[ { "q_id": "9043_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9976546168327332, 0.4076138436794281, 0.9997314810752869, 0.999967098236084 ], [ 0.9586744904518127, 0.632697343826294, 0.6791813969612122, 0.3419276773929596, 0.999505877494812, 0.999977707862854 ], [ 0.9973680377006531, 0.9997937083244324, 0.9999598264694214 ], [ 0.9586743712425232, 0.1358983963727951, 0.5432165861129761, 0.9989401698112488, 0.999983549118042 ], [ 0.9988730549812317, 0.9997166991233826, 0.9999630451202393 ], [ 0.9759088754653931, 0.9609009027481079, 0.7394562363624573, 0.14367417991161346, 0.999649167060852, 0.9999653100967407 ], [ 0.9976546168327332, 0.9997884631156921, 0.9999620914459229 ], [ 0.9669703245162964, 0.019755346700549126, 0.018875153735280037, 0.16995684802532196, 0.213480606675148, 0.07603627443313599, 0.25561702251434326, 0.9990610480308533, 0.9999854564666748 ], [ 0.9586744904518127, 0.10584427416324615, 0.1739976555109024, 0.2627991735935211, 0.11150075495243073, 0.9989681243896484, 0.9999873638153076 ], [ 0.9669701457023621, 0.1050339862704277, 0.6427069306373596, 0.9989442229270935, 0.9999862909317017 ], [ 0.9976546168327332, 0.9998021721839905, 0.9999657869338989 ], [ 0.9990516304969788, 0.9997978806495667, 0.9999663829803467 ], [ 0.9586741924285889, 0.13490496575832367, 0.5154993534088135, 0.9987319111824036, 0.9999841451644897 ], [ 0.9976972937583923, 0.9997871518135071, 0.9999619722366333 ], [ 0.9586739540100098, 0.09411176294088364, 0.4795922040939331, 0.9992597699165344, 0.9999812841415405 ], [ 0.9988549947738647, 0.9998155236244202, 0.9999659061431885 ] ] }, { "q_id": "8801_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9733979105949402, 0.9925965070724487, 0.9999552965164185 ], [ 0.9697942733764648, 0.9991911053657532, 0.9999598264694214 ], [ 0.9797168374061584, 0.9989060163497925, 0.9999275207519531 ], [ 0.9582003355026245, 0.39628738164901733, 0.18478402495384216, 0.9988452196121216, 0.9999622106552124 ], [ 0.9642791748046875, 0.9985009431838989, 0.9999560117721558 ], [ 0.9797167181968689, 0.9993745684623718, 0.9999492168426514 ], [ 0.9733979105949402, 0.41989001631736755, 0.04344455897808075, 0.9981107711791992, 0.9999600648880005 ], [ 0.755903959274292, 0.09886371344327927, 0.9987524747848511, 0.9999635219573975 ], [ 0.953007161617279, 0.9990116357803345, 0.9999631643295288 ], [ 0.9739060401916504, 0.41537418961524963, 0.0472022145986557, 0.9986445307731628, 0.9999624490737915 ], [ 0.9733980298042297, 0.8915635347366333, 0.981685996055603, 0.9999698400497437 ], [ 0.9840804934501648, 0.4468216300010681, 0.9987446069717407, 0.9999421834945679 ], [ 0.9739062190055847, 0.49142181873321533, 0.06499673426151276, 0.22542759776115417, 0.02936622127890587, 0.9984303116798401, 0.9999696016311646 ], [ 0.9775525331497192, 0.9986575841903687, 0.9999508857727051 ], [ 0.9733979105949402, 0.4198930263519287, 0.10684221982955933, 0.9988986253738403, 0.9999654293060303 ], [ 0.9792814254760742, 0.9987384676933289, 0.9999346733093262 ] ] }, { "q_id": "8636_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.29152676463127136, 0.0033182003535330296, 0.017743196338415146, 0.042419396340847015, 8.98279104148969e-05, 0.18579992651939392, 0.004702570848166943, 0.023181945085525513, 0.0023493783082813025, 0.045368313789367676, 0.7245365381240845, 0.04667218402028084, 0.006666019093245268, 0.08128310739994049, 0.1432207077741623, 0.015389887616038322 ], [ 0.2915235161781311, 0.0033181498292833567, 0.014242288656532764, 0.046795692294836044, 0.2100200206041336, 0.006138243712484837, 0.027234958484768867, 0.7228231430053711, 0.013461447320878506, 0.005061400588601828, 0.013510906137526035, 0.07658406347036362, 0.14284470677375793, 0.0471297986805439, 0.04092671722173691, 0.13413143157958984, 0.014043370261788368 ], [ 0.29152578115463257, 0.003318225499242544, 0.06200925633311272, 0.004397692624479532, 0.013642782345414162, 0.01186765544116497, 6.73311878927052e-05, 0.21250194311141968, 0.003871707711368799, 0.014387459494173527, 0.01157260499894619, 0.0008028410957194865, 0.08801749348640442, 0.1413564682006836, 0.7486110329627991, 0.010853279381990433, 0.015194750390946865, 0.19352760910987854, 0.10576684772968292, 0.048757828772068024, 0.9235849380493164, 0.9111326336860657 ], [ 0.2915264666080475, 0.0033181733451783657, 0.1278417855501175, 0.00040391969378106296, 0.06853590905666351, 0.00018258531054016203, 0.06294813007116318, 0.008564276620745659, 0.11140783131122589, 0.044011086225509644, 0.019800608977675438 ], [ 0.2915301024913788, 0.001956881722435355, 0.05445634946227074, 0.0023020238149911165, 0.00887835118919611, 0.03237064182758331, 0.0010859392350539565, 0.30367594957351685, 0.002254503546282649, 0.013342708349227905, 0.04531233757734299, 0.004993752110749483, 0.12167850881814957, 0.06330300867557526 ], [ 0.2915278673171997, 0.0038078806828707457, 0.09859101474285126, 0.0073035177774727345, 0.04587489366531372, 0.010818611830472946, 0.00010829081293195486, 0.19107991456985474, 0.0044978950172662735, 0.020362786948680878, 0.023931104689836502, 0.7599436044692993, 0.017924293875694275, 0.004900222644209862, 0.01441546157002449, 0.15848298370838165, 0.10187053680419922, 0.8497454524040222, 0.8724269270896912 ], [ 0.3396010994911194, 0.002768526319414377, 0.012691660784184933, 0.020977916195988655, 0.2609767019748688, 0.00013244109868537635, 0.0988067239522934, 0.6605490446090698, 0.009162681177258492, 0.09149274230003357, 0.0155042614787817 ], [ 0.2915230393409729, 0.0017041463870555162, 0.006603921297937632, 0.01024573389440775, 0.02607649751007557, 0.000857822597026825, 0.001900924718938768, 0.6862215995788574, 0.012128633446991444, 0.04076986387372017, 0.015147756785154343, 0.026851605623960495, 0.001200758502818644, 0.013497438281774521, 0.10627415776252747, 0.056763842701911926, 0.46819791197776794, 0.0259446632117033 ], [ 0.2915256917476654, 0.0015262746019288898, 0.032592181116342545, 0.034174881875514984, 0.24861544370651245, 0.008149423636496067, 0.34938204288482666, 0.0007962672971189022, 0.1499449908733368, 0.006845074240118265, 0.20246250927448273, 0.051592521369457245, 0.1504332572221756, 0.9179698824882507, 0.9819707870483398 ], [ 0.29152488708496094, 0.003318182658404112, 0.044685859233140945, 0.053081028163433075, 0.00015398013056255877, 0.253173828125, 0.005747611168771982, 0.7503252029418945, 0.0016931453719735146, 0.058947280049324036, 0.08014415204524994, 0.011820242740213871 ], [ 0.3396037518978119, 0.0032138570677489042, 0.041532162576913834, 0.004542134236544371, 0.014635474421083927, 0.013475907035171986, 9.858451085165143e-05, 0.32520216703414917, 0.0004223794094286859, 0.02244652435183525, 0.5572423338890076, 0.06180519238114357, 0.0585923008620739, 0.8566172122955322, 0.9016851782798767 ], [ 0.29152587056159973, 0.003240925492718816, 0.021461060270667076, 0.0602010115981102, 0.0002174836554331705, 0.377602756023407, 0.0032191609498113394, 0.025792498141527176, 0.018853379413485527, 0.0012443939922377467, 0.05613444373011589, 0.023812251165509224, 0.7923310995101929, 0.007355095352977514, 0.015301115810871124, 0.7093165516853333, 0.04203295335173607, 0.01624334417283535, 0.04071963205933571, 0.026949666440486908 ], [ 0.2915247082710266, 0.0033181749749928713, 0.04577020928263664, 0.0005172256496734917, 0.001401696470566094, 0.0036209351383149624, 0.03718049079179764, 0.00066083122510463, 0.3306083679199219, 0.7786327004432678, 0.708778440952301 ], [ 0.2915271520614624, 0.0019569266587495804, 0.08340547978878021, 0.04114255681633949, 0.2467566281557083, 0.00011447748693171889, 0.34575799107551575, 0.020129980519413948, 0.837969183921814, 0.9014119505882263 ], [ 0.3396029770374298, 0.0032137655653059483, 0.03546265885233879, 0.002932703122496605, 0.03056894987821579, 0.012644884176552296, 7.802274194546044e-05, 0.21774479746818542, 0.00016045522352214903, 0.6298949122428894, 0.04353463649749756, 0.15116308629512787, 0.012275473214685917 ] ] }, { "q_id": "7939_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2910839915275574, 0.012969325296580791, 0.18548114597797394, 0.03836352005600929, 0.0007903933874331415, 0.04741751402616501, 0.015494619496166706, 0.023929258808493614, 0.03000594675540924, 0.01538153924047947, 0.046101462095975876, 0.03903666138648987 ], [ 0.201995387673378, 0.09293549507856369, 0.0033338554203510284, 0.026131220161914825, 0.002637056168168783, 0.06672598421573639, 0.0035955507773905993, 0.04821266606450081, 0.038398418575525284, 0.012860381975769997, 0.06129619851708412, 0.033643752336502075, 0.2138674110174179, 0.08663353323936462, 0.037154797464609146, 0.040634267032146454 ], [ 0.29108211398124695, 0.0139725711196661, 0.11087951809167862, 0.04218663275241852, 0.03837265074253082, 0.009947448037564754, 0.031928420066833496, 0.04638919234275818, 0.022304344922304153 ], [ 0.29108351469039917, 0.012009053491055965, 0.014714670367538929, 0.019292157143354416, 0.03855857253074646, 0.01312857773154974, 0.04451974108815193, 0.0012625734088942409, 0.01867738366127014, 0.0031758195254951715, 0.04779612645506859, 0.000616421748418361, 0.15528389811515808, 0.04789961501955986, 0.04621226713061333 ], [ 0.2910841107368469, 0.012969409115612507, 0.20979399979114532, 0.04388342425227165, 0.026677381247282028, 0.07964230328798294, 0.04657415673136711, 0.004902352578938007, 0.022757098078727722, 0.010948169976472855, 0.03578996658325195, 0.011389058083295822, 0.032984793186187744, 0.027174033224582672, 0.03502621129155159, 0.020550495013594627, 0.02185077592730522, 0.018736300989985466 ], [ 0.2910848557949066, 0.012969337403774261, 0.17607341706752777, 0.03955261781811714, 0.01688871905207634, 0.006595130544155836, 0.01883217692375183, 0.004886314272880554, 0.013263450004160404, 0.0028086809907108545, 0.025360681116580963, 0.029395800083875656, 0.006698320619761944, 0.016505349427461624, 0.011791176162660122 ], [ 0.2466500848531723, 0.25952422618865967, 0.00228495872579515, 0.050662554800510406, 0.06664033234119415, 0.07414928823709488, 0.060538098216056824, 0.044144436717033386 ], [ 0.2910839915275574, 0.012969275005161762, 0.18219749629497528, 0.04267824441194534, 0.005635780282318592, 0.056383032351732254, 0.08825240284204483, 0.03766901418566704, 0.006190936081111431, 0.007154864724725485, 0.010632578283548355, 0.058737579733133316, 0.041884079575538635, 0.03345002606511116, 0.029296375811100006, 0.05011943355202675, 0.04544100537896156 ], [ 0.2557472288608551, 0.01254757959395647, 0.08653586357831955, 0.12346452474594116, 0.014662180095911026, 0.013124185614287853, 0.05574919655919075, 0.06081647425889969, 0.037473902106285095, 0.016260595992207527, 0.016249317675828934, 0.031382109969854355, 0.033737003803253174, 0.03399571403861046, 0.09935345500707626, 0.042327724397182465, 0.035901203751564026, 0.09543714672327042, 0.05074154585599899, 0.039006590843200684, 0.03532949835062027, 0.04501887783408165, 0.0705745741724968, 0.052009183913469315, 0.08652105182409286, 0.01526573020964861, 0.028589116409420967, 0.060768283903598785, 0.05988182872533798, 0.04458014667034149, 0.05422190576791763, 0.06085599958896637, 0.050586625933647156, 0.051711320877075195, 0.008887205272912979 ], [ 0.2910807430744171, 0.01200910471379757, 0.015856891870498657, 0.019174056127667427, 0.03352285921573639, 0.011569371446967125, 0.07714958488941193, 0.006736631505191326, 0.011112657375633717, 0.0015452802181243896, 0.05013900622725487, 0.0027772511821240187, 0.010002270340919495, 0.031987886875867844, 0.055989447981119156, 0.01066216267645359, 0.008621765300631523, 0.019952451810240746, 0.04854048788547516, 0.09068223088979721, 0.09281642735004425, 0.0551515556871891 ], [ 0.2910830080509186, 0.008026430383324623, 0.01765035092830658, 0.13973575830459595, 0.15228138864040375, 0.02466556243598461, 0.005881503224372864, 0.013721035793423653, 0.008357580751180649, 0.005061086267232895, 0.015454936772584915, 0.019290359690785408, 0.045002538710832596, 0.015794048085808754, 0.0168460663408041, 0.02742556482553482, 0.036464691162109375, 0.03290614113211632, 0.01155806239694357 ], [ 0.2910838723182678, 0.012969215400516987, 0.2092391550540924, 0.03847533091902733, 0.011921929195523262, 0.06676340848207474, 0.005913442466408014, 0.016520900651812553, 0.01421250868588686, 0.015243331901729107 ], [ 0.25574707984924316, 0.011107197031378746, 0.03545724228024483, 0.0036290197167545557, 0.003241649828851223, 0.024799024686217308, 0.012943286448717117, 0.044774141162633896, 0.027430908754467964, 0.0359235443174839, 0.03555595502257347 ], [ 0.29108041524887085, 0.012969288043677807, 0.1379336267709732, 0.039367396384477615, 0.00444309925660491, 0.0542195588350296, 0.016944371163845062, 0.004349804017692804, 0.022854333743453026, 0.036625832319259644, 0.026560626924037933, 0.02428443357348442, 0.020035263150930405 ], [ 0.2910831868648529, 0.012969202362000942, 0.13755753636360168, 0.03255171701312065, 0.021355638280510902, 0.087422214448452, 0.01726679317653179, 0.009291879832744598, 0.03353523090481758, 0.022289054468274117, 0.01887505315244198, 0.010779562406241894, 0.05132279545068741, 0.022463848814368248, 0.028919076547026634, 0.016746360808610916, 0.06582271307706833, 0.020086180418729782, 0.038403067737817764, 0.023787813261151314, 0.05258086323738098, 0.04368855059146881, 0.1247812882065773, 0.027797993272542953, 0.06830170750617981, 0.0263570174574852, 0.030711505562067032, 0.04639149457216263 ], [ 0.2557469606399536, 0.020707514137029648, 0.003943847957998514, 0.01779809407889843, 0.04203201085329056, 0.06097283586859703, 0.007534569129347801, 0.0018614180153235793, 0.0436573401093483, 0.02671264298260212, 0.00918548833578825 ] ] }, { "q_id": "8964_mmlu_math", "cot_ids": [ 7, 8, 10, 12 ], "rewards": [ [ 0.0705321803689003, 0.07634532451629639, 0.011602737009525299, 0.022647738456726074, 0.045819662511348724, 0.007571065332740545, 0.017641495913267136, 0.04410376772284508, 0.05602729320526123, 0.15701374411582947, 0.4294346272945404, 0.0231991708278656, 0.16019397974014282, 0.5268329977989197, 0.00028097769245505333 ], [ 0.07936965674161911, 0.042817406356334686, 0.02891908958554268, 0.023014694452285767, 0.08078807592391968, 0.061207085847854614, 0.08071614801883698, 0.01374098937958479, 0.08635638654232025, 0.011560034938156605, 0.041386786848306656, 0.016100941225886345, 0.12508641183376312, 0.13403670489788055, 0.005877751857042313, 0.12989726662635803, 0.08462375402450562, 0.020140012726187706, 0.9960042834281921, 0.9997636675834656 ], [ 0.03998298943042755, 0.23994460701942444, 0.00028491290868259966 ], [ 0.12260191887617111, 0.026966027915477753, 0.05310056731104851, 0.0006675672484561801, 0.0007221182459034026 ] ] }, { "q_id": "8702_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7834346890449524, 0.9763733148574829, 0.026379872113466263 ], [ 0.7110093832015991, 0.251889705657959, 0.16309262812137604, 0.9675993919372559, 0.03220521658658981 ], [ 0.7089667916297913, 0.24223993718624115, 0.29457294940948486, 0.9514950513839722, 0.02153676562011242 ], [ 0.6409912109375, 0.24753542244434357, 0.14010009169578552, 0.9778648614883423, 0.035243336111307144 ], [ 0.0238126739859581, 0.013687018305063248, 0.06428089737892151, 0.13570575416088104, 0.21964089572429657, 0.976231038570404, 0.04446821287274361 ], [ 0.7089645862579346, 0.22757425904273987, 0.1628323346376419, 0.9775024056434631, 0.046512603759765625 ], [ 0.7089645862579346, 0.24224098026752472, 0.19437140226364136, 0.9751974940299988, 0.07874447107315063 ], [ 0.5166237950325012, 0.1619730144739151, 0.9746196866035461, 0.02284940332174301 ], [ 0.7089640498161316, 0.2422395944595337, 0.11099357157945633, 0.9631694555282593, 0.03610801696777344 ], [ 0.5365550518035889, 0.13075143098831177, 0.979427695274353, 0.03205451741814613 ], [ 0.5365576148033142, 0.2326028048992157, 0.9304201006889343, 0.03190380334854126 ], [ 0.711006224155426, 0.2518879175186157, 0.16309210658073425, 0.9472375512123108, 0.0387544222176075 ], [ 0.640990138053894, 0.24753418564796448, 0.22917938232421875, 0.9728958010673523, 0.031484559178352356 ], [ 0.6523087024688721, 0.23735487461090088, 0.1673719733953476, 0.9739037752151489, 0.03413618728518486 ], [ 0.7089654207229614, 0.24224205315113068, 0.09268496185541153, 0.95585036277771, 0.04193343594670296 ], [ 0.7089638710021973, 0.24223941564559937, 0.21251709759235382, 0.9715089797973633, 0.026780877262353897 ] ] }, { "q_id": "8925_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.548750102519989, 0.01305411383509636, 0.6273823976516724, 0.20194599032402039, 0.3949194848537445, 0.015517781488597393, 0.3017077147960663, 0.02589389495551586, 0.1957230120897293, 0.0017486513825133443 ], [ 0.5487530827522278, 0.013053560629487038, 0.5683376789093018, 0.16571713984012604, 0.41826409101486206, 0.01818857714533806, 0.19138656556606293, 0.05403611809015274, 0.03923171013593674, 0.9043525457382202, 0.9980520009994507 ], [ 0.5487541556358337, 0.005222015548497438, 0.7796934247016907, 0.07103464752435684, 0.5848096609115601, 0.020001502707600594, 0.19066324830055237, 0.05070715397596359, 0.03263581171631813, 0.9535222053527832, 0.9981226325035095 ], [ 0.5487543940544128, 0.00949829164892435, 0.6199904084205627, 0.20739775896072388, 0.3940946161746979, 0.016415761783719063, 0.2922835350036621, 0.022547883912920952, 0.8677887320518494, 0.9980394244194031 ], [ 0.5487526059150696, 0.01305388007313013, 0.6273884773254395, 0.20194444060325623, 0.39491721987724304, 0.0155174033716321, 0.30170533061027527, 0.02589334361255169, 0.34663525223731995, 0.9830530285835266, 0.9988538026809692 ], [ 0.5487522482872009, 0.5442103147506714, 0.3660898804664612, 0.18787263333797455, 0.07793981581926346, 0.9759406447410583, 0.9977967739105225 ], [ 0.5487478971481323, 0.5702467560768127, 0.3485821485519409, 0.18139034509658813, 0.06485123932361603, 0.996605396270752, 0.9989149570465088 ], [ 0.3865565061569214, 0.2754269242286682, 0.22107869386672974, 0.05632118508219719, 0.960226833820343 ], [ 0.5487528443336487, 0.013054088689386845, 0.627383291721344, 0.20194368064403534, 0.3949167728424072, 0.012293878011405468, 0.2529586851596832, 0.01534960139542818, 0.23552092909812927, 0.9766785502433777, 0.9988168478012085 ], [ 0.5487502813339233, 0.013053524307906628, 0.5937031507492065, 0.15064240992069244, 0.4503454864025116, 0.01767013780772686, 0.21631662547588348, 0.05156247690320015, 0.027118664234876633, 0.007883305661380291, 0.7229825854301453, 0.9979515671730042 ], [ 0.5487530827522278, 0.004659137688577175, 0.5824782848358154, 0.20993781089782715, 0.4009399116039276, 0.018121596425771713, 0.24235323071479797, 0.025539496913552284, 0.15868715941905975, 0.9673579335212708, 0.9986588954925537 ], [ 0.5487493276596069, 0.013053805567324162, 0.5937026739120483, 0.15064434707164764, 0.4503419101238251, 0.017670385539531708, 0.21631725132465363, 0.05156080424785614, 0.025204097852110863, 0.002057221718132496 ], [ 0.27954748272895813, 0.344409316778183, 0.9964307546615601, 0.9994394183158875 ], [ 0.5487502813339233, 0.013053524307906628, 0.5937031507492065, 0.15064240992069244, 0.4503454864025116, 0.01767013780772686, 0.21631662547588348, 0.05156247690320015, 0.025204310193657875, 0.019810456782579422, 0.7717138528823853, 0.998056948184967 ], [ 0.5487476587295532, 0.5442128777503967, 0.36609122157096863, 0.19639357924461365, 0.0689903199672699, 0.9724412560462952, 0.9977311491966248 ], [ 0.3996764123439789, 0.2648899555206299, 0.21376770734786987, 0.04453173279762268, 0.0017591302748769522 ] ] }, { "q_id": "8152_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.17066065967082977, 0.2803960144519806, 0.14225521683692932, 0.06695841997861862, 0.22938142716884613, 0.044246938079595566, 0.02877243235707283, 0.04455667361617088, 0.008196200244128704 ], [ 0.425711065530777, 0.10452453047037125, 0.0222513135522604, 0.10223308205604553, 0.12007428705692291, 0.09895173460245132, 0.05337156727910042, 0.008280184119939804 ], [ 0.35943832993507385, 0.2519244849681854, 0.13939037919044495, 0.17015159130096436, 0.023963898420333862, 0.004251578357070684 ], [ 0.20592153072357178, 0.26625990867614746, 0.19255952537059784, 0.0011050606844946742, 0.1422446221113205, 0.07017763704061508, 0.0841624066233635, 0.004819822032004595 ], [ 0.09760475903749466, 0.11987300962209702, 0.2918797731399536, 0.5653590559959412, 0.335042804479599, 0.10172347724437714, 0.09792274236679077, 0.034568965435028076, 0.027636582031846046, 0.04203285649418831, 0.007643583696335554, 0.002624025335535407 ], [ 0.09760598093271255, 0.11987154930830002, 0.40732479095458984, 0.04749522730708122, 0.2272200584411621, 0.0992417186498642, 0.008093302138149738 ], [ 0.4974537193775177, 0.3082268536090851, 0.163311168551445, 0.0004020127817057073, 0.07935337722301483, 0.10049710422754288, 0.06732206046581268, 0.005710680969059467 ], [ 0.15070728957653046, 0.301586389541626, 0.40935084223747253, 0.22649337351322174, 0.2974759042263031, 0.4071895182132721, 0.3502521514892578, 0.006526832934468985 ], [ 0.0822373628616333, 0.09691664576530457, 0.07965408265590668, 0.07065926492214203, 0.0066298446618020535 ], [ 0.2781354784965515, 0.08061274886131287, 0.1311853528022766, 0.006508596707135439 ], [ 0.39319705963134766, 0.22615981101989746, 0.12851831316947937, 0.04142097756266594, 0.03805289417505264, 0.23542393743991852, 0.03398113697767258, 0.004954203963279724 ], [ 0.4332679212093353, 0.01630084216594696, 0.04131946712732315, 0.0050496309995651245, 0.2186734527349472, 0.026812288910150528, 0.0018989271484315395, 0.19192036986351013, 0.008179286494851112, 0.05154580995440483, 0.019058769568800926, 0.042910680174827576, 0.0035576578229665756 ], [ 0.388214647769928, 0.2473675012588501, 0.3492202162742615, 0.05383395403623581, 0.15864413976669312, 0.14342115819454193, 0.003839540295302868 ], [ 0.04416733235120773, 0.06227950379252434, 0.04300146549940109, 0.07602518796920776, 0.029002739116549492, 0.03444704785943031, 0.02620626613497734, 0.0026614859234541655 ], [ 0.2910556495189667, 0.002607779810205102, 0.15051859617233276, 0.08701640367507935, 0.0704069584608078, 0.0498703271150589, 0.0035284440964460373 ], [ 0.20592091977596283, 0.17403577268123627, 0.1144559234380722, 0.3572162091732025, 0.1749190241098404, 0.5182567834854126, 0.24572080373764038, 0.20486773550510406, 0.07225316762924194, 0.005228313151746988 ] ] }, { "q_id": "8509_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.355083167552948, 0.0016081846551969647, 0.09813332557678223, 0.05913162603974342, 0.0531313382089138, 0.02514137141406536, 0.07465258985757828, 0.07730613648891449, 0.060317207127809525, 0.3604066073894501 ], [ 0.18154381215572357, 0.09558424353599548, 0.04719262942671776, 0.03576674312353134, 0.0641760528087616, 0.029057806357741356, 0.40719321370124817 ], [ 0.11172738671302795, 0.0033551747910678387, 0.0005015367642045021, 0.030697191134095192, 0.001426989445462823, 0.04393859952688217, 0.013951635919511318, 0.0005758184706792235, 0.02376491203904152, 0.01839783601462841 ], [ 0.07106683403253555, 0.0013403906486928463, 0.034480299800634384, 0.005058531649410725, 0.020047400146722794, 0.017019122838974, 0.025261908769607544, 0.013310160487890244, 0.018031660467386246, 0.011668657884001732 ], [ 0.13548840582370758, 0.00843035988509655, 0.11558909714221954, 0.010718939825892448, 0.000779493129812181, 0.07496261596679688, 0.011704902164638042, 0.05250100791454315, 0.020292215049266815, 0.05112387239933014, 0.01630534790456295, 0.026169555261731148, 0.05515610799193382, 0.011734736151993275 ], [ 0.1846926063299179, 0.09994061291217804, 0.048039138317108154, 0.03508960083127022, 0.4451923370361328 ], [ 0.2131505310535431, 0.03145380690693855, 0.04321977123618126, 0.045562610030174255, 0.028828609734773636, 0.046209242194890976 ], [ 0.010905731469392776, 0.10028359293937683, 0.04705580696463585, 0.05764498561620712, 0.00645318441092968, 0.050002604722976685, 0.04515726864337921, 0.3039824366569519 ], [ 0.10417428612709045, 0.002632607938721776, 0.010299420915544033, 0.0054999422281980515, 0.05528118461370468, 0.023637408390641212, 0.002029051072895527, 0.05264172703027725, 0.01148429699242115, 0.08317381888628006, 0.02479461021721363, 0.05778530612587929, 0.7274758219718933 ], [ 0.17027075588703156, 0.06031828746199608, 0.03818745166063309, 0.0206931009888649, 0.07710886001586914, 0.1725892722606659, 0.028040343895554543, 0.019325781613588333 ], [ 0.15478460490703583, 0.010747362859547138, 0.018426163122057915, 0.028601473197340965, 0.03457975387573242, 0.029128236696124077, 0.009831944480538368 ], [ 0.32627174258232117, 0.04135255515575409, 0.0019230036996304989, 0.007513446733355522, 0.0016638078959658742, 0.02839772403240204, 0.019516596570611, 0.060923539102077484, 0.015583026222884655, 0.014081641100347042 ], [ 0.007904295809566975, 0.1374959945678711, 0.05777598172426224, 0.0010614601196721196, 0.15550756454467773, 0.01589641347527504, 0.0018397823441773653, 0.05560346692800522, 0.11828182637691498, 0.04128251597285271, 0.04932759329676628, 0.07126794010400772, 0.06905139237642288, 0.03700990229845047 ], [ 0.048922348767519, 0.04634059593081474, 0.07847656309604645, 0.03208591043949127, 0.012159960344433784 ], [ 0.010653998702764511, 0.09828932583332062, 0.0649443045258522, 0.03275008127093315, 0.08129043877124786, 0.047468457370996475, 0.03974616527557373 ] ] }, { "q_id": "8272_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 14, 15 ], "rewards": [ [ 0.32533296942710876, 0.8760207295417786, 0.2042396515607834, 0.159900963306427, 0.14342759549617767, 0.2779051959514618, 0.5257653594017029, 0.9957088232040405, 0.9970924854278564 ], [ 0.438060462474823, 0.0007017259486019611, 0.39827799797058105, 0.011445180512964725, 0.08406322449445724, 0.010430222377181053, 0.049190569669008255, 0.00869761686772108, 0.14136090874671936, 0.01397362258285284, 0.0066121905110776424, 0.997830331325531, 0.9982800483703613 ], [ 0.438060462474823, 0.0007017259486019611, 0.5106082558631897, 0.008164646103978157, 0.04923545941710472, 0.01423032395541668, 0.07029642909765244, 0.010286669246852398, 0.14175494015216827, 0.007887788116931915, 0.9958183169364929, 0.9981665015220642 ], [ 0.2211417555809021, 0.05704997479915619, 0.86697918176651, 0.03187384828925133, 0.04169445484876633, 0.10853264480829239, 0.07493002712726593, 0.16485027968883514, 0.7019721269607544, 0.9584832191467285 ], [ 0.17089897394180298, 0.8488079905509949, 0.3833778500556946, 0.17781729996204376, 0.21449725329875946, 0.17868274450302124, 0.19196614623069763, 0.3835946321487427, 0.45408642292022705, 0.9948679208755493, 0.9965168237686157 ], [ 0.18330241739749908, 0.49855804443359375, 0.18682017922401428, 0.10005653649568558, 0.04678433761000633, 0.040055129677057266, 0.029848337173461914, 0.05961167439818382 ], [ 0.16005104780197144, 0.8761225342750549, 0.2806693911552429, 0.04700995981693268, 0.2032778114080429, 0.009198186919093132, 0.692478597164154, 0.01447254791855812, 0.20531782507896423, 0.1050008162856102, 0.21395760774612427, 0.0459778793156147, 0.35954102873802185, 0.996336817741394, 0.9977349042892456 ], [ 0.17089945077896118, 0.8066020607948303, 0.06214059889316559, 0.10267894715070724, 0.004456432536244392, 0.5914341807365417, 0.021274281665682793, 0.18564164638519287, 0.09554662555456161, 0.16360020637512207, 0.04064828157424927, 0.41767817735671997, 0.9948171973228455, 0.9971519708633423 ], [ 0.17089882493019104, 0.8599177002906799, 0.01444319449365139, 0.06104271113872528, 0.04050522297620773, 0.7357365489006042, 0.9787417650222778, 0.9688716530799866 ], [ 0.18330320715904236, 0.03767109662294388, 0.8322931528091431, 0.014891022816300392, 0.35750269889831543, 0.01840735413134098, 0.15968668460845947, 0.05816768482327461, 0.0661880150437355, 0.3032040596008301, 0.06608746945858002, 0.5551043152809143, 0.9877668619155884 ], [ 0.17089834809303284, 0.8631935119628906, 0.3318420946598053, 0.08494962006807327, 0.12133514136075974, 0.006312324665486813, 0.6621723175048828, 0.029043547809123993, 0.1844118982553482, 0.1098315417766571, 0.1693459004163742, 0.048247579485177994, 0.4698088765144348, 0.9930825233459473, 0.9972208738327026 ], [ 0.17089949548244476, 0.036622196435928345, 0.26742255687713623, 0.06605177372694016, 0.15250521898269653, 0.010802416130900383, 0.6249762177467346, 0.022946882992982864, 0.18986807763576508, 0.11616887152194977, 0.17431609332561493, 0.03339400142431259, 0.40607452392578125, 0.9908133149147034, 0.9970671534538269 ] ] }, { "q_id": "8731_mmlu_math", "cot_ids": [ 0, 1, 2, 6, 7, 8, 9, 10, 11, 13, 14 ], "rewards": [ [ 0.14021296799182892, 0.001669467892497778, 0.01649688370525837, 0.00823923759162426, 0.017315497621893883, 0.09040180593729019, 0.08418998122215271, 0.015974773094058037, 0.014008690603077412, 0.019119512289762497, 0.027346909046173096, 0.008609913289546967, 0.01714002527296543 ], [ 0.1402134895324707, 0.002555709332227707, 0.014332826249301434, 0.038766104727983475, 0.0059812371619045734, 0.009024184197187424, 0.016024388372898102, 0.011166879907250404, 0.003242551116272807, 0.010828311555087566, 0.013728653080761433, 0.0010072154691442847, 0.005882705096155405, 0.008327154442667961 ], [ 0.1402122676372528, 0.001455688034184277, 0.01155115757137537, 0.0007290258654393256, 0.011936924420297146, 0.00889381393790245, 0.07277671992778778, 0.005478203762322664, 0.013894282281398773, 0.018135840073227882, 0.008197913877665997, 0.00906210858374834 ], [ 0.14021353423595428, 0.0017225556075572968, 0.00901663675904274, 0.005459181498736143, 0.010688412003219128, 0.08000516146421432, 0.06977452337741852, 0.03964022174477577, 0.022521309554576874, 0.01683441363275051, 0.03586593270301819, 0.009476439096033573 ], [ 0.14021216332912445, 0.0016694567166268826, 0.01263909786939621, 0.006042086984962225, 0.021082688122987747, 0.0711650475859642, 0.08235479891300201, 0.015878597274422646, 0.019192375242710114, 0.02030716836452484, 0.06496568024158478, 0.009566264227032661 ], [ 0.05538642033934593, 0.027324048802256584, 0.09974022954702377, 0.053529925644397736, 0.011466526426374912, 0.010337007232010365 ], [ 0.1402125507593155, 0.0017721639014780521, 0.008151620626449585, 0.0008703031344339252, 0.007266463246196508, 0.011565462686121464, 0.04426444694399834, 0.008213887922465801, 0.0056091900914907455, 0.05028805136680603, 0.0023374431766569614, 0.0037035453133285046, 0.0012015753891319036 ], [ 0.07476143538951874, 0.0146960923448205, 0.09484970569610596, 0.14763714373111725, 0.022840779274702072, 0.0044492073357105255 ], [ 0.3106619119644165, 0.09855043888092041, 0.11233365535736084, 0.13052955269813538, 0.029522178694605827, 0.19082628190517426, 0.012350989505648613 ], [ 0.14021216332912445, 0.00177380267996341, 0.011759497225284576, 0.001060185837559402, 0.010391246527433395, 0.011493123136460781, 0.05226638913154602, 0.004062504041939974, 0.015404953621327877, 0.09481090307235718, 0.005618005990982056, 0.029383476823568344, 0.021705972030758858, 0.009688714519143105 ], [ 0.14021319150924683, 0.0016694727819412947, 0.005501395091414452, 0.0006402629660442472, 0.05432508885860443, 0.0059334649704396725, 0.0172992292791605, 0.004711159970611334, 0.008280904963612556, 0.0831366628408432, 0.003281494602560997, 0.035106658935546875, 0.011785771697759628 ] ] }, { "q_id": "8492_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.01734977774322033, 0.01565396972000599, 0.06382491439580917, 0.06494554877281189 ], [ 0.03515299782156944, 0.344791978597641, 0.9396489858627319 ], [ 0.1321883648633957, 0.27737635374069214, 0.02024734951555729, 0.03245318681001663 ], [ 0.011589732952415943, 0.39427223801612854, 0.05524107813835144 ], [ 0.3688012361526489, 0.47534823417663574, 0.41041654348373413, 8.404340405832045e-07, 0.3411967158317566, 0.7265174984931946, 0.9990699887275696 ], [ 0.011368277482688427, 0.4890643060207367, 0.0036236268933862448 ], [ 0.3816903233528137, 0.8045437932014465, 0.5860530734062195, 0.9970417618751526 ], [ 0.011438719928264618, 0.021363724023103714, 0.05170485004782677, 0.034841399639844894, 0.05135835334658623 ], [ 0.011589892208576202, 0.3942708969116211, 0.0552404560148716 ], [ 0.38169050216674805, 0.8045436143875122, 0.9943158030509949 ], [ 0.38169118762016296, 0.8045431971549988, 0.7638736367225647, 0.9987013339996338 ], [ 0.011589784175157547, 0.06806222349405289, 0.18712179362773895, 0.15291191637516022 ], [ 0.558853268623352, 0.1034582108259201, 0.01185308676213026, 0.005531467497348785 ], [ 0.014092535711824894, 0.020322229713201523, 0.12647846341133118, 0.00558751355856657 ], [ 0.3816898465156555, 0.8045437932014465, 0.9190695881843567, 0.9988937973976135 ], [ 0.43491244316101074, 0.8109025955200195, 0.7696483731269836, 0.9983951449394226 ] ] }, { "q_id": "8567_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.045242831110954285, 0.4978969991207123, 0.03140716999769211, 0.02621401660144329 ], [ 0.7077175378799438, 0.05895048379898071, 0.00832484383136034, 0.0036072053480893373, 0.013062053360044956, 0.006532220635563135, 0.02477317489683628 ], [ 0.1655532717704773, 0.06540554016828537, 0.12356869131326675, 0.014467917382717133 ], [ 0.6096952557563782, 0.32985806465148926, 0.0558914877474308, 0.006994499359279871, 0.09482792764902115, 0.02827293798327446 ], [ 0.32622718811035156, 0.007852488197386265, 0.45963698625564575, 0.973026692867279 ], [ 0.11937175691127777, 0.003590515349060297, 0.029484251514077187, 0.004794261418282986, 0.042475953698158264, 0.016601460054516792 ], [ 0.36248236894607544, 0.0018372518243268132, 0.04631253704428673, 0.004917734302580357, 0.7755428552627563, 0.9793134331703186 ], [ 0.41323038935661316, 0.04942108318209648, 0.8598376512527466, 0.9841418862342834 ], [ 0.4380345344543457, 0.08029620349407196, 0.020286213606595993 ], [ 0.19385714828968048, 0.0022421395406126976, 0.5361402630805969, 0.9727075099945068 ], [ 0.07074049860239029, 0.0064428625628352165, 0.6912403702735901, 0.9838130474090576 ], [ 0.12767592072486877, 0.08686280995607376, 0.0004138114454690367, 0.030602669343352318, 0.10453497618436813, 0.0030607590451836586, 0.018061507493257523 ], [ 0.13101495802402496, 0.09643450379371643, 0.013132229447364807, 0.028697624802589417 ], [ 0.6904783844947815, 0.10366179794073105, 0.0006853064987808466, 0.01843292824923992, 0.02193368412554264 ], [ 0.16759084165096283, 0.010565183125436306, 0.03873836249113083, 0.018759390339255333 ], [ 0.2325899600982666, 0.06988593935966492, 0.023786449804902077 ] ] }, { "q_id": "8429_mmlu_math", "cot_ids": [ 1, 5, 7, 12, 13, 14 ], "rewards": [ [ 0.09856797009706497, 0.05171770974993706, 0.13195769488811493, 0.4536867141723633, 0.9997351765632629 ], [ 0.9049277901649475, 0.0010921452194452286, 0.07538941502571106, 0.0026492078322917223, 0.019417984411120415, 4.9223544920096174e-05, 0.12242598831653595, 0.09438379853963852, 0.045029472559690475, 0.05227532237768173, 0.031753264367580414, 0.08906429260969162, 0.0346294529736042, 0.0015186658129096031, 0.00112850998993963 ], [ 0.7920011878013611, 0.07181944698095322, 0.04369596019387245, 0.012968067079782486, 0.09788955748081207, 0.9927393794059753, 0.999643087387085 ], [ 0.8639989495277405, 0.006327272392809391, 0.017802422866225243, 0.07220388948917389, 0.059910234063863754, 0.015944721177220345, 0.04295208305120468, 0.013894204050302505, 0.0010602530092000961, 0.0005070294719189405 ], [ 0.21616621315479279, 0.13274890184402466, 0.03823288902640343, 0.03645476698875427, 0.006861330009996891, 0.148126482963562, 0.2775926887989044, 0.3236493468284607, 0.9989804625511169 ], [ 0.739918053150177, 0.10085301846265793, 0.02720353566110134, 0.01050658617168665, 0.033381860703229904, 0.23003354668617249, 0.05414683371782303, 0.023830123245716095, 0.006487077102065086, 0.05687766149640083, 0.059547100216150284, 0.23678602278232574, 0.0007935010944493115, 0.0018602169584482908 ] ] }, { "q_id": "8893_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7793225049972534, 0.9915873408317566, 0.9999352693557739 ], [ 0.872951865196228, 0.9991540908813477, 0.9999446868896484 ], [ 0.9994356036186218, 0.9999306201934814 ], [ 0.8734502196311951, 0.9984667897224426, 0.9999415874481201 ], [ 0.8508448600769043, 0.9617886543273926, 0.999942421913147 ], [ 0.8729501962661743, 0.9985927939414978, 0.999943733215332 ], [ 0.9535224437713623, 0.8297535181045532, 0.9992045760154724, 0.9999479055404663 ], [ 0.9397844672203064, 0.8546407222747803, 0.998178243637085, 0.9999350309371948 ], [ 0.9687618017196655, 0.8781070709228516, 0.9983905553817749, 0.9999417066574097 ], [ 0.850844144821167, 0.37180185317993164, 0.9969154596328735, 0.999944806098938 ], [ 0.9995563626289368, 0.9999337196350098 ], [ 0.8543952703475952, 0.5858550071716309, 0.9985445737838745, 0.9999562501907349 ], [ 0.9995920062065125, 0.9999364614486694 ], [ 0.999583899974823, 0.9999345541000366 ], [ 0.9524268507957458, 0.38234075903892517, 0.5624694228172302, 0.9969105124473572, 0.9999477863311768 ], [ 0.9338296055793762, 0.9985804557800293, 0.9999314546585083 ] ] }, { "q_id": "8211_mmlu_math", "cot_ids": [ 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 15 ], "rewards": [ [ 0.1970544010400772, 0.0006084277993068099, 0.2548934817314148, 0.0020040790550410748, 0.020257001742720604, 0.01371810119599104 ], [ 0.21960009634494781, 0.015890035778284073, 2.993568341480568e-05, 0.17604297399520874, 0.0021390162874013186, 0.004115001298487186, 0.03717848286032677, 0.017934251576662064, 0.060326505452394485, 0.04273682460188866, 0.06637319177389145, 0.02866440638899803, 0.008209072053432465, 0.012105647474527359, 0.010938776656985283 ], [ 0.1970541924238205, 0.0030134147964417934, 2.0675865016528405e-05, 0.09114696085453033, 0.002551453420892358, 8.66325426613912e-05, 0.03059198707342148, 0.002351537346839905, 0.01654498279094696, 0.01631532981991768 ], [ 0.045999884605407715, 0.0018050933722406626, 4.4558822992257774e-05, 0.29185473918914795, 0.28660523891448975, 0.011025762185454369, 0.0007206388399936259, 0.0029909557197242975, 0.005769636947661638, 0.039538417011499405, 0.061830274760723114, 0.06669193506240845, 0.0251451563090086, 0.7722998857498169, 0.9714934825897217 ], [ 0.21960420906543732, 0.004465881735086441, 4.32606648246292e-05, 0.295951247215271, 0.3078365623950958, 0.022457849234342575, 0.003620728850364685, 0.011676083318889141, 0.015191417187452316, 0.021904567256569862, 0.03460516780614853, 0.022918693721294403, 0.80632084608078 ], [ 0.04599984362721443, 0.0018050643848255277, 4.455852467799559e-05, 0.2518809139728546, 0.28444749116897583, 0.00949515774846077, 0.00025441701291128993, 0.03860340639948845, 0.014295581728219986, 0.008878187276422977, 0.03070002794265747, 0.008436694741249084, 0.010624129325151443, 0.018114762380719185, 0.015859048813581467, 0.009937032125890255, 0.04336926341056824, 0.03207586705684662, 0.016950424760580063 ], [ 0.21960151195526123, 0.004465822596102953, 4.53861357527785e-05, 0.4130413830280304, 0.025962335988879204, 0.10143578052520752, 0.019122274592518806, 0.15316717326641083, 0.0007785837515257299, 0.004074506461620331, 0.010867505334317684, 0.038986075669527054, 0.005677949171513319, 0.015476873144507408, 0.0343664288520813 ], [ 0.219601571559906, 0.0044658188708126545, 4.5385615521809086e-05, 0.41584351658821106, 0.022142963483929634, 0.16142387688159943, 0.004947998095303774, 0.005772022996097803, 0.017910156399011612, 0.0021131117828190327, 0.05638774856925011, 0.08176938444375992 ], [ 0.20902585983276367, 0.002882464788854122, 2.3569042241433635e-05, 0.08105635643005371, 0.0014611760852858424, 0.00662914477288723, 0.0005262612830847502, 0.031313709914684296, 0.0010140389204025269, 0.18056467175483704, 0.02130037173628807, 0.9412723779678345, 0.9885097146034241 ], [ 0.20902802050113678, 0.000257347768638283, 0.37064608931541443, 0.014911742880940437, 0.0033574493136256933, 0.038446832448244095, 0.06988730281591415, 0.018125398084521294, 0.02159465104341507, 0.024569977074861526 ], [ 0.20902705192565918, 0.0010332046076655388, 0.3503516912460327, 0.05556333437561989, 0.030830567702651024, 0.03580576553940773, 0.03152012825012207, 0.013196188025176525, 0.028223000466823578, 0.0599125437438488, 0.008207705803215504, 0.01292868610471487 ], [ 0.21960331499576569, 0.004465831443667412, 4.538622306426987e-05, 0.3576591908931732, 0.019580664113163948, 0.0662335529923439, 0.006610637065023184, 0.013602165505290031, 0.01368330605328083, 0.003437275532633066, 0.09271862357854843, 0.9341181516647339 ] ] }, { "q_id": "8136_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9243190884590149, 0.11104919016361237, 0.7736503481864929, 0.15184897184371948, 0.9973629117012024, 0.9984996318817139 ], [ 0.9243184924125671, 0.0564860962331295, 0.5936161875724792, 0.425694078207016, 0.9920579791069031, 0.9980006814002991 ], [ 0.8829524517059326, 0.05150500684976578, 0.42231103777885437, 0.5628258585929871, 0.9829393625259399, 0.9969581365585327 ], [ 0.9243192672729492, 0.03922164812684059, 0.900353193283081, 0.4801432490348816, 0.1757616400718689, 0.998022198677063, 0.9982193112373352 ], [ 0.9243184924125671, 0.043498311191797256, 0.8766454458236694, 0.449300616979599, 0.16785962879657745, 0.9982446432113647, 0.9983938336372375 ], [ 0.9368487000465393, 0.03862302377820015, 0.8967908024787903, 0.44980183243751526, 0.21607841551303864, 0.9887415766716003, 0.9985982775688171 ], [ 0.9243189096450806, 0.9545624852180481, 0.007617845665663481 ], [ 0.9243184924125671, 0.9830611348152161, 0.007733328267931938 ], [ 0.9243186712265015, 0.350294828414917, 0.4632464647293091, 0.9938594698905945, 0.9979714751243591 ], [ 0.9368484020233154, 0.04292028024792671, 0.01866670697927475, 0.042057059705257416, 0.7108296751976013, 0.9961386322975159 ], [ 0.9368488192558289, 0.048568353056907654, 0.40099868178367615, 0.4561436176300049, 0.9838547110557556, 0.9975690245628357 ], [ 0.9368482828140259, 0.05598100647330284, 0.543080747127533, 0.3879224359989166, 0.9874317646026611, 0.9980252981185913 ], [ 0.8743211627006531, 0.9614037275314331, 0.007686192635446787 ], [ 0.9368496537208557, 0.9773803353309631, 0.007783070206642151 ], [ 0.9243192076683044, 0.0653904601931572, 0.6563572287559509, 0.007118108682334423 ], [ 0.9368499517440796, 0.054541394114494324, 0.7718797326087952, 0.9968147873878479, 0.9983249306678772 ] ] }, { "q_id": "7777_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.6536201238632202, 0.0010072768200188875, 0.011154532432556152, 0.004277174361050129, 0.020229222252964973, 0.006932188291102648, 0.06693396717309952, 0.019930683076381683, 0.10821545869112015, 0.030638476833701134, 0.008376139216125011, 0.0005602187593467534 ], [ 0.6536250114440918, 0.0010482016950845718, 0.0159403458237648, 0.006872367113828659, 0.02461921237409115, 0.025072744116187096, 0.005871892441064119, 0.021237123757600784, 0.0004241214192006737 ], [ 0.6661102771759033, 0.00207201368175447, 0.06835740804672241, 0.004978678189218044, 0.02054574154317379, 0.023314109072089195, 0.012564877979457378, 0.00292389327660203, 0.0003804234438575804 ], [ 0.6352967619895935, 0.0015849733026698232, 0.005662640556693077, 0.007524049375206232, 0.05223928019404411, 0.002141373697668314, 0.043934933841228485, 0.0063962191343307495, 0.022915108129382133, 0.00045204474008642137 ], [ 0.6536246538162231, 0.0013538605999201536, 0.013941321521997452, 0.0021447858307510614, 0.028510719537734985, 0.004760162904858589, 0.047000497579574585, 0.010933149605989456, 0.04552212730050087, 0.009069421328604221, 0.004713818430900574, 0.000771145976614207 ], [ 0.6352977156639099, 0.0015849327901378274, 0.0215805284678936, 0.009110102429986, 0.005773377604782581, 0.0008029895252548158 ], [ 