heat_tests.out

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12.965543440, 14.373611297, 24.979043213, 18.960407592, 21.003191168, 13.309426092, 24.161451301, 11.373715353, 12.795137838, 11.213008100, 
4003891073, 4034105989, 4252316675, 4136466424, 4172487244, 4023263980, 4264500237, 4035463057, 4105792356, 4113992067, 
140807324, 140158575, 149388048, 141953403, 142646869, 140356104, 146154638, 138872392, 139542065, 138246044, 
1, 17.267707366, 10.872551280, 9.748017223, 9.715380904, 9.689407478, 9.777841617, 9.683478160, 9.686888386, 9.685825380, 9.684111296, 
2, 5.548813486, 5.555041206, 5.556062688, 5.555659924, 5.555141092, 5.555771629, 5.556080397, 5.556032674, 5.755743967, 5.554395558, 
3, 4.155064130, 3.954631396, 3.960159503, 3.955235888, 4.155030163, 3.954404916, 3.954855756, 3.954927239, 3.954263082, 3.955622062, 
4, 3.154699549, 3.154900684, 3.156209597, 3.154591014, 3.154400809, 3.155018828, 3.154627876, 3.154806209, 3.153963735, 3.154365380, 
5, 2.754667569, 2.953854385, 2.954247457, 2.753683418, 2.954952435, 2.954552725, 2.754857602, 2.954501218, 2.955083944, 2.953836598, 
6, 2.554317795, 2.552298522, 2.553751777, 2.552767831, 2.554796805, 2.553681718, 2.754375014, 2.551207555, 2.555703199, 2.553481359, 
7, 2.753787832, 2.754363431, 2.552668234, 2.554479862, 2.554150141, 2.754825368, 2.554599306, 2.753843549, 2.554094285, 2.555123824, 
8, 2.553625501, 2.353871819, 2.550904801, 2.554398383, 2.554571982, 2.354615024, 2.555083228, 2.747926763, 2.537498087, 2.353942197, 
9, 2.545331321, 2.555227249, 2.754724845, 2.554465939, 2.754637225, 2.755243462, 2.554912944, 2.754313713, 2.554665978, 2.753687476, 
10, 2.534845129, 2.754416148, 2.553899033, 2.555547172, 2.555423293, 2.754622153, 2.554232837, 2.555621016, 2.555679548, 2.554809760, 
11, 2.554829520, 2.554646361, 2.754495415, 2.554385177, 2.755313217, 2.754768224, 2.754801095, 2.755099376, 2.555549649, 2.755708086, 
12, 2.754824377, 2.754642886, 2.755529209, 3.155326592, 2.754080020, 2.355179508, 2.355255977, 2.755522926, 2.354809861, 2.755150393, 
13, 3.154888483, 2.755160920, 2.554678911, 2.554364313, 2.755880287, 2.755483795, 2.754547646, 2.755102665, 2.754619686, 2.755657218, 
14, 2.755159113, 2.554975564, 2.954964065, 2.753182490, 2.554257476, 2.754914023, 2.756030855, 2.555227172, 2.755221537, 2.554600771, 
15, 2.755752345, 2.556622212, 2.955823090, 2.754984936, 2.754920084, 2.955238318, 2.755149164, 2.756602247, 2.754400540, 2.955263682, 
16, 3.156033330, 2.955104773, 2.556057625, 2.955429188, 2.755295421, 2.756181768, 2.955845280, 2.756538911, 2.955309877, 2.756290431, 
17, 2.554664120, 2.755244830, 2.955032657, 2.555570711, 2.755520909, 2.934767544, 2.956028421, 3.355583784, 2.955250388, 2.555600890, 
18, 2.755002593, 2.555442964, 2.755323280, 2.755875661, 2.955408934, 2.755620489, 2.956018903, 2.557034294, 2.755876924, 2.956691039, 
19, 2.755008515, 2.949629664, 2.955834972, 2.755399235, 2.743575570, 2.957511608, 2.755361425, 2.955232320, 2.755255332, 2.754869625, 
20, 9.757176308, 12.558895456, 6.556362708, 10.558250081, 2.955044388, 2.753100299, 3.155515496, 8.356366651, 3.156001529, 2.956525075, 

1, 4242222029, 4101065490, 4072548996, 4069041685, 4072379140, 4074707857, 4071782825, 4071388532, 4072432816, 4072962431, 
2, 4203691443, 4203093211, 4203500721, 4200990866, 4203321450, 4203765060, 4184397991, 4203042699, 4202692516, 4202649421, 
3, 4197160399, 4196596897, 4193341599, 4190889268, 4197252680, 4190853931, 4191005496, 4196327003, 4192766548, 4195224749, 
4, 4167087080, 4167486736, 4167439043, 4163471583, 4166355641, 4166007463, 4164695680, 4166075219, 4166051118, 4165172786, 
5, 4153272423, 4153732782, 4155231380, 4150216612, 4157051680, 4155953350, 4151041445, 4157450381, 4154013945, 4153486972, 
