923035, 0.9976800084114075, 0.9618210792541504 ] ] }, { "q_id": "8303_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15 ], "rewards": [ [ 0.6443564295768738, 0.019687462598085403, 0.005104022566229105 ], [ 0.034752119332551956, 0.04426535591483116, 0.05028238147497177, 0.07119090855121613, 0.04471159353852272, 0.09897264838218689, 0.09420126676559448, 0.13216868042945862, 0.1309821605682373, 0.14263173937797546, 0.12593767046928406, 0.13212460279464722, 0.07775011658668518, 0.07366444170475006, 0.048806484788656235, 0.01467209029942751, 0.0028578315395861864, 0.06394405663013458, 0.059120409190654755, 0.046355877071619034, 0.07348188012838364 ], [ 0.018161900341510773, 0.021939493715763092, 0.023201029747724533, 0.04133925214409828, 0.029193207621574402, 0.10743290185928345, 0.0008425298728980124, 0.0017198265995830297, 0.056375522166490555, 0.027025923132896423, 0.008947704918682575, 0.06717469543218613, 0.08066663146018982, 2.6813380827661604e-05, 0.0586947537958622, 0.08688149601221085, 0.10884949564933777, 0.0046035065315663815 ], [ 0.03509354591369629, 0.050227392464876175, 0.054290756583213806, 0.03815572336316109, 0.016814010217785835, 0.029596302658319473, 0.004765881225466728 ], [ 0.15977232158184052, 0.32325857877731323, 0.028624070808291435, 0.0077390046790242195 ], [ 0.6101493835449219, 0.04441208392381668, 0.013548282906413078 ], [ 0.03752961754798889, 0.026547696441411972, 0.032186854630708694, 0.08558011054992676, 0.07209012657403946, 0.04590251296758652, 0.043355852365493774, 0.045332521200180054, 0.058852337300777435, 0.010254844091832638, 0.0035841679200530052 ], [ 0.02514425478875637, 0.03331664204597473, 0.020296413451433182, 0.04600225016474724, 0.05846717581152916, 0.03659075126051903, 0.08221868425607681, 0.1037587821483612, 0.0727071762084961, 0.3073269724845886, 0.08718106895685196, 0.10962393134832382, 0.12782683968544006, 0.062246426939964294, 0.09590845555067062, 0.08039440214633942, 0.09276828914880753, 0.07946796715259552, 0.0673566535115242, 0.11357192695140839, 0.0674576386809349, 0.0230265986174345, 0.06585752218961716, 0.06653571873903275, 0.010219905525445938, 0.006329611875116825 ], [ 0.019383886829018593, 0.040413565933704376, 0.049694646149873734, 0.04592231661081314, 0.06646713614463806, 0.05801299214363098, 0.022989245131611824, 0.021624621003866196, 0.04583830013871193, 0.040646567940711975, 0.05137436464428902, 0.028164537623524666, 0.030546896159648895, 0.0563277006149292, 0.033953502774238586, 0.059440214186906815, 0.10191456228494644, 0.06910740584135056, 0.050205815583467484, 0.15472747385501862, 0.09612905979156494, 0.07574169337749481, 0.06981801986694336, 0.08272173255681992, 0.0694705992937088, 0.07471121847629547, 0.04602020978927612, 0.03648275509476662, 0.08454843610525131, 0.175026535987854, 0.08634460717439651, 0.09518343210220337, 0.12046335637569427, 0.12317176163196564, 0.08704819530248642, 0.033917609602212906, 0.06091942638158798, 0.05971834063529968, 0.07174611836671829, 0.15818463265895844, 0.09100528806447983, 0.12520790100097656, 0.14337857067584991, 0.15950161218643188, 0.01244400441646576, 0.0035126584116369486 ], [ 0.2638201415538788, 0.16038087010383606, 0.6208066940307617, 0.03367435559630394, 0.02808186784386635, 0.02016891911625862, 0.041531991213560104, 0.03133215755224228 ], [ 0.12760917842388153, 0.00999001506716013, 0.022255858406424522, 0.14341330528259277, 0.03419880196452141, 0.028921471908688545, 0.0781959667801857, 0.07570028305053711, 0.05288883298635483, 0.11211389303207397, 0.01966739445924759, 0.008339799009263515 ], [ 0.04719507321715355, 0.0009196015307679772, 0.13555461168289185, 0.01747702807188034, 0.017550736665725708, 0.00607320899143815, 0.027434153482317924, 0.053627654910087585, 0.07045060396194458, 0.06611569225788116, 0.08907296508550644, 0.182647243142128, 0.2086547166109085, 0.05107134208083153, 0.007308099884539843 ], [ 0.16961416602134705, 0.04172157123684883, 0.10222752392292023, 0.07293298840522766, 0.03369145840406418, 0.036790262907743454, 0.06142110005021095, 0.04022389277815819, 0.03268550708889961, 0.030363086611032486, 0.090253546833992, 0.0324200801551342, 0.017061199992895126, 0.020489685237407684, 0.0400870256125927, 0.09342269599437714, 0.07369718700647354, 0.0638415589928627, 0.0989011898636818, 0.12936142086982727, 0.02181452140212059, 0.005662300158292055 ], [ 0.16997984051704407, 0.09058178961277008, 0.03780508413910866, 0.051022808998823166, 0.054544199258089066, 0.025907224044203758, 0.06344648450613022, 0.05310039967298508, 0.07261686027050018, 0.0643923208117485, 0.01911385916173458, 0.00401455070823431 ] ] }, { "q_id": "8905_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4943974018096924, 0.22227156162261963, 0.6870827078819275, 0.4572463929653168 ], [ 0.19677691161632538, 0.2652623653411865, 0.19865521788597107, 0.07642611861228943 ], [ 0.16939246654510498, 0.31772473454475403, 0.9920680522918701, 0.9807172417640686 ], [ 0.19208519160747528, 0.3174450695514679, 0.7506456971168518, 0.10154759138822556 ], [ 0.5796976089477539, 0.3514353930950165, 0.8394384384155273, 0.49615031480789185 ], [ 0.2370411902666092, 0.527789294719696, 0.7524709701538086, 0.05981249734759331 ], [ 0.1560286581516266, 0.23933562636375427, 0.9234378337860107, 0.5410549640655518 ], [ 0.160993292927742, 0.2967507541179657, 0.5206947922706604, 0.09146999567747116 ], [ 0.12224229425191879, 0.2608056962490082, 0.2840985953807831, 0.9912407994270325, 0.9880252480506897 ], [ 0.18442973494529724, 0.22335076332092285, 0.34501174092292786, 0.22566914558410645, 0.9856758117675781, 0.9824057817459106 ], [ 0.21007896959781647, 0.13658252358436584, 0.26414939761161804, 0.9144375920295715, 0.9529521465301514 ], [ 0.6507142186164856, 0.1631060242652893, 0.8702846169471741, 0.9770839810371399, 0.7620954513549805 ], [ 0.5003759860992432, 0.22196274995803833, 0.027054790407419205 ], [ 0.030746813863515854, 0.9663132429122925, 0.855833888053894 ], [ 0.07789136469364166, 0.03843279927968979, 0.09764715284109116, 0.009776792488992214, 0.05692146718502045, 0.2243375927209854, 0.9785798788070679, 0.4356025755405426 ], [ 0.2729588747024536, 0.052219171077013016, 0.4180181324481964, 0.7191697955131531, 0.9538525938987732, 0.6934213638305664 ] ] }, { "q_id": "8979_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7801129221916199, 0.06130662560462952, 0.07389531284570694, 0.5812141299247742, 0.8159602284431458 ], [ 0.6771658658981323, 0.6698884963989258, 0.7797543406486511, 0.9527591466903687, 0.9472138285636902 ], [ 0.27527886629104614, 0.09678541868925095, 0.31770506501197815, 0.347007155418396 ], [ 0.9677005410194397, 0.9622530937194824, 0.930732786655426 ], [ 0.6317912340164185, 0.08860969543457031, 0.03297721967101097, 0.041985269635915756, 0.03889764845371246, 0.05300252512097359, 0.839064359664917, 0.4980149567127228 ], [ 0.9049772620201111, 0.061175838112831116, 0.07352448999881744, 0.1117236390709877, 0.09924142062664032, 0.09117228537797928, 0.07854000478982925, 0.09621510654687881, 0.9859529733657837, 0.9391155242919922 ], [ 0.6659345626831055, 0.08444348722696304, 0.09360843151807785, 0.46053194999694824, 0.540530264377594, 0.6712961792945862 ], [ 0.5000909566879272, 0.5888872742652893, 0.16817152500152588, 0.6870702505111694 ], [ 0.7664061188697815, 0.4060485363006592, 0.1913747489452362, 0.10128038376569748, 0.04204240068793297, 0.06386979669332504, 0.07279302179813385, 0.06476563960313797, 0.9699563980102539, 0.9012784957885742 ], [ 0.6506024599075317, 0.053518328815698624, 0.7572463154792786, 0.7217028737068176 ], [ 0.5170702338218689, 0.12579749524593353, 0.853691577911377, 0.7997651696205139 ], [ 0.3874795734882355, 0.5490309000015259, 0.059780169278383255, 0.07291410118341446, 0.12666085362434387, 0.2371799796819687 ], [ 0.018503891304135323, 0.0015119072049856186 ], [ 0.4853045344352722, 0.048582784831523895, 0.059383172541856766, 0.07810566574335098, 0.817173421382904, 0.48635852336883545 ], [ 0.6686112284660339, 0.03637036681175232, 0.09299472719430923, 0.03678686544299126, 0.049135200679302216, 0.06516265869140625, 0.07611674815416336, 0.07776180654764175, 0.6262577772140503, 0.5960354804992676, 0.48354920744895935 ], [ 0.3744655251502991, 0.06420241296291351, 0.4584416151046753, 0.669401228427887, 0.7591279149055481 ] ] }, { "q_id": "7766_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3409537076950073, 0.03065347485244274, 0.12389497458934784, 0.056806571781635284, 0.03307545185089111, 0.07535329461097717, 0.0808977410197258, 0.08342177420854568, 0.09720117598772049, 0.21554377675056458, 0.0795467272400856, 0.05797811225056648, 0.020433707162737846 ], [ 0.1501929610967636, 0.01640026457607746, 0.03795211389660835, 0.014873169362545013, 0.0961679220199585, 0.017383873462677002, 0.07488974928855896, 0.026931514963507652, 0.4951193928718567, 0.0494486428797245, 0.3612896203994751, 0.8910033702850342, 0.7220402359962463 ], [ 0.05709002912044525, 0.06953630596399307, 0.04733753949403763, 0.23207560181617737, 0.21878458559513092, 0.08244170993566513, 0.0705094262957573 ], [ 0.11350766569375992, 0.025959478691220284, 0.37551814317703247, 0.05001408979296684, 0.3565169870853424, 0.034550439566373825, 0.0365501269698143, 0.021240759640932083, 0.026300836354494095 ], [ 0.3406669497489929, 0.04347369447350502, 0.04545866698026657, 0.045639872550964355, 0.06467287242412567, 0.05648317188024521, 0.04418877884745598, 0.1769997775554657, 0.08004282414913177, 0.0711791142821312, 0.1372634470462799, 0.03992574289441109, 0.017189674079418182, 0.04652800038456917, 0.0841805636882782, 0.07326845824718475, 0.07776318490505219, 0.07438910752534866, 0.029160847887396812, 0.008389212191104889, 0.11622631549835205, 0.07689666748046875, 0.0806405320763588, 0.08771615475416183, 0.14741447567939758, 0.04706837981939316, 0.07869753986597061, 0.053775373846292496, 0.03427483141422272, 0.011136113665997982, 0.06353499740362167, 0.09343783557415009, 0.011215535923838615, 0.018230553716421127, 0.0567232146859169, 0.009027025662362576, 0.01005939394235611, 0.19863471388816833, 0.055087484419345856, 0.2368469536304474, 0.04830807074904442, 0.02226347289979458 ], [ 0.10173410922288895, 0.23044002056121826, 0.05065131187438965 ], [ 0.031489722430706024, 0.23219841718673706, 0.18526051938533783, 0.08691282570362091, 0.24206475913524628, 0.0056367795914411545, 0.036948174238204956, 0.024594128131866455, 0.11889006942510605, 0.25422409176826477, 0.12070425599813461, 0.1502612978219986, 0.025795381516218185 ], [ 0.08847016841173172, 0.03756968304514885, 0.05134221166372299, 0.059765588492155075, 0.07005111128091812, 0.07042219489812851, 0.0342278890311718 ], [ 0.1839180588722229, 0.11047934740781784, 0.10510890185832977, 0.11947789788246155, 0.013591710478067398, 0.10317805409431458, 0.04251256585121155, 0.05078304186463356 ], [ 0.05049386993050575, 0.07348110526800156, 0.10126792639493942, 0.15243187546730042, 0.0013155757915228605, 0.08017870783805847, 0.09316064417362213, 0.07697957009077072, 0.0651114284992218 ], [ 0.08085566759109497, 0.0878014788031578, 0.08396095782518387, 0.13712482154369354, 0.09325462579727173, 0.08838816732168198, 0.1816764920949936, 0.07003702968358994, 0.08545862138271332, 0.0691254734992981, 0.1044255718588829, 0.166715607047081, 0.04573136195540428 ], [ 0.22304485738277435, 0.06198684498667717, 0.2798559069633484, 0.1466960459947586, 0.02726105973124504, 0.11897022277116776, 0.030165821313858032, 0.12957532703876495, 0.08841445297002792, 0.018421506509184837, 0.08063908666372299, 0.030718037858605385 ], [ 0.1381281167268753, 0.052666038274765015, 0.01946689374744892, 0.10156994313001633, 0.18289873003959656, 0.06615185737609863, 0.09570208191871643, 0.03749449923634529, 0.05554920434951782, 0.07075363397598267, 0.0655139908194542, 0.08151696622371674, 0.19332347810268402, 0.16905412077903748, 0.13403764367103577, 0.08095508813858032, 0.0828232392668724, 0.06700821220874786 ], [ 0.3394278287887573, 0.0874817743897438, 0.10083936154842377, 0.1476978063583374, 0.06650308519601822, 0.08893446624279022, 0.08975712209939957, 0.14281143248081207, 0.0601501539349556 ], [ 0.16918057203292847, 0.045083656907081604, 0.009326436556875706, 0.062473855912685394, 0.11060003191232681, 0.07384301722049713, 0.0921332836151123, 0.11943291127681732, 0.08949792385101318, 0.0283674243837595, 0.0528840534389019, 0.09438261389732361, 0.06278134882450104, 0.17394264042377472, 0.15900857746601105, 0.09413469582796097, 0.1877361685037613, 0.08025026321411133, 0.13742436468601227, 0.08714346587657928, 0.0877031460404396, 0.16694825887680054, 0.10533921420574188, 0.07329011708498001, 0.1099923849105835, 0.2770499587059021, 0.12907774746418, 0.05369798094034195 ], [ 0.049724824726581573, 0.024192938581109047, 0.04069695249199867, 0.1174996867775917, 0.1032855361700058, 0.4099377989768982, 0.1982538253068924, 0.01685665361583233 ] ] }, { "q_id": "8239_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.486405611038208, 0.18718954920768738, 0.21902962028980255, 0.42584046721458435, 0.994996190071106, 0.9975402355194092 ], [ 0.3938794434070587, 0.1358487755060196, 0.07231304794549942, 0.06176193803548813, 0.9950621724128723, 0.9980515241622925 ], [ 0.9218951463699341, 0.1445447951555252, 0.24804256856441498, 0.9966089725494385, 0.9983804225921631 ], [ 0.7809301614761353, 0.3024432063102722, 0.11441908776760101, 0.2580476403236389, 0.9990647435188293, 0.9988387227058411 ], [ 0.8261978030204773, 0.2875489592552185, 0.9986740350723267, 0.9988101720809937 ], [ 0.5821458697319031, 0.9971502423286438, 0.9972022771835327 ], [ 0.7021574378013611, 0.13796694576740265, 0.29500335454940796, 0.9990192651748657, 0.9985526204109192 ], [ 0.6525667905807495, 0.5884335041046143, 0.31373339891433716, 0.2435004711151123, 0.3117690980434418, 0.9976081848144531, 0.9985264539718628 ], [ 0.6744475960731506, 0.6116496324539185, 0.27445903420448303, 0.16988560557365417, 0.9986560344696045, 0.9985538125038147 ], [ 0.28138381242752075, 0.9986572265625, 0.9985234141349792 ], [ 0.5937896370887756, 0.5637553930282593, 0.28355562686920166, 0.3965986669063568, 0.9984613656997681, 0.9978377223014832 ], [ 0.8150213360786438, 0.45011085271835327, 0.07688174396753311, 0.2024470418691635, 0.13348977267742157, 0.17768362164497375, 0.05490865185856819, 0.18935298919677734, 4.443203579285182e-05, 0.9978920817375183, 0.9990620017051697 ], [ 0.8801426887512207, 0.07377331703901291, 0.24153639376163483, 0.1312161535024643, 0.2055804580450058, 0.06961478292942047, 0.16990289092063904, 2.1758047296316363e-05, 0.9987157583236694, 0.9993409514427185 ], [ 0.8885573744773865, 0.11842915415763855, 0.4028901159763336, 0.9987757802009583, 0.998619794845581 ], [ 0.8253142833709717, 0.3162906765937805, 0.20897085964679718, 0.1938505321741104, 0.9989608526229858, 0.9993164539337158 ], [ 0.9466853141784668, 0.17206639051437378, 0.33311203122138977, 0.09496468305587769, 0.15279176831245422, 0.17642122507095337, 0.013891700655221939, 0.997947633266449, 0.9990370273590088 ] ] }, { "q_id": "8023_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6116244196891785, 0.38941943645477295, 0.12917619943618774, 0.7598495483398438, 0.014965146780014038 ], [ 0.5658969283103943, 0.04309874400496483, 0.6707143187522888, 0.20378735661506653, 0.812926173210144, 0.1672583818435669, 0.9993748068809509, 0.9999239444732666 ], [ 0.9690993428230286, 0.6085335612297058, 0.9981108903884888, 0.9998648166656494 ], [ 0.3090880811214447, 0.6765650510787964, 0.6542027592658997, 0.9992172718048096, 0.999937891960144 ], [ 0.2590228319168091, 0.7853650450706482, 0.9960839748382568, 0.9997784495353699 ], [ 0.6116253137588501, 0.40889692306518555, 0.8036607503890991, 0.9944380521774292, 0.999823272228241 ], [ 0.3178229331970215, 0.1121496856212616, 0.9244064092636108, 0.9991521835327148, 0.9998964071273804 ], [ 0.5661214590072632, 0.9304106831550598, 0.9985207915306091, 0.9998218417167664 ], [ 0.7328387498855591, 0.8077435493469238, 0.9988289475440979, 0.9998387098312378 ], [ 0.5122381448745728, 0.15211808681488037, 0.1691431701183319, 0.9109823703765869, 0.999121367931366, 0.9999188184738159 ], [ 0.565895676612854, 0.31095588207244873, 0.6464126706123352, 0.8467361330986023, 0.9971390962600708, 0.9996602535247803 ], [ 0.4144890308380127, 0.295175164937973, 0.7615325450897217, 0.9991108775138855, 0.9998635053634644 ], [ 0.8864613771438599, 0.7322033643722534, 0.9994637370109558, 0.9999200105667114 ], [ 0.6116263270378113, 0.34957826137542725, 0.7954111695289612, 0.9987408518791199, 0.9998407363891602 ], [ 0.6120368242263794, 0.6078353524208069, 0.685568630695343, 0.9995142221450806, 0.9999133348464966 ], [ 0.7399142980575562, 0.7763829231262207, 0.9986923336982727, 0.9997742772102356 ] ] }, { "q_id": "9027_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3544866442680359, 0.06459932774305344, 0.058809034526348114, 0.1482260823249817, 0.028820063918828964, 0.03776118904352188, 0.10862389951944351, 0.09350164234638214, 0.01878163404762745 ], [ 0.02792704850435257, 0.05614204704761505, 0.12440953403711319, 0.12288575619459152, 0.05259955674409866, 0.008243459276854992 ], [ 0.19405964016914368, 0.03700283169746399, 0.01275577675551176, 0.07910076528787613, 0.09020544588565826, 0.016393955796957016, 0.03487260267138481, 0.03153374791145325, 0.02983260154724121, 0.023476209491491318 ], [ 0.09193667769432068, 0.15346087515354156, 0.08158162236213684, 0.0628528743982315, 0.04548683762550354, 0.02506483905017376, 0.027975862845778465, 0.002282540313899517, 0.08652953803539276, 0.034393180161714554 ], [ 0.06270498782396317, 0.04788350686430931, 0.023052703589200974, 0.08950693160295486, 0.06330645829439163, 0.011560460552573204, 0.09480287879705429, 0.07078351825475693, 0.002580910222604871, 0.14763286709785461, 0.06331641227006912 ], [ 0.10282748937606812, 0.12515681982040405, 0.16857445240020752, 0.013615544885396957, 0.05119059979915619, 0.12247446179389954, 0.03909286856651306, 0.02350541390478611, 0.030579959973692894, 0.031165722757577896, 0.06055963411927223, 0.04511667788028717, 0.06254918873310089, 0.023910177871584892, 0.026647360995411873, 0.0028682355768978596, 0.02498515695333481, 0.04201602190732956, 0.007674214895814657 ], [ 0.09169179946184158, 0.11499077081680298, 0.04951365292072296, 0.08643437176942825, 0.03984030708670616, 0.02520834282040596, 0.024899469688534737, 0.03406873345375061, 0.016395116224884987, 0.8791275024414062 ], [ 0.04954683035612106, 0.1326102465391159, 0.0701708197593689, 0.04791392758488655, 0.27034643292427063, 0.1361691802740097, 0.047026947140693665, 0.05133543163537979, 0.01984965242445469, 0.0047551910392940044 ], [ 0.11607861518859863, 0.06785336881875992, 0.08773760497570038, 0.013121641241014004, 0.11963395029306412, 0.01108718104660511, 0.10276152938604355, 0.01093320269137621, 0.06028486043214798, 0.05292436107993126, 0.023580020293593407, 0.02059006504714489, 0.00662335054948926 ], [ 0.5276488065719604, 0.3712553083896637, 0.0518040657043457, 0.03105294145643711, 0.059649642556905746, 0.10733870416879654, 0.007784679066389799 ], [ 0.12520717084407806, 0.03973378986120224, 0.11246129125356674, 0.03165682405233383, 0.04766753315925598, 0.0874791070818901, 0.005335471127182245 ], [ 0.03588557988405228, 0.05484042316675186, 0.05379347503185272, 0.011389615945518017 ], [ 0.35211488604545593, 0.014727563597261906, 0.02802642434835434, 0.008746814914047718, 0.047457851469516754, 0.0300977174192667, 0.04185478761792183, 0.08001582324504852, 0.09392675012350082, 0.03236152604222298, 0.021898584440350533, 0.05050884187221527, 0.3292255401611328, 0.039157312363386154, 0.036658164113759995, 0.09906032681465149, 0.05720799043774605, 0.2654525637626648, 0.15072596073150635, 0.27148061990737915, 0.06845449656248093, 0.14186254143714905, 0.02034175768494606, 0.10759863257408142, 0.15865342319011688, 0.08708150684833527, 0.03853550925850868, 0.06124269217252731, 0.09405141323804855, 0.1966649442911148, 0.014086801558732986, 0.1140594482421875, 0.017895039170980453, 0.09306525439023972, 0.13824951648712158, 0.2499244660139084, 0.06100647523999214, 0.06843515485525131, 0.010592893697321415, 0.06639603525400162, 0.005764139350503683, 0.06451599299907684, 0.17535167932510376, 0.2209683358669281, 0.025657806545495987, 0.15449580550193787, 0.16896994411945343, 0.21557296812534332, 0.6051644682884216, 0.14772795140743256, 0.764289140701294, 0.4752051532268524 ], [ 0.12408043444156647, 0.12462624907493591, 0.16515550017356873, 0.41663044691085815, 0.04353233054280281, 0.006244075484573841 ], [ 0.5135799646377563, 0.04425671696662903, 0.09435208886861801, 0.1692400872707367, 0.04287869483232498, 0.005549477878957987 ] ] }, { "q_id": "8225_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.35680922865867615, 0.9905503988265991, 0.9962826371192932 ], [ 0.2947016954421997, 0.18118509650230408, 0.9931892156600952, 0.9973004460334778 ], [ 0.33401674032211304, 0.028585001826286316, 0.3073454201221466, 0.2009870707988739, 0.19544363021850586, 0.99480140209198, 0.9992160797119141 ], [ 0.1492157131433487, 0.9878972768783569, 0.996698260307312 ], [ 0.12270931899547577, 0.1613844484090805, 0.06989362835884094, 0.17090560495853424, 0.12840409576892853, 0.23495391011238098, 0.9918628931045532, 0.9982060194015503 ], [ 0.37606409192085266, 0.12049979716539383, 0.2739062011241913, 0.9950234889984131, 0.997962474822998 ], [ 0.6381032466888428, 0.16502010822296143, 0.991157054901123, 0.9974141120910645 ], [ 0.37967291474342346, 0.20528508722782135, 0.21274200081825256, 0.3827786445617676, 0.9961568713188171, 0.9990721940994263, 0.9990643858909607 ], [ 0.42882266640663147, 0.9962149262428284, 0.9982916712760925 ], [ 0.22445371747016907, 0.21391992270946503, 0.991561233997345, 0.9967689514160156 ], [ 0.2059277892112732, 0.16612035036087036, 0.0959726870059967, 0.9888200163841248, 0.9964058995246887 ], [ 0.9966591596603394, 0.9979738593101501 ], [ 0.36664965748786926, 0.9925540089607239, 0.9963635802268982 ], [ 0.2744845151901245, 0.5493943691253662, 0.9961163997650146, 0.9982455968856812 ], [ 0.34588703513145447, 0.17859990894794464, 0.994503378868103, 0.9978214502334595 ], [ 0.3130127787590027, 0.9902322292327881, 0.997515082359314, 0.9977684020996094 ] ] }, { "q_id": "8729_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 15 ], "rewards": [ [ 0.11882553994655609, 0.05925656110048294, 0.00056552974274382, 0.28179290890693665, 0.17659755051136017, 0.05895180627703667, 0.06455450505018234, 0.036132149398326874 ], [ 0.2774173617362976, 0.07197650521993637, 0.1390756517648697, 0.12247605621814728, 0.10665129125118256, 0.0006550498655997217, 0.2521759271621704, 0.09328483045101166, 0.2930621802806854, 0.028751542791724205, 0.25992587208747864, 0.08021505177021027, 0.12810373306274414, 0.05822533741593361, 0.2233007252216339, 0.06529555469751358, 0.036211855709552765 ], [ 0.15528057515621185, 0.12103857100009918, 0.12534433603286743, 0.10727128386497498, 0.1525842547416687, 0.07305304706096649, 0.9659309387207031, 0.9858641028404236 ], [ 0.10384669899940491, 0.07603514194488525, 0.08037353307008743, 0.09416908770799637, 0.1201549768447876, 0.004003389272838831, 0.2843101918697357, 0.008102444000542164, 0.07598447054624557, 0.08121359348297119, 0.12471365928649902, 0.01623627357184887, 0.158315047621727, 0.1154828667640686, 0.04679879918694496, 0.13376900553703308, 0.06519969552755356, 0.128482848405838, 0.12673667073249817, 0.16058363020420074, 0.035191427916288376, 0.1005340963602066, 0.03554608300328255 ], [ 0.18701137602329254, 0.34132206439971924, 0.04180224984884262, 0.20596987009048462, 0.04738730564713478, 0.08894458413124084, 0.031162068247795105, 0.04613393545150757, 0.06975246965885162, 0.043406546115875244, 0.12788425385951996, 0.037568237632513046, 0.055334873497486115, 0.15242072939872742, 0.023800106719136238, 0.06318021565675735, 0.12213984876871109, 0.08717165887355804, 0.09001152962446213, 0.9496155977249146 ], [ 0.11804709583520889, 0.09325160831212997, 0.08211546391248703, 0.12885911762714386, 0.04942893981933594, 0.05589330196380615, 0.05621258541941643, 0.033919643610715866, 0.09441325813531876, 0.12668505311012268, 0.08386627584695816, 0.05711483210325241, 0.04490400850772858 ], [ 0.12330494821071625, 0.08954852819442749, 0.18011215329170227, 0.02367519587278366, 0.1905965805053711, 0.0685996264219284, 0.04677857458591461, 0.004796013701707125, 0.09447284787893295, 0.05134885385632515, 0.051460154354572296, 0.03935403749346733 ], [ 0.20176897943019867, 0.1254270076751709, 0.03163240849971771, 0.6993206143379211, 0.022152401506900787, 0.05798634514212608, 0.14148657023906708, 0.478059321641922, 0.23515838384628296, 0.2360369712114334, 0.014951951801776886, 0.03746485710144043, 0.05313011258840561, 0.0620473176240921, 0.8495641946792603, 0.9543878436088562, 0.9893521666526794 ], [ 0.4536636471748352, 0.11027726531028748, 0.14884580671787262, 0.26913365721702576, 0.0718599185347557, 0.028573056682944298, 0.016786474734544754, 0.013351297937333584, 0.0037357129622250795 ], [ 0.5669658780097961, 0.12874993681907654, 0.08041707426309586, 0.05733954906463623, 0.09389526396989822, 0.060450393706560135, 0.07085135579109192, 0.0657661184668541, 0.035725176334381104, 0.034517426043748856, 0.0325869619846344, 0.07975415140390396, 0.1058146134018898, 0.10601049661636353, 0.07207169383764267, 0.026249011978507042, 0.006567925680428743 ], [ 0.24941056966781616, 0.12423790246248245, 0.059909939765930176, 0.23233097791671753, 0.1569044440984726, 0.9597216248512268, 0.9862667322158813 ], [ 0.34865206480026245, 0.04909994453191757, 0.15814819931983948, 0.024271786212921143, 0.18582525849342346, 0.07111505419015884, 0.05975435674190521, 0.07093364000320435, 0.033789973706007004, 0.029307575896382332, 0.0069390712305903435 ], [ 0.2487732172012329, 0.2761703431606293, 0.053181953728199005, 0.08948575705289841, 0.14218363165855408, 0.06821800768375397, 0.10442259162664413, 0.024667808786034584, 0.12529706954956055, 0.15129518508911133, 0.1747957319021225, 0.1724727302789688, 0.18096525967121124, 0.11505736410617828, 0.04115762934088707 ], [ 0.18818233907222748, 0.007490160409361124, 0.24022448062896729, 0.08114460110664368, 0.044265393167734146, 0.00626428984105587, 0.050102636218070984, 0.023259740322828293, 0.13311053812503815, 0.0019250829936936498 ] ] }, { "q_id": "7740_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6407618522644043, 0.5839449763298035, 0.6725726127624512, 0.2253984659910202, 0.23542992770671844, 0.9983004927635193, 0.9996823072433472 ], [ 0.659208357334137, 0.3760852515697479, 0.35033130645751953, 0.20283211767673492, 0.23599208891391754, 0.9978750944137573, 0.9996887445449829 ], [ 0.8402149081230164, 0.6230505704879761, 0.6448724865913391, 0.565780520439148, 0.7674725651741028, 0.9949514865875244, 0.9995185136795044 ], [ 0.8284235000610352, 0.6563215255737305, 0.9207082390785217, 0.8145257234573364, 0.28374746441841125, 0.37607133388519287, 0.8202905654907227, 0.9926391839981079, 0.9985144734382629 ], [ 0.6076719760894775, 0.11416766047477722, 0.23129107058048248, 0.3133224844932556, 0.18711064755916595, 0.24293366074562073, 0.997546374797821, 0.999671459197998 ], [ 0.5292500853538513, 0.14340218901634216, 0.5303996801376343, 0.6072526574134827, 0.11080174148082733, 0.17252907156944275, 0.9981546998023987, 0.9997783303260803 ], [ 0.6460176110267639, 0.41300567984580994, 0.4126743674278259, 0.21338532865047455, 0.2431149035692215, 0.9985806941986084, 0.9998291730880737 ], [ 0.6418920755386353, 0.832678496837616, 0.7375625967979431, 0.27352380752563477, 0.36980679631233215, 0.9982183575630188, 0.9998160004615784 ], [ 0.016463829204440117, 0.0665801540017128, 0.41081514954566956, 0.3514803946018219, 0.20277875661849976, 0.23815785348415375, 0.9978812336921692, 0.9997974038124084 ], [ 0.580547571182251, 0.9355579018592834, 0.7991411685943604, 0.8530849814414978, 0.9995198249816895, 0.9998968839645386 ], [ 0.6162928342819214, 0.5547677874565125, 0.9456415176391602, 0.9807456731796265, 0.9813257455825806, 0.9609113335609436, 0.9379912614822388, 0.9969117045402527, 0.9996706247329712 ], [ 0.4144335985183716, 0.27524346113204956, 0.3461984395980835, 0.2190445214509964, 0.23536057770252228, 0.9982374906539917, 0.9997842907905579 ], [ 0.6424782872200012, 0.33880355954170227, 0.338500052690506, 0.20678217709064484, 0.2923458516597748, 0.9972547888755798, 0.9996843338012695 ], [ 0.6793249845504761, 0.4429685175418854, 0.4070514142513275, 0.21591627597808838, 0.23940423130989075, 0.9975605010986328, 0.9996495246887207 ], [ 0.29470592737197876, 0.0009620742057450116, 0.6897802352905273, 0.2785058617591858, 0.832936704158783, 0.9964509010314941, 0.9998517036437988 ], [ 0.5865825414657593, 0.6336250305175781, 0.6199946999549866, 0.5571048855781555, 0.7538462281227112, 0.9949826002120972, 0.999603807926178 ] ] }, { "q_id": "9026_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.08781411498785019, 0.03924771025776863, 0.019120655953884125, 0.1405438780784607, 0.06652413308620453, 0.04715316742658615, 0.003536566626280546, 0.08092001080513, 0.06475460529327393, 0.003421016037464142 ], [ 0.8883891105651855, 0.37263616919517517, 0.9867974519729614, 0.823154866695404 ], [ 0.9170021414756775, 0.6946809887886047, 0.9580790996551514, 0.08958316594362259, 0.0025409706868231297 ], [ 0.9723266363143921, 0.9857481122016907, 0.9586576223373413 ], [ 0.4201855957508087, 3.1544535886496305e-05, 0.1401192992925644, 0.22501258552074432, 0.0006802071002312005, 0.20661377906799316, 0.2527543902397156, 0.0020803113002330065, 0.0997064933180809, 0.03241128847002983, 0.09318409115076065, 0.029279934242367744, 0.35682421922683716, 0.8960359692573547, 0.8602374196052551 ], [ 0.981509804725647, 0.9609307050704956, 0.8588323593139648 ], [ 0.14209453761577606, 0.027404271066188812, 0.012977720238268375, 0.08555149286985397, 0.11091261357069016, 0.09881781041622162, 0.07792970538139343, 0.05306542292237282, 0.0974774956703186, 0.11350817233324051, 0.11106500774621964, 0.14855624735355377, 0.07607819885015488, 0.003203145693987608 ], [ 0.4601251780986786, 0.17565618455410004, 0.061728816479444504, 0.06623147428035736, 0.09980669617652893, 0.18804702162742615 ], [ 0.45977529883384705, 0.9790059924125671, 0.4967440664768219 ], [ 0.05941273644566536, 0.09538520872592926, 0.004953865893185139, 0.08503761887550354, 0.08946159482002258, 0.0652189701795578, 0.027177803218364716, 0.023351911455392838, 0.0741785317659378, 0.0006735216593369842, 0.14651373028755188, 0.05564722418785095, 0.8396763205528259, 0.043079689145088196, 0.05214516818523407, 0.0005486340378411114, 0.04655662551522255, 0.0015142766060307622, 0.14173853397369385, 0.03814668208360672, 0.04275176674127579, 0.00031094709993340075, 0.06247922033071518, 0.0031842857133597136, 0.0011417854111641645, 0.10630916804075241, 0.014414268545806408, 0.05308187007904053, 0.018778851255774498, 0.0005011553876101971, 0.04120728373527527, 0.004876220598816872, 0.003198625287041068, 0.07787799090147018, 0.03247937187552452, 0.0006438579875975847, 0.0721195712685585, 0.04390988126397133, 0.006927496287971735, 0.005421484354883432, 0.004040759522467852, 0.003769836388528347 ], [ 0.03425878286361694, 0.055067505687475204, 0.6881188750267029, 0.10919131338596344 ], [ 0.05932781472802162, 0.20041398704051971, 0.9787577986717224, 0.4014893174171448 ], [ 0.9366261959075928, 0.4529475271701813, 0.9163766503334045, 0.5697952508926392 ], [ 0.14954665303230286, 0.8548633456230164, 0.04520227387547493, 0.9632989764213562, 0.9452134966850281 ], [ 0.22633418440818787, 0.9654228091239929, 0.947686493396759 ], [ 0.20306994020938873, 0.9408087134361267, 0.45111843943595886, 0.9892370104789734, 0.9951370358467102, 0.05130740627646446 ] ] }, { "q_id": "9041_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9976890087127686, 0.9997813105583191 ], [ 0.9968876242637634, 0.9997503161430359 ], [ 0.9537820816040039, 0.997579038143158, 0.9998754262924194 ], [ 0.9259194731712341, 0.9918534159660339, 0.9998045563697815 ], [ 0.9863937497138977, 0.9989708662033081, 0.9999138116836548 ], [ 0.8579823970794678, 0.5687720775604248, 0.9991145730018616, 0.9994391798973083, 0.9999301433563232 ], [ 0.9994186162948608, 0.9998669624328613 ], [ 0.9473379254341125, 0.12009067833423615, 0.29906800389289856, 0.6539295315742493, 0.9990696310997009, 0.9998950958251953 ], [ 0.9779946208000183, 0.9018583297729492, 0.9073408246040344, 0.9997168183326721, 0.9999282360076904 ], [ 0.2621893584728241, 0.020584259182214737, 0.5477803349494934, 0.6696799397468567, 0.9995493292808533, 0.999913215637207 ], [ 0.9766138195991516, 0.7517181634902954, 0.8385604023933411, 0.9996998310089111, 0.9999277591705322 ], [ 0.8217068314552307, 0.09808462858200073, 0.008172612637281418, 0.3228417634963989, 0.9404045343399048, 0.9996298551559448, 0.9999364614486694 ], [ 0.9609189033508301, 0.09057550132274628, 0.9993981122970581, 0.9999090433120728 ], [ 0.9993264675140381, 0.9998358488082886 ], [ 0.982552170753479, 0.8090885877609253, 0.9991857409477234, 0.9998812675476074 ], [ 0.9517642259597778, 0.9986664056777954, 0.9999167919158936 ] ] }, { "q_id": "8264_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7844194173812866, 0.17106875777244568, 0.6134948134422302, 0.9984971284866333, 0.9985849857330322 ], [ 0.9810971021652222, 0.08029434829950333, 0.06389940530061722, 0.9782264828681946, 0.9875510334968567 ], [ 0.9909056425094604, 0.0010061018401756883 ], [ 0.9791809320449829, 0.21750985085964203, 0.27846577763557434, 0.9987063407897949, 0.9981443881988525 ], [ 0.9743639230728149, 0.9519158601760864, 0.9882687330245972 ], [ 0.9808813333511353, 0.15151818096637726, 0.12632744014263153, 0.9936258792877197, 0.998241662979126 ], [ 0.9836379289627075, 0.4116496443748474, 0.43086421489715576, 0.9988240599632263, 0.9988032579421997 ], [ 0.9817412495613098, 0.05130826681852341, 0.6930872201919556, 0.9633691310882568 ], [ 0.9826215505599976, 0.15453217923641205, 0.12676078081130981, 0.9940428137779236, 0.9992415904998779, 0.9968653321266174 ], [ 0.9909145832061768, 0.9940741658210754, 0.9962183833122253 ], [ 0.9787901043891907, 0.6264067888259888, 0.1822650134563446, 0.0457465834915638, 0.9920772314071655, 0.999053418636322, 0.9986151456832886 ], [ 0.9826217889785767, 0.07591964304447174, 0.18767759203910828, 0.9920850396156311, 0.9970448613166809 ], [ 0.9648146629333496, 0.8901734352111816, 0.9969168901443481, 0.9972123503684998 ], [ 0.9808813333511353, 0.994507372379303, 0.9971453547477722 ], [ 0.9826217889785767, 0.09412208944559097, 0.05576044321060181, 0.09635758399963379, 0.29326313734054565, 0.9962254762649536, 0.9982962012290955 ], [ 0.9826217889785767, 0.04368586093187332, 0.9888224601745605, 0.9988625049591064, 0.9955636262893677 ] ] }, { "q_id": "8359_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9439992904663086, 0.9415083527565002, 0.4684082865715027, 0.9996939897537231, 0.999940037727356 ], [ 0.943738579750061, 0.7401768565177917, 0.8576774597167969, 0.9996941089630127, 0.99993896484375 ], [ 0.9597768187522888, 0.7527903914451599, 0.7355145215988159, 0.37320205569267273, 0.9995958209037781, 0.9999258518218994 ], [ 0.9735738039016724, 0.9260896444320679, 0.9996030926704407, 0.9999393224716187 ], [ 0.9814990162849426, 0.3104768991470337, 0.999659538269043, 0.9999289512634277 ], [ 0.9663981199264526, 0.800413191318512, 0.42071694135665894, 0.43898600339889526, 0.999627947807312, 0.9997475743293762, 0.9999375343322754 ], [ 0.9437380433082581, 0.7530435919761658, 0.8857723474502563, 0.9996405839920044, 0.9999345541000366 ], [ 0.9600289463996887, 0.8165054321289062, 0.8915477991104126, 0.3285559415817261, 0.9996292591094971, 0.9999325275421143 ], [ 0.9689868092536926, 0.9297001361846924, 0.4914780855178833, 0.9996465444564819, 0.9999368190765381 ], [ 0.941889762878418, 0.6931732296943665, 0.26415422558784485, 0.9994420409202576, 0.9999148845672607 ], [ 0.9244359135627747, 0.9255736470222473, 0.3650911748409271, 0.9993240833282471, 0.999929666519165 ], [ 0.950596034526825, 0.8698756098747253, 0.3708873689174652, 0.9993703961372375, 0.9999313354492188 ], [ 0.9437379240989685, 0.8584133386611938, 0.9995359182357788, 0.9999340772628784 ], [ 0.9584075808525085, 0.9259693026542664, 0.38357117772102356, 0.9997144341468811, 0.9999351501464844 ], [ 0.9584410786628723, 0.8582671880722046, 0.7044417858123779, 0.3158462345600128, 0.9995877146720886, 0.9999245405197144 ], [ 0.935064435005188, 0.8307116627693176, 0.37790313363075256, 0.9995438456535339, 0.9999202489852905 ] ] }, { "q_id": "8482_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.031542789191007614, 0.058035749942064285, 0.0034125663805752993, 0.04958540201187134, 0.44389963150024414, 0.3825790584087372, 0.8303682208061218, 0.9904918074607849 ], [ 0.05965408310294151, 0.19563205540180206, 0.7243680357933044, 0.9860580563545227, 0.9959672689437866 ], [ 0.0617205835878849, 0.03525553271174431, 0.03911745175719261, 0.12076550722122192, 0.07195162773132324, 0.013858623802661896, 0.03326912224292755, 0.0099810641258955 ], [ 0.1836656779050827, 0.026521140709519386, 0.23517125844955444, 0.12298926711082458, 0.004264770075678825 ], [ 0.12927280366420746, 0.198244109749794, 0.8299391269683838, 0.7122724652290344, 0.9959627985954285, 0.9989334940910339 ], [ 0.041236985474824905, 0.37286362051963806, 0.3130585849285126, 0.3992803692817688, 0.05411534011363983, 0.865425705909729, 0.9853235483169556 ], [ 0.027844449505209923, 0.31406843662261963, 