# Identifications: Ident(T,T,P,P,T)
# Eigenvalues of Graph Laplacian
# M = 4

eigenvalues = [8.840247608659966e-15, 0.01151159051834583, 0.018013434250651595, 0.01801343425067441, 0.019403088429602117, 0.03711203879731336, 0.038854436904697774, 0.03885443690469865, 0.04037091708480893, 0.0466162837544037, 0.05488885241533863, 0.05732577564970124, 0.05732577564970514, 0.06286382874937763, 0.06286382874938136, 0.06901940605673695, 0.07293748955837812, 0.0730589478247698, 0.08592275995509795, 0.09672307964445946, 0.09940090920061073, 0.09940090920061344, 0.10929099320254552, 0.1127330926647814, 0.11273309266479084, 0.11561215712735498, 0.1163926501266088, 0.1163926501266117, 0.11750498016841243, 0.12017484337243872, 0.12017484337244848, 0.12339845454286252, 0.13082119172829887, 0.14779814434189037, 0.1477981443418908, 0.15314707033677438, 0.15612406036186796, 0.15760002784092714, 0.16211063522847316, 0.1621106352284765, 0.1743028999873745, 0.17908427075209463, 0.18041459706768156, 0.18041459706770216, 0.18435601261161136, 0.18492287724594614, 0.19042758374569557, 0.19976458331128794, 0.20108722113985233, 0.2010872211398645, 0.20863770775734955, 0.20863770775736273, 0.20993241919002317, 0.2176066055029655, 0.2394672297366025, 0.2413595533856702, 0.24135955338567944, 0.24738917644899738, 0.24738917644900732, 0.2545419911680706, 0.26105313520731166, 0.26416527227970565, 0.26416527227971454, 0.26475764362679505, 0.2650804294060326, 0.26535937958771405, 0.265359379587718, 0.2686981261122153, 0.2734300868735806, 0.27410713463807657, 0.2741071346380783, 0.27458500352113374, 0.2898892209772565, 0.29144485225082856, 0.29514906566280863, 0.29514906566281757, 0.2969280918572214, 0.301097408759159, 0.3127251370231527, 0.31272513702315896, 0.31446876701222903, 0.31446876701222976, 0.3187893408069507, 0.34225537181413207, 0.34390334379611337, 0.3492732630282191, 0.34927326302822026, 0.3501838156366932, 0.35531604458699184, 0.3561099548598788, 0.35720595794671023, 0.3573529071896975, 0.3575689166098263, 0.3575689166098586, 0.36300140444567763, 0.3630014044456857, 0.3687366645813911, 0.369991443410638, 0.3774471083194045, 0.3787846003757234, 0.378784600375726, 0.3792226079945211, 0.3831365298777595, 0.3885049462361796, 0.3885049462361805, 0.39535683846217884, 0.4001144180814578, 0.400114418081463, 0.41768514286706687, 0.4199422636230805, 0.4243937404873745, 0.42439374048737516, 0.42446892321358215, 0.42654757406691163, 0.4297252639163564, 0.4297252639163689, 0.42987498396617607, 0.43010298216304754, 0.43139607341854014, 0.43332996480563546, 0.43487421083054933, 0.4348742108305532, 0.43727901113560536, 0.4390395271396498, 0.44102178096598654, 0.44264295546321336, 0.44264295546321863, 0.445770612781136, 0.44801587747037525, 0.4480158774703769, 0.4490326247391709, 0.45286110420073167, 0.4582488967131062, 0.458673424163783, 0.4586734241637853, 0.46879940980013657, 0.46879940980015045, 0.4767762021134195, 0.4787761995571215, 0.48382006061630156, 0.48382006061630883, 0.48515729657955287, 0.49257190522622446, 0.4970875514592083, 0.4970875514592226, 0.5097864840368804, 0.5100897966949749, 0.5103521678062949, 0.5157186149186735, 0.5157186149186759, 0.5330523791138628, 0.5349391431652685, 0.5357315627229048, 0.535731562722923, 0.5388527449730657, 0.538852744973066, 0.5409785595107451, 0.5444938248057337, 0.5570283778745311, 0.5570283778745432, 0.5574399752536636, 0.561042724579284, 0.5752070090150853, 0.5752070090151036, 0.5810748942973768, 0.583124832300696, 0.5841956532959611, 0.5936333207132036, 0.5936333207132208, 0.5942388371551655, 0.5943424168330386, 0.6029064377406819, 0.6068421406574557, 0.6068421406574629, 0.6130754138141358, 0.6152388797265691, 0.6206987184833794, 0.6229610592203947, 0.6229610592203992, 0.6250357743669385, 0.6260751970739573, 0.6272449871487491, 0.6272449871487743, 0.6333448272195445, 0.6372489768804444, 0.6372489768804731, 0.645037376996002, 0.6522630782422463, 0.6522630782422519, 0.6528406414716923, 0.6584824479189916, 0.6584824479189928, 0.6610751129459506, 0.6664836648437886, 0.6736700280588843, 0.6736700280588989, 0.6740702385997824, 0.6746410712559663, 0.6765480495722378, 0.6776200480919083, 0.6776200480919207, 0.6793695932583012, 0.692013670224231, 0.6924896773327008, 0.6924896773327159, 0.696507126776239, 0.7011260104372311, 0.7030584536617953, 0.7030584536617969, 0.7045106764109277, 0.7080889667695859, 0.7090953875716439, 0.7190135076381664, 0.722422329360717, 0.722422329360717, 0.727366259141613, 0.727366259141617, 0.7278212833873362, 0.7278212833873433, 0.729244299613786, 0.734187555195665, 0.7341875551956691, 0.7424470638300451, 0.7459046834944483, 0.7459492084484691, 0.7459492084484746, 0.7466247245880849, 0.7481072531752613, 0.7549326559998276, 0.7549326559998296, 0.758799842468619, 0.76128804193412, 0.7685504850719614, 0.7701426791504277, 0.7707499674364372, 0.7707499674364386, 0.7786631524687483, 0.7944425097837685, 0.7998877614292283, 0.8021959528720018, 0.8021959528720147, 0.8035126853385033, 0.8045122520666356, 0.8091339655851573, 0.8100267615334829, 0.8100267615334888, 0.8133101649772041, 0.8158717728965631, 0.8164858859925517, 0.8165054502766439, 0.8165054502766456, 0.8170052535003427, 0.8170052535003657, 0.8228361719821802, 0.8443590788117399, 0.8443590788117437, 0.8450672235781227, 0.8540468898943451, 0.856739759650359, 0.8567397596503736, 0.8607185318977043, 0.8639128598962607, 0.8660147400958504, 0.8660147400958513, 0.8719031981693884, 0.8732673908023546, 0.8732673908023708, 0.8805987072684086, 0.8816396533170691, 0.881639653317073, 0.8846163494066114, 0.88796568849032, 0.8928713116357581, 0.8966531573849073, 0.9030320756559685, 0.9030320756559874, 0.905832318293562, 0.9058323182935825, 0.9143923253846382, 0.9143923253846605, 0.9233617851304756, 0.923598654538119, 0.9248065347766296, 0.9328170546844486, 0.9328170546844593, 0.9347344284988627, 0.9347344284988799, 0.9356425285790094, 0.9393859979267709, 0.9404234608172606, 0.9417044774780275, 0.9427682689789589, 0.9446751222969612, 0.9474333599800666, 0.9474333599800943, 0.9489844559281104, 0.9502263685653001, 0.950999305954735, 0.9552240224806933, 0.955224022480704, 0.9577914562192099, 0.9623691273607816, 0.9623691273607885, 0.9625544162608692, 0.9686750148495956, 0.976609880958498, 0.9768126121598142, 0.976812612159833, 0.991057083497886, 0.9911198981173868, 0.9944035352246193, 0.9944035352246302, 0.9948860152890984, 1.001224813123204, 1.0012248131232064, 1.0094281103625533, 1.0107526633515107, 1.0175574212987206, 1.0175574212987264, 