6, 4157768934, 4157982231, 4158136998, 4159813737, 4155812334, 4157883131, 4157531495, 4157142162, 4162165848, 4159205157, 
7, 4163091082, 4167279452, 4165161806, 4164195994, 4163373069, 4164350469, 4164476616, 4164973259, 4164194146, 4169684334, 
8, 4165683451, 4168379836, 4168498104, 4168310567, 4168651294, 4167787692, 4169143544, 4165264255, 4168049573, 4168485283, 
9, 4161703378, 4159786252, 4158010378, 4160560731, 4157773858, 4164709212, 4161865333, 4161296335, 4163594447, 4154177427, 
10, 4139029087, 4133657331, 4136885117, 4138020002, 4136395379, 4133816413, 4139101482, 4137377317, 4139851635, 4138457085, 
11, 4101693966, 4105177993, 4105154151, 4100526533, 4093304006, 4092936022, 4107876176, 4088785265, 4100584161, 4096192471, 
12, 4068431445, 4073796854, 4068825068, 4104986631, 4072069235, 4071858938, 4072927862, 4068908472, 4069584366, 4068941293, 
13, 4019551055, 4005793560, 4012629509, 4013374684, 4024958433, 4018622685, 4025011442, 4018970743, 4014780592, 4015117744, 
14, 3941794281, 3940432993, 3939445122, 3938670270, 3946156770, 3934597566, 3937336775, 3947299685, 3927011152, 3941734734, 
15, 3844907297, 3848353176, 3864720959, 3846330844, 3859128704, 3839026229, 3838975824, 3852430439, 3858725538, 3883860962, 
16, 3791077990, 3728818341, 3741674928, 3748932077, 3740560067, 3735684153, 3731883580, 3741443293, 3738385571, 3738582676, 
17, 3638645700, 3624063302, 3659721065, 3634502195, 3632092999, 3634693980, 3651201642, 3648276315, 3639514269, 3632544853, 
18, 3522395044, 3488588575, 3491055875, 3530240326, 3496944189, 3502130055, 3503394148, 3503482421, 3500116159, 3492039546, 
19, 3377157554, 3380193571, 3360139407, 3358517678, 3344610949, 3350335861, 3376446507, 3354835431, 3393535538, 3381920069, 
20, 3762218181, 3965898990, 3509809947, 3668823432, 3243138365, 3197384143, 3206252971, 3652771944, 3234578127, 3200252803, 

1, 140054464, 136987429, 136279087, 136150145, 136096475, 136083317, 136083163, 136085780, 136084128, 136087348, 
2, 142933992, 143179444, 143216223, 143180137, 143145758, 143091267, 142058414, 143141280, 143296375, 143159933, 
3, 144680843, 144522943, 144137104, 143990203, 144694959, 143975292, 144213585, 144398911, 144347542, 144207066, 
4, 145210211, 145799146, 145326723, 145212542, 145363167, 145264851, 145004152, 145186828, 145313184, 145210550, 
5, 148741298, 149141166, 149697404, 150636199, 149760261, 151156060, 148752624, 149241303, 150764761, 149271150, 
6, 151946331, 151973628, 152382370, 151947163, 151110733, 151958496, 153316346, 151955620, 152073843, 152306557, 
7, 154710413, 155275858, 153557247, 152872288, 154727714, 155137914, 153443997, 156217704, 152706965, 150241522, 
8, 158383260, 157411291, 157227236, 158646138, 158691235, 158684118, 159013323, 158477363, 154775588, 158286316, 
9, 162060396, 160903293, 165650466, 161471916, 166061528, 162930344, 161913639, 161879980, 161817886, 167133359, 
10, 165336898, 169386341, 165329143, 165728729, 165347176, 167368399, 161328702, 165504811, 165508976, 165570488, 
11, 167638242, 170876646, 167965797, 167655003, 172572053, 172948674, 167620726, 168535255, 167836402, 172719841, 
12, 173269077, 174296084, 173127584, 167163438, 174369993, 171111282, 171052234, 169722876, 170978085, 171421029, 
13, 180084807, 169887056, 174411052, 164963074, 169061309, 175940471, 173940606, 176561911, 176080125, 175521563, 
14, 179641798, 178062654, 183241101, 175559639, 167007570, 179540997, 180098707, 167826475, 175464318, 178356438, 
15, 182011791, 180781846, 179409812, 181929984, 179580394, 187501659, 187295846, 182348637, 173795363, 170544898, 
16, 179747412, 186231708, 184847671, 184470411, 176816062, 185950482, 185219144, 186318060, 186313344, 174301048, 