0.6742458343505859, 0.41201239824295044, 0.01899421028792858, 0.017591653391718864, 0.5190364718437195, 0.9685824513435364 ], [ 0.12959381937980652, 0.04294681176543236, 0.027315791696310043, 0.06770356744527817, 0.03900179639458656, 0.025563836097717285, 0.20167553424835205, 0.18637841939926147, 0.029582899063825607, 0.014294445514678955 ], [ 0.6011326909065247, 0.962057888507843, 0.9933527708053589 ], [ 0.05089125409722328, 0.08834952861070633, 0.49264150857925415, 0.28665974736213684, 0.9688422083854675, 0.9924860000610352 ], [ 0.012622720561921597, 4.09684689657297e-05, 0.016966387629508972, 0.3346356153488159, 0.5233884453773499, 0.8130471110343933, 0.016624853014945984 ], [ 0.07544664293527603, 0.030933264642953873, 0.00039505743188783526, 0.00799472350627184, 0.39874526858329773, 0.7854260206222534, 0.9804320335388184 ], [ 0.04099064692854881, 0.015581377781927586, 0.0046960716135799885, 0.019678538665175438, 0.04803920164704323, 0.03172571212053299, 0.06216670200228691, 0.05691263824701309, 0.07301460206508636, 0.058222442865371704, 0.01824706792831421 ], [ 0.03760180249810219, 0.5472018122673035, 0.8484287858009338, 0.12282940000295639, 0.970781147480011, 0.9933775067329407 ], [ 0.08819591253995895, 0.010769703425467014, 0.03973890841007233, 0.238536074757576, 0.7190757989883423, 0.4461134076118469, 0.9780253767967224, 0.9944273233413696 ], [ 0.1252649426460266, 0.32458528876304626, 0.8420193791389465, 0.9807184934616089 ] ] }, { "q_id": "8717_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.13935691118240356, 0.0007417574524879456, 0.7094982862472534, 0.7724876999855042, 0.08511323481798172 ], [ 0.11140787601470947, 0.21742260456085205, 0.9881837964057922, 0.19583632051944733 ], [ 0.2574341595172882, 0.04237497225403786, 0.0946202501654625, 0.06415103375911713, 0.9815236926078796, 0.9822960495948792 ], [ 0.13226556777954102, 0.9921454787254333, 0.9932035207748413 ], [ 0.033494733273983, 0.026234950870275497, 0.06233633682131767, 0.046787653118371964, 0.045834019780159, 0.06236409395933151, 0.7709723711013794, 0.9906668066978455 ], [ 0.02126620151102543, 0.009725738316774368, 0.012301851995289326, 0.020305292680859566, 0.023879937827587128, 0.14448437094688416, 0.053022440522909164 ], [ 0.03309113159775734, 0.2507394850254059, 0.11055206507444382, 0.887499988079071, 0.9860963225364685 ], [ 0.2532222270965576, 0.20957227051258087, 0.9591088891029358, 0.9787630438804626 ], [ 0.3262718617916107, 0.04315279796719551, 0.06613212823867798, 0.8966599702835083, 0.9648637175559998 ], [ 0.23561273515224457, 0.059671659022569656, 0.04851340875029564, 0.055476147681474686, 0.03254842758178711, 0.04332611337304115, 0.7775722742080688, 0.1242767721414566 ], [ 0.09203823655843735, 0.048355862498283386, 0.10014307498931885, 0.07286258041858673 ], [ 0.09525170177221298, 0.02827596291899681, 0.9823602437973022, 0.9774306416511536 ], [ 0.3873284161090851, 0.018546441569924355, 0.04605530574917793, 0.2762812077999115, 0.9530285596847534, 0.9691331386566162 ], [ 0.1511162966489792, 0.016684750095009804, 0.017003383487462997, 0.0357603095471859, 0.021312590688467026, 0.052330370992422104, 0.7007675766944885, 0.5107452869415283 ], [ 0.04510881006717682, 0.00018305126286577433, 0.327676922082901, 0.6838729977607727, 0.08968169242143631 ], [ 0.15391406416893005, 0.06039278581738472, 0.9421570301055908, 0.9623908996582031 ] ] }, { "q_id": "8958_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 ], "rewards": [ [ 0.09541738778352737, 0.009612852707505226, 0.03979702666401863, 0.04207027703523636, 0.05823533236980438, 0.0008879834203980863, 0.0004934053285978734 ], [ 0.03860052302479744, 0.16269080340862274, 0.10065101832151413, 0.00041188477189280093 ], [ 0.020569773390889168, 0.03401215001940727, 0.035797636955976486, 0.021771419793367386, 0.027702612802386284, 0.0417105033993721, 0.04030606150627136, 0.01707957126200199, 0.018264183774590492, 0.9923392534255981, 0.9994315505027771 ], [ 0.0687338262796402, 0.02176669053733349, 0.058614715933799744, 0.006962265353649855, 0.014119061641395092, 0.014115889556705952, 0.0006306151044555008 ], [ 0.09499320387840271, 0.060244303196668625, 0.03983932361006737, 0.033465925604104996, 0.0596655048429966, 0.09028337895870209, 0.05216074734926224, 0.049178168177604675, 0.0021656062453985214, 0.0503249354660511, 0.11547727137804031, 0.026396682485938072, 0.022178882732987404, 0.03175811842083931, 0.020643947646021843, 0.021357042714953423, 0.04733285680413246, 0.00048000519745983183 ], [ 0.9957791566848755, 0.9995348453521729 ], [ 0.0629815012216568, 0.05608850717544556, 0.0866028293967247, 0.018234675750136375, 0.9966346621513367, 0.9995957016944885 ], [ 0.03522620350122452, 0.02449720911681652, 0.9849105477333069, 0.9989940524101257 ], [ 0.08151815086603165, 0.017019275575876236, 0.03835488483309746, 0.05888235196471214, 0.06415826827287674, 0.036926496773958206, 0.015622266568243504, 0.021227044984698296, 0.9942268133163452, 0.9994046688079834 ], [ 0.028737539425492287, 0.052499160170555115, 0.028686808422207832, 0.05346222594380379, 0.9904963970184326, 0.9993067979812622 ], [ 0.07146047800779343, 0.030086560174822807, 0.025922825559973717, 0.04449989274144173, 0.13508667051792145, 0.07572423666715622, 0.03310677781701088, 0.9942069053649902, 0.9994749426841736 ], [ 0.07638678699731827, 0.07149582356214523, 0.05315785109996796, 0.9958533048629761, 0.999497652053833 ], [ 0.07887580990791321, 0.018996164202690125, 0.03682738542556763, 0.052239757031202316, 0.08447553217411041, 0.10625708103179932, 0.05445016548037529, 0.02196810208261013, 0.9946902990341187, 0.989124059677124, 0.9997510313987732 ], [ 0.440146803855896, 0.04045647010207176, 0.020659981295466423, 0.0374249666929245, 0.03572985529899597, 0.03799763694405556, 0.017332380637526512, 0.02348233200609684, 0.0031149624846875668, 0.012183357030153275, 0.00251937098801136, 0.0006635074969381094 ], [ 0.04586616903543472, 0.05477948114275932, 0.039567165076732635, 0.9974760413169861, 0.9997064471244812 ] ] }, { "q_id": "8533_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.15517571568489075, 0.06084709241986275, 0.009345218539237976, 0.003108469070866704 ], [ 0.3805450201034546, 0.18067941069602966, 0.24749094247817993, 0.09548235684633255, 0.09503954648971558, 0.08319497853517532, 0.024577636271715164, 0.22178713977336884, 0.0036723436787724495 ], [ 0.29241204261779785, 0.03342345729470253, 0.029667750000953674, 0.9901068210601807 ], [ 0.5067573189735413, 0.11786388605833054, 0.3164457082748413, 0.0033230013214051723, 0.003484053071588278 ], [ 0.07044604420661926, 0.05144074931740761, 0.14759327471256256, 0.034709230065345764, 0.12393979728221893, 0.027387548238039017, 0.14951148629188538, 0.13927677273750305, 0.028322787955403328, 0.2870165705680847, 0.04304289445281029, 0.08084669709205627, 0.015875691547989845, 0.0005652215331792831, 0.03566685691475868, 0.016526442021131516, 0.05306423455476761, 0.9108458757400513, 0.9875863790512085 ], [ 0.3564712703227997, 0.5949358344078064, 0.2691808342933655, 0.315657377243042, 0.0038720571901649237, 0.00928196869790554, 0.028833845630288124, 0.0016960921930149198 ], [ 0.3575383722782135, 0.12274771928787231, 0.21165049076080322, 0.03305065259337425, 0.13986501097679138, 0.21382957696914673, 0.07637057453393936, 0.05615490674972534, 0.046997614204883575, 0.042347636073827744, 0.03340108320116997, 0.05492003262042999, 0.012686212547123432, 0.0288450475782156, 0.006203814409673214, 0.0021872450597584248 ], [ 0.1692689210176468, 0.037513118237257004, 0.01564549095928669, 0.03678436204791069, 0.003898324677720666 ], [ 0.31845366954803467, 0.005958260968327522, 0.051763396710157394, 0.047856103628873825, 0.08429180085659027, 0.03868917375802994, 0.0952126681804657, 0.03692139312624931, 0.051228415220975876, 0.10190309584140778, 0.08982208371162415, 0.9885311126708984 ], [ 0.4196477234363556, 0.41546106338500977, 0.4056914150714874, 0.17795877158641815, 0.29184162616729736, 0.3334844708442688, 0.09469110518693924, 0.28938132524490356, 0.06788212060928345, 0.07461907714605331, 0.07412248849868774, 0.12409250438213348, 0.20942263305187225, 0.954857349395752, 0.9910332560539246 ], [ 0.38900625705718994, 0.03815538063645363, 0.05104502663016319, 0.2518656253814697, 0.04928901419043541, 0.06488540023565292, 0.08508593589067459, 0.05692840740084648, 0.9721863269805908, 0.994261622428894 ], [ 0.4344445466995239, 0.26033639907836914, 0.2145400047302246, 0.052567560225725174, 0.08735290169715881, 0.014744344167411327, 0.08793026208877563, 0.06659429520368576, 0.1874023675918579, 0.0019291754579171538, 0.08815906941890717, 0.008840102702379227, 0.09656625986099243, 0.1003803089261055, 0.011173667386174202, 0.0824594721198082, 0.008215807378292084, 0.051482975482940674, 0.00695134187117219, 0.050357673317193985, 0.00019210620666854084, 0.012192186899483204, 0.00021399057004600763, 0.05958922579884529, 0.011583634652197361, 0.05851242318749428, 0.9934773445129395 ], [ 0.6872079372406006, 0.05821775645017624, 0.1668470799922943, 0.14421135187149048, 0.3843553960323334, 0.03253448009490967, 0.24842198193073273, 0.24186885356903076, 0.12888778746128082, 0.0443836972117424, 0.23261591792106628, 0.22991828620433807, 0.028289077803492546, 0.2340199053287506, 0.07563508301973343, 0.3804183602333069, 0.042987145483493805, 0.16790533065795898, 0.0050066132098436356, 0.32365790009498596, 0.03516187518835068, 0.08584075421094894, 0.14463236927986145, 0.17284277081489563, 0.13390077650547028, 0.03352160379290581, 0.0758160725235939, 0.005488217808306217, 0.0032685024198144674, 0.0081862173974514, 0.035153936594724655, 0.9904159307479858 ], [ 0.5079547762870789, 0.42417916655540466, 0.2640373408794403, 0.0016922767972573638 ], [ 0.37889495491981506, 0.21641622483730316, 0.3699146807193756, 0.030733006075024605, 0.03741959109902382, 0.09971389919519424, 0.17492569983005524, 0.2801092863082886, 0.08132845163345337, 0.16190773248672485, 0.004763889126479626 ], [ 0.32576557993888855, 0.17077118158340454, 0.014994282275438309, 0.0696614608168602, 0.041473325341939926, 0.24053461849689484, 0.006639490369707346, 0.21617576479911804, 0.11788896471261978, 0.08141567558050156, 0.04234674945473671, 0.19454491138458252, 0.051048099994659424, 0.0024316483177244663, 1.1387159247533418e-05, 0.015016441233456135, 0.01350603811442852, 0.004727931693196297 ] ] }, { "q_id": "8258_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9196128249168396, 0.03877762332558632, 0.2422289103269577 ], [ 0.04600534960627556, 0.01716342382133007, 0.0773892030119896, 0.7310699224472046, 0.39872846007347107 ], [ 0.38155099749565125, 0.017373116686940193, 0.04230528697371483, 0.009538667276501656, 0.024028180167078972, 0.029385432600975037, 0.03327828273177147, 0.030929675325751305, 0.024956783279776573, 0.0299687422811985, 0.03359967842698097, 0.03096219338476658, 0.03692809119820595, 0.041785407811403275, 0.04767909273505211, 0.027213025838136673, 0.0600486621260643, 0.04627184569835663, 0.06767234206199646, 0.03243773803114891, 0.03961753845214844, 0.043516650795936584, 0.039126791059970856, 0.05187729001045227, 0.03152893856167793, 0.05913175642490387, 0.03241807967424393, 0.04864564538002014, 0.025072414427995682, 0.04305976629257202, 0.030817221850156784, 0.04359690472483635, 0.00998446624726057, 0.0428394190967083, 0.04826054349541664, 0.0427921824157238, 0.04371746629476547, 0.043573424220085144, 0.052385635673999786, 0.04895707964897156, 0.05041121318936348, 0.027199633419513702, 0.046575743705034256, 0.027863366529345512, 0.0468616746366024, 0.0452420711517334, 0.034262675791978836, 0.05383264273405075, 0.05209955945611, 0.03941521421074867, 0.02646828070282936, 0.052660781890153885, 0.10704359412193298, 0.18061208724975586, 0.04925347864627838 ], [ 0.5882464051246643, 0.009448684751987457, 0.3531521260738373, 0.03955482691526413, 0.015176143497228622, 0.02612103894352913, 0.021509623154997826, 0.013960239477455616, 0.01133744977414608 ], [ 0.97882479429245, 0.2170083224773407, 0.0022307338658720255 ], [ 0.05625768378376961, 0.06938615441322327, 0.5086653232574463, 0.0034695612266659737, 0.014890505000948906, 0.021393951028585434, 0.006026305723935366, 0.012796680442988873, 0.015017497353255749, 0.006390790920704603 ], [ 0.23766453564167023, 0.04321444407105446, 0.05918380245566368 ], [ 0.9696929454803467, 0.13925470411777496, 0.00833809282630682, 0.00934757199138403, 0.023914748802781105, 0.020225482061505318 ], [ 0.6018288135528564, 0.07262874394655228, 0.0023260232992470264 ], [ 0.0552392341196537, 0.18762336671352386, 0.02217032015323639, 0.015280467458069324, 0.007981931790709496 ], [ 0.9696495532989502, 0.050730619579553604, 0.7752688527107239, 0.9548518061637878 ], [ 0.08292137086391449, 0.088638536632061, 0.18080559372901917, 0.0014732778072357178 ], [ 0.3130421042442322, 0.018890144303441048, 0.02688191458582878, 0.0358639694750309, 0.005884344689548016 ], [ 0.0798785462975502, 0.025816265493631363, 0.05484454706311226, 0.05107536539435387, 0.04876944050192833, 0.14866991341114044 ], [ 0.9567386507987976, 0.021875808015465736, 0.031116878613829613, 0.0032273661345243454 ], [ 0.8605959415435791, 0.022523513063788414, 0.007134214974939823, 0.0034685719292610884 ] ] }, { "q_id": "8216_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.25093284249305725, 0.5265374779701233, 0.3535616099834442, 0.026915688067674637, 0.06925618648529053, 0.03767593577504158 ], [ 0.01297158282250166, 0.006938855163753033, 0.040172602981328964, 0.009695525281131268, 0.14585326611995697, 0.1262430101633072, 0.031660523265600204, 0.029425719752907753 ], [ 0.00713346479460597, 0.0164540633559227, 0.24185484647750854, 0.10030653327703476, 0.028644736856222153, 0.3138040602207184, 0.04876388981938362 ], [ 0.10279366374015808, 0.21721896529197693, 0.2834196388721466, 0.016811005771160126, 0.171652153134346, 0.02352401614189148 ], [ 0.07916916161775589, 0.1677853912115097, 0.08080864697694778, 0.21893101930618286, 0.05337607115507126, 0.14990191161632538, 0.023276103660464287 ], [ 0.12557516992092133, 0.09184293448925018, 0.04385002702474594, 0.0484934076666832 ], [ 0.004012331832200289, 0.0017890766030177474, 0.09497615694999695, 0.08282331377267838, 0.026213591918349266, 0.07958953827619553, 0.10678688436746597, 0.03341319039463997 ], [ 0.08421903103590012, 0.09238426387310028, 0.001206804532557726, 0.5449144244194031, 0.418935090303421, 0.03972635045647621, 0.15118467807769775, 0.061027511954307556 ], [ 0.10142101347446442, 0.29094448685646057, 0.290485680103302, 0.07530699670314789, 0.062192194163799286, 0.0477023720741272 ], [ 0.059036772698163986, 0.0020026853308081627, 0.16494816541671753, 0.38708874583244324, 0.07718106359243393, 0.09217648953199387, 0.3011571764945984, 0.036052923649549484 ], [ 0.15659387409687042, 0.6940300464630127, 0.1308082640171051 ], [ 0.10279354453086853, 0.23661458492279053, 0.29978281259536743, 0.04364008828997612, 0.042995110154151917, 0.06394042819738388, 0.06999903172254562, 0.06605607271194458 ], [ 0.01440515462309122, 0.04272802919149399, 0.06432536244392395, 0.16903047263622284, 0.12024588882923126, 0.08649463206529617, 0.08027328550815582 ], [ 0.0173942930996418, 0.010237598791718483, 0.07029132544994354, 0.04324065521359444, 0.060485124588012695, 0.022424951195716858 ], [ 0.003323820885270834, 0.0014439855003729463, 0.010961996391415596, 0.5547032356262207, 0.4424009919166565, 0.02509751170873642, 0.443156898021698, 0.27917128801345825, 0.03616023063659668 ], [ 0.07916863262653351, 0.21322059631347656, 0.030788451433181763, 0.03454504907131195 ] ] }, { "q_id": "8143_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8763057589530945, 0.4961547255516052, 0.9992064833641052, 0.9986409544944763 ], [ 0.7164773344993591, 0.9924749732017517, 0.984600841999054 ], [ 0.8948469161987305, 0.5328823328018188, 0.23974578082561493, 0.999049961566925, 0.9990673661231995 ], [ 0.7638240456581116, 0.3330753743648529, 0.5222724080085754, 0.9977217316627502, 0.9970096349716187 ], [ 0.8206231594085693, 0.06314434111118317, 0.2546951174736023, 0.9934479594230652, 0.9856975078582764 ], [ 0.6502089500427246, 0.9984281063079834, 0.9948312640190125 ], [ 0.903554379940033, 0.4818713068962097, 0.6149006485939026, 0.9989251494407654, 0.9991342425346375 ], [ 0.7073831558227539, 0.49785029888153076, 0.2340787947177887, 0.9990835189819336, 0.9935874938964844 ], [ 0.8924319744110107, 0.3207617700099945, 0.11463869363069534, 0.9995110034942627, 0.9989493489265442 ], [ 0.8206973671913147, 0.17095330357551575, 0.5076853036880493, 0.07225795835256577, 0.9987931251525879, 0.9975172281265259 ], [ 0.863875687122345, 0.44598791003227234, 0.23267944157123566, 0.9990835189819336, 0.9990730285644531 ], [ 0.8327505588531494, 0.3095443546772003, 0.9939135909080505, 0.8425171375274658 ], [ 0.8764210343360901, 0.3836052119731903, 0.17035754024982452, 0.9993209838867188, 0.9989929795265198 ], [ 0.3509369194507599, 0.3032572567462921, 0.39707085490226746, 0.9950699806213379, 0.9808114767074585 ], [ 0.8327494263648987, 0.29893758893013, 0.7039148807525635, 0.9887497425079346, 0.948916494846344 ], [ 0.9139127731323242, 0.617161214351654, 0.569075882434845, 0.2901214063167572, 0.9990736246109009, 0.9992756247520447 ] ] }, { "q_id": "8038_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.08224045485258102, 0.06564811617136002, 0.9870970249176025, 0.9992859959602356 ], [ 0.05630502104759216, 0.007964025251567364, 0.013911011628806591, 0.9794753789901733, 0.9992187023162842 ], [ 0.9977553486824036, 0.9936608076095581, 0.9997438788414001 ], [ 0.7425796985626221, 0.6641941070556641, 0.8829017281532288, 0.9987571239471436, 0.9997283816337585 ], [ 0.9991573095321655, 0.9901055693626404, 0.9997320771217346 ], [ 0.4614627957344055, 0.013144384138286114, 0.07704207301139832, 0.02207755856215954, 0.05389321967959404, 0.9893380403518677, 0.9994644522666931 ], [ 0.12764784693717957, 0.9871976971626282, 0.9605749845504761, 0.13656830787658691, 0.9970876574516296, 0.999749481678009 ], [ 0.04765141010284424, 0.015614253468811512, 0.9756777286529541, 0.9995243549346924 ], [ 0.06604250520467758, 0.9976524710655212, 0.9997267127037048 ], [ 0.05185922980308533, 0.2320779711008072, 0.17256638407707214, 0.5896923542022705, 0.8864757418632507, 0.9996315240859985 ], [ 0.11836957186460495, 0.14965543150901794, 0.020250197499990463, 0.029860904440283775, 0.02875697799026966, 0.05518006533384323, 0.051424186676740646, 0.991837203502655, 0.999320387840271 ], [ 0.99940025806427, 0.9998692274093628 ], [ 0.13951706886291504, 0.09698238968849182, 0.9985520243644714 ], [ 0.9994410872459412, 0.9974372386932373, 0.9998739957809448 ], [ 0.9983158111572266, 0.031474776566028595, 0.015819193795323372, 0.016087641939520836, 0.03366454690694809, 0.98827064037323, 0.999422550201416 ], [ 0.999468982219696, 0.9985080361366272, 0.9932593703269958, 0.9998748302459717 ] ] }, { "q_id": "8652_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.008382129482924938, 0.010528634302318096, 0.0004568020231090486 ], [ 0.4142211377620697, 0.003963872324675322, 0.03399854898452759, 0.9997707009315491 ], [ 0.19325010478496552, 0.999738872051239 ], [ 0.23775364458560944, 0.013407178223133087, 0.00047725869808346033 ], [ 0.8377144932746887, 0.1334037035703659, 0.06589625030755997, 0.9997410178184509 ], [ 0.010534791275858879, 0.0018248335691168904, 0.009719944559037685, 0.030064931139349937, 0.10689804702997208, 0.9967394471168518, 0.9998196959495544 ], [ 0.010164772160351276, 0.013271401636302471, 0.04221384599804878, 0.03905926272273064, 0.037829477339982986, 0.004361758939921856, 0.0007038228795863688 ], [ 0.12403938919305801, 0.06699591130018234, 0.012489665299654007, 0.025282537564635277, 0.9944621920585632, 0.9996821880340576 ], [ 0.009221103973686695, 0.013527598232030869, 0.0017493870109319687, 0.0005238328594714403 ], [ 0.009553974494338036, 0.019364235922694206, 0.010845322161912918, 0.0009078052244149148 ], [ 0.006655453238636255, 0.999569833278656 ], [ 0.13615992665290833, 0.02899189107120037, 0.9997367262840271 ], [ 0.03321579843759537, 0.0023851185105741024, 0.032344602048397064, 0.01627444662153721, 0.00973831582814455, 0.10396390408277512, 0.0031365484464913607, 0.0009290400776080787 ], [ 0.23303572833538055, 0.010826917365193367, 0.017814265564084053, 0.14349322021007538, 0.06447315216064453, 0.061964839696884155, 0.0043105436488986015, 0.9626457691192627, 0.9883290529251099, 0.9998477697372437 ], [ 0.7807410955429077, 0.07348982989788055, 0.9445344805717468, 0.9998502731323242 ], [ 0.07491584122180939, 0.03479630500078201, 0.07758232951164246, 0.9992757439613342, 0.999891996383667 ] ] }, { "q_id": "8829_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5604567527770996, 0.03960423916578293, 0.18949706852436066, 0.3639991581439972, 0.30110490322113037, 0.2915622293949127, 0.3061460554599762, 0.2123143970966339, 0.17198950052261353, 0.33063897490501404 ], [ 0.21662279963493347, 0.24536944925785065, 0.23055268824100494, 0.11285630613565445, 0.047291528433561325, 0.20196011662483215, 0.15357215702533722, 0.03487037494778633, 0.06732744723558426, 0.05920988321304321, 0.07931162416934967, 0.06477545946836472, 0.5710048079490662 ], [ 0.5675426721572876, 0.3434678316116333, 0.05786053463816643, 0.3002327084541321, 0.04729539155960083, 0.5802372097969055, 0.2781895697116852, 0.08015961945056915, 0.7335898876190186, 0.5306186676025391 ], [ 0.10567515343427658, 0.079625703394413 ], [ 0.08803563565015793, 0.19741718471050262, 0.0593210868537426, 0.09047970920801163, 0.10570449382066727, 0.21727354824543, 0.12905684113502502, 0.04945123940706253, 0.04152043163776398, 0.041429899632930756, 0.042351484298706055, 0.026149656623601913 ], [ 0.2309589684009552, 0.02430013194680214, 0.1359928846359253, 0.004183654207736254, 0.05238925665616989, 0.057773806154727936, 0.042857445776462555, 0.06309705972671509, 0.03330140560865402, 0.0012794616632163525, 0.012373612262308598, 0.11235538125038147, 0.08547631651163101, 0.6006083488464355, 0.3049933910369873 ], [ 0.6628867387771606, 0.017792051658034325, 0.07589208334684372, 0.011280694976449013, 0.07664282619953156, 0.01846281625330448, 0.059840068221092224, 0.015474025160074234, 0.05367808789014816, 0.043317556381225586, 0.04942522570490837, 0.0917796716094017, 0.18532425165176392, 0.07335446774959564, 0.13025061786174774, 0.045646123588085175, 0.07397722452878952, 0.2568229138851166, 0.8316023945808411, 0.8257299661636353 ], [ 0.4377474784851074, 0.008380952291190624, 0.21260809898376465, 0.03662467002868652, 0.08027113974094391, 0.054880499839782715, 0.22377602756023407, 0.009008334949612617, 0.3066970407962799, 0.049817513674497604, 0.10434462875127792, 0.05718723684549332, 0.09808404743671417, 0.06659314036369324, 0.43985307216644287, 0.11244557797908783, 0.07048014551401138, 0.3245873749256134, 0.28142181038856506, 0.31056979298591614 ], [ 0.25019994378089905, 0.028485333546996117, 0.0317646861076355, 0.002911926480010152, 0.22933101654052734, 0.03702658787369728, 0.09827707707881927, 0.04810129851102829, 0.11699750274419785, 0.015093767084181309, 0.1555679440498352, 0.059046708047389984, 0.07859188318252563, 0.042813945561647415, 0.10031060874462128, 0.09771278500556946, 0.07434318959712982, 0.14814910292625427, 0.07976339012384415, 0.041429631412029266, 0.0007977931527420878, 0.0573107972741127, 0.03288663551211357, 0.08370283246040344, 0.4249575734138489, 0.42425262928009033 ], [ 0.3897799253463745, 0.012086120434105396, 0.16996794939041138, 0.11569949239492416, 0.06397593766450882, 0.09999574720859528, 0.04672878235578537, 0.20460599660873413, 0.13023777306079865, 0.09621316194534302, 0.17276392877101898, 0.1031143069267273 ], [ 0.03552359715104103, 0.20083129405975342, 0.07334678620100021, 0.12577620148658752, 0.06081295385956764, 0.10502273589372635, 0.12843991816043854, 0.1914859116077423, 0.11611521989107132 ], [ 0.4856977164745331, 0.14311471581459045, 0.24707511067390442, 0.07087238132953644, 0.11029425263404846, 0.17177510261535645, 0.22102238237857819, 0.09070791304111481, 0.3441500961780548, 0.33985981345176697, 0.8946839570999146, 0.8626245260238647 ], [ 0.6193029880523682, 0.04330975562334061, 0.1426948457956314, 0.05428950861096382, 0.2909276485443115, 0.05039152503013611, 0.10288394242525101, 0.1575823575258255, 0.2695968449115753, 0.8327400088310242, 0.6048817038536072 ], [ 0.34805867075920105, 0.05226648226380348, 0.09578026831150055, 0.05636560544371605, 0.8404271006584167 ], [ 0.4922410547733307, 0.1442616730928421, 0.17902491986751556, 0.036489639431238174, 0.07725020498037338, 0.03645302727818489, 0.05909799411892891, 0.10966009646654129, 0.1903982013463974, 0.16729478538036346, 0.13987001776695251, 0.007097993977367878, 0.09778963774442673, 0.13516990840435028, 0.060376908630132675, 0.06745697557926178, 0.08095600455999374, 0.08570583909749985, 0.09024892002344131 ], [ 0.21147535741329193, 0.3535774052143097, 0.13396626710891724, 0.09938199818134308, 0.05044327303767204, 0.08297071605920792, 0.26968270540237427, 0.04635088890790939, 0.0652768462896347 ] ] }, { "q_id": "7711_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3626660406589508, 0.17633309960365295, 0.0015122066251933575 ], [ 0.4243234694004059, 0.086158886551857, 0.3502368927001953, 0.06748281419277191, 0.026001133024692535 ], [ 0.36114105582237244, 0.4272957742214203, 0.33739593625068665, 0.0949697270989418, 0.05372997373342514 ], [ 0.17590300738811493, 0.3022730052471161, 0.09644585847854614, 0.00896834209561348, 0.015052247792482376, 0.7624533772468567, 0.31458649039268494, 0.014482582919299603, 0.315618634223938, 0.20680299401283264, 0.9509831666946411, 0.9987277388572693 ], [ 0.4740547835826874, 0.0901949480175972, 0.011068413034081459, 0.2346176654100418, 0.009411525912582874, 0.6220107674598694, 0.9981486797332764, 0.8685865998268127 ], [ 0.2198142111301422, 0.02170194312930107, 0.13393661379814148, 0.10641804337501526, 0.4205007255077362, 0.9395536184310913, 0.8101991415023804 ], [ 0.505858838558197, 0.0739305317401886, 0.0287475623190403, 0.2580890655517578, 0.2364620864391327, 0.05091424286365509, 0.08323517441749573, 0.05943775922060013, 0.14286823570728302, 0.1134643405675888, 0.08911959081888199, 0.09078026562929153, 0.07965747267007828, 0.06733957678079605, 0.07575341314077377, 0.02910376898944378, 0.974506676197052 ], [ 0.47457385063171387, 0.43755415081977844, 0.22200441360473633, 0.018782926723361015, 0.622446596622467, 0.053344808518886566, 0.060422372072935104, 0.16877397894859314, 0.04718960449099541, 0.9612852931022644, 0.9882838726043701 ], [ 0.4770852029323578, 0.2415047585964203, 0.020061763003468513, 0.020948098972439766, 0.712380588054657, 0.3023250997066498, 0.0200490839779377, 0.23071634769439697, 0.1940615028142929, 0.9068728089332581, 0.9980555772781372, 0.9898608922958374 ], [ 0.881257176399231, 0.5224793553352356, 0.06816025823354721, 0.10578692704439163, 0.19230075180530548, 0.11420547962188721 ], [ 0.21981175243854523, 0.1588396281003952, 0.02578742802143097, 0.4027244746685028, 0.17167988419532776 ], [ 0.3452000021934509, 0.06039866432547569, 0.25740325450897217, 0.037650734186172485, 0.015166990458965302 ], [ 0.2553442120552063, 0.03211970627307892, 0.10211978852748871, 0.05469997972249985, 0.3910594582557678, 0.04115526005625725, 0.02145146019756794, 0.6508414149284363, 0.21308749914169312, 0.05398734658956528, 0.33671829104423523, 0.2363385707139969, 0.7793149352073669, 0.9978237152099609, 0.6608957052230835 ], [ 0.5775324702262878, 0.481779545545578, 0.11499474942684174, 0.3914906978607178, 0.0420074425637722 ], [ 0.23822733759880066, 0.08294473588466644, 0.3997768461704254, 0.022677848115563393, 0.45690786838531494, 0.21147406101226807 ] ] }, { "q_id": "7693_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.06629481166601181, 0.027879655361175537, 0.009884758852422237, 0.003430950455367565 ], [ 0.0005413282779045403, 0.025215715169906616, 0.004589916206896305, 0.003348077181726694 ], [ 0.0016311092767864466, 0.01133543998003006, 0.020709458738565445, 0.011625074781477451, 0.20279063284397125, 0.003729838179424405, 0.02609894797205925, 0.6927306056022644, 0.12475119531154633, 0.1683649867773056, 0.0038419561460614204 ], [ 0.0029019115027040243, 0.009539023973047733, 0.0036090482026338577, 0.021844882518053055, 0.11930660158395767, 0.004428151063621044, 0.03391709551215172, 0.019733576104044914, 0.011784154921770096, 0.011823841370642185, 0.016985302790999413, 0.03513264283537865, 0.03458843007683754, 0.026238253340125084, 0.009202733635902405, 0.2225603461265564, 0.07580244541168213, 0.02672511711716652, 0.006387951318174601 ], [ 0.013281646184623241, 9.245285764336586e-05, 0.12747196853160858, 0.018146857619285583, 0.00479942886158824 ], [ 0.017934292554855347, 0.05898953974246979, 0.006854175589978695 ], [ 0.002325994661077857, 0.07520172744989395, 0.05097905546426773, 0.008797111921012402, 0.003378885565325618 ], [ 0.08121106773614883, 0.07765057682991028, 0.15844501554965973, 0.06583056598901749, 0.011110984720289707 ], [ 0.0004415064468048513, 0.016927309334278107, 0.042748596519231796, 0.023865381255745888, 0.1657400280237198, 0.0027606794610619545, 0.01715996488928795, 0.00488253403455019 ], [ 0.011244063265621662, 0.024905512109398842, 0.009790932759642601, 0.0033373702317476273 ], [ 0.06328282505273819, 0.037847861647605896, 0.030354468151926994, 0.0279749296605587, 0.0332457460463047, 0.032027263194322586, 0.06774960458278656, 0.043850064277648926, 0.023561110720038414, 0.016662077978253365, 0.5906494855880737, 0.9976778626441956 ], [ 0.0005711003905162215, 0.010212731547653675, 0.022148706018924713, 0.01591791957616806, 0.12345796078443527, 0.014184443280100822, 0.00790009368211031, 0.9718136787414551, 0.0009313835762441158, 0.14970296621322632, 0.20077383518218994, 0.25658461451530457, 0.30985069274902344, 0.4338921010494232, 0.9980024695396423 ], [ 0.0004464404482860118, 0.009562289342284203, 0.002427981933578849, 0.03258015587925911, 0.10228925198316574, 0.024412356317043304, 0.004050737246870995 ], [ 0.0038493815809488297, 0.0452844575047493, 0.006664329674094915 ], [ 0.004754299763590097, 0.004025335423648357, 0.022469524294137955, 0.05568770319223404, 0.04260242357850075, 0.08086122572422028, 0.007079866249114275 ], [ 0.0019748536869883537, 0.07269204407930374, 0.0005513072246685624, 0.012057431042194366, 0.009932225570082664, 0.020967401564121246, 0.03317631036043167, 0.029167786240577698, 0.1931392252445221, 0.05369829759001732, 0.019505338743329048, 0.019105717539787292, 0.32648560404777527, 0.01698196679353714, 0.00702293636277318 ] ] }, { "q_id": "8160_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.03465411067008972, 0.03891637176275253, 0.9884846806526184, 0.9998131394386292 ], [ 0.2690192461013794, 0.040032822638750076, 0.03932175040245056, 0.0010934079764410853, 0.032605983316898346, 0.020297398790717125, 0.046456363052129745, 0.3133825361728668, 0.220790296792984, 0.24879415333271027, 0.7907624840736389, 0.9995001554489136, 0.9998899698257446 ], [ 0.6243762969970703, 0.02489257976412773, 0.04214218258857727, 0.04139241576194763, 0.9899963140487671, 0.9992390871047974, 0.9997994303703308 ], [ 0.2910810112953186, 0.07092399150133133, 0.025711288675665855, 0.013529380783438683, 0.0020459680818021297 ], [ 0.147965669631958, 0.023013226687908173, 0.9954004883766174, 0.9997808337211609 ], [ 0.529200553894043, 0.0024156246799975634, 0.012313473969697952, 0.010016941465437412, 0.0001301155425608158, 0.48248985409736633, 0.04828156903386116, 0.07397359609603882, 0.23784099519252777, 0.0474080815911293, 0.9953670501708984, 0.9998611211776733 ], [ 0.9740627408027649, 0.9907704591751099, 0.993769109249115, 0.9994961023330688, 0.9998049139976501 ], [ 0.958518922328949, 0.9657494425773621, 0.9994685053825378, 0.999906063079834 ], [ 0.5467480421066284, 0.9992747902870178, 0.9998899698257446 ], [ 0.051560450345277786, 0.24563710391521454, 0.9985076785087585, 0.9997110962867737 ], [ 0.14626537263393402, 0.0021515237167477608, 0.01559178251773119, 0.3998514711856842, 0.017475154250860214, 0.9840869307518005, 0.9994280934333801, 0.9998792409896851 ], [ 0.5156860947608948, 0.38464847207069397, 0.9982426166534424, 0.9999244213104248 ], [ 0.01961062103509903, 0.8237248659133911, 0.04092136770486832, 0.03730490803718567, 0.9956910014152527, 0.9997541308403015 ], [ 0.23906028270721436, 0.9948681592941284, 0.9997603297233582 ], [ 0.109641432762146, 0.9844091534614563, 0.031046539545059204, 0.039897620677948, 0.2520996630191803, 0.04291464015841484, 0.006656415294855833 ], [ 0.025364119559526443, 0.026725487783551216, 0.000448395760031417, 0.01498656626790762, 0.00041574417264200747, 0.7573944926261902, 0.9995600581169128, 0.9999470710754395 ] ] }, { "q_id": "8105_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.1062239482998848, 0.2352188527584076, 0.027711346745491028, 0.7095432281494141, 0.13826389610767365, 0.8699274063110352, 0.09858611226081848, 0.1020173504948616, 0.45039549469947815, 0.10283703356981277, 0.9954137206077576 ], [ 0.3491816520690918, 0.6560500860214233, 0.371733695268631, 0.03143834322690964 ], [ 0.06842420995235443, 0.4087669253349304, 0.01667250506579876 ], [ 0.19372841715812683, 0.8967641592025757, 0.147843599319458 ], [ 0.4913945198059082, 0.7014527320861816, 0.028256487101316452 ], [ 0.5357937216758728, 0.011990725994110107 ], [ 0.4755823612213135, 0.04132995009422302, 0.017792586237192154, 0.8991236686706543, 0.4769138991832733, 0.19209013879299164, 0.9923151731491089 ], [ 0.07618951797485352, 0.27062439918518066, 0.9077544808387756, 0.9921993613243103 ], [ 0.12865550816059113, 0.018119636923074722, 0.01457070279866457, 0.7631443738937378, 0.26094746589660645, 0.006131417118012905, 0.17404483258724213, 0.1094321683049202, 0.9799750447273254 ], [ 0.04666823893785477, 0.0036400295794010162, 0.012528895400464535, 0.8506690859794617, 0.9830317497253418 ], [ 0.014849334955215454, 0.2905101478099823, 0.011792981997132301, 0.4478803873062134, 0.1461641788482666, 0.9167742133140564, 0.05206959322094917, 0.07213769853115082, 0.15486036241054535, 0.15961702167987823, 0.994181215763092 ], [ 0.0634131133556366, 0.9422252774238586, 0.990041196346283 ], [ 0.24572423100471497, 0.06827030330896378, 0.03881873935461044, 0.18638601899147034, 0.5736395716667175, 0.5681851506233215, 0.08768117427825928 ], [ 0.05226173996925354, 0.09016537666320801, 0.034206993877887726, 0.9674959778785706, 0.3147313892841339, 0.39288175106048584, 0.3008648157119751, 0.9933318495750427 ], [ 0.08012495189905167, 0.01570451259613037, 0.014015556313097477, 0.014029465615749359, 0.030559072270989418, 0.005389490630477667, 0.01233693864196539, 0.007497624959796667 ], [ 0.006826647091656923, 0.09088923037052155, 0.014983059838414192 ] ] }, { "q_id": "7922_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.385463684797287, 0.13389547169208527, 0.7064281105995178, 0.9901964664459229, 0.9994889497756958, 0.9997530579566956 ], [ 0.4438285231590271, 0.3276120126247406, 0.989903450012207, 0.9992702603340149, 0.9997435212135315 ], [ 0.6877619624137878, 0.4724572002887726, 0.0941409021615982, 0.1683075726032257, 0.6048765182495117, 0.9959160685539246, 0.999555766582489 ], [ 0.6877607703208923, 0.10596323758363724, 0.24831196665763855, 0.20996837317943573, 0.0619703009724617, 0.1492874175310135, 0.9976028800010681, 0.9995154142379761 ], [ 0.5337559580802917, 0.18180818855762482, 0.08999999612569809, 0.8469530940055847, 0.9996167421340942, 0.9996620416641235 ], [ 0.11165580153465271, 0.09037792682647705, 0.5589712858200073, 0.9993778467178345, 0.9994223117828369 ], [ 0.6745195984840393, 0.5537145733833313, 0.9736480712890625, 0.9991255402565002, 0.9995948672294617 ], [ 0.5550713539123535, 0.9923321008682251, 0.9810214042663574, 0.9987782835960388 ], [ 0.8257776498794556, 0.2662881314754486, 0.9752654433250427, 0.999244213104248, 0.9997310042381287 ], [ 0.5096075534820557, 0.9969083666801453, 0.999659538269043 ], [ 0.5043193697929382, 0.08247512578964233, 0.9986982345581055, 0.9996155500411987 ], [ 0.4508572816848755, 0.1633758842945099, 0.941166877746582, 0.9991809725761414, 0.9996497631072998 ], [ 0.4953879415988922, 0.95638108253479, 0.9993264675140381, 0.9997496008872986 ], [ 0.1728198081254959, 0.008302615955471992, 0.07240785658359528, 0.060477569699287415, 0.9986905455589294, 0.9992637038230896 ], [ 0.5483390688896179, 0.9870282411575317, 0.9980297684669495, 0.9993802309036255 ], [ 0.44547510147094727, 0.0883464515209198, 0.05975792557001114, 0.544953465461731, 0.9991318583488464, 0.9997172951698303 ] ] }, { "q_id": "7946_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.948360800743103, 0.9707061648368835 ], [ 0.13344185054302216, 0.9379367232322693, 0.9902991056442261 ], [ 0.3292802572250366, 0.035517193377017975, 0.027009930461645126, 0.0498858317732811, 0.0694136843085289, 0.03371939808130264, 0.10089877247810364, 0.8052086234092712, 0.9958121180534363, 0.9973740577697754 ], [ 0.17650547623634338, 0.2699374854564667, 0.9744239449501038, 0.9940999150276184, 0.9971227049827576 ], [ 0.5041649341583252, 0.016808656975626945, 0.028240568935871124, 0.021512825042009354, 0.13829441368579865, 0.3992444574832916, 0.5217317342758179, 0.9878771305084229, 0.9900215268135071 ], [ 0.11171725392341614, 0.09775189310312271, 0.05349722504615784, 0.06370888650417328, 0.024184374138712883, 0.17629064619541168, 0.019697468727827072, 0.8208461999893188, 0.9965938925743103, 