0.6536210775375366, 0.001353805186226964, 0.008982482366263866, 0.012108311988413334, 0.0019081408390775323, 0.037085648626089096, 0.00610746443271637, 0.058787740767002106, 0.006972304545342922, 0.008954870514571667, 0.0005435476778075099 ], [ 0.6536186933517456, 0.001353821950033307, 0.05688004195690155, 0.002619873033836484, 0.07768238335847855, 0.0075200702995061874, 0.029685767367482185, 0.002296693390235305, 0.000427772116381675 ], [ 0.6536220908164978, 0.0005979622947052121, 0.00417458126321435, 0.006329614203423262, 0.040631234645843506, 0.022203123196959496, 0.03647352010011673, 0.039834197610616684, 0.004362483508884907, 0.00046756266965530813 ], [ 0.6536232233047485, 0.0013538167113438249, 0.04032868146896362, 0.005348496604710817, 0.02938944473862648, 0.010244670324027538, 0.011073769070208073, 0.000568771327380091 ], [ 0.6536241173744202, 0.001353803789243102, 0.011061446741223335, 0.020561112090945244, 0.01030711829662323, 0.07611295580863953, 0.006692451424896717, 0.004821633920073509, 0.0005870615714229643 ], [ 0.6536250710487366, 0.0013538257917389274, 0.06769147515296936, 0.005408941302448511, 0.11714191734790802, 0.008603491820394993, 0.001330292783677578, 0.0022331872023642063 ], [ 0.7534680366516113, 0.0032492252066731453, 0.011650711297988892, 0.0023901707027107477, 0.0843360498547554, 0.005353935528546572, 0.08705823868513107, 0.007990866899490356, 0.005371042061597109, 0.0005473279161378741 ], [ 0.6536207795143127, 0.004067724104970694, 0.04522133618593216, 0.004417893942445517, 0.017879635095596313, 0.00636411365121603, 0.013982422649860382, 0.005607898347079754, 0.0007698136614635587 ] ] }, { "q_id": "7983_mmlu_math", "cot_ids": [ 9, 13, 14 ], "rewards": [ [ 0.2000299096107483, 0.042412176728248596, 0.029175322502851486, 0.1547917276620865, 0.07117976993322372, 0.006119068246334791, 0.028102856129407883, 0.07586359232664108, 0.020536765456199646, 0.023721132427453995, 0.0008963319123722613 ], [ 0.20385228097438812, 0.020917784422636032, 0.021632280200719833, 0.0029849836137145758, 0.016445312649011612, 0.02346995659172535, 0.061670541763305664 ], [ 0.15799272060394287, 0.003071015002205968 ] ] }, { "q_id": "8569_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7358583807945251, 0.3054761290550232, 0.05606914311647415, 0.25621166825294495, 0.23756419122219086, 0.9955944418907166, 0.9443634748458862 ], [ 0.6745414137840271, 0.24274006485939026, 0.26460695266723633, 0.34057578444480896, 0.41215717792510986, 0.9975939393043518, 0.9993746876716614 ], [ 0.73586106300354, 0.09645475447177887, 0.11978098005056381, 0.1767531782388687, 0.9977908134460449, 0.9993966817855835 ], [ 0.5470874309539795, 0.034377679228782654, 0.32537129521369934, 0.1408366709947586, 0.30435580015182495, 0.14797839522361755, 0.5379420518875122, 0.9967628717422485, 0.997847318649292 ], [ 0.735858678817749, 0.3054773509502411, 0.04993820562958717, 0.23557786643505096, 0.25559788942337036, 0.9961292743682861, 0.9514570832252502 ], [ 0.6819454431533813, 0.15286768972873688, 0.21250826120376587, 0.4960092008113861, 0.9976054430007935, 0.9986372590065002 ], [ 0.7358604669570923, 0.17972631752490997, 0.06308014690876007, 0.2517167627811432, 0.1835128664970398, 0.997918426990509, 0.9992413520812988 ], [ 0.7358633875846863, 0.3054765462875366, 0.0499383844435215, 0.23557958006858826, 0.26241496205329895, 0.9970827698707581, 0.993486762046814 ], [ 0.45717117190361023, 0.013862363994121552, 0.06749019026756287, 0.024787532165646553, 0.1954299807548523, 0.11007031798362732, 0.27979427576065063, 0.2758443057537079, 0.9977574944496155, 0.9994850158691406 ], [ 0.7358627319335938, 0.1549798995256424, 0.06894928961992264, 0.2352314591407776, 0.17834730446338654, 0.9983506202697754, 0.9996302127838135 ], [ 0.6159951090812683, 0.05903828516602516, 0.027971262112259865, 0.23705844581127167, 0.03593222796916962, 0.096290223300457, 0.11129854619503021, 0.3074006736278534, 0.2536275088787079, 0.9975876808166504, 0.9992904663085938 ], [ 0.7358625531196594, 0.3054738938808441, 0.04993792995810509, 0.2355765551328659, 0.2933608889579773, 0.9970266222953796, 0.993603527545929 ], [ 0.6745416522026062, 0.24273955821990967, 0.2646051049232483, 0.356140673160553, 0.5381947755813599, 0.9980416297912598, 0.9992546439170837 ], [ 0.7358621954917908, 0.17972448468208313, 0.06307992339134216, 0.2517172396183014, 0.21401262283325195, 0.9975124597549438, 0.9988538026809692 ], [ 0.7072650790214539, 0.21444180607795715, 0.21030820906162262, 0.22854803502559662, 0.9976758360862732, 0.9983578324317932 ], [ 0.7482064366340637, 0.20672540366649628, 0.23304417729377747, 0.45898258686065674, 0.9966236352920532, 0.9980838298797607 ] ] }, { "q_id": "8295_mmlu_math", "cot_ids": [ 3, 15 ], "rewards": [ [ 0.03293381631374359, 0.011570834554731846, 0.02931191958487034, 0.05420258641242981, 0.016316255554556847, 0.07071930915117264, 0.011614082381129265, 0.05447651445865631, 0.00974859856069088, 0.012428863905370235, 0.0017665177583694458 ], [ 0.09560968726873398, 0.002720864722505212, 0.010925241746008396, 0.006274699699133635, 0.018450051546096802, 0.013501469977200031, 0.0176688302308321, 0.007946736179292202, 0.0014062244445085526, 0.012392506934702396, 0.011949129402637482, 0.013486478477716446, 0.0011337860487401485 ] ] }, { "q_id": "8274_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.40138253569602966, 0.01689157821238041, 0.056841254234313965, 0.022600090131163597, 0.004789234139025211, 0.13848021626472473, 0.010666077956557274, 0.02695644274353981, 0.004972785711288452, 0.1555468887090683, 0.9248761534690857, 0.9910410046577454 ], [ 0.401380717754364, 0.18711672723293304, 0.15053458511829376, 0.06666377186775208, 0.0748397707939148, 0.018192317336797714, 0.06501035392284393, 0.038855671882629395, 0.9831288456916809, 0.9947344064712524 ], [ 0.4013846218585968, 0.01689142733812332, 0.0484749972820282, 0.0399387963116169, 0.0037145905662328005, 0.12050317972898483, 0.014201883226633072, 0.09102639555931091, 0.01816031150519848, 0.01845415309071541, 0.012644019909203053, 0.060540296137332916, 0.939395546913147, 0.9870523810386658 ], [ 0.5386332273483276, 0.1809542328119278, 0.08470840752124786, 0.01408897340297699, 0.032909661531448364, 0.046300724148750305, 0.8175766468048096 ], [ 0.40225765109062195, 0.14931727945804596, 0.10903593897819519, 0.01614009216427803, 0.054346609860658646, 0.03685620799660683, 0.9862783551216125, 0.9942980408668518 ], [ 0.9966889023780823 ], [ 0.402256041765213, 0.1705174446105957, 0.9670589566230774, 0.9867912530899048 ], [ 0.6463554501533508, 0.17346158623695374, 0.1350989192724228, 0.02339201048016548, 0.9888733625411987, 0.9937553405761719 ], [ 0.40138423442840576, 0.18711382150650024, 0.007537375204265118, 0.13376711308956146, 0.07894398272037506, 0.0953323170542717, 0.01763334311544895, 0.08091596513986588, 0.026814304292201996, 0.05632105469703674, 0.0361836701631546, 0.9893306493759155, 0.9959946870803833 ], [ 0.4013812839984894, 0.010812316089868546, 0.0594385601580143, 0.0025072635617107153, 0.13153459131717682, 0.003989351447671652, 0.09729905426502228, 0.0074734436348080635, 0.055122073739767075, 0.011988619342446327, 0.0786193385720253, 0.016163932159543037, 0.014122565276920795, 0.002459724200889468, 0.9861003756523132, 0.9962499737739563 ], [ 0.4013841450214386, 0.1713118553161621, 0.00771467387676239, 0.14429640769958496, 0.03651389107108116, 0.09352689981460571, 0.025759290903806686, 0.08323517441749573, 0.03991028293967247, 0.9798043966293335, 0.993463397026062 ], [ 0.740220308303833, 0.019789978861808777, 0.09221004694700241, 0.023396236822009087, 0.04659999534487724, 0.04620562493801117, 0.98834627866745, 0.9955235719680786 ], [ 0.40138381719589233, 0.17131172120571136, 0.1347527801990509, 0.08468999713659286, 0.08588667213916779, 0.01823423244059086, 0.07878851145505905, 0.029157834127545357, 0.05582593008875847, 0.04189695417881012, 0.9905469417572021, 0.996286153793335 ], [ 0.4013836085796356, 0.016891419887542725, 0.05503632500767708, 0.029089048504829407, 0.004005019087344408, 0.13254229724407196, 0.013294356875121593, 0.07737429440021515, 0.008509073406457901, 0.004406750202178955, 0.018999960273504257, 0.0038278712891042233, 0.04872274398803711, 0.0626974031329155, 0.9149623513221741, 0.9879384636878967 ], [ 0.4013839066028595, 0.01689133234322071, 0.01648179069161415, 0.141595259308815, 0.014425531961023808, 0.08169322460889816, 0.01663248799741268, 0.011853137984871864, 0.0769614428281784, 0.8470524549484253, 0.9800099730491638 ], [ 0.4013812839984894, 0.012356986291706562, 0.138279989361763, 0.007390120532363653, 0.13448692858219147, 0.0026083802804350853, 0.98145592212677, 0.9946810603141785 ] ] }, { "q_id": "8291_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.23205476999282837, 0.12718628346920013, 0.15116101503372192, 0.9020187854766846, 0.002994844224303961 ], [ 0.30781906843185425, 0.205129936337471, 0.44761428236961365, 0.882622241973877, 0.004606335423886776 ], [ 0.2320551872253418, 0.08761315047740936, 0.3040229082107544, 0.8732625246047974, 0.004602457862347364 ], [ 0.10715800523757935, 0.2400675117969513, 0.968923032283783, 0.004519895184785128 ], [ 0.2320573478937149, 0.15176527202129364, 0.42076438665390015, 0.8619298338890076, 0.002994803013280034 ], [ 0.23205699026584625, 0.2040923684835434, 0.35788634419441223, 0.9157876968383789, 0.01916356012225151 ], [ 0.019773010164499283, 0.1864074170589447, 0.4272494614124298, 0.8953915238380432, 0.0038522789254784584 ], [ 0.23205476999282837, 0.1271873563528061, 0.15116162598133087, 0.902019202709198, 0.002994825830683112 ], [ 0.3078189790248871, 0.17591312527656555, 0.2695123851299286, 0.878913938999176, 0.001190448529087007 ], [ 0.23205605149269104, 0.14873184263706207, 0.47012484073638916, 0.8969770073890686, 0.0009625647217035294 ], [ 0.30781906843185425, 0.04977448657155037, 0.4241173267364502, 0.8939441442489624, 0.0025010292883962393 ], [ 0.2320554554462433, 0.14873340725898743, 0.41582775115966797, 0.8933655023574829, 0.002808352466672659 ], [ 0.23205751180648804, 0.17285281419754028, 0.14620397984981537, 0.9121453762054443, 0.0031614182516932487 ], [ 0.307822048664093, 0.1369820386171341, 0.12710659205913544, 0.8946689963340759, 0.003125324146822095 ], [ 0.23205699026584625, 0.15988072752952576, 0.1710403710603714, 0.900831937789917, 0.0029675313271582127 ], [ 0.3078177571296692, 0.13660377264022827, 0.254743367433548, 0.8810148239135742, 0.004572344943881035 ] ] }, { "q_id": "8982_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.11997104436159134, 0.0023739326279610395, 0.00014641147572547197, 0.11491160094738007, 0.015952272340655327, 0.09490096569061279, 0.009334731847047806, 0.0026833610609173775 ], [ 0.16300225257873535, 0.036115001887083054, 0.001426088740117848, 0.01059323363006115, 0.03368894010782242, 0.0012302750255912542, 0.0145033560693264, 0.002924386877566576 ], [ 0.09178401529788971, 0.025850165635347366, 0.0011970573104918003, 0.004328459035605192, 0.09104861319065094, 0.0004355512501206249, 0.009771931916475296, 0.02347290702164173, 0.003463105531409383 ], [ 0.002768127713352442, 0.0006479034200310707, 0.024877794086933136, 0.0005220409366302192, 0.003147175768390298, 0.03721208497881889, 0.006978361867368221, 0.02204642817378044, 0.015454662032425404 ], [ 0.13545356690883636, 0.031959906220436096, 0.009681067429482937, 0.03385704383254051, 0.0005311701097525656, 0.00988854467868805, 0.0037901357281953096 ], [ 0.13545607030391693, 0.001138749998062849, 0.05695869401097298, 0.0007521896040998399, 0.00687980093061924, 0.018754325807094574, 0.00434424402192235 ], [ 0.09178221225738525, 0.008666960522532463, 0.032444536685943604, 0.012937847524881363, 0.025669537484645844, 0.0035837299656122923 ], [ 0.13545696437358856, 0.033013276755809784, 0.001085026073269546, 0.020752253010869026, 0.0679062008857727, 0.0003619597991928458, 0.001296109869144857, 0.0028187395073473454 ], [ 0.002768102567642927, 0.007632765918970108, 0.0003093303239438683, 0.04446673020720482, 0.0026138792745769024, 0.028712715953588486, 0.0010352308163419366, 0.006664198357611895, 0.017914919182658195 ], [ 0.02350851148366928, 0.008267722092568874, 0.029772130772471428, 0.0003677485219668597, 0.06363391131162643, 0.013086539693176746, 0.10208039730787277, 0.0005315980524756014, 0.01871028169989586, 0.003417631611227989 ], [ 0.16974423825740814, 0.0020854619797319174, 0.00013356065028347075, 0.0994260162115097, 0.011521142907440662, 0.0850660502910614, 0.0007994743064045906, 0.005978445056825876, 0.0041388338431715965 ], [ 0.002768151229247451, 0.0006479142466560006, 0.024877887219190598, 0.0003378335095476359, 0.015147422440350056, 0.01252973172813654, 0.007673386484384537, 0.048818886280059814, 0.017555059865117073, 0.016846390441060066 ], [ 0.13545674085617065, 0.03301333636045456, 0.05131576955318451, 0.03975684940814972, 0.0019043982028961182, 0.007895472459495068, 0.0032422076910734177 ], [ 0.002768145874142647, 0.007764076814055443, 0.00025624720728956163, 0.021629273891448975, 0.002394308103248477, 0.01746160164475441, 0.014264250174164772 ], [ 0.03452090173959732, 0.01789328083395958, 0.000384716026019305, 0.09547226876020432, 0.008440564386546612, 0.10907259583473206, 0.0009454191313125193, 0.00925163459032774, 0.003592994762584567 ], [ 0.13545718789100647, 0.02809887006878853, 0.0012070552911609411, 0.004264868795871735, 0.013433222658932209, 0.012375874444842339, 0.00745875108987093, 0.028976241126656532, 0.047605596482753754, 0.004123772960156202 ] ] }, { "q_id": "8382_mmlu_math", "cot_ids": [ 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2198425829410553, 0.07452929764986038, 0.9930394291877747, 0.9962438344955444 ], [ 0.24985168874263763, 0.0017212892416864634, 0.19174626469612122, 0.9943310022354126, 0.9967023730278015 ], [ 0.21984241902828217, 0.0030964731704443693, 0.005140430293977261, 0.0018287037964910269, 0.017676079645752907, 0.023483064025640488, 0.017299382016062737, 0.057559672743082047, 0.006256034132093191, 0.0232453141361475, 0.004470448940992355 ], [ 0.21984031796455383, 0.13558970391750336, 0.11778928339481354, 0.3765896260738373, 0.04667799547314644 ], [ 0.1333923488855362, 0.28698816895484924, 0.534762442111969, 0.07192638516426086, 0.95598304271698 ], [ 0.177899569272995, 0.0009611433488316834, 0.04666425287723541, 0.0007759202853776515, 0.06203816086053848, 0.0004774652770720422, 0.037669502198696136, 0.9866341352462769 ], [ 0.17790019512176514, 0.0002548049669712782, 0.0015330512542277575, 2.017535916820634e-05, 0.00470734853297472, 0.9676895141601562 ], [ 0.17789949476718903, 0.006920410320162773, 0.14526650309562683, 0.02406090870499611, 0.9817016124725342 ], [ 0.177899569272995, 0.05759056285023689, 0.8322022557258606, 0.9908655285835266 ], [ 0.17789851129055023, 0.07356961816549301, 0.9923827052116394, 0.9958475232124329 ], [ 0.17789949476718903, 0.007142207585275173, 0.013010499067604542, 0.036633118987083435, 0.02903713472187519, 0.0021045315079391003 ], [ 0.21983866393566132, 0.07447915524244308, 0.32417649030685425, 0.9872350096702576 ], [ 0.08847666531801224, 0.13082191348075867, 0.5551429390907288, 0.9861337542533875, 0.9939680099487305 ], [ 0.17790131270885468, 0.07263579964637756, 0.04614799842238426, 0.022972244769334793, 0.002110198838636279 ], [ 0.13339190185070038, 0.051335614174604416, 0.9893380403518677, 0.9916281700134277 ] ] }, { "q_id": "7738_mmlu_math", "cot_ids": [ 0, 1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15 ], "rewards": [ [ 0.2620704472064972, 0.0015969740925356746, 0.08412507176399231, 0.037930965423583984, 0.006020248401910067, 0.010947958566248417, 0.004611489828675985 ], [ 0.26207295060157776, 0.0013000216567888856, 0.009911878034472466, 0.002299038227647543, 0.07458176463842392, 0.0022637706715613604, 0.05124296993017197, 0.006354690995067358, 0.020803209394216537, 0.0032644085586071014 ], [ 0.29047301411628723, 0.0013328328495845199, 0.008746876381337643, 0.006568442564457655, 0.0004940935759805143, 0.004488504026085138, 0.021158311516046524, 0.009517666883766651, 0.001554758520796895, 0.010026123374700546, 0.40282976627349854, 0.0716225877404213, 0.17902077734470367, 0.28095272183418274, 0.15057408809661865, 0.4667646884918213, 0.23991216719150543, 0.35801270604133606, 0.7785087823867798 ], [ 0.29047104716300964, 0.0015749766025692225, 0.0006577924941666424, 0.00927745271474123, 0.0010823841439560056, 0.0010092209558933973, 0.03368496894836426, 0.015497979708015919, 0.003392294282093644, 0.0016054246807470918, 0.026449978351593018, 0.0067040701396763325 ], [ 0.2904701828956604, 0.0015822879504412413, 0.017451295629143715, 0.023583367466926575, 0.0056978026404976845, 0.016627011820673943, 0.027019605040550232, 0.020165886729955673 ], [ 0.0694541409611702, 0.05273812264204025, 0.17892760038375854, 0.14139270782470703, 0.05263753980398178, 0.003502411302179098 ], [ 0.08137726783752441, 0.0313403494656086, 0.02793082781136036, 0.026627518236637115, 0.13203543424606323, 0.08452720940113068, 0.07211699336767197, 0.06629457324743271, 0.027846191078424454, 0.0037758152466267347 ], [ 0.29047203063964844, 0.0013783914037048817, 0.01411867793649435, 0.00036169937811791897, 0.01756947487592697, 0.009713846258819103, 0.0213885810226202, 0.0017436243360862136, 0.01043147686868906, 0.00870626699179411 ], [ 0.26207205653190613, 0.0016697588143870234, 0.01469079777598381, 0.0868808925151825, 0.05121701583266258, 0.06680263578891754, 0.013788177631795406, 0.006461940240114927, 0.00034414182300679386, 0.12561418116092682, 0.022529615089297295, 0.005646238569170237 ], [ 0.29047203063964844, 0.0013328418135643005, 0.013793718069791794, 0.04330199211835861, 0.008641784079372883, 0.016368718817830086, 0.0012972152326256037, 0.01478528417646885, 0.01533083152025938, 0.03397287428379059, 0.04607762396335602 ], [ 0.26207056641578674, 0.0013000339968129992, 0.008327527903020382, 0.005708667449653149, 0.07946771383285522, 0.028815582394599915, 0.04177617281675339, 0.007281897123903036, 0.03291110321879387, 0.049795374274253845, 0.02744808793067932 ], [ 0.2904721200466156, 0.0013328505447134376, 0.01713472418487072, 0.0026271995157003403, 0.042339205741882324, 0.019322628155350685, 0.004104804713279009, 0.0007408917299471796, 0.01451884862035513, 0.02411980926990509, 0.006045888643711805 ], [ 0.290475070476532, 0.0015750171151012182, 0.0006577946478500962, 0.0004862354544457048, 0.08258036524057388, 0.00873944628983736, 0.004705645143985748, 0.00047591576003469527, 0.09126339852809906, 0.01869184523820877, 0.05050182342529297, 0.03159969300031662, 0.029397718608379364, 0.004358567297458649 ] ] }, { "q_id": "7860_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.41811731457710266, 0.021760059520602226, 0.22007936239242554, 0.6952860355377197, 0.2111986130475998, 0.00045015764771960676, 0.07278958708047867, 0.06485170871019363, 0.02221290022134781, 0.015395128168165684, 0.006754186470061541 ], [ 0.1922544240951538, 0.7327998876571655, 0.21036294102668762, 0.35764050483703613, 0.008791453205049038, 0.008618196472525597, 0.0037279303651303053 ], [ 0.08980726450681686, 0.1852831244468689, 0.050655584782361984, 0.35533612966537476, 0.3190484344959259, 0.6873596906661987, 0.006595493294298649, 0.09850495308637619, 0.1286046802997589, 0.13221187889575958, 0.004370804876089096, 0.13697442412376404, 0.10007932782173157, 0.011213329620659351, 0.004850627388805151 ], [ 0.007939075119793415, 0.0036106279585510492 ], [ 0.10279890149831772, 0.16819292306900024, 0.07433324307203293, 0.4865964353084564, 0.16698279976844788, 0.7313042283058167, 0.17610321938991547, 0.11037606000900269, 0.10627541691064835, 0.013396190479397774, 0.00568896159529686 ], [ 0.3648373484611511, 0.0004199023824185133, 0.17976711690425873, 0.053820252418518066, 0.24165187776088715, 0.12829630076885223, 0.7877675890922546, 0.021114151924848557, 0.02589241787791252, 0.11532393842935562, 0.0012717933859676123, 0.3551724851131439, 0.14759236574172974, 0.15588103234767914, 0.07010843604803085, 0.014904594048857689, 0.007409422192722559 ], [ 0.04650363326072693, 0.034901246428489685, 0.1277790516614914, 0.04203927144408226, 0.8452357649803162, 0.172185018658638, 0.3019089996814728, 0.0007203312125056982, 0.2247970998287201, 0.06083692982792854, 0.013763666152954102, 0.005839783698320389 ], [ 0.10291142016649246, 0.821633517742157, 0.03203655779361725, 0.00611480139195919, 0.004733998328447342 ], [ 0.4288247525691986, 0.022659339010715485, 0.28923553228378296, 0.14303402602672577, 0.6679156422615051, 0.05470604449510574, 0.22190822660923004, 0.0003577885217964649, 0.3171601891517639, 0.1297786980867386, 0.31480440497398376, 0.025051165372133255, 0.019022732973098755, 0.006248112302273512 ], [ 0.24998131394386292, 0.04279784858226776, 0.21238194406032562, 0.08052737265825272, 0.7628637552261353, 0.0380236841738224, 0.32572275400161743, 0.0033058032859116793, 0.25758928060531616, 0.2124353051185608, 0.010837753303349018, 0.0063120340928435326 ], [ 0.09413720667362213, 0.14762935042381287, 0.07425142824649811, 0.33910781145095825, 0.24546508491039276, 0.7687903046607971, 0.002565996255725622, 0.06600228697061539, 0.12999796867370605, 0.10934456437826157, 0.009291940368711948, 0.024484312161803246, 0.06028208136558533, 0.03251804783940315, 0.09928238391876221, 0.03564121201634407, 0.30627015233039856, 0.027415597811341286, 0.14758817851543427, 0.019885484129190445, 0.0950460135936737, 0.08226366341114044, 0.16835804283618927, 0.1259821355342865, 0.13810564577579498, 0.17247746884822845, 0.20100514590740204, 0.037963781505823135, 0.006182219833135605 ], [ 0.31283244490623474, 0.8279808759689331, 0.2832859456539154, 0.03979553282260895, 0.0048900446854531765 ], [ 0.09656709432601929, 0.3741791844367981, 0.12407896667718887, 0.797344982624054, 0.04020841792225838, 0.21317188441753387, 0.06317191570997238, 0.005965981166809797, 0.004991042893379927 ], [ 0.34701624512672424, 0.0029917347710579634, 0.19206200540065765, 0.05139544978737831, 0.2293097823858261, 0.25312650203704834, 0.7567916512489319, 0.3037065863609314, 0.00966454204171896, 0.1760805994272232, 0.17359745502471924, 0.014297247864305973, 0.006098784506320953 ], [ 0.45227980613708496, 0.013692270964384079, 0.15456002950668335, 0.0423581562936306, 0.7480363249778748, 0.04441487789154053, 0.11984685063362122, 0.0166630856692791, 0.004507554229348898 ], [ 0.25191187858581543, 0.004417910240590572, 0.1620907336473465, 0.21589478850364685, 0.12886649370193481, 0.6266916990280151, 0.07900898158550262, 0.0016935340827330947, 0.21255189180374146, 0.17856360971927643, 0.1414174884557724, 0.023909451439976692, 0.009788538329303265 ] ] }, { "q_id": "7799_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ], "rewards": [ [ 0.00013478337496053427, 0.16355839371681213, 0.05813631787896156, 0.12681087851524353, 0.005428634583950043, 0.12642399966716766, 0.42204049229621887, 0.04218996688723564, 0.9350974559783936, 0.31647107005119324 ], [ 0.0031786905601620674, 0.05997106805443764, 0.00024841525009833276, 0.1942586600780487, 0.2310568243265152, 0.07536645233631134, 0.1115298718214035, 0.018046822398900986, 0.12228349596261978, 0.4515697658061981, 0.0943773090839386, 0.7420947551727295, 0.11523684114217758 ], [ 0.06408919394016266, 7.420167094096541e-05, 0.07830514758825302, 0.00021525128977373242, 0.06402964144945145, 0.0016466735396534204, 0.24958904087543488, 0.004567944910377264, 0.07558739185333252, 0.01549842394888401 ], [ 0.064087875187397, 7.420209294650704e-05, 0.07976744323968887, 0.00015364692080765963, 0.06152915954589844, 0.0036311689764261246, 0.027895260602235794, 0.08197950571775436, 0.004148987587541342, 0.029353884980082512, 0.0013015393633395433, 0.019061338156461716, 0.008173053152859211, 0.5695204734802246, 0.1018643006682396, 0.41383787989616394, 0.07182987034320831 ], [ 0.033122774213552475, 0.15794888138771057, 0.23449479043483734, 0.04102408140897751, 0.2232675701379776, 0.08852535486221313, 0.16120776534080505, 0.07512758672237396, 0.22622057795524597, 0.5384489297866821, 0.6948100924491882, 0.10781960934400558 ], [ 0.06408931314945221, 7.420194742735475e-05, 0.09898212552070618, 0.0002656101423781365, 0.10337159782648087, 0.002152827102690935, 0.044018492102622986, 0.0007962749223224819, 0.4575748145580292, 0.0987749695777893, 0.6368076801300049, 0.2147112637758255 ], [ 0.03416132181882858, 0.1628883183002472, 0.20053809881210327, 0.10570106655359268, 0.045441582798957825 ], [ 0.06408916413784027, 7.42020201869309e-05, 0.07976780086755753, 0.00020997134561184794, 0.061809368431568146, 0.003425886854529381, 0.005606252700090408, 0.2600215673446655, 0.0776323676109314, 0.023073503747582436, 0.0021235987078398466, 0.5065104961395264, 0.5640209317207336 ], [ 0.06408967822790146, 5.2264182158978656e-05, 0.06726325303316116, 0.000147016515256837, 0.0725472941994667, 0.0031432677060365677, 0.014686656184494495, 0.052133385092020035, 0.05100522190332413, 0.015003172680735588, 0.11326523870229721, 0.029836934059858322 ], [ 0.04643937945365906, 0.00018470792565494776, 0.20068354904651642, 0.07749802619218826, 0.11775936186313629, 0.06953020393848419, 0.5612977147102356, 0.3725816309452057, 0.03155103325843811, 0.13179083168506622, 0.03912345692515373 ], [ 0.00013974103785585612, 0.1578075885772705, 0.3258151113986969, 0.05643244832754135, 0.1369370073080063, 0.11575820297002792, 0.6770539879798889, 0.31482166051864624, 0.011900772340595722, 0.664923906326294, 0.09975487738847733, 0.8818608522415161, 0.09084389358758926 ], [ 0.06408959627151489, 7.420209294650704e-05, 0.07976716756820679, 0.00020996913372073323, 0.23251736164093018, 0.008769586682319641, 0.04146132245659828, 0.066767618060112, 0.001940559595823288, 0.04626689478754997, 0.029573507606983185, 0.015431555919349194, 0.029319828376173973 ], [ 0.06408931314945221, 7.420194742735475e-05, 0.07976807653903961, 0.00014740152982994914, 0.07347168773412704, 0.0033742673695087433, 0.03223421052098274, 0.08411677181720734, 0.01410466618835926, 0.07289601117372513, 0.5458328127861023, 0.0026233091484755278, 0.3142833709716797, 0.9775418043136597 ], [ 0.0023462465032935143, 0.023898374289274216, 0.00015513434482272714, 0.17433470487594604, 0.2129446566104889, 0.08716464042663574, 0.1309613287448883, 0.040540073066949844, 0.5057911276817322, 0.3228098750114441, 0.014836017973721027, 0.6456654071807861, 0.16701611876487732, 0.9408811926841736, 0.74692302942276 ], [ 0.029478004202246666, 3.4052241971949115e-05, 0.16451449692249298, 0.1999635249376297, 0.06007011979818344, 0.15845417976379395, 0.10379297286272049, 0.6414767503738403, 0.3263435661792755, 0.6647085547447205, 0.10101087391376495, 0.9266636371612549, 0.21268631517887115 ] ] }, { "q_id": "8085_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3419823944568634, 0.020236842334270477, 0.04740703105926514, 0.019304636865854263, 0.11118385940790176, 0.08768930286169052, 0.015525278635323048, 0.015584136359393597, 0.07298152893781662, 0.002880837069824338, 0.05632377415895462, 0.012260501272976398, 0.06003754585981369, 0.012850845232605934, 0.1383717656135559, 0.16284720599651337, 0.9785597920417786, 0.9923083782196045 ], [ 0.24915970861911774, 0.11617083102464676, 0.3169254958629608, 0.25551560521125793, 0.8962553143501282, 0.3377286195755005 ], [ 0.3419845700263977, 0.0821690782904625, 0.042881518602371216, 0.027901867404580116, 0.00430817436426878, 0.024151870980858803, 0.03859619051218033, 0.03292476758360863, 0.04659220203757286, 0.10922680795192719, 0.0914384201169014, 0.029867233708500862, 0.003646740224212408, 0.13380883634090424, 0.035955823957920074, 0.007631318178027868, 0.01581975631415844, 0.0019588209688663483 ], [ 0.3419847786426544, 0.13171717524528503, 0.009438888169825077, 0.09203294664621353, 0.007579450029879808, 0.09289907664060593, 0.03704783692955971, 0.02189801260828972, 0.006665270775556564, 0.00014778011245653033, 0.02783985435962677, 0.05506599321961403, 0.03101656213402748, 0.09902462363243103, 0.035514675080776215, 0.050729285925626755, 0.0015077816788107157 ], [ 0.2508983612060547, 0.010061612352728844, 0.00169914192520082, 0.015244297683238983, 0.012109520845115185, 0.012418744154274464, 0.09901849180459976, 0.009813259355723858, 0.0007606405415572226, 0.00542207108810544, 0.9765058159828186, 0.8175911903381348 ], [ 0.7588266134262085, 0.05152427777647972, 0.10695720463991165, 0.11217431724071503, 0.2812421917915344, 0.056867558509111404, 0.08600321412086487, 0.09706854075193405, 0.8613709807395935, 0.9750598073005676 ], [ 0.34198424220085144, 0.0318048931658268, 0.5358507633209229, 0.10303302109241486, 0.038968946784734726, 0.03682751953601837, 0.014886588789522648, 0.055266816169023514, 0.009325819090008736, 0.015941988676786423, 0.015849050134420395, 0.8707225322723389, 0.9889993071556091 ], [ 0.32806676626205444, 0.2280162125825882, 0.03367570415139198, 0.2232704609632492, 0.05820557847619057, 0.10128194838762283, 0.17978180944919586, 0.01846921443939209, 0.0959995836019516, 0.25718310475349426, 0.12292584031820297, 0.7416916489601135, 0.9829968214035034, 0.9905838966369629 ], [ 0.34198424220085144, 0.031804587692022324, 0.6205541491508484, 0.21604673564434052, 0.002611324656754732, 0.010000867769122124, 0.00632257666438818, 0.050209883600473404, 0.012051435187458992, 0.03856290504336357, 0.06407904624938965, 0.9605666995048523, 0.9946514964103699 ], [ 0.3466417193412781, 0.0249716155230999, 0.025563621893525124, 0.04488086327910423, 0.07584931701421738, 0.038839295506477356, 0.024387508630752563, 0.013952042907476425, 0.1542356163263321, 0.1504335105419159, 0.03314405307173729, 0.03539333492517471, 0.027036434039473534, 0.004613091703504324, 0.0027846195735037327 ], [ 0.7327113151550293, 0.04030643031001091, 0.13478714227676392, 0.04792410507798195, 0.018103163689374924, 0.030375991016626358, 0.025562623515725136, 0.01862749084830284, 0.0012160161277279258, 0.2061227709054947, 0.9618831276893616, 0.9953604340553284 ], [ 0.18158088624477386, 0.19342732429504395, 0.01774957962334156, 0.014964500442147255, 0.010837988927960396, 0.0016632858896628022 ], [ 0.694850504398346, 0.03542047366499901, 0.2574695944786072, 0.02514995075762272, 0.15867634117603302, 0.01781027764081955, 0.06134296953678131, 0.057453420013189316, 0.10068614780902863, 0.04316244274377823 ], [ 0.3419801592826843, 0.019125118851661682, 0.023310426622629166, 0.00035079140798188746, 0.037770286202430725, 0.00758660864084959, 0.006448154803365469, 0.07838120311498642, 0.005130403209477663, 0.15468057990074158, 0.09540694206953049, 0.031562864780426025, 0.0380280464887619, 0.8229297995567322, 0.991797685623169 ], [ 0.3419836163520813, 0.026334963738918304, 0.018055859953165054, 0.12410380691289902, 0.04777050390839577, 0.09072667360305786, 0.020069321617484093, 0.0016255512600764632, 0.2274128794670105, 0.07555334270000458, 0.8513495922088623, 0.9865831732749939 ] ] }, { "q_id": "8637_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6436749696731567, 0.5034282803535461, 0.20422711968421936, 0.0014864270342513919, 0.0004009591357316822 ], [ 0.3692964017391205, 0.0005968667101114988 ], [ 0.4183075726032257, 0.15019890666007996, 0.13307014107704163, 0.18084245920181274, 0.43476971983909607, 0.31144651770591736, 0.2068820744752884, 0.00203673611395061, 0.0004527815617620945 ], [ 0.0581054650247097, 0.14037220180034637, 0.04543893411755562, 0.08119199424982071, 0.19305318593978882, 0.0800292044878006, 0.00886367354542017, 0.3308834135532379, 0.22053876519203186, 0.050773024559020996, 0.1381702870130539, 0.00622712355107069, 0.0018398358952254057, 0.0004837723099626601 ], [ 0.23512135446071625, 0.10823690891265869, 0.08322782069444656, 0.11606071889400482, 0.06186721473932266, 0.04821951687335968, 0.097740039229393, 0.0025548585690557957, 0.0004459366900846362 ], [ 0.146311417222023, 0.07087765634059906, 0.0835205689072609, 0.1245172992348671, 0.06815946102142334, 0.1888781189918518, 0.34019699692726135, 0.0006107183871790767, 0.04124407470226288, 0.12641572952270508, 0.011776505038142204, 0.0018961247988045216, 0.00044264504685997963 ], [ 0.6471071839332581, 0.039235375821590424, 0.2614951729774475, 0.30791908502578735, 0.24462196230888367, 0.2088908702135086, 0.003766158130019903, 0.002054300857707858, 0.00047757179709151387 ], [ 0.05062120035290718, 0.04493804648518562, 0.06399527937173843, 0.10894694179296494, 0.09661951661109924, 0.0060979207046329975, 0.08831565827131271, 0.023108556866645813, 0.7520714998245239, 0.026769304648041725, 0.08101968467235565, 0.004017726052552462, 0.0020547867752611637, 0.00046781764831393957 ], [ 0.39126044511795044, 0.008889107964932919, 0.0027835997752845287, 0.0004721410514321178 ], [ 0.5969496369361877, 0.15356485545635223, 0.08497902750968933, 0.14774470031261444, 0.2574835419654846, 0.29047468304634094, 0.3601207435131073, 0.2117229849100113, 0.004098140634596348, 0.001484455307945609, 0.0005210362724028528 ], [ 0.13969793915748596, 0.11197029054164886, 0.10327202826738358, 0.08818183839321136, 0.6462810635566711, 0.09241453558206558, 0.1515146791934967, 0.0059333378449082375, 0.0017006671987473965, 0.0004852862621191889 ], [ 0.114412821829319, 0.027442792430520058, 0.12498614937067032, 0.028800787404179573, 0.10502022504806519, 0.11601690202951431, 0.07705047726631165, 0.07483089715242386, 0.01858893409371376, 0.10837237536907196, 0.03341882303357124, 0.09487234055995941, 0.34283512830734253, 0.020734142512083054, 0.40635988116264343, 0.035655427724123, 0.13755469024181366, 0.0076322536915540695, 0.08653917908668518, 0.010010475292801857, 0.0036801593378186226, 0.0004819000605493784 ], [ 0.7310570478439331, 0.028505105525255203, 0.025318128988146782, 0.08206157386302948, 0.029254678636789322, 0.025276757776737213, 0.04777078330516815, 0.20546475052833557, 0.02508198656141758, 0.045799899846315384, 0.02522576041519642, 0.02547859400510788, 0.024956144392490387, 0.05682987719774246, 0.04877527803182602, 0.38774219155311584, 0.028573665767908096, 0.026651455089449883, 0.03946418687701225, 0.14266836643218994, 0.5029191374778748, 0.051380474120378494, 0.08898590505123138, 0.025653572753071785, 0.00046732404734939337, 0.0027794362977147102, 0.0005063689313828945 ], [ 0.7310588955879211, 0.02991194650530815, 0.09892923384904861, 0.004635954741388559, 0.02987900748848915, 0.10298614203929901, 0.03350993990898132, 0.028191005811095238, 0.0234121922403574, 0.02313646487891674, 0.19659006595611572, 0.010005024261772633, 0.11444785445928574, 0.07695303857326508, 0.5855217576026917, 0.04950236901640892, 0.07785604149103165, 0.0004592247132677585, 0.2331271916627884, 0.1216217502951622, 0.0002569900534581393 ], [ 0.10941977798938751, 0.16034768521785736, 0.03513241559267044, 0.1346375197172165, 0.043720219284296036, 0.08860504627227783, 0.1418357789516449, 0.0832626149058342, 0.09281673282384872, 0.0077474829740822315, 0.1446419507265091, 0.03631509095430374, 0.1672632247209549, 0.6191696524620056, 0.017896851524710655, 0.34027406573295593, 0.07576049119234085, 0.5451348423957825, 0.04708489403128624, 0.16257859766483307, 0.01050997618585825, 0.07324815541505814, 0.02573259547352791, 0.002530839294195175, 0.0004635760560631752 ], [ 0.7310610413551331, 0.06544361263513565, 0.059820301830768585, 0.01838875375688076, 0.06572943925857544, 0.11505236476659775, 0.05844264104962349, 0.0027969982475042343, 0.0005155756953172386 ] ] }, { "q_id": "8581_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7515435814857483, 0.6244633197784424, 0.2560648024082184, 0.15634135901927948, 0.04275865852832794, 0.015179728157818317 ], [ 0.8329590559005737, 0.06747891008853912, 0.011566532775759697, 0.5997452735900879, 0.007163459435105324, 0.000850138661917299, 0.050309207290410995, 0.20166239142417908, 0.3705616891384125, 0.004313051700592041, 0.10056731104850769, 0.0012399748666211963, 0.03155772015452385, 0.04310675337910652, 0.015405943617224693, 0.022498557344079018 ], [ 0.9572231769561768, 0.01248082797974348, 0.46247610449790955, 0.03029497340321541, 0.16860869526863098, 0.7133325338363647, 0.02492085099220276, 0.11540161073207855, 0.0035518205258995295, 0.12601064145565033, 0.04342662915587425, 0.01842512935400009, 0.07871348410844803, 0.021561598405241966 ], [ 0.4708399474620819, 0.4499102830886841, 0.13768701255321503, 0.013199982233345509, 0.08137449622154236, 0.10858413577079773, 0.14352662861347198, 0.05236268416047096, 0.07391214370727539 ], [ 0.8133423328399658, 0.008660734631121159, 0.09362353384494781, 0.005675171036273241, 0.006028494797646999, 0.0016024084761738777, 0.04403747618198395, 0.0032601661514490843, 0.045480068773031235, 0.019667208194732666 ], [ 0.5470505952835083, 0.08208779990673065, 0.005044760648161173, 0.33594098687171936, 0.1388268619775772, 0.01934620924293995, 0.015201522037386894, 0.05037044361233711, 0.048196081072092056, 0.07176738977432251, 0.024129483848810196 ], [ 0.18505339324474335, 0.3350195288658142, 0.38385915756225586, 0.012874960899353027, 0.06863009184598923, 0.038122665137052536, 0.8972595930099487, 0.9856202602386475 ], [ 0.9534454941749573, 0.23533184826374054, 0.005043722223490477, 0.449389785528183, 0.002462505828589201, 0.025119664147496223, 0.0008319728076457977, 0.5351294875144958, 0.1551220864057541 ], [ 0.11543729156255722, 0.587658703327179, 0.6708372235298157, 0.1778135895729065, 0.014879584312438965, 0.003559037344530225, 0.025813674554228783, 0.11315847933292389, 0.23638778924942017, 0.10474413633346558, 0.06760191172361374 ], [ 0.8138369917869568, 0.20058675110340118, 0.38243401050567627, 0.012185796163976192, 0.0956009030342102, 0.07455380260944366 ], [ 0.9534458518028259, 0.17263829708099365, 0.00799055676907301, 0.6707023978233337, 0.23066140711307526, 0.009857462719082832, 0.05753044784069061, 0.04208294302225113, 0.7408322095870972, 0.12146195024251938 ], [ 0.7720676064491272, 0.008988138288259506, 0.0531180240213871, 0.3158206641674042, 0.16886965930461884, 0.005294652655720711, 0.008243946358561516, 0.001885024132207036, 0.14947815239429474, 0.00653343740850687, 0.0291764959692955, 0.047516800463199615, 0.020539719611406326 ], [ 0.832959771156311, 0.006768151186406612, 0.22643513977527618, 0.00679412018507719, 0.0075874109752476215, 0.001912275212816894, 0.043489620089530945, 0.0037027434445917606, 0.036517076194286346, 0.016855500638484955 ], [ 0.9534460306167603, 0.02486877329647541, 0.3189505636692047, 0.023616595193743706, 0.6863631010055542, 0.24629010260105133, 0.022256966680288315, 0.01784592866897583, 0.05321533605456352, 0.11405805498361588, 0.22277064621448517, 0.12227334827184677, 0.0785234346985817 ], [ 0.8316026329994202, 0.006142687052488327, 0.43838435411453247, 0.006191669497638941, 0.027460768818855286, 0.0008496325463056564, 0.05977647006511688, 0.004386058542877436, 0.9750188589096069, 0.9916921854019165 ], [ 0.6874498724937439, 0.1608170121908188, 0.015909481793642044, 0.019796406850218773, 0.004916544072329998 ] ] }, { "q_id": "8890_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.547529399394989, 0.9901108145713806, 0.9507144689559937 ], [ 0.6770970225334167, 0.9930393099784851, 0.9586244225502014 ], [ 0.8448452353477478, 0.22162826359272003, 0.9945523142814636, 0.9808753728866577 ], [ 0.4934791326522827, 0.9908463358879089, 0.9616464972496033 ], [ 0.8378666639328003, 0.33182188868522644, 0.12501968443393707, 0.9899908304214478, 0.968576192855835 ], [ 0.6115751266479492, 0.9854915142059326, 0.77802574634552 ], [ 0.8350059390068054, 0.0015283782267943025, 0.3593856692314148, 0.04739072918891907, 0.9921820759773254, 0.8747912049293518 ], [ 0.6135169863700867, 0.9935584664344788, 0.9440159797668457 ], [ 0.6231290698051453, 0.6051128506660461, 0.9984996318817139, 0.996370792388916 ], [ 0.719456136226654, 0.6925963163375854, 0.9976698756217957, 0.9938162565231323 ], [ 0.8448452353477478, 0.48499035835266113, 0.9864389896392822, 0.46177244186401367 ], [ 0.6690086722373962, 0.9915153980255127, 0.9576358199119568 ], [ 0.5091353058815002, 0.9819250106811523, 0.5708566904067993 ], [ 0.5979294776916504, 0.9830427169799805, 0.535887598991394 ], [ 0.6135158538818359, 0.9958750605583191, 0.9780746698379517 ], [ 0.8612127304077148, 0.004687550012022257, 0.510270357131958, 0.009531763382256031, 0.9935508966445923, 0.9654432535171509 ] ] }, { "q_id": "8303_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15 ], "rewards": [ [ 0.07448142766952515, 0.07315634936094284, 0.004722394980490208, 0.016791384667158127, 0.018355928361415863, 0.020242996513843536, 0.01100371778011322, 0.016291018575429916, 0.025162450969219208, 0.007753434125334024 ], [ 0.040419094264507294, 0.02268679253757, 0.02583553083240986, 0.00094512541545555, 0.00604641018435359, 0.00872047245502472, 0.016581160947680473, 0.003136842045933008, 0.02188306488096714, 0.0007016711169853806, 0.02542286552488804, 0.026855094358325005, 0.017421608790755272 ], [ 0.06484712660312653, 0.021711187437176704, 0.023633448407053947, 0.01490137167274952 ], [ 0.041789665818214417, 0.03730396926403046, 0.04652171954512596, 0.03972331061959267, 0.014330663718283176 ], [ 0.023351216688752174, 0.005073028616607189, 0.018011560663580894, 0.0008303523645736277, 0.017648445442318916, 0.007814465090632439, 0.010769088752567768, 0.0025684896390885115, 0.002137725939974189, 0.05937834829092026, 0.0004694116651080549, 0.04824124649167061, 0.014509103260934353, 0.006850849371403456 ], [ 0.038795437663793564, 0.00869467481970787, 0.1864696890115738, 0.0013765286421403289, 0.02071906439960003, 0.0012154810829088092, 0.00926530733704567, 0.016926517710089684, 0.005881177261471748, 0.017209414392709732, 0.008460083045065403, 0.02670043520629406, 0.04477497562766075, 0.021620508283376694 ], [ 0.04178968444466591, 0.02605464868247509, 0.042741257697343826, 0.0076547469943761826 ], [ 0.10909248143434525, 0.1470821648836136, 0.11019545793533325, 0.010460528545081615, 0.019094539806246758, 0.021727491170167923, 0.07177311182022095 ], [ 0.041790105402469635, 0.03730433061718941, 0.026284318417310715, 0.03483922407031059, 0.04580698534846306, 0.01481193769723177 ], [ 0.04041917249560356, 0.031152091920375824, 0.029427185654640198, 0.0339549295604229, 0.05654221028089523, 0.04679790511727333, 0.04369576275348663, 0.06521409004926682, 0.04393116384744644, 0.0017469614977017045, 0.046103768050670624, 0.03734445571899414, 0.008407017216086388, 0.012991205789148808 ], [ 0.6980220675468445, 0.09541500359773636, 0.1084095761179924, 0.4095815420150757, 0.04835169389843941, 0.010310445912182331 ], [ 0.041789665818214417, 0.023508839309215546, 0.03237297013401985, 0.01671137847006321, 0.008298028260469437, 0.010499187745153904, 0.05724590644240379, 0.02581685222685337, 0.026387762278318405, 0.006182287819683552 ], [ 0.03934832289814949, 0.042853809893131256, 0.027032509446144104, 0.028000358492136, 0.003708822187036276, 0.03391556814312935, 0.019149644300341606, 0.04743901267647743, 0.03842103108763695, 0.015713654458522797 ], [ 0.04053576663136482, 0.011023137718439102, 0.033104944974184036, 0.0037517515011131763, 0.02039126679301262, 0.019892707467079163, 0.051798395812511444, 0.0012694461038336158, 0.01927562616765499, 0.02546026185154915, 0.03529137745499611, 0.0494818240404129, 0.08286983519792557 ], [ 0.015547515824437141, 0.024992745369672775, 0.07118674367666245, 0.04754006862640381, 0.01958356611430645, 0.04326914995908737, 0.018547354266047478, 0.024728825315833092, 0.04808711260557175, 0.01627356745302677 ] ] }, { "q_id": "8905_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.18853208422660828, 0.18154305219650269, 0.7342853546142578, 0.4403143525123596 ], [ 0.21085768938064575, 0.24938687682151794, 0.8619297742843628, 0.5521277189254761 ], [ 0.40904858708381653, 0.899690568447113, 0.8547812104225159 ], [ 0.3419712483882904, 0.0721377357840538, 0.7245169281959534, 0.4598136842250824 ], [ 0.34197211265563965, 0.10675977915525436, 0.8703814148902893, 0.7515562772750854 ], [ 0.34196996688842773, 0.0951269343495369, 0.7912878394126892, 0.5296844244003296 ], [ 0.34141823649406433, 0.1941264569759369, 0.9792638421058655, 0.981489360332489 ], [ 0.4850877523422241, 0.8841503262519836, 0.47302913665771484 ], [ 0.3419712483882904, 0.06900158524513245, 0.6820182800292969, 0.21750755608081818 ], [ 0.6559104323387146, 0.27704814076423645, 0.9533118009567261, 0.9367457628250122 ], [ 0.49428653717041016, 0.9886434674263, 0.9913340210914612 ], [ 0.15983782708644867, 0.2459631860256195, 0.7921741008758545, 0.472361296415329 ], [ 0.4703032374382019, 0.9606914520263672, 0.9467138648033142 ], [ 0.34100982546806335, 0.12172103673219681, 0.7272366285324097, 0.36032626032829285 ], [ 0.14793242514133453, 0.20460112392902374, 0.7574887275695801, 0.46285465359687805 ], [ 0.44227465987205505, 0.96629399061203, 0.9468754529953003 ] ] }, { "q_id": "8979_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6496301889419556, 0.12514016032218933, 0.008350387215614319, 0.20965279638767242, 0.19047774374485016, 0.0011871567694470286, 0.22192732989788055, 0.43031707406044006 ], [ 0.16553995013237, 0.048523273319005966, 0.5179754495620728, 0.9252211451530457 ], [ 0.4821566045284271, 0.00819881446659565, 0.02117079496383667, 0.013359636068344116, 0.011194013059139252, 0.014679730869829655, 0.04094330593943596, 0.00682807294651866, 0.7784749865531921, 0.30679115653038025 ], [ 0.15523415803909302, 0.08219198137521744, 0.3417983055114746, 0.5529267191886902, 0.4014900326728821 ], [ 0.6512877345085144, 0.014841699041426182, 0.25701025128364563, 0.1857672482728958, 0.42907923460006714, 0.15138250589370728 ], [ 0.0944371148943901, 0.02496638149023056, 0.0029977515805512667, 0.2586749494075775, 0.0010367586510255933, 0.20301605761051178, 0.4018917977809906 ], [ 0.6633782386779785, 0.047869354486465454, 0.05580710992217064, 0.04325870797038078, 0.04180697724223137, 0.03218889608979225, 0.04547036066651344, 0.08137338608503342, 0.9503459930419922, 0.6572959423065186 ], [ 0.2079787254333496, 0.4684240520000458, 0.013071117922663689, 0.03484538197517395, 0.015202921815216541, 0.029602549970149994, 0.9150534868240356, 0.7082558274269104 ], [ 0.24287079274654388, 0.020089898258447647, 0.14675292372703552, 0.19488973915576935 ], [ 0.034444697201251984, 0.026921309530735016, 0.40464308857917786, 0.2150794118642807 ], [ 0.45990097522735596, 0.005032573826611042, 0.010785014368593693, 0.018988434225320816, 0.021128062158823013, 0.014617593958973885, 0.030976315960288048, 0.1659400314092636 ], [ 0.27075496315956116, 0.43037164211273193, 0.6169528365135193, 0.7222139835357666 ], [ 0.03980697691440582, 0.03801918402314186, 0.0841168761253357, 0.8074018359184265 ], [ 0.5813802480697632, 0.14883536100387573, 0.25184449553489685, 0.3905355632305145 ], [ 0.3203432559967041, 0.040097013115882874, 0.04882311448454857, 0.004491095896810293, 0.002989357803016901 ], [ 0.5775317549705505, 0.0037253317423164845, 0.616454541683197, 0.0013283694861456752, 0.7673795223236084, 0.9567180275917053 ] ] }, { "q_id": "7766_mmlu_math", "cot_ids": [ 0, 3, 4, 6, 7, 8, 10, 11, 12, 13, 14 ], "rewards": [ [ 0.2653290927410126, 0.012927328236401081, 0.14674074947834015, 0.001189325237646699, 0.012840505689382553, 0.060815878212451935, 0.06972595304250717, 0.01161904912441969, 0.03706607222557068, 0.005179825238883495, 0.08192425221204758, 0.11782144755125046, 0.01926838792860508 ], [ 0.36593905091285706, 0.002897778060287237, 0.041966088116168976, 0.08677426725625992, 0.010561216622591019, 0.009253287687897682, 0.04647928476333618, 0.01866494119167328, 0.0019427577499300241, 0.004620169289410114, 0.035469479858875275, 0.0711887925863266, 0.03552674874663353, 0.009391999803483486, 0.012212980538606644 ], [ 0.08625534921884537, 0.0031095140147954226, 0.013659249991178513, 0.003566639730706811, 0.0067055681720376015, 0.0016290599014610052, 0.028754446655511856, 0.01648838445544243, 0.07802332937717438, 0.0504101887345314, 0.031915560364723206, 0.03195078670978546, 0.024550890550017357 ], [ 0.0862550437450409, 0.0031095275189727545, 0.009035291150212288, 0.0016494455048814416, 0.027454568073153496, 0.009834619238972664, 0.007909259758889675, 0.0032498089130967855, 0.004735144320875406, 0.006700437981635332, 0.007454954087734222, 0.04380204901099205, 0.01279475912451744, 0.02987920120358467, 0.05810016766190529, 0.0016776592237874866, 0.06358131766319275, 0.1340644359588623, 0.05381457135081291, 0.03780437260866165 ], [ 0.08625572174787521, 0.003109507728368044, 0.013659263961017132, 0.0035666869953274727, 0.026471279561519623, 0.01326986588537693, 0.007223227061331272, 0.003818365978077054, 0.013612880371510983, 0.015661045908927917, 0.032792672514915466, 0.0005778567865490913, 0.06816381961107254, 0.0029288867954164743, 0.01873413659632206, 0.0008620645967312157, 0.01058382261544466, 0.0025042465422302485, 0.08398359268903732, 0.0925857350230217, 0.037568338215351105, 0.03063041903078556, 0.10513398051261902, 0.14536228775978088, 0.047928109765052795 ], [ 0.3659367263317108, 0.0028977645561099052, 0.00774632440879941, 0.054423604160547256, 0.11143653839826584, 0.003047175705432892, 0.0015883696032688022, 0.054136972874403, 0.09490469843149185, 0.0016856982838362455, 0.10871187597513199, 0.2552568018436432, 0.021137481555342674, 0.016816744580864906, 0.059187889099121094, 0.07753082364797592, 0.0005294035654515028, 0.13905447721481323, 0.07653070241212845, 0.05909120664000511 ], [ 0.365935742855072, 0.002897753147408366, 0.013848134316504002, 0.00208263355307281, 0.0038706043269485235, 0.11377744376659393, 0.021131660789251328, 0.09384963661432266, 0.015250619500875473, 0.022714456543326378, 0.028459860011935234, 0.06210734695196152, 0.07135537266731262 ], [ 0.3659372627735138, 0.0034647893626242876, 0.17721909284591675, 0.30627602338790894, 0.004547009710222483, 0.06257623434066772, 0.19042539596557617, 0.07025175541639328, 0.014991733245551586, 0.006180380936712027, 0.03920123726129532, 0.020670020952820778 ], [ 0.4093899130821228, 0.001220814068801701, 0.012278571724891663, 0.0009716720087453723, 0.0019733402878046036, 0.040434375405311584, 0.06780417263507843, 0.03472535312175751, 0.02259124629199505, 0.012275640852749348, 0.0052290731109678745, 0.040571149438619614, 0.04005097225308418, 0.019577303901314735, 0.0594310462474823, 0.02915477380156517 ], [ 0.36593693494796753, 0.002897725673392415, 0.011227227747440338, 0.0003135943552479148, 0.04450226202607155, 0.0015759336529299617, 0.03089762106537819, 0.03312859311699867, 0.0015926295891404152, 0.011166759766638279, 0.025303814560174942, 0.03953016176819801, 0.06336181610822678, 0.06509225070476532 ], [ 0.29172080755233765, 0.007763768080621958, 0.07931451499462128, 0.07057172805070877, 0.00777393626049161, 0.0015742509858682752, 0.050311218947172165, 0.08236510306596756, 0.07586647570133209, 0.052938394248485565, 0.013950134627521038, 0.010621086694300175, 0.050959404557943344, 0.06767528504133224, 0.02225196734070778, 0.0792892649769783, 0.09321681410074234 ] ] }, { "q_id": "8239_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4411180913448334, 0.5006780624389648, 0.09246177971363068, 0.28702160716056824, 0.031372055411338806, 0.9987795948982239, 0.9989725351333618 ], [ 0.9987323880195618, 0.9979378581047058 ], [ 0.7360824942588806, 0.33623504638671875, 0.18295182287693024, 0.9948427081108093, 0.9981436729431152 ], [ 0.6702739000320435, 0.9980043768882751, 0.9974631071090698 ], [ 0.6540648341178894, 0.9978556036949158 ], [ 0.8516221642494202, 0.4153191149234772, 0.9975671768188477, 0.9975274205207825 ], [ 0.8585113286972046, 0.15254385769367218, 0.9982757568359375, 0.9982692003250122 ], [ 0.9982722997665405, 0.997963547706604 ], [ 0.7877772450447083, 0.20346230268478394, 0.9953867793083191, 0.9981309771537781 ], [ 0.6031103134155273, 0.10837938636541367, 0.9983526468276978, 0.9982540011405945 ], [ 0.9989288449287415, 0.9983687996864319 ], [ 0.9989874958992004, 0.9977530837059021 ], [ 0.9989271759986877, 0.9972543120384216 ], [ 0.8119081258773804, 0.9980365633964539, 0.9976264834403992 ], [ 0.6744503974914551, 0.9980310797691345, 0.997654914855957 ], [ 0.6607970595359802, 0.9972020387649536, 0.9976624250411987 ] ] }, { "q_id": "8023_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.38978925347328186, 0.3201634883880615, 0.04764924198389053, 0.09899838268756866, 0.053711652755737305, 0.1345977485179901, 0.259392648935318, 0.8122910261154175, 0.03037385456264019, 0.9993625283241272, 0.9999159574508667 ], [ 0.7550327181816101, 0.4205310344696045, 0.34861764311790466, 0.9986466765403748, 0.9998942613601685 ], [ 0.7550327181816101, 0.00200984557159245, 0.8905761241912842, 0.004383322782814503, 0.685383141040802, 0.0038513916078954935, 0.9982532858848572, 0.9998989105224609 ], [ 0.7927243113517761, 0.3920135796070099, 0.3761821389198303, 0.9987189769744873, 0.9998918771743774 ], [ 0.7550351619720459, 0.3581717014312744, 0.3759485185146332, 0.9987838864326477, 0.999893069267273 ], [ 0.7550342679023743, 0.0017631843220442533, 0.8905077576637268, 0.0038862114306539297, 0.6737589836120605, 0.003770472016185522, 0.998428463935852, 0.9998983144760132 ], [ 0.7927256226539612, 0.854763925075531, 0.6548654437065125, 0.9984945058822632, 0.9998877048492432 ], [ 0.755031943321228, 0.9992783665657043, 0.9998940229415894 ], [ 0.7927268147468567, 0.9993007183074951, 0.9998950958251953 ], [ 0.7550342679023743, 0.3783675730228424, 0.3238021731376648, 0.9984128475189209, 0.9998812675476074 ], [ 0.755034327507019, 0.5405771732330322, 0.5229062438011169, 0.9980210065841675, 0.9998946189880371 ], [ 0.735572874546051, 0.6562599539756775, 0.9986253976821899, 0.9998235106468201 ], [ 0.7927265167236328, 0.9993007183074951, 0.9998950958251953 ], [ 0.7415851950645447, 0.7875652313232422, 0.9978965520858765, 0.9997994303703308 ], [ 0.7482029795646667, 0.0014985499437898397, 0.8070698380470276, 0.006319519132375717, 0.6757714748382568, 0.0024301614612340927, 0.9986227750778198, 0.9999004602432251 ], [ 0.755033016204834, 0.0017631909577175975, 0.8728705644607544, 0.002837466076016426, 0.6353329420089722, 0.005815750919282436, 0.9984758496284485, 0.9999057054519653 ] ] }, { "q_id": "9027_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 13 ], "rewards": [ [ 0.2141440361738205, 0.015737922862172127, 0.06417863070964813, 0.0033632335253059864, 0.006008361466228962, 0.007286873646080494, 0.0034662194084376097, 0.03309253603219986, 0.0005140696302987635, 0.03166280314326286, 0.005950985010713339, 0.014163035899400711, 0.02768145315349102, 0.012406106106936932, 0.02262783981859684, 0.003647208446636796 ], [ 0.3245748281478882, 0.02869926020503044, 0.007936728186905384, 0.004066899418830872, 0.024045851081609726, 0.024945518001914024, 0.06671945005655289, 0.0047819712199270725, 0.1394893229007721, 0.0034371186047792435, 0.02533985860645771, 0.024048393592238426, 0.0031300459522753954 ], [ 0.03725377470254898, 0.04498395323753357, 0.040971964597702026, 0.01850583218038082, 0.030873073264956474, 0.04881739988923073, 0.02352207712829113, 0.014261904172599316 ], [ 0.2014700174331665, 0.061713069677352905, 0.02672090195119381, 0.04237698018550873, 0.003103717463091016 ], [ 0.06233103945851326, 0.02165035344660282, 0.06436897069215775, 0.0316971018910408, 0.024060752242803574, 0.03662803769111633, 0.014333702623844147, 0.00343146244995296 ], [ 0.398875892162323, 0.08851270377635956, 0.035388391464948654, 0.12747155129909515, 0.05536883324384689, 0.09923098236322403, 0.05369286611676216, 0.02044714242219925, 0.05702212452888489, 0.006453052628785372 ], [ 0.09073308855295181, 0.001297315931878984, 0.03759526088833809, 0.018194779753684998, 0.009108979254961014, 0.013404933735728264, 0.016129035502672195, 0.0502142496407032, 0.07052657753229141, 0.006335390266031027, 0.0018421461572870612, 0.03830835595726967, 0.030135393142700195, 0.021318409591913223, 0.010322528891265392, 0.022122425958514214, 0.01511347759515047 ], [ 0.21414420008659363, 0.0015797866508364677, 0.01958349347114563, 0.020703695714473724, 0.012241465970873833, 0.001224852167069912, 0.0070517053827643394, 0.001979482127353549, 0.01414056308567524, 0.05429805815219879, 0.017962388694286346, 0.018629638478159904, 0.021571338176727295, 0.001255181385204196 ], [ 0.2742656469345093, 0.016062559559941292, 0.029150519520044327, 0.0024998008739203215, 0.0090830372646451, 0.024543343111872673, 0.021387802436947823, 0.047048408538103104, 0.04406910389661789, 0.0031909144017845392, 0.05503389984369278, 0.02110680192708969, 0.015394031070172787, 0.010139280930161476, 0.012174769304692745, 0.0034662503749132156 ], [ 0.2978849709033966, 0.041532713919878006, 0.008816028945147991, 0.04243863746523857, 0.009440426714718342, 0.050382714718580246, 0.00468564173206687 ], [ 0.6100323796272278, 0.069613017141819, 0.04560794308781624, 0.0018004195298999548, 0.05915789306163788, 0.001912332489155233, 0.011076667346060276, 0.003221580758690834 ] ] }, { "q_id": "8225_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7364302277565002, 0.020552588626742363, 0.21437998116016388, 0.9853783845901489, 0.9959486722946167 ], [ 0.7276685237884521, 0.08245780318975449, 0.1867552250623703, 0.22137831151485443, 0.9897614121437073, 0.9979142546653748 ], [ 0.6153067350387573, 0.013332786038517952, 0.13738219439983368, 0.11149405688047409, 0.07931346446275711, 0.9680907726287842, 0.00375894783064723, 0.8645970225334167, 0.9987872242927551, 0.9988774657249451 ], [ 0.4928605854511261, 0.2556326985359192, 0.015450876206159592, 0.956694483757019, 0.987962543964386 ], [ 0.7117324471473694, 0.30554187297821045, 0.012883277609944344, 0.24196887016296387, 0.968020498752594, 0.9933879375457764 ], [ 0.5998024344444275, 0.02173789031803608, 0.23281873762607574, 0.0907832533121109, 0.047700706869363785, 0.9649336338043213, 0.9977099895477295, 0.9980463981628418 ], [ 0.6087149977684021, 0.3019862771034241, 0.9946863651275635, 0.9972496628761292 ], [ 0.4633985757827759, 0.025103997439146042, 0.13242971897125244, 0.1945672631263733, 0.98841792345047, 0.9976690411567688, 0.9974053502082825 ], [ 0.5428537130355835, 0.05890710651874542, 0.2871975898742676, 0.14312097430229187, 0.14852246642112732, 0.5350428819656372, 0.14597736299037933, 0.117026686668396, 0.9843968749046326, 0.9985926747322083 ], [ 0.5109177231788635, 0.3759739398956299, 0.009874054230749607, 0.050101909786462784, 0.22448848187923431, 0.09945843368768692, 0.016050580888986588, 0.0011028615990653634 ], [ 0.5642578601837158, 0.04002411663532257, 0.19902172684669495, 0.10598459839820862, 0.24228861927986145, 0.17327317595481873, 0.9944842457771301, 0.9987730383872986 ], [ 0.6879653930664062, 0.31218382716178894, 0.07162419706583023, 0.26773694157600403, 0.15962956845760345, 0.9355342388153076, 0.9930054545402527 ], [ 0.48432254791259766, 0.24524782598018646, 0.04865116626024246, 0.13612936437129974, 0.12050075829029083, 0.11561449617147446, 0.9822145104408264, 0.9972469806671143 ], [ 0.3461427390575409, 0.007682879455387592, 0.0027245045639574528, 0.038666728883981705, 0.03670133277773857, 0.024707799777388573, 0.0001005696612992324, 0.02852133847773075, 0.7280974388122559, 0.8332777619361877, 0.9919542670249939 ], [ 0.13476845622062683, 0.1984366923570633, 0.9965914487838745, 0.9982708692550659 ], [ 0.7117317318916321, 0.25695160031318665, 0.1988193839788437, 0.29047155380249023, 0.9968407154083252, 0.9986823201179504 ] ] }, { "q_id": "8729_mmlu_math", "cot_ids": [ 0, 1, 3, 5, 9, 10, 11, 12, 14 ], "rewards": [ [ 0.7658171653747559, 0.06095585599541664, 0.11228810995817184, 0.0004629126051440835, 0.1466774195432663, 0.03610280528664589, 0.11048108339309692, 0.04804028943181038, 0.12542365491390228, 0.08186943829059601, 0.46690213680267334, 0.0024441981222480536 ], [ 0.7477406859397888, 0.04994697868824005, 0.34036603569984436, 0.10758324712514877, 0.03321816772222519, 0.08342675864696503, 0.10529432445764542, 0.06289668381214142, 0.07130206376314163, 0.0029716501012444496, 0.0066385273821651936 ], [ 0.722905695438385, 0.06017455458641052, 0.06902983784675598, 0.06346452981233597, 0.1337198168039322, 0.29243022203445435, 0.024790436029434204 ], [ 0.7501754760742188, 0.05046241730451584, 0.16093745827674866, 0.06688255071640015, 0.0011440688977017999, 0.1001049354672432, 0.008056700229644775, 0.008190585300326347, 0.2413771003484726, 0.13242484629154205, 0.046686168760061264, 0.13072700798511505, 0.0742231085896492, 0.13684691488742828, 0.11156746745109558 ], [ 0.5932396650314331, 0.0556817427277565, 0.29072505235671997, 0.0032552690245211124, 0.08520884811878204, 0.22815833985805511, 0.02640845999121666, 0.04388882964849472 ], [ 0.1602296382188797, 0.054857924580574036, 0.01334391813725233, 0.22689157724380493, 0.38177043199539185, 0.02642734721302986 ], [ 0.6629577875137329, 0.022423874586820602, 0.06504552066326141, 0.12873855233192444, 0.02873864769935608, 0.15052944421768188, 0.047220341861248016, 0.4142318665981293, 0.4739868938922882, 0.30108052492141724 ], [ 0.7457969188690186, 0.05160825327038765, 0.07486943155527115, 0.09737446904182434, 0.0030736494809389114, 0.005054352805018425, 0.015503364615142345, 0.09996901452541351, 0.07001089304685593, 0.02235536091029644, 0.0649523213505745, 0.11991740018129349, 0.23451150953769684, 0.17015603184700012 ], [ 0.7499324679374695, 0.07473264634609222, 0.3210519254207611, 0.026736631989479065, 0.1628391593694687, 0.04004935547709465, 0.48231053352355957, 0.009459169581532478, 0.18076589703559875, 0.9653380513191223, 0.9909247159957886 ] ] }, { "q_id": "7740_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3955039381980896, 0.3849620521068573, 0.0001881625212263316, 0.980767011642456, 0.9988628625869751, 0.9996386766433716 ], [ 0.39708852767944336, 0.8936058878898621, 0.99411940574646, 0.9985777139663696 ], [ 0.6439118385314941, 0.9835109710693359, 0.9981022477149963 ], [ 0.09353300929069519, 0.8704515099525452, 0.8824540376663208, 0.5053985118865967, 0.9981525540351868, 0.9998216032981873 ], [ 0.5711862444877625, 0.9984095692634583, 0.9997153878211975 ], [ 0.5615008473396301, 0.9948118925094604, 0.9995108842849731 ], [ 0.07493415474891663, 0.4869628846645355, 0.5271928906440735, 0.997855007648468, 0.9997710585594177 ], [ 0.3955041766166687, 0.9971838593482971, 0.9998167157173157 ], [ 0.2872762680053711, 0.14184965193271637, 0.9935824275016785, 0.9997361302375793 ], [ 0.2872743308544159, 0.6150183081626892, 0.9832819104194641, 0.9995679259300232 ], [ 0.2872757017612457, 0.5740765333175659, 0.5277177691459656, 0.05168483406305313, 0.021067388355731964 ], [ 0.48628291487693787, 0.052481748163700104, 0.014377341605722904 ], [ 0.28727784752845764, 0.6150217056274414, 0.00014105071022640914, 0.5556885600090027, 0.9939647316932678, 0.9992735981941223 ], [ 0.2872774600982666, 0.521561324596405, 0.9838473200798035, 0.9990708827972412, 0.999671459197998 ], [ 0.28727805614471436, 0.574074387550354, 0.9798668622970581, 0.9994828701019287 ], [ 0.39550647139549255, 0.39887282252311707, 0.00012494325346779078, 0.9801905751228333, 0.9994742274284363 ] ] }, { "q_id": "9026_mmlu_math", "cot_ids": [ 0, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15 ], "rewards": [ [ 0.040394872426986694, 0.055742066353559494, 0.047523338347673416, 0.7597101926803589, 0.03508785739541054, 0.6386183500289917 ], [ 0.5063554048538208, 0.007794688455760479, 0.18547308444976807, 0.001168221002444625, 0.026804784312844276, 0.007501210551708937, 0.027911389246582985, 0.08743896335363388, 0.006575023289769888, 0.00300282659009099, 0.0014662056928500533 ], [ 0.5063596963882446, 0.01159891951829195, 8.439128578174859e-05, 0.017956914380192757, 0.006083720829337835, 0.014590241014957428, 0.02595791034400463, 0.004869145341217518, 0.0003543398925103247, 0.00017787942488212138, 0.04825728014111519, 0.005039641633629799 ], [ 0.5063542127609253, 0.007794633042067289, 0.0385717935860157, 0.02236940711736679, 0.00015009622438810766, 0.05779504030942917, 0.008864644914865494, 0.014004325494170189, 0.035151317715644836, 0.019988998770713806, 0.00021824082068633288, 0.046927619725465775, 0.0003735627979040146, 0.09116014838218689, 0.06972901523113251 ], [ 0.5063568353652954, 0.007794703356921673, 0.13087809085845947, 0.030259793624281883, 0.05637567490339279, 0.006467655301094055, 0.000991252833046019, 0.007039512507617474, 0.048394933342933655, 0.0010306808399036527, 0.0021087322384119034, 0.03652462735772133, 0.020552368834614754, 0.04618362709879875, 0.05150586739182472, 0.018231870606541634, 0.008835826069116592, 0.00433551799505949 ], [ 0.506356954574585, 0.011599044315516949, 0.030585171654820442, 0.0007668216130696237, 0.04569839686155319, 0.0009158249013125896, 0.31674376130104065, 0.018696270883083344, 0.007545569445937872, 0.0603603832423687, 0.11053953319787979 ], [ 0.5063555240631104, 0.007794708013534546, 0.09257086366415024, 0.004322241060435772, 0.00033102603629231453, 0.01849539764225483, 0.0009896622505038977, 0.017757229506969452, 0.013277972117066383, 0.022789210081100464, 0.03609107434749603, 0.05506760627031326, 0.01608235388994217, 0.07832083106040955 ], [ 0.746177077293396, 0.07633277773857117, 0.0434936098754406, 0.029319098219275475, 0.8528419733047485 ], [ 0.5063560605049133, 0.007794633042067289, 0.050290852785110474, 0.008522368036210537, 0.0010239611146971583, 0.0036225700750947, 0.00033309709397144616, 0.02068180963397026, 0.017364734783768654, 0.04553912207484245, 0.14011777937412262 ], [ 0.5063542127609253, 0.00779462605714798, 0.00019461523334030062, 0.053003642708063126, 0.010101167485117912, 0.07547295093536377, 0.009308175183832645, 0.01286469865590334, 0.00489412946626544, 0.16453520953655243, 0.0013371264794841409, 0.03724236786365509, 0.06875894218683243, 0.5089280605316162, 0.8397935032844543, 0.0032829768024384975 ], [ 0.42486435174942017, 0.10098347067832947, 0.06560227274894714, 0.13622258603572845 ], [ 0.5063575506210327, 0.011598849669098854, 0.000128841886180453, 0.174991637468338, 0.018592987209558487, 0.000301087653497234, 0.07486199587583542, 0.0006042119348421693, 0.10634102672338486, 0.004084486979991198, 0.11882780492305756, 0.0040508233942091465, 0.03513395041227341, 0.009569508954882622, 0.028307372704148293, 0.1636093556880951 ] ] }, { "q_id": "9041_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9991484880447388, 0.9998592138290405 ], [ 0.9887497425079346, 0.9290533065795898, 0.9997327923774719, 0.9999186992645264 ], [ 0.9991484880447388, 0.9998592138290405 ], [ 0.9994377493858337, 0.9998753070831299 ], [ 0.9991241097450256, 0.9998315572738647 ], [ 0.9991589784622192, 0.9998527765274048 ], [ 0.8985456228256226, 0.9987117052078247, 0.9998749494552612 ], [ 0.9968506693840027, 0.9997566342353821 ], [ 0.9968506693840027, 0.9997566342353821 ], [ 0.9977585077285767, 0.9997711777687073 ], [ 0.8985233902931213, 0.8302810788154602, 0.9994730353355408, 0.9999219179153442 ], [ 0.9968156218528748, 0.9997569918632507 ], [ 0.99864262342453, 0.9998514652252197 ], [ 0.9991484880447388, 0.9998592138290405 ], [ 0.9991200566291809, 0.999855637550354 ], [ 0.9954578876495361, 0.9998200535774231 ] ] }, { "q_id": "8264_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9833242893218994, 0.8164752721786499, 0.9668971300125122 ], [ 0.9827322959899902, 0.9704048037528992, 0.9845184087753296 ], [ 0.987658679485321, 0.9672043919563293, 0.9910874962806702 ], [ 0.941748321056366, 0.9947958588600159, 0.9954696893692017 ], [ 0.9714405536651611, 0.9929901361465454, 0.9872633814811707 ], [ 0.9596524238586426, 0.9921749234199524, 0.9946873188018799 ], [ 0.9678295254707336, 0.04547416791319847, 0.034881144762039185, 0.020499225705862045 ], [ 0.9943943023681641, 0.9943991303443909 ], [ 0.9492672085762024, 0.16077710688114166, 0.7535238265991211 ], [ 0.9652828574180603, 0.9848089814186096, 0.992920458316803 ], [ 0.9824596643447876, 0.9858919978141785, 0.9923062920570374 ], [ 0.9204370975494385, 0.9854145050048828, 0.9940802454948425 ], [ 0.9827609658241272, 0.998462438583374, 0.9991703033447266 ], [ 0.9833242893218994, 0.810684859752655, 0.9785940647125244 ], [ 0.9827325344085693, 0.8978631496429443, 0.95257169008255 ], [ 0.9726109504699707, 0.9870679974555969, 0.9910810589790344 ] ] }, { "q_id": "8359_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8430659174919128, 0.49190810322761536, 0.9994131326675415, 0.9999192953109741 ], [ 0.7577202916145325, 0.49163299798965454, 0.9992163181304932, 0.9999083280563354 ], [ 0.9160405993461609, 0.4352288842201233, 0.999411940574646, 0.9999277591705322 ], [ 0.9809786081314087, 0.6589676141738892, 0.7759780287742615, 0.9994760155677795, 0.9999271631240845 ], [ 0.8883944749832153, 0.5967622995376587, 0.7859233021736145, 0.9994645714759827, 0.9999160766601562 ], [ 0.6419615745544434, 0.5263023376464844, 0.9993191957473755, 0.9999122619628906 ], [ 0.9334720969200134, 0.685286283493042, 0.5506219863891602, 0.7531920075416565, 0.9994471669197083, 0.9999313354492188 ], [ 0.9786484837532043, 0.6177552342414856, 0.7999078631401062, 0.9995005130767822, 0.9999206066131592 ], [ 0.9249519109725952, 0.6671262979507446, 0.9995686411857605, 0.9999179840087891 ], [ 0.830848753452301, 0.5842584371566772, 0.7446695566177368, 0.9994174242019653, 0.9999130964279175 ], [ 0.9786481857299805, 0.6887962222099304, 0.8929045796394348, 0.9995037317276001, 0.9999213218688965 ], [ 0.9329092502593994, 0.5643648505210876, 0.9995044469833374, 0.9999169111251831 ], [ 0.9778763651847839, 0.6253949999809265, 0.9992856383323669, 0.9999126195907593 ], [ 0.9749382734298706, 0.6078289151191711, 0.7721394300460815, 0.999482274055481, 0.9999266862869263 ], [ 0.9329095482826233, 0.6433340907096863, 0.5312533378601074, 0.721729040145874, 0.9994908571243286, 0.999921441078186 ], [ 0.8513081073760986, 0.5389988422393799, 0.999231219291687, 0.9999040365219116 ] ] }, { "q_id": "8482_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14 ], "rewards": [ [ 0.43562930822372437, 0.01994076371192932, 0.012107638642191887, 0.03391252085566521, 0.014547907747328281, 0.013546070083975792, 0.014179264195263386 ], [ 0.33312103152275085, 0.007341078016906977, 0.03972737118601799, 0.0012071853270754218, 0.00023271211830433458, 0.9178323745727539, 0.001197019824758172, 0.0008115697419270873, 0.26284682750701904, 0.9964572787284851, 0.9994016885757446 ], [ 0.43563058972358704, 0.020860906690359116, 0.011583995074033737, 0.028011908754706383, 0.007493872195482254, 0.0224474985152483, 0.0020040387753397226 ], [ 0.33311912417411804, 0.022881461307406425, 0.015622897073626518, 0.05126418173313141, 0.02396075241267681, 0.028394905850291252 ], [ 0.33312103152275085, 0.025867978110909462, 0.0733548179268837, 0.881368100643158, 0.03670477122068405, 0.9961493015289307, 0.9990070462226868 ], [ 0.3331197500228882, 0.015585160814225674, 0.020310338586568832, 0.01294215302914381, 0.018676387146115303 ], [ 0.333121657371521, 0.004043789114803076, 0.039836857467889786, 0.0015846187015995383, 0.0008031662437133491, 0.8977006077766418, 0.0009381554555147886, 0.00034062995109707117, 0.2989264726638794, 0.9952091574668884, 0.9991531372070312 ], [ 0.43563151359558105, 0.002435839269310236, 0.18582308292388916, 0.0011681842152029276, 0.0036097941920161247, 0.022177619859576225, 0.0004562436952255666, 0.028470264747738838, 0.026911528781056404 ], [ 0.33312249183654785, 0.0311433095484972, 0.00021937090787105262, 0.03929571062326431, 0.03086593933403492, 0.050275642424821854, 0.001564863952808082 ], [ 0.4356299936771393, 0.0046698832884430885, 0.025006774812936783, 0.12831507623195648, 0.0036647843662649393, 0.0006879672291688621, 0.076928049325943, 0.0029940372332930565, 0.08937446773052216, 0.21052370965480804, 0.04602630063891411, 0.019549408927559853, 0.02902342565357685, 0.0012749661691486835 ], [ 0.4356311559677124, 0.027926918119192123, 0.0014747880632057786, 0.22436051070690155, 0.05679619312286377, 0.010922497138381004 ], [ 0.33311721682548523, 0.01553162932395935, 0.036831699311733246, 0.0014059172244742513, 0.00818667933344841, 0.06186815723776817, 0.0029575652442872524, 0.02718931809067726, 0.035145074129104614, 0.03499416634440422 ] ] }, { "q_id": "8717_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.20358657836914062, 0.033802226185798645, 0.32090020179748535, 0.33910974860191345 ], [ 0.03379140794277191, 0.001084430841729045, 0.04434874281287193, 0.002145973965525627, 0.9619707465171814, 0.9753729104995728 ], [ 0.20599648356437683, 0.010247954167425632, 0.0016224681166931987, 0.014704401604831219, 0.9055247902870178, 0.8955836892127991 ], [ 0.02338515967130661, 0.05439944192767143, 0.9840512871742249, 0.9910387396812439 ], [ 0.20599648356437683, 0.016576269641518593, 0.009455331601202488, 0.0004895504098385572, 0.051111869513988495, 0.9738886952400208, 0.7962325811386108 ], [ 0.20358334481716156, 0.029870327562093735, 0.04981830343604088, 0.7888615131378174, 0.9883162379264832 ], [ 0.20599770545959473, 0.007017833646386862, 0.005897869821637869, 0.00020148235489614308, 0.0029600607231259346, 0.09297891706228256, 0.06361732631921768 ], [ 0.20599733293056488, 0.0070220548659563065, 0.0007389160455204546, 0.0003597608010750264, 0.017742181196808815, 0.008905477821826935 ], [ 0.20358581840991974, 0.005020454991608858, 0.005972381215542555, 0.00862214807420969, 0.018099280074238777, 0.014300568960607052 ], [ 0.12199211120605469, 0.003599087707698345, 0.005419186316430569, 0.032828476279973984, 9.649930143496022e-05, 0.008121312595903873, 0.008995098061859608, 0.04666738957166672, 0.7358506917953491 ], [ 0.18289467692375183, 0.004271889571100473, 8.870033343555406e-05, 0.0265934057533741, 0.003765131114050746, 0.029637154191732407, 0.011012236587703228, 0.007093966007232666 ], [ 0.2059967815876007, 0.09945500642061234, 0.00040455168345943093, 0.010435446165502071, 0.02527065947651863, 0.004946955479681492 ], [ 0.18289537727832794, 0.004921735264360905, 0.00652192160487175, 0.013796648941934109, 0.005852661561220884, 0.012608453631401062, 0.02022159844636917, 0.008588294498622417 ], [ 0.095391184091568, 0.5799081325531006, 0.004346581641584635, 0.3759176433086395, 0.9361749887466431 ], [ 0.18289560079574585, 0.41304752230644226, 0.057342614978551865 ], [ 0.20599795877933502, 0.03847303241491318, 0.0020370762795209885, 0.9309353232383728, 0.9389062523841858 ] ] }, { "q_id": "8958_mmlu_math", "cot_ids": [ 4, 10, 12, 15 ], "rewards": [ [ 0.489823579788208, 0.0007957553025335073, 0.27544936537742615, 0.009850874543190002, 0.016245970502495766, 0.0026554528158158064, 0.9914575219154358, 0.9995571970939636 ], [ 0.12369970977306366, 0.024077845737338066, 0.0035452365409582853, 0.013550544157624245, 0.034639161080121994, 0.04298804700374603, 0.03545341268181801, 0.009970562532544136, 0.025099528953433037, 0.0033376796636730433, 0.030497374013066292, 0.004163091536611319, 0.013529973104596138, 0.028951644897460938, 0.008534826338291168, 0.009332275949418545, 0.040264636278152466, 0.045443400740623474, 0.019752847030758858, 0.03958987817168236, 0.012289929203689098, 0.0015685561811551452, 0.0005423195543698967 ], [ 0.04153880849480629, 0.03469981998205185, 0.035809487104415894, 0.06383605301380157, 0.004305857699364424, 0.000837696366943419 ], [ 0.06039181724190712, 0.025663848966360092, 0.020785799250006676, 0.027305008843541145, 0.03745598718523979, 0.01884237304329872, 0.07878582179546356, 0.0015315193450078368, 0.0006673348252661526 ] ] }, { "q_id": "8533_mmlu_math", "cot_ids": [ 5, 6, 7, 9, 11, 13, 15 ], "rewards": [ [ 0.5422390699386597, 0.1424345225095749, 0.01879909634590149, 0.22831961512565613, 0.26693984866142273, 0.05661136284470558, 0.4225784242153168, 0.011816238984465599, 0.000468563666800037, 0.33963292837142944, 0.09432239085435867, 0.038618963211774826, 0.06706154346466064, 0.10786943137645721, 0.01017321553081274, 0.004527187440544367 ], [ 0.282297819852829, 0.012195097282528877, 0.334902286529541, 0.03938833996653557, 0.4300713837146759, 0.012905679643154144, 0.013270690105855465, 0.1232457309961319, 0.026797618716955185, 0.16942158341407776, 0.07335264980792999, 0.2402001917362213, 0.0725330337882042, 0.1502416431903839, 0.05943528562784195, 0.08211281150579453, 0.0014693309785798192 ], [ 0.35886964201927185, 0.15903404355049133, 0.034025244414806366, 0.08093219995498657, 0.10225776582956314, 0.31385940313339233, 0.005540687125176191, 0.2257595807313919, 0.09677833318710327, 0.008320030756294727, 0.058108340948820114, 0.00251969788223505, 0.14622727036476135, 0.01801593042910099, 0.06470907479524612, 0.04151810333132744, 0.15614046156406403, 0.007741326466202736, 0.010715475305914879, 0.0044746375642716885 ], [ 0.6587251424789429, 0.18008632957935333, 0.0222979374229908, 0.11465895920991898, 0.17161723971366882, 0.22655710577964783, 0.1200304701924324, 0.06887799501419067, 0.21508069336414337, 0.06601253896951675, 0.07301007956266403, 0.12749898433685303, 0.09307120740413666, 0.06693506985902786, 0.12461694329977036, 0.083675816655159, 0.021918926388025284 ], [ 0.39731550216674805, 0.05133814737200737, 0.08776016533374786, 0.21292811632156372, 0.001269113039597869, 0.00832832045853138, 0.07368787378072739, 0.0013204952701926231, 0.0031365142203867435, 0.1176544800400734, 0.13308429718017578, 0.14175309240818024, 0.06687723100185394, 0.08865572512149811, 0.04120189696550369, 0.06031150743365288, 0.03928372263908386, 0.0035887500271201134, 0.006239461712539196, 0.004070891533046961 ], [ 0.522966206073761, 0.09166764467954636, 0.03043295070528984, 0.08308836817741394, 0.00165872136130929 ], [ 0.008479984477162361, 0.005649264436215162 ] ] }, { "q_id": "8258_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9697142243385315, 0.6578510999679565 ], [ 0.9644268751144409, 0.733553946018219 ], [ 0.01675030216574669, 0.008751177228987217, 0.6023758053779602, 0.5138970613479614 ], [ 0.9853962063789368, 0.669447660446167 ], [ 0.4522857367992401, 0.028713209554553032, 0.015775451436638832, 0.0014908108860254288 ], [ 0.018956884741783142, 0.0011663901386782527, 0.0016311884392052889 ], [ 0.016750097274780273, 0.8317772150039673, 0.545378565788269 ], [ 0.07613100856542587, 0.8779532313346863, 0.5755921602249146 ], [ 0.967836320400238, 0.6712936162948608 ], [ 0.9878749251365662, 0.9179375171661377, 0.6767639517784119 ], [ 0.9609968662261963, 0.773143470287323 ], [ 0.9644272923469543, 0.7335588932037354 ], [ 0.9596333503723145, 0.6540008187294006 ], [ 0.9658438563346863, 0.04814780503511429, 0.20464745163917542 ], [ 0.9818124175071716, 0.018575923517346382, 0.0566478930413723 ], [ 0.9644268751144409, 0.7335619926452637 ] ] }, { "q_id": "8216_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.021619165316224098, 0.6353013515472412, 0.4637618064880371, 0.038945578038692474, 0.05460038036108017, 0.03331416845321655 ], [ 0.03389321640133858, 0.0044463020749390125, 0.04502875730395317, 0.0389392226934433 ], [ 0.005880276672542095, 0.709187924861908, 0.6476630568504333, 0.0588684007525444, 0.08259731531143188, 0.034480273723602295 ], [ 0.21714024245738983, 0.5080289840698242, 0.5706304907798767, 0.06560199707746506, 0.16719204187393188, 0.04512705281376839 ], [ 0.20816391706466675, 0.08653873205184937, 0.03416750952601433 ], [ 0.005880259908735752, 0.7339642643928528, 0.7794329524040222, 0.24068865180015564, 0.25335851311683655, 0.03022979199886322 ], [ 0.25662681460380554, 0.4622578024864197, 0.7135653495788574, 0.030170563608407974, 0.06011608988046646, 0.032800283282995224 ], [ 0.3073180317878723, 0.49988460540771484, 0.47558391094207764, 0.020305046811699867, 0.02710314467549324, 0.040886908769607544 ], [ 0.0024893993977457285, 0.0003907005302608013, 0.09000883996486664, 0.004130067769438028, 0.06708312034606934, 0.003487908048555255, 0.8705865144729614, 0.08200110495090485 ], [ 0.18177299201488495, 0.002825481118634343, 0.6715168356895447, 0.42114633321762085, 0.015484156087040901, 0.06573573499917984, 0.03731679543852806, 0.03877129778265953 ], [ 0.10313685238361359, 0.04149072989821434, 0.004160744138062, 0.5170777440071106, 0.4105684161186218, 0.01612834632396698, 0.05538684502243996, 0.03023131750524044 ], [ 0.19875772297382355, 0.0016699559055268764, 0.545125424861908, 0.5523937344551086, 0.02676398865878582, 0.058241140097379684, 0.032384175807237625 ], [ 0.03056464157998562, 0.20425687730312347, 0.15774883329868317, 0.16798043251037598, 0.0700305700302124, 0.02836073748767376 ], [ 0.2323952168226242, 0.31719881296157837, 0.4569575786590576, 0.01719893328845501, 0.05250200629234314, 0.04517277702689171 ], [ 0.0024894054513424635, 0.0075980303809046745, 0.0025912998244166374, 0.3683606684207916, 0.43143612146377563, 0.026966141536831856, 0.09529847651720047, 0.05145961791276932 ], [ 0.25056037306785583, 0.0024943966418504715, 0.7480547428131104, 0.7591157555580139, 0.0066140457056462765, 0.03499634563922882, 0.04364778473973274 ] ] }, { "q_id": "8143_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6448079943656921, 0.9990278482437134, 0.000720167183317244 ], [ 0.8185557126998901, 0.9994199275970459, 0.0007450776174664497 ], [ 0.6814144253730774, 0.9990739822387695, 0.0008430881425738335 ], [ 0.6256284713745117, 0.9990363121032715, 0.0008004737319424748 ], [ 0.6256310939788818, 0.9993390440940857, 0.0007733978563919663 ], [ 0.7227275371551514, 0.9992252588272095, 0.0007952588493935764 ], [ 0.923824667930603, 0.8006611466407776, 0.3107011318206787, 0.999228835105896, 0.0008541213464923203 ], [ 0.7388039827346802, 0.437410444021225, 0.20954376459121704, 0.998786985874176, 0.0008569795172661543 ], [ 0.871584951877594, 0.9993706345558167, 0.0008405011612921953 ], [ 0.9721349477767944, 0.9980290532112122, 0.0008710987749509513 ], [ 0.8802592158317566, 0.5163882970809937, 0.20314256846904755, 0.9995079040527344, 0.0007277964614331722 ], [ 0.8281695246696472, 0.9962069988250732, 0.00099124142434448 ], [ 0.70378577709198, 0.9992448091506958, 0.0008749485714361072 ], [ 0.8315890431404114, 0.9980049729347229, 0.0008694709977135062 ], [ 0.828167736530304, 0.9957744479179382, 0.0009729470475576818 ], [ 0.8281662464141846, 0.9962071180343628, 0.0009912485256791115 ] ] }, { "q_id": "8038_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.13445624709129333, 0.9957971572875977, 0.9998118281364441 ], [ 0.999344527721405, 0.9998072981834412 ], [ 0.14576385915279388, 0.0036658120807260275, 0.03252735361456871, 0.0391586609184742, 0.009666847065091133, 0.012170916423201561, 0.023242942988872528, 0.05624108016490936, 0.0026887382846325636, 0.0020728774834424257, 0.04324304312467575, 0.01951451599597931, 0.007249068934470415, 0.9872274398803711, 0.9997698664665222 ], [ 0.23215873539447784, 0.0028034159913659096, 0.010586869902908802, 0.021648816764354706, 0.05940844118595123, 0.017462600022554398, 0.9856276512145996, 0.011861808598041534, 0.5390052795410156, 0.9647253155708313, 0.00043909598025493324 ], [ 0.22230830788612366, 0.005552883725613356, 0.03102933242917061, 0.024344751611351967, 0.012042563408613205, 0.01963261514902115, 0.02254420705139637, 0.04614043980836868, 0.020589815452694893, 0.03411341458559036, 0.003983319737017155, 0.9796174168586731, 0.9995433688163757 ], [ 0.08542578667402267, 0.1912171095609665, 0.9965242743492126, 0.9997691512107849 ], [ 0.07474301010370255, 0.11820326745510101, 0.9963628649711609, 0.9997867941856384 ], [ 0.03691898658871651, 0.07518512010574341, 0.002345471875742078, 0.03414178267121315, 0.017731763422489166, 0.9924218058586121, 0.999430239200592 ], [ 0.03228025138378143, 0.06728818267583847, 0.06489844620227814, 0.012203384190797806, 0.14177119731903076, 0.015993628650903702, 0.047475140541791916, 0.06086777523159981, 0.7560863494873047, 0.00784153863787651, 0.024328412488102913, 0.02431299351155758, 0.9993450045585632 ], [ 0.2223137617111206, 0.01229991763830185, 0.01264865230768919, 0.9947227239608765, 0.012524287216365337, 0.019807737320661545, 0.0614965483546257, 0.14955765008926392, 0.6295626759529114, 0.9596672654151917, 0.0003866628685500473 ], [ 0.1071779802441597, 0.08751752227544785, 0.004876983817666769, 4.558288856060244e-05, 0.0012416212121024728, 0.0001827037485782057, 0.0006393799558281898, 0.00035861815558746457, 0.0008897242951206863 ], [ 0.26881852746009827, 0.21378210186958313, 0.0016055661253631115, 0.0031734444200992584, 0.006200945004820824, 0.01264243759214878, 0.8864704966545105, 0.9309445023536682, 0.0007365604978986084 ], [ 0.9993730187416077, 0.000519836787134409 ], [ 0.3883056044578552, 0.16610097885131836, 0.0013379163574427366, 0.8467870950698853, 0.6587598919868469, 0.9996206760406494 ], [ 0.9994352459907532, 0.9998416900634766 ], [ 0.08945665508508682, 0.9990645051002502, 0.0003742453991435468 ] ] }, { "q_id": "8652_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6100054979324341, 0.13186056911945343, 0.01339416578412056, 0.0003383303410373628, 0.022190116345882416, 0.0004593617923092097 ], [ 0.6100109219551086, 0.011987552046775818, 0.0013598151272162795, 0.016365617513656616, 0.0031007418874651194, 0.0011470087338238955 ], [ 0.6100125312805176, 0.008199119940400124, 0.002131543355062604, 0.13375265896320343, 0.999847412109375 ], [ 0.07921470701694489, 0.016143962740898132, 0.9996552467346191 ], [ 0.6100004315376282, 0.003932759165763855, 0.0012692689197137952, 0.0005426835850812495 ], [ 0.14176394045352936, 0.003882576944306493, 0.041872747242450714, 0.0005552240181714296 ], [ 0.85496985912323, 0.0009279383230023086, 0.056328482925891876, 0.1269519180059433, 0.9998635053634644 ], [ 0.6100125312805176, 0.02173982746899128, 0.001971658319234848, 0.00627447385340929, 0.010322987101972103, 0.0007324042380787432 ], [ 0.610015869140625, 0.05522117763757706, 0.0015933969989418983, 0.0005082717980258167 ], [ 0.6100113987922668, 0.0033206911757588387, 0.03480805456638336, 0.005045897327363491, 0.001142027322202921, 0.0005903965793550014 ], [ 0.6100078225135803, 0.02047329768538475, 0.001943142618983984, 0.005008247680962086, 0.001477366778999567, 0.0005049299215897918 ], [ 0.6099963188171387, 0.004780786577612162, 0.009726537391543388, 0.001781668048352003, 0.0004189224273432046 ], [ 0.6100102066993713, 0.020341208204627037, 0.0035462132655084133, 0.00019878489547409117, 0.20441795885562897, 0.9997976422309875 ], [ 0.005425869952887297, 0.027294635772705078, 0.7753579616546631, 0.00043922828626818955 ], [ 0.6100301742553711, 0.003308448474854231, 0.005194703117012978, 0.0008708464447408915, 0.01789352111518383, 0.00048526309547014534 ], [ 0.6100266575813293, 0.019154230132699013, 0.000620656821411103, 0.16242869198322296, 0.9978887438774109, 0.9999030828475952 ] ] }, { "q_id": "8829_mmlu_math", "cot_ids": [ 2, 14, 15 ], "rewards": [ [ 0.7583913803100586, 0.0054864040575921535, 0.1506527215242386, 0.009235874749720097, 0.06756597757339478, 0.04386800155043602, 0.19040276110172272, 0.0216812901198864, 0.10123513638973236, 0.07856902480125427, 0.05614694580435753, 0.22678321599960327, 0.014804291538894176, 0.03505958616733551, 0.0027842698618769646, 0.05084509775042534, 0.014440136030316353 ], [ 0.09290848672389984, 0.03201157972216606, 0.0539822019636631, 0.3029334247112274, 0.01891462132334709, 0.07468342781066895, 0.02311776392161846, 0.30732300877571106, 0.014399203471839428 ], [ 0.5171881914138794, 0.032491523772478104, 0.1073271855711937, 0.06160388141870499, 0.16874763369560242, 