1.0186765848987598, 1.0196543692251134, 1.0214016766338798, 1.023681006599766, 1.023681006599784, 1.0284551394386947, 1.0287909784493627, 1.0287909784493887, 1.0308195765236232, 1.031852944480384, 1.031852944480392, 1.0335078130540276, 1.0342758734127655, 1.034400032788205, 1.0418908371409472, 1.044827036637764, 1.0448270366377814, 1.0472624770550036, 1.0476276991741273, 1.0476276991741331, 1.049182755390299, 1.0525519072778802, 1.0567122475988213, 1.0636970516729956, 1.0678072505047753, 1.067807250504778, 1.0695855858254357, 1.0731109900263176, 1.0753818479559605, 1.0753818479559634, 1.0788794883826083, 1.0788794883826163, 1.0903981078547873, 1.0949599333515099, 1.0967060928287444, 1.1002870051618783, 1.1002870051618945, 1.1115736408676327, 1.113427828434546, 1.113492010399985, 1.1157632081250979, 1.1169780618491594, 1.1169780618491747, 1.1195481960115952, 1.119599241649351, 1.1195992416493663, 1.1222374836364608, 1.12223748363648, 1.1243048827591502, 1.124449347468928, 1.1315207527488684, 1.1374217742358255, 1.1374217742358446, 1.1384170033366714, 1.1384170033366783, 1.1399387563255612, 1.1446894458211554, 1.1472999229805851, 1.1510053041504842, 1.1710753833898286, 1.1781570012263671, 1.1826429572618866, 1.1826429572619128, 1.193186803091728, 1.2000786882093222, 1.212340793142422, 1.212340793142424, 1.2167302030688587, 1.2220365811402856, 1.2220365811402985, 1.224233193858377, 1.229210424765208, 1.2308446066770966, 1.230844606677103, 1.2345805165365826, 1.2358021987490913, 1.2363620299822597, 1.2445513910398063, 1.2445513910398192, 1.2605025756074675, 1.2621337699501676, 1.2642808968170791, 1.2642808968171106, 1.2714928698959855, 1.2721258293249544, 1.272125829324956, 1.2764469561981069, 1.2788926478108893, 1.2794009436189238, 1.279400943618939, 1.2827574797110415, 1.284550706641993, 1.2845507066420012, 1.2888276364198588, 1.2911810095978824, 1.2911810095978846, 1.2912650594766315, 1.2975701854946506, 1.303292132865413, 1.303292132865422, 1.304190813388444, 1.3079219679055436, 1.3110456761538931, 1.3148292121519443, 1.318769054734415, 1.3187690547344313, 1.326292493497937, 1.3262924934979685, 1.3336435565339888, 1.334632519224859, 1.3386971613590468, 1.3419486338758517, 1.3451075568683937, 1.3451075568683972, 1.3481737392607807, 1.3487723157890648, 1.3487723157890685, 1.3529421084227995, 1.359231831493868, 1.3602947210038219, 1.3602947210038452, 1.368204192216402, 1.368204192216415, 1.3703604574629114, 1.3729012644892673, 1.3778135506482547, 1.3802478658110435, 1.3802478658110473, 1.3846421870535885, 1.3899715565115465, 1.3949112612983887, 1.3949112612983965, 1.3956647465396554, 1.4046555721232235, 1.40465557212327, 1.4084532468096116, 1.4084532468096413, 1.4090414961271476, 1.4122047114514298, 1.4191126225335475, 1.423810999564165, 1.4300666570177338, 1.4300666570177545, 1.43805615293913, 1.4390021160094115, 1.4399797174082356, 1.4399797174082436, 1.446043900297552, 1.4473633872742206, 1.4482203227826038, 1.448220322782605, 1.4521166251061437, 1.4521166251061512, 1.452454222832305, 1.4546466017764401, 1.458530226215154, 1.4594671517428106, 1.46149139277872, 1.4614913927787305, 1.4639825595656837, 1.464110696922586, 1.4641106969225886, 1.4752468354825643, 1.4798317456460612, 1.486944454049886, 1.4903872139712186, 1.4916698901897665, 1.492219029619158, 1.493647865155807, 1.4936478651558116, 1.498388119551005, 1.5008757567917848, 1.5008757567917936, 1.5059669987158386, 1.5059917250253338, 1.5104497965466852, 1.5166973933346666, 1.5166973933346786, 1.519506191843395, 1.5280225093242348, 1.5294617211966648, 1.5354699659572921, 1.5403825097562511, 1.5403825097562587, 1.5447926124972602, 1.544792612497294, 1.5449160909542798, 1.5470006880244538, 1.5484705416064404, 1.5544273208361996, 1.5562283639903978, 1.556228363990421, 1.557692063526758, 1.5586211520230715, 1.558621152023079, 1.5622610690731793, 1.5634951967846036, 1.5676630852059796, 1.5676630852059836, 1.569222738179629, 1.573528554502052, 1.5735285545020559, 1.5737134593076485, 1.5740863518650876, 1.5774924361320581, 1.5782232611138074, 1.5796661633836993, 1.5856463157513603, 1.58578341345307, 1.5871559593131106, 1.5871559593131328, 1.5887707317091166, 1.5887707317091309, 1.588898034858835, 1.5888980348588582, 1.5936977268195756, 1.5936977268195767, 1.593933998058791, 1.5982687544165528, 1.601439136968662, 1.6027708856035447, 1.6043001289388097, 1.6043001289388241, 1.6089046565109797, 1.6089046565109881, 1.6094513370815395, 1.6166765644748653, 1.6166765644748842, 1.6175519446517763, 1.6221028864548739, 1.6245774231724006, 1.625631359795814, 1.6326286533611496, 1.633206002974695, 1.6356144418105123, 1.6356144418105147, 1.6384461717440473, 1.6384461717440555, 1.646432045474154, 1.6466701969539033, 1.648171051771934, 1.6506558866269463, 1.6511021473760064, 1.6511021473760152, 1.6578213590306874, 1.657821359030698, 1.659961710002449, 1.662437236366844, 1.6634529564624883, 1.6634529564624994, 1.6635734063377876, 1.6658824663762934, 1.6716152810124563, 1.67161528101248, 1.6750842252186948, 1.6750842252187224, 1.6791835040310983, 1.6791835040311054, 1.679333025897289, 1.681699976592505, 1.6836268950203486, 1.685925563477027, 1.685925563477035, 1.6911148759862298, 1.693355122630202, 1.6957952189212253, 1.6967619579319937, 1.6967619579320017, 1.7075570217652887, 1.7092873836811469, 1.7098726784553062, 1.7098726784553213, 1.710213132749117, 1.7125337276643269, 1.7126601065382223, 1.7140542582622216, 1.714109913361892, 1.7141099133618998, 1.72276144943149, 1.7256066094535598, 1.7266042525750058, 1.7290777936564925, 1.7295199457954775, 1.7295199457954877, 1.7352707806943701, 1.7357226580227694, 1.7357226580227878, 1.7396626099664279, 1.7424273842339302, 1.7440222889374064, 1.744022288937415, 1.7481313468218898, 1.7492116995114821, 1.7525599096641369, 1.7525599096641469, 1.7563963431022254, 1.7584097765607656, 1.758409776560783, 1.7675765706358997, 1.7704113241690598, 1.7704113241690742, 1.7713117298950949, 1.773388207931737, 1.7768961529126521, 1.7772874570747088, 1.7822875751081066, 1.78228757510811, 1.7830575277367986, 1.786605279573244, 1.7883383421254762, 1.7904817036567955, 1.7904817036568017, 1.7926099966138813, 1.7933197995951446, 1.7946770174390145, 1.7946770174390148, 1.7954568047994062, 1.795891175668101, 1.7958911756681295, 1.7965512580355034, 1.7995016202866645, 1.7995016202866791, 1.8048180062006445, 1.8056862377736673, 1.8056862377736893, 1.8087827670188612, 1.8105404290460758, 1.81054042904609, 1.8120005841977798, 1.817463513551452, 