17, 187216181, 178357302, 169415303, 186897136, 191336723, 191113279, 186449022, 191851471, 188718645, 178590740, 
18, 167873087, 186545557, 181458386, 176699693, 199784555, 186650159, 178809227, 190582887, 187113897, 199746572, 
19, 193311646, 192280684, 183863754, 193269170, 192186192, 189068185, 189310000, 198218893, 182494371, 189882877, 
20, 195394036, 183304945, 193539748, 195178535, 189876565, 193603504, 192000666, 194016125, 198458990, 201531394, 

1, 9.243360724, 6.073659457, 6.031595163, 7.333193673, 5.987717812, 5.989341542, 5.988157452, 5.989429482, 5.989500239, 5.972569620, 
2, 3.153874475, 3.154189984, 3.153247840, 3.154904339, 3.154325064, 3.154547443, 2.955306258, 3.154016835, 2.954011111, 2.954054475, 
3, 2.153369491, 2.154255425, 2.154410273, 2.353691645, 2.154639108, 2.154131564, 2.354010361, 2.153521000, 2.153953991, 2.154535794, 
4, 1.753647458, 1.953550722, 1.753724681, 1.754108114, 1.753856166, 1.753394985, 1.753723638, 1.754446308, 1.753175959, 1.753340450, 
5, 1.553781733, 1.553512420, 1.553939051, 1.553821051, 1.553968469, 1.553894262, 1.553322859, 1.553714004, 1.551573382, 1.554034926, 
6, 1.353498371, 1.350973891, 1.353923446, 1.353650421, 1.353297013, 1.353463551, 1.353518462, 1.353026189, 1.353793608, 1.352545636, 
7, 1.353953482, 1.352674912, 1.353215305, 1.353528575, 1.354388067, 1.353572923, 1.354059739, 1.353451215, 1.353921758, 1.354363296, 
8, 1.181707354, 1.354581371, 1.153268403, 1.153585248, 1.353712902, 1.154637902, 1.354461156, 1.153038310, 1.352867010, 1.350368565, 
9, 1.354016750, 1.153676271, 1.153473143, 1.153480664, 1.153471461, 1.154371122, 1.153885023, 1.154261003, 1.154013023, 1.153250024, 
10, 1.154575838, 1.154642511, 1.154222680, 1.154080694, 1.153159833, 1.152039567, 1.153879002, 1.153394901, 1.154519733, 1.154379094, 
11, 1.153528989, 1.154172613, 1.154763803, 1.154299159, 1.154068760, 1.153877977, 1.157008002, 1.153985118, 1.154148572, 1.155087272, 
12, 1.154063263, 1.154480948, 1.155234702, 1.353627352, 1.153860374, 1.154770361, 1.153631120, 1.154212908, 1.154049269, 1.154455952, 
13, 1.153978052, 1.155439635, 1.154856514, 1.154652509, 1.154504388, 1.153715130, 1.154687997, 1.154288002, 1.155511948, 1.154635564, 
14, 1.155200323, 1.154791677, 0.954459181, 1.154340524, 1.153781345, 1.153966230, 1.154857091, 1.153881446, 1.153856408, 1.154230500, 
15, 0.952456748, 1.155451767, 1.154152507, 1.155488496, 1.154032890, 1.155547980, 0.955019423, 1.154705165, 1.154605502, 0.954349395, 
16, 1.153740047, 1.355348536, 1.153796561, 1.153969540, 1.136957850, 1.153827511, 1.153346725, 0.953852381, 1.155064371, 1.155736383, 
17, 1.154104465, 1.154378673, 1.154136763, 1.154243345, 1.154214740, 1.154687173, 1.152942914, 1.158575761, 1.151679740, 1.154268690, 
18, 0.953328085, 1.154237151, 1.156016656, 1.154834964, 1.154512369, 0.954583948, 1.154365396, 1.154042387, 1.153957094, 1.155344893, 
19, 1.155367283, 1.154275174, 1.154534876, 1.154211368, 1.155823948, 1.155788520, 1.154636376, 0.954400459, 1.154629871, 0.954681784, 
20, 1.554580944, 1.354692069, 0.954136319, 1.354699996, 1.354451895, 1.154246346, 1.154427060, 1.355397123, 1.155759504, 1.554259356, 

1, 238736442, 175238564, 174056076, 198570886, 173163436, 173161355, 173165991, 173170863, 173167630, 173158905, 
2, 176551556, 176556697, 176551109, 176558067, 176589839, 176549216, 176546999, 176560460, 176548744, 176526691, 
3, 179914234, 179808909, 179878409, 179917638, 179900981, 179891440, 179818416, 179855258, 179854669, 179802887, 
4, 182927175, 182940295, 182906051, 182911422, 182904708, 182920437, 182894942, 182902788, 182933144, 182916409, 
5, 185953725, 186012280, 186002276, 186012663, 185960948, 185995173, 185954911, 185990760, 185936527, 185974643, 
6, 188786239, 188823586, 188784977, 188817624, 188781332, 188802382, 188781915, 188789907, 188807656, 188829933, 