0.042344171553850174, 0.2721511721611023, 0.17110967636108398, 0.29718005657196045, 0.010263209231197834, 0.2805192470550537, 0.42695125937461853, 0.012127765454351902 ] ] }, { "q_id": "7711_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5358250141143799, 0.036956433206796646, 0.005717408377677202, 0.14710871875286102, 0.010287747718393803 ], [ 0.5195703506469727, 0.1268293708562851, 0.02080989070236683, 0.1674734205007553, 0.002834243467077613 ], [ 0.23157010972499847, 0.1792229264974594, 0.025522226467728615, 0.7195807695388794, 0.9992850422859192 ], [ 0.3906753659248352, 0.018973277881741524, 0.7231985330581665, 0.9993684887886047 ], [ 0.5376230478286743, 0.024913225322961807, 0.24585388600826263, 0.020342793315649033, 0.1438208967447281, 0.047079864889383316, 0.4312203824520111, 0.9964007139205933 ], [ 0.29999062418937683, 0.17945176362991333, 0.014913718216121197, 0.010009765625, 0.6182381510734558, 0.23782147467136383, 0.03511260449886322, 0.286420613527298, 0.1446240097284317, 0.6631470918655396, 0.9992952346801758, 0.9687339067459106 ], [ 0.49973464012145996, 0.08105593174695969, 0.0016513254959136248 ], [ 0.2148725837469101, 0.08774981647729874, 0.0016880463808774948 ], [ 0.29998981952667236, 0.220734104514122, 0.01708989031612873, 0.0063437288627028465, 0.5343521237373352, 0.1868790239095688, 0.17151109874248505, 0.5158519148826599, 0.3156132996082306, 0.7468115091323853, 0.9992141723632812 ], [ 0.4061829745769501, 0.21210019290447235, 0.01866464503109455, 0.6875186562538147, 0.9994412064552307 ], [ 0.29999303817749023, 0.22913667559623718, 0.1499175876379013, 0.04408636316657066, 0.001993687590584159 ], [ 0.23147882521152496, 0.01563846506178379, 0.012841072864830494, 0.03705142065882683, 0.01267783623188734 ], [ 0.27078819274902344, 0.2829650938510895, 0.40754812955856323, 0.009640978649258614 ], [ 0.5035106539726257, 0.027896229177713394, 0.0014491340843960643 ], [ 0.5288998484611511, 0.25470587611198425, 0.1304314285516739, 0.0017965749138966203 ], [ 0.2999938428401947, 0.22073383629322052, 0.09033669531345367, 0.001839393749833107 ] ] }, { "q_id": "7693_mmlu_math", "cot_ids": [ 0, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.0008799663046374917, 0.05876718834042549, 0.014960812404751778, 0.003353462554514408 ], [ 0.00022593102767132223, 0.021610785275697708, 0.003809225047007203, 0.007429272867739201, 0.0039369286969304085 ], [ 0.00081177509855479, 0.0125461146235466, 0.05640607327222824, 0.06688231974840164, 0.07714343816041946, 0.007926242426037788, 0.005148528143763542 ], [ 0.0009077329305000603, 0.03489844128489494, 0.009201663546264172, 0.003834750736132264 ], [ 0.001276726950891316, 0.004767963197082281, 0.017732694745063782, 0.03551175445318222, 0.10606040805578232, 0.012070849537849426, 0.005320723634213209 ], [ 0.0005649802624247968, 0.09577060490846634, 0.0007955077453516424, 0.010480878874659538, 0.0041489023715257645 ], [ 0.0016472286079078913, 0.07543623447418213, 0.011871113441884518, 0.003814671654254198 ], [ 0.0005819155485369265, 0.0042801122181117535, 0.0009703179821372032, 0.027007821947336197, 0.060952167958021164, 0.0008226539357565343, 0.0019773233216255903, 0.008608894422650337, 0.039122167974710464, 0.00875219888985157, 0.008918040432035923, 0.003642870346084237 ], [ 0.000907736481167376, 0.016499824821949005, 0.0032638886477798223, 0.04780367761850357, 0.19071932137012482, 0.013068404980003834, 0.00332921976223588 ], [ 0.0004383914638310671, 0.055991947650909424, 0.013717719353735447, 0.003926764242351055 ], [ 0.0008001343812793493, 0.05701865628361702, 0.009848712012171745, 0.00679985573515296 ], [ 0.0009077390423044562, 0.010582749731838703, 0.0035803690552711487, 0.04008748382329941, 0.10620832443237305, 0.013703006319701672, 0.0046968720853328705 ], [ 0.000811770383734256, 0.00871070846915245, 0.0017358589684590697, 0.039119135588407516, 0.07611560821533203, 0.0005541029386222363, 0.010827199555933475, 0.003697547595947981 ], [ 0.0008602868765592575, 0.23814955353736877, 0.0014552590437233448, 0.002841835143044591, 0.019706256687641144, 0.008984299376606941, 0.004768813960254192 ] ] }, { "q_id": "8160_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.12978605926036835, 0.03118162229657173, 0.0606800876557827, 0.0029100386891514063, 0.0019940254278481007 ], [ 0.13693547248840332, 0.02860034815967083, 0.0512397475540638, 0.050475168973207474, 0.0011375475442036986, 0.0037779826670885086, 0.07101000845432281, 0.9978064894676208, 0.9997674822807312 ], [ 0.13672709465026855, 0.02738793194293976, 0.062174901366233826, 0.0023661938030272722, 0.0017173134256154299 ], [ 0.1297873705625534, 0.2685742676258087, 0.9987275004386902, 0.9998692274093628 ], [ 0.216079443693161, 0.025994131341576576, 0.983758270740509, 0.9995988011360168 ], [ 0.06991573423147202, 0.5235220789909363, 0.0005224740016274154 ], [ 0.07261589169502258, 0.0281516183167696, 0.9964150190353394, 0.9998340606689453 ], [ 0.2144213318824768, 0.006274479907006025, 0.0382002554833889, 0.05575356259942055, 0.010694202035665512, 0.0017180410213768482 ], [ 0.13693617284297943, 0.029737798497080803, 0.03636251389980316, 0.06200038269162178, 0.03347980976104736, 0.0013542913366109133, 0.0034384666942059994 ], [ 0.1369365006685257, 0.002673013601452112, 0.05908603593707085, 0.04828748479485512, 0.006592962890863419, 0.0023510397877544165 ], [ 0.21607719361782074, 0.024590376764535904, 0.5108430981636047, 0.9990031123161316 ], [ 0.21607719361782074, 0.031172962859272957, 0.37935683131217957, 0.9989839196205139, 0.9998757839202881 ], [ 0.1369384080171585, 0.015444834716618061, 0.04090248793363571, 0.979369580745697, 0.9996800422668457 ], [ 0.21442817151546478, 0.05019258335232735, 0.026057768613100052, 0.013364204205572605, 0.002829328877851367, 0.0008653664262965322 ], [ 0.13693875074386597, 0.032214269042015076, 0.0448373444378376, 0.9858163595199585, 0.9997661709785461 ] ] }, { "q_id": "8105_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15 ], "rewards": [ [ 0.0009017483098432422, 0.003813713090494275, 0.006911541800945997, 0.026569392532110214, 0.050294406712055206, 0.008977479301393032, 0.021356746554374695, 0.026115920394659042, 0.014622587710618973, 0.019879760220646858, 0.003988343756645918 ], [ 0.005074766930192709, 0.033835429698228836, 0.019627917557954788, 0.16987767815589905, 0.06525168567895889, 0.7236796021461487, 0.009784315712749958, 0.042470816522836685, 0.16291503608226776, 0.007624030578881502 ], [ 0.005074754822999239, 0.02226555161178112, 0.008726460859179497, 0.34195491671562195, 0.05272473767399788, 0.668025553226471, 0.013572756201028824, 0.043262775987386703, 0.21516788005828857, 0.007832817733287811 ], [ 0.0072718048468232155, 0.0015199931804090738, 0.11635656654834747, 0.00043825837201438844, 0.12609417736530304, 0.03973187878727913, 0.005889518652111292, 0.25991716980934143, 0.06573169678449631, 0.4416939616203308 ], [ 0.21279717981815338, 0.08504419028759003, 0.026351241394877434 ], [ 0.007544138003140688, 0.0024928380735218525, 0.09411557763814926, 0.0007443665526807308, 0.11856626719236374, 0.023893864825367928, 0.37216708064079285, 0.017620818689465523, 0.03952261433005333, 0.012485713697969913, 0.039317045360803604, 0.07783724367618561, 0.0918540358543396, 0.13691788911819458 ], [ 0.007271770387887955, 0.010746907442808151, 0.027414655312895775, 0.236578568816185, 0.1080845519900322, 0.628829300403595, 0.015218878164887428, 0.0637347623705864, 0.20155633985996246, 0.011720974929630756 ], [ 0.016898173838853836, 0.3373297154903412, 0.018403803929686546, 0.5650409460067749, 0.07608771324157715, 0.5086714625358582, 0.02293032594025135, 0.060674022883176804, 0.04934723675251007, 0.1799042522907257, 0.018066665157675743 ], [ 0.007271738722920418, 0.002255671890452504, 0.07256331294775009, 0.0006023012683726847, 0.2610298693180084, 0.0012452654773369431, 0.3269282579421997, 0.10323639214038849, 0.2747093141078949 ], [ 0.007271852344274521, 0.011678152717649937, 0.0003229971043765545, 0.1338961273431778, 0.014291772618889809, 0.005597985815256834, 0.06237902119755745, 0.008700836449861526, 0.044420138001441956, 0.049110233783721924, 0.0948830395936966 ], [ 0.007544101681560278, 0.01055657397955656, 0.0005601114244200289, 0.029149075970053673, 0.40362226963043213 ], [ 0.0072718835435807705, 0.010228201746940613, 0.00044178846292197704, 0.21340526640415192, 0.8138066530227661, 0.31518033146858215 ], [ 0.00638244254514575, 0.0015392731875181198, 0.033232949674129486, 0.0006097935838624835, 0.1806081384420395, 0.02456873282790184, 0.014701305888593197, 0.014779351651668549, 0.030751336365938187, 0.03991170600056648, 0.06400590389966965, 0.052062999457120895, 0.3291833996772766 ], [ 0.007271815091371536, 0.0015028698835521936, 0.21383197605609894, 0.000617816811427474, 0.1174250915646553, 0.02644144743680954, 0.04799356311559677, 0.14772464334964752, 0.01809072494506836, 0.04234272241592407, 0.2743971347808838, 0.22293315827846527, 0.7956627011299133 ], [ 0.0038440702483057976, 0.0026525913272053003, 0.06299934536218643, 0.0200510136783123, 0.028755487874150276, 0.28306126594543457, 0.31295472383499146, 0.022731736302375793, 0.2663666009902954, 0.39019399881362915, 0.7669084668159485, 0.013545968569815159, 0.017091307789087296, 0.014979816041886806, 0.04870208352804184, 0.01449914462864399, 0.2532117962837219, 0.02362794615328312, 0.10369463264942169, 0.01119095180183649 ] ] }, { "q_id": "7922_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5095559358596802, 0.9988893866539001, 0.9993894100189209 ], [ 0.36101973056793213, 0.15760622918605804, 0.13824135065078735, 0.9972634315490723, 0.9996540546417236 ], [ 0.6148659586906433, 0.9894765615463257, 0.9991877675056458 ], [ 0.570957362651825, 0.42976611852645874, 0.998784601688385, 0.9995409250259399 ], [ 0.6819942593574524, 0.0944434404373169, 0.9982810020446777, 0.9993342757225037 ], [ 0.4763355851173401, 0.14061595499515533, 0.997724711894989, 0.9997289776802063 ], [ 0.6709915995597839, 0.1803809553384781, 0.9987892508506775, 0.9995173215866089 ], [ 0.6789184808731079, 0.1597243994474411, 0.9986538887023926, 0.9995412826538086 ], [ 0.697651207447052, 0.13323383033275604, 0.9984021782875061, 0.9996383190155029 ], [ 0.7084572315216064, 0.17293907701969147, 0.9982640147209167, 0.9994826316833496 ], [ 0.7520660758018494, 0.19887332618236542, 0.07658948749303818, 0.9989998936653137, 0.9996128678321838 ], [ 0.45264366269111633, 0.9982979893684387, 0.9996809959411621 ], [ 0.5871392488479614, 0.1375858187675476, 0.9990009665489197, 0.9996649026870728 ], [ 0.6694011092185974, 0.11610352247953415, 0.0006435117102228105 ], [ 0.6515620946884155, 0.17599621415138245, 0.9988734126091003, 0.9995537400245667 ], [ 0.5224137306213379, 0.10288266837596893, 0.0008173414971679449 ] ] }, { "q_id": "7946_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2815024256706238, 0.17019663751125336, 0.04631708934903145, 0.8548879623413086, 0.9964607357978821, 0.9979968667030334 ], [ 0.2815024256706238, 0.18127445876598358, 0.009618687443435192, 0.993550181388855, 0.995862603187561 ], [ 0.5094097256660461, 0.007890871725976467, 0.016829127445816994, 0.021229680627584457, 0.020306218415498734, 0.01156669482588768, 0.010534706525504589, 0.0031200116500258446 ], [ 0.509409487247467, 0.004718906711786985, 0.019410686567425728, 0.019919276237487793, 0.028136657550930977, 0.05103137344121933, 0.02288110926747322 ], [ 0.20578105747699738, 0.15176282823085785, 0.13549767434597015, 0.956712007522583, 0.996569037437439, 0.9983408451080322 ], [ 0.31817349791526794, 0.9949472546577454, 0.9967356324195862 ], [ 0.5500507354736328, 0.017049072310328484, 0.13760080933570862, 0.1553701013326645, 0.80025714635849, 0.9898838996887207, 0.9965395927429199 ], [ 0.5500503778457642, 0.004131828900426626, 0.014049445278942585, 0.03968864306807518, 0.012071248143911362, 0.0412726104259491, 0.01768196001648903, 0.6654822826385498, 0.9949660897254944, 0.997708797454834 ], [ 0.026484036818146706, 0.034055523574352264, 0.03125175088644028, 0.014994812197983265 ], [ 0.5094123482704163, 0.00460813706740737, 0.02236645296216011, 0.021334560588002205, 0.03225157409906387, 0.006378721445798874, 0.07824712991714478, 0.041970040649175644, 0.7760038375854492, 0.9960175156593323, 0.9982084035873413 ], [ 0.10527434200048447, 0.0655580535531044, 0.031046928837895393, 0.15024061501026154, 0.044150467962026596, 0.8160184025764465, 0.9943155646324158, 0.9967015385627747 ], [ 0.4623483717441559, 0.07116228342056274, 0.13034670054912567, 0.8745906949043274, 0.9908066391944885, 0.9954690933227539 ], [ 0.25651803612709045, 0.9836498498916626, 0.691123902797699, 0.9962343573570251, 0.9974516034126282 ], [ 0.270004004240036, 0.15391133725643158, 0.17014682292938232, 0.2539529502391815, 0.9066373109817505, 0.9967197775840759, 0.9975705742835999 ], [ 0.14034098386764526, 0.20601199567317963, 0.030615458264946938, 0.1447824090719223, 0.07846806943416595, 0.16700410842895508, 0.07725894451141357, 0.7267321348190308, 0.9950403571128845, 0.9958833456039429 ] ] }, { "q_id": "7844_mmlu_math", "cot_ids": [ 0, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15 ], "rewards": [ [ 0.2084592878818512, 0.11465364694595337, 0.1990455985069275, 0.3748016655445099, 0.07437282800674438, 0.14858850836753845, 0.1492229849100113, 0.4299828112125397, 0.5374833941459656, 0.002826435025781393 ], [ 0.21997560560703278, 0.08920842409133911, 0.18334196507930756, 0.13221734762191772, 0.1294383406639099, 0.013374106027185917, 0.42375633120536804, 0.2593088448047638, 0.11846429854631424, 0.0024991158861666918 ], [ 0.10985195636749268, 0.4731336236000061, 0.05525078997015953, 0.10554210841655731, 0.042544469237327576, 0.2131439745426178, 0.3323124349117279, 0.48731276392936707, 0.002811158075928688 ], [ 2.3203669115900993e-05, 0.11125807464122772, 5.704820796381682e-05, 0.07344520837068558, 0.06840191036462784, 0.18368971347808838, 0.21410015225410461, 0.43637290596961975, 0.4401061534881592, 0.34534379839897156 ], [ 0.34226080775260925, 0.058646898716688156, 0.142759770154953, 0.21411915123462677, 0.26088273525238037, 0.07846345752477646, 0.39689183235168457, 0.002725665457546711 ], [ 0.33357352018356323, 0.06443075090646744, 0.184992715716362, 0.3643997609615326, 0.041750598698854446, 0.19537870585918427, 0.021718725562095642, 0.208033487200737, 0.08002838492393494, 0.04238297790288925, 0.3386683166027069, 0.3207465708255768, 0.002905778819695115 ], [ 2.76581195066683e-05, 0.09801940619945526, 7.37626978661865e-05, 0.13387925922870636, 0.024492379277944565, 0.10386653989553452, 0.0015152035048231483, 0.046975795179605484, 0.048667456954717636, 0.20617957413196564, 0.17053066194057465, 0.3102756440639496, 0.0026886719278991222 ], [ 0.31143155694007874, 0.23714123666286469, 0.06896122545003891, 0.15323689579963684, 0.0440196767449379, 0.35220158100128174, 0.3487749695777893, 0.0030987290665507317 ], [ 2.7658172257361002e-05, 0.10721544921398163, 0.00035438279155641794, 0.13988706469535828, 0.1487085372209549, 0.27512508630752563, 0.05670907720923424, 0.0976775661110878, 0.033720653504133224, 0.19551876187324524, 0.21771103143692017, 0.396255224943161, 0.38591310381889343, 0.0026569499168545008 ], [ 1.1974401786574163e-05, 0.10180721431970596, 0.0002798406931106001, 0.15232090651988983, 0.0003273763577453792, 0.11511199176311493, 0.06144784763455391, 0.2299942970275879, 0.19917403161525726, 0.47059381008148193, 0.46287205815315247, 0.0026475414633750916 ], [ 0.0005279688630253077, 0.11427336931228638, 0.00031034587300382555, 0.18266227841377258, 0.2569889426231384, 0.33680102229118347, 0.05378348380327225, 0.22905516624450684, 0.32338228821754456, 0.46665632724761963, 0.0028517029713839293 ] ] }, { "q_id": "8427_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.09813396632671356, 0.1148362085223198, 0.175059512257576, 0.1302020102739334, 0.33072465658187866, 0.04247335344552994, 0.14431241154670715, 0.033006854355335236 ], [ 0.09543735533952713, 0.07676679641008377, 0.11805956065654755, 0.03134007751941681, 0.08655304461717606, 0.003458289196714759, 0.055455416440963745, 0.24564135074615479, 0.053204040974378586, 0.3281552791595459, 0.13638724386692047, 0.026101162657141685 ], [ 0.06468406319618225, 0.10506858676671982, 0.17253664135932922, 0.1377360075712204, 0.543450653553009, 0.07537177205085754, 0.436493456363678, 0.0009201154462061822 ], [ 0.17876680195331573, 0.0807454064488411, 0.13008682429790497, 0.06239394471049309, 0.09925287961959839, 0.10280914604663849, 0.2645547389984131, 0.05589360371232033, 0.12507164478302002, 0.04200057312846184 ], [ 0.04708820581436157, 0.12037381529808044, 0.15948358178138733, 0.03848916292190552, 0.42242130637168884, 0.06205150857567787, 0.2687811553478241, 0.30738702416419983, 0.0009213555022142828 ], [ 0.05194214731454849, 0.111358642578125, 0.15494617819786072, 0.039407361298799515, 0.11211872845888138, 0.00023668263747822493, 0.5489292144775391, 0.10957822948694229, 0.33721280097961426, 0.04012368619441986, 0.03143465146422386, 0.005910143721848726 ], [ 0.061897024512290955, 0.09472160041332245, 0.1417587846517563, 0.09100036323070526, 0.00014561616990249604, 0.6115555167198181, 0.09890009462833405, 0.07939770817756653, 0.10620008409023285, 0.037288013845682144 ], [ 0.08640662580728531, 0.07809886336326599, 0.1363265961408615, 0.12499406933784485, 0.00018341327086091042, 0.0444340817630291, 0.1429322510957718, 0.03248203918337822, 0.5818721055984497, 0.2314189225435257, 0.026687363162636757, 0.24497516453266144, 0.008275029249489307 ], [ 0.10155698657035828, 0.05923706293106079, 0.08744177222251892, 0.07732070237398148, 0.1574917882680893, 0.042621955275535583, 0.10778031498193741, 0.02994590997695923 ], [ 0.06146369129419327, 0.11321313679218292, 0.15857942402362823, 0.0687035545706749, 0.002401971723884344, 0.15472029149532318, 0.07619669288396835, 0.07667861133813858, 0.025221630930900574 ], [ 0.0855545923113823, 0.16953761875629425, 0.234678715467453, 0.4099067449569702, 0.2038421332836151, 0.05236703157424927, 0.0641484260559082, 0.029793692752718925 ], [ 0.06414252519607544, 0.12416898459196091, 0.18095959722995758, 0.10432568937540054, 0.11311953514814377, 0.1842370331287384, 0.09585997462272644, 0.0009457623236812651, 0.21141664683818817, 0.16599448025226593, 0.003321615979075432 ], [ 0.23169748485088348, 0.07782749086618423, 0.035093579441308975 ], [ 0.06610610336065292, 0.11150860041379929, 0.1664392352104187, 0.14603343605995178, 0.24586117267608643, 0.06816180050373077, 0.2227325737476349, 0.032045163214206696 ], [ 0.13498422503471375, 0.15501368045806885, 0.19312560558319092, 0.5925874710083008, 0.08992138504981995, 0.06502626836299896, 0.046000927686691284 ], [ 0.059301987290382385, 0.07669386267662048, 0.338470995426178, 0.008470279164612293, 0.27474018931388855, 0.00375874200835824, 0.36063361167907715, 0.058745648711919785, 0.24223138391971588, 0.04912408068776131, 0.03038315288722515 ] ] }, { "q_id": "8297_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7215105891227722, 0.3914477527141571, 0.179332435131073, 0.994633674621582, 0.9987460374832153 ], [ 0.7215082049369812, 0.09634201973676682, 0.3994413912296295, 0.4850846827030182, 0.9931157231330872, 0.997803270816803 ], [ 0.7215085029602051, 0.06523929536342621, 0.38760021328926086, 0.6615503430366516, 0.4667321443557739, 0.0020777657628059387, 0.03680951148271561, 0.025857888162136078, 0.0009678782080300152, 0.9919672608375549, 0.9981505274772644 ], [ 0.7215077877044678, 0.03070516511797905, 0.011793571524322033, 0.018888190388679504, 0.29727426171302795, 0.2875288426876068, 0.003779869293794036, 0.6961898803710938, 0.008876639418303967, 0.9941470623016357, 0.9990552067756653 ], [ 0.7215097546577454, 0.34373101592063904, 0.4791699945926666, 0.9882558584213257, 0.9981691837310791 ], [ 0.7215104699134827, 0.022139783948659897, 0.1851237416267395, 0.5845533013343811, 0.0021412759087979794, 0.9908664226531982, 0.9985398054122925 ], [ 0.7215077877044678, 0.03070516511797905, 0.05449284613132477, 0.12305624037981033, 0.30618494749069214, 0.5262020230293274, 0.011864637024700642, 0.034405868500471115, 0.004630210343748331, 0.9953899383544922, 0.9991205334663391 ], [ 0.7215089201927185, 0.06523957848548889, 0.03275171294808388, 0.15890564024448395, 0.011869154870510101, 0.7841517329216003, 0.003262900747358799, 0.001795694581232965, 8.200591764762066e-06, 0.9925110340118408, 0.9987024068832397 ], [ 0.7215096950531006, 0.36008021235466003, 0.5657936334609985, 0.43646934628486633, 0.9937372207641602, 0.997607946395874 ], [ 0.07204443216323853, 0.09834149479866028, 0.1463259905576706, 0.304166704416275, 0.042660072445869446, 0.35986799001693726, 0.0014680596068501472, 0.7475466132164001, 0.0016660223482176661, 0.11811382323503494, 0.072200246155262, 0.042638421058654785, 0.9922986626625061, 0.9979376792907715 ], [ 0.7215099334716797, 0.2968200445175171, 0.07670898735523224, 0.0702415406703949, 0.0012063989415764809, 0.9955092668533325, 0.9987800717353821 ], [ 0.7215065956115723, 0.3536069393157959, 0.49104857444763184, 0.0017339142505079508, 0.9922685027122498, 0.9975811243057251 ], [ 0.7215065360069275, 0.06523929536342621, 0.03186650574207306, 0.5301274657249451, 0.749918520450592, 0.025531427934765816, 0.43968671560287476, 0.0019295995589345694, 0.0005601798184216022, 0.026317840442061424, 0.03267262130975723, 0.0008643231703899801, 0.990831196308136, 0.9980423450469971 ], [ 0.7215088605880737, 0.06523986905813217, 0.017149770632386208, 0.40948688983917236, 0.01145511120557785, 0.784871518611908, 0.5649279356002808, 0.003754639532417059, 0.04937855899333954, 0.047009192407131195, 0.000864415371324867, 0.9904162883758545, 0.9983417987823486 ], [ 0.7215072512626648, 0.06523917615413666, 0.3648626208305359, 0.014139000326395035, 0.6686745285987854, 0.035805221647024155, 0.39851731061935425, 0.0012009654892608523, 0.000788405304774642, 6.390032012859592e-06, 0.9930391907691956, 0.9986153841018677 ], [ 0.7215077877044678, 0.06523946672677994, 0.2612594962120056, 0.6495577692985535, 0.015103422105312347, 0.40495365858078003, 0.0019358248682692647, 0.9957501888275146, 0.9987251162528992 ] ] }, { "q_id": "8000_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.29023945331573486, 0.0002691556583158672 ], [ 0.023517083376646042, 0.1683456152677536, 0.00029112459742464125 ], [ 0.2313963770866394, 0.00022347089543472975 ], [ 0.19819606840610504, 0.000247697695158422 ], [ 0.5144065022468567, 0.139996737241745, 0.022807661443948746, 0.008500758558511734, 0.0003816746757365763 ], [ 0.1685391217470169, 0.08325908333063126, 0.11416294425725937, 0.00028211745666339993 ], [ 0.19048848748207092, 0.09910854697227478, 0.00024573635892011225 ], [ 0.547930896282196, 0.03274250030517578, 0.0002956522803287953 ], [ 0.19048824906349182, 0.07675925642251968, 0.0002876735234167427 ], [ 0.14462630450725555, 0.09100031852722168, 0.000257431180216372 ], [ 0.5585278272628784, 0.01071621011942625, 0.018657539039850235, 0.04891768842935562, 0.012122299522161484, 0.01243611890822649 ], [ 0.685636579990387, 0.09938468784093857, 0.11984172463417053, 0.00024436722742393613 ], [ 0.3391083776950836, 0.18536651134490967, 0.0002699850301723927 ], [ 0.00027795330970548093, 0.001161920721642673, 0.05396934971213341, 0.05805955454707146 ], [ 0.23434309661388397, 0.1331835687160492, 0.00021853878570254892 ], [ 0.5144087672233582, 0.04210124909877777, 0.1518562138080597, 0.0002365231339354068 ] ] }, { "q_id": "8265_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.625236988067627, 0.5270780920982361, 0.99730384349823, 0.9995693564414978 ], [ 0.49471181631088257, 0.49824070930480957, 0.9976069927215576, 0.9996523857116699 ], [ 0.48086458444595337, 0.7304690480232239, 0.999049961566925, 0.9996040463447571 ], [ 0.49471181631088257, 0.9983355402946472, 0.9997079968452454 ], [ 0.864945650100708, 0.803095817565918, 0.9986151456832886, 0.9996618032455444 ], [ 0.8805598616600037, 0.9993014335632324, 0.999539852142334 ], [ 0.4947144389152527, 0.49048492312431335, 0.9975507855415344, 0.9996603727340698 ], [ 0.6147091388702393, 0.5284473896026611, 0.9990123510360718, 0.9996330738067627 ], [ 0.8807383179664612, 0.7544478178024292, 0.9991970658302307, 0.9996066689491272 ], [ 0.6252374053001404, 0.6551724672317505, 0.997309684753418, 0.9995477795600891 ], [ 0.6480046510696411, 0.9980425834655762, 0.9996316432952881 ], [ 0.625235915184021, 0.5270813703536987, 0.99730384349823, 0.9995693564414978 ], [ 0.9994930028915405, 0.9995774626731873 ], [ 0.7245492935180664, 0.41773301362991333, 0.9990137815475464, 0.9996925592422485 ], [ 0.9181624054908752, 0.8770484328269958, 0.9991083741188049, 0.9996743202209473 ], [ 0.5240857005119324, 0.998145580291748, 0.9995995163917542 ] ] }, { "q_id": "8455_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.944539487361908, 0.9606451392173767, 0.9562982320785522, 0.9999314546585083, 0.999976634979248 ], [ 0.9975469708442688, 0.9323490262031555, 0.999914288520813, 0.99997878074646 ], [ 0.9872109889984131, 0.38446199893951416, 0.6126313209533691, 0.9997279047966003, 0.9999696016311646 ], [ 0.9866276383399963, 0.34058883786201477, 0.6534109711647034, 0.9997825026512146, 0.999970555305481 ], [ 0.9973893761634827, 0.9028909206390381, 0.9999037981033325, 0.9999773502349854 ], [ 0.9866277575492859, 0.909957230091095, 0.999785840511322, 0.9999682903289795 ], [ 0.9973893761634827, 0.9998960494995117, 0.9999747276306152 ], [ 0.9975470900535583, 0.9999167919158936, 0.9999752044677734 ], [ 0.9866276383399963, 0.4343535304069519, 0.6318867206573486, 0.9997367262840271, 0.9999672174453735 ], [ 0.9872108697891235, 0.3844572901725769, 0.6126301884651184, 0.9997279047966003, 0.9999696016311646 ], [ 0.9551833271980286, 0.9778362512588501, 0.9998918771743774, 0.9999712705612183 ], [ 0.987210750579834, 0.3189197778701782, 0.6187806725502014, 0.9994375109672546, 0.9999700784683228 ], [ 0.9975470900535583, 0.9479690790176392, 0.9998918771743774, 0.9999761581420898 ], [ 0.9866277575492859, 0.4799806773662567, 0.6700002551078796, 0.9997583031654358, 0.9999686479568481 ], [ 0.9975469708442688, 0.9998990297317505, 0.9999740123748779 ], [ 0.9473240971565247, 0.9715296626091003, 0.8845029473304749, 0.9998749494552612, 0.999969482421875 ] ] }, { "q_id": "8169_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2950425446033478, 0.7495912909507751, 0.9927173852920532, 0.9986284971237183 ], [ 0.2950435280799866, 0.09579005837440491, 0.3604932129383087, 0.4468831717967987, 0.9938010573387146, 0.996893048286438, 0.9985853433609009 ], [ 0.2950439453125, 0.17959843575954437, 0.035050470381975174, 0.2609518766403198, 0.0220603309571743, 0.9930722117424011, 0.9974414110183716, 0.9989812970161438 ], [ 0.2950435280799866, 0.5509568452835083, 0.027121229097247124, 0.9947526454925537, 0.9986215829849243 ], [ 0.2950427234172821, 0.4536322057247162, 0.034893471747636795, 0.9943867921829224, 0.9982333183288574, 0.999302864074707 ], [ 0.29504314064979553, 0.743158757686615, 0.992970883846283, 0.9986661672592163 ], [ 0.29504266381263733, 0.9940345883369446, 0.9985899329185486 ], [ 0.2950393557548523, 0.7257594466209412, 0.9930397272109985, 0.9987474679946899 ], [ 0.2950435280799866, 0.39712804555892944, 0.3730131685733795, 0.38394737243652344, 0.9925640225410461, 0.9985412359237671 ], [ 0.6413620710372925, 0.7593395709991455, 0.9906529188156128, 0.9976352453231812, 0.999014139175415 ], [ 0.2950425446033478, 0.7431552410125732, 0.9931694269180298, 0.9986782670021057 ], [ 0.29504314064979553, 0.7136390209197998, 0.9954580068588257, 0.9992245435714722 ], [ 0.29504266381263733, 0.1290876269340515, 0.3636488616466522, 0.9926714897155762, 0.9988430738449097 ], [ 0.2950459122657776, 0.716505765914917, 0.9930024743080139, 0.9979864358901978, 0.9991969466209412 ], [ 0.2950422465801239, 0.7521173357963562, 0.9927016496658325, 0.9985939860343933 ], [ 0.31828773021698, 0.44001898169517517, 0.9916006326675415, 0.9987700581550598 ] ] }, { "q_id": "8972_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8003251552581787, 0.9837595224380493, 0.00041628783219493926 ], [ 0.018113084137439728, 0.07299862802028656, 0.04109238460659981, 0.060560088604688644, 0.1426672488451004, 0.03577224910259247, 0.9707393050193787, 0.00048268178943544626 ], [ 0.4580671787261963, 0.9955565333366394, 0.0007070309366099536 ], [ 0.5886586904525757, 0.9959068298339844, 0.019746366888284683, 0.0007631744374521077 ], [ 0.05728135630488396, 0.8963695168495178, 0.14335668087005615, 0.998839795589447 ], [ 0.5739977359771729, 0.9242780208587646, 0.0005133879603818059 ], [ 0.4349902272224426, 0.8116482496261597, 0.0005723490612581372 ], [ 0.9175618290901184, 0.020792359486222267, 0.8887060284614563, 0.00037224782863631845 ], [ 0.07670912146568298, 0.6802611947059631, 0.9945251941680908, 0.9997362494468689 ], [ 0.04054047912359238, 0.029974358156323433, 0.8547099232673645, 0.013120122253894806, 0.9255427122116089, 0.03300388529896736, 0.998765230178833 ], [ 0.0004947685520164669, 0.003354376181960106, 0.0053193653002381325, 0.039784256368875504, 0.025383779779076576, 0.002897169440984726 ], [ 0.057280998677015305, 0.05007479712367058, 0.9385550618171692, 0.0020070509053766727, 0.9882934093475342, 0.9739373326301575, 0.999652624130249 ], [ 0.057281143963336945, 0.050075482577085495, 0.9437333345413208, 0.0018534368136897683, 0.03901924565434456, 0.9982537627220154 ], [ 0.3033028244972229, 0.5834040641784668, 0.051859136670827866, 0.0005251331604085863 ], [ 0.5380011796951294, 0.020034223794937134, 0.0006017166306264699 ], [ 0.035560715943574905, 0.06902003288269043, 0.912301242351532, 0.0018908880883827806, 0.9707541465759277, 0.024642974138259888, 0.9986735582351685 ] ] }, { "q_id": "8270_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6608113646507263, 0.8159340620040894, 0.07023029774427414, 0.9977153539657593, 0.9994496703147888 ], [ 0.9714891910552979, 0.5059516429901123, 0.2617682218551636, 0.12393160909414291, 0.9985710382461548, 0.9998028874397278 ], [ 0.7200698852539062, 0.025871822610497475, 0.20172680914402008, 0.9349846243858337, 0.0021394689101725817, 0.25075381994247437, 0.05871715024113655, 0.12155596166849136, 0.011799752712249756, 0.06030488386750221, 0.20222677290439606, 0.22075138986110687, 0.10588827729225159, 0.9966926574707031, 0.9996861219406128 ], [ 0.7200689315795898, 0.24452680349349976, 0.9351149797439575, 0.5238394737243652, 0.06985962390899658, 0.09929129481315613, 0.07023603469133377, 0.09889944642782211, 0.08940427005290985, 0.9973165392875671, 0.9997544884681702 ], [ 0.8048302531242371, 0.20243233442306519, 0.997723400592804, 0.9995038509368896 ], [ 0.5962710976600647, 0.9034736156463623, 0.27753281593322754, 0.021696913987398148, 0.3170734643936157, 0.29932814836502075, 0.2453034371137619, 0.05966818332672119, 0.9987766146659851, 0.9998119473457336 ], [ 0.553735077381134, 0.6772409081459045, 0.002858789637684822, 0.2705938220024109, 0.07829557359218597, 0.07876173406839371, 0.286911278963089, 0.3626781702041626, 0.21539287269115448, 0.10875651240348816, 0.9987216591835022, 0.9998219609260559 ], [ 0.5019739866256714, 0.8142746686935425, 0.003515389980748296, 0.15771380066871643, 0.1637619584798813, 0.3242318332195282, 0.06960039585828781, 0.13452278077602386, 0.010253207758069038, 0.4763505458831787, 0.2713729441165924, 0.9973151087760925, 0.9996504783630371 ], [ 0.7200663089752197, 0.025871606543660164, 0.23677825927734375, 0.9496148824691772, 0.004535024985671043, 0.338775098323822, 0.04181317612528801, 0.09647062420845032, 0.008477399125695229, 0.053357455879449844, 0.1369466930627823, 0.16108599305152893, 0.09881920367479324, 0.049456145614385605, 0.2198992669582367, 0.9958894848823547, 0.9997010827064514 ], [ 0.937396228313446, 0.300936758518219, 0.9973492622375488, 0.9995347261428833 ], [ 0.7200672030448914, 0.009832148440182209, 0.19962269067764282, 0.921454131603241, 0.0036184657365083694, 0.21599522233009338, 0.0565752312541008, 0.10216352343559265, 0.010328717529773712, 0.43725505471229553, 0.1303671896457672, 0.9961414933204651, 0.9996800422668457 ], [ 0.5267468094825745, 0.7482826709747314, 0.003092836821451783, 0.2924319803714752, 0.031771402806043625, 0.11805493384599686, 0.30799832940101624, 0.2523106336593628, 0.28790390491485596, 0.9986716508865356, 0.9997747540473938 ], [ 0.7948654890060425, 0.19570042192935944, 0.0779179260134697, 0.9960253238677979, 0.9994832277297974 ], [ 0.7200676202774048, 0.0027230759151279926, 0.0027889206539839506, 0.1537906676530838, 0.05368145927786827, 0.20386646687984467, 0.25730589032173157, 0.05462503060698509, 0.060406945645809174, 0.05937403067946434, 0.012241194024682045, 0.09142974019050598, 0.16521652042865753, 0.1927317976951599, 0.097259521484375, 0.056815359741449356, 0.26159343123435974, 0.9965348243713379, 0.9996296167373657 ], [ 0.7751244306564331, 0.00357985682785511, 0.035474278032779694, 0.025232022628188133, 0.08418384939432144, 0.07863249629735947, 0.2820777893066406, 0.0007452160934917629, 0.4177805781364441, 0.07561837881803513, 0.06472197920084, 0.01287517324090004, 0.5452478528022766, 0.04100324586033821, 0.9947372078895569, 0.99960857629776 ], [ 0.7200651168823242, 0.016401439905166626, 0.2240452617406845, 0.9409074783325195, 0.0017863528337329626, 0.17372392117977142, 0.0679209977388382, 0.10375252366065979, 0.01072928961366415, 0.09359528869390488, 0.17217014729976654, 0.2748093605041504, 0.13358880579471588, 0.996803879737854, 0.9997590184211731 ] ] }, { "q_id": "7759_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.796419620513916, 0.010736266151070595, 0.017741916701197624, 0.23890116810798645, 0.342252641916275, 9.797162056202069e-05, 0.6291331052780151, 0.06713911890983582, 0.9848843812942505, 0.9989719390869141 ], [ 0.008227926678955555, 0.27627891302108765, 0.0012290440499782562 ], [ 0.2820693850517273, 0.016003070399165154, 0.006007478106766939, 0.007452663499861956, 0.014215146191418171, 0.03344350680708885, 0.0004477076872717589, 0.9645772576332092, 0.9972085356712341 ], [ 0.058164291083812714, 0.13143636286258698, 0.33706435561180115, 0.9870733022689819, 0.9980058073997498 ], [ 0.01705094985663891, 0.03817625716328621, 0.0144101707264781, 0.26445454359054565, 0.1285131275653839, 0.11864577978849411, 0.012593230232596397, 0.005554567091166973 ], [ 0.28206998109817505, 0.0041803778149187565, 0.016943752765655518, 0.012440248392522335, 0.029406750574707985, 0.05038376525044441, 0.9658961296081543, 0.9978674650192261 ], [ 0.7964184880256653, 0.005421525798738003, 0.44602689146995544, 0.03681301325559616, 0.047986697405576706, 0.02650199458003044 ], [ 0.7964191436767578, 0.005402701441198587, 0.0003267493157181889, 0.3248351812362671, 0.06205378845334053, 0.9960390329360962, 0.9992903470993042 ], [ 0.28207045793533325, 0.0025946367532014847, 0.10915788263082504, 0.018998023122549057, 0.002727425191551447, 0.03714148700237274, 0.16474205255508423, 0.0009820894338190556, 0.13944214582443237, 0.07372713088989258, 0.9658612012863159, 0.9974083304405212 ], [ 0.7964197993278503, 0.004216969478875399, 0.41280823945999146, 0.017888404428958893, 0.2861180305480957, 0.0004101386875845492, 0.5011088848114014, 0.004573911894112825, 0.9885862469673157, 0.998817503452301 ], [ 0.7964189052581787, 0.011280477978289127, 0.02571304701268673, 0.3243480324745178, 0.03893516957759857, 0.9774767756462097, 0.9983166456222534 ], [ 0.28207096457481384, 0.002464289078488946, 0.0021520566660910845, 0.016693679615855217, 5.694781066267751e-05, 0.49201199412345886, 0.0706092044711113, 0.9816931486129761, 0.9989575147628784 ], [ 0.030656907707452774, 0.9895907044410706, 0.998407781124115 ], [ 0.1761910319328308, 0.5579981803894043, 0.8500968813896179 ], [ 0.24187706410884857, 0.4692644476890564, 0.6443272233009338, 0.11442122608423233, 0.013791549950838089, 0.008059539832174778 ] ] }, { "q_id": "8068_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9379427433013916, 0.9982477426528931, 0.9994832277297974 ], [ 0.9695400595664978, 0.006875268183648586, 0.006845131982117891, 0.0025628472212702036 ], [ 0.943705141544342, 0.022529877722263336, 0.15325354039669037, 0.010458075441420078, 0.0002160869917133823, 0.20558325946331024, 0.17229020595550537, 0.7088853120803833, 0.9981722831726074, 0.999718964099884 ], [ 0.9561669826507568, 0.022227464243769646, 0.15721075236797333, 0.016683561727404594, 0.2862573266029358, 0.14961253106594086, 0.9984951019287109, 0.9997543692588806 ], [ 0.9433485269546509, 0.021865058690309525, 0.09139905124902725, 0.18139685690402985, 0.00017284245404880494, 0.010125106200575829, 0.0003801841812673956, 0.051937807351350784, 0.0942012369632721, 0.9981721639633179, 0.9997289776802063 ], [ 0.9364570379257202, 0.022457432001829147, 0.08886746317148209, 0.16767042875289917, 0.20240961015224457, 0.677549421787262, 0.11070725321769714, 0.3161824345588684, 0.2105642706155777, 0.9994006156921387, 0.9999198913574219 ], [ 0.8658241033554077, 0.32275712490081787, 0.22647924721240997, 0.3482365608215332, 0.9989132881164551, 0.9997566342353821 ], [ 0.9483188986778259, 0.23761047422885895, 0.26393821835517883, 0.9995152950286865, 0.9998869895935059 ], [ 0.9100106358528137, 0.1510428488254547, 0.30000483989715576, 0.9995192289352417, 0.999904990196228 ], [ 0.9584882855415344, 0.9985962510108948, 0.9995414018630981 ], [ 0.6129749417304993, 0.24114271998405457, 0.28758686780929565, 0.9977387189865112, 0.9995742440223694 ], [ 0.7355105876922607, 0.30507394671440125, 0.24081748723983765, 0.27720722556114197, 0.9993333220481873, 0.9997109770774841 ], [ 0.9584882855415344, 0.9994745850563049 ], [ 0.6024147272109985, 0.3745849132537842, 0.9984069466590881, 0.999670147895813 ], [ 0.9639999270439148, 0.11827824264764786, 0.29574450850486755, 0.9993240833282471, 0.999866247177124 ], [ 0.5762513875961304, 0.3483768403530121, 0.6812468767166138, 0.9987622499465942, 0.9996947050094604 ] ] }, { "q_id": "7976_mmlu_math", "cot_ids": [ 2, 4, 7, 10, 11, 15 ], "rewards": [ [ 0.5385078191757202, 0.0021476205438375473, 0.02192775160074234, 0.2476099282503128, 0.501327395439148, 0.04471805319190025, 0.00011886729043908417, 0.13001874089241028, 0.07541743665933609, 0.03800225257873535 ], [ 0.01274990662932396, 0.0778927430510521, 0.016507092863321304, 0.0012384015135467052, 0.16460812091827393, 0.0006535295397043228, 0.46794334053993225, 0.7373205423355103, 0.07675033807754517 ], [ 0.006301231682300568, 0.0025046970695257187, 0.005124453455209732, 0.04200325906276703, 0.0013901387574151158, 0.01712324284017086, 0.03305850178003311, 0.10316736251115799, 0.19624070823192596, 0.8478297591209412, 0.01928550750017166, 0.014878256246447563 ], [ 0.11037390679121017, 0.00024970562662929296, 0.03056497685611248, 0.018425730988383293, 0.00048232555855065584, 0.25867021083831787, 0.016809100285172462, 0.01508905366063118 ], [ 0.27862754464149475, 0.000395662325900048, 0.12046124786138535, 0.0006674652104265988, 0.016228817403316498, 0.0002657314471434802, 0.0004422106721904129, 0.0026094599161297083, 0.09189298003911972, 0.07151159644126892, 0.5439633131027222, 0.4680522084236145, 0.9238492250442505, 0.9785536527633667 ], [ 0.0011537227546796203, 0.45699968934059143, 0.15051817893981934, 0.001970369601622224, 0.23789939284324646, 0.0002767580735962838, 0.07940282672643661, 0.034240029752254486, 0.032321952283382416 ] ] }, { "q_id": "8375_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6775346398353577, 0.0016702834982424974, 0.31114429235458374, 0.438058465719223, 0.002185701159760356, 0.012706390582025051, 0.808996319770813, 0.9761477708816528, 0.9965865612030029 ], [ 0.6521252393722534, 0.004054214805364609, 0.45001286268234253, 0.2075509876012802, 0.7649655342102051, 0.9867000579833984, 0.9977078437805176 ], [ 0.6775319576263428, 0.0036047452595084906, 0.44812342524528503, 0.0073729692958295345, 0.8177962303161621, 0.9194591045379639, 0.9957102537155151 ], [ 0.6982825398445129, 0.0008617246057838202, 0.27500420808792114, 0.4690832495689392, 0.11480750143527985, 0.7901657223701477, 0.9838531017303467, 0.9974480867385864 ], [ 0.6982825398445129, 0.4846940040588379, 0.2762269675731659, 0.0039002802222967148, 0.02047230303287506, 0.7607076168060303, 0.41290369629859924, 0.9904305338859558 ], [ 0.06873061507940292, 0.4815821349620819, 0.1993790864944458, 0.8000462651252747, 0.990868330001831, 0.997879147529602 ], [ 0.6775348782539368, 0.0076525951735675335, 0.4031154215335846, 0.48743295669555664, 0.810817539691925, 0.9909404516220093, 0.9983332753181458 ], [ 0.6982819437980652, 0.0015526962233707309, 0.38065966963768005, 0.25156041979789734, 0.03649752214550972, 0.7961905002593994, 0.09596697241067886, 0.9724330306053162, 0.9970808625221252 ], [ 0.47436341643333435, 0.0006290255696512759, 0.27260029315948486, 0.15549278259277344, 0.008566340431571007, 0.024603167548775673, 0.7593181133270264, 0.39001163840293884, 0.9867252111434937 ], [ 0.7046490907669067, 0.002094221068546176, 0.3270651698112488, 0.26559707522392273, 0.007282669190317392, 0.0436638779938221, 0.7352262139320374, 0.9826281666755676, 0.9969857335090637 ], [ 0.6982821822166443, 0.0011390906292945147, 0.28185978531837463, 0.5175649523735046, 0.0019917835015803576, 0.08924927562475204, 0.7071033716201782, 0.8884479403495789, 0.9930828809738159 ], [ 0.6633001565933228, 0.0011236126301810145, 0.2903466522693634, 0.37167832255363464, 0.004404566716402769, 0.01532527431845665, 0.775174617767334, 0.9746657609939575, 0.9959749579429626 ], [ 0.6982825398445129, 0.0009136503795161843, 0.25112184882164, 0.6217308640480042, 0.01416836865246296, 0.8454548120498657, 0.6889041662216187, 0.5120087265968323, 0.9935686588287354 ], [ 0.6982840895652771, 0.002734517212957144, 0.41568711400032043, 0.179022878408432, 0.24618753790855408, 0.785392701625824, 0.9877023100852966, 0.9976353645324707 ], [ 0.9925498962402344, 0.9969438910484314 ], [ 0.698280930519104, 0.0015767113072797656, 0.30811968445777893, 0.15748097002506256, 0.016162751242518425, 0.7870264053344727, 0.08155404031276703, 0.9691499471664429, 0.9969580173492432 ] ] }, { "q_id": "8900_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.041708458214998245, 0.38229432702064514, 0.006667594891041517, 0.0032905624248087406, 0.01622183993458748 ], [ 0.04170895740389824, 0.4511524736881256, 0.005044932942837477, 0.001938686822541058, 0.014213684014976025 ], [ 0.0035329489037394524, 0.4003972113132477, 0.008075998164713383, 0.030155498534440994, 0.18086528778076172 ], [ 0.04170887544751167, 0.4173640310764313, 0.004482525400817394, 0.004136793781071901, 0.006802403833717108, 0.011516549624502659, 0.033664654940366745, 0.0125406039878726, 0.01571997068822384, 0.09082238376140594, 0.06586355715990067, 0.08511430025100708, 0.08109600096940994, 0.025625865906476974 ], [ 0.04170884191989899, 0.3600175678730011, 0.02721533365547657, 0.07689842581748962 ], [ 0.041708000004291534, 0.37242764234542847, 0.005223519168794155, 0.012337558902800083, 0.03789959102869034 ], [ 0.021034762263298035, 0.2555462718009949, 0.0065587167628109455, 0.01192350685596466, 0.038050781935453415 ], [ 0.011221618391573429, 0.34102651476860046, 0.0003932035469915718, 0.015087892301380634, 0.04943685606122017 ], [ 0.0035329689271748066, 0.40068936347961426, 0.00023915906785987318, 0.0076413024216890335, 0.02802800014615059 ], [ 0.0033279715571552515, 0.409607470035553, 0.005165519658476114, 0.8541285395622253, 0.17827436327934265 ], [ 0.04170895740389824, 0.3724294602870941, 0.004302573390305042, 0.06802336871623993, 0.015347634442150593 ], [ 0.005138816777616739, 0.33635658025741577, 