1.817463513551466, 1.8201173768174161, 1.8201173768174195, 1.8223688599550576, 1.8248585927983878, 1.8270043102389164, 1.827004310238929, 1.8311682615900728, 1.8395608792645533, 1.8395608792645781, 1.8397753113870703, 1.8414271122191592, 1.8457859330117818, 1.8458920988843064, 1.847775316805169, 1.8529223468169973, 1.8529921331571368, 1.8529921331571562, 1.857986309789734, 1.8579863097897582, 1.8647200602990226, 1.8648659617963843, 1.8661108476999908, 1.86720541946676, 1.8706340891174345, 1.8706340891174371, 1.874178594728821, 1.8741785947288225, 1.8742544744395782, 1.874624466922265, 1.8785801363998944, 1.8799674055881377, 1.8799674055881554, 1.8819439562491593, 1.8833478986904488, 1.8864263568805364, 1.8888110020669338, 1.888811002066951, 1.8925908577268444, 1.893796682998144, 1.8989821089566037, 1.8990098016657901, 1.8990098016657926, 1.901559764607141, 1.9028213275074484, 1.902821327507451, 1.9038068113565394, 1.9062421397438716, 1.9078176437419352, 1.9144123753839368, 1.9159923642105325, 1.915992364210548, 1.9271092077112417, 1.9279604681347007, 1.930288797097855, 1.931324320058099, 1.934410279276209, 1.93441027927623, 1.9348963910591046, 1.935358251344009, 1.935358251344032, 1.9396190263971262, 1.9414337513441264, 1.943512272403221, 1.944952904068825, 1.9458978020390054, 1.9470239206696442, 1.9470239206696571, 1.9473208979440346, 1.9476386319860712, 1.9476386319860934, 1.9481270707062657, 1.9481270707063005, 1.94916605792295, 1.953361707080827, 1.9533617070808507, 1.9550506710849653, 1.9558265212337702, 1.957820767565183, 1.9613591602426252, 1.961359160242645, 1.966471201486902, 1.966471201486923, 1.9723432419816231, 1.9757868391932045, 1.9778327972609895, 1.97783279726099, 1.9785228053128447, 1.9791212708109462, 1.9871938990627058, 1.9898264300249646, 1.989826430024982, 1.9958429208236979, 1.9999999999999911, 2.003930169883705, 2.005142539495154, 2.005375700020365, 2.006249163475215, 2.006249163475234, 2.0076474138677267, 2.0076474138677565, 2.0094870387664843, 2.0099525052648364, 2.014184538153807, 2.014184538153843, 2.0155797759891882, 2.0156719870126896, 2.0176631436849077, 2.0176631436849135, 2.0180985646265497, 2.0190449918614655, 2.0190449918614766, 2.0192353094672675, 2.021557406956056, 2.0230115953934975, 2.02301159539352, 2.0258243200651376, 2.0261955321042753, 2.0268004950696215, 2.026800495069642, 2.027393492242002, 2.0274255494489277, 2.029349091827175, 2.0293490918271853, 2.029457037347975, 2.029818925014674, 2.0307291492053627, 2.030729149205398, 2.032368797881838, 2.0336698159300592, 2.0346193094110916, 2.0347533325398013, 2.0347533325398146, 2.035557908410862, 2.036207894301975, 2.0364908504234482, 2.0384609145833, 2.038635403880625, 2.03863540388065, 2.0413014828130827, 2.041301482813091, 2.0429345901888434, 2.0429345901888927, 2.043972602346869, 2.0442538449944516, 2.0449391181497982, 2.0449391181498253, 2.0460813434766676, 2.0470869162290186, 2.0475605053912225, 2.0483433749965236, 2.0484815762965143, 2.0484815762965343, 2.050656339310739, 2.0511648006492402, 2.0522128096291894, 2.0522128096292023, 2.054906851796335, 2.054906851796359, 2.0549236234228343, 2.056639437716482, 2.05694736304137, 2.057430232736936, 2.0607911973052846, 2.0609333157835295, 2.060933315783553, 2.064337829072584, 2.0647054926596002, 2.064705492659628, 2.065059920592007, 2.0679529977440723, 2.0686479821766874, 2.0686479821767323, 2.0686996677448053, 2.0691050054088804, 2.0719480630056797, 2.072010754844205, 2.072010754844228, 2.072382904838657, 2.076556657110071, 2.078495242013305, 2.0784952420133194, 2.0786525511368183, 2.078652551136839, 2.0816717035661414, 2.0816717035661503, 2.0826425736796437, 2.0826573965653767, 2.0837331840266815, 2.0843785116521216, 2.0843785116521567, 2.0848710242623953, 2.085532405667704, 2.087035918634509, 2.0877183016673215, 2.088180892445248, 2.0881808924453025, 2.0896527696262215, 2.090867314544441, 2.0908673145444454, 2.0927868436058206, 2.093063852164413, 2.0931567262398496, 2.0949996578645007, 2.09512451361027, 2.0951245136102865, 2.096960676426976, 2.098160324173518, 2.100308044961623, 2.1003080449616287, 2.1018848028640984, 2.1025380170503967, 2.103300912085384, 2.105087081284373, 2.106916329017008, 2.1074703092877685, 2.1074703092877742, 2.1080380797818368, 2.1114831533325535, 2.111483153332557, 2.1133893937610306, 2.1133893937610346, 2.115385600509956, 2.115810568157583, 2.115810568157587, 2.1160366594652116, 2.1161781743831494, 2.1161781743831662, 2.116232770640933, 2.1168160106129106, 2.120037285871396, 2.1203974853627754, 2.120397485362784, 2.1217446403937323, 2.1217446403937466, 2.125897041960742, 2.1276230080362506, 2.1276230080362573, 2.129156444980311, 2.1294314768544207, 2.129431835786636, 2.130819638501887, 2.1327821877251227, 2.13278218772515, 2.1344270126357068, 2.1345488624950995, 2.1345488624951408, 2.1353232591493714, 2.1372090961307904, 2.1372090961307983, 2.141495198549056, 2.142310193598532, 2.1423101935986026, 2.142852069134211, 2.143232886370371, 2.143677403575451, 2.1436774035754773, 2.1448944148940092, 2.1459614970982384, 2.147464476161884, 2.1474644761619026, 2.148251472108711, 2.1483384968900747, 2.1493834747610117, 2.1496110141834963, 2.1511573557174537, 2.1516680613410326, 2.151668061341049, 2.1519210358688503, 2.1519210358688605, 2.154141034651942, 2.154141034651955, 2.156417425401451, 2.1570399231648785, 2.158067815255582, 2.158067815255599, 2.161367553231768, 2.1622071018293165, 2.1631094161954785, 2.163109416195533, 2.1639124259517737, 2.1669613242412917, 2.1683570642284695, 2.1709551514735113, 2.1722600460815173, 2.173979529588249, 2.1792105197818294, 2.1792105197818423, 2.1794084223066794, 2.18843043927788, 2.19988608317285, 2.2004991187185046, 2.2004991187185245, 2.2017610928034874, 2.2017610928034914, 2.202228906936049, 2.2023326552174147, 2.2074703821966897, 2.207470382196698, 2.207843309792606, 2.2124666791283016, 2.212781080444728, 2.214578325668651, 2.216032281329685, 2.216032281329727, 2.2221950473013594, 2.2262434411442924, 2.226243441144297, 2.226243793736031, 2.2417152311673867, 2.2417152311674005, 2.245767620720869, 2.2592779674699464, 2.259277967469948, 2.26038060722633, 2.262402075455613, 2.264832208043458, 2.2668382863695307, 2.270492467569507, 2.2706719927524306, 2.272376388103946, 2.2723763881039476, 2.2788509073247254, 2.279352565591867, 2.279352565591873, 2.2821471743025104, 2.285813343260062, 2.288630046874011, 2.2886300468740117, 2.2903509425873976, 2.294891039912801, 2.29489103991281, 2.3064291159213663, 2.310135808385425, 