0.997548520565033 ], [ 0.9747076630592346, 0.9846151471138 ], [ 0.9942618608474731, 0.9948215484619141 ], [ 0.1128561720252037, 0.4495876729488373, 0.2898850739002228, 0.25420230627059937, 0.2275940477848053, 0.12756597995758057, 0.9964172840118408, 0.9980826377868652 ], [ 0.308639794588089, 0.59188312292099, 0.9793806672096252, 0.9945295453071594, 0.9962640404701233 ], [ 0.21389274299144745, 0.05852355808019638, 0.059110671281814575, 0.11944580078125, 0.075182244181633, 0.1699284464120865, 0.12042072415351868, 0.027429472655057907, 0.09468742460012436, 0.8573882579803467, 0.07620515674352646, 0.5665348768234253, 0.9963456988334656, 0.9977375268936157 ], [ 0.5014752149581909, 0.7553561329841614, 0.9958189129829407, 0.9977060556411743 ], [ 0.46607744693756104, 0.06223496049642563, 0.15425758063793182, 0.18085065484046936, 0.8238352537155151, 0.9906336069107056, 0.9925605654716492 ], [ 0.11117050051689148, 0.1693136990070343, 0.9797456860542297, 0.9937145113945007 ], [ 0.9868997931480408, 0.9952351450920105 ], [ 0.09658318758010864, 0.17746955156326294, 0.9940033555030823, 0.9985857009887695 ] ] }, { "q_id": "7844_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.0019328311318531632, 0.02057967334985733, 0.00157032476272434, 0.0482855848968029, 0.0003219383070245385, 0.04271886497735977, 0.048554759472608566, 0.059016965329647064, 0.012797313742339611, 0.04536540433764458, 0.03207991272211075, 0.03354796767234802, 0.04287360981106758, 0.04120979085564613, 0.0071009183302521706 ], [ 0.18478618562221527, 0.19271087646484375, 0.05270423740148544, 0.04062407463788986, 0.007941050454974174 ], [ 0.18708670139312744, 0.17541567981243134, 0.47411537170410156, 0.1416078358888626, 0.0661100447177887, 0.03357697278261185, 0.06078796461224556, 0.03482814505696297, 0.03043113648891449, 0.16246846318244934, 0.8183287382125854 ], [ 0.40958499908447266, 0.12975430488586426, 0.0683145746588707, 0.09277435392141342, 0.050956085324287415, 0.04847703501582146, 0.05277944356203079, 0.040182143449783325, 0.040927864611148834, 0.023820677772164345, 0.05292581394314766, 0.06177520006895065, 0.07327424734830856, 0.0495154894888401, 0.0713612288236618, 0.13457047939300537, 0.21949522197246552 ], [ 0.4971368610858917, 0.017280951142311096, 0.04719977080821991, 0.044293686747550964, 0.05366363376379013, 0.0004689007473643869, 0.04776763543486595, 0.00012347059964668006, 0.08890313655138016, 0.00015163734497036785, 0.05808107554912567, 0.219490647315979, 0.06596673280000687, 0.19046545028686523, 0.14994780719280243, 0.3199197053909302, 0.22906804084777832, 0.10234535485506058, 0.021626833826303482, 0.08310580998659134, 0.0931938886642456, 0.8856122493743896, 0.8753523826599121 ], [ 0.19307337701320648, 0.1261368989944458, 0.05489306524395943, 0.03898578882217407, 0.0912569984793663, 0.06706206500530243, 0.010495814494788647 ], [ 0.05279222130775452, 0.23095457255840302, 0.04673116281628609, 0.06957108527421951, 0.056128278374671936 ], [ 0.27662956714630127, 0.1681338995695114, 0.3048209846019745, 0.037399087101221085, 0.019856471568346024, 0.06234249100089073, 0.7046650648117065, 0.9669809341430664 ], [ 0.34045809507369995, 0.36418452858924866, 0.04820980504155159, 0.815336287021637, 0.9588927030563354 ], [ 0.49477797746658325, 0.05850640684366226, 0.031123993918299675, 0.02575906552374363, 0.049369070678949356, 0.01873099058866501, 0.17169974744319916, 0.03603397309780121, 0.006108755711466074 ], [ 0.34512853622436523, 0.030168065801262856, 0.19407819211483002, 0.07562748342752457, 0.24119943380355835, 0.04472611844539642, 0.03535943105816841, 0.13861869275569916, 0.07493913918733597, 0.8868118524551392, 0.9808792471885681 ], [ 0.14252807199954987, 0.3561546206474304, 0.049378134310245514, 0.1527487337589264, 0.16169846057891846, 0.1396365761756897, 0.1322946399450302, 0.03740070387721062, 0.33977070450782776, 0.17718197405338287, 0.8930636048316956, 0.962652325630188 ], [ 0.1890714168548584, 0.2641456723213196, 0.24937725067138672, 0.19742517173290253, 0.1946047842502594, 0.2673881947994232, 0.24043308198451996, 0.016314879059791565, 0.029248179867863655, 0.16963566839694977, 0.014306134544312954, 0.031527191400527954 ], [ 0.36537763476371765, 0.0456695593893528, 0.08621127903461456, 0.2425183802843094, 0.16018930077552795, 0.014961891807615757, 0.29841500520706177, 0.22796040773391724, 0.38546907901763916, 0.1346663385629654, 0.05040304362773895, 0.006378872785717249 ], [ 0.3570955693721771, 0.055251333862543106, 0.06053023040294647, 0.06146852672100067, 0.9145551323890686, 0.9720885753631592 ] ] }, { "q_id": "8427_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.06302870810031891, 0.1402546465396881, 0.05682274326682091, 0.3013785183429718, 0.11921723932027817, 0.30336567759513855, 0.40142977237701416, 0.0843677967786789, 0.02857212908565998 ], [ 0.21868975460529327, 0.052779536694288254, 0.08806817978620529, 0.2766982614994049, 0.09870448708534241, 0.16307680308818817, 0.07759127020835876, 0.17213881015777588, 0.056290581822395325, 0.0835021361708641, 0.03518734499812126, 0.11082570254802704, 0.03803098946809769 ], [ 0.24560457468032837, 0.0344676710665226 ], [ 0.3884262442588806, 0.10710450261831284, 0.05135475471615791, 0.03121340088546276 ], [ 0.379987895488739, 0.598055362701416, 0.14348766207695007, 0.4601127505302429, 0.37110480666160583, 0.1293269395828247, 0.0388321727514267, 0.03147576004266739 ], [ 0.2220091074705124, 0.06671205908060074, 0.2656935155391693, 0.10870790481567383, 0.10728014260530472, 0.06959180533885956, 0.07490493357181549, 0.03412628173828125 ], [ 0.6051034927368164, 0.11691049486398697, 0.022302720695734024, 0.06605137139558792, 0.11260267347097397, 0.007145335432142019, 0.05743328481912613, 0.03541916608810425, 0.009341065771877766, 0.06482594460248947, 0.011299713514745235, 0.03867016360163689, 0.012753988616168499, 0.07378087937831879, 0.014499102719128132, 0.017836755141615868 ], [ 0.1860356479883194, 0.2211001068353653, 0.4605087637901306, 0.22752682864665985, 0.027755653485655785 ], [ 0.04340268298983574, 0.06598621606826782, 0.04158898815512657, 0.0846681222319603, 0.10388194024562836, 0.07043357938528061, 0.04523004963994026 ], [ 0.8149357438087463, 0.43568122386932373, 0.41866618394851685, 0.08203840255737305, 0.05369238182902336, 0.026708662509918213 ], [ 0.13511307537555695, 0.2012813836336136, 0.2256709784269333, 0.002526678843423724, 0.36949679255485535, 0.4526410698890686, 0.023205557838082314, 0.06652824580669403, 0.023431265726685524, 0.05368748679757118, 0.11202941834926605, 0.016139009967446327, 0.17886455357074738, 0.07105689495801926, 0.0032206224277615547 ], [ 0.434312641620636, 0.06809704750776291, 0.4804335832595825, 0.1780826300382614, 0.48945561051368713, 0.05752791464328766, 0.03166232258081436 ], [ 0.054584063589572906, 0.20415985584259033, 0.21119225025177002, 0.0674150288105011, 0.12162908166646957, 0.0014579882845282555, 0.40020161867141724, 0.07036037743091583, 0.06826990842819214, 0.04609296843409538, 0.0543641522526741, 0.017992841079831123, 0.19580957293510437, 0.1038735955953598, 0.0841904878616333, 0.03664904087781906 ], [ 0.13349761068820953, 0.07002364099025726, 0.12181026488542557, 0.04225406050682068, 0.00015887721383478492, 0.1114857867360115, 0.3274870216846466, 0.008458967320621014, 0.03316015005111694, 0.03957553580403328, 0.15657299757003784, 0.02841455489397049, 0.12903761863708496, 0.04452609270811081, 0.0457475371658802 ], [ 0.11040134727954865, 0.025933699682354927, 0.15619318187236786, 0.06245902553200722, 0.07379880547523499, 0.05516860634088516, 0.016810620203614235, 0.11494544893503189, 0.21001645922660828, 0.03649814426898956 ] ] }, { "q_id": "8297_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7931972146034241, 0.8278031945228577, 0.9943562150001526, 0.9987238049507141 ], [ 0.1116769015789032, 0.23873135447502136, 0.9885563254356384, 0.9964330196380615 ], [ 0.34638193249702454, 0.7419124245643616, 0.9976305961608887, 0.9995821118354797 ], [ 0.4007738530635834, 0.726134181022644, 0.9981322884559631, 0.9995725750923157 ], [ 0.36436817049980164, 0.6671012043952942, 0.016206780448555946, 0.979408323764801, 0.9967691898345947 ], [ 0.550771951675415, 0.01863039657473564, 0.06750445067882538, 0.21204984188079834, 0.026345640420913696, 0.748775064945221, 0.0015945914201438427, 0.9924151301383972, 0.9984089732170105 ], [ 0.5850566029548645, 0.7043131589889526, 0.001230519963428378, 0.993803858757019, 0.9980941414833069 ], [ 0.14052355289459229, 0.1588498204946518, 0.0821845754981041, 0.27385783195495605, 0.012887105345726013, 0.158614844083786, 0.8694642782211304, 0.0011498639360070229, 0.04711170867085457, 0.012950659729540348, 0.9924873113632202, 0.99861741065979 ], [ 0.4111093282699585, 0.15791915357112885, 0.7419652342796326, 0.3442125618457794, 0.16028887033462524, 0.12575827538967133, 0.05330309644341469, 0.0005909907631576061, 0.9957858920097351, 0.9989261031150818 ], [ 0.35877034068107605, 0.7291576862335205, 0.9914637207984924, 0.9979166388511658 ], [ 0.05536745861172676, 0.01859292760491371, 0.9840115308761597, 0.9945513606071472 ], [ 0.45523160696029663, 0.1374918669462204, 0.13415226340293884, 0.6869701147079468, 0.027041738852858543, 0.9960609078407288, 0.9990057349205017 ], [ 0.8455851674079895, 0.11865431070327759, 0.03150796517729759, 0.3552979826927185, 0.7924710512161255, 0.11696977913379669, 0.1203894168138504, 0.08287540823221207, 0.08887985348701477, 0.0019339289283379912, 0.9963400363922119, 0.999245285987854 ], [ 0.30938538908958435, 0.9290491938591003, 0.9966236352920532, 0.9992955923080444 ], [ 0.26026055216789246, 0.0648609846830368, 0.015733793377876282, 0.21314051747322083, 0.8572351336479187, 0.04506417736411095, 0.9921672940254211, 0.997655987739563 ], [ 0.988920271396637, 0.9966993927955627 ] ] }, { "q_id": "8000_mmlu_math", "cot_ids": [ 0, 2, 6, 7, 11, 13 ], "rewards": [ [ 0.1998334378004074, 0.13752126693725586, 0.009683816693723202, 0.01841120608150959, 0.0070117623545229435, 0.01798061840236187, 0.0017081722617149353, 0.0006972223054617643 ], [ 0.21639826893806458, 0.1711842268705368, 0.0380132719874382, 0.02349700964987278, 0.030000755563378334, 0.017030909657478333, 0.002815195359289646, 0.0005199561710469425 ], [ 0.5048247575759888, 0.10077063739299774, 0.15873466432094574, 0.08713334053754807, 0.11976157873868942, 0.03598644956946373, 0.02665954828262329, 0.029319994151592255, 0.03525831550359726, 0.0011912357294932008 ], [ 0.14444871246814728, 0.016359109431505203, 0.020594701170921326, 0.03022575192153454, 0.01758853904902935, 0.024069510400295258, 0.020653318613767624, 0.0012894339160993695, 0.0021006602328270674, 0.005897087045013905, 0.006810168735682964, 0.014489131048321724, 0.00884067639708519, 0.01643521524965763, 0.0011155009269714355 ], [ 0.07695159316062927, 0.16880597174167633, 0.14525040984153748, 0.1957220435142517, 0.03657421097159386, 0.05252755805850029, 0.00500140618532896, 0.010223162360489368, 0.007035386748611927, 0.0010498736519366503, 0.0008511291816830635 ], [ 0.17992077767848969, 0.001878094975836575 ] ] }, { "q_id": "8265_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9289032220840454, 0.3297904133796692, 0.4661262035369873, 0.7340943813323975, 0.9991140961647034, 0.99988853931427 ], [ 0.8621741533279419, 0.35360386967658997, 0.9976394176483154, 0.9997455477714539 ], [ 0.9901909828186035, 0.5217655301094055, 0.6834601163864136, 0.8322052955627441, 0.999037504196167, 0.9996780157089233 ], [ 0.27380189299583435, 0.46198898553848267, 0.999078631401062, 0.9998655319213867 ], [ 0.3823513388633728, 0.694529116153717, 0.6698589324951172, 0.6427351832389832, 0.9988418221473694, 0.9998964071273804 ], [ 0.16446126997470856, 0.03833812475204468, 0.487868994474411, 0.5361888408660889, 0.9994450211524963, 0.9998939037322998 ], [ 0.14488255977630615, 0.3468534052371979, 0.9984599351882935, 0.9998459815979004 ], [ 0.15796099603176117, 0.3344569504261017, 0.5362889170646667, 0.9981209635734558, 0.9998457431793213 ], [ 0.10921288281679153, 0.34725692868232727, 0.9979111552238464, 0.9998586177825928 ], [ 0.9434298276901245, 0.4015553295612335, 0.4932819902896881, 0.6890445351600647, 0.7289286851882935, 0.9984670281410217, 0.9998427629470825 ], [ 0.6230884194374084, 0.1447685807943344, 0.5317809581756592, 0.20798297226428986, 0.5473003387451172, 0.9162512421607971, 0.9990015625953674, 0.9998668432235718 ], [ 0.1579626500606537, 0.33445653319358826, 0.40418678522109985, 0.9982675313949585, 0.9998797178268433 ], [ 0.9187073111534119, 0.3035444915294647, 0.45186054706573486, 0.8250918984413147, 0.9990726709365845, 0.999868631362915 ], [ 0.8948507308959961, 0.6172997355461121, 0.612150251865387, 0.998583197593689, 0.9997406601905823 ], [ 0.3787500858306885, 0.31394967436790466, 0.7264034748077393, 0.7478329539299011, 0.9994638562202454, 0.9997252821922302 ], [ 0.2529922127723694, 0.415395051240921, 0.9989540576934814, 0.9998482465744019 ] ] }, { "q_id": "8455_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9983341097831726, 0.9999176263809204, 0.9999797344207764 ], [ 0.9977824091911316, 0.43377554416656494, 0.8245152235031128, 0.9999217987060547, 0.9999783039093018 ], [ 0.9787915945053101, 0.9819577932357788, 0.9036067724227905, 0.9998972415924072, 0.999975323677063 ], [ 0.9981374740600586, 0.2664066553115845, 0.8718341588973999, 0.9999041557312012, 0.9999812841415405 ], [ 0.9976589679718018, 0.27015799283981323, 0.8468993306159973, 0.999910831451416, 0.9999774694442749 ], [ 0.9987636804580688, 0.9688576459884644, 0.9999136924743652, 0.9999780654907227 ], [ 0.9968559741973877, 0.5072347521781921, 0.7476183176040649, 0.8855969309806824, 0.9998875856399536, 0.9999788999557495 ], [ 0.9987632036209106, 0.9593784213066101, 0.7785285115242004, 0.9999004602432251, 0.9999778270721436 ], [ 0.9977972507476807, 0.6266745328903198, 0.8170478940010071, 0.9999045133590698, 0.9999786615371704 ], [ 0.9979155659675598, 0.2737778127193451, 0.855100691318512, 0.9999164342880249, 0.9999797344207764 ], [ 0.9610947370529175, 0.990025520324707, 0.999901294708252, 0.9999781847000122 ], [ 0.997760534286499, 0.9941897392272949, 0.9999189376831055, 0.9999786615371704 ], [ 0.9978626370429993, 0.7262002229690552, 0.8290241956710815, 0.8824874758720398, 0.6300122737884521, 0.9998866319656372, 0.9999774694442749 ], [ 0.99812251329422, 0.9099465608596802, 0.9999210834503174, 0.9999798536300659 ], [ 0.9812330007553101, 0.9673120975494385, 0.9999228715896606, 0.9999803304672241 ], [ 0.9982914328575134, 0.3942563235759735, 0.8040606379508972, 0.9999138116836548, 0.9999746084213257 ] ] }, { "q_id": "8169_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6533977389335632, 0.3473273813724518, 0.29678261280059814, 0.2607690989971161, 0.32630792260169983, 0.9939365983009338, 0.9965176582336426, 0.9988123178482056 ], [ 0.9907145500183105, 0.9969122409820557 ], [ 0.5927639603614807, 0.04767666757106781, 0.1968528926372528 ], [ 0.6276494860649109, 0.5125739574432373, 0.9567804336547852 ], [ 0.028356492519378662, 0.5634103417396545, 0.3091907203197479, 0.3534964323043823, 0.9905809760093689, 0.9930539727210999, 0.9984695315361023 ], [ 0.12238148599863052, 0.30451351404190063, 0.27925431728363037, 0.02418932504951954, 0.9937686920166016, 0.9983598589897156, 0.9994749426841736 ], [ 0.2993207573890686, 0.4289102256298065, 0.9946311712265015, 0.9968751668930054, 0.9991133809089661 ], [ 0.8713367581367493, 0.983248233795166 ], [ 0.20620417594909668, 0.37241002917289734, 0.9941431879997253, 0.9986711740493774 ], [ 0.9879464507102966, 0.9971699118614197 ], [ 0.5629690289497375, 0.43604764342308044, 0.9886208176612854, 0.9955863952636719, 0.9981523156166077 ], [ 0.3346618711948395, 0.006942263338714838 ], [ 0.7818769812583923, 0.9541068077087402, 0.9904081225395203 ], [ 0.6410343050956726, 0.8182883858680725 ], [ 0.08759143203496933, 0.9965978264808655, 0.9988868832588196 ], [ 0.9967111349105835, 0.9988443851470947 ] ] }, { "q_id": "8972_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.05529744550585747, 0.5935545563697815, 0.8734631538391113, 0.08946439623832703, 0.9974642992019653 ], [ 0.06326408684253693, 0.01938670314848423, 0.3582882583141327, 0.9873567819595337, 0.9993662238121033 ], [ 0.9167113304138184, 0.3507406711578369, 0.9821684956550598, 0.9993031024932861 ], [ 0.12076252698898315, 0.996821403503418, 0.9994773268699646 ], [ 0.6067606210708618, 0.9969626069068909, 0.9994864463806152 ], [ 0.4685923159122467, 0.5597178339958191, 0.38564857840538025, 0.008322319947183132, 0.8249968886375427, 0.9629419445991516, 0.0005246057990007102 ], [ 0.9664285778999329, 0.5926958322525024, 0.002291058888658881 ], [ 0.9136415123939514, 0.1977924257516861, 0.9568201899528503, 0.9560030102729797, 0.9939234852790833, 0.9996329545974731 ], [ 0.0202472060918808, 0.0010177430231124163 ], [ 0.10910410434007645, 0.021521378308534622, 0.5112593173980713, 0.5588593482971191, 0.15486228466033936, 0.9949740171432495, 0.999498724937439 ], [ 0.009073474444448948, 0.2929355502128601, 0.07056419551372528, 0.9970771074295044, 0.9996241331100464 ], [ 0.0904226303100586, 0.7717013955116272, 0.10897772759199142, 0.9321602582931519, 0.9937926530838013, 0.9993983507156372 ], [ 0.09392379224300385, 0.6935232281684875, 0.9522410035133362, 0.9865419864654541, 0.9990909099578857 ], [ 0.18173179030418396, 0.9710263013839722, 0.9987723231315613 ], [ 0.5718932747840881, 0.05880217254161835, 0.39268144965171814, 0.996755063533783, 0.9989294409751892 ], [ 0.4685908854007721, 0.0021014679223299026, 0.16597111523151398, 0.005132146179676056, 0.9884921312332153, 0.9116606116294861, 0.0005870325258001685 ] ] }, { "q_id": "8270_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.47207212448120117, 0.024444621056318283, 0.014312664046883583, 0.0017987389583140612 ], [ 0.9183070063591003, 0.12247974425554276, 0.9954822063446045, 0.9994076490402222 ], [ 0.8238575458526611, 0.15909762680530548, 0.9982025623321533, 0.9995552897453308 ], [ 0.987500011920929, 0.3523918688297272, 0.9950510859489441, 0.9991971850395203 ], [ 0.9977614879608154, 0.9993165731430054 ], [ 0.9022229313850403, 0.15634262561798096, 0.38440850377082825, 0.02112230472266674, 0.06106698885560036, 0.1198650598526001, 0.9985968470573425, 0.9997833371162415 ], [ 0.9989035129547119, 0.9996552467346191 ], [ 0.7910385727882385, 0.9947468638420105, 0.9991971850395203 ], [ 0.9518792033195496, 0.9983799457550049, 0.999713122844696 ], [ 0.3584371507167816, 0.5358214378356934, 0.998670220375061, 0.9997181296348572 ], [ 0.861991822719574, 0.3207496404647827, 0.2025713175535202, 0.40214917063713074, 0.9982130527496338, 0.9996737241744995 ], [ 0.661474883556366, 0.30835017561912537, 0.0013844516361132264 ], [ 0.9994600415229797, 0.9997569918632507 ], [ 0.7601693868637085, 0.10938162356615067, 0.995623767375946, 0.9995597004890442 ], [ 0.19419404864311218, 0.2610556185245514, 0.9985143542289734, 0.9996980428695679 ], [ 0.9321475028991699, 0.9981683492660522, 0.9995294809341431 ] ] }, { "q_id": "7759_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.034795623272657394, 0.056477684527635574, 0.3860490322113037, 0.05442782863974571, 0.044629666954278946, 0.5184242725372314, 0.05481458082795143 ], [ 0.07774006575345993, 0.35394397377967834, 0.025351593270897865, 0.21232882142066956, 0.3594820499420166, 0.5415172576904297, 0.032178256660699844, 0.9272499680519104, 0.49829649925231934 ], [ 0.033477216958999634, 0.02535167522728443, 0.00196365755982697 ], [ 0.5935823321342468, 0.0401790589094162, 0.007744115311652422 ], [ 0.027835208922624588, 0.8503828048706055, 0.9818634390830994, 0.9491698145866394 ], [ 0.5653547048568726, 0.005950871855020523, 0.006961936596781015, 0.09327659755945206, 0.43311092257499695, 0.9923225045204163, 0.9756619930267334 ], [ 0.02380109205842018, 0.18473906815052032, 0.7102630138397217, 0.015513927675783634 ], [ 0.6661226749420166, 0.03862323239445686 ], [ 0.022019673138856888, 0.051741208881139755, 0.04076818749308586, 0.07202474027872086, 0.07480327039957047, 0.09323833137750626, 0.24829736351966858, 0.030847404152154922, 0.02737392485141754, 0.19386519491672516, 0.005154947750270367 ], [ 0.02443455532193184, 0.053404800593853, 0.03534363955259323, 0.07766040414571762, 0.11768978089094162, 0.11739237606525421, 0.1151103526353836, 0.008130344562232494, 0.38676077127456665, 0.042990341782569885 ], [ 0.012460908852517605, 0.021826816722750664, 0.6834023594856262, 0.5406609773635864, 0.09566227346658707 ], [ 0.019189121201634407, 0.017377667129039764, 0.13065512478351593, 0.595589280128479, 0.062102291733026505, 0.024903394281864166 ], [ 0.023420173674821854, 0.0060052694752812386 ], [ 0.42229416966438293, 0.42004260420799255, 0.4282219409942627, 0.08687085658311844, 0.16847290098667145, 0.02904828079044819, 0.018464140594005585, 0.2268262803554535, 0.05385107919573784, 0.0398755818605423, 0.0438540056347847, 0.0597359873354435, 0.041967812925577164, 0.07798663526773453, 0.06891311705112457, 0.02536972053349018, 0.007144473493099213, 0.003433993784710765 ], [ 0.061525169759988785, 0.024196183308959007, 0.13262416422367096, 0.08222241699695587, 0.09921498596668243, 0.04276687651872635, 0.02084413170814514 ], [ 0.13935062289237976, 0.986962080001831, 0.9983236193656921 ] ] }, { "q_id": "8068_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6229153275489807, 0.40542832016944885, 0.9667608141899109, 0.9976922273635864, 0.9995954632759094 ], [ 0.34862542152404785, 0.5253552794456482, 0.2689149081707001, 0.9983901977539062, 0.9996947050094604 ], [ 0.4550217390060425, 0.47436341643333435, 0.9519750475883484, 0.16209304332733154, 0.5393255949020386, 0.6685737371444702, 0.009149265475571156 ], [ 0.38912150263786316, 0.33217161893844604, 0.9991515874862671, 0.999776303768158 ], [ 0.36866846680641174, 0.34518763422966003, 0.999215841293335, 0.9998294115066528 ], [ 0.5829374194145203, 0.2323876917362213, 0.08200153708457947, 0.2795768678188324, 0.6878034472465515, 0.9989511966705322, 0.9997420907020569 ], [ 0.615365743637085, 0.4716980755329132, 0.9716782569885254, 0.9976840019226074, 0.9995648264884949 ], [ 0.3386498689651489, 0.32353559136390686, 0.999108612537384, 0.9998140931129456 ], [ 0.8010817766189575, 0.3550923466682434, 0.25566738843917847, 0.47799602150917053, 0.9994175434112549, 0.9998483657836914 ], [ 0.8963210582733154, 0.3273601531982422, 0.3113415837287903, 0.9994639754295349, 0.9998928308486938 ], [ 0.6665371060371399, 0.43735867738723755, 0.9973862767219543, 0.999299168586731 ], [ 0.5473734736442566, 0.9988698363304138, 0.9996490478515625 ], [ 0.7052130699157715, 0.535947859287262, 0.9984123706817627, 0.9995892643928528 ], [ 0.26134878396987915, 0.30569469928741455, 0.9995602965354919, 0.9998971223831177 ], [ 0.37603265047073364, 0.24355001747608185, 0.24317683279514313, 0.9988196492195129, 0.9997332692146301 ], [ 0.8160626292228699, 0.22795704007148743, 0.3042270839214325, 0.9992607235908508, 0.999866247177124 ] ] }, { "q_id": "7976_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4487685263156891, 0.0008790466235950589, 0.0399378277361393, 0.747272253036499, 0.17363686859607697, 5.120014975545928e-05, 0.07221433520317078, 0.00025590957375243306, 0.1510915756225586, 0.17212991416454315, 0.01024723332375288 ], [ 0.001554726855829358, 0.3628586232662201, 0.002381639089435339, 0.07313937693834305, 0.426831990480423, 0.07644534856081009, 0.10007632523775101, 0.3610832691192627, 0.3309496343135834, 0.503861129283905, 0.991097092628479, 0.9975180625915527 ], [ 0.03725363686680794, 0.00855642557144165, 0.5173825025558472, 0.24579395353794098, 0.1672464907169342, 0.052779849618673325, 0.37621381878852844, 0.979411780834198, 0.991571307182312 ], [ 0.15420565009117126, 0.03800326958298683, 0.7008058428764343, 0.16797368228435516, 0.11464644223451614, 0.06988627463579178, 0.07779327034950256, 0.4209555685520172, 0.22038358449935913, 0.29411864280700684, 0.5268682837486267, 0.991878867149353, 0.9983872175216675 ], [ 0.0735798180103302, 0.047561101615428925, 0.000983814476057887, 0.11544322222471237, 0.12280088663101196, 0.3385131359100342, 0.2321048229932785, 0.0695590227842331, 0.03388167545199394 ], [ 0.7594728469848633, 0.00020007793500553817, 0.0592801496386528, 0.8390411138534546, 0.3107457458972931, 0.07531213760375977, 0.6629546284675598, 0.2356177717447281, 0.08093135058879852, 0.0001639501570025459, 0.11376432329416275, 0.053114280104637146, 0.08597113937139511, 0.02636176533997059 ], [ 0.5211606025695801, 0.0009637484909035265, 0.02513536438345909, 0.01632535830140114, 0.026223938912153244, 0.6739245653152466, 0.044966377317905426, 0.2548159658908844, 0.032450925558805466, 0.05696745589375496, 0.05450262874364853, 0.00013506165123544633, 0.10817321389913559, 0.04826373979449272, 0.33470380306243896, 0.8881533145904541, 0.9876281023025513 ], [ 0.3776385188102722, 0.024937553331255913, 0.36663493514060974, 0.17700324952602386, 0.025889113545417786, 0.03387703001499176, 0.04057113081216812, 0.03096345067024231, 0.026218120008707047, 0.014608900994062424 ], [ 0.0967722088098526, 0.03661962226033211, 9.329660679213703e-05, 0.04438383877277374, 0.05206530541181564, 0.10689390450716019, 0.21111266314983368, 0.1409771740436554, 0.044759154319763184 ], [ 0.36449840664863586, 0.00044859194895252585, 0.04748402535915375, 0.6406290531158447, 0.17089876532554626, 0.27182063460350037, 0.38289451599121094, 0.2636029124259949, 0.05002918094396591, 0.06992748379707336, 0.158000648021698, 0.13961836695671082, 0.01971878483891487, 0.033410508185625076, 0.14458973705768585, 0.08566191792488098, 0.40187910199165344, 0.4070720076560974, 0.3207779824733734, 0.9724127650260925, 0.9955701231956482 ], [ 0.20970691740512848, 0.015000044368207455, 0.11288142204284668, 0.11226121336221695, 0.01587485708296299, 0.0805012509226799, 0.14595060050487518, 0.012018999084830284, 0.04302949458360672, 0.003563511185348034, 0.053414132446050644, 0.3308418393135071, 0.35701465606689453, 0.39991894364356995, 0.2659637928009033, 0.05614733323454857, 0.1557161509990692, 0.302965372800827, 0.032113127410411835, 0.16658586263656616, 4.8413374315714464e-05, 0.0029072186443954706, 1.5297911886591464e-05, 7.392355200863676e-06, 0.0021741383243352175, 0.1846117079257965, 0.29210591316223145, 0.03423395752906799, 0.28810372948646545, 0.25249195098876953, 0.11828744411468506, 0.030455555766820908, 0.12448470294475555, 0.08497890830039978, 0.08434908837080002, 0.02196635864675045, 0.2152356207370758, 0.3084995150566101, 0.0011511786142364144, 0.12876150012016296, 0.11580272763967514, 0.44817906618118286, 0.12828002870082855, 0.046810902655124664 ], [ 0.38377323746681213, 0.0005908478051424026, 0.1261417418718338, 0.09569470584392548, 0.0008476304356008768, 0.015515261329710484, 0.04078024998307228, 0.011873886920511723, 0.1548513025045395, 0.7264220714569092, 0.9910392165184021 ], [ 0.009283912368118763, 0.05306164547801018, 0.5569990277290344, 0.2711981534957886, 0.1953270584344864, 0.0028239376842975616, 0.01319866068661213, 0.03197389096021652, 0.5654967427253723, 0.0025294360239058733, 0.02548777312040329, 0.039498113095760345, 0.013349903747439384, 0.006190027110278606 ], [ 0.34000128507614136, 0.000632835493888706, 0.06476695835590363, 0.6744044423103333, 0.16597096621990204, 0.05316368117928505, 0.0856875330209732, 0.035910464823246, 7.071725849527866e-05, 0.13689197599887848, 0.012148108333349228, 0.1216830462217331, 0.16053837537765503, 0.006818844471126795 ], [ 0.1595841348171234, 0.06488129496574402, 0.00018387220916338265, 0.0691126212477684, 0.7825166583061218, 0.23809489607810974, 0.23158985376358032, 0.056158922612667084, 0.0013557161437347531, 0.06294022500514984, 0.05178940296173096, 0.16944821178913116, 0.18772883713245392, 0.052165042608976364, 0.029553739354014397 ], [ 0.484007328748703, 0.0013078257907181978, 0.016587667167186737, 0.04739401862025261, 0.03007986582815647, 0.6470005512237549, 0.20861701667308807, 0.04095204919576645, 0.21208035945892334, 0.14837515354156494, 0.46324366331100464, 0.9736329317092896 ] ] }, { "q_id": "8375_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7565926313400269, 0.35994407534599304, 0.5603171586990356 ], [ 0.2843054234981537, 0.0008105503511615098, 0.4472562372684479, 0.1668521910905838, 0.6801266074180603, 0.8542570471763611, 0.9861078262329102 ], [ 0.6794307827949524, 0.08116521686315536, 0.9445339441299438, 0.9845924973487854 ], [ 0.7922304272651672, 0.4001387357711792, 0.45443832874298096, 0.5733900666236877, 0.6185709834098816, 0.2182248830795288 ], [ 0.3078914284706116, 0.7667449116706848, 0.971969485282898, 0.9938765168190002 ], [ 0.3855508863925934, 0.808967649936676, 0.9864150881767273, 0.9974671602249146 ], [ 0.35084545612335205, 0.1034749299287796, 0.8292754292488098, 0.9515606760978699 ], [ 0.03239520266652107, 0.5579948425292969, 0.7209623456001282, 0.6845122575759888, 0.9712356328964233 ], [ 0.42754071950912476, 0.9107989072799683, 0.4496570825576782, 0.33676695823669434 ], [ 0.017831644043326378, 0.04422399401664734, 0.13303038477897644, 0.39281362295150757, 0.7827141880989075 ], [ 0.4725624918937683, 0.8504915237426758, 0.9727135896682739, 0.9938985109329224 ], [ 0.7389315962791443, 0.7315226793289185, 0.054197825491428375, 0.9732773303985596, 0.9953187108039856 ], [ 0.47251448035240173, 0.8478721380233765, 0.10032977163791656 ], [ 0.7809317708015442, 0.14996328949928284, 0.964756965637207, 0.9902467727661133 ], [ 0.35050448775291443, 0.2623293995857239, 0.37184271216392517, 0.9918999671936035, 0.9975638389587402 ], [ 0.5002135038375854, 0.8500919342041016, 0.9799787402153015 ] ] }, { "q_id": "8900_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7482115030288696, 0.009703893214464188, 0.023260118439793587, 0.03609582036733627, 0.05247662961483002, 0.024070685729384422, 0.09050443768501282 ], [ 0.0037996936589479446, 0.02154756896197796, 0.07198265194892883, 0.11688879132270813, 0.17670755088329315, 0.4786655604839325, 0.053097713738679886, 0.01928171142935753 ], [ 0.166174054145813, 0.021405166015028954, 0.07205833494663239, 0.04793313890695572 ], [ 0.7687599062919617, 0.2942708134651184, 0.2846290171146393, 0.04472619667649269, 0.010409379377961159 ], [ 0.36107033491134644, 0.0003942425246350467, 0.48054176568984985, 0.014475255273282528, 0.08167856186628342, 0.020609192550182343 ], [ 0.7811330556869507, 0.006164692807942629, 0.010834688320755959, 0.026338962838053703, 0.05520903319120407 ], [ 0.2653164565563202, 0.02732526697218418, 0.007643956691026688 ], [ 0.5608711838722229, 0.0008791964501142502, 0.384229838848114, 0.041905321180820465, 0.012778356671333313 ], [ 0.3063228130340576, 0.011148517951369286, 0.13781994581222534 ], [ 0.6988685131072998, 0.008501224219799042, 0.027315547689795494, 0.037440791726112366, 0.05077169090509415, 0.11244086921215057, 0.40275415778160095, 0.11033248156309128, 0.01918826438486576 ], [ 0.004487102385610342, 0.6191706657409668, 0.5854367017745972, 0.11723901331424713 ], [ 0.011513796634972095, 0.020009007304906845, 0.03974096104502678, 0.04099345952272415 ], [ 0.0036300818901509047, 0.40288159251213074, 0.012181722559034824, 0.026288406923413277 ], [ 0.12453773617744446, 0.01779996231198311, 0.012486460618674755, 0.04153584688901901, 0.08521156758069992, 0.07918243855237961, 0.03220749273896217, 0.036776185035705566 ], [ 0.1052364781498909, 0.011031941510736942, 0.09145453572273254, 0.06070052087306976, 0.03805474191904068, 0.0447956807911396 ], [ 0.5220434665679932, 0.24637147784233093, 0.08792487531900406, 0.013985025696456432 ] ] }, { "q_id": "8723_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.18615689873695374, 0.2089514583349228, 0.13256126642227173, 0.06626801192760468, 0.3131256699562073, 0.051203299313783646, 0.03526759892702103, 0.2222563624382019, 0.06051350012421608, 0.016745707020163536, 0.028493529185652733, 0.0012753232149407268 ], [ 0.10255924612283707, 0.056619174778461456, 0.04528425261378288, 0.05399966984987259, 0.02824895828962326, 0.04826023802161217, 0.058632612228393555, 0.026090318337082863, 0.0447554886341095, 0.2089989334344864, 0.008727937005460262 ], [ 0.06722834706306458, 0.06319861114025116, 0.12923558056354523, 0.10270306468009949, 0.6187607645988464, 0.10100177675485611, 0.10070640593767166, 0.01179293729364872, 0.0022315585520118475 ], [ 0.4191233515739441, 0.04315720498561859, 0.057562462985515594, 0.26545050740242004, 0.3098127543926239, 0.20521126687526703, 0.17949895560741425, 0.12292894721031189, 0.1597496122121811, 0.23903852701187134, 0.39932647347450256, 0.06043052673339844, 0.02410667948424816 ], [ 0.027724584564566612, 0.0514940544962883, 0.06437528878450394, 0.2628636360168457, 0.023280104622244835, 0.11421627551317215, 0.028336767107248306, 0.286268025636673, 0.04210362955927849, 0.009969831444323063, 0.00038013706216588616, 0.028322579339146614, 0.006453734822571278, 0.12545545399188995, 0.09742137044668198, 0.18107399344444275, 0.03133544325828552, 0.03133770078420639, 0.013047922402620316 ], [ 0.09461800754070282, 0.08442671597003937, 0.07428601384162903, 0.04647780582308769, 0.07650037109851837, 0.04967696964740753, 0.05836554616689682, 0.3831929862499237, 0.12289059907197952, 0.11097733676433563, 0.058727458119392395, 0.012675449252128601 ], [ 0.16272243857383728, 0.05226847529411316, 0.7385808229446411, 0.04218006506562233, 0.07939878106117249, 0.23382124304771423, 0.04965788125991821, 0.04743003100156784, 0.048581160604953766, 0.04525972902774811, 0.007274328265339136, 0.06883995980024338, 0.03931119292974472, 0.1389046013355255, 0.10050289332866669, 0.02269039675593376, 0.014809934422373772, 0.003959521651268005 ], [ 0.1113976240158081, 0.17758436501026154, 0.1743084192276001, 0.04584240913391113, 0.421693354845047, 0.061165567487478256 ], [ 0.8923070430755615, 0.003156920662149787, 0.010081903077661991, 0.0124983424320817, 0.02788432314991951, 0.02438761107623577, 0.016020018607378006, 0.0039998507127165794 ], [ 0.1494865119457245, 0.03877220302820206, 0.047726165503263474, 0.10803712904453278, 0.04907401651144028, 0.046705398708581924, 0.05143560841679573, 0.056963901966810226, 0.07696157693862915, 0.06207799166440964, 0.17729629576206207, 0.0433344803750515, 0.25782811641693115, 0.051476381719112396, 0.013472515158355236 ], [ 0.03375866636633873, 0.04433825612068176, 0.5955905914306641, 0.04426923021674156, 0.06489245593547821, 0.028937187045812607 ], [ 0.1487446427345276, 0.03508030250668526, 0.023728586733341217, 0.04596886783838272, 0.3560355007648468, 0.10755563527345657, 0.04058035835623741, 0.029385078698396683, 0.04100247845053673, 0.010594784282147884, 0.001012994791381061 ], [ 0.05301465094089508, 0.09041482210159302, 0.40982362627983093, 0.10412317514419556, 0.015345343388617039, 0.002638790290802717 ], [ 0.03167511150240898, 0.017279652878642082, 0.05697806552052498, 0.009646030142903328, 0.19236676394939423, 0.15805120766162872, 0.012628249824047089, 0.06346464902162552, 0.03856659680604935, 0.012729604728519917, 0.0021235814783722162, 0.026702307164669037, 0.1267564594745636, 0.07234206795692444, 0.10375089198350906, 0.021949125453829765 ], [ 0.11565453559160233, 0.21882805228233337, 0.14081521332263947, 0.06636551022529602, 0.20860140025615692, 0.01808735355734825, 0.02081112377345562, 0.056335631757974625, 0.036743465811014175, 0.07663104683160782, 0.021799243986606598 ], [ 0.20428594946861267, 0.04486025869846344, 0.0912158414721489, 0.034015342593193054, 0.03164955973625183, 0.061424970626831055, 0.028958484530448914, 0.18131139874458313, 0.0813426598906517, 0.10306157916784286, 0.03126091510057449, 0.04002734646201134, 0.03848370909690857, 0.06945617496967316, 0.03608553111553192, 0.06225951015949249, 0.04205607995390892, 0.08688977360725403, 0.03821933642029762, 0.05005386844277382, 0.0784471184015274, 0.09043082594871521, 0.05221891403198242, 0.016064848750829697 ] ] }, { "q_id": "7887_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.02024168148636818, 0.10485965013504028, 0.0037435477133840322, 0.04663819074630737, 0.01881864108145237, 0.09678817540407181, 0.9726726412773132, 0.003254433861002326 ], [ 0.025423942133784294, 0.0211472325026989, 0.06003493443131447, 0.22390428185462952, 0.06513416022062302, 0.11433703452348709, 0.07051988691091537, 0.04742645472288132, 0.1328342854976654, 0.07841967046260834, 0.2775689661502838, 0.036250896751880646, 0.06375061720609665, 0.9123588800430298, 0.9892822504043579 ], [ 0.22460339963436127, 0.06081601232290268, 0.041867028921842575, 0.05542675405740738, 0.9521048069000244, 0.9886123538017273 ], [ 0.030665749683976173, 0.09290949255228043, 0.06261856853961945, 0.028516437858343124, 0.33107972145080566, 0.2900652289390564, 0.1747623085975647, 0.3252444267272949, 0.013331112451851368 ], [ 0.23686109483242035, 0.14579454064369202, 0.07838564366102219, 0.19199226796627045, 0.054587192833423615, 0.16186612844467163, 0.06178335100412369, 0.10303358733654022, 0.05314824730157852, 0.03796151652932167, 0.030742991715669632, 0.026922909542918205, 0.003777632722631097 ], [ 0.24697469174861908, 0.0485127717256546, 0.1702815741300583, 0.07237718999385834, 0.031215302646160126, 0.007992886006832123 ], [ 0.7598407864570618, 0.06936664134263992, 0.04341401532292366, 0.07346506416797638, 0.06645387411117554, 0.33812737464904785, 0.5580388903617859, 0.019669193774461746, 0.17831285297870636, 0.021878257393836975, 0.0020097673404961824 ], [ 0.23137424886226654, 0.07431625574827194, 0.05055040866136551, 0.056202977895736694, 0.02183842658996582, 