0.058465469628572464, 0.1252850592136383 ], [ 0.02365138754248619, 0.4271683394908905, 0.06223899871110916, 0.1519552320241928 ], [ 0.04170823097229004, 0.024678513407707214, 0.11671503633260727, 0.1928737610578537, 0.4502047598361969, 0.4772215187549591, 0.01814957521855831, 0.044257424771785736 ], [ 0.04170895740389824, 0.34998559951782227, 0.005932435858994722, 0.09487075358629227, 0.28042659163475037 ], [ 0.04170884191989899, 0.36299148201942444, 0.0024097932036966085, 0.2478589564561844, 0.027543511241674423 ] ] }, { "q_id": "8723_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3746089041233063, 0.005355667322874069, 0.004892021417617798, 0.0003801814455073327, 0.025019492954015732, 0.00033288440317846835, 0.0573107972741127, 0.005251244176179171, 0.03241050988435745, 0.00190977961756289, 0.047358881682157516, 0.016374852508306503, 0.05507701635360718, 0.045846015214920044, 0.03274144232273102, 0.01833578199148178, 0.010695193894207478 ], [ 0.34635117650032043, 0.005045940633863211, 0.004514747299253941, 0.00039086275501176715, 0.03463480994105339, 0.007219880819320679, 0.0012693534372374415, 0.013425254262983799, 0.0026475591585040092, 0.04000668600201607, 0.007495795376598835, 0.036715056747198105, 0.017603596672415733, 0.04618608206510544, 0.11660221964120865, 0.015508086420595646, 0.009042488411068916, 0.003586143720895052, 0.08421491086483002, 0.03555001690983772, 0.04561474546790123, 0.020760945975780487, 0.005574154667556286 ], [ 0.374607115983963, 0.0053556072525680065, 0.0048920814879238605, 0.0017007410060614347, 0.0042101191356778145, 0.010574678890407085, 0.008190261200070381, 0.02480997145175934, 0.021258441731333733, 0.016536705195903778, 0.003909377846866846, 0.007584867998957634, 0.061742983758449554, 0.001262449542991817, 0.013551559299230576, 0.029947416856884956, 0.03680484741926193, 0.0056410739198327065 ], [ 0.37461015582084656, 0.005355604458600283, 0.004892038181424141, 0.00038018199848011136, 0.051515813916921616, 0.0161772221326828, 0.007954390719532967, 0.008939809165894985, 0.0007112431921996176, 0.07350782305002213, 0.006312381476163864, 0.028377769514918327, 0.020045533776283264, 0.05958385393023491, 0.07483083009719849, 0.08619464188814163, 0.006081469357013702, 0.0018396577797830105 ], [ 0.3746117353439331, 0.005355617497116327, 0.004892086144536734, 0.0003801803686656058, 0.06703819334506989, 0.00845098402351141, 0.006042086984962225, 0.012939071282744408, 0.000439454015577212, 0.0842568427324295, 0.010114711709320545, 0.030533965677022934, 0.020377859473228455, 0.05128675326704979, 0.09390780329704285, 0.03773081675171852, 0.008549915626645088, 0.0007456401945091784, 0.01817563734948635, 0.0059182122349739075, 0.10164960473775864, 0.4106247127056122, 0.010527496226131916 ], [ 0.37461093068122864, 0.0053556072525680065, 0.004892021417617798, 0.0028704500291496515, 0.002882980275899172, 0.016444934532046318, 0.0005317774484865367, 0.0546213835477829, 0.005451932083815336, 0.037570200860500336, 0.2650693356990814, 0.12627440690994263, 0.02332279458642006, 0.012005875818431377 ], [ 0.3746089041233063, 0.0018666372634470463, 0.001504379091784358, 0.0034726555459201336, 0.0063706692308187485, 0.03146400675177574, 0.0067961853928864, 0.15348832309246063, 0.009724719449877739, 0.02404715307056904, 0.0018951729871332645, 0.03234531730413437, 0.0025975359603762627, 0.017166167497634888, 0.005651881918311119 ], [ 0.3746089041233063, 0.005355597008019686, 0.004891995806246996, 0.000380180572392419, 0.019782496616244316, 0.0003696581406984478, 0.01829926297068596, 0.01676812395453453, 0.20241360366344452, 0.001062811934389174, 0.02168603613972664, 0.6703231930732727, 0.00513796042650938 ], [ 0.3463503122329712, 0.005045969504863024, 0.004514717031270266, 0.0003789889451581985, 0.03208422288298607, 0.0022970037534832954, 0.004911013413220644, 0.035306282341480255, 0.03214585408568382, 0.0867529883980751, 0.008549337275326252, 0.029389364644885063, 0.03200312703847885, 0.023075459524989128, 0.02656443789601326, 0.0019751018844544888 ], [ 0.3746090233325958, 0.005355583969503641, 0.004892021417617798, 0.0003801841812673956, 0.04213470220565796, 0.01669269986450672, 0.010994945652782917, 0.015109546482563019, 0.000755292596295476, 0.05413052812218666, 0.008152218535542488, 0.040130168199539185, 0.02659204974770546, 0.12878203392028809, 0.024853896349668503, 0.18283239006996155, 0.15802887082099915, 0.0055917538702487946 ], [ 0.37461405992507935, 0.005355672910809517, 0.004892042372375727, 0.00038017367478460073, 0.022096117958426476, 0.015805983915925026, 0.007100952323526144, 0.038462474942207336, 0.0026534011121839285, 0.1597515195608139, 0.03426578640937805, 0.02572936750948429, 0.005259061232209206 ], [ 0.3463534414768219, 0.00504595972597599, 0.004514699336141348, 0.00037898533628322184, 0.05953342467546463, 0.012054244987666607, 0.008975595235824585, 0.03849830478429794, 0.002082166261970997, 0.03851112350821495, 0.02403571642935276, 0.05041968822479248, 0.02786645106971264, 0.23263217508792877, 0.006962503306567669 ], [ 0.37461215257644653, 0.00535561190918088, 0.011145727708935738, 0.0004867734096478671, 0.04119829833507538, 0.0072433860041201115, 0.008490475825965405, 0.011825942434370518, 0.00040516804438084364, 0.05641772598028183, 0.0044864765368402, 0.02382674068212509, 0.10020928084850311, 0.036923691630363464, 0.023760754615068436, 0.021112635731697083, 0.0701136514544487, 0.02279616706073284, 0.02210097946226597, 0.0005641954485327005, 0.004887325689196587, 0.04970245435833931, 0.01058924663811922, 0.006035567726939917 ], [ 0.3746122419834137, 0.0010499301133677363, 0.00569856446236372, 0.0014654044061899185, 0.011944744735956192, 0.0012159362668171525, 0.1514284461736679, 0.0177695844322443, 0.0031281346455216408, 0.022338058799505234, 0.014226170256733894, 0.012398116290569305, 0.027551915496587753, 0.22118884325027466, 0.8224144577980042, 0.0037664033006876707 ], [ 0.37461116909980774, 0.005555989686399698, 0.016293779015541077, 0.018818773329257965, 0.007804593071341515, 0.014933465979993343, 0.01732579618692398, 0.017992449924349785, 0.02197590097784996, 0.023547139018774033, 0.010012739337980747, 0.0013933716109022498 ] ] }, { "q_id": "7887_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2384267896413803, 0.002758241258561611, 0.03982206806540489, 0.0033358477521687746, 0.00048821422387845814, 0.0807197242975235, 0.04604119062423706, 0.01610511913895607, 0.0030400468967854977, 0.015503423288464546, 0.13516931235790253, 0.07037431746721268, 0.04638185724616051, 0.023833563551306725 ], [ 0.2384282648563385, 0.0014332435093820095, 0.0269017294049263, 0.0880500003695488, 0.0011164075694978237, 0.08555202186107635, 0.002354276366531849, 0.012628148309886456, 0.003502940759062767 ], [ 0.23842689394950867, 0.0027732476592063904, 0.22819513082504272, 0.0015967321814969182, 0.34776121377944946, 0.058389659970998764, 0.31312188506126404, 0.015854867175221443, 0.05077274888753891, 0.04636931046843529, 0.0009190032724291086 ], [ 0.2384282648563385, 0.0033840856049209833, 0.027484988793730736, 0.043218210339546204, 0.1699034869670868, 0.0003609528939705342, 0.03440498188138008, 0.2742016017436981, 0.059081610292196274, 0.12431637942790985, 0.00905347615480423, 0.008887113071978092, 0.10982935130596161, 0.040791966021060944, 0.0039919461123645306 ], [ 0.23842592537403107, 0.002773249987512827, 0.24304452538490295, 0.0020056855864822865, 0.04405984282493591, 0.12059174478054047, 0.12564079463481903, 0.00989373680204153, 0.028194177895784378, 0.02645404450595379, 0.0011541425483301282 ], [ 0.238427996635437, 0.015450658276677132, 0.0845261737704277, 0.004905312787741423, 0.3177902400493622, 0.029751228168606758, 0.11014465242624283, 0.019734295085072517, 0.02621297352015972, 0.07087443023920059, 0.0010961989173665643 ], [ 0.23842576146125793, 0.00032719600130803883, 0.01363337878137827, 0.0012662573717534542, 0.0068036639131605625, 0.020518731325864792, 0.04654287174344063, 0.011755864135921001, 0.013305571861565113, 0.06264720857143402, 0.006490160245448351, 0.02566833235323429, 0.11524883657693863, 0.02764374390244484, 0.012970715761184692, 0.002159524941816926 ], [ 0.23842619359493256, 0.00014379978529177606, 0.02059188298881054, 0.0007948868442326784, 0.053539395332336426, 0.00466030091047287, 0.00027507764752954245, 0.18310554325580597, 0.0026637171395123005, 0.015362181700766087, 0.038611266762018204, 0.026301337406039238 ], [ 0.2384273111820221, 0.0016183926491066813, 0.025343474000692368, 0.00025451357942074537, 0.0617063082754612, 0.0008397679775953293, 0.007058505900204182, 0.07369698584079742, 0.005424061790108681, 0.008290995843708515, 0.03386518359184265, 0.07040458172559738, 0.013098026625812054, 0.03504086285829544, 0.0029373515862971544 ], [ 0.23842506110668182, 0.00358487106859684, 0.031582608819007874, 0.0022012428380548954, 0.06733296066522598, 0.04456479474902153, 0.005332399625331163, 0.01986311748623848, 0.0051629673689603806, 0.038517773151397705, 0.03434285894036293, 0.014382545836269855, 0.0022071755956858397 ], [ 0.23842598497867584, 0.0004169783496763557, 0.021683799102902412, 0.0012033754028379917, 0.00027811762993223965, 0.3416856527328491, 0.0005347463884390891, 0.1552264243364334, 0.01008144486695528, 0.010367344133555889, 0.061942145228385925, 0.0547393262386322, 0.03964563086628914, 0.03695998340845108, 0.001984605798497796 ], [ 0.23842661082744598, 0.006159903947263956, 0.007488819770514965, 0.10187669098377228, 0.005093744955956936, 0.037993136793375015, 0.009381168521940708, 0.039882756769657135, 0.07750040292739868, 0.04843953251838684, 0.342899352312088, 0.06232050061225891, 0.002310300711542368 ], [ 0.2384273111820221, 0.002758248010650277, 0.0002155626571038738, 0.09300868213176727, 0.010710791684687138, 0.000559030391741544, 0.3557071387767792, 0.026983700692653656, 0.004743174184113741, 0.03201282024383545, 0.023067355155944824, 0.01061328873038292 ], [ 0.2384241670370102, 0.003751510987058282, 0.301685631275177, 0.004221972078084946, 0.09121639281511307, 0.005261157173663378, 0.009007267653942108, 0.0006641842774115503 ], [ 0.23842652142047882, 0.005056969355791807, 0.00548087852075696, 0.02825123630464077, 0.04056501016020775, 0.012488442473113537, 0.004258865024894476, 0.0218830443918705, 0.00694282166659832, 0.0368015319108963, 0.2668730616569519, 0.044289447367191315, 0.03434817120432854, 0.00425554858520627 ], [ 0.2384263426065445, 0.00277323299087584, 0.2889179289340973, 0.0026297972071915865, 0.21376721560955048, 0.09258044511079788, 0.006777607370167971, 0.007070627529174089, 0.0005361457588151097 ] ] }, { "q_id": "8192_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15 ], "rewards": [ [ 0.3739725649356842, 0.10327758640050888, 0.32544809579849243, 0.11326302587985992, 0.01076596975326538, 0.03682562708854675 ], [ 0.7435943484306335, 0.18454411625862122, 0.24968461692333221, 0.1477106511592865, 0.36997970938682556, 0.5856214761734009, 0.039264991879463196 ], [ 0.5185810327529907, 0.03413228690624237, 0.0678885206580162, 0.07239559292793274, 0.08730223774909973, 0.03452194854617119 ], [ 0.7822051048278809, 0.5018346309661865, 0.11335190385580063, 0.39441025257110596, 0.07168887555599213, 0.29389724135398865, 0.005500912666320801 ], [ 0.43365633487701416, 0.14666131138801575, 0.005267026834189892, 0.15323509275913239, 0.07601846009492874, 0.46998918056488037, 0.06835784018039703, 0.14110495150089264, 0.03481683507561684 ], [ 0.7625531554222107, 0.0011133929947391152, 0.46692678332328796, 0.10792303830385208, 0.22803662717342377, 0.21713107824325562, 0.20627720654010773, 0.036639660596847534, 0.020421752706170082 ], [ 0.7570396661758423, 0.13984815776348114, 0.08334480971097946, 0.13050314784049988, 0.02724955417215824, 0.0335858091711998, 0.014751181937754154, 0.028043579310178757 ], [ 0.44427067041397095, 0.1383221447467804, 0.11955327540636063, 0.1990281045436859, 0.26236623525619507, 0.08291854709386826, 0.0553126260638237, 0.011226236820220947 ], [ 0.23977716267108917, 0.003986668307334185, 0.17700617015361786, 0.024250810965895653, 0.022173475474119186, 0.036677468568086624, 0.0001912295410875231, 0.1747344434261322, 0.0020469508599489927, 0.3744537830352783, 0.0691436231136322, 0.09673954546451569, 0.01985251158475876, 0.027289321646094322, 0.017617128789424896 ], [ 0.40927255153656006, 0.24356774985790253, 0.009290273301303387, 0.15448690950870514, 0.4159725308418274, 0.08236296474933624, 0.1756514012813568, 0.9573626518249512 ], [ 0.7902213335037231, 0.024647880345582962, 0.41346675157546997, 0.004305324051529169, 0.004062139894813299, 0.014235307462513447, 0.06690651178359985, 0.07341285794973373, 0.2852589786052704, 0.2670653164386749, 0.25401729345321655, 0.05170545354485512 ], [ 0.7769783735275269, 0.022645890712738037, 0.38608646392822266, 0.0031113841105252504, 0.0060457768850028515, 0.13103751838207245, 0.1279117465019226, 0.2937931418418884, 0.06175019219517708, 0.21622028946876526, 0.20680242776870728, 0.004199173767119646 ], [ 0.785000205039978, 0.2592028081417084, 0.24689994752407074, 0.14918364584445953, 0.34458643198013306, 0.46529853343963623, 0.0043580662459135056 ], [ 0.818993330001831, 0.024846786633133888, 0.35910797119140625, 0.11514376848936081, 0.30715277791023254, 0.07833687216043472, 0.22711007297039032, 0.948901891708374 ], [ 0.7981083393096924, 0.17217007279396057, 0.0016243753489106894, 0.012505631893873215, 0.05985785648226738, 0.02493499033153057, 0.1509450525045395, 0.20247982442378998, 0.04304913431406021, 0.1609567105770111, 0.012540952302515507, 0.21109215915203094, 0.004744319710880518 ] ] }, { "q_id": "8028_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8856245875358582, 0.05402076616883278, 0.022692859172821045, 0.005552233196794987, 0.007096334360539913 ], [ 0.9126311540603638, 0.3444020748138428, 0.0047147879377007484 ], [ 0.09031648188829422, 0.015612808987498283 ], [ 0.7258708477020264, 0.020459091290831566, 0.05814039707183838, 0.016212504357099533 ], [ 0.7742872834205627, 0.012195798568427563, 0.028174247592687607, 0.027478424832224846 ], [ 0.7506988048553467, 0.14494851231575012, 0.601212203502655, 0.026380840688943863, 0.008942192420363426 ], [ 0.7513703107833862, 0.00936278235167265, 0.006716941948980093 ], [ 0.8856233954429626, 0.047801461070775986, 0.024823540821671486, 0.008589716628193855, 0.010200911201536655 ], [ 0.7355151176452637, 0.022883687168359756, 0.00601637177169323 ], [ 0.7804167866706848, 0.02699526958167553, 0.14512452483177185, 0.006708421278744936 ], [ 0.8979469537734985, 0.04563850164413452, 0.032865650951862335, 0.028361093252897263, 0.015990231186151505 ], [ 0.9290931224822998, 0.004296733066439629, 0.019916705787181854, 0.013640896417200565 ], [ 0.7443556785583496, 0.010977993719279766, 0.0069504957646131516 ], [ 0.9290940165519714, 0.056446824222803116, 0.03744058683514595, 0.0009654155583120883, 0.4669661819934845, 0.005893627181649208, 0.007536155637353659 ], [ 0.6302565932273865, 0.01636093482375145, 0.006099042482674122 ], [ 0.12526923418045044, 0.5693432092666626, 0.22184568643569946, 0.0037177468184381723, 0.006859037093818188 ] ] }, { "q_id": "8969_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5033908486366272, 0.0007124894764274359, 0.00985182449221611, 0.0006539707537740469, 0.028705643489956856, 0.012626090086996555, 0.0021789728198200464, 0.019180594012141228, 0.012303411960601807, 0.013865018263459206, 0.01895355060696602, 0.021500371396541595, 0.9928469061851501, 0.9995501637458801 ], [ 0.6443194150924683, 0.0007507288246415555, 0.0199272558093071, 0.003803820116445422, 0.01766872964799404, 0.0022967730183154345, 5.3097257477929816e-05, 0.017468376085162163, 0.0035966169089078903, 0.010514620691537857, 0.007629710715264082, 9.89264517556876e-05, 0.04562608152627945, 0.037270043045282364, 0.04776933416724205, 0.027431024238467216, 0.9950612187385559, 0.9998169541358948 ], [ 0.6443160176277161, 0.0007493456942029297, 0.009738201275467873, 0.007908323779702187, 0.027500810101628304, 0.003330192994326353, 7.698501576669514e-05, 0.07863101363182068, 0.000236529900575988, 0.04040870442986488, 0.24476006627082825, 0.06383662670850754, 0.642540693283081, 0.9784415364265442, 0.9998911619186401 ], [ 0.5033971667289734, 0.0007125017582438886, 0.010931530967354774, 0.005042741075158119, 0.03014999069273472, 0.0027274861931800842, 8.680496830493212e-05, 0.02465534396469593, 0.011577324941754341, 0.07191521674394608, 8.504946163157001e-05, 0.019744640216231346, 0.0013261561980471015, 0.9954317808151245, 0.9997604489326477 ], [ 0.6443232297897339, 2.67729046754539e-05, 0.039420414716005325, 0.0005709583638235927, 0.00730429170653224, 0.008959289640188217, 0.04413507133722305, 0.07290485501289368, 0.002870656317099929, 0.023623600602149963, 0.05104401335120201, 0.2914128303527832, 0.9996854066848755 ], [ 0.6443226933479309, 0.0007493521552532911, 0.013110172934830189, 0.0007520727813243866, 0.028536921367049217, 0.00045021259575150907, 0.012180906720459461, 0.0004908300470560789, 0.04060966148972511, 0.025939617305994034, 0.037467747926712036, 0.07717195898294449, 0.038675520569086075, 0.043989043682813644, 0.9129404425621033, 0.08498139679431915, 0.755721926689148, 0.9997707009315491 ], [ 0.6443188190460205, 0.04264067858457565, 0.05526425316929817, 0.00477417791262269, 0.01495405938476324, 0.010266725905239582, 0.058908723294734955, 0.03219782933592796, 0.11414191126823425, 0.9974959492683411, 0.9998598098754883 ], [ 0.6443158388137817, 2.6772650016937405e-05, 0.05335940048098564, 0.0005834736512042582, 0.007767449598759413, 0.008619079366326332, 0.035762201994657516, 0.0710371881723404, 0.0023541017435491085, 0.02435469627380371, 0.995972216129303, 0.999744713306427 ], [ 0.5033959746360779, 0.0007124983239918947, 0.014199092984199524, 0.0007713832892477512, 0.037033867090940475, 0.012236434035003185, 0.002178171183913946, 0.10673677921295166, 0.023170696571469307, 0.9938910007476807, 0.9997274279594421 ], [ 0.6443163752555847, 0.0011052049230784178, 0.017423298209905624, 0.009678234346210957, 0.04728149250149727, 0.006496051326394081, 6.658685742877424e-05, 0.03697541728615761, 0.0008907345472835004, 0.12544342875480652, 0.027342000976204872, 0.993965208530426, 0.9932409524917603, 0.9998058676719666 ], [ 0.6443226933479309, 0.0007493521552532911, 0.012532901018857956, 0.000677766278386116, 0.02607259526848793, 0.010384575463831425, 0.0029161518905311823, 0.00015304345288313925, 0.03414484113454819, 0.02823605202138424, 0.026094570755958557, 0.05840319022536278, 0.03537994250655174, 0.043310344219207764, 0.04957342520356178, 0.024228524416685104, 0.1329011470079422, 0.18375155329704285, 0.9997499585151672 ], [ 0.6443222761154175, 2.6772830096888356e-05, 0.061739977449178696, 0.004498988389968872, 0.03354471176862717, 0.004137059208005667, 0.0005174544639885426, 0.075797900557518, 0.003234885400161147, 0.01241378579288721, 0.000985456514172256, 0.012256032787263393, 0.04466601461172104, 0.004898527637124062, 0.9941516518592834, 0.9997368454933167 ], [ 0.5784600377082825, 0.003635444212704897, 0.017361439764499664, 0.004296227358281612, 0.00011771326535381377, 0.04356396570801735, 0.0008236187277361751, 0.9941568374633789, 0.9945347309112549, 0.9998062252998352 ], [ 0.6443224549293518, 0.0007493486045859754, 0.014731395058333874, 0.008811642415821552, 0.038819167762994766, 0.0057440148666501045, 5.334131856216118e-05, 0.03432010859251022, 0.004741804674267769, 0.01014693547040224, 0.007375694345682859, 0.015917884185910225, 0.18022824823856354, 0.000523086404427886, 0.18160143494606018, 0.045238882303237915, 0.0022007569205015898, 0.9959710240364075, 0.9997527003288269 ], [ 0.5033954977989197, 3.201971048838459e-05, 0.032299526035785675, 0.0003728217270690948, 0.003547431668266654, 0.006777071859687567, 0.14724405109882355, 0.05355488508939743, 0.006157230120152235, 0.9945624470710754, 0.9996947050094604 ], [ 0.5033958554267883, 4.655739030567929e-05, 0.029665939509868622, 0.0005651125102303922, 0.0065155476331710815, 0.009582655504345894, 0.03726458549499512, 0.06443075090646744, 0.0022356235422194004, 0.9957718253135681, 0.9997575879096985 ] ] }, { "q_id": "8080_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3991958796977997, 0.12241867184638977, 0.9105960130691528, 0.05420214682817459, 0.07404664158821106, 0.008595695719122887, 0.6312320828437805, 0.0303469430655241 ], [ 0.3991953730583191, 0.008441231213510036, 0.11109203100204468, 0.06769736856222153, 0.02143959142267704, 0.011231908574700356 ], [ 0.3701170086860657, 0.15693436563014984, 0.8469823598861694, 0.016716504469513893 ], [ 0.37011855840682983, 0.00291339959949255, 0.01046235952526331, 0.001097935950383544, 0.046530578285455704, 0.012736335396766663, 0.05630902200937271, 0.019613472744822502 ], [ 0.37011778354644775, 0.013234425336122513, 0.03317897021770477, 0.8140974044799805, 0.01125564705580473, 0.0539877787232399, 0.01103127095848322, 0.011582618579268456, 0.0059065683744847775, 0.0012432015500962734 ], [ 0.37011510133743286, 0.005850113462656736, 0.020495310425758362, 0.0249272920191288, 0.018744036555290222, 0.011930177919566631 ], [ 0.3991953730583191, 0.0028913128189742565, 0.011446567252278328, 0.0007270319620147347, 0.08503913879394531, 0.0014886453282088041, 0.015597384423017502, 0.012455301359295845, 0.03271561488509178, 0.015764106065034866 ], [ 0.37011656165122986, 0.01354177761822939, 0.008786222897469997, 0.029215095564723015, 0.01742548495531082, 0.008209328167140484 ], [ 0.3701164722442627, 0.00548783503472805, 0.0020207574125379324, 0.010466142557561398, 0.0012469057692214847, 0.0035418400075286627, 0.00428082374855876, 0.0062118717469275, 0.04416300356388092, 0.02381798066198826 ], [ 0.3701154291629791, 0.006070555187761784, 0.17352865636348724, 0.018609359860420227, 0.013934249989688396, 0.00810497347265482 ], [ 0.3701152503490448, 0.0009374575456604362, 0.008051728829741478, 0.01931632123887539, 0.15211832523345947, 0.002039987361058593, 0.01631377637386322, 0.008598120883107185, 0.011698676273226738 ], [ 0.3701172173023224, 0.006418124306946993, 0.0720304399728775, 0.004536140244454145, 0.007146229036152363, 0.0010384569177404046 ], [ 0.37011465430259705, 0.0025395690463483334, 0.009719820693135262, 0.0006878307904116809, 0.014384519308805466, 0.02089749090373516, 0.003881741315126419, 0.025296615436673164, 0.015983710065484047 ], [ 0.39919790625572205, 0.002891323296353221, 0.006762066390365362, 0.0019137394847348332, 0.043288908898830414, 0.005266234744340181, 0.004222351126372814, 0.03986382856965065, 0.01762828789651394, 0.01777954213321209 ], [ 0.3701155483722687, 0.22171036899089813, 0.014137113466858864, 0.0033324172254651785, 0.0010779789881780744 ], [ 0.3701152503490448, 0.00588067015632987, 0.002207311103120446, 0.022099660709500313, 0.010954782366752625, 0.015103630721569061 ] ] }, { "q_id": "8273_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.08940913528203964, 0.00056654546642676, 0.07644329220056534, 0.0015144776552915573, 0.0028865106869488955, 9.035324910655618e-05, 0.028875505551695824, 0.0002863207191694528, 0.013507830910384655, 0.007098924834281206, 0.00953486654907465, 0.0025664407294243574 ], [ 0.08940866589546204, 0.0008257334702648222, 0.08710357546806335, 0.0027585222851485014, 0.00024112930987030268, 0.01334732212126255, 0.0005008922307752073 ], [ 0.0894097089767456, 0.0005665411008521914, 0.09964299201965332, 0.0016381971072405577, 0.00393063435330987, 0.005085397511720657, 0.0037669092416763306, 0.00028700646362267435, 0.0018169785616919398, 0.013234909623861313, 0.01592365652322769, 0.0009202684741467237 ], [ 0.04368360713124275, 0.013042918406426907, 0.02359621785581112, 0.0004817178996745497 ], [ 0.08940968662500381, 0.000825740396976471, 0.10539032518863678, 0.001984883565455675, 0.0009368940372951329, 0.022909268736839294, 0.02719857729971409, 0.05462608486413956, 0.0004376440483611077 ], [ 0.06595844030380249, 0.02443946711719036, 0.03281380981206894, 0.052731048315763474, 0.015015769749879837, 0.002847161376848817 ], [ 0.08940905332565308, 0.008520725183188915, 0.026046117767691612, 0.03951692581176758, 0.006371587049216032, 0.004875741899013519 ], [ 0.05739078298211098, 0.10366272181272507, 0.002307598479092121 ], [ 0.08940824121236801, 0.0008257350418716669, 0.07594500482082367, 0.0024771718308329582, 0.0011913530761376023, 0.026758961379528046, 0.004320483189076185, 0.006533855572342873 ], [ 0.052953090518713, 0.036352887749671936, 0.07763664424419403, 0.04414018988609314, 0.08606331795454025, 0.01764584518969059 ], [ 0.10462415218353271, 0.00113723985850811, 0.09229346364736557, 0.0024570650421082973, 0.0035224340390414, 0.015697650611400604, 0.0166790634393692, 0.00046952939010225236 ], [ 0.08940939605236053, 0.0008257286972366273, 0.08280034363269806, 0.001635549240745604, 0.003558836178854108, 0.006246579345315695, 0.004566703457385302, 0.0004980466328561306, 0.059848520904779434, 0.000746695848647505, 0.006229464430361986, 0.01896335929632187, 0.021529383957386017, 0.007812062744051218, 0.008548480458557606 ], [ 0.08940722048282623, 0.0008257310837507248, 0.08332061022520065, 0.0017024786211550236, 0.00043596996692940593, 0.012892359867691994, 0.019205709919333458, 0.013429922983050346, 0.015608119778335094, 0.0030416573863476515, 0.01776520535349846, 0.00680196238681674 ], [ 0.08940939605236053, 0.0008257350418716669, 0.08979269117116928, 0.0029132862109690905, 0.0016139430226758122, 0.019278187304735184, 0.01369358692318201, 0.018000053241848946, 0.2395765334367752, 0.002238959539681673, 0.02689194306731224, 0.006349011790007353, 0.0005685260402970016 ], [ 0.08940932899713516, 0.0008257388835772872, 0.07823558151721954, 0.002983860205858946, 0.004840900655835867, 0.0004252470098435879, 0.017644399777054787, 0.0005405097617767751 ], [ 0.08940939605236053, 0.0008257350418716669, 0.0889182835817337, 0.002736780559644103, 0.0018531139940023422, 0.03419138491153717, 0.08329228311777115, 0.14316090941429138, 0.002322406740859151, 0.005001753102988005, 0.00548060005530715 ] ] }, { "q_id": "7781_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15 ], "rewards": [ [ 0.42587044835090637, 0.2401231825351715, 0.0009662616648711264, 0.000610876944847405 ], [ 0.23886404931545258, 0.13585029542446136, 0.00028759700944647193 ], [ 0.8114373087882996, 0.02607744000852108, 0.036009348928928375, 0.04910263791680336, 0.07614672929048538, 0.264956533908844, 0.0003460018488112837 ], [ 0.20251141488552094, 0.002984840190038085, 0.0011416972847655416 ], [ 0.7138190269470215, 0.0011884000850841403, 0.0006788370665162802 ], [ 0.839519739151001, 0.042990460991859436, 0.10565090924501419, 0.001494048279710114, 0.0007632587803527713 ], [ 0.07254909723997116, 0.10465546697378159, 0.0015038505662232637, 0.0008045485592447221 ], [ 0.6084405779838562, 0.0012858735863119364, 0.0007397608133032918 ], [ 0.06022186949849129, 0.09414242208003998, 0.0016013728454709053, 0.0007320803706534207 ], [ 0.19881635904312134, 0.0003177716280333698 ], [ 0.7162973880767822, 0.21693912148475647, 0.0014337323373183608, 0.0008126712637022138 ], [ 0.516301691532135, 0.0013452774146571755, 0.000792637700214982 ], [ 0.9635443091392517, 0.036004580557346344, 0.05550916865468025, 0.01622852310538292, 0.04641413688659668, 0.027724185958504677, 0.0886462852358818, 0.9997541308403015 ], [ 0.9854400753974915, 0.001204253756441176, 0.0007457808242179453 ] ] }, { "q_id": "8597_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8724004030227661, 0.18319742381572723, 0.050750330090522766, 0.25257807970046997, 0.9989639520645142, 0.9996888637542725 ], [ 0.872401237487793, 0.05560414120554924, 0.24139052629470825, 0.43127891421318054, 0.998915433883667, 0.9997523427009583 ], [ 0.8724011182785034, 0.07915463298559189, 0.30584248900413513, 0.3791464567184448, 0.9992873072624207, 0.9998142123222351 ], [ 0.17329907417297363, 0.1615370512008667, 0.9030189514160156, 0.911467969417572, 0.9990296363830566, 0.9997712969779968 ], [ 0.2806672155857086, 0.9350249171257019, 0.9588844776153564, 0.9991618394851685, 0.9997912049293518 ], [ 0.8724005222320557, 0.056127872318029404, 0.24853669106960297, 0.6064506769180298, 0.999288022518158, 0.9998051524162292 ], [ 0.8724004030227661, 0.04943987727165222, 0.0882432758808136, 0.2795654833316803, 0.9989302754402161, 0.9997397065162659 ], [ 0.8724004030227661, 0.07653935998678207, 0.014765750616788864, 0.24242746829986572, 0.8695168495178223, 0.9984478950500488, 0.9998397827148438 ], [ 0.20962804555892944, 0.9447641372680664, 0.9684926867485046, 0.9991995692253113, 0.9997733235359192 ], [ 0.2592954933643341, 0.2608658969402313, 0.890946626663208, 0.9566784501075745 ], [ 0.3906572163105011, 0.943170964717865, 0.9992421865463257, 0.999685525894165 ], [ 0.8839898705482483, 0.10051590204238892, 0.32492175698280334, 0.41995203495025635, 0.873395562171936, 0.9992212057113647, 0.9998518228530884 ], [ 0.8724004030227661, 0.5510498285293579, 0.7332338690757751, 0.9989426732063293, 0.9997507929801941 ], [ 0.8839898705482483, 0.26892250776290894, 0.005799479782581329, 0.12120598554611206, 0.9989758729934692, 0.9996933937072754 ], [ 0.17283610999584198, 0.03129376843571663, 0.7553842067718506, 0.9738445281982422, 0.999387264251709, 0.9998319149017334 ], [ 0.8724007606506348, 0.0021092200186103582, 0.10216422379016876, 0.1624584048986435, 0.0059287697076797485, 0.30619731545448303, 0.10355307906866074, 0.9988182187080383, 0.9997805953025818 ] ] }, { "q_id": "8054_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6017348766326904, 0.0143034178763628, 0.16130803525447845, 0.20916521549224854, 0.028549401089549065, 0.03486433997750282, 0.28602802753448486, 0.0973900705575943, 0.0033844036515802145 ], [ 0.23913654685020447, 0.06955374777317047, 0.0029018523637205362, 0.016689548268914223, 0.024621399119496346, 0.0026568197645246983 ], [ 0.2391364425420761, 0.003442993853241205, 0.21101991832256317, 0.047260042279958725, 0.0364343598484993, 0.003088728990405798 ], [ 0.23913869261741638, 0.051565982401371, 0.016880067065358162, 0.10927728563547134, 0.007206727284938097, 0.08691153675317764, 0.002914965385571122 ], [ 0.6343026161193848, 0.09246750175952911, 0.14295217394828796, 0.23120525479316711, 0.14584022760391235, 0.07729518413543701, 0.003028667299076915 ], [ 0.23913855850696564, 0.004988216329365969, 9.443164162803441e-05, 0.33485451340675354, 0.004182493779808283, 0.029083916917443275, 0.010534428060054779, 0.07063201814889908, 0.003755592042580247 ], [ 0.23913654685020447, 0.0005934524233452976, 0.279297798871994, 0.031110655516386032, 0.17563995718955994, 0.10094602406024933, 0.00304911145940423 ], [ 0.23913654685020447, 0.0008112580981105566, 0.006205925717949867, 0.01134136226028204, 0.0008741453057155013, 0.15079453587532043, 0.45402318239212036, 0.01033339835703373, 0.03481590375304222, 0.18794001638889313, 0.014285693876445293, 0.14814183115959167, 0.003357573878020048 ], [ 0.23913775384426117, 0.000811255828011781, 0.18266545236110687, 0.004535851068794727, 0.0073608895763754845, 0.1094503402709961, 0.008053803816437721, 0.18398639559745789, 0.036218591034412384, 0.07307203859090805, 0.0032442298252135515 ], [ 0.009923710487782955, 0.21135273575782776, 0.005675623193383217, 0.021071501076221466, 0.197702094912529, 0.010389717295765877, 0.10652891546487808, 0.003072152379900217 ], [ 0.06014562398195267, 0.00010654340439941734, 0.002669256180524826, 4.3802076106658205e-05, 0.01805320382118225, 0.00028913799906149507, 0.0004523669776972383, 0.036954618990421295, 0.002989556873217225 ], [ 0.2391367107629776, 0.23554202914237976, 0.05057407543063164, 0.03889242187142372, 0.002725583966821432 ], [ 0.10881897062063217, 0.10897838324308395, 0.21196816861629486, 0.0034010461531579494, 0.029134977608919144, 0.015525097027420998, 0.03723635524511337, 0.0031743026338517666 ], [ 0.2391367107629776, 0.00010015632869908586, 0.2788357734680176, 0.037834879010915756, 0.09397664666175842, 0.09079325944185257, 0.00302135874517262 ], [ 0.14636428654193878, 0.020730752497911453, 0.08878552913665771, 0.0352497436106205, 0.04875636845827103, 0.024372322484850883 ], [ 0.239139586687088, 0.0010190090397372842, 0.011281742714345455, 5.2151313866488636e-05, 0.14048923552036285, 0.0017400376964360476, 0.07510607689619064, 0.39969491958618164, 0.00804479606449604, 0.07936947792768478, 0.0029169588815420866 ] ] }, { "q_id": "8916_mmlu_math", "cot_ids": [ 0, 3, 4, 6, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5434274673461914, 0.044033706188201904, 0.3497433364391327, 0.02129967324435711, 0.15094460546970367, 0.08945871144533157, 0.20762453973293304, 0.00234913919121027, 4.413398346514441e-05, 0.8263208866119385, 0.0035918953362852335, 0.18441833555698395, 0.025660526007413864, 0.0582759827375412, 0.005229230970144272, 0.2594373822212219, 0.013046140782535076 ], [ 0.6491321921348572, 0.028787760064005852, 0.2274981439113617, 0.36729398369789124, 0.02859891951084137, 0.12069615721702576, 0.13173745572566986, 0.07320544123649597, 0.11280333250761032, 0.018781231716275215, 0.08754532039165497, 0.03067719377577305, 0.307349294424057, 0.0033426969312131405, 0.03794165328145027, 0.18998685479164124, 0.09641103446483612, 0.022044608369469643, 0.13059867918491364, 0.20830699801445007, 0.3298165500164032, 0.006541569717228413, 0.17623817920684814, 0.22555069625377655, 0.17708542943000793, 0.016002178192138672, 0.059616830199956894, 0.1699981391429901, 0.00736369239166379 ], [ 0.4794025421142578, 0.05600600689649582, 0.2681732773780823, 0.007301620207726955, 0.14546537399291992, 0.002412236062809825, 0.20272158086299896, 0.035293616354465485, 0.00016426140791736543, 0.15146388113498688, 0.6485223174095154, 0.010321038775146008 ], [ 0.6995092034339905, 0.3876226246356964, 0.008691198192536831, 0.07650592923164368, 0.1706112027168274, 0.052284035831689835, 0.050211068242788315, 0.16733451187610626, 0.09836284816265106, 0.11622205376625061, 0.28133830428123474, 0.0025412391405552626 ], [ 0.5281385183334351, 0.05003464221954346, 0.14149866998195648, 0.31494635343551636, 0.028012583032250404, 0.03841039538383484, 0.1441676765680313, 0.03668403998017311, 0.0833515077829361, 0.02153886668384075, 0.1375187188386917, 0.044567883014678955, 0.18476234376430511, 0.002899558749049902, 0.2827588617801666, 0.7410457730293274, 0.10208237171173096, 0.034059926867485046, 0.04996610805392265, 0.21754604578018188, 0.0009345038561150432, 0.021824659779667854, 0.0008607210475020111, 0.054048653692007065, 0.24971428513526917, 0.01876003108918667, 0.26969361305236816, 0.20985156297683716, 0.008115475066006184 ], [ 0.7108873128890991, 0.07625558972358704, 0.40222540497779846, 0.003233503084629774, 0.19403643906116486, 0.034256428480148315, 0.025735223665833473, 0.03996719792485237, 0.19008344411849976, 0.0027410031761974096 ], [ 0.40948572754859924, 0.0047760698944330215, 0.1805807650089264, 0.00951200257986784, 0.053503744304180145, 0.06413736939430237, 0.0043288953602313995, 0.19286130368709564, 0.011153004132211208, 0.017569277435541153, 0.07783728092908859, 0.0034459989983588457 ], [ 0.6559622287750244, 0.023685524240136147, 0.3315391540527344, 0.8102450370788574, 0.06449760496616364, 0.0014861008385196328, 0.08552217483520508, 0.0015491106314584613, 0.04851435497403145, 0.09667135030031204, 0.029522672295570374, 0.09416185319423676, 0.14211110770702362, 0.12449869513511658, 0.19185449182987213, 0.012574642896652222 ], [ 0.6688014268875122, 0.01358206756412983, 0.21801865100860596, 0.05194619297981262, 0.03566356003284454, 0.2233906239271164, 0.0499897226691246 ], [ 0.5788865685462952, 0.23851777613162994, 0.014813140965998173, 0.3638055920600891, 0.009406943805515766, 0.13923075795173645, 0.0610799714922905, 0.06192992255091667, 0.013218659907579422, 0.09559646248817444, 0.01221547182649374, 0.03847314044833183, 0.12170363962650299, 0.0031702197156846523 ], [ 0.26892271637916565, 0.010068030096590519, 0.06513294577598572, 0.08503899723291397, 0.7998353242874146, 0.0023169529158622026, 0.05393457040190697, 0.01105607021600008, 0.28378739953041077, 0.7984036803245544, 0.01982767879962921 ] ] }, { "q_id": "7993_mmlu_math", "cot_ids": [ 0, 1, 2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14 ], "rewards": [ [ 0.4431655704975128, 0.01728343591094017, 0.17865195870399475, 0.20735332369804382, 0.0046285055577754974, 0.22990140318870544, 0.01885431446135044, 0.027295801788568497, 0.0004317043349146843 ], [ 0.029513245448470116, 0.9644976258277893, 0.9994145631790161 ], [ 0.030362118035554886, 0.11188231408596039, 0.038151420652866364, 0.07016211003065109, 0.3578573167324066, 0.09103231132030487, 0.44713646173477173, 0.005878685507923365, 0.0030888463370501995, 0.0005410269950516522 ], [ 0.7046564221382141, 0.05224018171429634, 0.7070428729057312, 0.05335560068488121, 0.022811075672507286, 0.03567307069897652, 0.00039489060873165727 ], [ 0.3924277722835541, 0.02305660955607891, 0.00032303156331181526 ], [ 0.2732647955417633, 0.06064791604876518, 0.019706781953573227, 0.01751352846622467, 0.0004060881328769028 ], [ 0.42048361897468567, 0.4791898727416992, 0.004416694398969412, 0.0005527077591978014 ], [ 0.04238903895020485, 0.1887880563735962, 0.049785517156124115, 0.012406556867063046, 0.027083132416009903, 0.0004335649427957833 ], [ 0.34171849489212036, 0.27829471230506897, 0.03773597255349159, 0.07683996111154556, 0.017399966716766357, 0.00038042874075472355 ], [ 0.6117761731147766, 0.00031330742058344185 ], [ 0.03163144364953041, 0.1020502895116806, 0.014603259041905403, 0.008047003298997879, 0.028994858264923096, 0.013567094691097736, 0.0025020132306963205, 0.0005001194076612592 ], [ 0.32679760456085205, 0.14197634160518646, 0.013385649770498276, 0.3908233940601349, 0.030425917357206345, 0.9964321851730347 ], [ 0.617649257183075, 0.06546317785978317, 0.09061156213283539, 0.05854928493499756, 0.23348848521709442, 0.9995710253715515 ] ] }, { "q_id": "7727_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.026470419019460678, 0.014945976436138153, 0.0161275677382946, 0.007236942648887634, 0.07862932235002518, 0.08164126425981522, 0.1770709902048111, 0.014699283055961132, 0.11277278512716293, 0.09581385552883148, 0.9070746302604675, 0.03608689457178116 ], [ 0.026470910757780075, 0.08444053679704666, 0.03207020089030266, 0.025127118453383446, 0.02524518221616745, 0.048827141523361206, 0.16658231616020203, 0.03559867665171623, 0.05503436550498009, 0.04520801827311516, 0.9906187653541565, 0.00500146159902215 ], [ 0.026470761746168137, 0.8334580659866333, 0.030023476108908653 ], [ 0.3607441186904907, 0.007470143958926201, 0.019925430417060852, 0.02469385229051113, 0.1045750230550766, 0.04044114425778389, 0.055207837373018265, 0.016697343438863754, 0.15807464718818665, 0.05568158999085426, 0.985266923904419, 0.9981549382209778 ], [ 0.026470838114619255, 0.014408856630325317, 0.027660474181175232, 0.022406958043575287, 0.03366230055689812, 0.05451501905918121, 0.18062280118465424, 0.04028109088540077, 0.18702644109725952, 0.055205557495355606, 0.9691410660743713, 0.9974673986434937, 0.9982378482818604 ], [ 0.03229345381259918, 0.951747715473175, 0.015744425356388092 ], [ 0.026471132412552834, 0.0295453742146492, 0.03447968512773514, 0.022634660825133324, 0.04806450754404068, 0.06229002773761749, 0.07965296506881714, 0.052154432982206345, 0.0462358333170414, 0.03577098250389099, 0.9755885601043701, 0.019922226667404175 ], [ 0.03229333087801933, 0.9149090647697449, 0.016130995005369186 ], [ 0.026471083983778954, 0.05256829783320427, 0.016224045306444168, 0.014621706679463387, 0.03449800983071327, 0.062497399747371674, 0.10212600231170654, 0.044609829783439636, 0.12135787308216095, 0.07476067543029785, 0.9318785071372986, 0.006679958663880825 ], [ 0.9950966238975525, 0.08226802200078964, 0.9967142343521118, 0.9986670017242432 ], [ 0.026470864191651344, 0.049305662512779236, 0.02906087227165699, 0.022404920309782028, 0.01599646359682083, 0.036852143704891205, 0.18159478902816772, 0.02476339414715767, 0.06034618243575096, 0.05323208495974541, 0.9869488477706909, 0.015472413040697575 ], [ 0.026471132412552834, 0.042018771171569824, 0.015396423637866974, 0.013906583189964294, 0.031080028042197227, 0.07005464285612106, 0.14043362438678741, 0.04187281057238579, 0.13271695375442505, 0.07737409323453903, 0.975095808506012, 0.006818017922341824 ], [ 0.026471279561519623, 0.052555572241544724, 0.049324825406074524, 0.028216110542416573, 0.02468566596508026, 0.05918120592832565, 0.11953002214431763, 0.016122959554195404, 0.1304972618818283, 0.06717068701982498, 0.9577445983886719, 0.006098362151533365 ], [ 0.03229333087801933, 0.020264875143766403, 0.05531114712357521, 0.9823259711265564, 0.01724991388618946 ], [ 0.026470715180039406, 0.8938365578651428, 0.017128847539424896 ], [ 0.026470618322491646, 0.7239643931388855, 0.004554483108222485 ] ] }, { "q_id": "8936_mmlu_math", "cot_ids": [ 1, 5, 6, 7, 9, 11, 14, 15 ], "rewards": [ [ 0.08602443337440491, 0.05845016613602638, 0.036730386316776276, 0.13050879538059235, 0.23061545193195343, 0.23164145648479462, 0.35711780190467834, 0.6757065653800964 ], [ 0.08602382987737656, 0.05198925361037254, 0.08530144393444061, 0.062421057373285294, 0.09990973770618439, 0.09226130694150925, 0.030687471851706505, 0.10969073325395584, 0.00029967405134812, 0.29863569140434265 ], [ 0.07556356489658356, 0.019695663824677467 ], [ 0.08602281659841537, 0.0032935834024101496, 0.13512849807739258, 0.0051794229075312614, 0.03004411980509758, 0.00613204762339592, 0.09014490991830826, 0.006470901425927877, 0.04541552811861038, 0.00148645113222301, 0.06828638166189194, 0.07493250072002411 ], [ 0.08602427691221237, 0.004418742842972279, 0.06233257055282593, 0.007792355492711067, 0.12232940644025803, 0.0184622909873724, 0.08904789388179779, 0.006154622882604599, 0.07816614210605621, 0.09068451076745987, 0.01866035722196102, 0.08420737087726593, 0.07277114689350128 ], [ 0.059725113213062286, 0.03578328341245651, 0.19333864748477936, 0.11052870005369186, 0.005023336969316006, 0.1261899471282959, 0.19638995826244354, 0.09259258955717087 ], [ 0.08602409809827805, 0.0034624889958649874, 0.05400285869836807, 0.0045724231749773026, 0.11981310695409775, 0.009672531858086586, 0.09813607484102249, 0.007409467827528715, 0.09110884368419647, 0.00213705375790596, 0.06292110681533813, 0.005144724156707525, 0.04332443326711655, 0.025641335174441338 ], [ 0.08602330088615417, 0.0025556753389537334, 0.061592962592840195, 0.006809350103139877, 0.12070921808481216, 0.029657499864697456, 0.11122490465641022, 0.16262851655483246, 0.4334936738014221, 0.06955504417419434 ] ] }, { "q_id": "8895_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8132957220077515, 0.4837777316570282, 0.9972315430641174, 0.9979128241539001 ], [ 0.7365767955780029, 0.9977783560752869, 0.9980886578559875 ], [ 0.603626549243927, 0.6092826128005981, 0.10747425258159637, 0.17102846503257751, 0.15052518248558044, 0.07350945472717285, 0.098153255879879, 0.19479647278785706, 0.2136484831571579, 0.9914252758026123, 0.991644561290741 ], [ 0.8832240700721741, 0.007103715557605028, 0.8425463438034058, 0.1280396282672882, 0.9963254332542419, 0.9947368502616882 ], [ 0.6449491381645203, 0.9976491332054138, 0.9971656203269958 ], [ 0.6682207584381104, 0.9959731698036194, 0.994714081287384 ], [ 0.8504011034965515, 0.7222397327423096, 0.36112287640571594, 0.9973067045211792, 0.9960654377937317 ], [ 0.813292920589447, 0.4890526235103607, 0.9974033236503601, 0.998084306716919 ], [ 0.7522552609443665, 0.9976043105125427, 0.9953357577323914 ], [ 