2.3101358083854597, 2.310525578883743, 2.326542493625896, 2.3293356571308177, 2.3304783156261455, 2.3304983472797716, 2.3309190403246447, 2.330953108551703, 2.3309531085517134, 2.331223961366584, 2.331394555217625, 2.3359857522332423, 2.337415460023473, 2.3379309576906944, 2.3379989983063663, 2.3379989983063902, 2.3401377854549303, 2.341321406713587, 2.341321406713626, 2.342095820854044, 2.3420958208540696, 2.3452497079058854, 2.345839413504877, 2.3458394135049088, 2.351656676925308, 2.351656676925338, 2.3535698912267655, 2.3567071800827857, 2.35670718008279, 2.3587995191204754, 2.3595661239825687, 2.3606491799114218, 2.363207890816319, 2.363867642716306, 2.3658723928711396, 2.3658723928711494, 2.3669657312284946, 2.372332033092779, 2.3723320330928104, 2.374078324773405, 2.3796854968809398, 2.388231020518554, 2.3882310205185586, 2.388693925226203, 2.392467347670932, 2.3940666240555726, 2.3940666240556077, 2.409842655667453, 2.414369527440711, 2.418487931543044, 2.4241558862474752, 2.4312960993648156, 2.431296099364847, 2.4356660549628897, 2.4356660549629363, 2.4386491145265867, 2.479172830295167, 2.4823539577002136, 2.482353957700222, 2.4864440816843016, 2.491086981671124, 2.4911760599419654, 2.4915599055534123, 2.4915599055534376, 2.4962342398821225, 2.4962342398821575, 2.505505516439612, 2.5160958099872617, 2.516095809987288, 2.5178462991559427, 2.5226062201562103, 2.5297245351356534, 2.538704265211005, 2.538704265211013, 2.549956370451546, 2.551555322298698, 2.552382852435168, 2.554474706496957, 2.5573975120653616, 2.5573975120653634, 2.563311641053105, 2.5633116410531183, 2.5635062975734906, 2.5689385093530874, 2.5781100399811203, 2.5791231162025547, 2.58146159089311, 2.581702725082178, 2.581702725082184, 2.582883070194102, 2.597710008264311, 2.5977100082643365, 2.598109017561914, 2.5981090175619572, 2.6023958986885223, 2.6023958986885525, 2.604247356128469, 2.606523778494793, 2.6075134231937755, 2.6089757351595235, 2.6095687760540986, 2.609568776054151, 2.6131625740858424, 2.6192858717332053, 2.620107111359104, 2.6216830344468476, 2.6277096928572896, 2.6277096928573043, 2.6293422593892144, 2.6293422593892313, 2.6313626840740567, 2.631362684074072, 2.6314807490073395, 2.6383464937553187, 2.639777799017301, 2.6404228820835907, 2.640422882083629, 2.6404325394811785, 2.644706604060697, 2.6447066040607075, 2.6455525775080906, 2.6490763044728514, 2.658418539355896, 2.660664045013209, 2.661332921831601, 2.6659092892510907, 2.6659092892511214, 2.6687633757502365, 2.6741165997339533, 2.6774839401372996, 2.6776848716036215, 2.680198011405744, 2.680198011405777, 2.6815039909394174, 2.6862148780625654, 2.6862148780626227, 2.6885135510531084, 2.690696010034191, 2.693997548645869, 2.698463838032692, 2.698463838032761, 2.6990401640130037, 2.6999263442964447, 2.7012156296307834, 2.7013526723171166, 2.7021391554930347, 2.7021391554930556, 2.7036227620486, 2.705018173501464, 2.705018173501476, 2.7067718973572403, 2.708457289345149, 2.708457289345154, 2.7130801123375767, 2.7144346841993543, 2.721807271198692, 2.7218072711987142, 2.724502546511394, 2.724502546511415, 2.7264155105258285, 2.7293890145661805, 2.72955944773182, 2.7315644006128568, 2.731564400612872, 2.7375454290012455, 2.7403238251931112, 2.740323825193112, 2.740820432132197, 2.742925748034914, 2.745383902425537, 2.7453839024255524, 2.7459516549338154, 2.745951654933858, 2.746987710095861, 2.74823585192077, 2.748235851920794, 2.748554759588778, 2.7508400903203687, 2.752241742095985, 2.7522417420959875, 2.7523122810993015, 2.7523736569863355, 2.760044296814994, 2.7631780267155825, 2.764802542155745, 2.7652019597676696, 2.7652019597676714, 2.7674106039281705, 2.7686230055567327, 2.7704203375263066, 2.7704577185906016, 2.7704577185906336, 2.7713543000532423, 2.771354300053264, 2.7753720995258933, 2.7774416412505327, 2.7782392714274122, 2.778239271427419, 2.778869023943823, 2.77952578066042, 2.7819336231896674, 2.783813189772097, 2.7838131897721006, 2.7849773356591485, 2.785341813603239, 2.787066422423459, 2.787066422423466, 2.7876540379872776, 2.788098362843746, 2.790439664979554, 2.7904396649795675, 2.7997066255852134, 2.8019716977021023, 2.80197169770212, 2.802284312693959, 2.8022843126939616, 2.8026533239884106, 2.807526456126446, 2.807526456126448, 2.8084465572766657, 2.808885503224018, 2.8108901465330165, 2.8166099824204185, 2.816622644821801, 2.8166497915011695, 2.816649791501182, 2.817967586348115, 2.8249598018728643, 2.8249598018728816, 2.826494855074275, 2.826494855074306, 2.8287316473954993, 2.82969963197727, 2.8316431784696725, 2.832001048649611, 2.832465865693219, 2.8333122669961504, 2.8333122669961552, 2.845763351962573, 2.8457633519625807, 2.850472940462438, 2.8544041724543283, 2.854559878531119, 2.858787029345565, 2.8615427398141313, 2.863940423014886, 2.8639404230148995, 2.8650128065309937, 2.870263379900357, 2.870263379900377, 2.8763270668643317, 2.876938688368867, 2.8769386883689325, 2.878943160452186, 2.880141569796138, 2.881846507166164, 2.883700387286011, 2.883837200269707, 2.8838372002697077, 2.8890569236208066, 2.889092340915386, 2.889309674006727, 2.8893096740067494, 2.8909610027981842, 2.8909610027982007, 2.894178004416704, 2.8972951947730414, 2.898164394232864, 2.898216015988552, 2.899597053226055, 2.9025443785550498, 2.9025443785551106, 2.904266852894677, 2.904890855448846, 2.907225135072288, 2.907225135072333, 2.9112136038496383, 2.9112136038496472, 2.921176790435831, 2.9237286494511707, 2.9243160157651267, 2.9243160157651413, 2.925150927309642, 2.9251509273096694, 2.926334468347956, 2.9338147685870744, 2.933885875014142, 2.933885875014168, 2.9344058299673073, 2.9364165927619124, 2.942929269408, 2.9429292694080367, 2.9445191125987287, 2.9447022630351443, 2.9455076068661024, 2.9455076068661064, 2.9457126420788713, 2.9463056390777975, 2.9481903443280966, 2.9572674989944274, 2.957318065780136, 2.9573180657801537, 2.9602408051728184, 2.9602408051728353, 2.9606079737915185, 2.9619852335926717, 2.9623762503434614, 2.9707220043143177, 2.970722004314351, 2.9711199186435353, 2.9723694907010323, 2.9723760815456686, 2.9723760815457045, 2.9733180641133288, 2.9736980493865306, 2.976025406217603, 2.9772283170552827, 2.977228317055294, 2.978303148691725, 2.9783031486917753, 2.979540933251951, 2.981889874038062, 2.9827685798094166, 2.984266491669323, 2.984266491669369, 2.9849743972301686, 2.987856504106098, 2.9910985633743237, 2.9947177633719555, 2.99472548396873, 2.9949422488357733, 2.994942248835795, 2.9960832071703023, 2.997193063460656, 