7, 191505472, 191532428, 191490727, 191514832, 191554633, 191482489, 191524743, 191524261, 191515703, 191554296, 
8, 194021889, 194039727, 194027293, 194022608, 194090354, 194054836, 194066006, 194004435, 194015601, 194017071, 
9, 196399342, 196242082, 196381425, 196380551, 196338483, 196361124, 196373866, 196262753, 196226932, 196268451, 
10, 198402038, 198379288, 198355650, 198356866, 198361831, 198417199, 198374203, 198432764, 198397147, 198363382, 
11, 200045322, 200082954, 200135692, 200067780, 200137048, 200148812, 200148722, 200160840, 199938770, 200137852, 
12, 201711474, 201458357, 201571588, 201674441, 201537882, 201506033, 201595001, 201516758, 201572640, 201605489, 
13, 202754190, 203043590, 202752176, 202971020, 202826781, 202845745, 203055519, 203057495, 202988140, 203065368, 
14, 204016785, 204058584, 203811805, 204014825, 203836617, 204064400, 204005896, 204042410, 203935402, 204063429, 
15, 204780494, 204826716, 204807663, 204860004, 204746034, 204871128, 203404178, 204880765, 205001033, 203512227, 
16, 205678974, 205268710, 205483778, 205477557, 205364103, 205517882, 205565282, 205401590, 205457033, 205513745, 
17, 205905588, 206116357, 205768840, 205741520, 205689452, 205659783, 206060739, 205840339, 205668706, 205880006, 
18, 206118811, 206129316, 206143788, 206323300, 206316051, 206106113, 206154702, 206307322, 206377533, 206060725, 
19, 206665045, 206768538, 206622758, 206625697, 206400235, 206730327, 206666876, 206067140, 206051274, 206172324, 
20, 206785410, 206707590, 206718814, 207215004, 206696409, 207048619, 206448872, 206775670, 206549760, 207083808, 

1, 29637066, 28716312, 28626007, 29227095, 28486445, 28492446, 28530875, 28461959, 28498414, 28151279, 
2, 13225509, 13466062, 13646162, 13448508, 13863919, 14607336, 13478404, 14026077, 13442406, 13476460, 
3, 14464050, 14609615, 14097891, 15052367, 14238333, 14844194, 15516660, 14109676, 15068698, 14738140, 
4, 13716877, 13579638, 13459168, 13502071, 13499767, 13478284, 13478348, 13502872, 13855642, 13468578, 
5, 14632227, 13806309, 13892783, 14060963, 17520875, 14343871, 14249317, 13599750, 13648778, 13922933, 
6, 16419495, 14932386, 16390016, 15219768, 16388585, 16422758, 16374820, 16378565, 16448438, 16404234, 
7, 17025275, 19897349, 17159822, 16872639, 17007210, 17265339, 18087224, 16857761, 16547936, 16854554, 
8, 19445342, 22854654, 19419771, 19435232, 19736591, 16846419, 19830821, 17968470, 19473706, 18104484, 
9, 18596223, 23912164, 21808871, 21805907, 18381157, 18426425, 21451222, 23911013, 17590190, 23902838, 
10, 24121030, 24133177, 20865696, 24095608, 24099711, 20820330, 22174277, 24440495, 24537957, 24135168, 
11, 29480911, 29479859, 27540402, 25063889, 27133669, 27522629, 27162911, 27143718, 23164824, 27162825, 
12, 28841829, 25107073, 29667804, 27318769, 26808946, 26823684, 30516161, 28548983, 30534309, 30332152, 
13, 32359444, 32183799, 29819143, 32422579, 36554694, 36587344, 32197003, 32138454, 34129045, 28817713, 
14, 35504942, 35246179, 28446447, 34552850, 36627351, 37642944, 37644782, 37506348, 33650512, 37660243, 
15, 38469485, 38793344, 42889894, 38374012, 40222226, 38387470, 37180918, 35764908, 37140898, 34212352, 
16, 43870666, 35850960, 41029178, 40633703, 40461806, 42961894, 40006608, 38084380, 39410326, 40228150, 
17, 42032358, 44478434, 42353035, 41430603, 44131029, 40665029, 46203374, 42945026, 42407245, 41805203, 
18, 38370312, 43115861, 45549880, 46344218, 46299388, 43106350, 46800674, 48154884, 48023278, 45558131, 
19, 49349155, 49910135, 47103968, 52455160, 45892614, 49289550, 52115552, 42961887, 44298492, 41896473, 
20, 45137880, 41598135, 48811019, 43768200, 41374938, 50295068, 43326695, 40073610, 48231342, 41708238,