0.8832234144210815, 0.524651050567627, 0.9984006285667419, 0.9982308745384216 ], [ 0.7177326083183289, 0.9970436692237854, 0.997549831867218 ], [ 0.6956760883331299, 0.9966779947280884, 0.9943462014198303 ], [ 0.7365762591362, 0.9981873631477356, 0.9981154203414917 ], [ 0.6720777153968811, 0.9970293045043945, 0.9963254332542419 ], [ 0.813292920589447, 0.0052596451714634895, 0.6411830186843872, 0.1240198016166687, 0.9954506754875183, 0.9938889741897583 ], [ 0.6920256614685059, 0.998491644859314, 0.9978582262992859 ] ] }, { "q_id": "9014_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.18514296412467957, 0.09946423023939133, 0.08807443082332611, 0.5894266366958618, 0.02233005501329899, 0.03976297006011009, 0.009254558943212032 ], [ 0.16398181021213531, 0.44796717166900635, 0.013778455555438995 ], [ 0.1939692497253418, 0.09602247923612595, 0.02223251387476921, 0.025107698515057564, 0.009095749817788601, 0.01117336843162775 ], [ 0.1939685046672821, 0.10434677451848984, 0.08894509822130203, 0.015901533886790276, 0.0029141216073185205 ], [ 0.28491076827049255, 0.07073294371366501, 0.06768310815095901, 0.9893592596054077, 0.9983251690864563 ], [ 0.30650919675827026, 0.08850570023059845, 0.08620966225862503, 0.9881961941719055, 0.998067319393158 ], [ 0.24795471131801605, 0.07955008000135422, 0.04352123662829399, 0.008877886459231377 ], [ 0.13577251136302948, 0.014517742209136486, 0.5623779892921448, 0.03732224181294441, 0.010289894416928291 ], [ 0.6919391751289368, 0.01226129848510027, 0.0024840980768203735 ], [ 0.24795480072498322, 0.10790147632360458, 0.11824088543653488, 0.06956269592046738, 0.0447966605424881, 0.008689206093549728 ], [ 0.3185235559940338, 0.10233006626367569, 0.08095966279506683, 0.5558356046676636, 0.018198441714048386, 0.03891032561659813, 0.009662105701863766 ], [ 0.2184477001428604, 0.04764976352453232, 0.008902965113520622 ], [ 0.3185235559940338, 0.10922982543706894, 0.02216421253979206, 0.584783136844635, 0.01537469495087862, 0.9881471991539001, 0.9979910850524902 ], [ 0.2597339451313019, 0.10407225042581558, 0.11996938288211823, 0.06711988151073456, 0.06998247653245926, 0.026793431490659714 ], [ 0.11880867183208466, 0.0381762757897377, 0.016847046092152596 ] ] }, { "q_id": "8456_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9925078749656677, 0.9968799352645874, 0.008579472079873085 ], [ 0.6458405256271362, 0.9401291608810425, 0.9967800974845886, 0.012109749019145966 ], [ 0.6573901176452637, 0.9894115328788757, 0.9964004755020142, 0.014625548385083675 ], [ 0.6161168217658997, 0.8270906209945679, 0.9924378991127014, 0.012080884538590908 ], [ 0.6573875546455383, 0.9489971399307251, 0.9969208240509033, 0.00810479000210762 ], [ 0.6458384990692139, 0.9401298761367798, 0.9967800974845886, 0.012110176496207714 ], [ 0.6573907732963562, 0.947647213935852, 0.9957607388496399, 0.010109422728419304 ], [ 0.6573916673660278, 0.9506034851074219, 0.9890015125274658 ], [ 0.9889814853668213, 0.9915270209312439, 0.017265433445572853 ], [ 0.6458378434181213, 0.06450752913951874, 0.8972302675247192, 0.656717836856842, 0.4217749834060669, 0.9962664246559143, 0.014026484452188015 ], [ 0.6573911905288696, 0.9508535861968994, 0.005163251888006926 ], [ 0.6458417773246765, 0.9368928670883179, 0.9973006844520569, 0.014653151854872704 ], [ 0.6458393931388855, 0.16673752665519714, 0.897041380405426, 0.9831506609916687, 0.012045701034367085 ], [ 0.5112625360488892, 0.7021216154098511, 0.6639111638069153, 0.9955247640609741, 0.017154401168227196 ], [ 0.6573911309242249, 0.2288760095834732, 0.8714017271995544, 0.9580444097518921, 0.01079791970551014 ], [ 0.5119854807853699, 0.9443763494491577, 0.4038965404033661, 0.9949525594711304, 0.019183654338121414 ] ] }, { "q_id": "8959_mmlu_math", "cot_ids": [ 3, 6, 7, 14, 15 ], "rewards": [ [ 0.8385210037231445, 0.014551510103046894, 0.0024661163333803415, 0.015097991563379765, 0.0005098043475300074, 0.01657100021839142, 0.013780269771814346, 0.11135473847389221, 0.05275203660130501, 0.04458371922373772, 0.005683343857526779, 0.008360651321709156, 0.029294125735759735, 0.0013788207434117794, 0.0778617188334465, 0.1326885223388672, 0.2787989377975464, 0.7577293515205383, 0.7649553418159485, 0.9988036155700684 ], [ 0.8385210037231445, 0.003413095371797681, 0.03522931784391403, 0.004880683962255716, 0.04091956838965416, 0.012590887024998665, 0.0227268747985363, 0.00039830722380429506, 0.048773933202028275, 0.06032699719071388, 0.015152031555771828, 0.11930129677057266, 0.03180181235074997, 0.00043166230898350477, 0.05328153818845749, 0.13105963170528412, 0.0003282020043116063 ], [ 0.8385238647460938, 0.007895445451140404, 0.005199496168643236, 0.007374857552349567, 0.0003604563244152814, 0.03800424188375473, 0.0018712050514295697, 0.023753665387630463, 0.0075747850351035595, 0.003348051803186536, 0.07521361112594604, 0.092116579413414, 0.08147300034761429, 0.0011364298406988382, 0.13353842496871948, 0.8891225457191467, 0.0007084794342517853 ], [ 0.8002700209617615, 0.012184522114694118, 0.005161931738257408, 0.012418929487466812, 0.0023021989036351442, 0.05655210465192795, 0.01323192659765482, 0.012665241956710815, 0.03663356974720955, 0.0029907224234193563, 0.03331519290804863, 0.012164732441306114, 0.01901017315685749, 0.02090528793632984, 0.0011190829100087285, 0.19507303833961487, 0.19557876884937286, 0.9995656609535217 ], [ 0.8385252356529236, 0.008369269780814648, 0.029143325984477997, 0.007962510921061039, 0.15118376910686493, 0.023322228342294693, 0.002292925724759698, 0.009702591225504875, 0.038922667503356934, 0.0030072350054979324, 0.02588292770087719, 0.014154963195323944, 0.0003801888960879296 ] ] }, { "q_id": "8793_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7997816205024719, 0.8026303052902222, 0.9979610443115234, 0.9999659061431885 ], [ 0.7073841691017151, 0.9997740387916565, 0.999970555305481 ], [ 0.799781322479248, 0.8612508177757263, 0.9977939128875732, 0.9999655485153198 ], [ 0.799784779548645, 0.0014893172774463892, 0.6506563425064087, 0.08397529274225235, 0.9977604150772095, 0.9999669790267944 ], [ 0.88565593957901, 0.0024639680050313473, 0.6791682839393616, 0.08950798213481903, 0.9982123374938965, 0.9999676942825317 ], [ 0.7362980246543884, 0.999650239944458, 0.9999692440032959 ], [ 0.7997825741767883, 0.8768364787101746, 0.9978907704353333, 0.9999638795852661 ], [ 0.799781322479248, 0.9266418814659119, 0.9986535310745239, 0.9999746084213257 ], [ 0.7997806668281555, 0.8026276230812073, 0.9979610443115234, 0.9999659061431885 ], [ 0.4208107590675354, 0.9993976354598999, 0.999971866607666 ], [ 0.799781322479248, 0.8768358826637268, 0.9978907704353333, 0.9999638795852661 ], [ 0.38527676463127136, 0.9992691874504089, 0.9999730587005615 ], [ 0.7997809648513794, 0.8026294708251953, 0.998278021812439, 0.9999690055847168 ], [ 0.4869353771209717, 0.9994440674781799, 0.9999734163284302 ], [ 0.799781322479248, 0.8768358826637268, 0.9978907704353333, 0.9999638795852661 ], [ 0.5235512256622314, 0.9996057152748108, 0.9999687671661377 ] ] }, { "q_id": "8530_mmlu_math", "cot_ids": [ 1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7621861100196838, 0.013034087605774403, 0.005394541658461094, 0.018715273588895798, 0.0473405122756958, 0.05209270119667053, 0.027579987421631813, 0.06777584552764893, 0.3654131293296814, 0.00736183812841773, 0.013553534634411335, 0.03961998224258423, 0.0021891866344958544, 0.0004432403948158026 ], [ 0.1316976100206375, 0.015305119566619396, 0.07309836149215698, 0.05440419912338257, 0.0009447639458812773, 0.00033898200490511954 ], [ 0.7036857604980469, 0.03266577795147896, 0.02368522807955742, 0.003497225930914283, 0.0003441401640884578 ], [ 0.7259833216667175, 0.011825240217149258, 0.00928407907485962, 0.018108172342181206, 0.018149523064494133, 0.03536450117826462, 0.0008497831295244396 ], [ 0.16256289184093475, 0.02294417843222618, 0.021544836461544037, 0.016600891947746277, 0.009139765053987503, 0.04912007972598076, 0.07834786176681519, 0.06334852427244186, 0.03822724521160126, 0.019919537007808685, 0.0025099804624915123, 0.008445865474641323, 0.0005088755860924721 ], [ 0.6710548996925354, 0.07006555050611496, 0.017512865364551544, 0.04384704679250717, 0.03440277650952339, 0.025664828717708588, 0.008072417229413986, 0.000202718103537336 ], [ 0.4351244270801544, 0.03430607542395592, 0.0772521123290062, 0.06546662747859955, 0.039488378912210464, 0.035943083465099335, 0.024217750877141953, 0.030952507629990578, 0.0020638478454202414, 0.0003852481604553759 ], [ 0.7621915936470032, 0.00036833269405178726, 0.020407961681485176, 0.001087027951143682, 0.025777533650398254, 0.0006051945965737104, 0.03158620744943619, 0.0021537768188863993, 0.01695471815764904, 0.003841711673885584, 0.02535061351954937, 0.007824660278856754, 0.030026450753211975, 0.005243006162345409, 0.006582495756447315, 0.0005324084195308387 ], [ 0.17745070159435272, 0.031093165278434753, 0.021793467923998833, 0.032042622566223145, 0.026412591338157654, 0.0435456782579422, 0.032379649579524994, 0.02763969637453556, 0.012305405922234058, 0.057088516652584076, 0.03812463954091072, 0.006143129430711269, 0.0003805068845394999 ], [ 0.7259824275970459, 0.011584447696805, 0.0607045516371727, 0.018558884039521217, 0.023608965799212456, 0.024966416880488396, 0.0012870652135461569, 0.0004122642276342958 ], [ 0.7259829640388489, 0.024770444259047508, 0.025644514709711075, 0.008219277486205101, 0.015298220328986645, 0.007826394401490688, 0.0032115376088768244, 0.00032721972092986107 ], [ 0.7259842753410339, 0.011266318149864674, 0.03570692613720894, 0.03218012675642967, 0.011346250772476196, 0.0024998686276376247, 0.014788449741899967, 0.002553700702264905, 0.0004369431408122182 ], [ 0.7259876132011414, 0.007453154772520065, 0.023865990340709686, 0.01593816839158535, 0.03597905859351158, 0.015480187721550465, 0.004791011568158865, 0.0003099939785897732 ] ] }, { "q_id": "7736_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5904393196105957, 0.37624892592430115, 0.9926536083221436, 0.9964587092399597 ], [ 0.8361578583717346, 0.45149075984954834, 0.9930221438407898, 0.9975971579551697 ], [ 0.7600868940353394, 0.9942314624786377, 0.9980450868606567 ], [ 0.8361600041389465, 0.4112153649330139, 0.9928807020187378, 0.9974759221076965 ], [ 0.8361600041389465, 0.4514904022216797, 0.992770254611969, 0.997266411781311 ], [ 0.8361631631851196, 0.4519704580307007, 0.9923507571220398, 0.9974754452705383 ], [ 0.8361608982086182, 0.4002295732498169, 0.9939019680023193, 0.9975619316101074 ], [ 0.75447678565979, 0.4032423198223114, 0.4857598841190338, 0.9930410385131836, 0.9975470900535583 ], [ 0.8361607789993286, 0.43864086270332336, 0.9925625920295715, 0.997409999370575 ], [ 0.8361607789993286, 0.4514898359775543, 0.9935845732688904, 0.9976931214332581 ], [ 0.7544736862182617, 0.40324071049690247, 0.5010039806365967, 0.9914094805717468, 0.9976020455360413 ], [ 0.8361608982086182, 0.4514899253845215, 0.9930220246315002, 0.9975971579551697 ], [ 0.8361613154411316, 0.4347837269306183, 0.9922886490821838, 0.9973869919776917 ], [ 0.8361607789993286, 0.9934955835342407, 0.9973843693733215 ], [ 0.8361607789993286, 0.43864086270332336, 0.9913841485977173, 0.9971036314964294 ], [ 0.8361555933952332, 0.4386349320411682, 0.9937500357627869, 0.9975948929786682 ] ] }, { "q_id": "8063_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6739316582679749, 0.04648907110095024, 0.3164774477481842, 0.039963431656360626, 0.1882842481136322, 0.0804518535733223, 0.0006117138545960188, 0.4537816047668457, 0.18377195298671722, 0.12050681561231613, 0.022019896656274796, 0.0016872492851689458 ], [ 0.3399665057659149, 0.1672344207763672, 0.034453678876161575, 0.04458164796233177, 0.22131355106830597, 0.568211019039154, 0.00286685349419713 ], [ 0.009753392077982426, 0.0019167637219652534 ], [ 0.6739323139190674, 0.03797417879104614, 0.010353987105190754, 0.047850389033555984, 0.014253782108426094, 0.14477521181106567, 0.03216361626982689, 0.03404512256383896, 0.007887879386544228, 0.0036518587730824947, 0.0011413291795179248 ], [ 0.6739312410354614, 0.046488627791404724, 0.2326500564813614, 0.03221435844898224, 0.14272534847259521, 0.00015092101239133626, 0.5359054207801819, 0.05621298775076866, 0.04826470464468002, 0.024938838556408882, 0.06337415426969528, 0.07323430478572845, 0.040196966379880905, 0.001659406814724207, 0.0016520983772352338 ], [ 0.3725806474685669, 0.03763226792216301, 0.029890896752476692, 0.007151362951844931, 0.0021191411651670933, 0.0015618600882589817 ], [ 0.6739321947097778, 0.024936193600296974, 0.03760024532675743, 0.3377308249473572, 0.07287555932998657, 0.017600135877728462, 0.009108837693929672, 0.09299886971712112, 0.0010996158234775066, 0.007853740826249123, 0.11581708490848541, 0.12377472966909409, 0.9945051074028015 ], [ 0.23055225610733032, 0.147225484251976, 0.035365283489227295, 0.00225926679559052 ], [ 0.6739317774772644, 0.19552011787891388, 0.08702497184276581, 0.15477494895458221, 0.039257921278476715, 0.14356444776058197, 0.012035401538014412, 0.23180870711803436, 0.17480716109275818, 0.16532151401042938, 0.9959068298339844 ], [ 0.15993820130825043, 0.004740990698337555, 0.0016068975673988461 ], [ 0.6739317774772644, 0.22892270982265472, 0.19203656911849976, 0.44975361227989197, 0.023435981944203377, 0.07013843953609467, 0.1795298457145691, 0.07204487919807434, 0.05395457148551941, 0.0020909837912768126 ], [ 0.7731544375419617, 0.047207076102495193, 0.453782320022583, 0.023491375148296356, 0.028246916830539703, 0.0044246274046599865, 0.5003726482391357, 0.18212120234966278, 0.04145139455795288, 0.0694199949502945, 0.09008998423814774, 0.033060066401958466, 0.17765729129314423, 0.004033696372061968, 0.011687291786074638, 0.015017583966255188, 0.009351056069135666, 0.000910564383957535 ], [ 0.6346690654754639, 0.02668653428554535, 0.08037551492452621, 0.04190853610634804, 0.0027708588168025017, 0.011843619868159294, 0.001171904499642551 ], [ 0.21030716598033905, 0.0031277763191610575 ], [ 0.6739326119422913, 0.04026981070637703, 0.0767616257071495, 0.02607649751007557, 0.06637345254421234, 0.10527905821800232, 0.003922637552022934, 0.006496813613921404, 0.0034443684853613377, 0.0019890149123966694 ] ] }, { "q_id": "9039_mmlu_math", "cot_ids": [ 1, 5, 7, 8, 9, 10, 11, 13 ], "rewards": [ [ 0.899442195892334, 0.0020312860142439604, 0.01336860191076994, 0.006111532915383577, 0.02916758507490158, 0.005111316218972206, 0.010753798298537731, 0.02444237843155861, 0.029369186609983444, 0.028467416763305664, 0.007889889180660248, 0.05444991588592529, 0.00034384819446131587 ], [ 0.8994397521018982, 0.0009885845938697457, 0.04505293443799019, 0.0012791355838999152, 0.02656591683626175, 0.001217674813233316, 0.016853665933012962, 0.0012127161026000977, 0.00730948755517602, 0.02875484898686409, 0.008869841694831848, 0.009184112772345543, 0.013437241315841675, 0.011939089745283127, 0.010785345919430256, 0.0005527970497496426, 0.001861809752881527 ], [ 0.8994408249855042, 0.0012695621699094772, 0.017909273505210876, 0.015253741294145584, 0.2514411509037018, 0.017764149233698845, 0.007063748314976692, 0.051924094557762146, 0.08474572002887726, 0.01587301678955555, 0.0466855950653553, 0.018745869398117065, 0.003741071093827486, 0.07274091243743896, 0.004129840061068535, 0.10561703145503998, 0.017821142449975014, 0.007285211235284805, 0.004292897414416075, 0.0003509082889650017 ], [ 0.8865945339202881, 0.0018467718036845326, 0.0033082596492022276, 0.02217342145740986, 0.007034987211227417, 0.0038739058654755354, 0.033253349363803864, 0.04660296440124512, 0.01788475178182125, 0.003834451548755169, 0.23941288888454437, 0.06266249716281891, 0.019221670925617218, 0.03836146369576454, 0.013619368895888329, 0.00621251342818141, 0.002334065269678831, 0.0005073695792816579 ], [ 0.8994414210319519, 0.0025502461940050125, 0.024376358836889267, 0.011271588504314423, 0.05167204886674881, 0.008497524075210094, 0.004043913446366787, 0.004917192738503218, 0.005327720195055008, 0.0003898657741956413 ], [ 0.8994420170783997, 0.003467156318947673, 0.002632217248901725, 0.024588201195001602, 0.00840374268591404, 0.074706070125103, 0.0424467958509922, 0.031019970774650574, 0.013468199409544468, 0.01911744475364685, 0.008755546063184738, 0.006396728567779064, 0.022061165422201157, 0.00037539922050200403 ], [ 0.8994423747062683, 0.0020312373526394367, 0.005262743681669235, 0.02748885005712509, 0.002956867916509509, 0.09292954951524734, 0.01039128564298153, 0.026677319779992104, 0.03877133131027222, 0.0066063860431313515, 0.1425292044878006, 0.058502912521362305, 0.01918983645737171, 0.0066587296314537525, 0.03449421003460884, 0.0003045641933567822 ], [ 0.8994393944740295, 0.0020312529522925615, 0.0037281943950802088, 0.0283307246863842, 0.00923557672649622, 0.04398646205663681, 0.01214861311018467, 0.0019081024220213294, 0.056092970073223114, 0.015746505931019783, 0.0162515752017498, 0.020518088713288307, 0.00673197116702795, 0.008144965395331383, 0.0004171880427747965 ] ] }, { "q_id": "8586_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9732427597045898, 0.00016069116827566177, 0.07679739594459534, 8.874956984072924e-05, 0.9988448619842529, 0.9999107122421265 ], [ 0.9732426404953003, 0.07798095047473907, 0.9984332919120789, 0.9998016953468323 ], [ 0.9865308403968811, 0.00011532353528309613, 0.0469997338950634, 9.99269905150868e-05, 0.3613314926624298, 0.9995256662368774, 0.9999231100082397 ], [ 0.9732425212860107, 0.00016069116827566177, 0.07762564718723297, 0.0001997277868213132, 0.996062695980072, 0.9996993541717529 ], [ 0.9622686505317688, 0.0005735991289839149, 0.014880954287946224, 0.9988839030265808, 0.9999284744262695 ], [ 0.9699876308441162, 0.0001623981661396101, 0.06342954188585281, 0.00041202318971045315, 0.9989978671073914, 0.9999141693115234 ], [ 0.976228654384613, 0.00010957648191833869, 0.07276448607444763, 7.784423360135406e-05, 0.5412148237228394, 0.998658299446106, 0.9998822212219238 ], [ 0.2671267092227936, 0.5768939256668091, 0.9973536729812622, 0.9998002648353577 ], [ 0.9732425212860107, 0.0005595363327302039, 0.02903776802122593, 0.00023840347421355546, 0.9989233613014221, 0.999907374382019 ], [ 0.9762287735939026, 9.222172957379371e-05, 0.07129817456007004, 6.838483386673033e-05, 0.37971749901771545, 0.046638425439596176, 0.9984484910964966, 0.9999070167541504 ], [ 0.9732426404953003, 0.0009906021878123283, 0.047180041670799255, 0.36231014132499695, 0.9965268969535828, 0.9998766183853149 ], [ 0.9732426404953003, 0.0009905974147841334, 0.05307280644774437, 0.38736099004745483, 0.9968810081481934, 0.9996803998947144, 0.9998960494995117 ], [ 0.9865308403968811, 0.0005345807294361293, 0.07003534585237503, 0.4722430109977722, 0.9967214465141296, 0.9998584985733032 ], [ 0.9611775875091553, 0.013231884688138962, 0.9991970658302307, 0.9999256134033203 ], [ 0.9732426404953003, 0.016207434237003326, 0.998362123966217, 0.9997761845588684 ], [ 0.0011855429038405418, 0.03419075533747673, 0.00038034256431274116, 0.9992461204528809, 0.9999206066131592 ] ] }, { "q_id": "8902_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4198470115661621, 0.0024160118773579597, 0.027002058923244476, 0.023308049887418747, 0.10955049842596054, 0.9873127341270447, 0.9990204572677612 ], [ 0.2977588176727295, 0.9827142357826233, 0.9947472214698792 ], [ 0.46178963780403137, 0.005633589345961809, 0.018262354657053947, 0.988651692867279, 0.9964828491210938 ], [ 0.2573913037776947, 0.26707425713539124, 0.9922613501548767, 0.9975162744522095 ], [ 0.257392019033432, 0.4025863707065582, 0.9904727339744568, 0.9987825751304626 ], [ 0.024722879752516747, 0.05502266436815262, 0.23283788561820984, 0.403268963098526, 0.9984797835350037, 0.9994679093360901 ], [ 0.4198472499847412, 0.6641290783882141, 0.040989335626363754, 0.9921308159828186, 0.998065173625946 ], [ 0.461791068315506, 0.003591284854337573, 0.09870333969593048, 0.04775521159172058, 0.18378539383411407, 0.9918192625045776, 0.998887836933136 ], [ 0.39882904291152954, 0.003403526498004794, 0.1089504212141037, 0.007533858995884657, 0.974292516708374, 0.995800793170929 ], [ 0.024722732603549957, 0.05610029399394989, 0.29419538378715515, 0.587518036365509, 0.9979178309440613, 0.9991883635520935 ], [ 0.39882904291152954, 0.0024420644622296095, 0.0287025049328804, 0.0034878829028457403, 0.12823231518268585, 0.053179118782281876, 0.9882659316062927, 0.9981693029403687 ], [ 0.4198458790779114, 0.5721864104270935, 0.9979116320610046, 0.9992266893386841 ], [ 0.25739502906799316, 0.9971014857292175, 0.9993780851364136 ], [ 0.3988302946090698, 0.002442071447148919, 0.06997916847467422, 0.05071160942316055, 0.1741650253534317, 0.9875442981719971, 0.9981505274772644 ], [ 0.024722637608647346, 0.051668453961610794, 0.29335635900497437, 0.5828515291213989, 0.9988293051719666, 0.9996403455734253 ], [ 0.25739187002182007, 0.9940710663795471, 0.9983616471290588 ] ] }, { "q_id": "8853_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8420030474662781, 0.721362292766571, 0.4591275453567505, 0.9908332228660583, 0.9976813793182373 ], [ 0.0448530912399292, 0.1658225804567337, 0.012017310597002506, 0.17453034222126007, 0.16737397015094757, 0.9793175458908081, 0.9862581491470337 ], [ 0.0385168083012104, 0.11969774961471558, 0.01339647825807333, 0.25236669182777405, 0.3247389793395996, 0.0065509844571352005, 0.03402981907129288, 0.0008704557549208403, 0.4029013514518738, 0.0581854023039341, 0.9777500033378601, 0.9940991401672363 ], [ 0.6293116211891174, 0.6125938892364502, 0.0350872278213501, 0.43185219168663025, 0.7786924839019775, 0.09711292386054993, 0.9964545965194702, 0.9993434548377991 ], [ 0.9490460157394409, 0.08379973471164703, 0.38710254430770874, 0.23410317301750183, 0.5944734215736389, 0.9971534013748169, 0.9994139671325684 ], [ 0.3910944163799286, 0.10668377578258514, 0.43491172790527344, 0.0799126923084259, 0.3205386698246002, 0.3794821500778198, 0.6338085532188416, 0.09638678282499313, 0.9961978793144226, 0.9995777010917664 ], [ 0.3915117084980011, 0.017158759757876396, 0.27713069319725037, 0.08869603276252747, 0.038518186658620834, 0.18025796115398407, 0.004636394325643778, 0.010315239429473877, 0.06908078491687775, 0.18053066730499268, 0.2954162657260895, 0.4148503243923187, 0.026279401034116745, 0.9929920434951782, 0.9993798732757568 ], [ 0.27272871136665344, 0.3641635477542877, 0.08483193814754486, 0.26420918107032776, 0.4199155271053314, 0.5833759307861328, 0.10830327868461609, 0.9965589642524719, 0.9989140033721924, 0.9995396137237549 ], [ 0.03104487806558609, 0.025329332798719406, 0.15412718057632446, 0.044122807681560516, 0.26044484972953796, 0.07790853083133698, 0.9762639999389648, 0.9932885766029358 ], [ 0.7417513132095337, 0.09130140393972397, 0.8527995347976685, 0.06487573683261871, 0.9930082559585571, 0.9986253976821899 ], [ 0.5543820858001709, 0.10672491043806076, 0.22124674916267395, 0.0716014951467514, 0.9799947142601013, 0.9917795062065125 ], [ 0.43732959032058716, 0.018256081268191338, 0.2835998833179474, 0.09357558935880661, 0.05121941864490509, 0.2620738744735718, 0.05961346626281738, 0.09980190545320511, 0.038018643856048584, 0.18837414681911469, 0.38173824548721313, 0.43771567940711975, 0.03934365510940552, 0.9929903745651245, 0.9993934631347656 ], [ 0.4389154016971588, 0.11493851244449615, 0.994005560874939, 0.9983838796615601 ], [ 0.4726250171661377, 0.03985030576586723, 0.01278674602508545, 0.17025309801101685, 0.18947738409042358, 0.005409655161201954, 0.05600295960903168, 0.0014808605192229152, 0.34171634912490845, 0.0352986678481102, 0.9819021224975586, 0.994985818862915 ], [ 0.6168996691703796, 0.8325116634368896, 0.13274094462394714, 0.9953558444976807, 0.9990326166152954 ], [ 0.3796483278274536, 0.9976487755775452, 0.9994427561759949 ] ] }, { "q_id": "7854_mmlu_math", "cot_ids": [ 0, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.008289587683975697, 0.043750591576099396, 0.032492853701114655, 0.019777003675699234, 0.008041462861001492, 0.014634163118898869, 0.019385354593396187, 0.036785077303647995, 0.045110270380973816, 0.07381583005189896, 0.01650063693523407, 0.24829789996147156, 0.025441348552703857, 0.10166136920452118, 0.027376465499401093, 0.9856825470924377, 0.14580480754375458, 0.08995084464550018, 0.12081305682659149, 0.041101306676864624, 0.020771924406290054 ], [ 0.016386646777391434, 0.056669678539037704, 0.035794295370578766, 0.05998039245605469, 0.011574121192097664, 0.059753742069005966, 0.019674327224493027, 0.028375785797834396, 0.0012242385419085622, 0.002993305679410696 ], [ 0.057275764644145966, 0.06421665102243423, 0.040334269404411316, 0.045226212590932846, 0.01628783345222473, 0.09061554074287415, 0.007786576170474291, 0.05906767025589943, 0.9601649641990662, 0.05631191283464432, 0.02558276616036892, 0.002257390646263957, 0.0024980853777378798 ], [ 0.03630998358130455, 0.05354335904121399, 0.01628885045647621, 0.01822950318455696, 0.018979957327246666, 0.001376894535496831 ], [ 0.038174018263816833, 0.019786925986409187, 0.024037709459662437, 0.023510996252298355, 0.0014370812568813562 ], [ 0.0405164510011673, 0.003150480566546321, 0.05585230141878128, 0.0408366359770298, 0.025518786162137985, 0.008306306786835194, 0.015112406574189663, 0.025998052209615707, 0.049834243953228, 0.025885852053761482, 0.07321889698505402, 0.024914085865020752, 0.05692927539348602, 0.039902664721012115, 0.050031471997499466, 0.010445105843245983, 0.06675229966640472, 0.07978270947933197, 0.01206597127020359, 0.011731525883078575 ], [ 0.04051670804619789, 0.02090108022093773, 0.017478879541158676, 0.0535229928791523, 0.2171621322631836, 0.6722390055656433, 0.1006564050912857, 0.041587699204683304, 0.0010884718503803015 ], [ 0.024326501414179802, 0.17382360994815826, 0.00857042521238327, 0.18565836548805237, 0.012955158948898315, 0.25430020689964294, 0.0343051478266716, 0.06516914069652557, 0.9446056485176086, 0.04739703610539436, 0.03343307599425316, 0.016465095803141594 ], [ 0.19132700562477112, 0.025582052767276764, 0.1131928414106369, 0.009243901818990707, 0.1668960005044937, 0.017362495884299278, 0.08384151011705399, 0.9895992279052734, 0.050526633858680725, 0.03408120945096016, 0.01571740210056305 ], [ 0.23771120607852936, 0.05291958525776863, 0.0253972876816988, 0.043339893221855164, 0.13721738755702972 ], [ 0.0341995544731617, 0.05121752247214317, 0.02931303158402443, 0.030010690912604332, 0.008450635708868504, 0.01490202359855175, 0.028834939002990723, 0.04364997521042824, 0.02015233226120472, 0.13805922865867615, 0.009854000993072987, 0.10234596580266953, 0.9577516913414001, 0.10556164383888245, 0.06317374110221863, 0.02606695517897606, 0.04026518762111664 ], [ 0.04437987506389618, 0.017627594992518425, 0.013984710909426212, 0.03547458350658417, 0.0013471441343426704 ], [ 0.22845347225666046, 0.004643529653549194, 0.01959998719394207, 0.0008535307133570313, 0.0001440679479856044, 0.03132817894220352, 0.016191057860851288, 0.004662700928747654, 0.01590384729206562, 0.05675439536571503, 0.016633788123726845, 0.01244544517248869 ], [ 0.007023721467703581, 0.09510771930217743, 0.04267526790499687, 0.04982254281640053, 0.013658711686730385, 0.17223238945007324, 0.00939983781427145, 0.07233695685863495, 0.022135097533464432, 0.9946892261505127, 0.19028502702713013, 0.06514152139425278, 0.1004503145813942, 0.0340496227145195, 0.016017381101846695 ] ] }, { "q_id": "8624_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.05760886147618294, 0.029718058183789253, 0.04874754697084427, 0.8775268197059631, 0.008034821599721909 ], [ 0.03296457231044769, 0.8800134062767029, 0.007622710429131985 ], [ 0.08118502050638199, 0.03250629082322121, 0.05065103992819786, 0.9527600407600403, 0.005607323721051216 ], [ 0.08153215050697327, 0.0339227095246315, 0.06369286775588989, 0.9100693464279175, 0.011649442836642265 ], [ 0.10966567695140839, 0.04989657178521156, 0.08356692641973495, 0.957333505153656, 0.006709285546094179 ], [ 0.12445047497749329, 0.044082701206207275, 0.08325745165348053, 0.9553362727165222, 0.9948358535766602 ], [ 0.02381647564470768, 0.7397581934928894, 0.9792800545692444, 0.004627930000424385 ], [ 0.002413676818832755, 0.028559546917676926, 0.05573398619890213, 0.9491314888000488, 0.006763007957488298 ], [ 0.34939029812812805, 0.014142617583274841, 0.046498630195856094, 0.035365283489227295, 0.08026240766048431, 0.050747498869895935, 0.9311485886573792, 0.007793181575834751 ], [ 0.22649754583835602, 0.040695469826459885, 0.0550263375043869, 0.9657766222953796, 0.9940961599349976 ], [ 0.12445072084665298, 0.03557954356074333, 0.07050713896751404, 0.9028526544570923, 0.9875841736793518 ], [ 0.31501755118370056, 0.012846610508859158, 0.947354257106781, 0.003854470094665885 ], [ 0.03383833169937134, 0.031246578320860863, 0.06269204616546631, 0.8848913311958313, 0.008011243306100368 ], [ 0.09609691053628922, 0.9560520052909851, 0.0062983063980937 ], [ 0.0811844915151596, 0.039273735135793686, 0.10760091990232468, 0.9404900670051575, 0.011045643128454685 ], [ 0.0234121922403574, 0.048793893307447433, 0.07720653712749481, 0.9507476091384888, 0.011870781891047955 ] ] }, { "q_id": "8014_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5152159333229065, 0.048292312771081924, 0.6440967321395874, 0.9135918617248535, 0.02053919993340969, 0.9935964345932007, 0.9991111159324646 ], [ 0.5152180790901184, 0.404433012008667, 0.403843492269516, 0.9758209586143494, 0.9988489151000977 ], [ 0.5152145028114319, 0.3572703003883362, 0.594584584236145, 0.987595796585083, 0.999198853969574 ], [ 0.5152173638343811, 0.4595045745372772, 0.3264150619506836, 0.9396359324455261, 0.9983945488929749 ], [ 0.5152159333229065, 0.035523612052202225, 0.8479871153831482, 0.23246954381465912, 0.2114584743976593, 0.022620953619480133, 0.9595723152160645, 0.9991708993911743 ], [ 0.07361701130867004, 0.8929489254951477, 0.2352929413318634, 0.9851399064064026, 0.9992177486419678 ], [ 0.5152180790901184, 0.39786848425865173, 0.7524158954620361, 0.2886775732040405, 0.0014861171366646886, 0.9794161319732666, 0.9983776807785034 ], [ 0.51521235704422, 0.035523414611816406, 0.7585780620574951, 0.05673765018582344, 0.6891276836395264, 0.007093713618814945, 0.9815897345542908, 0.9990049004554749 ], [ 0.9900111556053162, 0.8908021450042725, 0.9954352974891663, 0.9987900853157043 ], [ 0.5152142643928528, 0.03552338108420372, 0.6899637579917908, 0.2847397029399872, 0.49428820610046387, 0.010785580612719059, 0.9842842817306519, 0.9988662004470825 ], [ 0.5152130722999573, 0.5958235263824463, 0.8829290270805359, 0.9422188997268677, 0.003621606156229973, 0.9766096472740173, 0.9989252686500549 ], [ 0.2998887002468109, 0.6904196739196777, 0.24053218960762024, 0.9887779355049133, 0.9991082549095154 ], [ 0.5152187943458557, 0.03552354499697685, 0.7520008087158203, 0.22192002832889557, 0.1951037496328354, 0.022736217826604843, 0.9748886823654175, 0.9991291165351868 ], [ 0.5152130722999573, 0.03594944626092911, 0.7022325992584229, 0.9303089380264282, 0.993559718132019, 0.9986681938171387 ], [ 0.5152180790901184, 0.8278757333755493, 0.1965629607439041, 0.9870077967643738, 0.9992823004722595 ] ] }, { "q_id": "8435_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.00979419331997633, 0.0007101162918843329, 0.009189043194055557, 0.020563321188092232, 0.07369300723075867, 0.010085909627377987 ], [ 0.010612738318741322, 0.011177340522408485, 0.045669544488191605, 0.011820944957435131 ], [ 0.010612738318741322, 0.0010076349135488272, 0.0024900746066123247, 0.008188414387404919, 0.008282114751636982, 0.02302470989525318, 0.008881338872015476 ], [ 0.7131311297416687, 0.2503499984741211, 0.6825333833694458, 0.048408087342977524, 0.0246239323168993 ], [ 0.009316638112068176, 0.007491404190659523, 0.05095571652054787, 0.009092045947909355 ], [ 0.26569613814353943, 0.2935245931148529, 0.01632639206945896 ], [ 0.7373151779174805, 0.02050931192934513, 0.01591379940509796 ], [ 0.9563452005386353, 0.8346723318099976, 0.6486716270446777, 0.02038522996008396 ], [ 0.009704828262329102, 0.38067105412483215, 0.5400530695915222, 0.019466247409582138 ], [ 0.00931661669164896, 0.5381328463554382, 0.6631802320480347, 0.04517606645822525 ], [ 0.009912289679050446, 0.006599114742130041, 0.031957171857357025, 0.015032881870865822, 0.007145230658352375 ], [ 0.010884817689657211, 0.005276008043438196, 0.007983465678989887, 0.10430465638637543, 0.20405682921409607, 0.01220961008220911 ], [ 0.010612827725708485, 0.0010076584294438362, 0.0065042260102927685, 0.009066850878298283, 0.0030412916094064713, 0.4584294259548187, 0.013065415434539318 ], [ 0.011214202269911766, 0.009866807609796524, 0.04097837209701538, 0.042819518595933914, 0.00998892541974783, 0.010199084877967834 ], [ 0.008667857386171818, 0.04567396640777588, 0.008975841104984283 ], [ 0.019821619614958763, 0.03232739865779877, 0.007377793546766043 ] ] }, { "q_id": "7733_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9135947823524475, 0.21183156967163086, 0.9935579895973206, 0.9986587762832642 ], [ 0.5203067660331726, 0.1718715876340866, 0.6407666802406311, 0.21251656115055084, 0.16836532950401306, 0.9982360601425171, 0.9995680451393127 ], [ 0.520306408405304, 0.21251365542411804, 0.577877402305603, 0.22353103756904602, 0.29062995314598083, 0.9959412813186646, 0.9990577101707458 ], [ 0.39412978291511536, 0.5557663440704346, 0.21263083815574646, 0.2678186595439911, 0.9949414134025574, 0.9991195797920227 ], [ 0.9987761378288269, 0.999524712562561 ], [ 0.36144784092903137, 0.6048631072044373, 0.632797122001648, 0.16767455637454987, 0.43022602796554565, 0.1676388829946518, 0.9990217685699463, 0.999722421169281 ], [ 0.3848106563091278, 0.5748618245124817, 0.2550443708896637, 0.9979140162467957, 0.9990986585617065 ], [ 0.24868686497211456, 0.6370044350624084, 0.4834050238132477, 0.18755047023296356, 0.1974443644285202, 0.9987735152244568, 0.9997054934501648 ], [ 0.785953164100647, 0.9990645051002502, 0.999643087387085 ], [ 0.38481077551841736, 0.11817324906587601, 0.4337425231933594, 0.11407365649938583, 0.5799370408058167, 0.20051003992557526, 0.9991624355316162, 0.9997301697731018 ], [ 0.9164961576461792, 0.9973664879798889, 0.9991469383239746 ], [ 0.3848106563091278, 0.2909998595714569, 0.996299684047699, 0.9989022016525269 ], [ 0.3848097622394562, 0.3999977111816406, 0.49203604459762573, 0.24766245484352112, 0.20319093763828278, 0.17105475068092346, 0.998623251914978, 0.9995520710945129 ], [ 0.39794525504112244, 0.7405182123184204, 0.25734609365463257, 0.31504225730895996, 0.2906428575515747, 0.9990414977073669, 0.9997406601905823 ], [ 0.38481077551841736, 0.5404146313667297, 0.2247850000858307, 0.3536560535430908, 0.1284327656030655, 0.9983536005020142, 0.9995070695877075 ], [ 0.9986258745193481, 0.9993380904197693 ] ] }, { "q_id": "8450_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9772704243659973, 0.39301663637161255, 0.99839848279953, 0.9996461868286133 ], [ 0.9781485795974731, 0.39372554421424866, 0.009544264525175095 ], [ 0.9793382287025452, 0.37496984004974365, 0.9984361529350281, 0.9996445178985596 ], [ 0.969103217124939, 0.3783961534500122, 0.9986335635185242, 0.9996751546859741 ], [ 0.9613906145095825, 0.4178549349308014, 0.9993740916252136, 0.9997274279594421 ], [ 0.976833701133728, 0.39498966932296753, 0.9983310103416443, 0.999636173248291 ], [ 0.9732511043548584, 0.38570860028266907, 0.9986613988876343, 0.9996484518051147 ], [ 0.9787129163742065, 0.3641418218612671, 0.9984544515609741, 0.9993706345558167 ], [ 0.9787130355834961, 0.3876483738422394, 0.9984443783760071, 0.999624490737915 ], [ 0.9588135480880737, 0.38341423869132996, 0.9982865452766418, 0.9992921352386475 ], [ 0.9642394185066223, 0.4068848788738251, 0.7615630030632019, 0.9962221384048462 ], [ 0.9790321588516235, 0.45762237906455994, 0.7183930277824402, 0.9966936111450195 ], [ 0.9787130355834961, 0.3353564739227295, 0.9984756112098694, 0.9996490478515625 ], [ 0.9613906145095825, 0.4178549349308014, 0.9986900687217712, 0.9996563196182251 ], [ 0.9631426930427551, 0.36843523383140564, 0.9985785484313965, 0.9997014403343201 ], [ 0.9600210189819336, 0.3632659316062927, 0.9992652535438538, 0.9997318387031555 ] ] }, { "q_id": "8022_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5874441862106323, 0.9860131144523621, 0.8156081438064575 ], [ 0.5874441862106323, 0.9860131144523621, 0.8156081438064575 ], [ 0.30176517367362976, 0.9810734987258911, 0.36317378282546997 ], [ 0.9862492680549622, 0.17973217368125916 ], [ 0.5954169631004333, 0.9819769859313965, 0.48749467730522156 ], [ 0.5874485373497009, 0.9821704626083374, 0.6948185563087463 ], [ 0.29573360085487366, 0.9821237921714783, 0.7159302234649658 ], [ 0.5116127133369446, 0.9839287996292114, 0.6846023797988892 ], [ 0.5874467492103577, 0.9818093776702881, 0.6512962579727173 ], [ 0.3017668128013611, 0.9791973233222961, 0.5434393882751465 ], [ 0.5874467492103577, 0.9839383959770203, 0.6960280537605286 ], [ 0.9859420657157898, 0.11484237015247345 ], [ 0.5874467492103577, 0.9821704626083374, 0.6948102712631226 ], [ 0.9901566505432129, 0.9542180299758911 ], [ 0.5673240423202515, 0.986547589302063, 0.8106743693351746 ], [ 0.9911683797836304, 0.3716032803058624 ] ] }, { "q_id": "7802_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3945489823818207, 0.04114238917827606, 0.8541312217712402, 0.0008586043841205537 ], [ 0.2948274612426758, 0.6807575821876526, 0.9501972198486328, 0.848715603351593 ], [ 0.2369089275598526, 0.015929412096738815, 0.9655394554138184, 0.7262713313102722 ], [ 0.23690876364707947, 0.5746341943740845, 0.000991629553027451 ], [ 0.23690515756607056, 0.01574712060391903, 0.9691842794418335, 0.0006550062098540366 ], [ 0.1576828956604004, 0.96834397315979, 0.0007801136234775186 ], [ 0.10783474892377853, 0.6592327356338501, 0.9064854383468628, 0.0007772226817905903 ], [ 0.21065321564674377, 0.6952725648880005, 0.0007691643550060689, 0.0013783802278339863 ], [ 0.23690876364707947, 0.9842867851257324, 0.0005738944164477289 ], [ 0.47485342621803284, 0.06102384626865387, 0.9494662284851074, 0.0008797780028544366 ], [ 0.23690997064113617, 0.01658186875283718, 0.4885154664516449, 0.0010817007860168815 ], [ 0.39454853534698486, 0.17603537440299988, 0.0009948532097041607 ], [ 0.38006237149238586, 0.6119897365570068, 0.936496376991272, 0.7286598682403564 ], [ 0.1576845347881317, 0.9817807674407959, 0.0006868267082609236 ], [ 0.3266211748123169, 0.683367908000946, 0.0008816052577458322 ], [ 0.39455172419548035, 0.8994409441947937, 0.000736722256988287 ] ] }, { "q_id": "7698_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.474141925573349, 0.0002696785959415138, 0.07465039193630219, 0.005348392762243748, 0.15376931428909302, 0.007110492791980505, 0.039428774267435074, 0.0010963358217850327, 0.014650212600827217, 0.0852942243218422, 0.026546353474259377, 0.41571471095085144, 0.0008880079840309918, 0.4453245997428894, 0.08192138373851776, 0.026277178898453712, 0.149274080991745, 0.6862455606460571, 0.9979436993598938 ], [ 0.3851473331451416, 0.0036557591520249844, 0.0005576217081397772, 0.051542844623327255, 0.4061754047870636, 0.024172626435756683, 0.35764703154563904, 0.0009678008500486612, 0.023921819403767586, 0.14388702809810638, 0.6849600076675415, 0.002125163096934557, 0.39155113697052, 0.1364060491323471, 0.656101405620575, 0.998090922832489 ], [ 0.47413739562034607, 0.00036642569466494024, 0.06053117662668228, 0.0027653672732412815, 0.06325623393058777, 0.007274181116372347, 0.6144206523895264, 0.001042820978909731, 0.002216935157775879, 0.005973213817924261, 0.028810778632760048, 0.7764890789985657, 0.9974724650382996 ], [ 0.38514846563339233, 0.00014628475764766335, 0.10430533438920975, 0.004179961048066616, 0.07118166238069534, 0.009614164009690285, 0.11476060748100281, 0.03374423459172249, 0.2620978355407715, 0.8859072327613831, 0.0017826765542849898, 0.42183253169059753, 0.09888321906328201, 0.6892500519752502, 0.9976131916046143 ], [ 0.47413668036460876, 0.0003531474503688514, 0.033556707203388214, 0.0016714622033759952, 0.0052872090600430965, 0.1345609873533249, 0.04643108695745468, 0.08968448638916016, 0.01662302203476429, 0.10429472476243973, 0.8103789687156677, 0.9987407326698303 ], [ 0.4741370379924774, 0.00427516084164381, 0.09236987680196762, 0.07445845007896423, 8.419371442869306e-05, 0.007939518429338932, 0.0005036586080677807, 0.2261658012866974, 0.16938842833042145, 0.7277294993400574, 0.10933977365493774, 0.04262096434831619, 0.14484144747257233, 0.40978094935417175, 0.9969468712806702 ], [ 0.38515228033065796, 0.002850607270374894, 0.020264875143766403, 0.004091563634574413, 0.2865600287914276, 0.0002493028878234327, 0.19399774074554443, 0.022801445797085762, 0.16195206344127655, 0.02526071108877659, 0.4792000949382782, 0.9988391995429993 ], [ 0.47413620352745056, 0.00023504483397118747, 0.02910490147769451, 0.008144530467689037, 0.0053557236678898335, 0.007166254799813032, 0.20246075093746185, 0.004495276138186455, 0.11208551377058029, 0.003749110968783498, 0.06927914172410965, 0.8072269558906555, 0.9974634647369385 ], [ 0.47413739562034607, 0.005359611473977566, 0.3371768891811371, 0.0036749420687556267, 0.39139506220817566, 0.0004763351462315768, 0.008667041547596455, 0.000371954491129145, 0.08752613514661789, 0.0024023053701967, 0.5952727198600769, 0.3645252585411072, 0.4788903295993805, 0.9976365566253662 ], [ 0.47413370013237, 0.0034157561603933573, 0.019084757193922997, 0.004130569752305746, 0.08271109312772751, 0.006325809750705957, 0.06362584233283997, 0.0002556649560574442, 0.11805146187543869, 0.06584645807743073, 0.10571391135454178, 0.035982973873615265, 0.4949890673160553, 0.9965643286705017 ], [ 0.8504449725151062, 0.0005871214671060443, 0.12684182822704315, 0.9834429621696472, 0.9979029893875122 ], [ 0.47413310408592224, 0.0007893351721577346, 0.00021547431242652237, 0.08738471567630768, 0.010021893307566643, 0.10573023557662964, 0.0007177424849942327, 0.014117036946117878, 0.0590909942984581, 0.0004318988067097962, 0.24353225529193878, 0.27827247977256775, 0.16666719317436218, 0.05369945615530014, 0.5596190094947815, 0.998358428478241 ], [ 0.5629509687423706, 0.33294788002967834, 0.04254891723394394, 0.025339117273688316, 0.37726011872291565, 0.00031075385049916804, 0.6962093114852905, 0.37621885538101196, 0.14550183713436127, 0.3330884873867035, 0.8858022093772888, 0.9982995390892029 ], [ 0.38515016436576843, 0.004264326766133308, 0.04060276970267296, 0.008169467560946941, 0.4008334279060364, 0.0013025685911998153, 0.08874762058258057, 0.16851606965065002, 0.8307994604110718, 0.9991044402122498 ], [ 0.47412776947021484, 0.0002350457216380164, 0.04704872891306877, 0.0027674641460180283, 0.014796817675232887, 0.012700242921710014, 0.008369823917746544, 0.39359691739082336, 0.7748681306838989, 0.0035217765253037214, 0.0538184829056263, 0.6193373799324036, 0.9972038269042969 ], [ 0.47413206100463867, 0.00023504729324486107, 0.03935721516609192, 0.005239435937255621, 0.033405885100364685, 0.0005887095467187464, 0.12456148862838745, 0.04173797369003296, 0.241207554936409, 0.03306432068347931, 0.9428861141204834, 0.9989551305770874 ] ] }, { "q_id": "7904_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.987944483757019, 0.5379223823547363, 0.9986124038696289, 0.9999479055404663 ], [ 0.9545007348060608, 0.9997978806495667, 0.9999480247497559 ], [ 0.9798713326454163, 0.17947928607463837, 0.997580885887146, 0.9999247789382935 ], [ 0.8867718577384949, 0.9978184700012207, 0.9999479055404663 ], [ 0.9923985600471497, 0.1191742867231369, 0.9737521409988403, 0.9999276399612427 ], [ 0.9763411283493042, 0.012983421795070171, 0.9970588684082031, 0.999936580657959 ], [ 0.9709261655807495, 0.9826122522354126, 0.9980825185775757, 0.999944806098938 ], [ 0.9902014136314392, 0.21459320187568665, 0.9988352656364441, 0.9999536275863647 ], [ 0.9770739674568176, 0.23066699504852295, 0.9998088479042053, 0.9999198913574219 ], [ 0.9720189571380615, 0.11542326211929321, 0.9985918402671814, 0.9999481439590454 ], [ 0.9786893725395203, 0.9980443716049194, 0.9999456405639648 ], [ 0.9564796686172485, 0.09000688046216965, 0.9983426332473755, 0.9999419450759888 ], [ 0.9527032375335693, 0.0825527012348175, 0.9992443323135376, 0.9999028444290161 ], [ 0.9882986545562744, 0.19354668259620667, 0.9949507713317871, 0.9999421834945679 ], [ 0.9864799380302429, 0.9615726470947266, 0.9997997879981995, 0.999936580657959 ], [ 0.9260988235473633, 0.9956250786781311, 0.9999245405197144 ] ] }, { "q_id": "8170_mmlu_math", "cot_ids": [ 0, 1, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15 ], "rewards": [ [ 0.17822253704071045, 0.009893910028040409, 0.760225236415863, 0.00093642104184255, 0.2172781527042389, 0.2128710001707077, 0.007590204011648893, 0.053361307829618454, 0.022644951939582825, 0.021486962214112282 ], [ 0.17822100222110748, 0.0006280443631112576, 0.045470815151929855, 0.008450563997030258, 0.4049648940563202, 0.002449857536703348, 0.06103609502315521, 0.008200853131711483, 0.30541422963142395, 0.013227039948105812, 0.2638033628463745, 0.9564921259880066 ], [ 0.17822331190109253, 0.011621748097240925, 0.7255758047103882, 0.0010139752412214875, 0.1632164567708969, 0.1581372618675232, 0.008502164855599403, 0.017199575901031494, 0.017239071428775787 ], [ 0.1782202422618866, 0.011621661484241486, 0.7247670888900757, 0.0012181306956335902, 0.15135788917541504, 0.009761316701769829, 0.06892082095146179, 0.4102983772754669, 0.029400017112493515 ], [ 0.1782233864068985, 0.009893858805298805, 0.7149369716644287, 0.000825317285489291, 0.21427269279956818, 0.16187098622322083, 0.008849279023706913, 0.01622135378420353, 0.024145592004060745 ], [ 0.17822308838367462, 0.011549446731805801, 0.016633259132504463, 0.8460460901260376, 0.00025096916942857206, 0.3290465474128723, 0.4680898189544678, 0.02712944522500038, 0.09524939954280853, 0.01747656986117363, 0.017766131088137627 ], [ 0.17822282016277313, 0.01154923066496849, 0.017222274094820023, 0.7684677839279175, 0.00036696894676424563, 0.18399563431739807, 0.009478641673922539, 0.09180677682161331, 0.9422234892845154, 0.9807547330856323 ], [ 0.17822198569774628, 0.011621639132499695, 0.7389194369316101, 0.000915003300178796, 0.018623413518071175, 0.05550636351108551, 0.055458586663007736, 0.17038056254386902, 0.010723886080086231, 0.007168206851929426, 0.010317143052816391 ], [ 0.1782219111919403, 0.011549354530870914, 0.6857540011405945, 0.00012173397408332676, 0.10780278593301773, 0.11812644451856613, 0.02843775786459446, 0.06686205416917801, 0.012917122803628445, 0.017205961048603058 ], [ 0.17822422087192535, 0.011621863581240177, 0.6763637661933899, 0.0006687717977911234, 0.11377426981925964, 0.04950288310647011, 0.00632699066773057, 0.022102445363998413, 0.01210178155452013 ], [ 0.17822282016277313, 0.011621672660112381, 0.5859334468841553, 0.0005290197441354394, 0.18253807723522186, 0.00853846687823534, 0.09382084757089615, 0.021792633458971977, 0.015446800738573074 ], [ 0.17822282016277313, 0.011621699668467045, 0.7290738821029663, 0.0004741493903566152, 0.14389419555664062, 0.1552780717611313, 0.007226171903312206, 0.03346731513738632, 0.018602892756462097, 0.020567728206515312 ], [ 0.17822416126728058, 0.011621727608144283, 0.7477976679801941, 0.0005678347079083323, 0.1301659345626831, 0.008444600738584995, 0.4712070822715759, 0.03159425035119057 ] ] }, { "q_id": "8179_mmlu_math", "cot_ids": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15 ], "rewards": [ [ 0.028345616534352303, 0.03441381826996803, 0.00988064892590046, 0.04811256751418114, 0.004268635995686054, 0.4136432409286499, 0.15603092312812805, 0.11159802228212357, 0.21779924631118774, 0.2666350305080414, 0.41271689534187317, 0.404998242855072, 0.301179975271225, 0.12051717191934586, 0.017706161364912987, 0.0038040296640247107 ], [ 0.03434097394347191, 0.011775524355471134, 0.041265781968832016, 0.05594062805175781, 0.008617609739303589, 0.08318708837032318, 0.03649540990591049, 0.0025215311907231808 ], [ 0.24476128816604614, 0.41653192043304443, 0.15416909754276276, 0.05733548104763031, 0.027847222983837128, 0.0021011242642998695 ], [ 0.11961205303668976, 0.028404906392097473, 0.01619809865951538, 0.020666101947426796, 0.033152107149362564, 0.08119950443506241, 0.24185678362846375 ], [ 0.2793925106525421, 0.06953661888837814, 0.001166998641565442, 0.018075119704008102, 0.04118238016963005, 0.05981888249516487, 0.052047230303287506, 0.0074257394298911095, 0.9590309262275696, 0.9752545356750488 ], [ 0.026718173176050186, 0.019431140273809433, 0.028020672500133514, 0.041876863688230515, 0.039032045751810074, 0.0361909493803978, 0.05274062976241112, 0.0025089967530220747 ], [ 0.22980821132659912, 0.07804151624441147, 0.004942839499562979, 0.04215140640735626, 0.05016724392771721, 0.004407957661896944, 0.0014920334797352552, 0.04880085960030556, 0.023076919838786125, 0.0345240943133831, 0.03423956781625748, 0.03350936993956566, 0.901418924331665, 0.9746948480606079 ], [ 0.2812417149543762, 0.03459532558917999, 0.027050910517573357, 0.03844628483057022, 0.04928242042660713, 0.04983453452587128, 0.03878108784556389, 0.09479249268770218, 0.09093636274337769, 0.0656956285238266, 0.035289328545331955, 0.002593281911686063 ], [ 0.28585484623908997, 0.21971169114112854, 0.1223565861582756, 0.07675715535879135, 0.0036085867322981358, 0.002379738725721836 ], [ 0.2692563533782959, 0.0020398555789142847, 0.04552749544382095, 0.0014064500574022532, 0.083875872194767, 0.05033364146947861, 0.9486458897590637, 0.9708601236343384 ], [ 0.2657763361930847, 0.033960796892642975, 0.026291070505976677, 0.03403640538454056, 0.014021848328411579, 0.6766132116317749, 0.9035771489143372 ], [ 0.028345853090286255, 0.027239786460995674, 0.039866603910923004, 0.0478399395942688, 0.0021641275379806757, 0.01630437560379505, 0.023954419419169426, 0.000864800123963505, 0.019727084785699844, 0.03332763537764549, 0.04185628145933151, 0.004762372467666864 ], [ 0.04298029839992523, 0.009483294561505318, 0.009356538765132427, 0.038912270218133926, 0.005825618281960487, 0.04120807349681854, 0.012253031134605408, 0.012684278190135956, 0.021121051162481308, 0.03456498682498932, 0.00479911919683218 ], [ 0.28585511445999146, 0.02853812277317047, 0.002482786774635315 ] ] }, { "q_id": "7819_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9882283806800842, 0.9446714520454407 ], [ 0.3995457589626312, 0.9810048937797546, 0.9510948657989502 ], [ 0.5947384238243103, 0.030181044712662697, 0.9054702520370483, 0.9524255394935608 ], [ 0.9839712977409363, 0.9226641654968262 ], [ 0.7497208118438721, 0.9837899804115295, 0.9650740623474121 ], [ 0.9882283806800842, 0.9446683526039124 ], [ 0.4172327518463135, 0.7127487659454346, 0.8627099990844727 ], [ 0.8148346543312073, 0.012829026207327843 ], [ 0.981717586517334, 0.9187353849411011 ], [ 0.9871389269828796, 0.9522654414176941 ], [ 0.3438069820404053, 0.7388424277305603, 0.7664231657981873 ], [ 0.9896430969238281, 0.9629449248313904 ], [ 0.9896430969238281, 0.9629449248313904 ], [ 0.08329600095748901, 0.004440804943442345, 0.0053113787434995174, 0.02073623053729534, 0.030156753957271576, 0.01709468849003315, 0.07072814553976059, 0.06162072345614433, 0.5494430065155029, 0.7310771346092224, 0.9689239263534546, 0.9684059023857117 ], [ 0.9896432161331177, 0.9629494547843933 ], [ 0.9882282614707947, 0.944668173789978 ] ] }, { "q_id": "8983_mmlu_math", "cot_ids": [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.400398313999176, 0.007955609820783138, 0.02946702390909195, 0.0011876939097419381, 6.193338049342856e-05, 0.6164013147354126, 0.0007211088086478412, 0.06040570139884949, 0.0013496907195076346, 0.13791514933109283, 0.06205647811293602, 0.061597127467393875, 0.0014715349534526467 ], [ 0.3885004222393036, 0.011370281688869, 0.04760511964559555, 0.0011657321592792869, 8.21448556962423e-05, 0.7031212449073792, 0.0012393455253913999, 0.06495142728090286, 0.0027118113357573748, 0.0471864715218544, 0.16298812627792358, 0.14584484696388245, 0.06844887882471085, 0.2970154583454132, 0.07420352101325989, 0.001706514391116798 ], [ 0.38850516080856323, 0.011370325461030006, 0.07552287727594376, 0.0012465056497603655, 0.16130708158016205, 0.011697407811880112, 0.03598547354340553, 0.01797482557594776, 0.00015583785716444254, 0.44351640343666077, 0.05089364945888519, 0.0656203031539917, 0.02356070466339588 ], [ 0.38849952816963196, 0.00825511198490858, 0.19702287018299103, 0.009744805283844471, 0.02165340445935726, 0.0017336832825094461, 0.0010019714245572686, 0.7366582751274109, 0.016329342499375343, 0.20025929808616638, 0.057521969079971313, 0.36787593364715576, 0.1864541918039322, 0.00710001727566123, 0.011881021782755852 ], [ 0.38849884271621704, 0.008255166932940483, 0.2016994208097458, 0.008350810036063194, 0.03946704417467117, 0.0011662783799692988, 0.0009489041403867304, 0.784021258354187, 0.0038907621055841446, 0.0003104453207924962, 0.03256633132696152, 0.0007009318214841187, 0.044720739126205444, 0.018007555976510048 ], [ 0.3884977102279663, 0.0024853672366589308, 0.18658944964408875, 0.006765703205019236, 0.025347208604216576, 0.0007353826076723635, 0.0013322149170562625, 0.7105872631072998, 0.0033468271140009165, 0.10063780099153519, 0.027810316532850266, 0.18354259431362152, 0.06495507806539536, 0.0014324766816571355 ], [ 0.38849589228630066, 0.01137019693851471, 0.05629931762814522, 0.0013044357765465975, 6.623879744438455e-05, 0.6590685844421387, 0.023357359692454338, 0.9638033509254456, 0.7290547490119934, 0.04725544527173042 ], [ 0.3884981572628021, 0.011370111256837845, 0.1148332953453064, 0.0027905686292797327, 0.0002426324790576473, 0.296006977558136, 0.026636948809027672, 0.020835675299167633, 0.09663385152816772, 0.023120559751987457, 0.3929786682128906, 0.0075640068389475346, 0.11339480429887772, 0.015959391370415688 ], [ 0.3885002136230469, 0.0005418933578766882, 0.046068158000707626, 0.01270338799804449, 0.04377351701259613, 0.0033099029678851366, 0.44015994668006897, 0.007152446545660496, 0.07039394229650497, 0.021147774532437325 ], [ 0.3884999752044678, 0.009075884707272053, 0.0852472186088562, 0.0013685262529179454, 6.884974573040381e-05, 0.18494011461734772, 0.0075673009268939495, 0.02631913311779499, 0.01958269625902176, 7.756982813589275e-05, 0.4108460545539856, 0.07562965154647827, 0.0005915358196943998, 0.042719703167676926, 0.017020592465996742 ], [ 0.3885015845298767, 0.00825517438352108, 0.21212108433246613, 0.009864027611911297, 0.04363902658224106, 0.00195884145796299, 0.0011981877032667398, 0.8185458779335022, 0.02012946642935276, 0.5480946898460388, 0.38186001777648926, 0.10104061663150787, 0.027619188651442528 ], [ 0.3885015845298767, 0.0024432914797216654, 0.3029401898384094, 0.011943439953029156, 0.04280754178762436, 0.0009113454725593328, 0.000590682786423713, 0.5473544597625732, 0.003502923995256424, 0.14524205029010773, 0.05190003663301468, 0.24106447398662567, 0.07013983279466629, 0.0014243690529838204 ], [ 0.38849860429763794, 0.011370141990482807, 0.0755232721567154, 0.0012465352192521095, 0.0001597377413418144, 0.1720883995294571, 0.009300293400883675, 0.03774289786815643, 0.013816555961966515, 9.912361565511674e-05, 0.4342042803764343, 0.08840654790401459, 0.0014463155530393124, 0.044798582792282104, 0.01550016924738884 ], [ 0.3885013163089752, 0.008255314081907272, 0.2217995673418045, 0.011561844497919083, 0.04134848713874817, 0.0018885659519582987, 0.0011953742941841483, 0.7949066758155823, 0.01785895600914955, 0.9293175935745239, 0.041135240346193314 ] ] }, { "q_id": "7970_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.3078312873840332, 0.16074857115745544, 0.23133142292499542, 0.0003216738405171782, 0.21665681898593903, 0.0015744563424959779, 0.975681483745575, 0.0358748584985733 ], [ 0.3078272342681885, 0.03220692649483681, 0.31778010725975037, 0.003913511522114277, 0.6486302614212036, 0.0021608080714941025, 0.10816990584135056, 0.9816728830337524, 0.1035865917801857 ], [ 0.3243595361709595, 0.06369838118553162, 0.18729810416698456, 0.00022847855871077627, 0.5985869765281677, 0.03326795995235443, 0.9796563386917114, 0.030346639454364777 ], [ 0.3078286349773407, 0.07318528741598129, 0.018404053524136543, 0.9365814328193665, 0.9149155616760254, 0.04965019226074219, 0.004392238799482584, 0.025599684566259384, 0.44314077496528625, 0.33870336413383484, 0.4244266450405121, 0.23622843623161316, 0.9696266651153564, 0.05778161436319351 ], [ 0.5111570954322815, 0.40981990098953247, 0.013722172006964684, 0.4124322831630707, 0.006007649470120668, 0.6465892195701599, 0.007780698128044605, 0.9669291377067566, 0.030819987878203392 ], [ 0.37979477643966675, 0.05423533171415329, 0.017299391329288483, 0.9108384251594543, 0.8973954916000366, 0.04197164997458458, 0.002017742255702615, 0.011240172199904919, 0.42177438735961914, 0.45251181721687317, 0.5626367330551147, 0.29849696159362793, 0.9762580990791321, 0.06656486541032791 ], [ 0.30782967805862427, 0.03258681297302246, 0.0979086235165596, 0.019018899649381638, 0.3503369390964508, 0.9456522464752197, 0.04272371903061867, 0.00068928167456761, 0.30377113819122314, 0.007103312760591507, 0.14279162883758545, 0.0011504139984026551, 0.9671834111213684, 0.714958667755127, 0.9875079989433289, 0.9550639986991882 ], [ 0.48628056049346924, 0.4288427233695984, 0.5336905717849731, 0.02164766564965248, 0.9815690517425537, 0.07407688349485397 ], [ 0.3978481590747833, 0.7373401522636414, 0.0029910781886428595, 0.28250521421432495, 0.004623622167855501, 0.976989209651947, 0.08532954007387161 ], [ 0.30782800912857056, 0.051192641258239746, 0.01776977814733982, 0.8547397255897522, 0.9194994568824768, 0.0419764444231987, 0.31782519817352295, 0.010970395058393478, 0.0925455167889595, 0.0006943749613128603, 0.9672784209251404, 0.0803922563791275 ], [ 0.48627719283103943, 0.42884156107902527, 0.0136183500289917, 0.5259115695953369, 0.0031209299340844154, 0.5190004110336304, 0.2770945727825165, 0.41262999176979065, 0.2096707820892334, 0.9785057902336121, 0.02754066325724125 ], [ 0.4862767457962036, 0.43184906244277954, 0.020430872216820717, 0.5661471486091614, 0.004844320006668568, 0.5306844711303711, 0.004579673521220684, 0.9793710708618164, 0.11472245305776596 ], [ 0.48627910017967224, 0.43185022473335266, 0.02043117769062519, 0.5741915702819824, 0.01046408899128437, 0.030257681384682655, 0.9751914739608765, 0.03306969255208969 ], [ 0.4862779378890991, 0.43185093998908997, 0.6152916550636292, 0.01252767350524664, 0.16575433313846588, 0.9724329113960266, 0.031281325966119766 ], [ 0.30782800912857056, 0.03136666119098663, 0.18766087293624878, 0.32433319091796875, 0.0002351501607336104, 0.625533938407898, 0.007040131837129593, 0.9760400056838989, 0.029183750972151756 ], [ 0.4806036353111267, 0.5324334502220154, 0.005905434023588896, 0.987263023853302, 0.03744897246360779 ] ] }, { "q_id": "8542_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.01281766127794981, 0.18978770077228546, 0.9730560183525085, 0.997068464756012 ], [ 0.4781889021396637, 0.9601344466209412, 0.9966474175453186 ], [ 0.17459066212177277, 0.972448468208313, 0.9956403970718384 ], [ 0.49908319115638733, 0.985173225402832, 0.9980173110961914 ], [ 0.7360034584999084, 0.33756136894226074, 0.99554044008255 ], [ 0.2580748498439789, 0.17389345169067383, 0.9933631420135498 ], [ 0.6998856663703918, 0.9686421751976013, 0.9968200922012329 ], [ 0.01673317328095436, 0.603159487247467, 0.9838495254516602, 0.9955827593803406 ], [ 0.2580810487270355, 0.8770793676376343, 0.9953266382217407 ], [ 0.6336384415626526, 0.9570355415344238, 0.9963465332984924 ], [ 0.4024302661418915, 0.8482337594032288, 0.9933165311813354 ], [ 0.42820432782173157, 0.9618771076202393, 0.9968897700309753 ], [ 0.731944739818573, 0.8243005275726318, 0.990968644618988, 0.9975034594535828 ], [ 0.0882071852684021, 0.9203230142593384, 0.9950729012489319 ], [ 0.15970779955387115, 0.32868239283561707, 0.0017055453499779105, 0.48186194896698, 0.996416449546814 ], [ 0.107240229845047, 0.7526357173919678, 0.9944849610328674 ] ] }, { "q_id": "8992_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.533947229385376, 0.19119639694690704, 0.5131862163543701, 0.33693334460258484, 0.9938156604766846, 0.999427855014801 ], [ 0.26605838537216187, 0.023334844037890434, 0.03020346537232399, 0.09321346879005432, 0.017807191237807274, 0.06763342022895813, 0.017879609018564224, 0.06295435130596161, 0.25142166018486023, 0.023202424868941307, 0.899653434753418, 0.9990541338920593 ], [ 0.2683647871017456, 0.4496486783027649, 0.04918999224901199, 0.31148311495780945, 0.01287437230348587, 0.09210126101970673, 0.07188396900892258, 0.1320679634809494, 0.9558095335960388, 0.9992578625679016 ], [ 0.27153947949409485, 0.009298138320446014, 0.14338871836662292, 0.03488660231232643, 0.03940451145172119, 0.2937786877155304, 0.02547859400510788, 0.014730164781212807, 0.04491932690143585, 0.0099054966121912, 0.9896189570426941, 0.9993512034416199 ], [ 0.8559793829917908, 0.055401165038347244, 0.33008211851119995, 0.042138781398534775, 0.32401061058044434, 0.0470518097281456, 0.22977681457996368, 0.15747147798538208, 0.4609750807285309, 0.8698685765266418, 0.9994497895240784 ], [ 0.2660573422908783, 0.04038356617093086, 0.024781929329037666, 0.04199846461415291, 0.21125397086143494, 0.0060790423303842545, 0.013986125588417053, 0.13277921080589294, 0.11622636765241623, 0.10546263307332993, 0.8984321355819702, 0.9991384744644165 ], [ 0.3633054494857788, 0.6012470126152039, 0.05154988914728165, 0.3086003363132477, 0.06064468249678612, 0.07841751724481583, 0.08643539249897003, 0.1928538680076599, 0.9920252561569214, 0.9997033476829529 ], [ 0.9895217418670654, 0.9993143081665039 ], [ 0.3665979206562042, 0.17965281009674072, 0.11557824164628983, 0.126137375831604, 0.40630653500556946, 0.9802460074424744, 0.9996527433395386 ], [ 0.6323246359825134, 0.34622669219970703, 0.9977304339408875, 0.9996150732040405 ], [ 0.26605838537216187, 0.044613081961870193, 0.05372975021600723, 0.3879643380641937, 0.01278186496347189, 0.0171024389564991, 0.06547290086746216, 0.014866492711007595, 0.990578830242157, 0.9995026588439941 ], [ 0.7160712480545044, 0.6697261333465576, 0.013767963275313377, 0.33284229040145874, 0.03293237462639809, 0.20263926684856415, 0.13201658427715302, 0.8541685342788696, 0.9848294854164124, 0.9996895790100098 ], [ 0.5837217569351196, 0.08898930996656418, 0.4395659565925598, 0.039883486926555634, 0.17802336812019348, 0.15108829736709595, 0.9344199299812317, 0.32588309049606323, 0.9619131684303284, 0.9995026588439941 ], [ 0.5398566126823425, 0.7694748044013977, 0.019158001989126205, 0.40321996808052063, 0.039456743746995926, 0.24597229063510895, 0.11205225437879562, 0.970406174659729, 0.9904049634933472, 0.9993789196014404 ], [ 0.7075867652893066, 0.47279614210128784, 0.02299392595887184, 0.19197480380535126, 0.18447105586528778, 0.9390526413917542, 0.9202818870544434, 0.9996681213378906 ], [ 0.5314263105392456, 0.9554697871208191, 0.06260616332292557, 0.40031886100769043, 0.0621819943189621, 0.24543710052967072, 0.12824735045433044, 0.9396495819091797, 0.5841550827026367, 0.9820665121078491, 0.9998002648353577 ] ] }, { "q_id": "8976_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.032203108072280884, 0.002642435487359762, 0.09662605822086334, 0.017827695235610008, 0.015589609742164612, 0.0782112330198288, 0.4298957586288452, 0.01702619343996048 ], [ 0.03220325708389282, 0.030360108241438866, 0.00939212366938591, 0.15838438272476196, 0.016905734315514565 ], [ 0.03310570865869522, 0.0030184329953044653, 0.08184725046157837, 0.01859869807958603, 0.014834304340183735, 0.02628142572939396, 0.42407992482185364, 0.015450514853000641 ], [ 0.0322033166885376, 0.05238530784845352, 0.005376707762479782, 0.018125826492905617, 0.7917729020118713, 0.016432348638772964 ], [ 0.03185272216796875, 0.002323874505236745, 0.07886971533298492, 0.018550001084804535, 0.013885079883038998, 0.02341574802994728, 0.18069599568843842, 0.008315353654325008 ], [ 0.03185272216796875, 0.03379783779382706, 0.007691471371799707, 0.19949404895305634, 0.016856558620929718 ], [ 0.033105477690696716, 0.04043176397681236, 0.007996376603841782, 0.16648487746715546, 0.01605166494846344 ], [ 0.03094686008989811, 0.003044258104637265, 0.18087516725063324, 0.017558103427290916, 0.011452127248048782, 0.038715995848178864, 0.1375695765018463, 0.008697202429175377 ], [ 0.03185272216796875, 0.0023239508736878633, 0.08267824351787567, 0.01799439825117588, 0.013404781930148602, 0.02994290366768837, 0.40672481060028076, 0.015929650515317917 ], [ 0.020264307036995888, 0.026799622923135757, 0.008046207949519157, 0.11948753893375397, 0.016242405399680138 ], [ 0.02026427909731865, 0.002503146417438984, 0.024562882259488106, 0.016618702560663223, 0.01787225902080536, 0.08011585474014282, 0.5807428956031799, 0.018430812284350395 ], [ 0.03185279667377472, 0.01902364194393158, 0.010825993493199348, 0.14397063851356506, 0.016783704981207848 ], [ 0.007486846297979355, 0.032734889537096024, 0.007043033372610807, 0.10795431584119797, 0.020327577367424965 ], [ 0.030947217717766762, 0.003044301876798272, 0.08674748241901398, 0.01707823947072029, 0.012971224263310432, 0.036509495228528976, 0.5171324014663696, 0.014997586607933044 ], [ 0.031852636486291885, 0.0023238977883011103, 0.05915120989084244, 0.01800442859530449, 0.012848365120589733, 0.028380518779158592, 0.6247015595436096, 0.35405421257019043, 0.01819247007369995 ], [ 0.03094678930938244, 0.003044233424589038, 0.030152054503560066, 0.017522793263196945, 0.02071833796799183, 0.10925673693418503, 0.3303084373474121, 0.009341953322291374 ] ] }, { "q_id": "7894_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.0622808039188385, 0.001467184629291296, 0.00343722989782691, 0.014527085237205029, 0.001629573293030262, 0.00136140629183501, 0.007113341707736254, 0.09320435672998428, 0.006271693855524063, 0.009619849734008312, 0.09225735813379288, 0.015913961455225945 ], [ 0.008951062336564064, 0.07323990762233734, 0.720464289188385, 0.014273914508521557 ], [ 0.002744626486673951, 0.0004742307064589113, 0.0024752425961196423, 0.01672660931944847, 0.0007264557061716914, 0.005451223812997341, 0.06803066283464432, 0.016858944669365883 ], [ 0.012364823371171951, 0.12646181881427765, 0.01566437818109989, 0.42848020792007446, 0.014052266255021095 ], [ 0.016078611835837364, 0.017056768760085106, 0.009461966343224049 ], [ 0.011730551719665527, 0.003489723429083824, 0.06895482540130615, 0.008549139834940434, 0.12446252256631851, 0.049693513661623 ], [ 0.014400569722056389, 0.036900002509355545, 0.005425707902759314, 0.28236156702041626, 0.01017675455659628 ], [ 0.013432569801807404, 0.37446650862693787, 0.07395605742931366, 0.04889573156833649, 0.012266312725841999 ], [ 0.06228078156709671, 0.0016685399459674954, 0.0140732042491436, 0.0010150326415896416, 0.2960892617702484, 0.3408689498901367, 0.015010426752269268 ], [ 0.006022391375154257, 0.20174640417099, 0.02927403524518013, 0.010994712822139263 ], [ 0.014055325649678707, 0.09045232087373734, 0.06361889094114304, 0.24124157428741455, 0.019859952852129936 ], [ 0.038883231580257416, 0.3837193250656128, 0.027912722900509834, 0.016513364389538765 ], [ 0.010718676261603832, 0.006465666927397251, 0.028589803725481033, 0.3040848672389984, 0.006369519047439098, 0.03704070299863815, 0.010294677689671516 ], [ 0.016078799962997437, 0.10466337203979492, 0.1987318992614746, 0.01416127197444439 ], [ 0.014304331503808498, 0.08415462076663971, 0.07736905664205551, 0.04222844913601875, 0.09415165334939957, 0.01357985008507967 ], [ 0.06228117272257805, 0.0015096701681613922, 0.19282138347625732, 0.31661975383758545, 0.013197541236877441 ] ] }, { "q_id": "8223_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9707103371620178, 0.1560690850019455, 0.1632271558046341, 0.9551165103912354, 0.9998237490653992 ], [ 0.21234740316867828, 0.0002257639280287549, 0.0284983329474926, 0.012874106876552105, 0.9750276803970337, 0.9997898936271667 ], [ 0.9702573418617249, 0.08642375469207764, 0.03267652541399002, 0.05448948219418526, 0.9683776497840881, 0.9997727274894714 ], [ 0.1082058772444725, 0.00030643295031040907, 0.02942284382879734, 0.03157578408718109, 0.011866326443850994, 0.8562564253807068, 0.9997614026069641 ], [ 0.10820776969194412, 0.00030643324134871364, 0.03289056569337845, 0.034369196742773056, 0.9760547876358032, 0.9998218417167664 ], [ 0.10820689052343369, 0.0003064344055019319, 0.026753483340144157, 0.015564835630357265, 0.7666396498680115, 0.9997802376747131 ], [ 0.6929754614830017, 0.00023943423002492636, 0.04163200780749321, 0.029973233118653297, 0.44556182622909546, 0.9997163414955139 ], [ 0.5299003720283508, 0.0014698844170197845, 0.06417880952358246, 0.10338521748781204, 0.8866463303565979, 0.9998462200164795 ], [ 0.6929712891578674, 0.0005218269652687013, 0.031188981607556343, 0.016862066462635994, 0.9062514901161194, 0.9997511506080627 ], [ 0.6929768919944763, 0.00023943903215695173, 0.04508686065673828, 0.04527580365538597, 0.17291772365570068, 0.9997509121894836 ], [ 0.7141468524932861, 0.0007422223570756614, 0.019491612911224365, 0.027822308242321014, 0.3947516679763794, 0.9998155236244202 ], [ 0.6929768919944763, 0.00023943766427692026, 0.040955550968647, 0.04020718112587929, 0.3891580104827881, 0.9998031258583069 ], [ 0.08826646208763123, 0.0003795629017986357, 0.028943469747900963, 0.035048652440309525, 0.6599337458610535, 0.9996986389160156 ], [ 0.6929724812507629, 0.0018018758855760098, 0.035969097167253494, 0.03892798349261284, 0.026522163301706314, 0.012868387624621391, 0.9797462821006775, 0.9998225569725037 ], [ 0.6929791569709778, 0.009768186137080193, 0.0031872692052274942, 0.9750990867614746, 0.9997931122779846 ], [ 0.9786150455474854, 0.03223370388150215, 0.039847057312726974, 0.969311535358429, 0.9997946619987488 ] ] }, { "q_id": "8019_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.1824657917022705, 0.0015641608042642474, 0.02952597849071026, 0.7850489616394043, 0.9899212121963501, 0.9975020289421082 ], [ 0.0012401071144267917, 0.28783419728279114, 0.0044656237587332726, 0.9913731217384338, 0.9975504279136658 ], [ 0.004813814535737038, 0.19023068249225616, 0.0007634261855855584, 0.12287008762359619, 0.4046379327774048, 0.9843909740447998, 0.0016549731371924281 ], [ 0.6278728246688843, 0.18496611714363098, 0.993229866027832, 0.9959738850593567 ], [ 0.006084646563977003, 0.1967000514268875, 0.003135537728667259, 0.015417256392538548, 0.0005349956336431205, 0.994218111038208, 0.9988344311714172 ], [ 0.6625540852546692, 0.1850256621837616, 0.9601683616638184, 0.9946343898773193 ], [ 0.9982777833938599, 0.9991901516914368 ], [ 0.7432830929756165, 0.3759380280971527, 0.9797149300575256, 0.0032481520902365446 ], [ 0.00168798363301903, 0.10159483551979065, 0.0005763309891335666, 0.9939993619918823, 0.9992551207542419 ], [ 0.1466888189315796, 0.22620104253292084, 0.21659742295742035, 0.9527847766876221, 0.0033011622726917267 ], [ 0.0008453920017927885, 0.1801370084285736, 0.0004926761612296104, 0.05592038109898567, 0.012676337733864784, 0.9954789876937866, 0.9993880987167358 ], [ 0.9982263445854187, 0.9986979961395264 ], [ 0.00226887920871377, 0.9950730204582214, 0.9986999034881592 ], [ 0.694821834564209, 0.1504904329776764, 0.9850934743881226, 0.9964219331741333 ], [ 0.006084635388106108, 0.27517321705818176, 0.003234865376725793, 0.018634065985679626, 0.41740432381629944, 0.995901882648468, 0.9991990923881531 ], [ 0.05790773034095764, 0.9968446493148804, 0.9984989166259766 ] ] }, { "q_id": "8732_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.05329982191324234, 0.006242915987968445, 0.0038851371500641108, 0.0034299755934625864, 0.06718145310878754, 0.04889659211039543 ], [ 0.05329975113272667, 0.007310618180781603, 0.006372528616338968, 0.001180467545054853, 0.14541274309158325, 0.015467559918761253 ], [ 0.19719545543193817, 0.12461963295936584, 0.02516227401793003, 0.000235333398450166, 0.27724534273147583, 0.006318710744380951 ], [ 0.05329907685518265, 0.007337986025959253, 0.004039719235152006, 0.012358080595731735, 0.015908539295196533, 0.0011511100456118584, 0.00600903294980526, 0.0023714471608400345, 0.12350312620401382, 0.006938154809176922 ], [ 0.022158661857247353, 0.013462613336741924, 0.01316426694393158, 0.021610774099826813, 0.002085096901282668, 0.032428909093141556, 0.017814256250858307 ], [ 0.05330073460936546, 0.004652122035622597, 0.01245769951492548, 0.00011035527131753042, 0.024031823500990868, 0.0006161220953799784, 0.0008876002975739539, 0.1503361463546753, 0.021104278042912483 ], [ 0.05329946056008339, 0.02556210197508335, 0.023404737934470177, 0.0008440527017228305, 0.14693285524845123, 0.013626090250909328, 0.005112955346703529 ], [ 0.05329907685518265, 0.006701110862195492, 0.026240797713398933, 0.004692462272942066, 0.0010986295528709888, 0.07009131461381912, 0.019311580806970596 ], [ 0.0532996729016304, 0.008222896605730057, 0.008421112783253193, 0.014693234115839005, 0.006339461542665958, 0.0006452568341046572, 0.01802377589046955, 0.05406864359974861, 0.5231191515922546, 0.2619912326335907, 0.25356343388557434, 0.25283658504486084, 0.005819216836243868 ], [ 0.17938163876533508, 0.07683491706848145, 0.024071702733635902, 0.0015655453316867352, 0.014397160150110722, 0.007018691394478083, 0.008848865516483784 ], [ 0.05330009013414383, 0.008823461830615997, 0.006522786803543568, 0.001782890409231186, 0.05811392515897751, 0.007752150762826204, 0.008782248944044113 ], [ 0.05329907685518265, 0.008718403987586498, 0.005391904152929783, 0.03260881081223488, 0.011946850456297398, 0.0007842212216928601, 0.4445871412754059, 0.034458909183740616, 0.013321956619620323 ], [ 0.05330068990588188, 0.004652146250009537, 0.007286414038389921, 8.084881847025827e-05, 0.013692826963961124, 0.0007225092849694192, 0.008813108317553997, 0.0013473263243213296, 0.16371272504329681, 0.027172042056918144, 0.01887490600347519 ], [ 0.0532991997897625, 0.003016304224729538, 0.02260546199977398, 0.013841917738318443, 0.014995960518717766, 0.015572669915854931, 0.022404752671718597, 0.001221374492160976, 0.27450859546661377, 0.01391972042620182 ], [ 0.05330027639865875, 0.005246488377451897, 0.00326009513810277, 0.007843462750315666, 0.0015595135046169162, 0.008927781134843826, 0.03399120271205902, 0.007845290005207062, 0.012826020829379559 ], [ 0.0532991997897625, 0.004652072675526142, 0.0072151171043515205, 0.0001110024459194392, 0.014195996336638927, 0.0006654911558143795, 0.052741434425115585, 0.0013986743288114667, 0.041159868240356445, 0.00981835275888443, 0.042261525988578796 ] ] }, { "q_id": "7949_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8611688017845154, 0.08406836539506912, 0.9193518161773682, 0.9788637757301331 ], [ 0.8698356747627258, 0.06123131886124611, 0.773421585559845, 0.9038089513778687 ], [ 0.8335698246955872, 0.046474553644657135, 0.8696669340133667, 0.974763035774231 ], [ 0.8629782199859619, 0.04478764161467552, 0.6645430326461792, 0.9173725843429565 ], [ 0.8698352575302124, 0.06123169884085655, 0.6786819696426392, 0.7779345512390137 ], [ 0.9737969040870667, 0.9915657043457031 ], [ 0.8335737586021423, 0.06358586251735687, 0.9058995246887207, 0.9784933924674988 ], [ 0.8918113708496094, 0.07571933418512344, 0.9280943870544434, 0.9845852255821228 ], [ 0.8574832677841187, 0.14360909163951874, 0.9717444181442261, 0.9894968271255493 ], [ 0.4825562536716461, 0.9905152320861816, 0.9960753321647644 ], [ 0.86983323097229, 0.061536021530628204, 0.6349183917045593, 0.8950319290161133 ], [ 0.8153075575828552, 0.9395326375961304 ], [ 0.8451870083808899, 0.06174268573522568, 0.8376742601394653, 0.9710665345191956 ], [ 0.8040444850921631, 0.05442414432764053, 0.8232934474945068, 0.970634400844574 ], [ 0.8412821888923645, 0.09679101407527924, 0.7922242879867554, 0.9325444102287292 ], [ 0.9129215478897095, 0.06782973557710648, 0.5784680247306824, 0.8008452653884888 ] ] }, { "q_id": "8215_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.38706454634666443, 0.032734137028455734, 0.02202477678656578, 0.0005026250728406012, 0.0002055600198218599, 0.051433004438877106, 0.006781472824513912, 0.013899901881814003, 0.1208966076374054, 0.001034658052958548, 0.006349032744765282, 0.08684419840574265, 0.010377157479524612, 0.0016125254333019257, 0.12016212195158005, 0.020441696047782898, 0.08950382471084595, 0.11417331546545029, 0.019330544397234917, 0.021283825859427452, 0.004460813943296671 ], [ 0.38706037402153015, 0.01498592458665371, 0.03275727108120918, 0.004731734283268452, 0.09573931246995926, 0.0014572637155652046, 0.018796950578689575, 0.21452681720256805, 0.3134955167770386, 0.05490320548415184, 0.25214821100234985, 0.21574968099594116, 0.3998846113681793, 0.1297127902507782, 0.07720476388931274, 0.06669062376022339, 0.02560250461101532, 0.06772629916667938, 0.12433641403913498 ], [ 0.44099241495132446, 0.018057795241475105, 0.5358069539070129, 0.8467403054237366, 0.017408015206456184, 0.053395453840494156, 0.05847920477390289, 0.0017027006251737475 ], [ 0.38706332445144653, 0.0270218625664711, 0.06304385513067245, 0.22716212272644043, 0.04732636362314224, 0.07938572019338608, 0.01829705387353897, 0.32001638412475586, 0.011651303619146347, 0.09436085820198059, 0.01567993499338627, 0.05982719361782074, 0.09172546863555908, 0.008991456590592861 ], [ 0.4409927725791931, 0.002884803805500269, 0.2844618558883667, 0.052429281175136566, 0.031574469059705734, 0.002958566416054964, 0.7672240138053894, 0.016332682222127914, 0.0539410375058651, 0.008162029087543488, 0.035471487790346146, 0.009748833253979683 ], [ 0.44099313020706177, 0.01897461898624897, 0.09764882177114487, 0.6151074767112732, 0.020744871348142624, 0.0978163406252861, 0.16880223155021667, 0.15666478872299194, 0.07012484967708588, 0.023279668763279915, 0.023996230214834213, 0.019381530582904816, 0.01827346533536911, 0.03240795433521271 ], [ 0.3870644271373749, 0.0077978759072721004, 0.518904983997345, 0.012187600135803223, 0.14560192823410034, 0.07799438387155533, 0.12056070566177368, 0.011708348989486694, 0.05349089950323105, 0.029174847528338432 ], [ 0.4409889876842499, 0.002884798450395465, 0.08503447473049164, 0.00012728420551866293, 0.18229342997074127, 0.0011741224443539977, 0.5610189437866211, 0.07170630246400833, 0.013889389112591743, 0.029673464596271515 ], [ 0.44099265336990356, 0.018974555656313896, 0.12599238753318787, 0.4970860779285431, 0.031197315081954002, 0.11553486436605453, 0.007020418997853994, 0.03496495634317398, 0.0076192342676222324 ], [ 0.4409927725791931, 0.0038467058911919594, 0.08940928429365158, 0.04377874732017517, 0.020868638530373573, 0.00652755331248045, 0.7847428321838379, 0.011525465175509453, 0.04796263203024864, 0.09484999626874924 ], [ 0.38706523180007935, 0.016990356147289276, 0.15639621019363403, 0.01607801578938961, 0.3116162419319153, 0.1982896775007248, 0.060986269265413284, 0.062210813164711, 0.004590899217873812 ], [ 0.38706523180007935, 0.021385466679930687, 0.03172363340854645, 0.10620222240686417, 0.0837639644742012, 0.8232468366622925, 0.06757450848817825, 0.0718916654586792, 0.009629622101783752, 0.2606288492679596, 0.3542763888835907, 0.32655662298202515, 0.19853447377681732, 0.16982723772525787, 0.04221517592668533, 0.07492691278457642, 0.05292944610118866, 0.03194275125861168 ], [ 0.3870636522769928, 0.009151799604296684, 0.02171599119901657, 0.0005373229505494237, 0.6402699947357178, 0.0023839750792831182, 0.07189086824655533, 0.088492751121521, 0.053431298583745956, 0.3087340295314789, 0.0026062203105539083, 0.25500044226646423, 0.006337486207485199 ], [ 0.3870638608932495, 0.025260817259550095, 0.8467758893966675, 0.02779446169734001, 0.10732175409793854, 0.046658944338560104, 0.23780453205108643, 0.008429493755102158, 0.1126997172832489, 0.03179432451725006, 0.04251207783818245, 0.09683328121900558 ] ] }, { "q_id": "8454_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8512475490570068, 0.6056203246116638, 0.9149594306945801 ], [ 0.843030571937561, 0.7551400661468506, 0.9337712526321411 ], [ 0.7799065113067627, 0.06532497704029083, 0.8310153484344482 ], [ 0.8512435555458069, 0.714443027973175, 0.06047933176159859 ], [ 0.871398389339447, 0.5853428244590759, 0.9951142072677612 ], [ 0.4351850152015686, 0.8886662721633911, 0.8363120555877686 ], [ 0.8572173118591309, 0.017912881448864937, 0.45772939920425415, 0.8170172572135925 ], [ 0.7357386350631714, 0.04030665010213852, 0.5720838904380798, 0.9161656498908997 ], [ 0.843032717704773, 0.7227511405944824, 0.9369417428970337 ], [ 0.18051479756832123, 0.7887642979621887 ], [ 0.800679087638855, 0.0626278892159462, 0.8663257360458374 ], [ 0.8430309295654297, 0.8014586567878723, 0.8794224262237549 ], [ 0.717078447341919, 0.891862690448761 ], [ 0.8625919818878174, 0.7931534051895142, 0.9543067216873169 ], [ 0.5818621516227722, 0.8382821083068848 ], [ 0.8478257060050964, 0.7348563075065613, 0.0006118590827099979 ] ] }, { "q_id": "7951_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7443564534187317, 0.9270225763320923, 0.23643764853477478 ], [ 0.7230278253555298, 0.021511228755116463, 0.03060195781290531, 0.0005162528250366449, 0.8093958497047424, 0.03447684273123741, 0.0009628994739614427, 0.0508844368159771, 0.004884534049779177, 0.061653293669223785, 0.023830169811844826 ], [ 0.5628291964530945, 0.9719375967979431, 0.02782825566828251, 0.8898472785949707, 0.7970602512359619, 0.5228750705718994, 0.2416713684797287, 0.09949943423271179, 0.9520496129989624, 0.9798806309700012 ], [ 0.9816692471504211, 0.05677878111600876, 0.2154766172170639, 0.11984720826148987, 0.013590374030172825 ], [ 0.9758541584014893, 0.16114284098148346, 0.032617613673210144, 0.10413073748350143, 0.17777951061725616, 0.02043301984667778, 0.11730890721082687, 0.024834221228957176 ], [ 0.9812356233596802, 0.2296617329120636, 0.04838244244456291, 0.10418719798326492, 0.013993820175528526 ], [ 0.4246067702770233, 0.0282890684902668, 0.0865163803100586, 0.11476670950651169, 0.014113952405750751 ], [ 0.47297942638397217, 0.00600780826061964, 0.05330641567707062, 0.005705918651074171, 0.9899688363075256, 0.03241616114974022, 0.028961941599845886, 0.10056031495332718, 0.08183066546916962, 0.02573753148317337 ], [ 0.3396663963794708, 0.24439190328121185, 0.1683315932750702, 0.01809624582529068, 0.0045881085097789764 ], [ 0.9265314340591431, 0.01528595108538866 ], [ 0.9250293970108032, 0.03894178941845894, 0.1532352864742279, 0.2029133141040802, 0.02368917316198349, 0.11248579621315002, 0.030937323346734047 ], [ 0.9046390056610107, 0.04430826008319855, 0.10777875036001205, 0.08796698600053787, 0.023738034069538116 ], [ 0.38678479194641113, 0.33871254324913025, 0.06724799424409866, 0.9841145277023315, 0.23695108294487, 0.8586785197257996, 0.9771759510040283, 0.20782089233398438 ], [ 0.8131363391876221, 0.023754294961690903, 0.1869463473558426, 0.13629116117954254, 0.029234658926725388, 0.022762836888432503, 0.0027008226606994867 ], [ 0.4246070086956024, 0.01633940078318119, 0.11925850808620453, 0.051764849573373795, 0.015204892493784428 ] ] }, { "q_id": "8910_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.8947104811668396, 0.9698660373687744, 0.998878538608551, 0.9997130036354065 ], [ 0.9745012521743774, 0.8676589131355286, 0.4579739272594452, 0.9982511401176453, 0.9999033212661743 ], [ 0.9745014905929565, 0.029879508540034294, 0.024194909259676933, 0.3155754804611206, 0.9955345392227173, 0.9996387958526611 ], [ 0.9745014905929565, 0.03983352333307266, 0.11721226572990417, 0.9981651902198792, 0.9999186992645264 ], [ 0.9139531254768372, 0.9866281151771545, 0.9989903569221497, 0.9996453523635864 ], [ 0.9676933884620667, 0.3517290949821472, 0.09228044748306274, 0.37907305359840393, 0.9975715279579163, 0.9998897314071655 ], [ 0.9745015501976013, 0.037738461047410965, 0.067023366689682, 0.9978863596916199, 0.999760091304779 ], [ 0.9745016694068909, 0.7358794808387756, 0.28156763315200806, 0.9982215762138367, 0.9998677968978882 ], [ 0.97450190782547, 0.33506330847740173, 0.010037175379693508, 0.4706375300884247, 0.013141069561243057, 0.9985407590866089, 0.9998941421508789 ], [ 0.9745016694068909, 0.07423169910907745, 0.5253303050994873, 0.9984330534934998, 0.9998675584793091 ], [ 0.9676933884620667, 0.9452864527702332, 0.9985047578811646, 0.9998776912689209 ], [ 0.9745014905929565, 0.9992454051971436, 0.9998526573181152 ], [ 0.9676935076713562, 0.021226361393928528, 0.8510282039642334, 0.9980270266532898, 0.9998531341552734 ], [ 0.9863258004188538, 0.9989150762557983, 0.9997001886367798 ], [ 0.9676936268806458, 0.027836615219712257, 0.07054983824491501, 0.9339567422866821, 0.05226273089647293, 0.9983012080192566, 0.9998067021369934 ], [ 0.9745014905929565, 0.021996229887008667, 0.7580351233482361, 0.9975149631500244, 0.9998430013656616 ] ] }, { "q_id": "8917_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5854573249816895, 0.06646591424942017, 0.04222435504198074, 0.8975677490234375, 0.17059758305549622, 0.20433127880096436, 0.6260188221931458, 0.10572797805070877, 0.34938356280326843, 0.9458099603652954, 0.9991785883903503 ], [ 0.38606804609298706, 0.8094634413719177, 0.9832494258880615, 0.9983487129211426 ], [ 0.3749558627605438, 0.7892476916313171, 0.9838601350784302, 0.9983372688293457 ], [ 0.44114184379577637, 0.2423296570777893, 0.737950325012207, 0.9835487008094788, 0.9990202188491821 ], [ 0.3645397126674652, 0.8375189304351807, 0.9918966889381409, 0.9992460012435913 ], [ 0.16526354849338531, 0.17734172940254211, 0.7245674729347229, 0.9676554799079895, 0.998794674873352 ], [ 0.6372936964035034, 0.010060803964734077, 0.3880784511566162, 0.820481538772583, 0.9892325401306152, 0.9994056224822998 ], [ 0.3303050398826599, 0.5922536849975586, 0.9883809089660645, 0.9990615248680115 ], [ 0.3501680791378021, 0.832711398601532, 0.9896636605262756, 0.999117910861969 ], [ 0.5854556560516357, 0.8078791499137878, 0.5302578806877136, 0.9448503255844116, 0.9992935657501221 ], [ 0.3827612102031708, 0.8189446926116943, 0.9855803847312927, 0.9984055161476135 ], [ 0.5854548811912537, 0.7986633777618408, 0.558524489402771, 0.9342643022537231, 0.9991888403892517 ], [ 0.3749331533908844, 0.8546675443649292, 0.990922749042511, 0.9992955923080444 ], [ 0.3625769019126892, 0.6873285174369812, 0.995130181312561, 0.9996480941772461 ], [ 0.25042590498924255, 0.28649401664733887, 0.7345107197761536, 0.9861852526664734, 0.9994152784347534 ], [ 0.37162256240844727, 0.8517144322395325, 0.9910110235214233, 0.9992594122886658 ] ] }, { "q_id": "7852_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9939401149749756, 0.04241107404232025, 0.051181063055992126 ], [ 0.037688106298446655, 0.6210630536079407, 0.9946183562278748 ], [ 0.9867896437644958, 0.007040785625576973, 0.009673057124018669, 0.01747150346636772, 0.00604733033105731, 0.8061664700508118 ], [ 0.6428905129432678, 0.005787882953882217, 0.004606488160789013, 0.005092985928058624, 0.013752407394349575, 0.0273442305624485, 0.9901890158653259 ], [ 0.06023877114057541, 0.009011393412947655, 0.015294616110622883, 0.18505974113941193, 0.4027276635169983, 0.9910509586334229 ], [ 0.01790902391076088, 0.021285561844706535, 0.01862204633653164, 0.8613670468330383, 0.994212806224823 ], [ 0.07505429536104202, 0.0057422020472586155, 0.04768011346459389, 0.0013454643776640296, 0.010196352377533913, 0.0016367308562621474, 0.006404825486242771, 0.05014438554644585, 0.17658491432666779, 0.9916979074478149 ], [ 0.9867895245552063, 0.009144456125795841, 0.0162358395755291, 0.034848764538764954, 0.7481696009635925 ], [ 0.01557528879493475, 0.03488171845674515, 0.14099818468093872, 0.9922031164169312 ], [ 0.07505492866039276, 0.012802990153431892, 0.005124341230839491, 0.008302191272377968, 0.06540967524051666, 0.9691013097763062, 0.9952318072319031 ], [ 0.029367871582508087, 0.06356814503669739, 0.03335202857851982, 0.02473742887377739, 0.6652214527130127, 0.9954928159713745 ], [ 0.9939398765563965, 0.3972601294517517, 0.006994605530053377, 0.00990837812423706, 0.010705598630011082, 0.029263345524668694 ], [ 0.0200132355093956, 0.014691874384880066, 0.006270446814596653 ], [ 0.989738404750824, 0.012547969818115234, 0.01440874207764864, 0.006361131090670824, 0.1848120540380478, 0.9778752326965332 ], [ 0.07364699989557266, 0.007724430412054062, 0.011183133348822594, 0.019952865317463875, 0.335286021232605, 0.9913296699523926 ], [ 0.013993107713758945, 0.9885926246643066 ] ] }, { "q_id": "8757_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5036088824272156, 0.04703868180513382, 0.42513924837112427, 0.12290113419294357, 0.00046329398173838854, 0.49278023838996887, 0.010579708963632584, 0.9989711046218872, 0.999893069267273 ], [ 0.503609836101532, 0.0257843267172575, 0.0208674818277359, 0.9445717930793762, 0.8520877361297607, 0.01184043288230896, 0.028865935280919075, 0.9988896250724792, 0.9998929500579834 ], [ 0.5036126971244812, 0.0472276546061039, 0.1341731995344162, 0.4769638478755951, 0.3423713743686676, 0.0013813285622745752, 0.37956318259239197, 0.08362683653831482, 0.9986003041267395, 0.9998842477798462 ], [ 0.5036129355430603, 0.2907823920249939, 0.10059525817632675, 0.0006162578356452286, 0.14599080383777618, 0.0037258269730955362, 0.9989429116249084, 0.9998708963394165 ], [ 0.14142297208309174, 0.2902577519416809, 0.02186688408255577, 0.9982536435127258, 0.9998564720153809 ], [ 0.5036138892173767, 0.06611321866512299, 0.021325821056962013, 0.9239585995674133, 0.8489279747009277, 0.03025199845433235, 0.0019434717250987887, 0.20111791789531708, 0.3181697726249695, 0.05144285038113594, 0.004255895968526602, 0.9981233477592468, 0.9997963309288025 ], [ 0.4421321153640747, 0.32429516315460205, 0.3717147409915924, 0.009633079171180725, 0.9989412426948547, 0.9998480081558228 ], [ 0.5036107897758484, 0.06165756657719612, 0.012998637743294239, 0.9012388586997986, 0.8650822043418884, 0.02857653982937336, 0.0023144655860960484, 0.022140631452202797, 0.998562753200531, 0.999885082244873 ], [ 0.7926960587501526, 0.49734464287757874, 0.9964296221733093, 0.9995531439781189 ], [ 0.4421314001083374, 0.32429370284080505, 0.39321550726890564, 0.005851874127984047, 0.30977174639701843, 0.00679710041731596, 0.9969417452812195, 0.9996671676635742 ], [ 0.4421372711658478, 0.30953750014305115, 0.013221838511526585, 0.3882408142089844, 0.005805228371173143, 0.09853193163871765, 0.027997808530926704, 0.9986942410469055, 0.9998500347137451 ], [ 0.5036131739616394, 0.10963714867830276, 0.019847111776471138, 0.9363807439804077, 0.8449791073799133, 0.01487403642386198, 0.02790435031056404, 0.9987813830375671, 0.9998881816864014 ], [ 0.5036110281944275, 0.06611380726099014, 0.021325495094060898, 0.8217038512229919, 0.032184816896915436, 0.00506576057523489, 0.033628132194280624, 0.9985846281051636, 0.9998749494552612 ], [ 0.19785824418067932, 0.34472647309303284, 0.05954010784626007, 0.9989503026008606, 0.9998793601989746 ], [ 0.5036072134971619, 0.0661144033074379, 0.019078757613897324, 0.9136096239089966, 0.8485978841781616, 0.032822903245687485, 0.0032484482508152723, 0.0262649804353714, 0.0037308356259018183, 0.9983874559402466, 0.999875545501709 ], [ 0.5036088824272156, 0.2907812297344208, 0.11825665831565857, 0.0014965208247303963, 0.39392951130867004, 0.08816182613372803, 0.9984808564186096, 0.9998916387557983 ] ] }, { "q_id": "8246_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.4394136369228363, 0.9984474778175354, 0.9998981952667236 ], [ 0.6439037322998047, 0.9987000226974487, 0.9999165534973145 ], [ 0.43941619992256165, 0.9982976317405701, 0.9998857975006104 ], [ 0.46066007018089294, 0.9987186193466187, 0.9999067783355713 ], [ 0.9987720847129822, 0.9999085664749146 ], [ 0.41535210609436035, 0.9977243542671204, 0.9998816251754761 ], [ 0.83050137758255, 0.22974921762943268, 0.14722836017608643, 0.9983112812042236, 0.9999336004257202 ], [ 0.3461631238460541, 0.9961191415786743, 0.9998970031738281 ], [ 0.43941575288772583, 0.9984475374221802, 0.9998981952667236 ], [ 0.3461616337299347, 0.9970058798789978, 0.9999079704284668 ], [ 0.43941715359687805, 0.9976933598518372, 0.9998953342437744 ], [ 0.4394150376319885, 0.9982976317405701, 0.9998857975006104 ], [ 0.43941763043403625, 0.9984031319618225, 0.9999005794525146 ], [ 0.9992430210113525, 0.9998998641967773 ], [ 0.8305019736289978, 0.2178093045949936, 0.9985761642456055, 0.9999325275421143 ], [ 0.5620189905166626, 0.9986751675605774, 0.9999144077301025 ] ] }, { "q_id": "8110_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15 ], "rewards": [ [ 0.35146647691726685, 0.00035700059379450977, 0.0023625786416232586, 0.4738641083240509, 0.0032817975152283907, 0.05024182051420212, 0.34045711159706116, 0.00626757089048624, 0.9815172553062439, 0.7721216678619385 ], [ 0.006418124306946993, 0.2489486038684845, 0.0018984517082571983, 0.00030132196843624115, 0.02635946311056614, 0.07975030690431595, 0.1359911412000656, 0.9398611187934875, 0.0472446084022522 ], [ 0.42116236686706543, 5.3593601478496566e-05, 0.26092687249183655, 0.0005383108509704471, 0.011676990427076817, 0.0013610096648335457, 0.005406595300883055, 0.0014635315164923668, 0.022541388869285583, 0.008005564101040363, 0.02805107831954956, 0.005595732014626265 ], [ 0.013455592095851898, 0.34570547938346863, 0.4761394262313843, 0.18510915338993073, 0.7050678133964539, 0.9833089709281921, 0.3075001835823059 ], [ 0.3514660596847534, 0.0005531982169486582, 0.0002477413509041071, 0.15173114836215973, 0.45566219091415405, 0.003277891082689166, 0.032708507031202316, 0.6339382529258728, 0.02545783855021, 0.06254938244819641, 0.20026572048664093, 0.4196203052997589, 0.8853132724761963 ], [ 0.05454495549201965, 0.32873469591140747, 0.2794134318828583, 0.6829854846000671, 0.9370369911193848, 0.7576659917831421 ], [ 0.27344441413879395, 9.593339927960187e-05, 0.18719224631786346, 0.0040398575365543365, 0.3854389190673828, 0.44371330738067627, 0.607222855091095, 0.6356824040412903, 0.9440742135047913, 0.1897534430027008 ], [ 0.23662804067134857, 0.05022791773080826, 0.007486729882657528, 0.18064667284488678, 0.4073997139930725, 0.018707269802689552, 0.0424211211502552, 0.0023966419976204634 ], [ 0.3514651656150818, 0.00030745245749130845, 0.0022202939726412296, 0.4264426529407501, 0.0017372865695506334, 0.017269235104322433, 0.00303128850646317, 0.599514901638031, 0.005268818233162165, 0.3779129981994629, 0.6647375822067261, 0.04981635883450508 ], [ 0.6710252165794373, 0.0006517680594697595, 0.7045623064041138, 0.0008245861972682178, 0.012845473363995552, 0.5938910841941833, 0.37764212489128113, 0.6628597378730774, 0.9285860061645508 ], [ 0.35146787762641907, 0.0009314167546108365, 0.24215400218963623, 0.564302921295166, 0.0002559415006544441, 0.006368707865476608, 0.4545539915561676, 0.5402997732162476, 0.1932830512523651, 0.5974912643432617, 0.19315311312675476 ], [ 0.48094719648361206, 5.2815055823884904e-05, 0.22173473238945007, 0.0029838657937943935, 0.6666139960289001, 0.32893139123916626, 0.6253556609153748, 0.9935903549194336, 0.6657671928405762 ], [ 0.3514639735221863, 0.0003074539126828313, 0.0048973448574543, 0.505403995513916, 0.002133582951501012, 0.03727353364229202, 0.004536071326583624, 0.6794605851173401, 0.008630221709609032, 0.3750797212123871, 0.7090436816215515, 0.2309504896402359 ], [ 0.618924617767334, 0.0001425477530574426, 0.539758026599884, 0.007325936574488878, 0.29123830795288086, 0.023143015801906586, 0.24397625029087067, 0.05390650033950806, 0.5254745483398438, 0.7469231486320496 ], [ 0.3514639735221863, 0.0003074539126828313, 0.005666008684784174, 0.015025626868009567, 0.23572275042533875, 0.6208622455596924, 0.00273657264187932, 0.0036696488969027996, 0.043157972395420074, 0.006086031440645456, 0.5985023975372314, 0.011304829269647598, 0.23102717101573944, 0.2873780131340027, 0.30526474118232727 ] ] }, { "q_id": "7840_mmlu_math", "cot_ids": [ 3, 4, 5, 7, 8, 9, 10, 14, 15 ], "rewards": [ [ 0.7574685215950012, 0.987653911113739, 0.876056969165802 ], [ 0.7574679851531982, 0.4755980670452118, 0.05935712531208992, 0.1415526568889618, 0.009452152997255325, 0.2656174600124359, 0.13545507192611694, 0.020528947934508324, 0.007574168499559164 ], [ 0.021345218643546104, 0.0036924968007951975 ], [ 0.9907373785972595, 0.9363792538642883 ], [ 0.9884804487228394, 0.7155419588088989 ], [ 0.996204674243927, 0.9617248177528381 ], [ 0.9957754015922546, 0.968272864818573 ], [ 0.9772977828979492, 0.23163926601409912 ], [ 0.9907165169715881, 0.9425391554832458 ] ] }, { "q_id": "8841_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.09272824227809906, 0.0014904261333867908, 0.006781431846320629, 0.00367410434409976, 0.017255354672670364, 0.005491240415722132, 0.022701671347022057, 0.003036163281649351 ], [ 0.0927286446094513, 0.0012007647892460227, 0.008474919945001602, 0.0036519018467515707, 0.014285465702414513, 0.003672421909868717, 0.02215208113193512, 0.002897265600040555 ], [ 0.09272896498441696, 0.0008509819745086133, 0.004463274963200092, 0.0189293771982193, 0.0512428805232048, 0.0033953001257032156, 0.05087193101644516, 0.002475080080330372, 0.046184007078409195, 0.0011943443678319454 ], [ 0.09272808581590652, 0.0006803983706049621, 0.00282347877509892, 0.0027081037405878305, 0.011997602880001068, 0.041826970875263214, 0.059969909489154816, 0.014064195565879345, 0.04415765032172203, 0.0014154460513964295, 0.00034172608866356313, 0.025302331894636154, 0.002190148225054145 ], [ 0.09272760897874832, 0.0020321509800851345, 0.008808819577097893, 0.004864844493567944, 0.028362495824694633, 0.005871709436178207, 0.01736377365887165, 0.003513008588925004 ], [ 0.09272783994674683, 0.0012007607147097588, 0.008922913111746311, 0.003460570937022567, 0.016578292474150658, 0.005810217931866646, 0.02288167178630829, 0.008624072186648846 ], [ 0.09272804111242294, 0.0012296114582568407, 0.0079515241086483, 0.009344198741018772, 0.012311502359807491, 0.04114602506160736, 0.06801394373178482, 0.010555324144661427, 0.01412271149456501, 0.004627704154700041, 0.0012619621120393276, 0.038679756224155426, 0.9890933036804199 ], [ 0.09272821247577667, 0.001285476959310472, 0.009535621851682663, 0.003763757646083832, 0.009805010631680489, 0.0027822479605674744, 0.021761490032076836, 0.0028584350366145372 ], [ 0.09272884577512741, 0.007696724031120539, 0.007220622152090073, 0.01990884356200695, 0.008415373042225838, 0.020377764478325844, 0.0032789381220936775 ], [ 0.09272760897874832, 0.00203215004876256, 0.009224488399922848, 0.004983603022992611, 0.011270812712609768, 0.003424527822062373, 0.020466182380914688, 0.0034839871805161238 ], [ 0.09272851794958115, 0.0012854622909799218, 0.007041105534881353, 0.003406374016776681, 0.01086389645934105, 0.002325440291315317, 0.022602437064051628, 0.002709483029320836 ], [ 0.09272868931293488, 0.002933461917564273, 0.011091746389865875, 0.004872529301792383, 0.02281731367111206, 0.003423032583668828, 0.004721059463918209, 0.021091850474476814, 0.0038939493242651224 ], [ 0.09272792935371399, 0.0013775475090369582, 0.012433008290827274, 0.028275150805711746, 0.02246161922812462, 0.008310090750455856, 0.05276555195450783, 0.002604797715321183, 0.336513489484787, 0.0011864964617416263, 0.2544387876987457, 0.03779714182019234, 0.0025225712452083826 ], [ 0.09272752702236176, 0.001153484801761806, 0.006754986476153135, 0.004161463119089603, 0.03382273018360138, 0.004904893692582846, 0.024143703281879425, 0.0031255411449819803 ], [ 0.09272824227809906, 0.0012007756158709526, 0.004233963321894407, 0.0020774018485099077, 0.02665691263973713, 0.0010503553785383701, 0.01824813522398472, 0.04460915923118591, 0.023514773696660995, 0.003909557592123747, 0.009030139073729515, 0.006194881163537502 ], [ 0.09272840619087219, 0.0012007539626210928, 0.004011752083897591, 0.007595269940793514, 0.02284754067659378, 0.0020542636048048735, 0.08981627225875854, 0.12547001242637634, 0.003701529698446393, 0.0015946044586598873, 0.06672981381416321, 0.0012520183809101582 ] ] }, { "q_id": "8116_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.14472325146198273, 0.30458134412765503, 0.0038235445972532034, 0.09133527427911758, 0.9096471667289734, 0.9997612833976746 ], [ 0.0017681916942819953, 0.01875125616788864, 0.024345634505152702, 0.001073856488801539, 0.052748680114746094, 0.10285750031471252, 0.9862215518951416, 0.9998996257781982 ], [ 0.8695006966590881, 0.07160521298646927, 0.0012504570186138153, 0.11588867753744125, 0.04419455677270889, 0.999734103679657 ], [ 0.9126937985420227, 0.04510745778679848, 0.0027153752744197845, 0.11241869628429413, 0.9912211894989014, 0.999923825263977 ], [ 0.8981489539146423, 0.04988054558634758, 0.2375863641500473, 0.999626636505127 ], [ 0.7709519863128662, 0.2561964988708496, 0.0015054711839184165, 0.0848001092672348, 0.035882510244846344, 0.9995916485786438 ], [ 0.14832930266857147, 0.07737136632204056, 0.26299312710762024, 0.7905219793319702, 0.9997428059577942 ], [ 0.09302827715873718, 0.040065258741378784, 0.0008944916189648211, 0.017131006345152855, 4.2729865526780486e-05, 0.06850429624319077, 4.033780351164751e-05, 0.024976622313261032, 0.02247619815170765, 0.1736440509557724, 0.0006358911050483584 ], [ 0.953722357749939, 0.0025444317143410444, 0.1950315684080124, 0.9989020824432373 ], [ 0.12110585719347, 0.10507602989673615, 0.09721603244543076, 0.9449708461761475, 0.9998308420181274 ], [ 0.9430850744247437, 0.07887310534715652, 0.0017783340299502015, 0.14001722633838654, 0.6087796688079834, 0.9997839331626892 ], [ 0.12414523214101791, 0.19421972334384918, 0.017741011455655098, 0.0582273006439209, 0.19867882132530212, 0.9995773434638977 ], [ 0.9695796370506287, 0.05562201887369156, 0.16773419082164764, 0.03337936848402023, 0.9876924157142639, 0.9997766613960266 ], [ 0.7769361734390259, 0.04931163042783737, 0.0017455643974244595, 0.0011018061777576804, 0.0018555535934865475, 9.72473844740307e-06, 0.05035778880119324, 0.7013734579086304, 0.9998688697814941 ], [ 0.914695680141449, 0.07258728891611099, 0.08211474865674973, 0.9816992282867432, 0.9997548460960388 ], [ 0.9591406583786011, 0.7622735500335693, 0.9998414516448975 ] ] }, { "q_id": "8306_mmlu_math", "cot_ids": [ 1, 2, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.16366788744926453, 0.045276667922735214, 0.19425150752067566, 0.6741604208946228, 0.08043256402015686, 0.009493501856923103 ], [ 0.8369717597961426, 0.003048752201721072, 0.007093834225088358, 0.0002904603607021272, 0.00011389451537979767, 0.23452305793762207, 0.0008191913366317749, 0.03393528610467911, 0.014749187044799328, 0.027808886021375656, 0.07152169197797775, 0.09911348670721054, 0.014904060401022434, 0.09665291756391525, 0.11252521723508835, 0.015077278949320316, 0.0007203800487332046 ], [ 0.5198351740837097, 0.00013040930207353085, 0.021315831691026688, 0.009417468681931496, 0.02829018235206604, 0.5196296572685242, 0.2558806836605072, 0.09228900074958801, 0.19631050527095795, 0.17046409845352173, 0.2371176928281784, 0.15854811668395996, 0.3017510175704956, 0.047731321305036545, 0.0038160744588822126 ], [ 0.17010615766048431, 0.01938580721616745, 0.14655134081840515, 0.2206716686487198, 0.0131028788164258, 0.10439958423376083, 0.18445146083831787, 0.03486708551645279, 0.0016897523310035467 ], [ 0.4475766718387604, 0.0002398745418759063, 0.16284383833408356, 0.05226894095540047, 0.06806047260761261, 0.29175785183906555, 0.007629780098795891, 0.0029330102261155844 ], [ 0.0973699539899826, 0.007478014566004276, 0.30360305309295654, 0.0006111171678639948, 0.24771569669246674, 0.012346592731773853, 0.7654561996459961, 0.8165031671524048, 0.8747662901878357, 0.0033188103698194027 ], [ 0.8073360919952393, 0.0030446837190538645, 0.013021213933825493, 0.00027238851180300117, 3.0407087251660414e-05, 0.18334490060806274, 0.030573682859539986, 0.015462733805179596, 0.005723209120333195, 0.2166784703731537, 0.02796798199415207, 0.012588724493980408, 0.02946275658905506, 0.17460837960243225, 0.12476389855146408, 0.23059305548667908, 0.29568710923194885, 0.014516188763082027, 0.0007611695327796042 ], [ 0.8369730114936829, 0.005422641988843679, 0.08223731815814972, 0.42756757140159607, 0.18645919859409332, 0.3512897491455078, 0.06542231887578964, 0.9732813835144043, 0.0014926923904567957 ], [ 0.8073353171348572, 0.00402611680328846, 0.013707851991057396, 0.00022671822807751596, 0.20247673988342285, 0.0022134927567094564, 0.4137824773788452, 0.007707793265581131, 0.002382696373388171, 0.834915816783905, 0.005912806373089552, 0.05517295375466347, 0.2373526394367218, 0.04653775691986084, 0.005888181738555431 ], [ 0.42362090945243835, 0.38125622272491455, 0.06731095165014267, 0.055612530559301376, 0.03440724313259125, 0.0036212413106113672 ], [ 0.7368429899215698, 0.44976478815078735, 0.25331729650497437, 0.02934184856712818, 0.49399250745773315, 0.03775419294834137, 0.10223698616027832, 0.04113110527396202, 0.044845350086688995, 0.0029217975679785013 ], [ 0.33296331763267517, 0.2167765200138092, 0.23035532236099243, 0.1587803065776825, 0.0355941541492939, 0.003681306494399905 ] ] }, { "q_id": "8855_mmlu_math", "cot_ids": [ 1, 2, 3, 4, 6, 9, 14, 15 ], "rewards": [ [ 0.9456208348274231, 0.47419267892837524, 0.5100417733192444, 0.94476318359375, 0.9491637945175171 ], [ 0.2502176761627197, 0.0018041167641058564, 0.08713535964488983, 0.010320133529603481, 0.1345314383506775, 0.005647359881550074, 0.42805758118629456, 0.14466813206672668, 0.24723535776138306 ], [ 0.9259887337684631, 0.9834871292114258, 0.9749007821083069 ], [ 0.2502211630344391, 0.001804108265787363, 0.11467993259429932, 0.010704093612730503, 0.09101085364818573, 0.0070128245279192924, 0.01934727467596531, 0.018257372081279755, 0.04082725942134857, 0.05846470966935158, 0.04022793099284172 ], [ 0.2502208948135376, 0.0018041441217064857, 0.13077962398529053, 0.015464127995073795, 0.10951720923185349, 0.0014643414178863168, 0.037964776158332825, 0.0010577304055914283, 0.0049943020567297935, 0.17441026866436005, 0.001829328597523272, 0.11998926848173141, 0.005109012592583895 ], [ 0.2502208948135376, 0.0018041151342913508, 0.17609789967536926, 0.009293046779930592, 0.1163584291934967, 0.09838658571243286, 0.8822259306907654, 0.6694682836532593 ], [ 0.25021713972091675, 0.0018041320145130157, 0.11938589066267014, 0.01281261071562767, 0.1363869607448578, 0.3677646517753601, 0.0037418585270643234, 0.8333606123924255, 0.8909200429916382 ], [ 0.3541960120201111, 0.02357218973338604, 0.04544048383831978, 0.025379754602909088, 0.10675373673439026, 0.062232933938503265, 0.094030000269413, 0.048919349908828735 ] ] }, { "q_id": "8267_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.7269572615623474, 0.056104615330696106, 0.8867166042327881, 0.9936286807060242 ], [ 0.4055331349372864, 0.06796441227197647, 0.8351664543151855, 0.9897514581680298 ], [ 0.38795071840286255, 0.06803838908672333, 0.8424467444419861, 0.9914205074310303 ], [ 0.7338241934776306, 0.0608644001185894, 0.8887757658958435, 0.9928024411201477 ], [ 0.7547372579574585, 0.06038786843419075, 0.8831156492233276, 0.9930707812309265 ], [ 0.10193578153848648, 0.8952574729919434, 0.9891484379768372 ], [ 0.5702401995658875, 0.056204043328762054, 0.8571316599845886, 0.9896867871284485 ], [ 0.5466539263725281, 0.09447640180587769, 0.7585136890411377, 0.907611072063446 ], [ 0.6603069305419922, 0.06166526675224304, 0.9122294187545776, 0.9910447597503662 ], [ 0.7905935049057007, 0.0584423765540123, 0.8987799286842346, 0.9939907789230347 ], [ 0.7905905246734619, 0.055279918015003204, 0.901006281375885, 0.9930471777915955 ], [ 0.9705420136451721, 0.20877709984779358, 0.9903897643089294, 0.017359258607029915 ], [ 0.743899405002594, 0.05652877688407898, 0.8921440839767456, 0.9933674931526184 ], [ 0.40553608536720276, 0.05836645886301994, 0.8555317521095276, 0.9914618730545044 ], [ 0.8201845288276672, 0.09821443259716034, 0.15116523206233978, 0.007967107929289341 ], [ 0.40553539991378784, 0.058366697281599045, 0.8555324077606201, 0.9914618730545044 ] ] }, { "q_id": "8645_mmlu_math", "cot_ids": [ 1, 3, 4, 5, 7, 9, 10, 11, 12, 14, 15 ], "rewards": [ [ 0.1645120084285736, 0.19633691012859344, 0.23064330220222473, 0.09021010249853134, 0.690936267375946, 0.1024533063173294, 0.17770075798034668, 0.062202487140893936, 0.9920061230659485, 0.9985124468803406 ], [ 0.5357730984687805, 0.19914284348487854, 0.11999718099832535, 0.2656705677509308, 0.15014444291591644, 0.48862531781196594, 0.10289482027292252, 0.1324760913848877, 0.3103128969669342, 0.004707914777100086, 0.0018229836132377386 ], [ 0.5260748267173767, 0.11603410542011261, 0.23351706564426422, 0.30508536100387573, 0.13982602953910828, 0.1643223613500595, 0.24848787486553192, 0.4347579777240753, 0.006511709187179804, 0.5425381064414978, 0.0879785344004631, 0.10479056090116501, 0.0635797530412674, 0.27664119005203247, 0.0873849093914032, 0.20434601604938507, 0.36878079175949097, 0.2415701150894165, 0.9963275790214539, 0.9993637204170227 ], [ 0.5718121528625488, 0.13362640142440796, 0.2862202823162079, 0.002090425929054618, 0.5495871305465698, 0.12233269214630127, 0.07799555361270905, 0.2051239311695099, 0.27118921279907227, 0.9960408210754395, 0.998496413230896 ], [ 0.5047739148139954, 0.28462880849838257, 0.0015131444670259953, 0.05367109179496765, 0.2218855321407318, 0.07581847906112671, 0.1716720014810562, 0.9941465854644775, 0.99893718957901 ], [ 0.430853933095932, 0.1122436597943306, 0.22835834324359894, 0.08558112382888794, 0.9944117665290833, 0.9982559084892273 ], [ 0.25025856494903564, 0.1948002725839615, 0.08961961418390274, 0.9953044652938843, 0.9984614849090576 ], [ 0.572985053062439, 0.22638320922851562, 0.28255245089530945, 0.34434816241264343, 0.1019715815782547, 0.17131373286247253, 0.9861733913421631, 0.9975851774215698 ], [ 0.5311011075973511, 0.02628403902053833, 0.08893299847841263, 0.13149647414684296, 0.03690239042043686, 0.09164906293153763, 0.1958869844675064, 0.6783879399299622, 0.0002589201321825385, 0.0001890453277155757, 0.39986175298690796, 0.017750021070241928, 0.08216903358697891, 0.045586295425891876, 0.0026226495392620564, 0.023029880598187447, 0.031970586627721786, 0.49170953035354614, 0.9926422238349915 ], [ 0.46651291847229004, 0.2821684777736664, 0.16634465754032135, 0.0883365124464035, 0.09068966656923294, 0.4662236273288727, 0.9936354160308838, 0.9983546137809753 ], [ 0.41765299439430237, 0.3002791106700897, 0.0924193263053894, 0.6002054214477539, 0.9934250116348267, 0.9976703524589539 ] ] }, { "q_id": "8240_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.964862585067749, 0.9845238327980042, 0.927743136882782, 0.9954943656921387, 0.007386172190308571 ], [ 0.9741076827049255, 0.9962385892868042, 0.0680064707994461 ], [ 0.9961594343185425, 0.9897281527519226, 0.010878895409405231 ], [ 0.9819034337997437, 0.9960917830467224, 0.07136731594800949 ], [ 0.9919995665550232, 0.9738831520080566, 0.3437567949295044, 0.9923338890075684, 0.012032045982778072 ], [ 0.9922240972518921, 0.43339285254478455, 0.972392201423645, 0.03827381879091263 ], [ 0.996069073677063, 0.9848563075065613, 0.011963843367993832 ], [ 0.9959362745285034, 0.9948790073394775, 0.0634499117732048 ], [ 0.9766165614128113, 0.9855388402938843, 0.11105578392744064, 0.44275933504104614, 0.964638888835907, 0.012504177168011665 ], [ 0.9959362745285034, 0.8337613344192505, 0.7212852239608765, 0.9030219316482544, 0.7719877362251282, 0.9597148895263672, 0.010004089213907719 ], [ 0.9949705004692078, 0.9537838101387024, 0.87879878282547, 0.9746829867362976, 0.06144215539097786 ], [ 0.9856393337249756, 0.9431694746017456, 0.9970526695251465, 0.028758684173226357 ], [ 0.9973965883255005, 0.9932913780212402, 0.06350692361593246 ], [ 0.9956173896789551, 0.9967288970947266, 0.16020475327968597 ], [ 0.9969248175621033, 0.9829649329185486, 0.012580263428390026 ], [ 0.9959361553192139, 0.9429796934127808, 0.9743196964263916, 0.013245993293821812 ] ] }, { "q_id": "9040_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9923960566520691, 0.19499795138835907, 0.00012417088146321476, 0.0769735723733902, 0.011360959149897099, 0.05978225916624069, 0.0013676929520443082, 0.010980789549648762, 0.038089245557785034, 0.005032076966017485, 0.008265846408903599, 0.0003991790290456265 ], [ 0.9371433258056641, 0.20333364605903625, 0.00035548233427107334, 0.13101504743099213, 0.10299389064311981, 6.061220483388752e-05, 0.01230708509683609, 0.9996504783630371 ], [ 0.9032648205757141, 0.16271886229515076, 0.8722525238990784, 0.23461994528770447, 0.14385385811328888, 0.0982232615351677, 0.001954907551407814, 0.0005298685282468796 ], [ 0.7925081253051758, 0.20964881777763367, 0.0006606168462894857, 0.1104271188378334, 0.1722400188446045, 0.00017438779468648136, 0.08231548219919205, 0.9997822642326355 ], [ 0.9599080681800842, 0.07466768473386765, 0.25389930605888367, 0.0032649189233779907, 0.18692126870155334, 0.1116449311375618, 0.001440883264876902, 0.05034572631120682, 0.04344860464334488, 0.9997759461402893 ], [ 0.7653485536575317, 0.04069935530424118, 0.0962705910205841, 0.13564454019069672, 0.0015526023926213384, 0.0015723806573078036, 0.01091799046844244, 0.10599635541439056, 0.07117753475904465, 0.18674741685390472, 0.004418839700520039, 0.03573601692914963, 0.0002112980728270486, 0.04673302546143532, 0.9997801184654236 ], [ 0.9041858911514282, 0.017664121463894844, 0.3519830107688904, 0.0006088170921429992, 0.290220707654953, 0.018431538715958595, 0.008878867141902447, 0.025987951084971428, 0.006696344818919897, 0.00461939349770546, 0.00047138554509729147 ], [ 0.8589801788330078, 0.353622168302536, 0.045895349234342575, 0.2131841778755188, 0.00022797677956987172, 0.05031260848045349, 0.126273512840271, 0.0102850291877985, 0.06782925128936768, 4.6264976845122874e-05, 0.08346177637577057, 0.9997170567512512 ], [ 0.896833062171936, 0.007163303904235363, 0.006532248575240374, 0.15546412765979767, 0.002985491883009672, 0.41380074620246887, 0.0008453227928839624, 0.0013025538064539433, 0.002120926510542631, 0.32653626799583435, 0.00774433882907033, 0.010892247781157494, 0.032049618661403656, 0.9995747208595276 ], [ 0.8968307971954346, 0.00168940972071141, 0.26582470536231995, 0.006887712981551886, 0.003860413795337081, 0.06013859063386917, 0.0012699873186647892, 0.04268426448106766, 0.018320055678486824, 0.013611088506877422, 0.016023997217416763, 0.9997475743293762 ], [ 0.7861865162849426, 0.008847041986882687, 0.05173323303461075, 0.0033872826024889946, 0.2127196341753006, 0.0008491129847243428, 0.27638009190559387, 0.07464363425970078, 0.00878940150141716, 0.00031790099455974996 ], [ 0.896830677986145, 0.007163358386605978, 0.014164546504616737, 0.010590409860014915, 0.04149484261870384, 0.03447747603058815, 0.05821383744478226, 0.20312201976776123, 0.008320774883031845, 0.04006624594330788, 0.0016287520993500948, 0.00020805757958441973, 0.233099564909935, 0.024732138961553574, 0.0032074267510324717, 0.06718724220991135, 0.999752938747406 ], [ 0.7925082445144653, 0.006297930143773556, 0.012691923417150974, 0.005416979547590017, 0.024595260620117188, 0.026387430727481842, 0.04583617299795151, 0.1452638953924179, 0.0034175256732851267, 0.0032689215149730444, 0.0023505163844674826, 0.22625112533569336, 0.009580278769135475, 0.0015697635244578123, 0.012348087504506111, 0.0013956133043393493, 0.00101973838172853, 0.14327958226203918, 0.9998030066490173 ], [ 0.991182804107666, 0.49671700596809387, 0.5190868973731995, 0.004404278006404638, 0.05798817053437233, 0.0011989710619673133, 0.21432137489318848, 0.000839056505355984, 0.1793653517961502, 0.0003233911411371082, 0.9977756142616272, 0.999879002571106 ], [ 0.7925102114677429, 0.006297846790403128, 0.22067421674728394, 0.009099832735955715, 0.021932855248451233, 0.2962613105773926, 0.0019503997173160315, 0.0006628370028920472, 0.04256224259734154, 0.1923157125711441, 0.00616949750110507, 0.00027938111452385783, 0.03348312899470329, 0.028674524277448654, 0.1392088681459427, 0.9997602105140686 ] ] }, { "q_id": "8220_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.6344439387321472, 0.22219900786876678, 0.1058119609951973, 0.999200165271759, 0.9999123811721802 ], [ 0.6344473958015442, 0.00044707904453389347, 0.1287931501865387, 0.01729150488972664, 0.999047577381134, 0.9999120235443115 ], [ 0.6344467401504517, 0.01730610989034176, 0.3519079089164734, 0.13737648725509644, 0.11301815509796143, 0.01764531619846821, 0.9992026686668396, 0.9999116659164429 ], [ 0.6344441175460815, 0.2426592856645584, 0.09083538502454758, 0.9989470839500427, 0.9999145269393921 ], [ 0.6344469785690308, 0.00044707179768010974, 0.1326739341020584, 0.015019247308373451, 0.06369136273860931, 0.9991300702095032, 0.9999055862426758 ], [ 0.6344435811042786, 0.04379905015230179, 0.42597365379333496, 0.04494289681315422, 0.1869446188211441, 0.007894206792116165, 0.9988706707954407, 0.999891996383667 ], [ 0.6344469785690308, 0.4598456621170044, 0.0431768037378788, 0.998672604560852, 0.999866247177124 ], [ 0.6344439387321472, 0.0016999858198687434, 0.34422963857650757, 0.024432772770524025, 0.14350365102291107, 0.01095493696630001, 0.9984678626060486, 0.9998703002929688 ], [ 0.6344454288482666, 0.0006707166321575642, 0.16381686925888062, 0.01663694716989994, 0.0690493956208229, 0.9988455772399902, 0.9998605251312256 ], [ 0.6344462037086487, 0.0002454167406540364, 0.06638947129249573, 0.004428771324455738, 0.17384907603263855, 0.020444562658667564, 0.23118139803409576, 0.0229682307690382, 0.9992656111717224, 0.9999092817306519 ], [ 0.6344449520111084, 0.049945197999477386, 0.33196747303009033, 0.047220226377248764, 0.157462477684021, 0.01171781588345766, 0.999035120010376, 0.9998644590377808 ], [ 0.6344495415687561, 0.0004470731073524803, 0.1522594690322876, 0.012525019235908985, 0.9993274211883545, 0.9999170303344727 ], [ 0.6344439387321472, 0.0002454165369272232, 0.09324361383914948, 0.012752337381243706, 0.9992828965187073, 0.9999337196350098 ], [ 0.6344450116157532, 0.04379963502287865, 0.33032751083374023, 0.08412205427885056, 0.18611247837543488, 0.011466650292277336, 0.9990474581718445, 0.999921441078186 ], [ 0.6344466805458069, 0.0004470764833968133, 0.13267453014850616, 0.01501938235014677, 0.999065101146698, 0.9999128580093384 ], [ 0.634443461894989, 0.0004470794810913503, 0.1435794085264206, 0.009687635116279125, 0.9991481304168701, 0.9999183416366577 ] ] }, { "q_id": "7910_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.2607157826423645, 0.41937533020973206, 0.018775220960378647, 0.14423348009586334, 0.031474821269512177, 0.027237070724368095 ], [ 0.26071321964263916, 0.0052084471099078655, 0.5974819660186768, 0.5114647746086121, 0.15096905827522278 ], [ 0.26071301102638245, 0.4731289744377136, 0.15880343317985535, 0.2387848198413849 ], [ 0.2607157826423645, 0.005208465736359358, 0.5880350470542908, 0.2945689857006073, 0.4191965162754059, 0.7348096370697021 ], [ 0.2607097327709198, 0.2593958079814911, 0.15925659239292145, 0.12472344189882278, 0.07738427072763443 ], [ 0.26071321964263916, 0.006316435523331165, 0.5895629525184631, 0.003664258634671569, 0.004018544685095549, 0.14751416444778442, 0.04362368956208229, 0.1329953670501709, 0.03979458659887314, 0.051442377269268036, 0.023584432899951935, 0.051510319113731384, 0.9576336145401001, 0.15167585015296936 ], [ 0.7671387195587158, 0.9481815695762634, 0.43989911675453186, 0.5369797348976135, 0.47386491298675537 ], [ 0.8408644199371338, 0.4597054123878479, 0.0055967411026358604, 0.9124837517738342, 0.7363566160202026 ], [ 0.7999076843261719, 0.2369520366191864, 0.012083491310477257, 0.03761443495750427, 0.16963116824626923, 0.8735470771789551, 0.6424015760421753 ], [ 0.26071396470069885, 0.5845600366592407, 0.18175853788852692, 0.0030253026634454727, 0.015543932095170021, 0.9092317223548889, 0.1886208951473236 ], [ 0.2607167065143585, 0.00520840659737587, 0.5974835753440857, 0.003121995134279132, 0.16158878803253174, 0.2460704743862152 ], [ 0.7357630729675293, 0.3819277584552765, 0.01714927889406681, 0.3012833297252655, 0.0052466848865151405, 0.29070785641670227 ], [ 0.7671383619308472, 0.006484010722488165, 0.7486814856529236, 0.0039013212081044912, 0.004085863474756479, 0.3548969030380249, 0.012716295197606087, 0.05812935158610344, 0.17710664868354797, 0.06276101619005203, 0.016688568517565727, 0.03892369940876961, 0.9853897094726562, 0.3748568296432495 ], [ 0.26071321964263916, 0.005208342801779509, 0.5974860787391663, 0.0022300228010863066, 0.1989758163690567, 0.010193613357841969, 0.29509708285331726 ] ] }, { "q_id": "7930_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9378731846809387, 0.0698436051607132, 0.19593371450901031, 0.9955514073371887, 0.934752345085144 ], [ 0.9685781002044678, 0.5613052248954773, 0.9990200996398926, 0.9583848118782043 ], [ 0.9239832162857056, 0.9978016018867493, 0.22591547667980194 ], [ 0.9532300233840942, 0.7088400721549988, 0.9973118305206299, 0.43381059169769287 ], [ 0.9532299041748047, 0.863209068775177, 0.23369388282299042, 0.98917156457901, 0.9293012619018555 ], [ 0.8631249070167542, 0.8285534381866455, 0.0005863341502845287 ], [ 0.953230082988739, 0.1475493162870407, 0.99664705991745, 0.9003827571868896 ], [ 0.7869745492935181, 0.34710320830345154, 0.7189820408821106, 0.9983537197113037, 0.9788432121276855 ], [ 0.9823402166366577, 0.6395115852355957, 0.999160885810852, 0.976836085319519 ], [ 0.9745308756828308, 0.8185275197029114, 0.9993773102760315, 0.9847568869590759 ], [ 0.9800864458084106, 0.9989902377128601, 0.9639371633529663 ], [ 0.0882917046546936, 0.012777039781212807, 0.367051362991333, 0.9184780716896057, 0.9969513416290283, 0.18214024603366852 ], [ 0.9532300233840942, 0.8907334804534912, 0.9980417490005493, 0.7366843819618225 ], [ 0.5904248952865601, 0.2550082504749298, 0.27852004766464233, 0.6680961847305298, 0.4528998136520386, 0.9970699548721313, 0.8540111184120178 ], [ 0.9532300233840942, 0.14367537200450897, 0.3269633948802948, 0.9871624112129211, 0.7052130103111267 ], [ 0.9608610272407532, 0.9176013469696045, 0.9990541338920593, 0.9799783825874329 ] ] }, { "q_id": "8901_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.5606228113174438, 0.22007420659065247, 0.3865983486175537, 0.4456614851951599, 0.01622038707137108, 0.0023910938762128353 ], [ 0.01199859194457531, 0.002335356082767248 ], [ 0.7428908944129944, 0.38693833351135254, 0.01586434245109558, 0.002461883705109358 ], [ 0.4502176344394684, 0.6203897595405579, 0.03461848944425583, 0.003068003337830305 ], [ 0.787887692451477, 0.0203428715467453, 0.002909050788730383 ], [ 0.6530247330665588, 0.02184779942035675, 0.0036194627173244953 ], [ 0.7904859185218811, 0.30744290351867676, 0.003411227371543646, 0.5103349089622498, 0.21280372142791748, 0.38302677869796753, 0.7058016657829285, 0.031688395887613297, 0.003951805643737316 ], [ 0.8823637366294861, 0.0604947991669178, 0.3891485929489136, 0.00365555752068758, 0.020974617451429367, 0.0025576024781912565 ], [ 0.2541542053222656, 0.021221287548542023, 0.00253240461461246 ], [ 0.7223525047302246, 0.021870188415050507, 0.0026286907959729433 ], [ 0.8892658352851868, 0.0285321231931448, 0.24397210776805878, 0.5164666175842285, 0.6925951242446899, 0.017814666032791138, 0.002672289265319705 ], [ 0.6683797240257263, 0.33408957719802856, 0.024253271520137787, 0.002885136054828763 ], [ 0.8892665505409241, 0.01708154007792473, 0.002432456938549876 ], [ 0.7223525047302246, 0.02295977808535099, 0.002640592399984598 ], [ 0.6705309748649597, 0.1699933558702469, 0.38728833198547363, 0.04431508108973503, 0.26101237535476685, 0.5191470980644226, 0.6187646985054016, 0.017825674265623093, 0.0024184014182537794 ], [ 0.4905931353569031, 0.0006536883884109557, 0.6435664296150208, 0.30240121483802795, 0.030682042241096497, 0.0026654533576220274 ] ] }, { "q_id": "7725_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.9945289492607117, 0.9991497993469238, 0.9997161030769348 ], [ 0.9943997263908386, 0.869472324848175, 0.9979413151741028, 0.9995885491371155 ], [ 0.9929607510566711, 0.9992302656173706, 0.9998138546943665 ], [ 0.9939897060394287, 0.9989665746688843, 0.9996252059936523 ], [ 0.9945290684700012, 0.9991747736930847, 0.9997809529304504 ], [ 0.9939897060394287, 0.9990445971488953, 0.9997182488441467 ], [ 0.9943996071815491, 0.9984667897224426, 0.999526858329773 ], [ 0.9945289492607117, 0.9990968704223633, 0.9997690320014954 ], [ 0.9943996071815491, 0.8241848945617676, 0.9985557198524475, 0.9996539354324341 ], [ 0.9943996071815491, 0.9990910291671753, 0.9997380375862122 ], [ 0.9943996071815491, 0.9990910291671753, 0.9997380375862122 ], [ 0.9943675398826599, 0.9987044334411621, 0.9996397495269775 ], [ 0.9943996071815491, 0.9990542531013489, 0.9996750354766846 ], [ 0.9929607510566711, 0.9990257024765015, 0.9997311234474182 ], [ 0.9945289492607117, 0.9991747736930847, 0.9997809529304504 ], [ 0.9947932362556458, 0.8608887791633606, 0.9982714653015137, 0.9996067881584167 ] ] }, { "q_id": "8906_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "rewards": [ [ 0.07531928271055222, 0.7942864298820496, 0.9823604822158813 ], [ 0.58403080701828, 0.02830372378230095, 0.6716890931129456, 0.07208773493766785, 0.5602768063545227 ], [ 0.38345763087272644, 0.022824108600616455, 0.1437927782535553, 0.7975254654884338 ], [ 0.2865878939628601, 0.024521082639694214, 0.06713341176509857, 0.40779244899749756 ], [ 0.40320125222206116, 0.02195141650736332, 0.05224844440817833, 0.0012888170313090086, 0.8717548847198486, 0.009882678277790546, 0.0369245782494545 ], [ 0.39079105854034424, 0.021291226148605347, 0.020441658794879913, 0.026815520599484444, 0.0733029767870903, 0.12135070562362671, 0.10486850887537003, 0.12490997463464737, 0.7861451506614685, 0.17922593653202057, 0.10672854632139206, 0.1848708987236023, 0.5184726119041443 ], [ 0.41819170117378235, 0.023625031113624573, 0.0406729094684124, 0.13941943645477295, 0.7862629294395447 ], [ 0.3774205446243286, 0.020501939579844475, 0.031986337155103683, 0.026805654168128967, 0.06902744621038437, 0.17600660026073456, 0.11149623245000839, 0.1308145523071289, 0.7715152502059937, 0.12707273662090302, 0.08311496675014496, 0.04274962469935417, 0.04730132222175598 ], [ 0.38345620036125183, 0.02282434143126011, 0.006579834036529064, 0.021373456344008446, 0.048082247376441956, 0.08510179072618484, 0.15399107336997986, 0.08164194971323013, 0.9146632552146912, 0.2233755737543106, 0.14448685944080353, 0.6005092859268188, 0.9911128878593445 ], [ 0.21010403335094452, 0.1164829283952713, 0.007232263218611479, 0.038550298660993576, 0.05095532536506653, 0.06815831363201141, 0.020005932077765465, 0.1345040202140808, 0.9022141098976135, 0.14030714333057404, 0.15113189816474915, 0.797423779964447, 0.9869308471679688 ], [ 0.4257049262523651, 0.004836735315620899, 0.09998287260532379, 0.015499076806008816, 0.08012888580560684, 0.08161921054124832 ], [ 0.3259175717830658, 0.022391797974705696, 0.033011723309755325, 0.028133530169725418, 0.09555378556251526, 0.2267322987318039, 0.11462122201919556, 0.1563781499862671, 0.8543052077293396, 0.16105172038078308, 0.13449867069721222, 0.2724950611591339, 0.9829930663108826 ], [ 0.3916524648666382, 0.02275298349559307, 0.7098153829574585, 0.9540413618087769 ], [ 0.40320125222206116, 0.02467946708202362, 0.018434150144457817, 0.2645590305328369, 0.9036232829093933 ], [ 0.4032039940357208, 0.02465413697063923, 0.008278402499854565, 0.051162444055080414, 0.031939875334501266, 0.02068798802793026, 0.08703611046075821, 0.052239544689655304, 0.5644323825836182, 0.09957927465438843, 0.0517866350710392, 0.1428966075181961, 0.6558177471160889 ], [ 0.4032021462917328, 0.02467925287783146, 0.8441997766494751, 0.13825048506259918, 0.87428879737854 ] ] }, { "q_id": "8858_mmlu_math", "cot_ids": [ 0, 1, 2, 3, 4, 7, 9, 10, 11, 13, 15 ], "rewards": [ [ 0.34218984842300415, 0.016132961958646774, 0.006954631302505732, 0.039193376898765564, 0.021907787770032883, 0.15222647786140442, 0.013117585331201553, 0.00916372425854206, 0.08602585643529892, 0.006963640451431274, 0.041239190846681595, 0.017186492681503296, 0.03868803381919861, 0.03771480172872543, 0.00524983461946249, 0.010676528327167034, 0.019380822777748108, 0.0013349773362278938, 0.0005419087829068303 ], [ 0.2994282841682434, 0.03150530532002449, 0.01712585985660553, 0.26623737812042236, 0.03793725371360779, 0.012093696743249893, 0.12470985949039459, 0.015455206856131554, 0.053356390446424484, 0.044424284249544144, 0.010352336801588535, 0.04580625519156456, 0.020195143297314644, 0.006734943948686123, 0.004784417804330587, 0.000736479414626956 ], [ 0.7284053564071655, 0.997596800327301, 0.0004380562459118664 ], [ 0.1320652812719345, 0.10557308048009872, 0.05101272463798523, 0.008979002013802528, 0.0293924268335104, 0.0005313121364451945 ], [ 0.5327455401420593, 0.21205070614814758, 0.004525805823504925, 0.0861714705824852, 0.013965543359518051, 0.087933249771595, 0.06473935395479202, 0.024103304371237755, 0.09259102493524551, 0.0428200289607048, 0.037159264087677, 0.0459001325070858, 0.9894898533821106, 0.000705857528373599 ], [ 0.20768778026103973, 0.07205846160650253, 0.9821871519088745, 0.0003646164550445974 ], [ 0.09776856005191803, 0.1447894126176834, 0.026541907340288162, 0.35410448908805847, 0.008053427562117577, 0.15809950232505798, 0.08126837015151978, 0.02386345900595188, 0.16091015934944153, 0.014299578964710236, 0.005966849625110626, 0.0004587922594510019 ], [ 0.3421878516674042, 0.030184729024767876, 0.010223028250038624, 0.031827058643102646, 0.023393601179122925, 0.002201033290475607, 0.2098592221736908, 0.017802514135837555, 0.015172197483479977, 0.07647750526666641, 0.007501536980271339, 0.04082969203591347, 0.0057758307084441185, 0.9965274930000305, 0.0003708073345478624 ], [ 0.6083089113235474, 0.10669268667697906, 0.07508273422718048, 0.02205117605626583, 0.0012022315058857203 ], [ 0.29942697286605835, 0.014463172294199467, 0.03626329079270363, 0.010844144970178604, 0.010192863643169403, 0.03251230716705322, 0.09271978586912155, 0.0168085228651762, 0.08422322571277618, 0.11187183856964111, 0.06847255676984787, 0.008654015138745308, 0.17898264527320862, 0.030395658686757088, 0.04661128669977188, 0.1761675924062729, 0.05275718495249748, 0.047086283564567566, 0.3065899908542633, 0.06605895608663559, 0.06746693700551987, 0.009895185939967632 ], [ 0.04302109405398369, 0.10594020038843155, 0.2125193476676941, 0.15852266550064087, 0.08780250698328018, 0.009899339638650417, 0.0013100748183205724, 0.0039275772869586945, 0.0008017439977265894, 0.0011174854589626193 ] ] } ]