2.997193063460661, 2.9998169103336183, 3.0014727690892298, 3.0014727690892427, 3.001844922294703, 3.003277768072648, 3.0032777680726883, 3.0048936710843335, 3.0065387521671183, 3.010418726776463, 3.014388714586975, 3.014467919198753, 3.0144679191987596, 3.015562076716843, 3.015562076716884, 3.0195761814983446, 3.021390778630327, 3.0226623616009634, 3.0226623616009873, 3.022965420665557, 3.0241756847146135, 3.0241756847146415, 3.024579549824692, 3.027993121602698, 3.0284712195626375, 3.0307113363545293, 3.0307907129482086, 3.0310367330013723, 3.031036733001393, 3.0364543830021673, 3.037437997274404, 3.0374379972744197, 3.037594878763185, 3.0400560159373597, 3.040463019023558, 3.0407074585637814, 3.0409431150767925, 3.040943115076797, 3.0434546298927088, 3.0434546298927163, 3.047234078308885, 3.0472340783089327, 3.049586733458927, 3.0532489422256117, 3.053911701506265, 3.0540125932526143, 3.056656214022613, 3.058762115539631, 3.0613713948545613, 3.061371394854564, 3.062424934112432, 3.0636971688111023, 3.063697168811107, 3.0661750890151396, 3.067424136590832, 3.0689691448435417, 3.073099892718351, 3.0745720681023783, 3.0745720681024102, 3.0758137391455764, 3.0758137391456066, 3.0775331939287063, 3.0793396034800007, 3.0827844242785014, 3.0834121081050516, 3.0834121081050716, 3.0838963103482984, 3.083940154998127, 3.084116560891069, 3.0841165608911094, 3.0844771179865, 3.085478616620328, 3.086092538506298, 3.0860925385063522, 3.0861583646394912, 3.0880516818592874, 3.088598708769234, 3.0901593118355493, 3.090261067430915, 3.0902610674309465, 3.0914771393863694, 3.091499459277475, 3.09149945927751, 3.093232390846255, 3.0936219702685586, 3.0936219702685603, 3.0936525428912587, 3.096642608557442, 3.09664260855748, 3.096712335621374, 3.0987826487182843, 3.0991246616407486, 3.0991246616407633, 3.1002988936506437, 3.100298893650684, 3.100759268025825, 3.1020192463240726, 3.1028428016132965, 3.1033931761385447, 3.104086970390007, 3.1040869703900147, 3.1052610998520396, 3.1052610998520507, 3.1053283302490855, 3.106198907060806, 3.107518913489997, 3.1076544792017975, 3.107654479201842, 3.1085559945333765, 3.110853922435732, 3.112306898143304, 3.1124531161333238, 3.112453116133345, 3.113826516944081, 3.11389640636964, 3.116091338295244, 3.1160913382953015, 3.1174788059952516, 3.117478805995254, 3.118015828083543, 3.118082306977848, 3.1196495090884073, 3.120489099137953, 3.120489099137974, 3.1208442182277727, 3.1214257623562784, 3.1215990713663624, 3.1215990713663895, 3.1219873607339195, 3.124448119794832, 3.1261009683359022, 3.128652959854785, 3.128652959854826, 3.1286708128835095, 3.1286708128835516, 3.1320922016513375, 3.1357304279576663, 3.1362426875331106, 3.136242687533135, 3.1376087147002147, 3.1382231401223595, 3.139799896778721, 3.1442394159681677, 3.1455613652745367, 3.145561365274613, 3.1476221359570244, 3.1476221359570506, 3.150589756461139, 3.150589756461206, 3.1560219869321786, 3.156107825063471, 3.156208490615372, 3.15798723917843, 3.1579872391784933, 3.159632065924455, 3.1621602218906943, 3.1627532338958315, 3.162753233895879, 3.163525727436788, 3.166677795446918, 3.1681190979068927, 3.1681190979069265, 3.1715157012787656, 3.1737907744566605, 3.1739178835255566, 3.1740762480012297, 3.1740762480012408, 3.1743807349222686, 3.174380734922272, 3.1761406761203763, 3.17840304812356, 3.1784030481235748, 3.1784574911409935, 3.1794888720814454, 3.1794888720814565, 3.181775851798421, 3.1826940418293272, 3.1842488768285158, 3.189615658036814, 3.1907954873790394, 3.1910013675893336, 3.191001367589353, 3.192972176373535, 3.1930950387332566, 3.193095038733263, 3.194777228634011, 3.195377943146462, 3.1984297749135386, 3.1994921386530755, 3.1994921386530786, 3.1997279085981347, 3.20052317099133, 3.2021776930759946, 3.2021776930760577, 3.202394674976562, 3.204326454318371, 3.2043264543183803, 3.2057076252471175, 3.206694115064075, 3.20737086392764, 3.20737086392765, 3.2080555607160615, 3.208694836586214, 3.2102696148765086, 3.212076901503781, 3.212659433368073, 3.213403122386222, 3.2134031223862474, 3.2159748524259286, 3.2170448126473703, 3.217535902443157, 3.2175359024432106, 3.2177535758767077, 3.218558790704887, 3.2193273144956986, 3.2193273144957266, 3.2211086954549706, 3.222811645040402, 3.2243904366013263, 3.2243904366013374, 3.224514599439407, 3.224514599439437, 3.224698446251338, 3.22469844625135, 3.2256088246759043, 3.2262490873214515, 3.2263493382187205, 3.2279333179368934, 3.2279333179369023, 3.2280969420083614, 3.2298743077465524, 3.230761427542629, 3.2308403681462705, 3.2323839840027473, 3.232383984002757, 3.233960883374833, 3.234081650198743, 3.2340816501987555, 3.2347724099411894, 3.2356106480095503, 3.235845785727264, 3.236617054600931, 3.236617054600966, 3.237522186995848, 3.2375221869958555, 3.2397181967478628, 3.2403016219704455, 3.2403016219705068, 3.242029733872606, 3.2441468371752764, 3.2451011361292488, 3.2468855283116995, 3.2471619874198936, 3.2489842423109376, 3.2490727100035635, 3.249072710003566, 3.251436071728168, 3.2523517365437558, 3.256487851960288, 3.256487851960324, 3.2582794807110798, 3.258279480711111, 3.2610481278074794, 3.2611211769965815, 3.2611211769966046, 3.267132994239002, 3.2705759283149107, 3.2707466099648372, 3.2715648179978754, 3.2715648179978856, 3.2735538226066256, 3.2757914465312776, 3.27690479913942, 3.2770300683120954, 3.277030068312096, 3.2870428315771942, 3.2875603391447714, 3.2897511589486355, 3.289751158948669, 3.2918416339312353, 3.2930259240088486, 3.2937200924171752, 3.2961363211378476, 3.2961363211378796, 3.296597020274182, 3.296620203173773, 3.296620203173779, 3.296886103128167, 3.2971275840245795, 3.298503872039729, 3.2987748010823634, 3.298774801082374, 3.299309697703475, 3.2993096977034835, 3.3003536399267945, 3.302045006222365, 3.3025982515500543, 3.302936801439876, 3.3029368014398766, 3.3039183759748054, 3.307234439156476, 3.307234439156486, 3.3078485733352245, 3.307848573335238, 3.308414990410359, 3.309875520865924, 3.310042445994822, 3.312938546521154, 3.3154866889978694, 3.315486688997901, 3.316173740038291, 3.3184844505155207, 3.320043113649869, 3.3200431136498976, 3.3203963509347214, 3.320748277951275, 3.321358027582795, 3.322618707472834, 3.324161478257915, 3.3241614782579907, 3.3266202380602854, 3.3266202380603134, 3.327470675715809, 3.328400533271311, 3.328400533271327, 3.330023175853231, 3.331781649639048, 3.3317816496390606, 3.331995566137856, 3.334939576595479, 3.3378774578988, 3.3378774578988297, 3.3382384616231473, 3.3386499981234565, 