0.014978902414441109 ], [ 0.532008707523346, 0.9920918941497803 ], [ 0.29328614473342896, 0.022894535213708878, 0.02097496949136257, 0.049459800124168396, 0.03497803956270218, 0.052254777401685715, 0.07153686136007309, 0.053529128432273865, 0.027740899473428726, 0.10207957774400711, 0.1148822084069252, 0.03678036481142044, 0.06888310611248016, 0.062344495207071304, 0.04379883036017418, 0.0038413978181779385 ], [ 0.23949894309043884, 0.24728834629058838, 0.24121636152267456, 0.20876361429691315, 0.023600811138749123, 0.0012608218239620328 ], [ 0.2217014878988266, 0.06093325838446617, 0.09925586730241776, 0.010621347464621067, 0.01444548275321722 ], [ 0.30041447281837463, 0.20221754908561707, 0.04004780203104019, 0.16290216147899628, 0.07395563274621964, 0.07151210308074951, 0.03518543764948845, 0.008949675597250462 ], [ 0.26793020963668823, 0.059862926602363586, 0.05526529625058174, 0.004907035268843174 ], [ 0.2498248815536499, 0.11801140755414963, 0.15358759462833405, 0.03921385109424591, 0.01516826543956995, 0.002189741935580969 ], [ 0.13053032755851746, 0.10567862540483475, 0.12701551616191864, 0.05040936917066574, 0.0232145544141531, 0.0036537714768201113, 0.11447491496801376, 0.43564462661743164, 0.5003317594528198, 0.17039217054843903, 0.1012616828083992, 0.3927667438983917, 0.13425742089748383, 0.04649386554956436, 0.9087334871292114, 0.19019636511802673, 0.30556219816207886, 0.1015007346868515, 0.0034565392415970564 ] ] }, { "q_id": "8192_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7338764071464539, 0.09349488466978073, 0.4712536334991455, 0.26170381903648376, 0.0038031786680221558 ], [ 0.12110631912946701, 0.48588937520980835, 0.11204858124256134, 0.4955581724643707, 0.2850724458694458, 0.05535315349698067, 0.020740272477269173 ], [ 0.16115625202655792, 0.31453344225883484, 0.3516637682914734, 0.03211177885532379, 0.2561604380607605, 0.7057822346687317, 0.13204516470432281, 0.062100235372781754, 0.011212654411792755 ], [ 0.8736026883125305, 0.09035445004701614, 0.21324922144412994, 0.16055810451507568, 0.667433500289917, 0.3126155734062195, 0.09324241429567337, 0.01179194264113903 ], [ 0.3373715281486511, 0.02312522381544113, 0.027390828356146812, 0.00930856540799141 ], [ 0.5259230136871338, 0.17632873356342316, 0.21881572902202606, 0.21889397501945496, 0.11949773132801056, 0.08081336319446564, 0.061831746250391006, 0.010584215633571148 ], [ 0.08404427766799927, 0.20866289734840393, 0.06480073183774948, 0.20850490033626556, 0.002939330879598856 ], [ 0.44730961322784424, 0.12774483859539032, 0.16070932149887085, 0.03831297159194946, 0.11093688011169434, 0.09529538452625275, 0.09811700880527496, 0.010612372308969498, 0.35097774863243103, 0.04085974767804146, 0.029323073104023933, 0.005481608211994171 ], [ 0.836449384689331, 0.27768659591674805, 0.1628139466047287, 0.046563249081373215, 0.07272322475910187, 0.55055832862854, 0.11875201761722565, 0.1859324723482132, 0.22814837098121643, 0.052279338240623474, 0.009446944110095501 ], [ 0.15023921430110931, 0.1767175942659378, 0.11908351629972458, 0.03666212409734726, 0.23573124408721924, 0.2920517921447754, 0.1409384161233902, 0.05086899176239967, 0.011679462157189846 ], [ 0.8408312797546387, 0.0936363935470581, 0.06531715393066406, 0.009609106928110123, 0.04351061210036278, 0.027729429304599762, 0.006535814609378576 ], [ 0.5833768844604492, 0.2193285971879959, 0.05616433918476105, 0.23563794791698456, 0.06169360876083374, 0.014017993584275246, 0.016923638060688972, 0.001887679798528552 ], [ 0.24230647087097168, 0.40527117252349854, 0.014717720448970795, 0.276710569858551, 0.0543866902589798, 0.6591106057167053, 0.4521440863609314, 0.18675145506858826, 0.06189492344856262, 0.047750137746334076, 0.03768449276685715, 0.03506047651171684, 0.007758949417620897, 0.0035230801440775394 ], [ 0.05837482213973999, 0.4580577313899994, 0.18468867242336273, 0.22728128731250763, 0.094145268201828, 0.0870109498500824, 0.0650923103094101, 0.01756180450320244 ] ] }, { "q_id": "8028_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7027058005332947, 0.7077078223228455, 0.01966606080532074, 0.026415228843688965, 0.01681940071284771, 0.006601153407245874 ], [ 0.12021421641111374, 0.9777845144271851, 0.0026912237517535686 ], [ 0.9031679630279541, 0.08537358790636063, 0.019275400787591934, 0.011219196021556854 ], [ 0.7801584601402283, 0.010058263316750526, 0.02728830836713314, 0.0048380387015640736, 0.01756434701383114 ], [ 0.2984858751296997, 0.6842782497406006, 0.03623344004154205, 0.006537746638059616 ], [ 0.33945512771606445, 0.7466151714324951, 0.7040694355964661, 0.5059852004051208, 0.9166342616081238, 0.05006999522447586 ], [ 0.1392451524734497, 0.03977378457784653, 0.01263908576220274 ], [ 0.816429853439331, 0.24791765213012695, 0.09949187189340591, 0.02482154592871666, 0.02572428621351719, 0.045255646109580994, 0.022546373307704926, 0.033494044095277786, 0.00953962653875351, 0.010608913376927376 ], [ 0.21992553770542145, 0.503490149974823, 0.14260677993297577, 0.017318377271294594, 0.007284883875399828 ], [ 0.8051108717918396, 0.714894711971283, 0.9917380213737488 ], [ 0.7123296856880188, 0.24315594136714935, 0.010507582686841488, 0.008410650305449963 ], [ 0.5707678198814392, 0.005073907319456339, 0.007480659522116184 ], [ 0.840092122554779, 0.21780149638652802, 0.042939893901348114, 0.007350855972617865 ], [ 0.022518381476402283, 0.008833708241581917 ], [ 0.8002727031707764, 0.5941206216812134, 0.8943800926208496, 0.7873839139938354, 0.9988358616828918 ], [ 0.031048836186528206, 0.0235917791724205, 0.017199141904711723, 0.016131918877363205 ] ] }, { "q_id": "8969_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.008665123954415321, 0.001129983109422028, 0.0005148624186404049 ], [ 0.40256381034851074, 0.014907834120094776, 0.0007041704375296831, 0.01352008618414402, 0.009793092496693134, 0.02589716762304306, 0.04509410634636879, 0.0323188491165638, 0.03342418372631073, 0.02159181982278824, 0.03249276801943779, 0.013037046417593956, 0.01396997645497322, 0.0008775602327659726 ], [ 0.24684454500675201, 0.10194665938615799, 0.0030038401018828154, 0.0005184028414078057 ], [ 0.08124437928199768, 0.0179885346442461, 0.028741907328367233, 0.01713518053293228, 0.11410962045192719, 0.09647232294082642, 0.08171147108078003, 0.07495371997356415, 0.30441150069236755, 0.34871065616607666, 0.9996917247772217 ], [ 0.011465484276413918, 0.01771194115281105, 0.06626385450363159, 0.005999729968607426, 0.1801563799381256, 0.08669184893369675, 0.14152508974075317, 0.5677030086517334, 0.9983416795730591, 0.999854326248169 ], [ 0.009694568812847137, 0.010480157099664211, 0.017143109813332558, 0.026572193950414658, 0.019655462354421616, 0.04602613300085068, 0.006382128223776817, 0.0007033739821054041 ], [ 0.27183178067207336, 0.02179703675210476, 0.06619346886873245, 0.012930694036185741, 0.10045431554317474, 0.018987208604812622, 0.002316073514521122, 0.0007193170604296029 ], [ 0.1369972974061966, 0.9988683462142944, 0.999779999256134 ], [ 0.05491365119814873, 0.03593766689300537, 0.037453509867191315, 0.05880673974752426, 0.005479367915540934, 0.016387222334742546, 0.01632343791425228, 0.019838847219944, 0.031462930142879486, 0.03175666555762291, 0.02351989969611168, 0.030856551602482796, 0.028069857507944107, 0.0189244095236063, 0.023781578987836838, 0.022959157824516296, 0.020510058850049973, 0.030224470421671867, 0.03187808394432068, 0.04145671799778938, 0.032158996909856796, 0.04439395293593407, 0.048067670315504074, 0.03445856273174286, 0.04219044744968414, 0.04573099687695503, 0.037186674773693085, 0.05141683667898178, 0.881531298160553, 0.9995248317718506 ], [ 0.021589823067188263, 0.0829174667596817, 0.06646964699029922, 0.9978534579277039, 0.9997732043266296 ], [ 0.3818545341491699, 0.11858197301626205, 0.015624554827809334, 0.03125417232513428, 0.13932906091213226, 0.9988541603088379, 0.9997943043708801 ], [ 0.10443784296512604, 0.0665711760520935, 0.020546196028590202, 0.043325938284397125, 0.02812148630619049, 0.03553462028503418, 0.04252538084983826, 0.004574589431285858, 0.0009181139757856727 ], [ 0.38462260365486145, 0.02053934335708618, 0.07704626768827438, 0.9884902238845825, 0.7847630977630615, 0.8646498322486877, 0.9971355199813843, 0.9997128844261169 ], [ 0.0052885208278894424, 0.003323481185361743, 0.008909531868994236, 0.06760347634553909, 0.023701617494225502, 0.005753128789365292, 0.000651247042696923 ], [ 0.031076349318027496, 0.014096002094447613, 0.05548823997378349, 0.0500851646065712, 0.06549860537052155, 0.006690144073218107, 0.9799228310585022, 0.9994874000549316 ], [ 0.07314173877239227, 0.049250394105911255, 0.9817848205566406, 0.9995504021644592, 0.9995900988578796 ] ] }, { "q_id": "8080_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.052146319299936295, 0.24047940969467163, 0.01962902769446373 ], [ 0.14368973672389984, 0.11452902108430862 ], [ 0.1092953011393547, 0.16790786385536194, 0.2536502480506897, 0.14662937819957733, 0.14739888906478882, 0.021375350654125214, 0.05058419704437256, 0.06080073490738869, 0.07138128578662872, 0.04766876995563507, 0.08910545706748962, 0.016733376309275627 ], [ 0.26808109879493713, 0.22067725658416748, 0.04341624677181244, 0.1236819252371788, 0.027971962466835976, 0.04913872480392456, 0.03888554871082306, 0.057847488671541214, 0.015798894688487053 ], [ 0.09931270778179169, 0.01120537519454956, 0.07363847643136978, 0.16923123598098755, 0.11800698190927505, 0.08677222579717636, 0.3005022704601288, 0.14068585634231567, 0.18076004087924957, 0.06208424270153046, 0.1034754142165184, 0.08502879738807678, 0.07206796109676361, 0.11118168383836746, 0.11207572370767593, 0.12932239472866058, 0.126401886343956, 0.3599454164505005, 0.10241945832967758, 0.1587781012058258, 0.0868338793516159, 0.07201357930898666, 0.04805023968219757, 0.05138278007507324 ], [ 0.44262945652008057, 0.220244899392128, 0.22552254796028137, 0.04547698795795441, 0.08774378150701523, 0.02395973913371563 ], [ 0.14978812634944916, 0.06439950317144394, 0.013075596652925014, 0.03076932020485401, 0.059399232268333435, 0.08396092057228088, 0.08331843465566635, 0.03423091396689415, 0.12801915407180786, 0.14299049973487854, 0.07148329168558121, 0.06986530125141144, 0.000994348549284041, 0.07970768958330154, 0.08707574754953384, 0.027845287695527077, 0.09620075672864914, 0.1914585828781128, 0.16621620953083038, 0.07135812938213348, 0.1677657514810562, 0.29654550552368164, 0.11116202175617218, 0.10161425918340683, 0.051396097987890244, 0.09753897041082382, 0.15793374180793762, 0.10921362787485123, 0.16594959795475006, 0.07957030087709427, 0.07920923829078674, 0.05791017413139343, 0.0687556192278862, 0.04208144173026085, 0.11180482059717178, 0.10379115492105484, 0.1635340452194214, 0.06596203148365021, 0.10220980644226074, 0.09445400536060333, 0.08351826667785645, 0.0877595916390419, 0.08075609803199768, 0.07231660932302475, 0.027346385642886162 ], [ 0.144426167011261, 0.22515612840652466, 0.37299755215644836, 0.5722768306732178, 0.41963738203048706, 0.11005023866891861, 0.05125502869486809, 0.04535747319459915, 0.12242579460144043, 0.051522668451070786, 0.021436400711536407 ], [ 0.050160039216279984, 0.21904630959033966, 0.1162014827132225, 0.17713354527950287, 0.17275336384773254, 0.09839101880788803, 0.027633635327219963 ], [ 0.24212321639060974, 0.2521671950817108, 0.09341530501842499, 0.07997655123472214, 0.06893731653690338, 0.07941530644893646, 0.08144338428974152, 0.0914410725235939, 0.14630283415317535, 0.02011529542505741 ], [ 0.09567126631736755, 0.07679150253534317, 0.0855003371834755 ], [ 0.4892744719982147, 0.1459091305732727, 0.00303476070985198, 0.3603686988353729, 0.21217463910579681, 0.07413577288389206, 0.0729069709777832, 0.07382214814424515, 0.07799606770277023, 0.0840514525771141, 0.07378662377595901, 0.03838639333844185, 0.07070013135671616, 0.04723803699016571, 0.05092855542898178, 0.019861949607729912 ], [ 0.024601619690656662, 0.08456005156040192, 0.2025463730096817, 0.2321738451719284, 0.1452752649784088, 0.0840906947851181, 0.04910352826118469, 0.1326793134212494, 0.1297157108783722, 0.08411923795938492, 0.016536526381969452 ], [ 0.4445096552371979, 0.10768584907054901, 0.07357582449913025, 0.12042629718780518, 0.07545040547847748, 0.0006995418225415051, 0.1037474274635315, 0.05431000515818596, 0.023884691298007965 ], [ 0.04095974937081337, 0.40361014008522034, 0.30609825253486633, 0.051495686173439026, 0.027453867718577385, 0.14597849547863007, 0.06493135541677475, 0.02270936220884323 ], [ 0.2220049947500229, 0.018701590597629547, 0.011181521229445934, 0.04515669494867325, 0.09386094659566879, 0.15823328495025635, 0.1196824312210083, 0.09967979043722153, 0.10166732966899872, 0.14631760120391846, 0.22646388411521912, 0.07438825815916061, 0.09070929139852524, 0.016323290765285492 ] ] }, { "q_id": "8273_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.013682552613317966, 0.07796593010425568, 0.021199626848101616, 0.028448378667235374, 0.028898203745484352, 0.06851214170455933, 0.18714144825935364, 0.07280384749174118, 0.005691173952072859, 0.003306403523311019, 0.028914937749505043, 0.16631680727005005, 0.14431801438331604, 0.24060508608818054, 0.023109974339604378, 0.10157647728919983, 0.038312628865242004, 0.05790279060602188, 0.01313277892768383, 0.00364109524525702, 0.03765647113323212, 0.09684525430202484, 0.1605793833732605, 0.09984933584928513, 0.17981281876564026, 0.3009570837020874, 0.15540866553783417, 0.13481079041957855, 0.5986167192459106, 0.020249392837285995, 0.0020506654400378466 ], [ 0.01420948188751936, 0.02094271034002304, 0.10577614605426788, 0.05989240109920502, 0.023330487310886383, 0.0024466782342642546 ], [ 0.033007070422172546, 0.03264755383133888, 0.04925854876637459, 0.19596587121486664, 0.06688261777162552, 0.06952573359012604, 0.050983138382434845, 0.04314856231212616, 0.0035165860317647457 ], [ 0.029245497658848763, 0.051905952394008636, 0.09120946377515793, 0.1241583526134491, 0.07798303663730621, 0.0525304339826107, 0.027132757008075714, 0.007778048515319824, 0.0009011153015308082, 0.002397003350779414, 0.045937713235616684, 0.036882635205984116, 0.10245899856090546, 0.03726645186543465, 0.009185736067593098 ], [ 0.015214377082884312, 0.017337912693619728, 0.028732268139719963, 0.07734505832195282, 0.27006521821022034, 0.3298669457435608, 0.34025895595550537, 0.025246696546673775, 0.148666650056839, 0.0029656626284122467 ], [ 0.0599653385579586, 0.02573963813483715, 0.04616565257310867, 0.03395528718829155, 0.08442841470241547, 0.022459041327238083, 0.0013276677345857024 ], [ 0.13169389963150024, 0.016144122928380966, 0.05061759799718857, 0.08165949583053589, 0.08948225528001785, 0.11073650419712067, 0.08196565508842468, 0.3337666690349579, 0.0025487341918051243 ], [ 0.02017541415989399, 0.06536196917295456, 0.03805380314588547, 0.004311220720410347 ], [ 0.09783048927783966, 0.00011108048056485131, 0.04062517359852791, 0.11622866988182068, 0.01703633926808834, 0.0014987285248935223 ], [ 0.042159128934144974, 0.04224260151386261, 0.03556760028004646, 0.012178697623312473, 0.003349420614540577 ], [ 0.012852882966399193, 0.025026360526680946, 0.04321996495127678, 0.03995344042778015, 0.025881115347146988, 0.003377324901521206 ], [ 0.05211825668811798, 0.05627938359975815, 0.0015132164116948843 ], [ 0.012680558487772942, 0.024161629378795624, 0.03950665146112442, 0.022893980145454407, 0.002439861884340644 ], [ 0.08449158072471619, 0.04241443797945976, 0.03250953182578087, 0.014311185106635094, 0.0020436979830265045 ], [ 0.11407525837421417, 0.06350637972354889, 0.018277835100889206, 0.04388466477394104, 0.09019753336906433, 0.0017844168469309807 ], [ 0.05204363167285919, 0.003480619750916958, 0.08044042438268661, 0.2920570969581604, 0.029444925487041473, 0.012105767615139484 ] ] }, { "q_id": "7781_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7485570311546326, 0.12877674400806427, 0.086007259786129, 0.09446709603071213, 0.006541644223034382, 0.06337367743253708, 0.007405278272926807, 0.0012344816932454705 ], [ 0.19612954556941986, 0.09076078981161118, 0.02301722578704357, 0.00046831672079861164 ], [ 0.047662682831287384, 0.17719455063343048, 0.1045469418168068, 0.9980942606925964, 0.999840259552002 ], [ 0.3364947736263275, 0.05168289318680763, 0.04721619561314583, 0.07748188823461533, 0.998458743095398, 0.9998726844787598 ], [ 0.6652852892875671, 0.11187227815389633, 0.013033757917582989, 0.01935744844377041, 0.012678666040301323, 0.0016614743508398533, 0.008847618475556374, 0.0014543038560077548 ], [ 0.08566761761903763, 0.050827544182538986, 0.0637701153755188, 0.00619922112673521, 0.0009518367005512118 ], [ 0.07280214130878448, 0.06111443042755127, 0.10816990584135056, 0.0003852424561046064 ], [ 0.10302998125553131, 0.05459415912628174, 0.0003417264379095286 ], [ 0.3592887222766876, 0.02180161513388157, 0.040870942175388336, 0.04908358305692673, 0.024543888866901398, 0.025616297498345375, 0.021707452833652496, 0.0018790048779919744, 0.0008549689664505422 ], [ 0.07875408232212067, 0.06517079472541809, 0.0005401590024121106 ], [ 0.09860590845346451, 0.019073182716965675, 0.027285942807793617, 0.01987212710082531, 0.02133849635720253, 0.017226342111825943, 0.014311312697827816, 0.0008731034467928112 ], [ 0.09950640052556992, 0.034922584891319275, 0.08276128023862839, 0.005184479523450136, 0.0686197355389595, 0.08152900636196136, 0.002652866533026099, 0.0866846814751625, 0.03550172597169876, 0.008119195699691772, 0.03202188014984131, 0.020874779671430588, 0.011201388202607632, 0.004702363163232803, 0.001978777814656496, 0.0009459375287406147 ], [ 0.08508166670799255, 0.013871265575289726, 0.016872946172952652, 0.002995217451825738, 0.0008339702035300434 ], [ 0.001722640241496265, 0.0009657826158218086 ], [ 0.7580691576004028, 0.06751879304647446, 0.025282196700572968, 0.03194494917988777, 0.011019852012395859, 0.02460608258843422, 0.017519354820251465, 0.033233147114515305, 0.0783490240573883, 0.03904072567820549, 0.037852704524993896, 0.001100351451896131 ], [ 0.1793832629919052, 0.0019096332835033536, 0.0010198346571996808 ] ] }, { "q_id": "8597_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.1437109112739563, 0.13450057804584503, 0.13403674960136414, 0.8531253337860107, 0.9587303996086121, 0.9990731477737427, 0.9998095631599426 ], [ 0.9822400212287903, 0.9503437280654907, 0.9097498655319214 ], [ 0.9951592087745667, 0.9990859031677246, 0.9997014403343201 ], [ 0.2506704330444336, 0.1370759904384613, 0.826149582862854, 0.9724282026290894, 0.999206006526947, 0.9998132586479187 ], [ 0.485606849193573, 0.4716084897518158, 0.8823742866516113, 0.9512726068496704, 0.9991233944892883, 0.9997650980949402 ], [ 0.9774388670921326, 0.9739036560058594, 0.9987311959266663, 0.9996209144592285 ], [ 0.3610863983631134, 0.9848527312278748, 0.9992419481277466, 0.9997944235801697 ], [ 0.2862253785133362, 0.2762128710746765, 0.9207952618598938, 0.9639093279838562, 0.999118983745575, 0.9997792840003967 ], [ 0.26959770917892456, 0.9055917859077454, 0.9705337882041931, 0.9993059635162354, 0.9998195767402649 ], [ 0.28667202591896057, 0.19348207116127014, 0.8947505950927734, 0.9560539722442627, 0.9994521737098694, 0.9998607635498047 ], [ 0.9964771866798401, 0.9983571171760559, 0.9994113445281982 ], [ 0.973448634147644, 0.9223408699035645, 0.9733134508132935 ], [ 0.9921669960021973, 0.9752905964851379, 0.9992167949676514, 0.9997923970222473 ], [ 0.16566284000873566, 0.14546270668506622, 0.5775582194328308, 0.9437199831008911, 0.9994032382965088, 0.9998410940170288 ], [ 0.33849403262138367, 0.930338978767395, 0.9570829272270203, 0.9991118311882019, 0.9997672438621521 ], [ 0.25067177414894104, 0.4980607330799103, 0.7925000190734863, 0.9535987377166748, 0.9991555213928223, 0.9997989535331726 ] ] }, { "q_id": "8054_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.19116999208927155, 0.042249321937561035, 0.009081440046429634 ], [ 0.03388600051403046, 0.04536307230591774, 0.24284860491752625, 0.10603255778551102, 0.04454364255070686, 0.0673583596944809, 0.03282535821199417, 0.08369771391153336, 0.011365406215190887, 0.10127487778663635, 0.3287053108215332, 0.2168319821357727, 0.05976792052388191 ], [ 0.051886506378650665, 0.010279138572514057 ], [ 0.13678447902202606, 0.024748967960476875, 0.05220687761902809, 0.055457763373851776, 0.06292229145765305, 0.0922691747546196, 0.044763438403606415, 0.0918198674917221, 0.3368135690689087 ], [ 0.0508854053914547, 0.07040933519601822, 0.184310644865036, 0.18793398141860962, 0.018109384924173355, 0.0590503104031086, 0.019114520400762558, 0.16801460087299347, 0.1352192461490631, 0.1184142529964447, 0.14484688639640808, 0.07738008350133896, 0.10893694311380386, 0.05378517881035805, 0.19665521383285522, 0.027614014223217964, 0.04439211264252663, 0.04025883227586746, 0.0874602347612381 ], [ 0.26703542470932007, 0.1424880027770996, 0.22792214155197144, 0.09898919612169266, 0.009113749489188194, 0.02839219570159912, 0.016687121242284775 ], [ 0.3235105276107788, 0.03814634680747986, 0.19561982154846191, 0.04253597930073738, 0.07937599718570709, 0.10181679576635361, 0.11849044263362885, 0.07523036003112793, 0.031046858057379723, 0.06120887026190758, 0.03753943741321564, 0.10467761754989624, 0.061956118792295456, 0.06683801859617233, 0.0695105567574501, 0.12613756954669952, 0.05137109011411667, 0.0717470720410347, 0.01742992177605629 ], [ 0.044647928327322006, 0.795806348323822 ], [ 0.5168454051017761, 0.014427544549107552, 0.028055721893906593, 0.13451045751571655, 0.02375541254878044, 0.04262279346585274, 0.016140040010213852, 0.0027047854382544756 ], [ 0.03366728127002716, 0.06489856541156769, 0.21302548050880432, 0.02282051369547844, 0.14670898020267487, 0.05062735825777054, 0.537852942943573, 0.009280276484787464 ], [ 0.030600404366850853, 0.02664770931005478, 0.020300019532442093, 0.02500743791460991, 0.011734691448509693 ], [ 0.13706518709659576, 0.08224254101514816, 0.13613082468509674, 0.9461154937744141, 0.9434902667999268 ], [ 0.07833270728588104, 0.1264020949602127, 0.1392177790403366, 0.06903915852308273, 0.03614650294184685, 0.08083543181419373, 0.011472987942397594, 0.17220079898834229, 0.06347068399190903, 0.056408558040857315, 0.0642441064119339, 0.04803530126810074, 0.06595489382743835, 0.030698494985699654 ], [ 0.5548017621040344, 0.22007936239242554, 0.14210964739322662, 0.1265840232372284, 0.1329195648431778, 0.0748770609498024, 0.06783325970172882, 0.027350613847374916, 0.025474615395069122 ], [ 0.02944762073457241, 0.06286446005105972, 0.057487133890390396, 0.08530048280954361, 0.057294026017189026, 0.028697466477751732, 0.00893319956958294 ], [ 0.035837963223457336, 0.11325010657310486, 0.24815456569194794, 0.04172933101654053, 0.19560714066028595, 0.11882176250219345, 0.20615912973880768, 0.020594008266925812, 0.048582810908555984, 0.32672449946403503, 0.17320863902568817 ] ] }, { "q_id": "8916_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6312079429626465, 0.4271010458469391, 0.06947414577007294, 0.019752200692892075, 0.04125288128852844, 0.10362827032804489, 0.06512775272130966, 0.048556964844465256, 0.0656181126832962, 0.08545314520597458, 0.010544104501605034 ], [ 0.21646395325660706, 0.3955043852329254, 0.00972183607518673 ], [ 0.28320953249931335, 0.33859261870384216, 0.1435672640800476, 0.12236858159303665, 0.43289610743522644, 0.05622105672955513, 0.009276722557842731, 0.08972638100385666, 0.12741148471832275, 0.057279426604509354 ], [ 0.021121473982930183, 0.014636754989624023, 0.008023735135793686, 0.017678797245025635, 0.0028739224653691053 ], [ 0.1755647212266922, 0.009312831796705723, 0.12489329278469086, 0.3501332700252533, 0.022059055045247078, 0.1226545050740242, 0.12628503143787384, 0.5116701722145081, 0.006221752148121595, 0.03869098052382469, 0.15473102033138275, 0.3322032690048218, 0.5703901648521423, 0.05229325592517853 ], [ 0.16224680840969086, 0.1329352706670761, 0.07528193295001984, 0.2901496887207031, 0.16086992621421814, 0.012596799060702324, 0.012482368387281895, 0.03719498589634895, 0.32114410400390625, 0.029311293736100197, 0.3127569854259491, 0.0014476038049906492, 0.6498420238494873, 0.0010698949918150902, 0.08457152545452118, 0.017432043328881264, 0.07259585708379745, 0.09368322789669037, 0.16360406577587128, 0.21960566937923431, 0.008396374993026257 ], [ 0.21835309267044067, 0.0870070829987526, 0.04795803874731064, 0.15567965805530548, 0.05588957667350769, 0.0026861464139074087 ], [ 0.24890020489692688, 0.011007148772478104, 0.06352050602436066, 0.2779879570007324, 0.08392003178596497, 0.0033173286356031895, 0.06097365543246269, 0.04717521741986275, 0.1968386471271515, 0.12451407313346863, 0.09306468069553375, 0.26117584109306335, 0.01798524148762226 ], [ 0.16839642822742462, 0.23080822825431824, 0.4433788061141968, 0.03916163742542267, 0.10922916978597641, 0.06614775955677032, 0.10539180785417557, 0.018336381763219833 ], [ 0.5176067352294922, 0.2012002021074295, 0.21260057389736176, 0.41783520579338074, 0.0809844583272934, 0.04537864029407501, 0.07809034734964371, 0.05626973882317543, 0.19314077496528625, 0.09443707764148712, 0.03623472526669502, 0.040773555636405945, 0.004220217932015657 ], [ 0.07578025013208389, 0.4647728502750397, 0.1757184863090515, 0.006309753283858299, 0.0009177378378808498, 0.21823261678218842, 0.02095874212682247, 0.0701722502708435, 0.08426861464977264, 0.007592035457491875 ], [ 0.0347452238202095, 0.4007736146450043, 0.01017281599342823, 0.12054812163114548, 0.04109206050634384, 0.001853768597356975, 0.16888508200645447, 0.10043054074048996, 0.06043147295713425, 0.012757902033627033 ], [ 0.1992599219083786, 0.061033740639686584, 0.2728702127933502, 0.15386949479579926, 0.16806527972221375, 0.002426708582788706, 0.027993112802505493, 0.2388213872909546, 0.0781298279762268, 0.04745323956012726, 0.1132875457406044, 0.18344071507453918, 0.05913090705871582, 0.17109054327011108, 0.09263245761394501, 0.12560291588306427, 0.08098840713500977, 0.09272768348455429, 0.05059918016195297, 0.04135296866297722 ], [ 0.15937794744968414, 0.16184768080711365, 0.018241966143250465 ], [ 0.061714235693216324, 0.08009592443704605, 0.15100200474262238, 0.08996856957674026, 0.04773062840104103, 0.06478623300790787, 0.0967225432395935, 0.014466332271695137 ], [ 0.1264447420835495, 0.003554136259481311, 0.023777518421411514, 0.31673362851142883, 0.12929920852184296, 0.0006671026931144297, 0.030116140842437744, 0.039531007409095764, 0.22003573179244995, 0.00454931054264307, 0.0584786981344223, 0.04531902074813843, 0.06937307119369507, 0.1814408153295517, 0.056709229946136475, 0.06920693069696426, 0.07977238297462463, 0.08000743389129639, 0.013013004325330257 ] ] }, { "q_id": "7993_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.24504750967025757, 0.050511810928583145, 0.04673547297716141, 0.0529024712741375, 0.04648027941584587, 0.1672794371843338, 0.05750343203544617, 0.0861520916223526, 0.0299381110817194, 0.0363294743001461, 0.04041493311524391, 0.09650520980358124, 0.03330334275960922, 0.0124020054936409, 0.009645428508520126, 0.004347551614046097, 0.00047444301890209317 ], [ 0.2680061459541321, 0.026654833927750587, 0.04240872710943222, 0.031882353127002716, 0.007467058952897787, 0.0005669667152687907 ], [ 0.26728489995002747, 0.24678480625152588, 0.17956168949604034, 0.673656702041626, 0.05244133621454239, 0.9864538311958313, 0.9996587038040161 ], [ 0.6331670880317688, 0.016786858439445496, 0.09103250503540039, 0.04718152433633804, 0.08121110498905182, 0.0037746478337794542, 0.04167715832591057, 0.012019826099276543, 0.034994348883628845, 0.021740267053246498, 0.9865381717681885, 0.9996629953384399 ], [ 0.032215144485235214, 0.03290318325161934, 0.14226679503917694, 0.14298442006111145, 0.050760798156261444, 0.009515134617686272, 0.0010677120881155133 ], [ 0.86458820104599, 0.11231182515621185, 0.14683111011981964, 0.1905355453491211, 0.01702786795794964, 0.00939146801829338, 0.28045180439949036, 0.9987847208976746 ], [ 0.26728329062461853, 0.19665777683258057, 0.13935501873493195, 0.18357354402542114, 0.1160663366317749, 0.9934667944908142, 0.9997169375419617 ], [ 0.050928205251693726, 0.1948835253715515, 0.24419276416301727, 0.06937617808580399, 0.003237323137000203, 0.07801308482885361, 0.07584956288337708, 0.0515265129506588, 0.10521260648965836, 0.09175436198711395, 0.9682245254516602, 0.9997548460960388 ], [ 0.1803499311208725, 0.031103497371077538, 0.050415828824043274, 0.027631288394331932, 0.055226970463991165, 0.015265379101037979, 0.9932223558425903, 0.9997449517250061 ], [ 0.2581481635570526, 0.021225063130259514, 0.09984153509140015, 0.018334385007619858, 0.03492799773812294, 0.3885685205459595, 0.011035578325390816, 0.00044237170368433 ], [ 0.22892236709594727, 0.21930813789367676, 0.007278127130120993, 0.04507981985807419, 0.9858545660972595, 0.9996861219406128 ], [ 0.07038726657629013, 0.33753666281700134, 0.18664386868476868, 0.022680947557091713, 0.14870667457580566, 0.06386614590883255, 0.07082586735486984, 0.11929146945476532, 0.03959484398365021, 0.08592595160007477, 0.010879484005272388, 0.9839848875999451, 0.9996340274810791 ], [ 0.18200212717056274, 0.009894667193293571, 0.00042726469109766185 ], [ 0.6998335123062134, 0.0619792565703392, 0.9706056714057922, 0.9996869564056396 ], [ 0.7271228432655334, 0.6078483462333679, 0.8920555710792542, 0.9925466179847717, 0.9997770190238953 ], [ 0.03671225905418396, 0.16357815265655518, 0.14960786700248718, 0.8783382177352905, 0.1613646298646927, 0.0402064248919487, 0.9746993780136108, 0.9995577931404114 ] ] }, { "q_id": "7727_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.15715137124061584, 0.006578194908797741, 0.08147873729467392, 0.028801172971725464, 0.020357510074973106, 0.008649315685033798, 0.10005175322294235, 0.03492971882224083, 0.018695177510380745, 0.147450789809227, 0.11497029662132263, 0.7000187039375305, 0.010229760780930519 ], [ 0.8545821905136108, 0.0037453104741871357 ], [ 0.23235724866390228, 0.0033800837118178606 ], [ 0.005988115444779396, 0.002776713576167822, 0.006596742197871208, 0.10340174287557602, 0.008598686195909977, 0.8772431015968323, 0.9928608536720276 ], [ 0.660400390625, 0.22418871521949768, 0.3224843144416809, 0.13430237770080566, 0.007783231791108847 ], [ 0.6275376081466675, 0.09560173004865646, 0.41676822304725647, 0.005879613105207682 ], [ 0.023884927853941917, 0.3243143856525421, 0.040554169565439224, 0.02870636247098446, 0.035928647965192795, 0.12267298251390457, 0.13478553295135498, 0.04683695361018181, 0.17899470031261444, 0.14721566438674927, 0.9859424233436584, 0.0046403175219893456 ], [ 0.9945042133331299, 0.9980276226997375 ], [ 0.09922006726264954, 0.005011992063373327 ], [ 0.9972680807113647, 0.9981569647789001 ], [ 0.030774297192692757, 0.475577712059021, 0.003461225423961878 ], [ 0.12213504314422607, 0.01263680774718523, 0.018583228811621666, 0.026347266510128975, 0.016563652083277702, 0.02421470731496811, 0.05378216505050659, 0.013967566192150116, 0.025102319195866585, 0.042396508157253265, 0.9956389665603638, 0.9982926249504089 ], [ 0.7232151627540588, 0.0773376077413559, 0.004654981661587954 ], [ 0.5411890149116516, 0.700010359287262, 0.0034296298399567604 ], [ 0.5501593351364136, 0.8697406053543091, 0.0032773923594504595 ], [ 0.16436663269996643, 0.025113778188824654, 0.02300151064991951, 0.021736575290560722, 0.012990780174732208, 0.019023088738322258, 0.0022010155953466892 ] ] }, { "q_id": "8936_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14 ], "rewards": [ [ 0.07339052110910416, 0.02060304954648018 ], [ 0.21586598455905914, 0.00829151552170515, 0.03549310937523842, 0.08679134398698807, 0.20584553480148315, 0.058290742337703705, 0.1425151377916336, 0.14130282402038574, 0.18171748518943787, 0.0850319117307663, 0.01939634419977665 ], [ 0.056864846497774124, 0.07247107475996017, 0.016358764842152596 ], [ 0.1577642410993576, 0.1142844557762146, 0.11687244474887848, 0.07104767858982086 ], [ 0.15769904851913452, 0.09488794952630997, 0.07763753086328506, 0.006677329074591398, 0.04265196993947029, 0.13148248195648193, 0.09465105086565018, 0.10331274569034576, 0.11645667254924774, 0.08221583813428879, 0.04697146266698837, 0.08091536909341812, 0.20746548473834991, 0.08187180757522583, 0.07349934428930283, 0.07409776002168655, 0.06108614802360535, 0.09972339868545532, 0.09471314400434494, 0.101924829185009, 0.11950624734163284, 0.05204474553465843, 0.062000878155231476, 0.15573331713676453, 0.11515115201473236, 0.08805842697620392, 0.09323075413703918, 0.3033005893230438, 0.12824629247188568, 0.02494840882718563 ], [ 0.09155391901731491, 0.08923287689685822 ], [ 0.03409061208367348, 0.04105232656002045, 0.08724719285964966, 0.06483116745948792, 0.057145167142152786, 0.10999993979930878 ], [ 0.14283472299575806, 0.11031647026538849, 0.03274872526526451, 0.1540471911430359, 0.1156851127743721, 0.016179561614990234, 0.048342566937208176, 0.029533056542277336, 0.47269773483276367, 0.18287023901939392, 0.006640021223574877, 0.15414389967918396, 0.002032479038462043, 0.01680530048906803, 0.10559839010238647, 0.0319327674806118, 0.10263185203075409, 0.1339273899793625, 0.06180102378129959, 0.009146880358457565, 0.22784997522830963, 0.15458840131759644, 0.03002571314573288, 0.05280059203505516, 0.08345215022563934, 0.10055401921272278, 0.07525072246789932, 0.06306017190217972, 0.23369969427585602, 0.009636500850319862, 0.1574067771434784, 0.04204743355512619, 0.06410183757543564 ], [ 0.560384213924408, 0.022034168243408203, 0.02631090022623539, 0.3270590305328369, 0.0504470020532608, 0.03416585549712181, 0.11189529299736023, 0.0791088342666626, 0.06791552156209946, 0.11410421133041382, 0.09909199178218842, 0.061561111360788345, 0.05679923668503761, 0.05497300252318382, 0.11415893584489822, 0.07048352062702179, 0.012530888430774212, 0.06436153501272202, 0.028071001172065735, 0.10453144460916519, 0.05934551730751991, 0.17063497006893158, 0.004579117055982351, 0.1265391707420349, 0.01960204914212227, 0.0679084062576294, 0.06546329706907272, 0.12134318798780441, 0.16960012912750244, 0.24561536312103271, 0.0056021311320364475, 0.12846453487873077, 0.10141918808221817, 0.039712078869342804 ], [ 0.04233137518167496, 0.020171061158180237 ], [ 0.07427279651165009, 0.03978203237056732, 0.21810856461524963, 0.11156134307384491, 0.11064192652702332, 0.10101121664047241, 0.09120931476354599, 0.014994725584983826, 0.13461779057979584, 0.0940852165222168, 0.09240478277206421, 0.04411233216524124, 0.10142093151807785, 0.061636827886104584, 0.4494501054286957, 0.09565678238868713, 0.13380534946918488, 0.09119579195976257, 0.20947962999343872, 0.13474801182746887, 0.1307038813829422, 0.13878566026687622, 0.20966684818267822, 0.16870008409023285, 0.1522061824798584, 0.06396591663360596, 0.1166076809167862, 0.20778822898864746, 0.015338800847530365 ], [ 0.04420483112335205, 0.09486035257577896, 0.07499304413795471 ], [ 0.23308967053890228, 0.4112469553947449, 0.013334561139345169, 0.051601342856884, 0.013132959604263306, 0.09492504596710205, 0.0461462065577507, 0.0014918333617970347, 0.16472788155078888, 0.002754652639850974, 0.11794303357601166, 0.006209369748830795, 0.1581043154001236, 0.06983286142349243, 0.0011593677336350083, 0.05888235196471214, 0.0840563252568245, 0.06983059644699097, 0.09982028603553772, 0.004283849149942398, 0.05007040128111839, 0.002226036274805665, 0.10272349417209625, 0.0037267033476382494, 0.15862439572811127, 0.0036663287319242954, 0.1636592149734497, 0.08863399177789688, 0.0027342841494828463, 0.13053308427333832, 0.004134474787861109, 0.05091145634651184, 0.025580791756510735, 0.14620982110500336, 0.01063339039683342, 0.132340669631958, 0.03521990031003952, 0.06696029007434845, 0.03142653405666351, 0.1521936058998108, 0.03574572876095772, 0.22650547325611115, 0.025750605389475822, 0.0905374065041542, 0.0387859083712101, 0.18011245131492615, 0.022119993343949318, 0.13952375948429108, 0.002535247476771474, 0.12213188409805298, 0.013257304206490517, 0.3194151818752289, 0.011041669175028801, 0.12478837370872498, 0.02546047605574131, 0.12178552150726318, 0.1276150345802307, 0.12432536482810974, 0.02307809330523014, 0.2002224326133728, 0.017530135810375214, 0.34130582213401794, 0.021353844553232193, 0.20981115102767944, 0.017631078138947487, 0.03792966529726982, 0.03212194889783859, 0.21345962584018707, 0.0072424705140292645, 0.15076223015785217, 0.04427451267838478, 0.28554975986480713, 0.0075689805671572685, 0.2698873281478882, 0.048428718000650406, 0.10911721736192703, 0.11490552872419357, 0.055814068764448166, 0.01707311160862446, 0.04454997926950455, 0.1494469940662384, 0.21486568450927734, 0.2682006061077118, 0.24510698020458221, 0.0018034289823845029, 0.030824489891529083, 0.00742777856066823, 0.08776138722896576, 0.15283484756946564, 0.13190527260303497, 0.20153838396072388, 0.040036655962467194, 0.16665931046009064, 0.030791383236646652, 0.08703763037919998, 0.09692686051130295, 0.11865086853504181, 0.04603731632232666, 0.13409338891506195, 0.01847904361784458, 0.2853797376155853, 0.03157484903931618, 0.37042978405952454, 0.02746720239520073, 0.3115711510181427, 0.020630626007914543, 0.22623701393604279, 0.0588865727186203, 0.13377009332180023, 0.04999833181500435, 0.3315931558609009, 0.0856199711561203, 0.1718166172504425, 0.02720560133457184, 0.37947988510131836, 0.029368139803409576, 0.19799813628196716, 