3.3391670620059104, 3.340197314435508, 3.3416100046126767, 3.343073324290613, 3.3430733242906507, 3.346266743357132, 3.346960020107427, 3.3469600201074425, 3.349593839227484, 3.3496333709915613, 3.350931748875841, 3.3511732017367684, 3.351503080836364, 3.351503080836372, 3.3563976915553857, 3.3576966147727445, 3.357696614772765, 3.359624480772388, 3.3596244807724056, 3.3599144672820986, 3.3628329828300596, 3.3640324125859005, 3.3651120729764243, 3.365517066349148, 3.365517066349168, 3.3667742262986358, 3.368616937463399, 3.368616937463409, 3.370187133138829, 3.37018713313887, 3.372285588511581, 3.3724185745064386, 3.3726016161466648, 3.3735558143457767, 3.3757189036564954, 3.378010000152846, 3.3783816824459243, 3.3801093884038558, 3.3801093884038877, 3.3806277746686857, 3.3861919901420934, 3.3866467364062993, 3.3871603241832533, 3.38716032418328, 3.3890161440092506, 3.3890161440092537, 3.390797783557693, 3.392075050301896, 3.3967546831005495, 3.3967546831006024, 3.3991931755812805, 3.4005158899236845, 3.4040574903308496, 3.4040574903308625, 3.405340486480185, 3.4071539607785333, 3.4076740396503373, 3.4076740396503378, 3.4135293768119683, 3.415286579952779, 3.415709675616771, 3.416026723258698, 3.416026723258737, 3.4177119615428615, 3.41835239480901, 3.418352394809034, 3.4192414252440386, 3.421331365685759, 3.4226502335592217, 3.423530737702197, 3.4257998543479675, 3.4261763190268053, 3.426176319026844, 3.4264977053382633, 3.428035277585037, 3.4284216761237634, 3.4284216761237953, 3.429954854816605, 3.432945572253892, 3.436229399956603, 3.4362293999566464, 3.4379432806723966, 3.438722781565503, 3.4399234015575204, 3.439923401557523, 3.4400733628600326, 3.4411578133383074, 3.4433332728911203, 3.4433332728912496, 3.4457550089793894, 3.4504957169446526, 3.450495716944664, 3.4556959867664085, 3.4556959867664205, 3.456455459723669, 3.456455459723687, 3.4573776452809417, 3.4598467320308597, 3.4605484641428736, 3.4620587051437615, 3.4627806167396726, 3.463964813026701, 3.463964813026756, 3.4651515443486396, 3.466788003729832, 3.466788003729896, 3.472185250842904, 3.472185250842908, 3.4730485130157973, 3.473655516408071, 3.4769558356684476, 3.477925347338496, 3.477925347338528, 3.4802928061373124, 3.4802928061373297, 3.4805569795805784, 3.4862956083953507, 3.486629200684772, 3.490250387367679, 3.4964279939794363, 3.4964279939794483, 3.5016436616904385, 3.5074888803654454, 3.507488880365485, 3.508000911910625, 3.508770446103375, 3.508770446103427, 3.509139565341018, 3.5118221228830997, 3.512429707980757, 3.5133484987562316, 3.513589605786464, 3.5139415582461977, 3.5139415582462363, 3.515896112392053, 3.516671215405673, 3.517580851404707, 3.517596660025158, 3.517596660025175, 3.5187191941261933, 3.518719194126198, 3.519099883334062, 3.528837465678487, 3.5298888030120805, 3.5298888030121116, 3.5317122923787183, 3.5332351427897746, 3.534174847205363, 3.5341748472053958, 3.535052093210369, 3.53567410250561, 3.5381469283878166, 3.538146928387831, 3.539067606707195, 3.5400419214901704, 3.5406527240780603, 3.543463267459256, 3.543675154326701, 3.5436751543267033, 3.546072037442106, 3.5460720374421104, 3.551088965437497, 3.5514176556373203, 3.551417655637377, 3.556558924552543, 3.5588623899757033, 3.561415857841754, 3.5614158578417645, 3.569655784168169, 3.5709620302849405, 3.5719854498919346, 3.571985449891943, 3.5721518917988924, 3.5723752784415663, 3.5728471820275804, 3.572847182027599, 3.5772101787042536, 3.578061674743308, 3.5781824723478475, 3.5781824723478755, 3.588803111273941, 3.590738164377411, 3.5924275232144787, 3.592427523214513, 3.5952089024951333, 3.5952089024951563, 3.59545384697803, 3.5960129018982956, 3.5987527654484905, 3.6012499163561547, 3.6041164641484698, 3.6041164641484817, 3.6046450894227604, 3.6093308031441262, 3.611477298597089, 3.61147729859709, 3.6125269102536457, 3.61500461449904, 3.6150046144990404, 3.6188040232892993, 3.618804023289304, 3.61960755639301, 3.619722711857104, 3.6210487745056055, 3.621150210272403, 3.6211502102724085, 3.6231567982545356, 3.6265823401904558, 3.6268626783406273, 3.626862678340668, 3.630528198226144, 3.639435101257677, 3.6394351012576793, 3.6413098522041216, 3.6420866332330535, 3.6450512437469427, 3.6453734093845975, 3.6453734093846473, 3.6490227672992543, 3.6501734342674377, 3.650199573931561, 3.6501995739316375, 3.650989851076166, 3.6510006173934753, 3.6510006173934775, 3.657274014026378, 3.657792540521207, 3.65817827832228, 3.6634523037716202, 3.6634523037716646, 3.666828772897256, 3.669953087124987, 3.669953087125029, 3.672079788152255, 3.6721442460231364, 3.67214424602316, 3.6728982708382216, 3.6731088554266367, 3.6748967857855814, 3.6788132222577996, 3.6788132222578662, 3.679229372001231, 3.6792293720013123, 3.687367429555523, 3.6873674295555308, 3.6873727096848707, 3.6876712769862743, 3.689121570893909, 3.6966091612933507, 3.696862973440778, 3.6972794045444015, 3.697996224687384, 3.698626037523776, 3.7023516657545033, 3.7023516657545446, 3.7027089292673545, 3.7027089292673776, 3.702998024231348, 3.7077950656092655, 3.7078590835604137, 3.707859083560421, 3.7107275374560587, 3.71266694156742, 3.7126669415674747, 3.71281011363897, 3.713755584719665, 3.7137555847197126, 3.7144613893573455, 3.715301078274685, 3.7153010782747553, 3.7171609347863734, 3.7182060574883606, 3.719190158802239, 3.7211426388914974, 3.7219430806133267, 3.721943080613368, 3.7239838234266736, 3.7240275640712976, 3.724597778070279, 3.725597353265462, 3.7265692654681604, 3.727367248121124, 3.7291262662602973, 3.729126266260303, 3.730013283133232, 3.7306098113734096, 3.7306098113734314, 3.7326017523097295, 3.736246876597964, 3.7387738063508267, 3.7390008771143872, 3.7409699886281924, 3.7409699886282453, 3.7422858603233857, 3.74228586032343, 3.7429271918355314, 3.7450497785257664, 3.745049778525817, 3.745158258399688, 3.7471273603986206, 3.754139535150886, 3.7541395351509097, 3.755006211339262, 3.7568133872425604, 3.7571057858723416, 3.7578491891793275, 3.757849189179388, 3.758352704091528, 3.7583527040915437, 3.758636283478875, 3.758636283478875, 3.763283918286592, 3.7640390319793964, 3.765303807697049, 3.7657448137817506, 3.766286966403265, 3.7662869664032876, 3.767034803148771, 3.771142977682261, 3.7711429776822647, 3.7718291719374557, 3.7733920317991267, 3.7733920317991654, 3.773608220737667, 3.7745850073093234, 3.77807791676409, 3.77836281420888, 3.7783628142089225, 3.781709500656339, 3.7823875160656515, 3.783272635907954, 3.7832726359079585, 3.7841030871658896, 3.786188837625773, 3.7861888376257955, 