0.17692171037197113, 0.26043134927749634, 0.2724471390247345, 0.02035963162779808, 0.12080106139183044, 0.05242454260587692, 0.15902331471443176, 0.23645631968975067, 0.19061344861984253, 0.2711943984031677, 0.10409391671419144, 0.2540537118911743, 0.08134138584136963, 0.116576187312603, 0.16918344795703888, 0.13153786957263947, 0.04563804343342781, 0.10826639831066132, 0.05029039829969406, 0.1490752100944519, 0.04081200808286667, 0.12491967529058456, 0.7670269012451172, 0.07156185805797577, 0.23340009152889252, 0.000438952847616747, 0.04764171689748764, 0.30719855427742004, 0.015415576286613941, 0.09405267238616943, 0.0060203904286026955, 0.05669637769460678, 0.09700820595026016, 0.11726907640695572, 0.12041223794221878, 0.10372176766395569, 0.13873527944087982, 0.16947968304157257, 0.022319907322525978, 0.10228925198316574, 0.13077625632286072, 0.0689014345407486, 0.059885427355766296, 0.05771118029952049, 0.07434795051813126, 0.13562631607055664, 0.0284954272210598, 0.05975085496902466, 0.013077626004815102, 0.036601051688194275, 0.0004951902665197849, 0.01973583735525608, 0.3893206715583801, 0.00667810020968318, 0.08643297851085663, 0.004802654962986708, 0.05726910009980202, 0.18283823132514954, 0.17579258978366852, 0.27422723174095154, 0.12655486166477203, 0.14302514493465424, 0.31862056255340576, 0.07425381243228912, 0.21613171696662903, 0.1400030255317688, 0.10150870680809021, 0.04403527081012726, 0.11015007644891739, 0.0817842036485672, 0.06287683546543121, 0.1337123066186905, 0.015980636700987816, 0.11370909214019775, 0.03817939758300781, 0.00045865686843171716, 0.014579263515770435, 0.28545480966567993, 0.0067061493173241615, 0.08617819100618362, 0.0050506298430264, 0.043519169092178345, 0.14304782450199127, 0.10778255760669708, 0.2594146430492401, 0.10635875165462494, 0.10317108035087585, 0.27942612767219543, 0.1100299134850502, 0.08536113798618317, 0.0392666831612587, 0.06768540292978287, 0.0004603287670761347, 0.2732813060283661, 0.0012151377741247416, 0.17719948291778564, 0.09219668060541153, 0.15958160161972046, 0.011881296522915363, 0.02469569258391857, 0.000508008582983166, 0.22288526594638824, 0.015563484281301498, 0.18936710059642792, 0.08673739433288574, 0.11916117370128632, 0.023567473515868187, 0.02988390065729618, 0.0008943953434936702, 0.029410019516944885, 0.0032317517325282097, 0.21791884303092957, 0.11425474286079407, 0.1619495302438736, 0.043596960604190826, 0.25576621294021606, 0.2150215357542038, 0.15869435667991638, 0.10174491256475449, 0.14093737304210663, 0.03623158112168312, 0.23863837122917175, 0.037505634129047394, 0.22896263003349304, 0.05122681334614754, 0.12237508594989777, 0.18576249480247498, 0.2020760327577591, 0.08567158132791519, 0.13788557052612305, 0.04935591295361519, 0.042954396456480026, 0.011463137343525887, 0.14394783973693848, 0.16072849929332733, 0.11260034143924713, 0.10830987989902496, 0.14085736870765686, 0.029988087713718414, 0.021526377648115158, 0.08476728945970535, 0.08930654078722, 0.1989162564277649, 0.1973920315504074, 0.03408411517739296, 0.10406757891178131, 0.005971342790871859, 0.04949835687875748, 0.0037330836057662964, 0.23780833184719086, 0.13918669521808624, 0.2884395122528076, 0.18337759375572205, 0.1999453753232956, 0.30668094754219055, 0.040505778044462204, 0.05596122890710831, 0.00028742538415826857, 0.1111760288476944, 0.1539149433374405, 0.029622580856084824, 0.11812923103570938, 0.13648155331611633, 0.19753772020339966, 0.023482823744416237, 0.14979992806911469, 0.20148484408855438, 0.021604133769869804, 0.28712907433509827, 0.07590660452842712, 0.3077528476715088, 0.08455144613981247, 0.2619250416755676, 0.2478393018245697, 0.2546713054180145, 0.16804687678813934, 0.22454452514648438, 0.10920888930559158, 0.10182573646306992, 0.014302665367722511, 0.1692422330379486, 0.1584043949842453, 0.09091591089963913, 0.05859687924385071, 0.047718193382024765, 0.09640622138977051, 0.1112319678068161, 0.1747225522994995, 0.17755866050720215, 0.13908421993255615, 0.1067095398902893, 0.12058582901954651, 0.11496671289205551, 0.12825481593608856, 0.17007377743721008, 0.09372684359550476, 0.16761159896850586, 0.025226755067706108, 0.033102333545684814, 0.09778373688459396, 0.184057354927063, 0.19132894277572632, 0.04324045404791832, 0.19698333740234375, 0.10230062901973724, 0.289951354265213, 0.07887265086174011, 0.2567513585090637, 0.21979425847530365, 0.24831534922122955, 0.19553378224372864, 0.24582862854003906, 0.11864064633846283, 0.0808747261762619, 0.024876601994037628, 0.18354959785938263, 0.16295847296714783, 0.11289723217487335, 0.12497013807296753, 0.12516085803508759, 0.12585550546646118, 0.1765533834695816, 0.045986391603946686, 0.029404548928141594, 0.24917738139629364, 0.2694261372089386, 0.2709296643733978, 0.28119680285453796, 0.2653881311416626, 0.03737791255116463, 0.3012012541294098, 0.06962645798921585, 0.25833895802497864, 0.09873800724744797, 0.28550735116004944, 0.23458777368068695, 0.26445648074150085, 0.20435824990272522, 0.24382303655147552, 0.10859466344118118, 0.09943031519651413, 0.042625658214092255, 0.20620620250701904, 0.1970834583044052, 0.11950554698705673, 0.1498219519853592, 0.1820908784866333, 0.06852550059556961, 0.1872113198041916, 0.23382070660591125, 0.26653558015823364, 0.2992275655269623, 0.18853865563869476, 0.23421980440616608, 0.13497233390808105, 0.06884368509054184, 0.02690711058676243, 0.20546554028987885, 0.20527169108390808, 0.1341228038072586, 0.2035697102546692, 0.015920571982860565, 0.03803421929478645, 0.17472076416015625, 0.19889625906944275, 0.15798692405223846, 0.07912998646497726, 0.05983462557196617, 0.021770721301436424 ], [ 0.18702122569084167, 0.11954005807638168, 0.14869935810565948, 0.00933240819722414 ] ] }, { "q_id": "8895_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6587522625923157, 0.5874446630477905, 0.752347469329834, 0.5501703023910522, 0.99791020154953, 0.9992936849594116 ], [ 0.7418304085731506, 0.591238260269165, 0.9979724287986755, 0.9982796907424927 ], [ 0.6007173657417297, 0.5406656861305237, 0.85652095079422, 0.6000787019729614, 0.9981669187545776, 0.9979508519172668 ], [ 0.624412477016449, 0.20907169580459595, 0.12733638286590576, 0.8688389658927917, 0.27863579988479614, 0.9978975057601929, 0.9981845021247864 ], [ 0.6808840036392212, 0.29335129261016846, 0.9135797619819641, 0.45395535230636597, 0.9976790547370911, 0.9977781176567078 ], [ 0.7376648187637329, 0.7510927319526672, 0.15805818140506744, 0.9974552989006042, 0.9916957020759583 ], [ 0.6212773323059082, 0.35594692826271057, 0.04556326940655708, 0.13476230204105377, 0.30238282680511475, 0.5895376801490784, 0.9916132688522339, 0.991315484046936 ], [ 0.7958599328994751, 0.5395521521568298, 0.42101287841796875, 0.9935609102249146, 0.9945665597915649 ], [ 0.011399123817682266, 0.011118600144982338 ], [ 0.713490903377533, 0.20230139791965485, 0.18548181653022766, 0.922174870967865, 0.12432503700256348, 0.11542342603206635, 0.9974024891853333, 0.9980354905128479 ], [ 0.5260812044143677, 0.5700761079788208, 0.4868583083152771, 0.9958265423774719, 0.9898888468742371 ], [ 0.8429520726203918, 0.7771127223968506, 0.9982972741127014, 0.9969921112060547 ], [ 0.6464342474937439, 0.566711962223053, 0.9960787892341614, 0.9976282715797424 ], [ 0.747848391532898, 0.4025064706802368, 0.9752926230430603, 0.802662193775177 ], [ 0.7395192980766296, 0.5125975012779236, 0.05894597992300987, 0.0812624916434288, 0.5538311004638672, 0.755029022693634, 0.1030474305152893, 0.9967999458312988, 0.9952231049537659 ], [ 0.7251981496810913, 0.7604072690010071, 0.998578667640686, 0.9983152151107788 ] ] }, { "q_id": "9014_mmlu_math", "cot_ids": [ 0, 1, 2, 5, 6, 7, 9, 11, 12, 13, 15 ], "rewards": [ [ 0.3173285126686096, 0.46386876702308655, 0.4226989448070526, 0.8345766067504883, 0.02554486133158207, 0.03632020950317383, 0.027046745643019676, 0.04879194498062134, 0.03903011977672577, 0.00780022656545043 ], [ 0.03078862465918064, 0.032867804169654846, 0.08023330569267273, 0.18134142458438873, 0.040325064212083817, 0.1429234892129898, 0.08287983387708664, 0.0731361135840416, 0.07223504781723022, 0.04719977080821991, 0.07468745112419128, 0.16804061830043793, 0.06683240085840225, 0.028296051546931267, 0.020806511864066124, 0.3314286172389984, 0.062268223613500595, 0.092496357858181, 0.05319936200976372, 0.04650763049721718, 0.08278793096542358, 0.09199317544698715, 0.15081967413425446, 0.06731858849525452, 0.001907176454551518, 0.1829681396484375, 0.40595993399620056, 0.045793063938617706, 0.14447347819805145, 0.1325683742761612, 0.10690611600875854, 0.07259354740381241, 0.0030901646241545677 ], [ 0.17267629504203796, 0.021457595750689507, 0.05798600614070892, 0.0527011901140213, 0.0344349630177021, 0.03997649997472763, 0.10240275412797928, 0.04664776846766472, 0.07446962594985962, 0.03719111159443855, 0.026009878143668175, 0.03159593790769577, 0.02802559733390808, 0.001862222678028047 ], [ 0.03353782743215561, 0.02694876864552498, 0.05434741452336311, 0.0722576156258583, 0.07666901499032974, 0.025805199518799782, 0.004479217808693647 ], [ 0.9717603921890259, 0.17346274852752686, 0.005709741730242968, 0.00391962006688118 ], [ 0.14810456335544586, 0.21179579198360443, 0.06264600157737732, 0.0310671329498291, 0.0023602962028235197 ], [ 0.11387239396572113, 0.057836104184389114, 0.01636183261871338 ], [ 0.6701485514640808, 0.9493454098701477, 0.9914886951446533 ], [ 0.984444260597229, 0.9355913996696472, 0.9712239503860474 ], [ 0.020176855847239494, 0.0315912589430809, 0.05161934345960617, 0.5473682880401611, 0.011050420813262463 ], [ 0.2167886644601822, 0.41780543327331543, 0.0022277049720287323 ] ] }, { "q_id": "8456_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9743961691856384, 0.9874932765960693, 0.5090866684913635, 0.00715391943231225 ], [ 0.7648184299468994, 0.29312291741371155, 0.7139471173286438, 0.9803735017776489, 0.008416068740189075 ], [ 0.7865519523620605, 0.07729821652173996, 0.9358981847763062, 0.8287045955657959, 0.7328973412513733, 0.9953432083129883 ], [ 0.6806227564811707, 0.18920393288135529, 0.41508185863494873, 0.9510393142700195, 0.9256143569946289, 0.9934988021850586, 0.01749112643301487 ], [ 0.6882722973823547, 0.02443632110953331, 0.9494202136993408, 0.30511751770973206, 0.6596654653549194, 0.3116432726383209, 0.9894485473632812, 0.13628414273262024, 0.21607089042663574, 0.07593011111021042, 0.5907962322235107, 0.055013593286275864, 0.865394115447998, 0.09533333778381348, 0.037143073976039886, 0.03646009415388107, 0.0089072585105896 ], [ 0.09024626016616821, 0.04580606892704964, 0.9714467525482178, 0.06308555603027344, 0.9765224456787109, 0.9966173768043518 ], [ 0.6348637938499451, 0.026233939453959465, 0.7071974873542786, 0.15269029140472412, 0.00587347149848938 ], [ 0.1967708021402359, 0.09704258292913437, 0.14988422393798828, 0.33180102705955505, 0.774318516254425, 0.6264326572418213, 0.9917845726013184, 0.8187525868415833, 0.00483383983373642 ], [ 0.19013512134552002, 0.02696276269853115, 0.22135686874389648, 0.3861519992351532, 0.7275744676589966, 0.9855212569236755, 0.989928662776947, 0.00577146140858531 ], [ 0.6882653832435608, 0.22202591598033905, 0.7602993845939636, 0.9920167922973633, 0.0098639577627182 ], [ 0.1557711809873581, 0.04606146737933159, 0.8451133966445923, 0.8868845105171204, 0.9985989928245544, 0.5513996481895447, 0.9934617280960083, 0.011441911570727825 ], [ 0.6573891639709473, 0.32755768299102783, 0.9826132655143738, 0.013293394818902016 ], [ 0.4205886423587799, 0.020748386159539223, 0.9751039743423462, 0.9927155375480652, 0.011308335699141026 ], [ 0.5521489381790161, 0.9830175638198853, 0.7267550826072693, 0.004815142136067152 ], [ 0.12248947471380234, 0.9314045906066895, 0.9759002327919006, 0.8877862691879272, 0.8056464791297913, 0.9852661490440369 ], [ 0.6813684701919556, 0.20045968890190125, 0.9686328172683716, 0.9938620328903198, 0.005031129810959101 ] ] }, { "q_id": "8959_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.027603313326835632, 0.00656539062038064, 0.014766616746783257, 0.0020277604926377535, 0.0042269108816981316, 0.03988390788435936, 0.04661016911268234, 0.0037518315948545933, 0.0005643206532113254 ], [ 0.1610807627439499, 0.001863738987594843, 0.0011808399576693773 ], [ 0.5171365737915039, 0.020867424085736275, 0.013649823144078255, 0.04921573027968407, 0.006402131170034409, 0.07328063249588013, 0.15652786195278168, 0.0006168531253933907 ], [ 0.047721851617097855, 0.08360013365745544, 0.014808890409767628, 0.014769316650927067, 0.03988048806786537, 0.04799628257751465, 0.00775093724951148, 0.9991275668144226 ], [ 0.0510244257748127, 0.02072918601334095, 0.003332792781293392, 0.016677750274538994, 0.01872153952717781, 0.01826164498925209, 0.00842116866260767, 0.03257077559828758, 0.04835999011993408, 0.0442936047911644, 0.022487137466669083, 0.03500288352370262, 0.066227488219738, 0.06413862854242325, 0.0014614231185987592 ], [ 0.29638054966926575, 0.05359622836112976, 0.02414991706609726, 0.10029348731040955, 0.004427616950124502, 0.009335700422525406, 0.0032152752391994, 0.0007363604381680489 ], [ 0.010138332843780518, 0.022866003215312958, 0.033004023134708405, 0.0038570836186408997, 0.00036771991290152073 ], [ 0.1069781482219696, 0.11288801580667496, 0.04776204004883766, 0.045369964092969894, 0.0032437520567327738, 0.8112174868583679, 0.9993706345558167 ], [ 0.015454620122909546, 0.020253818482160568, 0.02280818112194538, 0.014103168621659279, 0.03512375429272652, 0.00034557952312752604 ], [ 0.015197817236185074, 0.024524638429284096, 0.01188624743372202, 0.032002583146095276, 0.004736016038805246, 0.008394604548811913, 0.0005373011808842421 ], [ 0.40969225764274597, 0.0467928871512413, 0.20636874437332153, 0.015761634334921837, 0.022591454908251762, 0.023208823055028915, 0.03132499381899834, 0.008258434012532234, 0.059866636991500854, 0.0054861437529325485, 0.009678772650659084, 0.009227762930095196, 0.012823805212974548, 0.021439872682094574, 0.018350860103964806, 0.013749755918979645, 0.015841597691178322, 0.018699239939451218, 0.01915101893246174, 0.021127471700310707, 0.013548566959798336, 0.029379600659012794, 0.056471891701221466, 0.03681841865181923, 0.019328303635120392, 0.0258537195622921, 0.02275926247239113, 0.023078640922904015, 0.011595618911087513, 0.07279811054468155, 0.035380661487579346, 0.11093881726264954, 0.023162977769970894, 0.005546907428652048, 0.010588076896965504, 0.019829846918582916, 0.02043384127318859, 0.003989874385297298, 0.022629285231232643, 0.007968192920088768, 0.021364670246839523, 0.8373710513114929, 0.0597112700343132, 0.057808756828308105, 0.18365539610385895, 0.002192010171711445 ], [ 0.30430904030799866, 0.06416766345500946, 0.17195731401443481, 0.11122927814722061, 0.032346658408641815, 0.033009257167577744, 0.09363679587841034, 0.10853297263383865, 0.24911902844905853, 0.10025279968976974, 0.11905831098556519, 0.15253528952598572, 0.07737905532121658, 0.13833840191364288, 0.060519054532051086, 0.034050360321998596, 0.08108346164226532, 0.02922654151916504, 0.10104218870401382, 0.06725789606571198, 0.5320700407028198, 0.9945145845413208, 0.9996938705444336 ], [ 0.053165141493082047, 0.009477727115154266, 0.03574485704302788, 0.004665957763791084, 0.01048589963465929, 0.0026814164593815804, 0.0004203295393381268 ], [ 0.043450579047203064, 0.04430171847343445, 0.0503661073744297, 0.03168002516031265, 0.04870166257023811, 0.05497535318136215, 0.11591927707195282, 0.0016417837468907237, 0.00048574581160210073 ], [ 0.021089745685458183, 0.017743727192282677, 0.022649826481938362, 0.025536471977829933, 0.059578511863946915, 0.08269954472780228, 0.005899033043533564, 0.015073250979185104, 0.034028925001621246, 0.037780482321977615, 0.030005929991602898, 0.04674076288938522, 0.03350132331252098, 0.8273098468780518, 0.3222489058971405, 0.03236042708158493, 0.02616848424077034, 0.03230277821421623, 0.07698281854391098, 0.011010735295712948, 0.18340237438678741, 0.03294472396373749, 0.046495433896780014, 0.03368458151817322, 0.022086434066295624, 0.03247728571295738, 0.03658192604780197, 0.019978513941168785, 0.030315136536955833, 0.03733333200216293, 0.019026704132556915, 0.0749036893248558, 0.021476738154888153, 0.06042887642979622, 0.028490543365478516, 0.03387933596968651, 0.0786929503083229, 0.048627886921167374, 0.05780831724405289, 0.026284318417310715, 0.03008469194173813, 0.06148374453186989, 0.01217467151582241, 0.10880930721759796, 0.1251683533191681, 0.057044077664613724, 0.18709896504878998, 0.04697961360216141, 0.06227967143058777, 0.04249285161495209, 0.04817003756761551, 0.026229703798890114, 0.08541715145111084, 0.045930165797472, 0.05190925672650337, 0.015044832602143288, 0.053918320685625076, 0.041933126747608185, 0.007907788269221783, 0.027720674872398376, 0.031131012365221977, 0.02237142063677311, 0.05014913156628609, 0.023947350680828094, 0.0503796823322773, 0.03427108749747276, 0.025682363659143448, 0.024663979187607765, 0.2733110189437866, 0.03160758689045906, 0.023942258208990097, 0.011021718382835388, 0.009843850508332253, 0.20080772042274475, 0.13015934824943542, 0.30372464656829834, 0.2849813997745514, 0.10548535734415054, 0.03550907224416733, 0.02455584518611431, 0.05290313810110092, 0.30775558948516846, 0.019051603972911835, 0.1372484415769577, 0.05164509639143944, 0.17466968297958374, 0.05903306603431702, 0.2712593376636505, 0.03441694378852844, 0.03672608733177185, 0.03704109415411949, 0.0031493129208683968, 0.09895700961351395, 0.32439789175987244, 0.03165702894330025, 0.09489048272371292, 0.03739768639206886, 0.06546831876039505, 0.02201176807284355, 0.17918869853019714, 0.09884001314640045, 0.08218543976545334, 0.38362935185432434, 0.9992006421089172 ] ] }, { "q_id": "8793_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.45421668887138367, 0.7747082710266113, 0.9996032118797302, 0.9999566078186035 ], [ 0.8523450493812561, 0.3908856213092804, 0.3414697051048279, 0.9996237754821777, 0.9999701976776123 ], [ 0.8278096318244934, 0.35736799240112305, 0.3835849463939667, 0.9996895790100098, 0.9999816417694092 ], [ 0.49229827523231506, 0.6995872259140015, 0.5944932103157043, 0.9997525811195374, 0.9999724626541138 ], [ 0.9548871517181396, 0.6142385601997375, 0.8349813222885132, 0.9997987151145935, 0.9999817609786987 ], [ 0.648766279220581, 0.7147586941719055, 0.504431962966919, 0.9997711777687073, 0.9999779462814331 ], [ 0.49229562282562256, 0.9478307962417603, 0.924504816532135, 0.998988926410675, 0.9999260902404785 ], [ 0.9112237095832825, 0.10849859565496445, 0.9026057720184326, 0.3593122065067291, 0.9997751116752625, 0.9999873638153076 ], [ 0.3805723190307617, 0.29473745822906494, 0.9995090961456299, 0.999966025352478 ], [ 0.5295140147209167, 0.6361690759658813, 0.7534010410308838, 0.31510409712791443, 0.9993501305580139, 0.9999752044677734 ], [ 0.7800420522689819, 0.6053195595741272, 0.13660164177417755, 0.9992064833641052, 0.9999750852584839 ], [ 0.9639157652854919, 0.449360191822052, 0.99973064661026, 0.9999799728393555 ], [ 0.9639235138893127, 0.37845438718795776, 0.5965681076049805, 0.9997245669364929, 0.9999778270721436 ], [ 0.9577058553695679, 0.5007792711257935, 0.9996490478515625, 0.9999772310256958 ], [ 0.976867139339447, 0.5162179470062256, 0.5856152176856995, 0.999699592590332, 0.9999797344207764 ], [ 0.7611987590789795, 0.24787265062332153, 0.8600855469703674, 0.40047934651374817, 0.9997696280479431, 0.9999873638153076 ] ] }, { "q_id": "8530_mmlu_math", "cot_ids": [ 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.35311511158943176, 0.9981569647789001, 0.9997580647468567 ], [ 0.08526989817619324, 0.05024366080760956, 0.03872049227356911, 0.047510672360658646, 0.07256215810775757, 0.027267571538686752, 0.4058031439781189, 0.00042830969323404133 ], [ 0.2586665451526642, 0.07260803133249283, 0.02103334292769432, 0.9840880036354065, 0.999261200428009 ], [ 0.7882937788963318, 0.022725900635123253, 0.0472303070127964, 0.063620425760746, 0.07134220749139786, 0.014854115433990955, 0.030284808948636055, 0.016813701018691063, 0.10308445245027542, 0.02041410095989704, 0.039698876440525055, 0.052435413002967834, 0.00304600247181952, 0.0003989800752606243 ], [ 0.006312806624919176, 0.06404908001422882, 0.10776358097791672, 0.038627468049526215, 0.07507011294364929, 0.0008433596813119948, 0.0003787325113080442 ], [ 0.012680222280323505, 0.009355895221233368, 0.020816314965486526, 0.010107705369591713, 0.0704326406121254, 0.06766063719987869, 0.00701473094522953, 0.0004485496901907027 ], [ 0.07988012582063675, 0.04951825737953186, 0.04229297861456871, 0.08762238174676895, 0.0658014565706253, 0.004554820712655783, 0.0004465511010494083 ], [ 0.045073170214891434, 0.026092996820807457, 0.02653553895652294, 0.018425818532705307, 0.0130773251876235, 0.012508144602179527, 0.02093486301600933, 0.024016954004764557, 0.006398665253072977, 0.010085406713187695, 0.019997362047433853, 0.027916187420487404, 0.011620309203863144, 0.021118704229593277, 0.018799904733896255, 0.013084983453154564, 0.004543169401586056, 0.005499793216586113, 0.011684300377964973, 0.010719653218984604, 0.03624649718403816, 0.041060641407966614, 0.044774509966373444, 0.02333085425198078, 0.019932294264435768, 0.015420084819197655, 0.0008254682761617005 ], [ 0.012232608161866665, 0.037069082260131836, 0.0033276693429797888, 0.0004960790392942727 ], [ 0.1340244859457016, 0.023548685014247894, 0.03724091500043869, 0.041107434779405594, 0.1930563598871231, 0.08061105757951736, 0.004030268173664808, 0.00037689521559514105 ], [ 0.02195918932557106, 0.026323227211833, 0.04230385646224022, 0.02752865105867386, 0.04258667677640915, 0.038146454840898514, 0.061390697956085205, 0.057969965040683746, 0.060100603848695755, 0.008666926994919777, 0.015042142011225224, 0.0021132633555680513, 0.0005551128997467458 ], [ 0.03175940737128258, 0.023470306769013405, 0.002918018726631999, 0.0005732730496674776 ], [ 0.7793258428573608, 0.08690358698368073, 0.03324076533317566, 0.022717587649822235, 0.03494396433234215, 0.03233839198946953, 0.001275086309760809, 0.0005320869386196136 ], [ 0.006868257652968168, 0.009205876849591732, 0.01362020056694746, 0.06807620078325272, 0.016666673123836517, 0.012278860434889793, 0.031957898288965225, 0.01545108575373888, 0.008673948235809803, 0.9987404942512512 ], [ 0.03138144686818123, 0.029140964150428772, 0.06101830303668976, 0.017207179218530655, 0.003715038299560547, 0.00036195115535520017 ] ] }, { "q_id": "7736_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.754470944404602, 0.46130484342575073, 0.38588258624076843, 0.9866911172866821, 0.9954053163528442 ], [ 0.8361607789993286, 0.44662952423095703, 0.9911717772483826, 0.9972056746482849 ], [ 0.7544777393341064, 0.04400954395532608, 0.557076096534729, 0.4043431878089905, 0.5512303709983826, 0.9917329549789429, 0.9974855184555054 ], [ 0.3793395459651947, 0.5579932332038879, 0.48321256041526794, 0.9931128621101379, 0.9973562955856323 ], [ 0.7544773817062378, 0.46130600571632385, 0.5364140272140503, 0.9935973882675171, 0.9982985854148865 ], [ 0.8361606001853943, 0.46192866563796997, 0.9931911826133728, 0.9975858926773071 ], [ 0.7544751763343811, 0.39734017848968506, 0.465863972902298, 0.9892113208770752, 0.9965850114822388 ], [ 0.754472017288208, 0.46130338311195374, 0.3858804404735565, 0.9895170331001282, 0.9969536066055298 ], [ 0.8361594080924988, 0.4462142884731293, 0.9939867258071899, 0.9981521964073181 ], [ 0.8966280221939087, 0.4515436887741089, 0.9924671053886414, 0.9975256323814392 ], [ 0.754472017288208, 0.46130338311195374, 0.3858804404735565, 0.9903832077980042, 0.9969870448112488 ], [ 0.7544766068458557, 0.46130552887916565, 0.5056295394897461, 0.9937572479248047, 0.9979116320610046 ], [ 0.4355413615703583, 0.032697707414627075, 0.11255580186843872, 0.79604572057724, 0.45039963722229004, 0.9896237254142761, 0.9970959424972534 ], [ 0.8612828254699707, 0.5250341892242432, 0.014617085456848145, 0.013058028183877468 ], [ 0.8361603617668152, 0.11865758895874023, 0.17703652381896973, 0.32442349195480347, 0.15478329360485077, 0.10904979705810547, 0.20720118284225464, 0.37026962637901306, 0.3594822585582733, 0.12591740489006042, 0.12232014536857605, 0.10263162851333618 ], [ 0.7544645071029663, 0.45882415771484375, 0.9924013614654541, 0.9970695376396179 ] ] }, { "q_id": "8063_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.060629114508628845, 0.13621926307678223, 0.1809307187795639, 0.165164515376091, 0.9959837198257446 ], [ 0.3841634690761566, 0.9967870712280273 ], [ 0.008032940328121185, 0.0015348991146311164 ], [ 0.4013731777667999, 0.2419833242893219, 0.5420381426811218, 0.24421705305576324, 0.07591559737920761, 0.11242720484733582, 0.13862979412078857, 0.06772705167531967, 0.08045697212219238, 0.11022253334522247, 0.943023681640625, 0.9954041242599487 ], [ 0.549190878868103, 0.46207207441329956, 0.617759108543396, 0.18620140850543976, 0.24526122212409973, 0.11936566978693008, 0.07241468876600266, 0.2065751552581787, 0.00812093261629343, 0.16292166709899902, 0.08517656475305557, 0.010724503546953201, 0.06655354052782059, 0.018272163346409798, 0.8277554512023926, 0.9952880144119263 ], [ 0.1747141033411026, 0.19507597386837006, 0.11149400472640991, 0.0615457147359848, 0.08014203608036041, 0.1110384613275528, 0.09719569981098175, 0.05550231412053108, 0.11204033344984055, 0.05073893070220947, 0.06531809270381927, 0.001620305236428976 ], [ 0.15155448019504547, 0.27226173877716064, 0.007775641977787018, 0.06335490942001343, 0.9446954131126404, 0.9967677593231201 ], [ 0.579419732093811, 0.43861448764801025, 0.27890413999557495, 0.05849117040634155, 0.05803661420941353, 0.08279017359018326, 0.09715717285871506, 0.06520377099514008, 0.07521934807300568, 0.06757985055446625, 0.06435219943523407, 0.9681494235992432, 0.9954448938369751 ], [ 0.37970829010009766, 0.9971686005592346 ], [ 0.5209075212478638, 0.13122279942035675, 0.24610190093517303, 0.9902225732803345, 0.9971189498901367 ], [ 0.1355837881565094, 0.3553323745727539, 0.023685095831751823, 0.06778596341609955, 0.03167454153299332, 0.09254099428653717, 0.9825989007949829, 0.996057391166687 ], [ 0.4371112287044525, 0.31192463636398315, 0.16133134067058563, 0.03706672415137291, 0.061846379190683365, 0.003453904064372182 ], [ 0.34577590227127075, 0.2327621728181839, 0.4449053108692169, 0.45797958970069885, 0.04452398046851158, 0.13545361161231995, 0.14801611006259918, 0.08014488220214844, 0.08965984731912613, 0.1263522505760193, 0.09734387695789337, 0.11147015541791916, 0.11221408098936081, 0.1597396731376648, 0.11797978729009628, 0.11735592782497406, 0.19749478995800018, 0.9867740869522095, 0.9958400726318359 ], [ 0.1831720471382141, 0.2152661681175232, 0.08901822566986084, 0.11898226290941238, 0.5233315825462341, 0.9920995235443115, 0.9975764155387878 ], [ 0.531502902507782, 0.30871132016181946, 0.1147981658577919, 0.10187646746635437, 0.9849621057510376, 0.9976179003715515 ] ] }, { "q_id": "9039_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.41191861033439636, 0.07904708385467529, 0.08677256107330322, 0.07775630801916122, 0.2785787582397461, 0.5036024451255798, 0.20895200967788696, 0.00033304435783065856 ], [ 0.10511482506990433, 0.03961044177412987, 0.19487105309963226, 0.20352691411972046, 0.11523304134607315, 0.04972599819302559, 0.006711064837872982, 0.009838180616497993, 0.015577180311083794, 0.0030285087414085865, 0.0005498503451235592 ], [ 0.11195344477891922, 0.43948736786842346, 0.09644730389118195, 0.05955711752176285, 0.9925038814544678, 0.9997794032096863 ], [ 0.20150126516819, 0.057926569133996964, 0.2736029326915741, 0.49868297576904297, 0.020404912531375885, 0.07269267737865448, 0.10671181231737137, 0.9896085858345032, 0.9995545744895935 ], [ 0.018451819196343422, 0.047834791243076324, 0.024881934747099876, 0.003463044995442033, 0.0005130225908942521 ], [ 0.202074334025383, 0.16788780689239502, 0.9969371557235718, 0.9997830986976624 ], [ 0.015016836114227772, 0.003944416996091604, 0.0038473745808005333, 0.0005288315587677062 ], [ 0.9467499852180481, 0.029186654835939407, 0.07617484778165817, 0.3417457342147827, 0.04308779165148735, 0.03544465824961662, 0.0786217525601387, 0.0037948666140437126, 0.0672566145658493, 0.0008035187493078411, 0.07649029791355133, 0.05834636092185974, 0.055607013404369354, 0.06346382945775986, 0.027605103328824043, 0.026628335937857628, 0.003774283453822136, 0.01840759441256523, 0.0688365176320076, 0.9931029081344604, 0.9995725750923157 ], [ 0.8133071660995483, 0.07200399041175842, 0.049800023436546326, 0.04324004426598549, 0.997126042842865, 0.999768078327179 ], [ 0.846881628036499, 0.03110410086810589, 0.038720592856407166, 0.08138222992420197, 0.03863363340497017, 0.025557661429047585, 0.00042070948984473944 ], [ 0.8674730062484741, 0.029490897431969643, 0.09533132612705231, 0.0552147813141346, 0.006884217727929354, 0.007833450101315975, 0.006708548404276371, 0.07218766957521439, 0.015891775488853455, 0.006639382801949978, 0.016095640137791634, 0.005735812708735466, 0.0005918320966884494 ], [ 0.9319618344306946, 0.07052536308765411, 0.03272213414311409, 0.005179618950933218, 0.08195732533931732, 0.012567812576889992, 0.0017569613410159945, 0.0003994685539510101 ], [ 0.15396088361740112, 0.18366067111492157, 0.0009298118529841304, 0.00035397137980908155 ], [ 0.144916832447052, 0.05269113928079605, 0.6375885009765625, 0.3803870677947998, 0.04892883077263832, 0.9970557689666748, 0.9997962117195129 ], [ 0.4631383419036865, 0.08143524825572968, 0.014253699220716953, 0.9867154955863953, 0.9996659755706787 ], [ 0.7855814695358276, 0.37377792596817017, 0.03532158210873604, 0.24243509769439697, 0.9930567741394043, 0.9996399879455566 ] ] }, { "q_id": "8586_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9721501469612122, 7.56693771108985e-05, 0.10651356726884842, 1.9437096852925606e-05, 0.9987443685531616, 0.9998592138290405 ], [ 0.08121217042207718, 0.0034901408944278955, 0.4811466932296753, 0.9964988231658936, 0.9995080232620239 ], [ 0.007106238976120949, 0.05578949674963951, 0.9982782602310181, 0.9997106194496155 ], [ 0.04579887539148331, 0.00015172369603533298, 0.10986705869436264, 0.0026521917898207903, 0.31786614656448364, 0.9963248372077942, 0.9990394711494446 ], [ 0.0032287549693137407, 0.040307462215423584, 0.05273952707648277, 0.11000166833400726, 0.006747027859091759, 0.5217479467391968, 0.9927768707275391, 0.9992936849594116 ], [ 0.9762287735939026, 7.755466504022479e-05, 0.11910092085599899, 1.985800736292731e-05, 0.9942384958267212, 0.9990334510803223, 0.9996498823165894 ], [ 0.08630269020795822, 0.03694891557097435, 0.32813698053359985, 0.9980077147483826, 0.9994638562202454 ], [ 0.00172103859949857, 0.12930253148078918, 0.005163658410310745, 0.9945194125175476, 0.9995367527008057 ], [ 0.04579895734786987, 0.00031094771111384034, 0.14440105855464935, 0.25482177734375, 0.11381571739912033, 0.6857708096504211, 5.863033584319055e-05, 0.9867295026779175, 0.9993088245391846 ], [ 0.9737215042114258, 0.06193070486187935, 0.995841920375824, 0.9990957975387573, 0.9996706247329712 ], [ 0.00226806104183197, 0.08373604714870453, 0.007079542148858309, 0.9963163137435913, 0.9992660880088806, 0.9996875524520874 ], [ 0.08518581092357635, 0.46576523780822754, 0.9979450106620789, 0.9989346861839294 ], [ 0.9738056063652039, 7.231692870846018e-05, 0.12384486943483353, 0.00015793138300068676, 0.996086835861206, 0.9996134638786316 ], [ 0.3004646599292755, 0.05635761842131615, 0.9965906143188477, 0.9988906979560852, 0.9996887445449829 ], [ 0.003244948573410511, 0.23097296059131622, 0.17594532668590546, 0.07314062863588333, 0.02811550348997116, 0.6197052597999573, 0.6199394464492798, 0.9967634677886963, 0.9996663331985474 ], [ 0.9865307211875916, 8.659357263240963e-05, 0.07826488465070724, 1.7139449482783675e-05, 0.9947977066040039, 0.9996525049209595 ] ] }, { "q_id": "8902_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.012316451407968998, 0.07180094718933105, 0.15272800624370575, 0.4325243830680847, 0.9984384179115295, 0.9996767044067383 ], [ 0.15906204283237457, 0.07349584251642227, 0.9643963575363159, 0.9725577235221863 ], [ 0.01968913897871971, 0.09467725455760956, 0.2987491190433502, 0.4735538065433502, 0.40267711877822876, 0.9986255168914795, 0.9997138381004333 ], [ 0.1458234041929245, 0.08704429119825363, 0.11987240612506866, 0.1295539140701294, 0.10210781544446945, 0.5093371868133545, 0.5882080793380737, 0.32259926199913025, 0.9970344305038452, 0.9991496801376343 ], [ 0.019939664751291275, 0.09732473641633987, 0.26326075196266174, 0.33886680006980896, 0.9984171390533447, 0.9997349381446838 ], [ 0.3098044991493225, 0.9547439813613892, 0.2977627217769623 ], [ 0.03462184965610504, 0.08923385292291641, 0.0953395888209343, 0.15319178998470306, 0.5022096633911133, 0.8039146065711975, 0.010836337693035603 ], [ 0.02755293808877468, 0.10773757845163345, 0.12412630766630173, 0.1422346979379654, 0.4554288685321808, 0.9978651404380798, 0.9995463490486145 ], [ 0.0431562215089798, 0.05643501132726669, 0.19485771656036377, 0.993263304233551, 0.9972225427627563 ], [ 0.0431564599275589, 0.04325466230511665, 0.11505455523729324, 0.30970385670661926, 0.12905240058898926 ], [ 0.009546532295644283, 0.0857897624373436, 0.14317576587200165, 0.43120241165161133, 0.5260428190231323, 0.9954965114593506, 0.9986613988876343 ], [ 0.49683910608291626, 0.2704504132270813, 0.07751066982746124, 0.8102793097496033, 0.6422837972640991 ], [ 0.01993991620838642, 0.09347359091043472, 0.0620950423181057, 0.39527425169944763, 0.32187971472740173, 0.9926055669784546, 0.9972817897796631 ], [ 0.04315677285194397, 0.07265273481607437, 0.3039356470108032, 0.9924588799476624, 0.9964414238929749 ], [ 0.08941234648227692, 0.42132753133773804, 0.07829935848712921, 0.989669144153595, 0.996852695941925, 0.9988070726394653 ], [ 0.017969885841012, 0.06825016438961029, 0.3226498067378998, 0.3975585103034973, 0.9981016516685486, 0.9995163679122925 ] ] }, { "q_id": "8853_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9916194677352905, 0.9969086050987244 ], [ 0.5386771559715271, 0.14001181721687317, 0.9807308912277222, 0.9944338202476501 ], [ 0.5101023316383362, 0.510870635509491, 0.21593506634235382, 0.5483837127685547, 0.058720946311950684, 0.9969576597213745, 0.9993738532066345 ], [ 0.9715486764907837, 0.001635554013773799 ], [ 0.7958986759185791, 0.34186023473739624, 0.6813850998878479, 0.04981602355837822, 0.1072126254439354, 0.01273389719426632, 0.3247040808200836, 0.350678026676178, 0.6667054295539856, 0.14286227524280548, 0.995961606502533, 0.9992734789848328 ], [ 0.9960176348686218, 0.9984637498855591 ], [ 0.49234557151794434, 0.15128132700920105, 0.3413192629814148, 0.11547195166349411, 0.40346816182136536, 0.2858884036540985, 0.6484280824661255, 0.9961446523666382, 0.999494194984436 ], [ 0.508134126663208, 0.2580551207065582, 0.039254091680049896, 0.1174473837018013, 0.38055819272994995, 0.8424090147018433, 0.7333178520202637 ], [ 0.7303073406219482, 0.9956331849098206, 0.999098539352417 ], [ 0.5147192478179932, 0.339542031288147, 0.3993535041809082, 0.22665941715240479, 0.9818427562713623, 0.9955915212631226 ], [ 0.8917548656463623, 0.14250127971172333, 0.367559552192688, 0.5407365560531616, 0.9967203736305237, 0.9987632036209106 ], [ 0.9942250847816467, 0.9983452558517456 ], [ 0.9554504156112671, 0.7801766991615295, 0.9895644187927246, 0.9973316192626953 ], [ 0.315826416015625, 0.8863927125930786, 0.9977741837501526, 0.9995392560958862 ], [ 0.07457081228494644, 0.4247080087661743, 0.08807696402072906, 0.26075732707977295, 0.07404637336730957, 0.45639389753341675, 0.42087477445602417, 0.9503118395805359, 0.9189486503601074 ], [ 0.14007499814033508, 0.04052253067493439, 0.2097741663455963, 0.6109178066253662, 0.07549818605184555, 0.1468062698841095, 0.019469788298010826, 0.2549550533294678, 0.39193880558013916, 0.6126574873924255, 0.7653051614761353, 0.27677127718925476, 0.995337724685669, 0.9992330074310303 ] ] }, { "q_id": "7854_mmlu_math", "cot_ids": [ 0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.1078859195113182, 0.031847286969423294, 0.043473564088344574, 0.06644979119300842, 0.09870219975709915, 0.0924319326877594, 0.153532937169075, 0.06348905712366104, 0.010003332048654556, 0.0019550826400518417 ], [ 0.061005599796772, 0.03501741215586662, 0.019556475803256035, 0.021280456334352493, 0.0675719827413559, 0.16478882730007172, 0.07512383908033371, 0.14506107568740845, 0.15645742416381836, 0.9545236825942993, 0.9871456623077393 ], [ 0.06049956753849983, 0.06787155568599701, 0.07565545290708542, 0.20416000485420227, 0.09514540433883667, 0.8654868006706238, 0.07618185877799988, 0.050785552710294724, 0.06120413541793823, 0.018080342561006546, 0.008708889596164227 ], [ 0.11476512253284454, 0.04337586835026741, 0.041778381913900375, 0.34096622467041016, 0.07831088453531265, 0.036771174520254135, 0.05627616494894028, 0.04111822322010994, 0.0757482722401619, 0.03466895967721939, 0.038997404277324677, 0.07617830485105515, 0.1019040048122406, 0.043004509061574936, 0.06714070588350296, 0.19059349596500397, 0.1387161910533905, 0.051169414073228836, 0.049446579068899155, 0.04985959827899933, 0.04712098091840744, 0.05878254398703575, 0.07270020246505737, 0.104641392827034, 0.045104335993528366, 0.06005501747131348, 0.0994211807847023, 0.13151384890079498, 0.046171125024557114, 0.05080758035182953, 0.04781033843755722, 0.0727224200963974, 0.0589689202606678, 0.054159410297870636, 0.06109726056456566, 0.04725763574242592, 0.07662223279476166, 0.04766998067498207, 0.050774794071912766, 0.06938356161117554, 0.049261271953582764, 0.051562435925006866, 0.04061850160360336, 0.08018858730792999, 0.07877467572689056, 0.03607308119535446, 0.06220779940485954, 0.08404083549976349, 0.09766580909490585, 0.026594430208206177, 0.054902199655771255, 0.09032278507947922, 0.08645229786634445, 0.02090582437813282, 0.04669824615120888, 0.10804866254329681, 0.1065049022436142, 0.021399980410933495, 0.047679200768470764, 0.0910196527838707, 0.0915558710694313, 0.019129689782857895, 0.043937116861343384, 0.10571039468050003, 0.11422550678253174, 0.019756687805056572, 0.05614897236227989, 0.12851835787296295, 0.13453717529773712, 0.03452135995030403, 0.05992121994495392, 0.16570855677127838, 0.1426260769367218, 0.036856960505247116, 0.05535397306084633, 0.13497476279735565, 0.14442597329616547, 0.03803354129195213, 0.060408592224121094, 0.1323712170124054, 0.14759410917758942, 0.03840358182787895, 0.047106143087148666, 0.060353513807058334, 0.10351749509572983, 0.040306705981492996, 0.05885738134384155, 0.052970338612794876, 0.3114061951637268, 0.4131530523300171 ], [ 0.03925474360585213, 0.07478363066911697, 0.0686737522482872, 0.21064132452011108, 0.042052850127220154, 0.03164888545870781, 0.07015959173440933, 0.05350550264120102 ], [ 0.06179488077759743, 0.062130458652973175, 0.0891835168004036, 0.07314260303974152, 0.021257389336824417, 0.03877730295062065, 0.03940337151288986, 0.043491046875715256, 0.05255827307701111, 0.06637534499168396, 0.06100481003522873, 0.03022070601582527, 0.027294255793094635, 0.1031242311000824, 0.06019853428006172, 0.06032785773277283, 0.0701209083199501, 0.15001392364501953, 0.0916612520813942, 0.05843909829854965, 0.05155842378735542, 0.04090007394552231, 0.043942347168922424, 0.027144024148583412, 0.6354107856750488, 0.9515489339828491, 0.8435773253440857 ], [ 0.053714919835329056, 0.3183742165565491, 0.1478089541196823, 0.10973875224590302, 0.2625470459461212, 0.9418438673019409 ], [ 0.06050094962120056, 0.08826158195734024, 0.017367467284202576, 0.05823716148734093, 0.03420364111661911, 0.16186781227588654, 0.013908060267567635, 0.08120498061180115, 0.04311385005712509, 0.7832227945327759, 0.13460864126682281, 0.15254466235637665, 0.11580047756433487, 0.09628217667341232, 0.036042433232069016, 0.024527832865715027, 0.01234349887818098 ], [ 0.11971276998519897, 0.05905129760503769, 0.05457540974020958, 0.12539783120155334, 0.18411481380462646, 0.15919174253940582, 0.0900447741150856, 0.06067129969596863, 0.053128961473703384, 0.028695378452539444, 0.05571278929710388, 0.0468723438680172 ], [ 0.04954075068235397, 0.0062777032144367695, 0.06772973388433456, 0.009322436526417732, 0.19455477595329285, 0.02066771499812603, 0.934903621673584, 0.16400954127311707, 0.08165217190980911, 0.10491637885570526, 0.03751577436923981, 0.04336751997470856, 0.041088998317718506 ], [ 0.017804332077503204, 0.08514059334993362, 0.030351832509040833, 0.06877055019140244, 0.012339354492723942, 0.19816885888576508, 0.01724259927868843, 0.1120859831571579, 0.01860092394053936, 0.6623055934906006, 0.09004023671150208, 0.10533234477043152, 0.10007795691490173, 0.034246888011693954, 0.05360416695475578, 0.01853680983185768, 0.020557403564453125, 0.020185580477118492, 0.0032748826779425144 ], [ 0.07523924857378006, 0.012051546946167946 ], [ 0.06232236698269844, 0.006042943801730871, 0.029246145859360695, 0.024670252576470375, 0.03165857493877411, 0.014868615195155144, 0.02501866966485977, 0.02825811132788658, 0.026563391089439392, 0.02735627256333828, 0.042548369616270065, 0.03195130452513695, 0.10865717381238937, 0.0026329911779612303, 0.055447544902563095, 0.021881144493818283, 0.0029361939523369074, 0.016184313222765923, 0.12343313544988632, 0.09071050584316254, 0.05266670510172844, 0.01713803969323635, 0.05226360261440277, 0.08952737599611282, 0.13457465171813965, 0.1790270060300827, 0.004788001999258995, 0.11686574667692184, 0.05776503309607506, 0.934191882610321, 0.14951901137828827, 0.0921773687005043, 0.0783790647983551, 0.07846155762672424, 0.04462999477982521, 0.064823679625988, 0.04538023844361305, 0.06081993505358696, 0.07914958149194717, 0.08649007976055145, 0.060046274214982986, 0.17306683957576752, 0.20226114988327026, 0.10739313066005707, 0.8926300406455994, 0.13006232678890228, 0.06915410608053207, 0.039880964905023575, 0.05604446679353714, 0.04666244983673096, 0.07573364675045013, 0.005177585408091545, 0.010870663449168205, 0.0310278981924057, 0.025795286521315575, 0.046533290296792984, 0.13821738958358765, 0.06810721009969711, 0.02982191927731037, 0.02828541025519371, 0.054608460515737534, 0.025157736614346504, 0.0377754345536232, 0.03909338638186455, 0.049354348331689835, 0.044603489339351654, 0.044850170612335205, 0.06625429540872574, 0.08427730202674866, 0.22716616094112396, 0.08717996627092361, 0.0006262362003326416, 0.07334289699792862, 0.08980243653059006, 0.08863765746355057, 0.07905760407447815, 0.051945414394140244, 0.049448754638433456, 0.03592067211866379, 0.04262508824467659, 0.013624230399727821, 0.0037585727404803038, 0.002502094255760312, 0.02182641811668873, 0.0623767264187336, 0.04707513749599457, 0.060358889400959015, 0.03389863297343254, 0.03702937811613083, 0.061429429799318314, 0.048190463334321976, 0.06532702594995499, 0.0709766373038292, 0.06274797767400742, 0.041372157633304596, 0.04164726659655571, 0.06893465667963028, 0.07323702424764633, 0.0838903859257698, 0.10345228761434555, 0.10744396597146988, 0.023900019004940987, 0.13866624236106873, 0.1913505494594574, 0.30369096994400024, 0.18513718247413635, 0.13461218774318695, 0.011096779257059097, 0.06605259329080582, 0.1267009973526001, 0.03621232137084007, 0.009220592677593231 ], [ 0.06188603490591049, 0.023032305762171745, 0.06352311372756958, 0.03945569321513176, 0.06526285409927368, 0.10452720522880554, 0.025754503905773163, 0.1236315593123436, 0.8783612251281738, 0.0016005474608391523 ], [ 0.17090614140033722, 0.029577041044831276, 0.06798423081636429, 0.017655296251177788, 0.14498336613178253, 0.04962054267525673, 0.034140877425670624, 0.02830616757273674, 0.025941276922822, 0.016988001763820648, 0.10197743028402328, 0.02213483862578869, 0.07444856315851212, 0.896900475025177, 0.15834426879882812 ] ] }, { "q_id": "8624_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.16101764142513275, 0.039700184017419815, 0.23220889270305634, 0.07389021664857864, 0.05743106082081795, 0.10067906975746155, 0.024254070594906807, 0.016207722947001457 ], [ 0.9848929643630981, 0.9936822652816772 ], [ 0.26662757992744446, 0.11866748332977295, 0.1458481103181839, 0.09586723893880844, 0.0704222172498703, 0.12111205607652664, 0.02799302525818348 ], [ 0.31487300992012024, 0.2805362939834595, 0.11107852309942245, 0.04802880063652992, 0.6471659541130066, 0.773338794708252 ], [ 0.33821818232536316, 0.12615950405597687, 0.054258450865745544, 0.1265299916267395, 0.09110797941684723 ], [ 0.3673917055130005, 0.09316845238208771, 0.2686401307582855, 0.15196040272712708 ], [ 0.005069198552519083, 0.0566008985042572, 0.06766271591186523, 0.9071778059005737, 0.9857374429702759, 0.9937133193016052 ], [ 0.36134615540504456, 0.022639865055680275, 0.08152200281620026, 0.9093464016914368, 0.9769763350486755 ], [ 0.03551558777689934, 0.03947749361395836, 0.03276488929986954, 0.5713052153587341, 0.39511561393737793 ], [ 0.16425248980522156, 0.0420621857047081, 0.06849653273820877, 0.4969313442707062, 0.9455693364143372, 0.33658939599990845 ], [ 0.04909076914191246, 0.057389646768569946, 0.08369811624288559, 0.03914292901754379 ], [ 0.04127466678619385, 0.04504625126719475, 0.0554620623588562 ], [ 0.21878866851329803, 0.2590427100658417, 0.057646822184324265, 0.06036660075187683, 0.07589733600616455, 0.08988876640796661, 0.11609996110200882, 0.16550499200820923, 0.10066400468349457, 0.10032133013010025, 0.13456182181835175, 0.1669047623872757, 0.05822436884045601, 0.0759563148021698, 0.22402960062026978, 0.009601419791579247, 0.054811589419841766, 0.07264544814825058, 0.07228615880012512, 0.013639060780405998, 0.051902949810028076, 0.07234267890453339, 0.05726763606071472, 0.08306892961263657, 0.029171660542488098, 0.02682936005294323, 0.025849709287285805, 0.06622081995010376, 0.010745152831077576 ], [ 0.31827250123023987, 0.13431018590927124, 0.14734400808811188, 0.27258288860321045, 0.08643411099910736, 0.05313095077872276, 0.05477439612150192, 0.0400867722928524 ], [ 0.3288050889968872, 0.010811388492584229, 0.16554389894008636, 0.0242003221064806, 0.06124880164861679, 0.05570666864514351, 0.046537794172763824, 0.047585777938365936, 0.044299110770225525, 0.04235493019223213, 0.01590055599808693, 0.13874000310897827, 0.0633896142244339, 0.018686659634113312, 0.6366278529167175, 0.7803232073783875 ], [ 0.16308319568634033, 0.061777859926223755, 0.11645947396755219, 0.06389264017343521 ] ] }, { "q_id": "8014_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.01770721562206745, 0.8621457815170288, 0.8132199048995972, 0.987671971321106, 0.0022040721960365772 ], [ 0.977813720703125, 0.6072860956192017, 0.9123572707176208, 0.36552345752716064, 0.6843640208244324, 0.3910156190395355, 0.7884823083877563, 0.9731422662734985, 0.002034927485510707 ], [ 0.8549347519874573, 0.7474325299263, 0.9836656451225281, 0.0020247905049473047 ], [ 0.9214456677436829, 0.47615671157836914, 0.9502041935920715, 0.9965053796768188, 0.009710902348160744, 0.0037122454959899187 ], [ 0.33914098143577576, 0.019550267606973648, 0.0608273446559906, 0.19076193869113922, 0.7531166672706604, 0.5587608218193054, 0.9819179177284241, 0.0030706338584423065 ], [ 0.9955506324768066, 0.9790012240409851, 0.4055815041065216, 0.7785254120826721, 0.1293480545282364, 0.5769648551940918, 0.9696690440177917, 0.0024150258395820856 ], [ 0.9910187721252441, 0.4531695544719696, 0.05456146225333214, 0.31570908427238464, 0.18674132227897644, 0.814691960811615, 0.9331149458885193, 0.0024208067916333675 ], [ 0.9701843857765198, 0.8471269607543945, 0.9907239079475403, 0.9991341233253479 ], [ 0.9880924820899963, 0.7588757276535034, 0.9930415153503418, 0.0017502809641882777 ], [ 0.11265885829925537, 0.6431176662445068, 0.9787053465843201, 0.0021048306953161955 ], [ 0.9797749519348145, 0.8991607427597046, 0.9758593440055847, 0.988937258720398, 0.0019521148642525077 ], [ 0.9591548442840576, 0.6970493197441101, 0.9907383322715759, 0.9949491024017334 ], [ 0.9965929388999939, 0.49531057476997375, 0.39095646142959595, 0.9667850136756897, 0.9841353297233582, 0.9992917776107788 ], [ 0.9313490986824036, 0.7960280179977417, 0.9908244609832764, 0.0023389982525259256 ], [ 0.9784249067306519, 0.7015580534934998, 0.9869140982627869, 0.9874431490898132, 0.9982351064682007 ], [ 0.5684147477149963, 0.9819668531417847, 0.7788081765174866, 0.9713854789733887, 0.9811722636222839, 0.0018563104094937444 ] ] }, { "q_id": "8435_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.005709863267838955, 0.03137101233005524, 0.4154689610004425, 0.3389004170894623, 0.041355594992637634, 0.1455308347940445, 0.033128779381513596 ], [ 0.026468416675925255, 0.04128803312778473, 0.029012907296419144, 0.20599031448364258 ], [ 0.023426393046975136, 0.030501941218972206, 0.4442760944366455, 0.23525547981262207, 0.06281612068414688, 0.7173389792442322, 0.07243624329566956 ], [ 0.0777832493185997, 0.34496304392814636, 0.26445454359054565, 0.0404532290995121, 0.0893915444612503, 0.8823221325874329, 0.03948098048567772 ], [ 0.012950043193995953, 0.03080662712454796, 0.015505109913647175, 0.03014228120446205, 0.04907165840268135, 0.010647888295352459 ], [ 0.8895250558853149, 0.12707221508026123, 0.022237787023186684 ], [ 0.5605149865150452, 0.08849496394395828, 0.13519589602947235, 0.031542252749204636 ], [ 0.0693373754620552, 0.024612538516521454, 0.8405011892318726, 0.2964192032814026, 0.019918402656912804 ], [ 0.18629029393196106, 0.15534262359142303, 0.8092361092567444, 0.0476498082280159 ], [ 0.009721416980028152, 0.004474964924156666, 0.10694285482168198, 0.2304610162973404, 0.11277537047863007, 0.023079661652445793, 0.1145862340927124, 0.07110487669706345, 0.9288886785507202, 0.04274548962712288 ], [ 0.007564643397927284, 0.02370423451066017, 0.22564475238323212, 0.12873324751853943, 0.025646938011050224, 0.10316859930753708, 0.6206773519515991, 0.04630882665514946 ], [ 0.007502129767090082, 0.0199748445302248, 0.03779543936252594, 0.021382145583629608, 0.036655910313129425, 0.034205809235572815, 0.11715640872716904, 0.051237523555755615, 0.06302780658006668, 0.05686556547880173, 0.010710868053138256 ], [ 0.9074670076370239, 0.13857267796993256, 0.2423812299966812, 0.7421005964279175, 0.05793372169137001 ], [ 0.018668418750166893, 0.02510753460228443, 0.02147097699344158, 0.05726315453648567, 0.011816132813692093 ], [ 0.8777068853378296, 0.3092504143714905, 0.02139507792890072, 0.023357566446065903, 0.018716350197792053 ], [ 0.015804767608642578, 0.013728954829275608, 0.11881846934556961, 0.02094695344567299, 0.029618455097079277, 0.041395049542188644, 0.12353421002626419, 0.02314063347876072 ] ] }, { "q_id": "7733_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3536224961280823, 0.32805103063583374, 0.4995102882385254, 0.20302416384220123, 0.3596566617488861, 0.4536372125148773, 0.14288903772830963, 0.05126877501606941, 0.5355873703956604, 0.04568658769130707, 0.9903669357299805, 0.9988634586334229 ], [ 0.4804835617542267, 0.03229811415076256, 0.12157368659973145, 0.06949766725301743, 0.3497678339481354, 0.4127941131591797, 0.10097168385982513, 0.15653572976589203, 0.995335042476654, 0.9975678324699402 ], [ 0.2968599498271942, 0.5485792756080627, 0.1825580596923828, 0.9973610043525696, 0.9994049072265625 ], [ 0.2144170105457306, 0.18340931832790375, 0.3718464970588684, 0.9976880550384521, 0.9992732405662537 ], [ 0.36290380358695984, 0.14723274111747742, 0.22887729108333588, 0.3459228575229645, 0.08136768639087677, 0.402129590511322, 0.3081496059894562, 0.33905258774757385, 0.27696526050567627, 0.9963692426681519, 0.9987622499465942 ], [ 0.5516102910041809, 0.11995527893304825, 0.5745458006858826, 0.31160950660705566, 0.1568247377872467, 0.9946249127388, 0.9971787929534912 ], [ 0.3578874468803406, 0.18170450627803802, 0.4418066143989563, 0.9989994168281555, 0.9996286630630493 ], [ 0.3804214894771576, 0.5657835602760315, 0.13555343449115753, 0.9944076538085938, 0.9972280859947205 ], [ 0.24970774352550507, 0.2313103824853897, 0.6542595028877258, 0.5087445378303528, 0.2097155898809433, 0.11713118106126785, 0.3297803997993469, 0.18109753727912903, 0.9971187114715576, 0.9994750618934631 ], [ 0.1845083087682724, 0.4804505705833435, 0.26348650455474854, 0.27406346797943115, 0.9971750974655151, 0.9989898800849915 ], [ 0.49675482511520386, 0.10560117661952972, 0.22413288056850433, 0.10164982825517654, 0.10525952279567719, 0.054752204567193985, 0.18723556399345398, 0.09427967667579651, 0.026496950536966324, 0.9973607659339905, 0.9991260170936584 ], [ 0.23213696479797363, 0.12453912198543549, 0.3918822109699249, 0.24314174056053162, 0.14587318897247314, 0.9970671534538269, 0.9990209341049194 ], [ 0.6056153178215027, 0.21956351399421692, 0.5287501215934753, 0.35402336716651917, 0.17663970589637756, 0.9961754083633423, 0.9988101720809937 ], [ 0.357885479927063, 0.6853169798851013, 0.2166842222213745, 0.1537763923406601, 0.9974665641784668, 0.9993211030960083 ], [ 0.39826756715774536, 0.3239343464374542, 0.30527225136756897, 0.5244061350822449, 0.2683560848236084, 0.18892809748649597, 0.369795024394989, 0.1387578845024109, 0.9980085492134094, 0.9994943141937256 ], [ 0.47355228662490845, 0.548214852809906, 0.01932411827147007, 0.03399904817342758, 0.04751957952976227, 0.0022117020562291145 ] ] }, { "q_id": "8450_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8081729412078857, 0.9949709177017212, 0.9988835453987122 ], [ 0.8183399438858032, 0.993535041809082, 0.9981997013092041 ], [ 0.9695162177085876, 0.3620087504386902, 0.9982851147651672, 0.9993045330047607 ], [ 0.4981071650981903, 0.18278588354587555, 0.9949499368667603, 0.9983400106430054 ], [ 0.3057999908924103, 0.6910455822944641, 0.9976237416267395, 0.9986646175384521 ], [ 0.7325717210769653, 0.04358942434191704, 0.01019233837723732 ], [ 0.9879177212715149, 0.3952554762363434, 0.7223014235496521, 0.9968457818031311, 0.9995310306549072 ], [ 0.9853494763374329, 0.2542858421802521, 0.9982136487960815, 0.9996272325515747 ], [ 0.5763636231422424, 0.2457304745912552, 0.7975006103515625, 0.15761330723762512, 0.9953277111053467, 0.9988600015640259 ], [ 0.7788344025611877, 0.17204926908016205, 0.6775598526000977, 0.158734530210495 ], [ 0.016134392470121384, 0.09065895527601242, 0.02114088460803032 ], [ 0.9782415628433228, 0.48573893308639526, 0.9977599382400513, 0.9992601275444031 ], [ 0.7096896171569824, 0.6515518426895142, 0.23309053480625153, 0.9895806908607483, 0.9980134963989258 ], [ 0.9325188994407654, 0.9895804524421692, 0.9940701127052307 ], [ 0.9850014448165894, 0.6611028909683228, 0.9950641989707947, 0.9990713596343994 ], [ 0.9777722358703613, 0.34738197922706604, 0.9951530694961548, 0.9992344379425049 ] ] }, { "q_id": "8022_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3712819814682007, 0.13523392379283905, 0.004892165306955576, 0.11057574301958084, 0.9365801215171814, 0.6720467209815979 ], [ 0.7405072450637817, 0.02348492294549942, 0.06217323616147041, 0.4367437958717346, 0.05660812184214592 ], [ 0.714820921421051, 0.08320654183626175, 0.9951545000076294, 0.9943917393684387 ], [ 0.13664980232715607, 0.9815196990966797, 0.6647030115127563 ], [ 0.5416048765182495, 0.07800965011119843, 0.01711435429751873, 0.008484665304422379, 0.02351442351937294, 0.004935741424560547, 0.03466106578707695, 0.08605795353651047, 0.1252456158399582, 0.0778968557715416, 0.061883650720119476, 0.033771079033613205, 0.008217252790927887, 0.03647861257195473, 0.17405498027801514, 0.18024049699306488, 0.3847043514251709, 0.11592357605695724, 0.06136581674218178, 0.027882395312190056 ], [ 0.5807656645774841, 0.992272138595581, 0.9926899075508118 ], [ 0.0760333240032196, 0.05208601802587509, 0.10614094138145447, 0.0673358365893364, 0.019025126472115517, 0.03540685400366783, 0.7509546279907227, 0.15895605087280273 ], [ 0.05771693214774132, 0.03343570977449417, 0.0080885523930192, 0.03490031510591507, 0.05109062418341637, 0.08635691553354263, 0.00482819601893425, 0.05654057860374451, 0.04426819831132889, 0.02933928184211254 ], [ 0.06408309936523438, 0.03981461375951767, 0.0007231292547658086, 0.07469575107097626, 0.0015321815153583884, 0.5150235891342163, 0.012354763224720955 ], [ 0.5554690957069397, 0.1547756940126419, 0.06813161075115204, 0.023125020787119865, 0.047930698841810226, 0.08330287784337997, 0.1736716330051422, 0.10222625732421875, 0.02854772098362446, 0.11182983219623566, 0.03499956429004669 ], [ 0.6350502967834473, 0.98113614320755, 0.7436076998710632 ], [ 0.10554273426532745, 0.05171931907534599, 0.020123306661844254, 0.0386865995824337, 0.040827322751283646, 0.054764945060014725, 0.029818695038557053, 0.060523565858602524, 0.16736426949501038, 0.05754761025309563, 0.264570415019989, 0.0045982529409229755 ], [ 0.7977738976478577, 0.032617583870887756, 0.13275335729122162, 0.018584629520773888, 0.05294599384069443, 0.0750260278582573, 0.002977863885462284 ], [ 0.4926665425300598, 0.9919247031211853, 0.9951813817024231 ], [ 0.296154260635376, 0.07659478485584259, 0.05649903789162636, 0.04638518765568733, 0.1278102695941925, 0.2770610749721527, 0.12399177253246307, 0.045757658779621124, 0.6216017007827759, 0.12295304983854294, 0.05165684223175049, 0.05771872028708458, 0.034920625388622284 ], [ 0.4135955572128296, 0.013013824820518494, 0.020282689481973648, 0.005307946354150772, 0.013026461005210876, 0.009501798078417778, 0.028181064873933792, 0.024179480969905853, 0.08148709684610367, 0.06386224925518036, 0.12727662920951843, 0.03514780476689339 ] ] }, { "q_id": "7802_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.17388030886650085, 0.0013783125905320048, 0.002612581942230463, 0.9954700469970703, 0.9988856911659241 ], [ 0.476164311170578, 0.9727943539619446, 0.8377792239189148 ], [ 0.11370255053043365, 0.015317944809794426, 0.8688772320747375, 0.9472839832305908, 0.6138333082199097 ], [ 0.0877605527639389, 0.044208377599716187, 0.6627764701843262, 0.37004974484443665 ], [ 0.5240992307662964, 0.8226015567779541, 0.9775905609130859, 0.9987859129905701, 0.9993898868560791 ], [ 0.18544146418571472, 0.19321933388710022, 0.972334086894989, 0.2859768271446228, 0.5247837901115417, 0.9955075979232788, 0.9992460012435913 ], [ 0.22552955150604248, 0.021282384172081947, 0.14737115800380707, 0.9105286002159119, 0.87497878074646 ], [ 0.9749432802200317, 0.8695284724235535 ], [ 0.3316974639892578, 0.8434516787528992, 0.17923007905483246 ], [ 0.4043973982334137, 0.5677257776260376, 0.9942466616630554, 0.9950260519981384, 0.9986013770103455 ], [ 0.12221728265285492, 0.9212337732315063, 0.26108986139297485 ], [ 0.2750072479248047, 0.811265230178833, 0.7914532423019409 ], [ 0.15435335040092468, 0.3782500624656677, 0.23378972709178925 ], [ 0.9440260529518127, 0.26516610383987427, 0.6181386113166809, 0.996885359287262, 0.9990859031677246 ], [ 0.2772241234779358, 0.9503745436668396, 0.5805190205574036 ], [ 0.4693763256072998, 0.9930725693702698, 0.9887520670890808, 0.9490804672241211 ] ] }, { "q_id": "7698_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.863882839679718, 0.05504302307963371, 0.9638385772705078, 0.3354881703853607, 0.0028761725407093763 ], [ 0.6210482716560364, 0.7072263360023499, 0.2386660873889923, 0.0013897266471758485, 0.2972361147403717, 0.4913157820701599, 0.36432644724845886, 0.5956588983535767, 0.46087566018104553, 0.2116343379020691, 0.020368361845612526 ], [ 0.6773374676704407, 0.7935243844985962, 0.26073434948921204, 0.0902160033583641, 0.30939292907714844, 0.637809693813324, 0.9980418682098389, 0.999687910079956 ], [ 0.031899344176054, 0.06186414510011673, 0.19503897428512573, 0.9909014701843262, 0.9972936511039734 ], [ 0.2601470947265625, 0.9023870229721069, 0.4361167252063751, 0.42800959944725037, 0.9982288479804993, 0.9995636343955994 ], [ 0.6106767058372498, 0.8062432408332825, 0.07491859048604965, 0.08519532531499863, 0.4592554271221161, 0.9966926574707031, 0.9996205568313599 ], [ 0.5513830780982971, 0.2944394052028656, 0.000262747606029734, 0.13868753612041473, 0.1983698159456253, 0.9985722303390503, 0.999778687953949 ], [ 0.6847743988037109, 0.7508354783058167, 0.9294494986534119, 0.6513738036155701, 0.977390706539154, 0.9980663657188416 ], [ 0.6707727909088135, 0.9535980224609375, 0.0116366446018219 ], [ 0.667072594165802, 0.8467728495597839, 0.6899950504302979, 0.6237598061561584, 0.6170477271080017, 0.9976872205734253, 0.9996517896652222 ], [ 0.6546886563301086, 0.22849474847316742, 0.7899554371833801, 0.2607051134109497, 0.3306642174720764, 0.09701509773731232, 0.012646574527025223 ], [ 0.5861815810203552, 0.7723198533058167, 0.06947571784257889, 0.07282454520463943, 0.10101386159658432, 0.9815537929534912 ], [ 0.16554272174835205, 0.05209828540682793, 0.018974432721734047, 0.09852223098278046, 0.01836528815329075, 0.804128885269165, 0.2297496348619461, 0.011468488723039627, 0.29016441106796265, 0.015814516693353653 ], [ 0.01190866343677044, 0.12398489564657211, 0.007579320576041937, 0.041732724756002426, 0.01840980164706707, 0.03509825840592384, 0.04964865744113922, 0.0830707997083664, 0.12454261630773544, 0.01565363258123398, 0.9665761590003967 ], [ 0.5372411608695984, 0.04974979907274246, 0.16603612899780273, 0.3074265420436859, 0.982030987739563, 0.9973178505897522 ], [ 0.14261680841445923, 0.19742776453495026, 0.7426721453666687, 0.7175942659378052, 0.013753525912761688 ] ] }, { "q_id": "7904_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9835233092308044, 0.12700045108795166, 0.8529028296470642, 0.9991725087165833, 0.999954342842102 ], [ 0.9935163259506226, 0.6729819178581238, 0.9995874762535095, 0.9999393224716187 ], [ 0.9933660626411438, 0.9999372959136963 ], [ 0.9988607168197632, 0.9972134232521057, 0.9068511724472046, 0.9999222755432129 ], [ 0.9919324517250061, 0.9223277568817139, 0.15487326681613922, 0.9990233182907104, 0.9999489784240723 ], [ 0.7295445799827576, 0.8598422408103943, 0.9999277591705322 ], [ 0.6476301550865173, 0.3370240032672882, 0.9992461204528809, 0.9999505281448364 ], [ 0.98366379737854, 0.9211028218269348, 0.3164706528186798, 0.9999204874038696 ], [ 0.9720913767814636, 0.14806468784809113, 0.9900982975959778, 0.9999465942382812 ], [ 0.9979215264320374, 0.9999396800994873 ], [ 0.9933266639709473, 0.9729324579238892, 0.9999518394470215 ], [ 0.7218330502510071, 0.9980692267417908, 0.9999349117279053 ], [ 0.9937625527381897, 0.1617148071527481, 0.9242434501647949, 0.9924494028091431, 0.9999563694000244 ], [ 0.9957548379898071, 0.17220786213874817, 0.9530448317527771, 0.9992393255233765, 0.9999456405639648 ], [ 0.9889516234397888, 0.20581862330436707, 0.5563114285469055, 0.9990721940994263, 0.9999452829360962 ], [ 0.9553038477897644, 0.8773229718208313, 0.9319215416908264, 0.9724456667900085, 0.999927282333374 ] ] }, { "q_id": "8170_mmlu_math", "cot_ids": [ 0, 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.06907588243484497, 0.16159389913082123, 0.128766730427742, 0.07464825361967087, 0.49255555868148804, 0.2561962306499481, 0.013326025567948818 ], [ 0.19192738831043243, 0.7366988062858582, 0.027758164331316948 ], [ 0.19114795327186584, 0.3235325515270233, 0.34322917461395264, 0.4033622443675995, 0.9062554836273193, 0.03161310404539108 ], [ 0.3514699637889862, 0.09058849513530731, 0.11150841414928436, 0.09284874051809311, 0.21745669841766357, 0.8180949091911316, 0.04282565414905548 ], [ 0.08839944005012512, 0.1079006940126419, 0.3374258577823639, 0.1674223691225052, 0.6481984853744507, 0.07946806401014328, 0.010890297591686249 ], [ 0.016931388527154922, 0.004683418199419975, 0.025178231298923492, 0.0332501120865345, 0.03067684918642044, 0.054891183972358704, 0.41058558225631714, 0.027544967830181122 ], [ 0.24477794766426086, 0.05900407209992409, 0.1656804382801056, 0.3185577988624573, 0.950019896030426, 0.19404403865337372 ], [ 0.32736197113990784, 0.01302814669907093, 0.0384569875895977, 0.09973590821027756, 0.03579030930995941, 0.05199018865823746, 0.8791708946228027, 0.5935230851173401 ], [ 0.06998953223228455, 0.053116679191589355, 0.01346422079950571 ], [ 0.18293914198875427, 0.0011903911363333464, 0.18834877014160156, 0.29153376817703247, 0.6877081394195557, 0.007563581224530935 ], [ 0.39498695731163025, 0.20446425676345825, 0.4360429346561432, 0.5366459488868713, 0.030979381874203682 ], [ 0.3897554278373718, 0.2110358029603958, 0.07064013183116913, 0.10140098631381989, 0.30761370062828064, 0.9103632569313049, 0.006583203561604023 ], [ 0.0017577140824869275, 2.835198574757669e-05, 1.385835639666766e-05, 0.000223251772695221, 0.028474949300289154, 0.2696913480758667, 0.965141773223877, 0.07302980124950409 ], [ 0.1426185667514801, 0.05232086405158043, 0.08828210830688477, 0.1666652113199234, 0.4458906054496765, 0.9065864086151123, 0.06981801986694336 ] ] }, { "q_id": "8179_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.09755169600248337, 0.071804940700531, 0.047179996967315674, 0.04744388908147812, 0.00345098739489913 ], [ 0.03573991358280182, 0.05698360130190849, 0.04825889691710472, 0.011029121465981007 ], [ 0.04422285035252571, 0.08546503633260727, 0.037183210253715515, 0.15002523362636566, 0.06918609887361526, 0.00944327749311924 ], [ 0.042429182678461075, 0.2722802460193634, 0.0876469686627388, 0.0072691612876951694 ], [ 0.06430480629205704, 0.17175129055976868, 0.03781444951891899, 0.005931445863097906 ], [ 0.2500459551811218, 0.13476236164569855, 0.08103664219379425, 0.08321163803339005, 0.10373705625534058, 0.08487137407064438, 0.009927237406373024, 0.009241229854524136 ], [ 0.10298231244087219, 0.10691380500793457, 0.10646575689315796, 0.038095854222774506, 0.7286991477012634, 0.7971693873405457 ], [ 0.06928756833076477, 0.10820730775594711, 0.04169058799743652, 0.07985148578882217, 0.07279445230960846, 0.04222188889980316, 0.0637507289648056, 0.07976707071065903, 0.08749422430992126, 0.029118727892637253, 0.006505449768155813 ], [ 0.9679773449897766, 0.7789127826690674, 0.2679751217365265, 0.39106035232543945, 0.019159069284796715 ], [ 0.058150917291641235, 0.10386285930871964, 0.0735606700181961, 0.05100533738732338, 0.05888097733259201, 0.1264907270669937, 0.11013838648796082, 0.004360061138868332 ], [ 0.03889181837439537, 0.126653254032135, 0.14089304208755493, 0.12438541650772095, 0.008982435800135136 ], [ 0.027154654264450073, 0.0026171060744673014 ], [ 0.3144288957118988, 0.029827440157532692, 0.005286163184791803 ], [ 0.6338161826133728, 0.0671856626868248, 0.9045202136039734, 0.917254626750946 ], [ 0.0436837300658226, 0.07000700384378433, 0.05687270313501358, 0.003366646124050021 ], [ 0.15289932489395142, 0.056068215519189835, 0.9565654993057251, 0.7014429569244385, 0.8949475288391113, 0.024452727288007736 ] ] }, { "q_id": "7819_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.17526854574680328, 0.8890632390975952, 0.7604468464851379 ], [ 0.1078166663646698, 0.44976478815078735, 0.4815777540206909, 0.58351069688797, 0.0032643245067447424 ], [ 0.14149142801761627, 0.07321090996265411, 0.020914973691105843, 0.968864917755127, 0.6422794461250305, 0.9109060168266296 ], [ 0.026314247399568558, 0.13226528465747833, 0.9795580506324768, 0.9414581656455994 ], [ 0.12903143465518951, 0.9776678085327148, 0.8625801801681519 ], [ 0.22509624063968658, 0.05411959066987038, 0.9466930031776428, 0.9045130610466003 ], [ 0.135295107960701, 0.0031722665298730135, 0.9642684459686279, 0.9748502969741821, 0.9653077125549316 ], [ 0.07892082631587982, 0.9753520488739014, 0.9079999327659607 ], [ 0.9831409454345703, 0.854448139667511 ], [ 0.023956740275025368, 0.01013356726616621, 0.0003897139977198094, 0.10499589145183563, 0.014926319010555744, 0.18799838423728943, 0.04622979089617729, 0.8127001523971558, 0.24169084429740906, 0.916843056678772, 0.9758080244064331 ], [ 0.04349924623966217, 0.00494126882404089, 0.900574266910553, 0.9597095251083374, 0.9474231004714966 ], [ 0.012506573460996151, 0.003934197593480349, 0.0399249903857708, 0.21572192013263702, 0.3662388324737549, 0.3118169605731964, 0.9811909794807434, 0.985958993434906 ], [ 0.03127306327223778, 0.011777399107813835, 0.029352717101573944, 0.5080959796905518, 0.975911557674408, 0.8528837561607361, 0.9093124866485596 ], [ 0.1512620449066162, 0.12183408439159393, 0.7085110545158386, 0.6986854076385498 ], [ 0.08394522219896317, 0.005916136782616377, 0.5424895286560059, 0.9554600715637207, 0.9798795580863953 ], [ 0.24348929524421692, 0.9731928706169128, 0.9239553213119507 ] ] }, { "q_id": "8983_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7892811298370361, 0.6827768087387085, 0.5239059925079346, 0.784399688243866, 0.746069610118866, 0.024217704311013222 ], [ 0.31381434202194214, 0.07575662434101105, 0.9573835134506226, 0.10517849773168564, 0.6248471736907959, 0.9674255847930908, 0.04564915597438812 ], [ 0.32399576902389526, 0.155839741230011, 0.07860296964645386, 0.7901778817176819, 0.6499966382980347, 0.8931931257247925, 0.037905726581811905 ], [ 0.8410696387290955, 0.1241471916437149, 0.164439395070076, 0.9970043301582336, 0.9984989166259766 ], [ 0.21399882435798645, 0.18351902067661285, 0.5937485694885254, 0.6194409132003784, 0.9979602098464966, 0.9992196559906006 ], [ 0.15410342812538147, 0.08997884392738342, 0.9754754304885864, 0.1312974989414215, 0.7353122234344482, 0.9989399313926697, 0.9989058971405029 ], [ 0.0997655838727951, 0.05373184382915497, 0.34972378611564636, 0.16979651153087616, 0.6027957201004028, 0.4942789077758789, 0.05095437914133072, 0.668461799621582, 0.995528519153595, 0.9977353811264038 ], [ 0.2622252404689789, 0.06284024566411972, 0.7309513688087463, 0.9938991069793701, 0.9985116124153137 ], [ 0.12619398534297943, 0.032759055495262146, 0.055600229650735855, 0.2890982925891876, 0.048551592975854874, 0.44372233748435974, 0.32327067852020264, 0.9917289614677429, 0.9960743188858032 ], [ 0.2378251850605011, 0.12219645828008652, 0.09156419336795807, 0.13382209837436676, 0.051456063985824585, 0.015476778149604797 ], [ 0.882638692855835, 0.25670933723449707, 0.5899829864501953, 0.5919492244720459, 0.9351287484169006, 0.9945310950279236, 0.998388409614563 ], [ 0.20798957347869873, 0.03235207870602608, 0.3730405867099762, 0.2013200968503952, 0.0952073261141777, 0.38517749309539795, 0.02787069045007229, 0.15578868985176086, 0.040973689407110214, 0.1331649273633957, 0.03573638200759888, 0.16626794636249542, 0.4438400864601135, 0.9843025207519531, 0.9961068034172058 ], [ 0.15288324654102325, 0.17116007208824158, 0.23218683898448944, 0.016412727534770966, 0.0036254385486245155, 0.019293690100312233, 0.010223968885838985, 0.009126189164817333, 0.025891203433275223, 0.03664424270391464, 0.015466312877833843, 0.039576638489961624, 0.03886767476797104 ], [ 0.5416330695152283, 0.24506807327270508, 0.17038589715957642, 0.8537498712539673, 0.9960224032402039, 0.9987227320671082 ], [ 0.44003745913505554, 0.1599731743335724, 0.0633343756198883, 0.07468646764755249, 0.09405132383108139, 0.19357377290725708, 0.11140027642250061, 0.7125377058982849, 0.5633448958396912, 0.9841176271438599, 0.9959442019462585 ], [ 0.13532891869544983, 0.08065863698720932, 0.17073720693588257, 0.8545541167259216, 0.1768243908882141, 0.9926556348800659, 0.9966424703598022 ] ] }, { "q_id": "7970_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5533279180526733, 0.5981234908103943, 0.42212727665901184, 0.9807357788085938, 0.053030990064144135 ], [ 0.9830690622329712, 0.029648195952177048 ], [ 0.399841845035553, 0.39472922682762146, 0.26819637417793274, 0.4023173451423645, 0.38956695795059204, 0.9675635695457458, 0.27118119597435 ], [ 0.20519091188907623, 0.30609437823295593, 0.252414733171463, 0.011120413430035114, 0.2768370509147644, 0.3464307188987732, 0.9644700884819031, 0.3093286454677582 ], [ 0.10935557633638382, 0.20541805028915405, 0.6917184591293335, 0.5526075959205627, 0.006666950415819883 ], [ 0.36166056990623474, 0.3329518735408783, 0.20857566595077515, 0.4988579750061035, 0.3439115285873413, 0.3687607944011688, 0.3840601444244385, 0.43869876861572266, 0.2604026794433594, 0.9451823830604553, 0.10043953359127045 ], [ 0.5147836804389954, 0.011991041712462902, 0.06476644426584244, 0.6399151682853699, 0.052956704050302505, 0.06740055233240128, 0.005830485839396715, 0.04020913690328598, 0.11514230072498322, 0.003853218164294958, 0.042241498827934265, 0.07436107844114304, 0.003893650136888027, 0.05133937671780586, 0.015060571022331715, 0.002327189315110445, 0.059529416263103485, 0.07124161720275879, 0.002268750686198473, 0.04740530624985695, 0.013659212738275528, 0.008927663788199425, 0.0655076876282692, 0.062120258808135986, 0.0035781715996563435, 0.059059832245111465, 0.0134207708761096, 0.011232173070311546, 0.06262696534395218, 0.011544935405254364, 0.08593302965164185, 0.014746788889169693, 0.03254920616745949, 0.07122833281755447, 0.06647757440805435, 0.009795835241675377, 0.07396744936704636, 0.015412462875247002, 0.025302650406956673, 0.07902025431394577, 0.008935813792049885, 0.0916256457567215, 0.015231295488774776, 0.0003111030673608184, 0.07023275643587112, 0.0101624745875597, 0.09054569154977798, 0.015450011938810349, 0.020798031240701675, 0.09235578775405884, 0.0177143644541502, 0.07503043115139008, 0.013941995799541473, 0.021130377426743507, 0.09774626046419144, 0.0873856320977211, 0.017759401351213455, 0.08372971415519714, 0.018166281282901764, 0.022696256637573242, 0.10531099885702133, 0.0213469211012125, 0.07830431312322617, 0.0217906441539526, 0.027639541774988174, 0.11737029999494553, 0.1004679724574089, 0.025413747876882553, 0.09056826680898666, 0.020700572058558464, 0.01775204949080944, 0.11825860291719437, 0.015501398593187332, 0.10237476229667664, 0.020152078941464424, 0.031635113060474396, 0.12417083978652954, 0.023429760709404945, 0.0900430977344513, 0.02241756208240986, 0.02442353405058384, 0.12317968159914017, 0.013022138737142086, 0.10393530875444412, 0.011019420810043812, 0.02276567928493023, 0.06783214211463928, 0.008303267881274223, 0.07271646708250046, 0.00806373916566372, 0.02557091787457466, 0.07674520462751389, 0.08994737267494202, 0.04744993895292282, 0.015311249531805515, 0.065867118537426, 0.015216448344290257, 0.03816840052604675, 0.06253255903720856, 0.011236659251153469, 0.07766274362802505, 0.006981337442994118, 0.008836381137371063, 0.084579698741436, 0.01090859342366457, 0.07584618031978607, 0.013286221772432327, 0.018416602164506912, 0.08964447677135468, 0.014099527150392532, 0.07607736438512802, 0.01561881136149168, 0.020304685458540916, 0.08029596507549286, 0.10123096406459808, 0.013980968855321407, 0.07345026731491089, 0.01747863180935383, 0.021964609622955322, 0.10983461141586304, 0.022972755134105682, 0.07944303750991821, 0.017190776765346527, 0.0001251077774213627, 0.09940500557422638, 0.09385470300912857, 0.021532105281949043, 0.07715535908937454, 0.013799958862364292, 0.0011103441938757896, 0.110862597823143, 0.02350345440208912, 0.07819319516420364, 0.019376710057258606, 