3.7866614726737806, 3.789619986567045, 3.7914362252017177, 3.7952237816473255, 3.798632172710629, 3.7995992011587214, 3.7995992011587587, 3.7997340403217095, 3.800919856731162, 3.808018199961918, 3.8080181999619276, 3.8119794879407993, 3.8143340347890073, 3.821381262168629, 3.823591713009828, 3.823591713009839, 3.8291294353717786, 3.8325113325961664, 3.8325113325961917, 3.834718154767761, 3.837996292208843, 3.8415929830072715, 3.8443971395149723, 3.8443971395149847, 3.8508015306620793, 3.851917183107563, 3.851917183107592, 3.852071463148144, 3.8538730429760615, 3.854921449126645, 3.8549214491267345, 3.854932595976959, 3.8563206526535447, 3.8568744372395978, 3.8611829617746842, 3.8611829617747344, 3.862929573907406, 3.865570741427953, 3.865570741427973, 3.8680994145036514, 3.8706364344089375, 3.8706364344089965, 3.874720202414175, 3.8755234267294525, 3.8761979243569513, 3.8764935086504217, 3.8770090522125282, 3.8795005964106015, 3.8795005964106295, 3.880658388241839, 3.8806934551439665, 3.883148879241025, 3.8831488792410287, 3.8894450469219692, 3.8901598153096892, 3.8938141273590112, 3.894130384179418, 3.8941303841794688, 3.896702335368995, 3.8982192647397413, 3.9009585750062, 3.90095857500623, 3.902056581582104, 3.9020565815821118, 3.90220379738779, 3.902443220241049, 3.9024432202410884, 3.902698069659274, 3.9108657517746184, 3.9124364411455765, 3.9165713221718246, 3.9165713221718526, 3.918790109531232, 3.9210001340612144, 3.9267540710612883, 3.9267540710613758, 3.9309505234309423, 3.9404580443811765, 3.9457032874994096, 3.946474660200941, 3.946705640097077, 3.946705640097088, 3.947538951145332, 3.949384829692105, 3.9495524602198793, 3.9495524602199295, 3.949923447005822, 3.951144572244594, 3.9511445722446137, 3.953764949098349, 3.9537649490983937, 3.955241690265988, 3.9584075083554517, 3.960850325651443, 3.9608503256514664, 3.962568221873062, 3.9632539405792198, 3.967889381283874, 3.977043759937709, 3.9770437599377884, 3.9776320219419805, 3.9822232797977684, 3.984923986584049, 3.9849239865840724, 3.9854977417494926, 3.9864240679479424, 3.986582145511193, 3.9868616478632823, 3.988065576916031, 3.9880655769160547, 3.989109156827819, 3.989110490327925, 3.989110490327949, 3.9922142975014094, 3.9927614345507845, 3.9953787169086894, 3.9953787169087276, 3.9999999999999885, 4.004796978468416, 4.0079194115454, 4.025198041597644, 4.037784438647258, 4.037784438647291, 4.040521083193447, 4.043515807374359, 4.043515807374434, 4.045105731029745, 4.049041514799168, 4.049041514799183, 4.050270468294673, 4.053290823711322, 4.05558022889667, 4.055580228896736, 4.057538058767049, 4.060346408188945, 4.062289101180097, 4.063323166181148, 4.064502468759211, 4.066276008986658, 4.066276008986676, 4.068222492326268, 4.073981713730003, 4.076520644215121, 4.076520644215144, 4.076955247864261, 4.082373583080068, 4.083069718706032, 4.08306971870606, 4.084216332993078, 4.090262612927115, 4.090455641631819, 4.091433965791177, 4.091433965791193, 4.09622717211829, 4.097678866918022, 4.101279075949001, 4.1012790759490105, 4.102205504846305, 4.102772138186287, 4.102772138186317, 4.105665291771169, 4.108218403952457, 4.108218403952529, 4.109176111571405, 4.109535367604437, 4.110675344380395, 4.110908986289937, 4.110908986289968, 4.114829782560351, 4.114829782560362, 4.115753571523669, 4.118638813428662, 4.119353543643254, 4.119401564801568, 4.119401564801594, 4.1194446386160495, 4.120544526041166, 4.120544526041195, 4.12408038074054, 4.125296114695766, 4.126827914493254, 4.129607279144092, 4.129607279144096, 4.13445081111193, 4.136811783396933, 4.138093559908456, 4.138093559908521, 4.142994492078862, 4.144604495292784, 4.144604495292786, 4.145049512814128, 4.1459828274053026, 4.1506533293401615, 4.150653329340245, 4.1559641279040465, 4.157835446877962, 4.161182907660563, 4.161207862210073, 4.161207862210087, 4.165990469669472, 4.165990469669507, 4.1786998987254975, 4.1804522876349655, 4.180695686645277, 4.180695686645299, 4.181320969068458, 4.184286376212995, 4.185076351404606, 4.185150020758305, 4.185150020758357, 4.192223644051073, 4.192223644051108, 4.192329381990182, 4.19598866587426, 4.198374562369324, 4.198374562369387, 4.199183142984603, 4.204019926603511, 4.204019926603519, 4.205342822861646, 4.211531171494291, 4.211531171494304, 4.212739538848315, 4.214856945572476, 4.215038344076595, 4.218889920274984, 4.221267302192095, 4.221312095827545, 4.225477710567906, 4.225477710567925, 4.229713776166567, 4.232619766791716, 4.232619766791718, 4.234253645490019, 4.2342536454900195, 4.235224582010685, 4.2370926506164, 4.242054796781695, 4.245015533892288, 4.245340151303493, 4.245340151303539, 4.246313517238476, 4.24730259053179, 4.249658768816121, 4.2496791272021985, 4.249679127202271, 4.255872708437801, 4.259631495008939, 4.259885645119463, 4.259885645119496, 4.260914154466639, 4.26166637736697, 4.261666377367069, 4.262495225288548, 4.264244473984117, 4.264244473984171, 4.270364631546597, 4.270364631546603, 4.271086353806794, 4.273585484510897, 4.275484136285764, 4.278899258169875, 4.278899258169898, 4.28031934751277, 4.28106257003614, 4.286206292765889, 4.2862062927659395, 4.2862724386761135, 4.289572087064981, 4.289736862380628, 4.289736862380688, 4.2912312725714985, 4.29842847563027, 4.29842847563028, 4.300512935673057, 4.302425510611477, 4.302572004972666, 4.3075939116757604, 4.313486026083157, 4.313486026083177, 4.315584557440309, 4.315584557440358, 4.318156897541356, 4.321732353124008, 4.322086211209932, 4.322481125610605, 4.322481125610666, 4.3243014832186795, 4.324717770279969, 4.326268289087501, 4.329550517002528, 4.329570739520575, 4.329570739520575, 4.329838978142439, 4.3332285041076934, 4.333228504107762, 4.33978565890695, 4.341171912948425, 4.344368650327069, 4.3484116582603605, 4.349337443707052, 4.349337443707099, 4.353467308898551, 4.356091632088019, 4.356091632088038, 4.361578967863671, 4.3638046454224035, 4.363864922710879, 4.365799213609223, 4.365799213609258, 4.367147196554221, 4.369465238057214, 4.371741268149387, 4.371741268149506, 4.3764717123122265, 4.377799303156416, 4.377799303156453, 4.387398163690061, 4.389031356150576, 4.389031356150612, 4.389839197968803, 4.395480161474716, 4.395924850849877, 4.3959248508498945, 4.400161683755479, 4.4015770473407665, 4.401577047340805, 4.404562591692674, 4.408749607279479, 4.410543767922025, 4.4117664801055065, 4.41176648010551, 4.423098140496198, 4.423098140496218, 4.433488346870849, 4.436082228351557, 4.4374952243484795, 4.437957974783706, 4.43887587292936, 