0.0035077177453786135, 0.1121721863746643, 0.028587380424141884, 0.07790414988994598, 0.02281663380563259, 0.002117445692420006, 0.09307479113340378, 0.012949507683515549, 0.09140463173389435, 0.018051134422421455, 0.004327184986323118, 0.12302104383707047, 0.03344295173883438, 0.08686704188585281, 0.028264999389648438, 0.005852987058460712, 0.13352027535438538, 0.041392624378204346, 0.08194950222969055, 0.030705111101269722, 0.004801909439265728, 0.09172070771455765, 0.026546098291873932, 0.1417754888534546, 0.012348760850727558, 0.020829185843467712, 0.04237255081534386, 0.012834819033741951, 0.041797056794166565, 0.021611763164401054 ], [ 0.3068158030509949, 0.9755204916000366, 0.273438036441803 ], [ 0.3115890622138977, 0.4235523045063019 ], [ 0.4241825342178345, 0.4067363142967224, 0.2479030340909958, 0.24005897343158722, 0.12225044518709183, 0.20054484903812408, 0.9693083763122559, 0.17756876349449158 ], [ 0.26146018505096436, 0.4157272279262543, 0.005546406842768192 ], [ 0.3952244222164154, 0.4104495346546173, 0.23816722631454468, 0.026367127895355225, 0.2956780791282654, 0.23067782819271088, 0.37044331431388855, 0.31609007716178894, 0.38760635256767273, 0.20454742014408112, 0.9562094807624817, 0.06953476369380951 ], [ 0.23298393189907074, 0.2398299276828766, 0.2299608290195465, 0.36454910039901733, 0.30197200179100037, 0.44216880202293396, 0.1481477916240692, 0.9520114660263062, 0.047076378017663956 ], [ 0.23298586905002594, 0.2783913314342499, 0.19986362755298615, 0.020918292924761772, 0.9779543876647949, 0.1287069022655487 ], [ 0.5664023756980896, 0.2179204672574997, 0.33012062311172485, 0.336341917514801, 0.4282628297805786, 0.14617161452770233, 0.9221404790878296, 0.06026299297809601 ], [ 0.39350926876068115, 0.3226553797721863, 0.2010677307844162, 0.3348332643508911, 0.9755733609199524, 0.4110476076602936 ] ] }, { "q_id": "8542_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.014545808546245098, 0.9425368309020996, 0.005044640973210335 ], [ 0.0515306331217289, 0.8126945495605469, 0.007694503292441368 ], [ 0.015651771798729897, 0.0978471115231514, 0.04282939061522484, 0.07970251142978668, 0.09489790350198746, 0.029137054458260536, 0.09622572362422943, 0.13179168105125427, 0.0058630420826375484 ], [ 0.04090351611375809, 0.3926985263824463, 0.004568309523165226 ], [ 0.3029182553291321, 0.24727065861225128, 0.03363668918609619, 0.024396086111664772, 0.021146509796380997, 0.004827034194022417, 0.005967365112155676, 0.00792580284178257, 0.03562508895993233, 0.0831819623708725, 0.07283391058444977, 0.123199462890625, 0.08660674840211868, 0.656075119972229, 0.006082311272621155 ], [ 0.01669851876795292, 0.8576837182044983, 0.004638005513697863 ], [ 0.20555204153060913, 0.016823014244437218, 0.25008681416511536, 0.004637362901121378 ], [ 0.018270118162035942, 0.0257366094738245, 0.21641217172145844, 0.8891983032226562, 0.004447678104043007 ], [ 0.1205059066414833, 0.951447069644928, 0.004165243357419968 ], [ 0.3383837640285492, 0.04331729933619499, 0.08554437011480331, 0.03864898905158043, 0.40190672874450684, 0.006673781666904688 ], [ 0.03182219713926315, 0.1488792598247528, 0.12739670276641846, 0.07538097351789474, 0.01594170555472374, 0.17402034997940063, 0.3177271783351898, 0.006914540193974972 ], [ 0.17695116996765137, 0.01858454942703247, 0.029045578092336655, 0.035459004342556, 0.023402642458677292, 0.009367560036480427, 0.01070475485175848, 0.17335987091064453, 0.007005855441093445, 0.02006440795958042, 0.8765293955802917, 0.2099454253911972, 0.015251693315804005 ], [ 0.014989634044468403, 0.9641023278236389, 0.004550718702375889 ], [ 0.053434841334819794, 0.021888423711061478, 0.034727271646261215, 0.13826066255569458, 0.06717529147863388, 0.13040466606616974, 0.07574467360973358, 0.13497883081436157, 0.13727542757987976, 0.07168271392583847, 0.11077304184436798, 0.08619828522205353, 0.04824431240558624, 0.058848850429058075, 0.20434081554412842, 0.019819598644971848, 0.11612941324710846, 0.9539154767990112, 0.005818020086735487 ], [ 0.04383020102977753, 0.039670996367931366, 0.7569342255592346, 0.005052727181464434 ], [ 0.025541255250573158, 0.009688518941402435, 0.017549995332956314, 0.08094039559364319, 0.017851119861006737, 0.0013520799111574888 ] ] }, { "q_id": "8992_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4707837700843811, 0.5180957913398743, 0.23760581016540527, 0.22637668251991272, 0.3879724442958832, 0.7649657130241394, 0.283574640750885, 0.943597674369812, 0.9975131750106812 ], [ 0.6638299226760864, 0.23980975151062012, 0.22376510500907898, 0.56658536195755, 0.23144333064556122, 0.999325156211853 ], [ 0.754560649394989, 0.23234808444976807, 0.7070999145507812, 0.2590313255786896, 0.026781929656863213, 0.0154404416680336, 0.021032104268670082, 0.015020116232335567, 0.009089043363928795, 0.015156607143580914, 0.01253375131636858, 0.02532881498336792, 0.025312716141343117, 0.012445392087101936, 0.01859430782496929, 0.02100200392305851, 0.0402195118367672, 0.014586257748305798, 0.03945741057395935, 0.036935992538928986, 0.030711835250258446, 0.09816612303256989, 0.03545336052775383, 0.015016264282166958, 0.0363226979970932, 0.027318144217133522, 0.05637631192803383, 0.017551835626363754, 0.021538857370615005, 0.054365549236536026, 0.034292396157979965, 0.05855782702565193, 0.020912619307637215, 0.019473101943731308, 0.0020971649792045355 ], [ 0.8880655169487, 0.05424557998776436, 0.3172144889831543, 0.16054223477840424, 0.17732051014900208, 0.5532512068748474, 0.13231608271598816, 0.9991372227668762 ], [ 0.8046422004699707, 0.28182291984558105, 0.14082778990268707, 0.4250970780849457, 0.771284282207489, 0.13659590482711792, 0.9993454813957214 ], [ 0.2287132292985916, 0.8666135668754578, 0.9963129162788391, 0.9992607235908508 ], [ 0.21820388734340668, 0.9922116994857788, 0.9986666440963745 ], [ 0.6016652584075928, 0.4045901298522949, 0.1871574968099594, 0.5055919885635376, 0.9603307247161865, 0.9994009733200073 ], [ 0.527370810508728, 0.527315080165863, 0.4048900008201599, 0.21905845403671265, 0.6008553504943848, 0.9934739470481873, 0.9993717074394226 ], [ 0.22870883345603943, 0.11639196425676346, 0.22399543225765228, 0.5789528489112854, 0.9711503386497498, 0.9068498611450195, 0.9991672039031982 ], [ 0.08590543270111084, 0.09748290479183197, 0.18663111329078674, 0.08709599077701569, 0.07287752628326416, 0.14877676963806152, 0.5568400621414185, 0.503735363483429, 0.9990448355674744 ], [ 0.6198393106460571, 0.7355412840843201, 0.31499531865119934, 0.19469313323497772, 0.2472229152917862, 0.43769723176956177, 0.8495780825614929, 0.9445175528526306, 0.9989148378372192 ], [ 0.2791776657104492, 0.07139194756746292, 0.3153708875179291, 0.7435330748558044, 0.7947671413421631, 0.7032113075256348, 0.9990460276603699 ], [ 0.41450661420822144, 0.29911017417907715, 0.8180539011955261, 0.6663839817047119, 0.02937745302915573, 0.998007595539093 ], [ 0.5602392554283142, 0.18480952084064484, 0.9311676621437073, 0.6847877502441406, 0.99908447265625 ] ] }, { "q_id": "8976_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.016522612422704697, 0.022000735625624657, 0.01175445131957531, 0.010428903624415398, 0.14934653043746948, 0.42436063289642334, 0.011010273359715939 ], [ 0.03793860971927643, 0.014096320606768131, 0.7739130258560181, 0.015194648876786232 ], [ 0.05160360783338547, 0.010873754508793354, 0.8272024393081665, 0.2721799314022064, 0.22282281517982483, 0.03642153739929199 ], [ 0.04653049632906914, 0.017131736502051353, 0.23760460317134857, 0.01007041148841381 ], [ 0.03169284388422966, 0.011692250147461891, 0.788491427898407, 0.008929038420319557 ], [ 0.035855598747730255, 0.07298637181520462, 0.8141058087348938, 0.088411346077919 ], [ 0.03245362266898155, 0.010969330556690693, 0.1465139538049698, 0.008985904976725578 ], [ 0.06548620760440826, 0.016513805836439133, 0.0396384596824646, 0.059546299278736115, 0.017302123829722404 ], [ 0.05446860194206238, 0.025637025013566017, 0.019019290804862976, 0.3361015021800995, 0.00890610832720995 ], [ 0.04573459178209305, 0.01706935651600361, 0.04980442672967911, 0.01374601200222969 ], [ 0.035545509308576584, 0.016200819984078407, 0.5150026082992554, 0.4865275025367737, 0.010024571791291237 ], [ 0.033462949097156525, 0.010555876418948174, 0.537436842918396, 0.009885407984256744 ], [ 0.05485960468649864, 0.005217328201979399, 0.013138887472450733, 0.021247046068310738, 0.03977884724736214, 0.01900201290845871, 0.851288914680481, 0.005614789668470621 ], [ 0.03469341993331909, 0.012758076190948486, 0.8984155058860779, 0.03918886557221413 ], [ 0.027552135288715363, 0.012148790061473846, 0.43716564774513245, 0.01831113174557686 ], [ 0.030946632847189903, 0.004496353678405285, 0.025441069155931473, 0.015340205281972885, 0.01659027673304081, 0.098751500248909, 0.3594856858253479, 0.009774839505553246 ] ] }, { "q_id": "7894_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.03713598474860191, 0.031893953680992126, 0.01090074423700571, 0.03574991598725319, 0.12600299715995789, 0.1613587588071823, 0.016926921904087067 ], [ 0.03180413320660591, 0.03246019408106804, 0.20339953899383545, 0.01975337415933609 ], [ 0.010984617285430431, 0.05083584412932396, 0.020935263484716415, 0.0642099678516388, 0.25010398030281067, 0.1501206010580063, 0.019893404096364975 ], [ 0.017165731638669968, 0.06082690507173538, 0.009316439740359783 ], [ 0.02958834543824196, 0.027508795261383057, 0.24268345534801483, 0.13089826703071594, 0.037455420941114426, 0.04223160818219185, 0.10605673491954803, 0.22612585127353668, 0.019594410434365273 ], [ 0.21980302035808563, 0.0835784375667572, 0.012153418734669685 ], [ 0.027615074068307877, 0.010911844670772552, 0.2617481052875519, 0.10316785424947739, 0.02839501202106476, 0.04505743086338043, 0.041145797818899155, 0.18914754688739777, 0.07521314173936844, 0.05032290890812874, 0.015590187162160873 ], [ 0.02389329858124256, 0.7549230456352234, 0.017148589715361595 ], [ 0.08640934526920319, 0.0201028473675251, 0.01762530207633972, 0.008428912609815598 ], [ 0.013183527626097202, 0.015796633437275887, 0.010296689346432686 ], [ 0.42568260431289673, 0.11651866137981415, 0.1517484039068222, 0.012751316651701927 ], [ 0.011119386181235313, 0.0052694338373839855, 0.010568618774414062, 0.08302659541368484, 0.010844978503882885 ], [ 0.06114982068538666, 0.044521160423755646, 0.017527228221297264 ], [ 0.02742007188498974, 0.04970885440707207, 0.011297081597149372 ], [ 0.11215594410896301, 0.25883710384368896 ], [ 0.029587596654891968, 0.010202397592365742, 0.6420701742172241, 0.059705670922994614, 0.06143874675035477, 0.617133378982544, 0.013733811676502228 ] ] }, { "q_id": "8223_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15 ], "rewards": [ [ 0.047350745648145676, 0.036595623940229416, 0.035609595477581024, 0.026829300448298454, 0.8646126985549927, 0.9990308284759521, 0.9998917579650879 ], [ 0.0072958022356033325, 0.08340146392583847, 0.04846245422959328, 0.07584132999181747, 0.11434104293584824, 0.9991382360458374, 0.9999139308929443 ], [ 0.35946130752563477, 0.03643512725830078, 0.9979128241539001, 0.9997205138206482 ], [ 0.03807918727397919, 0.9982855916023254, 0.9997835755348206 ], [ 0.551970362663269, 0.05490194633603096, 0.07035557180643082, 0.6400647163391113, 0.0006905878544785082 ], [ 0.04293227195739746, 0.06504958122968674, 0.20809248089790344, 0.07158546149730682, 0.5352458953857422, 0.2767055034637451, 0.9854612946510315, 0.06692799180746078, 0.03447024151682854, 0.0635865107178688, 0.03592102974653244, 0.06084543094038963, 0.06450332701206207, 0.03497522324323654, 0.06121944636106491, 0.0838155448436737, 0.03669853135943413, 0.9995144605636597 ], [ 0.1704605221748352, 0.03007528930902481, 0.03565347567200661, 0.9969682097434998, 0.9998348951339722 ], [ 0.2462146282196045, 0.25925758481025696, 0.1475120633840561, 0.0998324379324913, 0.4327862858772278, 0.0006180512718856335 ], [ 0.023040268570184708, 0.021436519920825958, 0.9912194609642029, 0.9995661377906799 ], [ 0.02454986236989498, 0.5597584843635559, 0.9986091256141663, 0.9998183846473694 ], [ 0.09492460638284683, 0.07989849150180817, 0.996576726436615, 0.9997944235801697, 0.999784529209137 ], [ 0.1559717059135437, 0.08464635163545609, 0.23772099614143372, 0.12646597623825073, 0.998869001865387, 0.9998880624771118 ], [ 0.08067701756954193, 0.027832912281155586, 0.028503403067588806, 0.9893203973770142, 0.9749017953872681, 0.9996362924575806 ], [ 0.04615611582994461, 0.9802902340888977, 0.9997660517692566 ] ] }, { "q_id": "8019_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.39903128147125244, 0.2535941004753113, 0.005602200515568256, 0.9959455132484436, 0.9992566704750061 ], [ 0.007331931497901678, 0.13729722797870636, 0.01184342335909605, 0.0019187224097549915, 0.9977061748504639, 0.9993098974227905 ], [ 0.010838531889021397, 0.2832769453525543, 0.2537437677383423, 0.06339164823293686, 0.0005477285012602806, 0.9979639053344727, 0.9993757605552673 ], [ 0.8217169046401978, 0.0001009931875159964, 0.9972116351127625, 0.012620688416063786, 0.008968422189354897 ], [ 0.2527381479740143, 0.2981319725513458, 0.0649438351392746, 0.03201334923505783, 0.996329128742218, 0.9990161657333374 ], [ 0.5532535910606384, 0.16884304583072662, 0.9910776615142822 ], [ 0.01754956878721714, 0.2708674669265747, 0.006798213813453913, 0.9948038458824158, 0.004082881845533848 ], [ 0.0009004218154586852, 0.2214554101228714, 0.005627049133181572, 0.06343385577201843, 0.00011816198821179569, 0.9966096878051758, 0.9879748821258545, 0.9956483244895935 ], [ 0.061198461800813675, 0.45074161887168884, 0.1366015374660492, 0.06968986243009567, 0.9970008730888367, 0.9989109039306641 ], [ 0.3007736802101135, 0.18926970660686493, 0.06758343428373337, 0.05889740586280823, 0.9978212118148804, 0.9988850951194763, 0.9994896650314331 ], [ 0.04017317295074463, 0.21575838327407837, 0.11363663524389267, 0.09631752967834473, 0.014802895486354828, 0.9985634684562683, 0.9995481371879578 ], [ 0.039248209446668625, 0.23230129480361938, 0.11636098474264145, 0.9979512095451355, 0.9987634420394897, 0.04725375026464462, 0.9968684315681458 ], [ 0.0998065322637558, 0.350345641374588, 0.04771073907613754, 0.03334072604775429, 0.006600487045943737, 0.0002307340910192579, 0.997275173664093, 0.9954901337623596 ], [ 0.012433899566531181, 0.41632938385009766, 0.38904252648353577, 0.1759958118200302, 0.08812756091356277, 0.996576726436615, 0.9917097687721252 ], [ 0.0089258486405015, 0.009534330107271671, 0.0021016323007643223 ], [ 0.13128946721553802, 0.07731283456087112, 0.02137800306081772, 0.034439053386449814, 0.10860325396060944, 0.9947062134742737, 0.9708915948867798 ] ] }, { "q_id": "8732_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.7238254547119141, 0.041631489992141724, 0.04531419649720192, 0.2737452983856201, 0.1683414727449417, 0.12209319323301315, 0.06419195979833603, 0.005786413326859474 ], [ 0.14570356905460358, 0.08388350158929825, 0.018648792058229446, 0.0035086809657514095 ], [ 0.25806543231010437, 0.05406781658530235, 0.05685748904943466, 0.005973547697067261 ], [ 0.3541708290576935, 0.02595856413245201, 0.03841463848948479, 0.04508281871676445, 0.26888760924339294, 0.1416081190109253, 0.11420002579689026, 0.05637311190366745, 0.0046669188886880875 ], [ 0.26991894841194153, 0.03352370485663414, 0.02006116509437561, 0.018710002303123474, 0.029146255925297737, 0.004830904770642519 ], [ 0.07820061594247818, 0.12560589611530304, 0.0786886140704155, 0.027334369719028473, 0.035223886370658875, 0.0067338175140321255 ], [ 0.6624072790145874, 0.04947260767221451, 0.04898284375667572, 0.2820316255092621, 0.18831028044223785, 0.10480966418981552, 0.05673247203230858, 0.00533710652962327 ], [ 0.03905145823955536, 0.13682664930820465, 0.05748984217643738, 0.10754439234733582, 0.006624991074204445 ], [ 0.1059943214058876, 0.19541402161121368, 0.05868134647607803, 0.024793075397610664, 0.0049844784662127495 ], [ 0.1394495964050293, 0.02843432128429413, 0.046139705926179886, 0.2172372043132782, 0.17207378149032593, 0.12816064059734344, 0.05647534504532814, 0.05244918167591095, 0.008109739981591702 ], [ 0.17666946351528168, 0.04618433490395546, 0.09285493195056915, 0.05073218047618866, 0.37422606348991394, 0.005130364093929529 ], [ 0.06264311075210571, 0.1718786656856537, 0.02548024244606495, 0.05272280424833298, 0.00636622728779912 ], [ 0.15704454481601715, 0.04499752074480057, 0.03930163383483887, 0.08642710745334625, 0.1162593811750412, 0.1076774150133133, 0.06920619308948517, 0.10472933948040009, 0.005841201636940241 ], [ 0.3960077166557312, 0.02330068126320839, 0.026322899386286736, 0.005473942495882511 ], [ 0.4000824987888336, 0.11762033402919769, 0.17923855781555176, 0.0145943071693182, 0.3089617192745209, 0.15782000124454498, 0.005704576149582863 ] ] }, { "q_id": "7949_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6380693912506104, 0.21251589059829712, 0.9590278267860413, 0.9951642751693726 ], [ 0.8186581134796143, 0.08501870185136795, 0.9543130397796631, 0.9883342981338501 ], [ 0.9384852051734924, 0.11141873896121979, 0.6437616944313049, 0.9259772896766663 ], [ 0.8186560273170471, 0.5659803748130798, 0.9956087470054626, 0.9969484210014343 ], [ 0.8705607056617737, 0.23677586019039154, 0.9385444521903992, 0.9841766357421875 ], [ 0.4825575649738312, 0.5879409909248352, 0.30432581901550293, 0.9032394886016846, 0.9864789843559265 ], [ 0.9242449402809143, 0.07993621379137039, 0.2527807652950287, 0.9839074611663818, 0.9960048794746399 ], [ 0.5374786257743835, 0.654244601726532, 0.04707113653421402, 0.05878647416830063, 0.03133215755224228, 0.4383819103240967, 0.9815607666969299, 0.9944340586662292 ], [ 0.9318463206291199, 0.5600621104240417, 0.9956710338592529, 0.9987064599990845 ], [ 0.9215975999832153, 0.21518079936504364, 0.4982764720916748 ], [ 0.9393966197967529, 0.007039181888103485 ], [ 0.9455394744873047, 0.06983471661806107, 0.8435866832733154, 0.9792476892471313 ], [ 0.7706377506256104, 0.03768758475780487, 0.08898529410362244, 0.02793925628066063, 0.013109137304127216, 0.16758844256401062, 0.07086293399333954 ], [ 0.8700320720672607, 0.0537814162671566, 0.4111352264881134, 0.34669846296310425, 0.990865170955658, 0.9975326061248779 ], [ 0.8813202381134033, 0.10549256205558777, 0.9689894914627075, 0.988226592540741 ], [ 0.816652774810791, 0.5049687027931213, 0.9603641629219055, 0.9933933615684509 ] ] }, { "q_id": "8215_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.03223564103245735, 0.029284769669175148, 0.07425486296415329, 0.048504382371902466, 0.016560131683945656, 0.02482655458152294, 0.0507713221013546, 0.04892838001251221, 0.03645269572734833 ], [ 0.09340108186006546, 0.17765435576438904, 0.17399588227272034, 0.33345121145248413, 0.5862261056900024, 0.06625394523143768, 0.034106332808732986 ], [ 0.10890376567840576, 0.31427493691444397, 0.04835096374154091, 0.45653870701789856, 0.3671673536300659, 0.0920366421341896, 0.009338599629700184 ], [ 0.22905777394771576, 0.2633073031902313, 0.4329654276371002, 0.12227433174848557, 0.03546174615621567 ], [ 0.5754857063293457, 0.057447951287031174, 0.12494760751724243, 0.10988198220729828, 0.06767871230840683, 0.044611476361751556, 0.1176062673330307, 0.030431415885686874 ], [ 0.33960235118865967, 0.14759428799152374, 0.4845113158226013, 0.3586583733558655, 0.12979862093925476, 0.11641796678304672, 0.05856994912028313, 0.24803154170513153, 0.2365998774766922, 0.2780395746231079, 0.793041467666626, 0.07382266968488693 ], [ 0.3609749376773834, 0.281473308801651, 0.08965513855218887, 0.07613315433263779, 0.613881528377533, 0.047965358942747116, 0.021863538771867752, 0.020305585116147995, 0.041276026517152786, 0.49565672874450684, 0.042300745844841, 0.029245145618915558, 0.07044052332639694, 0.1995401233434677, 0.14968158304691315, 0.1834157258272171, 0.13448920845985413, 0.08447221666574478, 0.09580733627080917, 0.04417220875620842 ], [ 0.1556730717420578, 0.05701589211821556, 0.13747788965702057, 0.31512734293937683, 0.6172485947608948, 0.031815558671951294 ], [ 0.09771557152271271, 0.13044732809066772, 0.027414731681346893 ], [ 0.06406614929437637, 0.17638054490089417, 0.012801983393728733, 0.2839355170726776, 0.22910280525684357, 0.00868653692305088, 0.029027080163359642, 0.05391576513648033, 0.004364700522273779, 0.06719794124364853, 0.04682780057191849, 0.020911749452352524 ], [ 0.9446878433227539, 0.07255760580301285, 0.04917304590344429, 0.08078396320343018, 0.23121638596057892, 0.20810353755950928, 0.0644984096288681, 0.002986893057823181, 0.027284031733870506, 0.03221411630511284, 0.036922767758369446, 0.07476905733346939, 0.0708477720618248, 0.12075488269329071, 0.1083921492099762, 0.0928211584687233, 0.10136175155639648, 0.08502081781625748, 0.08296526223421097, 0.3006099462509155, 0.24006080627441406, 0.050704214721918106 ], [ 0.035633694380521774, 0.14279904961585999, 0.007128252647817135, 0.10659832507371902, 0.07802768796682358, 0.05378546938300133, 0.032361216843128204, 0.02761182375252247, 0.04302285984158516, 0.0486430898308754 ], [ 0.2334471046924591, 0.21023038029670715, 0.10599179565906525, 0.33595702052116394, 0.1054159551858902, 0.23815520107746124, 0.01708742417395115, 0.48665788769721985, 0.03422302007675171, 0.016399802640080452, 0.2780008018016815, 0.03445201367139816, 0.047882068902254105, 0.05719121918082237, 0.19733719527721405, 0.006210873834788799, 0.016427848488092422, 0.713559091091156, 0.613409161567688, 0.023644331842660904 ], [ 0.28270918130874634, 0.3731573522090912, 0.35043951869010925, 0.04800105467438698, 0.03056558407843113 ], [ 0.277981162071228, 0.22799311578273773, 0.3628208041191101, 0.2515595257282257, 0.266048401594162, 0.5540008544921875, 0.2069212794303894, 0.031129416078329086 ], [ 0.3116113543510437, 0.2508609890937805, 0.2101881057024002, 0.5850974917411804, 0.361510694026947, 0.15222063660621643, 0.27255508303642273, 0.11618372052907944, 0.8605651259422302, 0.03140980750322342 ] ] }, { "q_id": "8454_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3968408405780792, 0.6024314761161804, 0.9834222793579102, 0.996393620967865 ], [ 0.7701513171195984, 0.022412138059735298, 0.37726637721061707, 0.9330116510391235 ], [ 0.4533807337284088, 0.8848508596420288 ], [ 0.37606558203697205, 0.8060042858123779, 0.8435702919960022 ], [ 0.011174236424267292, 0.008723548613488674, 0.01178728137165308, 0.009183197282254696, 0.8025285005569458, 0.009198912419378757 ], [ 0.5353245139122009, 0.04137549176812172, 0.7060966491699219, 0.9614191651344299 ], [ 0.9569364190101624, 0.9676782488822937 ], [ 0.8628013730049133, 0.016963118687272072, 0.025120140984654427, 0.800910472869873 ], [ 0.9522215127944946, 0.4223044514656067 ], [ 0.6550357341766357, 0.6984050869941711, 0.050882574170827866 ], [ 0.962006688117981, 0.837880551815033 ], [ 0.7491891384124756, 0.05707227438688278, 0.7045268416404724, 0.9491478800773621, 0.9130652546882629 ], [ 0.754036545753479, 0.912551999092102, 0.8615527153015137, 0.1280522495508194, 0.9629956483840942 ], [ 0.37201225757598877, 0.018488725647330284, 0.8302639722824097, 0.9766625165939331, 0.14337243139743805, 0.9782600998878479 ], [ 0.9141492247581482, 0.028554176911711693, 0.9915054440498352 ], [ 0.5677027702331543, 0.1487172394990921, 0.9871091842651367 ] ] }, { "q_id": "7951_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.08209408819675446, 0.24200133979320526, 0.9961361289024353, 0.9986683130264282 ], [ 0.621719241142273, 0.8788413405418396, 0.0497797392308712, 0.42037519812583923, 0.07168661803007126, 0.2086668461561203, 0.04950127378106117, 0.04960858076810837, 0.030023936182260513, 0.16488158702850342, 0.09460648894309998, 0.2640458643436432, 0.16162988543510437, 0.9880024194717407, 0.9956104159355164 ], [ 0.10383231937885284, 0.08832880109548569, 0.21712014079093933, 0.99540114402771, 0.9986360669136047 ], [ 0.2746044397354126, 0.9298121333122253, 0.6153272986412048, 0.15646277368068695, 0.14789071679115295, 0.15741632878780365, 0.13662223517894745, 0.18644662201404572, 0.3417787551879883, 0.9916223883628845, 0.9976796507835388 ], [ 0.06632959097623825, 0.13763044774532318, 0.3541136682033539, 0.15943633019924164, 0.9929516911506653, 0.9969430565834045 ], [ 0.026340467855334282, 0.18302789330482483, 0.9927445650100708, 0.996703565120697 ], [ 0.9769666790962219, 0.051763396710157394, 0.08954082429409027, 0.12344439327716827, 0.34364086389541626, 0.9969479441642761, 0.9993559718132019 ], [ 0.9934566617012024, 0.9965779185295105 ], [ 0.09825488924980164, 0.16098067164421082, 0.9948209524154663, 0.9973390698432922 ], [ 0.2004314810037613, 0.09146036952733994, 0.045201122760772705 ], [ 0.18945972621440887, 0.8886601328849792, 0.5676372647285461, 0.06880387663841248, 0.1344611644744873, 0.36775892972946167, 0.023851200938224792, 0.7230052947998047, 0.4590989947319031, 0.885662317276001, 0.9721798896789551 ], [ 0.04983001947402954, 0.052802715450525284, 0.022865410894155502 ], [ 0.35568177700042725, 0.0579649917781353, 0.2566886842250824, 0.9963499307632446, 0.9990819692611694 ], [ 0.2687704563140869, 0.9382390975952148, 0.983716607093811 ], [ 0.40069517493247986, 0.10935774445533752, 0.189679354429245, 0.13785183429718018, 0.14122125506401062, 0.9893403649330139, 0.9971508383750916 ] ] }, { "q_id": "8910_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.23583374917507172, 0.06534793227910995, 0.03759179636836052, 0.037800416350364685, 0.03066982887685299, 0.9921935796737671, 0.9990382194519043 ], [ 0.9680842757225037, 0.12360003590583801, 0.9045162200927734, 0.9688665270805359, 0.9990672469139099, 0.9998224377632141 ], [ 0.6153961420059204, 0.36430081725120544, 0.07492966204881668, 0.764133095741272, 0.1961551159620285, 0.8332020044326782, 0.9994039535522461, 0.9999045133590698 ], [ 0.9199029803276062, 0.9627857804298401, 0.00210984842851758 ], [ 0.3213709592819214, 0.2377965897321701, 0.08047076314687729, 0.05071397125720978, 0.06787174195051193, 0.1637071669101715, 0.20422811806201935, 0.8377369046211243, 0.35202744603157043, 0.9813034534454346, 0.9859602451324463, 0.9911929965019226 ], [ 0.9199046492576599, 0.9988191723823547, 0.9996248483657837 ], [ 0.9989809393882751, 0.9995237588882446 ], [ 0.9259639382362366, 0.8597750663757324, 0.8896430730819702, 0.9964399933815002, 0.9977656602859497 ], [ 0.9677850604057312, 0.9674119353294373, 0.8671804666519165, 0.0004123251710552722 ], [ 0.8206261396408081, 0.9525343179702759, 0.9987131357192993, 0.9996384382247925 ], [ 0.786002516746521, 0.5610194206237793, 0.989793062210083, 0.0018832898931577802 ], [ 0.8042781352996826, 0.96294766664505, 0.003461805870756507 ], [ 0.9990803003311157, 0.9995203018188477 ], [ 0.9900834560394287, 0.9238190054893494, 0.9436591267585754, 0.8821130990982056, 0.9980491399765015, 0.999776303768158 ], [ 0.2611878216266632, 0.03458414599299431, 0.2130637764930725, 0.4079052805900574, 0.5542855262756348 ], [ 0.7114761471748352, 0.8985708355903625, 0.9449169635772705, 0.1676277071237564, 0.9457287192344666, 0.8163790106773376, 0.9979494214057922, 0.9998366832733154 ] ] }, { "q_id": "8917_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3861798346042633, 0.577461838722229, 0.31763872504234314, 0.626882791519165, 0.6056569218635559, 0.9706535339355469, 0.9995437264442444 ], [ 0.7291412353515625, 0.3345949947834015, 0.7725251317024231, 0.9975070357322693, 0.9995989203453064 ], [ 0.42813825607299805, 0.8259999752044678, 0.9884540438652039, 0.9990847110748291 ], [ 0.5983093976974487, 0.29297977685928345, 0.7587804794311523, 0.9702336192131042, 0.9991242289543152 ], [ 0.47722986340522766, 0.4617460370063782, 0.80757075548172, 0.9802619218826294, 0.9991878867149353 ], [ 0.5526732802391052, 0.680805504322052, 0.9960252046585083, 0.9989041090011597 ], [ 0.3311138451099396, 0.04603991657495499, 0.038156285881996155, 0.01550697535276413, 0.04886028170585632, 0.06772298365831375, 0.02531634271144867, 0.05131467804312706, 0.977299690246582, 0.995593249797821 ], [ 0.8232467770576477, 0.62706458568573, 0.3664626479148865, 0.8871904015541077, 0.5521690249443054, 0.9935473799705505, 0.9996331930160522 ], [ 0.4546569585800171, 0.8770439624786377, 0.995069146156311, 0.9994645714759827 ], [ 0.7640925645828247, 0.013575238175690174, 0.4516051709651947, 0.0651816576719284, 0.6862564086914062, 0.3342731297016144, 0.9536299705505371, 0.9993307590484619 ], [ 0.022201744839549065, 0.536818265914917, 0.21256937086582184, 0.6052573919296265, 0.41580691933631897, 0.9840549826622009, 0.9997618794441223 ], [ 0.35994604229927063, 0.8426007628440857, 0.99000483751297, 0.9992396831512451 ], [ 0.35010582208633423, 0.7211226224899292, 0.984184741973877, 0.9986281394958496 ], [ 0.937964141368866, 0.9937885403633118, 0.9995976090431213 ], [ 0.9976123571395874, 0.9996028542518616 ], [ 0.6262815594673157, 0.4353037476539612, 0.8434074521064758, 0.9909859895706177, 0.99956876039505 ] ] }, { "q_id": "7852_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3125589191913605, 0.8743751049041748, 0.9963099360466003 ], [ 0.028985988348722458, 0.7764685153961182, 0.9961250424385071 ], [ 0.12474817782640457, 0.9902889728546143 ], [ 0.10375185310840607, 0.10845054686069489, 0.07916446030139923, 0.8970876336097717, 0.9969221949577332 ], [ 0.02894175425171852, 0.03534926846623421, 0.03702925890684128, 0.043655235320329666, 0.023478800430893898, 0.04404815658926964, 0.3073500990867615, 0.9933710098266602 ], [ 0.025329450145363808, 0.13158449530601501, 0.043176665902137756, 0.05134375020861626, 0.7298282384872437, 0.9945476651191711 ], [ 0.022590210661292076, 0.09752792865037918, 0.09066148102283478, 0.0965881422162056, 0.12946319580078125, 0.08345437794923782, 0.9896649718284607 ], [ 0.5543360710144043, 0.9948262572288513 ], [ 0.04110253229737282, 0.03535344451665878, 0.049032460898160934, 0.9205350875854492, 0.9953324198722839 ], [ 0.023053904995322227, 0.0674392580986023, 0.9899097681045532, 0.9921182990074158 ], [ 0.02829146571457386, 0.1262742578983307, 0.2869362533092499, 0.8819903135299683, 0.9485623240470886, 0.9975816011428833 ], [ 0.01948222704231739, 0.017278365790843964, 0.9903348088264465 ], [ 0.0921713337302208, 0.22684307396411896, 0.9904346466064453 ], [ 0.027730843052268028, 0.052475493401288986, 0.04204666614532471, 0.10309851169586182, 0.6392662525177002, 0.9920503497123718 ], [ 0.02015034854412079, 0.03333427384495735, 0.030875055119395256, 0.0673544704914093, 0.09393279999494553, 0.991934061050415 ], [ 0.03243989497423172, 0.02279304340481758, 0.2961360514163971, 0.9930840730667114 ] ] }, { "q_id": "8757_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.31176093220710754, 0.2815037667751312, 0.12432529777288437, 0.00658926647156477, 0.22290408611297607, 0.13913413882255554, 0.9982457160949707, 0.9998114705085754 ], [ 0.4737423062324524, 0.3488788604736328, 0.01926492154598236, 0.4619513154029846, 0.2071000635623932, 0.9986951947212219, 0.9998865127563477 ], [ 0.39860785007476807, 0.5949764847755432, 0.3787539303302765, 0.013116332702338696, 0.35540884733200073, 0.3296072483062744, 0.05620122700929642, 0.0014441200764849782, 0.9983125925064087, 0.9997946619987488 ], [ 0.2920515537261963, 0.28783977031707764, 0.12788425385951996, 0.017926376312971115, 0.26015031337738037, 0.1446799337863922, 0.9983518123626709, 0.9998575448989868 ], [ 0.324658066034317, 0.0822209045290947, 0.1156843826174736, 0.3201276659965515, 0.19445759057998657, 0.013601833954453468, 0.0014663340989500284, 0.9973601698875427, 0.9995986819267273 ], [ 0.5314715504646301, 0.7170697450637817, 0.2985191345214844, 0.15002188086509705, 0.3388887941837311, 0.13531151413917542, 0.9983611702919006, 0.9998624324798584 ], [ 0.2730868458747864, 0.08431558310985565, 0.29419219493865967, 0.0007493965094909072, 0.03449422866106033, 0.08025931566953659, 0.34707602858543396, 0.05273900181055069, 0.9983514547348022, 0.999816358089447 ], [ 0.2690922021865845, 0.2784387767314911, 0.3905841112136841, 0.13584241271018982, 0.9985032081604004, 0.9998390674591064 ], [ 0.36102017760276794, 0.2809094786643982, 0.13630957901477814, 0.034410491585731506, 0.9982296824455261, 0.9998311996459961 ], [ 0.3313818871974945, 0.013022058643400669, 0.99847012758255, 0.999797523021698 ], [ 0.5743877291679382, 0.3512880206108093, 0.28738439083099365, 0.22436632215976715, 0.06943750381469727, 0.11166439950466156, 0.9982587695121765, 0.999825656414032 ], [ 0.4142574667930603, 0.28304523229599, 0.34674715995788574, 0.009116139262914658, 0.10859891027212143, 0.9987163543701172, 0.9998263716697693 ], [ 0.38119593262672424, 0.27551427483558655, 0.19843752682209015, 0.3601982295513153, 0.14248259365558624, 0.9984850287437439, 0.9998296499252319 ], [ 0.8470818996429443, 0.6271698474884033, 0.32922446727752686, 0.0905260220170021, 0.3318103849887848, 0.339175820350647, 0.028368845582008362, 0.0019547848496586084, 0.998519241809845, 0.9998351335525513 ], [ 0.7463757395744324, 0.9983342289924622, 0.9998337030410767 ], [ 0.450457364320755, 0.3314835727214813, 0.17094938457012177, 0.9984238147735596, 0.9998270869255066 ] ] }, { "q_id": "8246_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9140976071357727, 0.9977720379829407, 0.00041675681131891906 ], [ 0.26396259665489197, 0.1345510333776474, 0.7522523999214172, 0.9994125366210938, 0.9999617338180542 ], [ 0.1651817411184311, 0.15496917068958282, 0.8073951601982117, 0.9989635944366455, 0.9999324083328247 ], [ 0.4671664237976074, 0.27837538719177246, 0.9779573082923889, 0.9998975992202759 ], [ 0.38069993257522583, 0.9984845519065857, 0.00041705049807205796 ], [ 0.4394170343875885, 0.2233065962791443, 0.9978891015052795, 0.0004008223186247051 ], [ 0.1509719341993332, 0.17544962465763092, 0.7676805257797241, 0.9991024732589722, 0.9999362230300903 ], [ 0.8006882071495056, 0.2290787398815155, 0.01374979317188263, 0.17443959414958954, 0.017221523448824883, 0.7753223776817322, 0.999366819858551, 0.9999665021896362 ], [ 0.7165992259979248, 0.08797784894704819, 0.0569487102329731, 0.9933306574821472, 0.0005312106222845614 ], [ 0.16318273544311523, 0.07358124852180481, 0.9987002611160278, 0.9999405145645142 ], [ 0.646586000919342, 0.11694702506065369, 0.07808098196983337, 0.9975559711456299, 0.9999451637268066 ], [ 0.5771130323410034, 0.13521169126033783, 0.12463826686143875, 0.1487596184015274, 0.6491553783416748, 0.9982923865318298, 0.9999619722366333 ], [ 0.49152693152427673, 0.19307978451251984, 0.9676808714866638, 0.9991674423217773, 0.9999431371688843 ], [ 0.4388427436351776, 0.16815251111984253, 0.986199140548706, 0.9998728036880493 ], [ 0.10035976767539978, 0.06512757390737534, 0.25166621804237366, 0.0012216712348163128 ], [ 0.7782760858535767, 0.296673059463501, 0.04676201567053795, 0.8593736886978149, 0.9992876648902893, 0.9999518394470215 ] ] }, { "q_id": "8110_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.143575519323349, 0.5971683859825134, 0.42441678047180176, 0.19034932553768158, 0.5362848043441772, 0.05441661179065704, 0.00984834972769022 ], [ 0.023000944405794144, 0.41829994320869446, 0.716731607913971, 0.397211492061615, 0.16053785383701324, 0.41433337330818176 ], [ 0.22867460548877716, 0.05578575283288956, 0.909391462802887, 0.9909471273422241, 0.35085928440093994, 0.4017695486545563 ], [ 0.25148457288742065, 0.22411978244781494, 0.19420860707759857, 0.2685806453227997, 0.08607776463031769, 0.7939661145210266, 0.7246766686439514, 0.28655844926834106, 0.028822297230362892, 0.0089540034532547 ], [ 0.4931020140647888, 0.09212909638881683, 0.011564933694899082, 0.08371136337518692, 0.06388944387435913, 0.011583912186324596 ], [ 0.05146709829568863, 0.19757021963596344, 0.3499206304550171, 0.30008018016815186, 0.7310625314712524, 0.188674658536911, 0.6272948384284973, 0.9226489663124084, 0.05766687169671059, 0.010428938083350658 ], [ 0.29651597142219543, 0.04194648191332817, 0.0021690879948437214, 0.35922694206237793, 0.27924844622612, 0.26718011498451233, 0.6967002153396606, 0.7079106569290161, 0.0454910583794117, 0.08089563995599747, 0.014833790250122547 ], [ 0.1505350023508072, 0.01301349513232708, 0.10220485925674438, 0.21030361950397491, 0.046587731689214706, 0.08388844132423401, 0.08007154613733292, 0.13661256432533264, 0.10295301675796509, 0.08494818210601807, 0.15882325172424316, 0.11538130044937134, 0.06180281937122345, 0.02423286624252796, 0.010756547562777996 ], [ 0.5315430164337158, 0.014421220868825912, 0.03514442965388298, 0.6095418930053711, 0.389611154794693, 0.2866066098213196, 0.23271629214286804, 0.6306671500205994, 0.2947162389755249, 0.11510583013296127, 0.842962920665741, 0.6567745804786682, 0.02749713510274887, 0.011142794974148273 ], [ 0.48428791761398315, 0.8971987962722778, 0.04273735359311104, 0.9603258967399597, 0.05761339142918587, 0.06778056919574738, 0.010066376067698002, 0.1163119524717331, 0.1672379970550537, 0.03705701604485512, 0.12579235434532166, 0.07724058628082275, 0.06115946173667908, 0.7398223280906677, 0.407417893409729, 0.1219744011759758, 0.0569041483104229, 0.005998299457132816 ], [ 0.22279030084609985, 0.01088281162083149, 0.007535039447247982, 0.03862070292234421, 0.08516986668109894, 0.33163565397262573, 0.0011823840904980898, 2.8644109988817945e-05, 0.08735247701406479, 0.04680335149168968, 0.510685384273529, 0.11371585726737976, 0.18197330832481384, 0.1145874485373497, 0.017114778980612755, 0.0065926252864301205 ], [ 0.13479876518249512, 0.05966275557875633, 0.27722814679145813, 0.29500603675842285, 0.035584766417741776, 0.007411827798932791 ], [ 0.3794655203819275, 0.20149418711662292, 0.7523826956748962, 0.4802696704864502, 0.8897497057914734, 0.5997909903526306 ], [ 0.046226728707551956, 0.26212644577026367, 0.389397531747818, 0.3418625593185425, 0.04783425107598305, 0.0353693813085556, 0.042576372623443604, 0.5027145743370056, 0.3215462267398834, 0.04666005074977875, 0.592577338218689, 0.6259276866912842, 0.008812067098915577 ], [ 0.20082204043865204, 0.05489620938897133, 0.026828082278370857, 0.06524299085140228, 0.03510838747024536, 0.052026230841875076, 0.01676533930003643 ] ] }, { "q_id": "7840_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6818833947181702, 0.3424907922744751, 0.053357671946287155, 0.34183189272880554, 0.19612498581409454, 0.5112119317054749, 0.2742948830127716, 0.9931663870811462, 0.9037217497825623 ], [ 0.542286217212677, 0.13637550175189972, 0.2771145701408386, 0.18238328397274017, 0.35274025797843933, 0.055604416877031326 ], [ 0.5332869291305542, 0.15994544327259064, 0.09441367536783218, 0.006968495901674032, 0.1050444170832634, 0.7551790475845337, 0.0114688565954566, 0.20510582625865936, 0.013802878558635712, 0.14790543913841248, 0.047755755484104156, 0.26898708939552307, 0.02179567515850067, 0.04641052335500717, 0.009357167407870293 ], [ 0.5944234132766724, 0.2529674172401428, 0.0932609960436821, 0.014610479585826397, 0.07853088527917862, 0.012294884771108627, 0.272848904132843, 0.2662438154220581, 0.3212355971336365, 0.12643249332904816, 0.9909762740135193, 0.9683554768562317 ], [ 0.5647915601730347, 0.10430951416492462, 0.27513617277145386, 0.04927203059196472, 0.9765401482582092, 0.9503266215324402 ], [ 0.5548519492149353, 0.4523908495903015, 0.2721148431301117, 0.08330648392438889, 0.11377618461847305, 0.3482021391391754, 0.054176460951566696, 0.0894944965839386, 0.07998929172754288, 0.059998273849487305, 0.0398884192109108, 0.044107165187597275, 0.025062195956707, 0.2992097735404968, 0.029375726357102394, 0.9838622212409973, 0.9378530383110046 ], [ 0.6401762962341309, 0.3156699240207672, 0.13190680742263794, 0.14908677339553833, 0.4298936128616333, 0.2245839685201645, 0.24825645983219147, 0.0025895799044519663 ], [ 0.7401299476623535, 0.33216357231140137, 0.11454343050718307, 0.32365894317626953, 0.25606095790863037, 0.28671300411224365, 0.12915228307247162, 0.9835398197174072, 0.9647013545036316 ], [ 0.7070481777191162, 0.03051857091486454 ], [ 0.6767633557319641, 0.34481683373451233, 0.06829269975423813, 0.2308613657951355, 0.14099982380867004, 0.11423240602016449, 0.1263219714164734, 0.9532595872879028, 0.15768809616565704 ], [ 0.6638320088386536, 0.4135259687900543, 0.11300523579120636, 0.12609343230724335, 0.07722869515419006, 0.04759133234620094, 0.011161631904542446, 0.9845974445343018, 0.9222625494003296 ], [ 0.09915641695261002, 0.5910424590110779, 0.3194747865200043, 0.17242290079593658, 0.98788982629776, 0.3785912096500397 ], [ 0.1045062392950058, 0.08328838646411896, 0.011279274709522724, 0.36210182309150696, 0.154692605137825, 0.18874379992485046, 0.9581458568572998, 0.8884284496307373 ], [ 0.7655144333839417, 0.9844298362731934, 0.49784842133522034 ], [ 0.9575578570365906, 0.16717711091041565, 0.12897872924804688, 0.12822553515434265, 0.14086511731147766, 0.9862663745880127, 0.9273341298103333 ] ] }, { "q_id": "8841_mmlu_math", "cot_ids": [ 0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.020128944888710976, 0.06991994380950928, 0.0617518275976181, 0.04230886325240135, 0.03954218700528145, 0.0026722128968685865 ], [ 0.020697537809610367, 0.04543639346957207, 0.19343602657318115, 0.10604462027549744, 0.13286630809307098, 0.02778453379869461, 0.0070836725644767284 ], [ 0.027854789048433304, 0.08912687748670578, 0.1152210459113121, 0.185687854886055, 0.9873679280281067, 0.9949895739555359 ], [ 0.03595518320798874, 0.034541238099336624, 0.06743691116571426, 0.1596011519432068, 0.12648436427116394, 0.22058527171611786, 0.062327224761247635, 0.02331639640033245, 0.0029241268057376146 ], [ 0.024183878675103188, 0.03761930391192436, 0.06320095807313919, 0.049119919538497925, 0.16771002113819122, 0.07132722437381744, 0.08401007205247879, 0.05659427493810654, 0.04685826972126961, 0.02934519201517105, 0.04055431857705116, 0.04891502857208252, 0.003625514218583703 ], [ 0.04396631196141243, 0.16030634939670563, 0.14504095911979675, 0.00462921941652894 ], [ 0.02832973003387451, 0.057146936655044556, 0.1021002009510994, 0.11255265027284622, 0.1517135202884674, 0.959466814994812, 0.9915286302566528 ], [ 0.0981827974319458, 0.052130866795778275, 0.11647806316614151, 0.02695629559457302, 0.0489017590880394, 0.1591510772705078, 0.07915452122688293, 0.0029658996500074863, 0.758755087852478, 0.9848489165306091 ], [ 0.02937297709286213, 0.09601341187953949, 0.05072588473558426, 0.035470131784677505, 0.07164623588323593, 0.09271978586912155, 0.1681697815656662, 0.08786454796791077, 0.04085136204957962, 0.03403044864535332, 0.051652103662490845, 0.057271912693977356, 0.0585658997297287, 0.15971748530864716, 0.13860969245433807, 0.11022193729877472, 0.16145996749401093, 0.19237112998962402, 0.1139105036854744, 0.05778195336461067, 0.07986905425786972, 0.041110746562480927, 0.09323929995298386, 0.005381718743592501 ], [ 0.05060742422938347, 0.06613463163375854, 0.05175286531448364, 0.10723593831062317, 0.05207041651010513, 0.07035575807094574, 0.03276566043496132, 0.14947639405727386, 0.11681152880191803, 0.06378232687711716, 0.08579687029123306, 0.07372892647981644, 0.10922503471374512, 0.07548433542251587, 0.021080030128359795, 0.048722829669713974, 0.08572576195001602, 0.0713772177696228, 0.06602257490158081, 0.030181728303432465, 0.07944996654987335, 0.08750172704458237, 0.13757048547267914, 0.09654122591018677, 0.1380869597196579, 0.1480548232793808, 0.159795880317688, 0.08512963354587555, 0.1026734933257103, 0.048809297382831573, 0.06745599210262299, 0.12218490242958069, 0.08550755679607391, 0.14753641188144684, 0.07185244560241699, 0.10249119251966476, 0.1210116520524025, 0.05880418419837952, 0.021243365481495857 ], [ 0.05922555550932884, 0.10359212756156921, 0.05723008140921593, 0.2620525658130646, 0.07563085108995438, 0.0014491582987830043 ], [ 0.0802467092871666, 0.030344152823090553, 0.07245691120624542, 0.07626651227474213, 0.21750546991825104, 0.11798903346061707, 0.9245615601539612, 0.9873319268226624 ], [ 0.024233508855104446, 0.16059009730815887, 0.1357298195362091, 0.19091449677944183, 0.9822591543197632, 0.9956889748573303 ], [ 0.2272891402244568, 0.08065400272607803, 0.16725187003612518, 0.04574495926499367, 0.0020658269058912992 ], [ 0.021769432350993156, 0.17526060342788696, 0.16148275136947632, 0.12225314974784851, 0.07848338782787323, 0.9910492897033691 ] ] }, { "q_id": "8116_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.0697798803448677, 0.01881958357989788, 0.09053850173950195, 0.0029062607791274786, 0.018723061308264732, 0.02996530756354332, 0.022243833169341087, 0.01886933296918869, 0.002803608076646924, 0.09546597301959991, 0.15848006308078766, 0.10682259500026703, 0.09849105775356293, 0.061817336827516556, 0.044034410268068314, 0.3157222867012024, 0.31435900926589966, 0.17704062163829803, 0.9439927935600281, 0.9997647404670715 ], [ 0.7531799674034119, 0.08202031999826431, 0.05887217074632645, 0.9737009406089783, 0.9996417760848999 ], [ 0.0023313662968575954, 0.009450783021748066, 0.039417754858732224, 0.015427160076797009, 0.09764786064624786, 0.3656160533428192, 0.9994564652442932 ], [ 0.9969095587730408, 0.11545273661613464, 0.068842813372612, 0.460929811000824, 0.9997240900993347 ], [ 0.2703714668750763, 0.08052140474319458, 0.9669450521469116, 0.9998229146003723 ], [ 0.9945040941238403, 0.6629188060760498, 0.9996227025985718 ], [ 0.9829856753349304, 0.05490781366825104, 0.06651084125041962, 0.39093852043151855, 0.9998102784156799 ], [ 0.40647780895233154, 0.03280381113290787, 0.025244103744626045, 0.13887065649032593, 0.0009203451918438077, 0.053883228451013565, 0.12374965101480484, 0.7486806511878967, 0.9986599683761597, 0.9999173879623413 ], [ 0.004425778519362211, 0.004099623765796423, 0.008876476436853409, 0.5017271041870117, 0.8993002772331238, 0.03896200284361839, 0.13460786640644073, 0.9954836368560791, 0.9998313188552856 ], [ 0.14832846820354462, 0.22750018537044525, 0.020007511600852013, 0.777766764163971, 0.9997683167457581 ], [ 0.0012962332693859935, 1.7593360098544508e-05, 0.038012903183698654, 0.02184137888252735, 0.03533148393034935, 0.9659146070480347, 0.9995741248130798 ], [ 0.07915553450584412, 0.07354774326086044, 0.11295364797115326, 0.0006755511276423931, 0.23298807442188263, 0.08553467690944672, 0.055667974054813385, 0.14882762730121613, 0.19124099612236023, 0.8938704133033752, 0.9996886253356934 ], [ 0.9869964122772217, 0.9997466206550598 ], [ 0.002756306203082204, 0.016416899859905243, 0.11521272361278534, 0.06294327229261398, 0.021319901570677757, 0.026764757931232452, 0.017965225502848625, 0.9066658020019531, 0.9996837377548218 ], [ 0.0017715818248689175, 0.02681359462440014, 0.01662326417863369, 0.37008988857269287, 0.04139330983161926, 0.47310638427734375, 0.9996649026870728 ], [ 0.04996400326490402, 0.04469345137476921, 0.015467598102986813, 0.2930375635623932, 0.9996479749679565 ] ] }, { "q_id": "8306_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.3169649541378021, 0.008421949110925198, 0.10049129277467728, 0.19933272898197174, 0.5550634860992432, 0.23661835491657257, 0.11542049050331116, 0.1746242642402649, 0.33357149362564087, 0.3664064109325409, 0.028855109587311745, 0.9834325909614563 ], [ 0.3478541076183319, 0.3088684678077698, 0.0065664853900671005 ], [ 0.8431010842323303, 0.40497341752052307, 0.304109662771225, 0.8795836567878723, 0.25028038024902344, 0.9704862833023071, 0.31945788860321045, 0.6621304154396057, 0.004005264490842819 ], [ 0.4222082197666168, 0.4096948206424713, 0.011763173155486584, 0.022509975358843803, 0.017411645501852036, 0.01958022452890873 ], [ 0.44908174872398376, 0.6428647041320801, 0.1173914298415184, 0.11265695840120316, 0.06351613998413086, 0.02408106066286564, 0.0024557518772780895 ], [ 0.8271080851554871, 0.012750228866934776, 0.02382148616015911, 0.31737110018730164, 0.1749965250492096, 0.1749858558177948, 0.01658877544105053, 0.9919787645339966, 0.0012428967747837305 ], [ 0.5544252395629883, 0.09513551741838455, 0.1627170443534851, 0.2730267345905304, 0.3941039741039276, 0.3792922794818878, 0.6084973812103271, 0.0069558206014335155 ], [ 0.5135672092437744, 0.24210858345031738, 0.07979296147823334, 0.824129581451416, 0.2702188193798065, 0.4947220981121063, 0.9686242938041687, 0.004009721800684929 ], [ 0.27459046244621277, 0.36063408851623535, 0.020914610475301743, 0.02523576281964779 ], [ 0.3356010913848877, 0.020815614610910416, 0.1426393687725067, 0.2242821902036667, 0.15744762122631073, 0.2712257206439972, 0.16537712514400482, 0.4974190294742584, 0.0014654099941253662 ], [ 0.003509037895128131 ], [ 0.7199349403381348, 0.02859894372522831, 0.014172879047691822, 0.7126584649085999, 0.34562748670578003, 0.007058114744722843 ], [ 0.8904471397399902, 0.007367286365479231 ], [ 0.8637714385986328, 0.9589362144470215, 0.002273069228976965 ], [ 0.10563365370035172, 0.3386361598968506, 0.5141305327415466, 0.02055630274116993, 0.696700930595398, 0.011710639111697674, 0.2626017928123474, 0.02144852839410305, 0.3083769381046295, 0.005948756355792284, 0.22256875038146973, 0.002608363050967455, 0.13052697479724884, 0.009164527989923954, 0.007398743648082018, 0.00848634634166956 ] ] }, { "q_id": "8855_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.20322251319885254, 0.07187613844871521, 0.10204605758190155, 0.05380525067448616, 0.03969047963619232, 0.02679697424173355 ], [ 0.43402165174484253, 0.14401695132255554, 0.6588800549507141, 0.08512718975543976, 0.29367899894714355, 0.253767728805542, 0.08602187782526016, 0.11187493056058884, 0.0692015141248703, 0.021836062893271446, 0.01725820079445839 ], [ 0.1170215979218483, 0.18500027060508728, 0.012391800992190838 ], [ 0.3850475251674652, 0.09695741534233093, 0.08264950662851334, 0.037417221814394 ], [ 0.5086840987205505, 0.2353353500366211, 0.2468053698539734, 0.48433244228363037, 0.01840132474899292, 0.09264800697565079, 0.10713568329811096, 0.10783905535936356, 0.009111983701586723, 0.2362186312675476, 0.3905687928199768, 0.017593879252672195, 0.031204605475068092, 0.020466815680265427, 0.7189180850982666, 0.0625770166516304, 0.05252331122756004, 0.010338472202420235 ], [ 0.133509561419487, 0.13704343140125275, 0.059920284897089005, 0.15354570746421814, 0.061385348439216614, 0.013642512261867523 ], [ 0.02969297766685486, 0.496963769197464, 0.00800161249935627, 0.7416123151779175, 0.043293729424476624, 0.1818327158689499, 0.0021804776042699814, 0.17893081903457642, 0.0020875094924122095, 0.08227460086345673, 0.026064353063702583, 0.036329109221696854, 0.015087287873029709 ], [ 0.8625175952911377, 0.16185519099235535, 0.1535748988389969, 0.09562403708696365, 0.17824558913707733, 0.5472884178161621, 0.09648312628269196, 0.08176572620868683, 0.04031343758106232, 0.011837850324809551 ], [ 0.10652224719524384, 0.05163463205099106, 0.021997153759002686 ], [ 0.5232895016670227, 0.2830556631088257, 0.7630134224891663, 0.43078145384788513, 0.04285433888435364, 0.041762351989746094 ], [ 0.2125127911567688, 0.15689776837825775, 0.06731630861759186, 0.11634004861116409, 0.0603044219315052, 0.09273690730333328, 0.12518396973609924, 0.11102280020713806, 0.15394896268844604, 0.2986189126968384, 0.02124958299100399, 0.039139218628406525, 0.027005406096577644 ], [ 0.35460546612739563, 0.08554180711507797, 0.02577098459005356, 0.18086372315883636, 0.1123075932264328, 0.03275229036808014 ], [ 0.5444008111953735, 0.22202904522418976, 0.6612045168876648, 0.2026800513267517, 0.3055990934371948, 0.2826799750328064, 0.12442173808813095 ] ] }, { "q_id": "8267_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8612892627716064, 0.053204286843538284, 0.913920521736145, 0.11144739389419556, 0.011680577881634235 ], [ 0.7356006503105164, 0.06687960773706436, 0.7867686152458191, 0.11888107657432556, 0.0051319170743227005 ], [ 0.7895467877388, 0.44940444827079773, 0.011811350472271442 ], [ 0.27388235926628113, 0.025285376235842705, 0.005027757957577705 ], [ 0.9564959406852722, 0.23207399249076843, 0.9161180257797241 ], [ 0.9892370104789734, 0.23149552941322327, 0.7023245692253113, 0.00784938782453537 ], [ 0.453029066324234, 0.111662857234478, 0.9526956677436829, 0.003873401554301381 ], [ 0.7459282875061035, 0.2858177423477173, 0.07082454860210419, 0.09045248478651047, 0.24675820767879486, 0.018423885107040405 ], [ 0.43044447898864746, 0.1739044040441513, 0.09748604893684387, 0.7495377659797668, 0.9804992079734802 ], [ 0.9636045098304749, 0.24938233196735382, 0.7321905493736267, 0.010774701833724976 ], [ 0.7786386013031006, 0.2611958086490631, 0.06252045184373856, 0.8310063481330872, 0.16327325999736786, 0.014279229566454887 ], [ 0.8486405611038208, 0.1018119603395462, 0.9462579488754272, 0.28020361065864563, 0.012557337060570717 ], [ 0.9694080948829651, 0.3103313744068146, 0.09895440936088562, 0.006225235294550657 ], [ 0.46753475069999695, 0.0615246444940567, 0.6259523630142212, 0.0068433526903390884 ], [ 0.8279107809066772, 0.06454187631607056, 0.11690418422222137, 0.8461621403694153, 0.4676859974861145, 0.04573051258921623, 0.9383864402770996, 0.05154378339648247, 0.02728983946144581 ], [ 0.7302908301353455, 0.7569466829299927, 0.1897120326757431, 0.3071464002132416, 0.011768694967031479 ] ] }, { "q_id": "8645_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5529085397720337, 0.32283875346183777, 0.18397566676139832, 0.18930886685848236, 0.19371634721755981, 0.43760719895362854, 0.08211400359869003, 0.007618498522788286, 0.0023789203260093927 ], [ 0.8779547214508057, 0.0753675103187561, 0.16435110569000244, 0.5271605849266052, 0.34372758865356445, 0.369380921125412, 0.005187620874494314, 0.22390885651111603, 0.08702255040407181, 0.1583264172077179, 0.9988371729850769 ], [ 0.24807217717170715, 0.180176243185997, 0.3625704050064087, 0.3215542137622833, 0.13363195955753326, 0.0035268738865852356, 0.0020693631377071142 ], [ 0.5876564383506775, 0.26858532428741455, 0.16366729140281677, 0.06515132635831833, 0.14165611565113068, 0.4167536497116089, 0.029318880289793015, 0.01338697224855423 ], [ 0.34381675720214844, 0.4395020604133606, 0.029749726876616478, 0.07577668875455856, 0.06700741499662399, 0.044311776757240295, 0.0019839920569211245 ], [ 0.4794631004333496, 0.02836996503174305, 0.11706850677728653, 0.2454705834388733, 0.18334117531776428, 0.6010615229606628, 0.9951322674751282, 0.9982479810714722 ], [ 0.2684354782104492, 0.3646223545074463, 0.08128523826599121, 0.17757822573184967, 0.9906103014945984, 0.9977288842201233 ], [ 0.20302918553352356, 0.13452023267745972, 0.018605250865221024, 0.0348820760846138, 0.04852243512868881, 0.019825434312224388, 0.0020708406809717417 ], [ 0.1484978049993515, 0.413198858499527, 0.2324548363685608, 0.1420312523841858, 0.06724482774734497, 0.1302834302186966, 0.2429296225309372, 0.010806718841195107, 0.001640485250391066 ], [ 0.3552321195602417, 0.31886759400367737, 0.08437497913837433, 0.5316059589385986, 0.21949481964111328, 0.13324451446533203, 0.23401093482971191, 0.013568480499088764, 0.006849376950412989 ], [ 0.4623054265975952, 0.002141084522008896, 0.4304678738117218, 0.09546568244695663, 0.011775607243180275, 0.0025557237677276134 ], [ 0.27484557032585144, 0.21451188623905182, 0.24507343769073486, 0.17346054315567017, 0.20412498712539673, 0.007276721764355898, 0.12762051820755005, 0.05976470559835434, 0.0024899865966290236 ], [ 0.1212635338306427, 0.1716582477092743, 0.5707177519798279, 0.025552624836564064, 0.9894535541534424, 0.9975051283836365 ], [ 0.4964370131492615, 0.1321883648633957, 0.260268896818161, 0.2172890305519104, 0.07799764722585678, 0.1619838923215866, 0.00951807014644146, 0.0010813226690515876 ], [ 0.5777996778488159, 0.3700128197669983, 0.21195225417613983, 0.3402933180332184, 0.1625804305076599, 0.9762440919876099, 0.997115969657898 ] ] }, { "q_id": "8240_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9831393361091614, 0.997651994228363, 0.15543775260448456 ], [ 0.9973964691162109, 0.9484958052635193, 0.9882903099060059, 0.015529965981841087 ], [ 0.9592100977897644, 0.9925714135169983, 0.008906710892915726, 0.98895263671875 ], [ 0.996745228767395, 0.8713482618331909, 0.3231215178966522, 0.2094714343547821 ], [ 0.9583994746208191, 0.9325741529464722, 0.9879422783851624, 0.9574605822563171 ], [ 0.9841220378875732, 0.6124219298362732, 0.9796736836433411, 0.9890162348747253, 0.9963663816452026, 0.020707959309220314 ], [ 0.9940940737724304, 0.9914743900299072, 0.009049266576766968 ], [ 0.867986798286438, 0.8984883427619934, 0.8732136487960815, 0.9961334466934204, 0.9969066977500916, 0.15706929564476013 ], [ 0.8151028156280518, 0.9813035726547241, 0.9889228343963623, 0.2248029261827469, 0.9912527203559875, 0.9983589053153992, 0.13038720190525055 ], [ 0.9962078332901001, 0.921435534954071, 0.9831383228302002, 0.02350493147969246 ], [ 0.993760883808136, 0.962465226650238, 0.5106307864189148 ], [ 0.9931892156600952, 0.9882944822311401, 0.9978384375572205, 0.7787514925003052 ], [ 0.9564945101737976, 0.9838559627532959, 0.9801874756813049, 0.8844854831695557, 0.9949813485145569, 0.015995081514120102 ], [ 0.9891934990882874, 0.9603832960128784, 0.14759236574172974 ], [ 0.9973964691162109, 0.8730736970901489, 0.7074285745620728, 0.9266129732131958, 0.7743680477142334, 0.9622832536697388, 0.9964349269866943, 0.2033810168504715 ], [ 0.9911268353462219, 0.9816344380378723, 0.9150415062904358, 0.9835312366485596, 0.02423712983727455 ] ] }, { "q_id": "9040_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.8391731381416321, 0.10899486392736435, 0.39484748244285583, 0.7011321187019348, 0.9996015429496765 ], [ 0.9857755899429321, 0.9996448755264282 ], [ 0.958674967288971, 0.0010399443563073874, 0.0005844192928634584 ], [ 0.6584045886993408, 0.08736715465784073, 0.000956637435592711, 0.344029039144516, 0.9971119165420532, 0.9997001886367798 ], [ 0.9512745141983032, 0.14341120421886444, 0.17883309721946716, 0.028394408524036407, 0.006196160800755024, 0.001213700626976788, 0.0006386948516592383 ], [ 0.022428693249821663, 0.362797349691391, 0.04699169844388962, 0.9993446469306946, 0.999756395816803 ], [ 0.7461529970169067, 0.1751333624124527, 0.190270334482193, 0.04690782353281975, 0.07345276325941086, 0.053459279239177704, 0.0193816926330328, 0.002218073233962059, 0.0005770439165644348 ], [ 0.8642740249633789, 0.023264875635504723, 0.16768360137939453, 0.00031402756576426327, 0.03202897310256958, 0.14772848784923553, 5.302696445141919e-05, 0.00900608766824007, 0.04521998018026352, 0.018392138183116913, 0.15016385912895203, 0.997211754322052, 0.9998250603675842 ], [ 0.01402202807366848, 0.001494541298598051, 0.0008752528810873628, 0.011970502324402332, 0.027940265834331512, 0.04509842023253441, 0.037064436823129654, 0.015777556225657463, 0.016814332455396652, 0.0217149555683136, 0.0007729609496891499 ], [ 0.8444554209709167, 0.005727685522288084, 0.136527419090271, 0.15728338062763214, 0.1696699857711792, 0.1638527363538742, 0.062033552676439285, 0.06153153255581856, 0.06369291990995407, 0.14818520843982697, 0.22948698699474335, 0.212794229388237, 0.11720510572195053, 0.9976643323898315, 0.999761164188385 ], [ 0.9621846675872803, 0.19724543392658234, 0.8012979626655579, 0.12797528505325317, 0.06055388227105141, 0.2757429778575897, 0.024364376440644264, 0.0609588623046875, 0.0826493501663208, 0.06805158406496048, 0.0025630714371800423, 0.0015736710047349334, 0.0005184700712561607 ], [ 0.7904872298240662, 0.11019828170537949, 0.2866239845752716, 0.07736578583717346, 0.2365221083164215, 0.0674557238817215, 0.03329109400510788, 0.05316106975078583, 0.0363909937441349, 0.027235515415668488, 0.004847009666264057, 0.002132166177034378, 0.0005501562845893204 ], [ 0.8493860363960266, 0.007525937631726265, 0.03895967826247215, 0.00028541748179122806 ], [ 0.9630782604217529, 0.23138126730918884, 0.11667001992464066, 0.1285346895456314, 0.020027875900268555, 0.1932656466960907, 0.10113157331943512, 0.034703128039836884, 0.06679213792085648, 0.9977092742919922, 0.999782383441925 ], [ 0.6091944575309753, 0.293594628572464, 0.028437931090593338, 0.01793319173157215, 0.9968066215515137, 0.999504566192627 ] ] }, { "q_id": "8220_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6783074736595154, 0.40401649475097656, 0.0680822804570198, 0.006318821106106043, 0.039706747978925705, 0.003009136999025941, 0.01287610549479723, 0.03582415729761124, 0.02637617662549019, 0.025315318256616592, 0.0006474010297097266 ], [ 0.6669757962226868, 0.04589058831334114, 0.00421166094020009, 0.006732000038027763, 0.0009719168301671743 ], [ 0.22997890412807465, 0.06738406419754028, 0.25490355491638184, 0.14854763448238373, 0.17079684138298035, 0.09426090121269226, 0.9994351267814636, 0.9998823404312134 ], [ 0.6291062235832214, 0.7295321226119995, 0.16019520163536072, 0.9986805319786072, 0.9998133778572083 ], [ 0.2850494086742401, 0.3024076819419861, 0.31061697006225586, 0.03784529119729996, 0.9969038367271423, 0.99988853931427 ], [ 0.1997135877609253, 0.03876669332385063, 0.33922603726387024, 0.022598667070269585, 0.2554250657558441, 0.21631750464439392, 0.1063125729560852, 0.9992179870605469, 0.9998979568481445 ], [ 0.7793514132499695, 0.09566622972488403, 0.2171528935432434, 0.15382900834083557, 0.1749928742647171, 0.050122134387493134, 0.01333669014275074, 0.9986928105354309, 0.9998362064361572 ], [ 0.12380073219537735, 0.22492794692516327, 0.18997108936309814, 0.2201138287782669, 0.008485223166644573, 0.9989443421363831, 0.999934196472168 ], [ 0.871860921382904, 0.17439641058444977, 0.12881553173065186, 0.04498237371444702, 0.009945453144609928, 0.012972933240234852, 0.0006539333262480795 ], [ 0.9966439008712769, 0.9996963739395142 ], [ 0.1273016780614853, 0.0019068643450737, 0.3072623014450073, 0.16649051010608673, 0.017231395468115807, 0.99937903881073, 0.9999089241027832 ], [ 0.5570113658905029, 0.10001438111066818, 0.06425086408853531, 0.05628133937716484, 0.04674025624990463, 0.9989426732063293, 0.9998834133148193 ], [ 0.9095935225486755, 0.12721773982048035, 0.16979530453681946, 0.39312744140625, 0.12156053632497787, 0.9992812275886536, 0.9998369216918945 ], [ 0.7299211621284485, 0.17602428793907166, 0.31863847374916077, 0.2196509689092636, 0.08880489319562912, 0.9982463121414185, 0.999863862991333 ], [ 0.02572200819849968, 0.018885813653469086, 0.0005720981862396002 ], [ 0.07981401681900024, 0.002906317822635174, 0.003496421966701746, 0.0009399818954989314 ] ] }, { "q_id": "7910_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9819490313529968, 0.0701691135764122, 0.8945573568344116, 0.8580043315887451, 0.8529559969902039, 0.835573673248291 ], [ 0.9745542407035828, 0.6348914504051208, 0.3152817189693451, 0.2634333670139313 ], [ 0.9795190691947937, 0.7212362885475159, 0.20246335864067078 ], [ 0.9805821776390076, 0.7078922986984253, 0.24594929814338684 ], [ 0.9704107642173767, 0.9293573498725891, 0.8899239301681519, 0.49580416083335876 ], [ 0.9500851631164551, 0.9105473756790161, 0.8403432369232178, 0.45088163018226624 ], [ 0.9895357489585876, 0.051979660987854004, 0.009380653500556946, 0.031027955934405327, 0.015730921179056168, 0.023729238659143448, 0.028708940371870995, 0.9285345077514648, 0.3008277118206024 ], [ 0.9805709719657898, 0.24882613122463226, 0.653388500213623, 0.5192784070968628 ], [ 0.9630182981491089, 0.7277519702911377, 0.3078334331512451 ], [ 0.7139678597450256, 0.9040024876594543, 0.8054633736610413, 0.18798580765724182 ], [ 0.807584822177887, 0.8374315500259399, 0.6249216198921204, 0.13858668506145477 ], [ 0.9796375632286072, 0.8532087206840515, 0.6624158620834351, 0.46411213278770447 ], [ 0.9289894104003906, 0.512095034122467, 0.6086033582687378, 0.9208264946937561, 0.47991034388542175 ], [ 0.9845378398895264, 0.9731093049049377, 0.8744584321975708, 0.7534503936767578 ], [ 0.9897667765617371, 0.7355283498764038, 0.34064987301826477 ], [ 0.9862087965011597, 0.9587367177009583, 0.9653070569038391, 0.3323165476322174 ] ] }, { "q_id": "7930_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9557574987411499, 0.7506252527236938, 0.9978377223014832, 0.8668166995048523 ], [ 0.9754291772842407, 0.07132267951965332, 0.013417721726000309, 0.022164510563015938, 0.28341981768608093, 0.79120272397995, 0.9969467520713806, 0.000594619894400239 ], [ 0.9779054522514343, 0.5096542835235596, 0.8620861172676086, 0.9987830519676208, 0.987726628780365 ], [ 0.9446312785148621, 0.7495253086090088, 0.18484912812709808, 0.022157516330480576, 0.03668247535824776, 0.0422762967646122, 0.011140262708067894, 0.010387917049229145, 0.023873887956142426, 0.13940954208374023, 0.9642810821533203, 0.007808744441717863 ], [ 0.9525579214096069, 0.014402797445654869, 0.1685226708650589, 0.002772158244624734 ], [ 0.9639392495155334, 0.913957417011261, 0.9984442591667175, 0.9985162615776062, 0.5648107528686523 ], [ 0.4092651903629303, 0.011889226734638214, 0.003288714215159416 ], [ 0.9696359038352966, 0.7602234482765198, 0.49389559030532837, 0.9988278746604919, 0.9988135099411011, 0.9863986372947693 ], [ 0.9296953678131104, 0.46839070320129395, 0.9955620765686035, 0.9696964025497437, 0.019244255498051643 ], [ 0.014782151207327843, 0.09069529175758362, 0.03567232936620712, 0.05812571942806244, 0.03685694560408592, 0.034767381846904755, 0.024761436507105827, 0.028345812112092972, 0.023262426257133484, 0.0018313828622922301 ], [ 0.01006602868437767, 0.044332802295684814, 0.025191625580191612, 0.04371098801493645, 0.024092862382531166, 0.0010480579221621156 ], [ 0.0174714308232069, 0.024959847331047058, 0.0008271628175862134 ], [ 0.23966644704341888, 0.03358687460422516, 0.03392603620886803, 0.017964618280529976, 0.11031657457351685, 0.00894398894160986 ], [ 0.9770145416259766, 0.8483866453170776, 0.9988752007484436, 0.990581214427948 ], [ 0.9641463160514832, 0.8473005890846252, 0.05582916736602783, 0.12535223364830017, 0.021880952641367912, 0.0035060581285506487 ], [ 0.01830650307238102, 0.027296079322695732, 0.08974690735340118, 0.09414482116699219, 0.003420622553676367 ] ] }, { "q_id": "8901_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4834050238132477, 0.14394021034240723, 0.4898812174797058, 0.04618768021464348, 0.040168389678001404, 0.0038725994527339935 ], [ 0.2926555275917053, 0.25662973523139954, 0.0006286263815127313, 0.32756537199020386, 0.1522739827632904, 0.05697270855307579, 0.0040507870726287365 ], [ 0.8476613759994507, 0.017284853383898735, 0.0024860224220901728 ], [ 0.7436611652374268, 0.13132786750793457, 0.3784753680229187, 0.2647944390773773, 0.03939934819936752, 0.0032867048867046833 ], [ 0.2927030920982361, 0.27513694763183594, 0.5512691736221313, 0.2747344970703125, 0.22612474858760834, 0.003947565797716379 ], [ 0.4668835997581482, 0.3967750668525696, 0.026228807866573334, 0.05124473571777344, 0.0036994449328631163 ], [ 0.503910481929779, 0.2914908230304718, 0.08050411194562912, 0.0031527727842330933 ], [ 0.9030788540840149, 0.05493835359811783, 0.01961497589945793, 0.002623338019475341 ], [ 0.7067232131958008, 0.30707934498786926, 0.2554648220539093, 0.542652428150177, 0.23970016837120056, 0.05769084766507149, 0.0035001421347260475 ], [ 0.5328149795532227, 0.22357632219791412, 0.544074535369873, 0.6748670935630798, 0.017398525029420853, 0.003222089260816574 ], [ 0.7270717620849609, 0.11819939315319061, 0.4234468638896942, 0.053939636796712875, 0.04130581393837929, 0.0035096616484224796 ], [ 0.7270036339759827, 0.37966787815093994, 0.33671581745147705, 0.5306923389434814, 0.630257785320282, 0.022373350337147713, 0.002485389821231365 ], [ 0.5827962160110474, 0.11378157138824463, 0.001308762701228261, 0.4682190418243408, 0.07054352760314941, 0.3425249457359314, 0.00028445501811802387, 0.6016477346420288, 0.4895361661911011, 0.27479293942451477, 0.33121436834335327, 0.1557614654302597, 0.03663640096783638, 0.09749658405780792, 0.0035412716679275036 ], [ 0.568513810634613, 0.23879554867744446, 0.0005399778601713479, 0.6404457092285156, 0.224753737449646, 0.544768750667572, 0.4875437915325165, 0.34387001395225525, 0.41534319519996643, 0.1689760386943817, 0.003537156619131565 ], [ 0.26048019528388977, 0.25186166167259216, 0.0005620612646453083, 0.5691231489181519, 0.4429035782814026, 0.02597196027636528, 0.004211478866636753 ], [ 0.5745006203651428, 0.18095768988132477, 0.26649409532546997, 0.003116230247542262, 0.5184773802757263, 0.6634721755981445, 0.025617271661758423, 0.003352854400873184 ] ] }, { "q_id": "7725_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9926139116287231, 0.8218002915382385, 0.9223018884658813, 0.014384985901415348 ], [ 0.9200243353843689, 0.7897863984107971, 0.9873871207237244, 0.9984819293022156, 0.9995928406715393 ], [ 0.9942060708999634, 0.9859088063240051, 0.797813892364502, 0.8652788996696472, 0.9367749691009521, 0.9990203380584717, 0.9998007416725159 ], [ 0.9507647752761841, 0.8132199048995972, 0.9891775250434875, 0.9976436495780945, 0.9995342493057251 ], [ 0.9946606755256653, 0.8730648756027222, 0.9988008737564087, 0.9997190833091736 ], [ 0.9943763017654419, 0.8381595015525818, 0.998887836933136, 0.9997804760932922 ], [ 0.9942148327827454, 0.9653854966163635, 0.7650701403617859, 0.9989232420921326, 0.99974125623703 ], [ 0.9564989805221558, 0.8396228551864624, 0.9797659516334534, 0.9975684285163879, 0.999394416809082 ], [ 0.9931394457817078, 0.9743176698684692, 0.7304940819740295, 0.9988166093826294, 0.9997474551200867 ], [ 0.9598048329353333, 0.9864099621772766, 0.9334232211112976, 0.8543327450752258, 0.998369038105011, 0.9996737241744995, 0.9998767375946045 ], [ 0.9936316609382629, 0.7898871898651123, 0.8711574077606201, 0.9319656491279602, 0.7267336249351501, 0.9893267154693604, 0.9976105690002441 ], [ 0.9654335975646973, 0.9221823811531067, 0.7659786939620972, 0.9830901622772217, 0.9988276362419128, 0.999775230884552 ], [ 0.9922156929969788, 0.9579107165336609, 0.7094348073005676, 0.8093894720077515, 0.9248759150505066, 0.999101996421814, 0.9998225569725037 ], [ 0.9938639402389526, 0.9862594604492188, 0.8060116171836853, 0.9986288547515869, 0.9996800422668457 ], [ 0.99290531873703, 0.978880763053894, 0.7369099259376526, 0.998779833316803, 0.9997264742851257 ], [ 0.9938027858734131, 0.9610543251037598, 0.7329388856887817, 0.9989078044891357, 0.9997296929359436 ] ] }, { "q_id": "8906_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.20209695398807526, 0.15383943915367126, 0.06532545387744904, 0.05894264951348305 ], [ 0.2713281512260437, 0.03188171982765198, 0.25596848130226135, 0.8968281745910645, 0.9587161540985107, 0.9805410504341125 ], [ 0.05826737731695175, 0.08048748970031738, 0.04020975902676582, 0.07518515735864639, 0.02934991382062435, 0.13283532857894897, 0.04267573356628418 ], [ 0.10823870450258255, 0.023478077724575996, 0.029192086309194565, 0.07046571373939514, 0.03253958374261856, 0.09003695845603943, 0.0591648705303669, 0.055703531950712204, 0.3755849003791809, 0.04818151891231537, 0.03454538434743881, 0.13122670352458954, 0.3648616671562195 ], [ 0.6734828352928162, 0.3767872750759125 ], [ 0.24982944130897522, 0.04630101099610329, 0.0829729214310646, 0.03298652917146683, 0.13600961863994598, 0.12822741270065308, 0.04551972448825836, 0.22086364030838013, 0.24811576306819916, 0.17675505578517914, 0.12091616541147232, 0.10070133954286575, 0.0804707258939743 ], [ 0.045275554060935974, 0.06980089843273163, 0.057874031364917755, 0.059429898858070374, 0.07042674720287323, 0.12322769314050674, 0.07064838707447052 ], [ 0.1986546814441681, 0.9490731358528137, 0.9902562499046326, 0.9924837946891785, 0.9941210150718689 ], [ 0.10344449430704117, 0.02663462609052658, 0.8459203243255615, 0.7890781760215759 ], [ 0.2871854901313782, 0.020527826622128487, 0.02582072839140892, 0.039976879954338074, 0.1121334433555603, 0.20835725963115692, 0.035264112055301666, 0.11925900727510452, 0.16283409297466278, 0.10516897588968277, 0.07229603081941605, 0.056227561086416245, 0.18928061425685883, 0.03381900489330292 ], [ 0.087236188352108, 0.06468965858221054 ], [ 0.18074889481067657, 0.014932705089449883, 0.5440627932548523, 0.1125779002904892, 0.6534307599067688, 0.8057376742362976, 0.7969034910202026 ], [ 0.0634116381406784, 0.050047747790813446, 0.051146384328603745, 0.06035732477903366, 0.047285448759794235, 0.043076686561107635 ], [ 0.06920695304870605, 0.11473052948713303 ] ] }, { "q_id": "8858_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15 ], "rewards": [ [ 0.01865680329501629, 0.021161716431379318, 0.01847565919160843, 0.01329661626368761, 0.0019858134910464287, 0.000607315159868449 ], [ 0.24797016382217407, 0.05424944683909416, 0.006711593363434076, 0.0006685340777039528 ], [ 0.1198924332857132, 0.04138950631022453, 0.022346358746290207, 0.04760274291038513, 0.9811800718307495, 0.9993786811828613 ], [ 0.18923093378543854, 0.1090770959854126, 0.12967801094055176, 0.12108520418405533, 0.01756999082863331, 0.03617638722062111, 0.9943879246711731, 0.9994696974754333 ], [ 0.18685045838356018, 0.1594388484954834, 0.025483131408691406, 0.017594901844859123, 0.13152630627155304, 0.01030296552926302, 0.0006243257084861398 ], [ 0.24735528230667114, 0.02177274227142334, 0.1213454082608223, 0.02907799370586872, 0.06901807337999344, 0.060053750872612, 0.06786764413118362, 0.062180764973163605, 0.0006717017968185246 ], [ 0.16590465605258942, 0.005460846703499556, 0.0030709144193679094, 0.0008184871403500438 ], [ 0.19392959773540497, 0.04896489530801773, 0.06699858605861664, 0.016618315130472183, 0.13021686673164368, 0.03986889868974686, 0.0008534372318536043 ], [ 0.22062526643276215, 0.14104290306568146, 0.16532500088214874, 0.14017771184444427, 0.43723276257514954, 0.1575382947921753, 0.09703180193901062, 0.04136665537953377, 0.026948027312755585, 0.042523980140686035, 0.04111403226852417, 0.03009055368602276, 0.0007254916126839817 ], [ 0.07800885289907455, 0.08620531111955643, 0.08056244254112244, 0.11861696094274521, 0.08281932771205902, 0.0032845032401382923, 0.0006393543444573879 ], [ 0.13285747170448303, 0.04377220198512077, 0.003949694335460663, 0.0006903651519678533 ], [ 0.389476478099823, 0.08049683272838593, 0.04903217777609825, 0.043832410126924515, 0.027161231264472008, 0.04812313988804817, 0.9989929795265198 ], [ 0.22229544818401337, 0.11691103875637054, 0.024782933294773102, 0.05291422829031944, 0.014263894408941269, 0.124039426445961, 0.062252216041088104, 0.0033298968337476254, 0.12328421324491501, 0.13190717995166779, 0.012429812923073769, 0.11198887228965759, 0.10853194445371628, 0.006901912856847048, 0.20378288626670837, 0.03974520042538643, 0.12871870398521423, 0.11791236698627472, 0.021711129695177078, 0.07639486342668533, 0.0057852547615766525, 0.002620573388412595, 0.008055508136749268, 0.006981362588703632, 0.0008328234544023871 ], [ 0.2945658266544342, 0.12279311567544937, 0.06780839711427689, 0.06471141427755356, 0.04474985599517822, 0.9231839776039124, 0.9967063069343567, 0.9995419979095459 ], [ 0.20191523432731628, 0.18278509378433228, 0.046581000089645386, 0.10555704683065414, 0.046020399779081345, 0.03439943492412567, 0.04649382829666138, 0.03984253108501434, 0.023132044821977615, 0.0005518170655705035 ] ] } ]