4.438875872929424, 4.439297598853632, 4.439297598853668, 4.444824972069501, 4.4449429788059795, 4.449400979509201, 4.4520330421027525, 4.452033042102788, 4.452571054605743, 4.456666592227034, 4.458719232382504, 4.4627576475939, 4.464362000103761, 4.464465478883722, 4.466201181417651, 4.466201181417691, 4.467478237106802, 4.46775876701124, 4.468691963557267, 4.4686919635572835, 4.470366610959197, 4.472971587075113, 4.472971587075208, 4.473004168547931, 4.475013144405773, 4.4755576026616195, 4.476337123328338, 4.476653029781562, 4.476653029781567, 4.4795512506341, 4.479551250634165, 4.479801715648608, 4.480022724717936, 4.480079511713235, 4.480079511713239, 4.483115117457225, 4.48642206342284, 4.486949419646307, 4.487565720184787, 4.487565720184842, 4.489439557073504, 4.491435549878052, 4.491435549878081, 4.492208639074271, 4.494139114177088, 4.494139114177097, 4.496324064179252, 4.496324064179265, 4.497150623694582, 4.498032397843138, 4.501393787349444, 4.5028717153123115, 4.5029975905922806, 4.504588762172567, 4.504745443912703, 4.506148685312226, 4.506148685312248, 4.5072339634334595, 4.507233963433527, 4.510658367554164, 4.511214830570334, 4.511300973162299, 4.511300973162356, 4.512669264971447, 4.512669264971454, 4.515244991918575, 4.517030406228717, 4.5170304062287485, 4.5203731881800815, 4.5214450049797374, 4.524931210600896, 4.5254466552474355, 4.529387049064666, 4.529752750375752, 4.529752750375806, 4.529953268282042, 4.533862590288071, 4.536880482332653, 4.542978945201346, 4.543265005925551, 4.544327159669825, 4.544327159669841, 4.545812778352248, 4.545812778352267, 4.547153277028867, 4.547153277028898, 4.54732531298495, 4.5473253129849684, 4.548959517975528, 4.552632927102423, 4.553612420053666, 4.558648466013626, 4.560155752468073, 4.561675717354792, 4.563963609491714, 4.565214457370725, 4.566582279043523, 4.566582279043545, 4.568344143626827, 4.569961941981258, 4.570101474966025, 4.570101474966032, 4.573715535579727, 4.573715535579741, 4.573958651272181, 4.573995092733067, 4.575130549735272, 4.579949208294685, 4.57994920829471, 4.579996484698713, 4.5840494258309725, 4.585090825148372, 4.586395722557509, 4.587746789009624, 4.587746789009692, 4.587782073293747, 4.594066547093919, 4.5940665470939495, 4.596423472915235, 4.598599322613153, 4.599146918101434, 4.599146918101471, 4.600690775963708, 4.602906769927584, 4.602906769927637, 4.609103382088278, 4.612633748596368, 4.613095793888094, 4.61309579388814, 4.613097648141485, 4.6130976481415225, 4.614374263166154, 4.615010913857808, 4.61757843922161, 4.61757843922163, 4.619261131777513, 4.6245051022857195, 4.6266815758569, 4.62725068261135, 4.627575643841863, 4.627575643841906, 4.628593717930058, 4.629661267012972, 4.629661267012977, 4.631664890638299, 4.631664890638331, 4.633017054114817, 4.6349172917286205, 4.634917291728668, 4.635642278442893, 4.63798950829098, 4.638684791472123, 4.639624381709884, 4.640950311450109, 4.641270967381575, 4.641270967381589, 4.643400777471167, 4.645058516480055, 4.6450585164800975, 4.647817490856596, 4.648035490821717, 4.6480354908217585, 4.649241270868385, 4.649513153780324, 4.651680827813701, 4.65444917215463, 4.6544491721546555, 4.655846524357091, 4.657988472444162, 4.658190653479113, 4.662442095937235, 4.66244209593725, 4.66297483538879, 4.662974835388798, 4.666232561045861, 4.666232561045867, 4.666316933708233, 4.667091955639244, 4.669939735190754, 4.669939735190762, 4.672049274152374, 4.672722810559504, 4.674848194641348, 4.674848194641375, 4.6759540061083005, 4.676756724082871, 4.676756724082902, 4.676835305830243, 4.680178053395367, 4.6814669998385, 4.681466999838537, 4.682361912986778, 4.68499849512886, 4.684998495128879, 4.687035490751017, 4.689061761230331, 4.689061761230355, 4.690052597320058, 4.6902811648257074, 4.693132799607405, 4.697073580032066, 4.698736077867089, 4.699191195784499, 4.699677737073938, 4.699941291831028, 4.700243451332718, 4.700243451332744, 4.701818396170237, 4.701818396170248, 4.707243659967028, 4.707888813673291, 4.70828786803456, 4.708287868034613, 4.708299078018429, 4.711371068998905, 4.711371068998932, 4.7116029543569, 4.712370683855273, 4.712738982172739, 4.712773804921397, 4.712980644190679, 4.71451100383336, 4.718657209398076, 4.721954845222585, 4.721954845222614, 4.723709276097765, 4.7304425436483974, 4.7304425436484, 4.731330266400569, 4.73180865940936, 4.73180865940941, 4.735696441591867, 4.737833190750135, 4.737833190750141, 4.741706270440727, 4.743646555931691, 4.7497867552174835, 4.750199685720484, 4.752908158136772, 4.752908158136807, 4.756984624164778, 4.757765533791615, 4.758283154215661, 4.7582831542156745, 4.759949889270438, 4.761144248147379, 4.762697326885796, 4.762697326885798, 4.765017589410752, 4.774171672717257, 4.774171672717259, 4.775676415953955, 4.780155412244111, 4.781284978596381, 4.781284978596388, 4.784586862216635, 4.786294572142765, 4.791818183765724, 4.79235292761756, 4.793117754423336, 4.793117754423346, 4.793766827396693, 4.7941226885205905, 4.794122688520626, 4.801827513186713, 4.801932627457114, 4.801932627457175, 4.802027924876236, 4.806625531685132, 4.808374258391087, 4.808374258391089, 4.810219348092119, 4.81163274719213, 4.812938115910941, 4.813826257618798, 4.813826257618826, 4.815530014978834, 4.819043583689704, 4.819043583689751, 4.819077563775418, 4.825710370547978, 4.826391303320449, 4.826391303320605, 4.829340079354524, 4.829543258481028, 4.834189088841387, 4.83441519136105, 4.837009546568852, 4.843707851162139, 4.843707851162272, 4.845405933179748, 4.852194231341333, 4.852939568774391, 4.85724683052397, 4.857246830523975, 4.8582434804498575, 4.858243480449878, 4.8585864840062305, 4.85943025200196, 4.863019826406904, 4.863458518603969, 4.863458518604081, 4.864395288292427, 4.8643952882924895, 4.865831964781437, 4.865831964781452, 4.867668955459719, 4.86931603907038, 4.8767597954096065, 4.8767597954096455, 4.878500828262983, 4.878902002128848, 4.881382374022159, 4.8815806906393595, 4.881580690639362, 4.882459332187903, 4.886136541297255, 4.8876299181961596, 4.887629918196165, 4.889711054267762, 4.889711054267839, 4.889963395182115, 4.889963395182124, 4.890899567791184, 4.891541590405204, 4.892085835985946, 4.892085835985956, 4.893290468673714, 4.89867412378781, 4.89930950242533, 4.8993095024254, 4.9008498435522325, 4.902498187373201, 4.903246680452895, 4.90684776883137, 4.908222121569676, 4.908222121569727, 4.91300476636685, 4.914473658404105, 4.914542153880586, 4.915714002390673, 4.91956049068879, 4.919715142721925, 4.919715142721928, 4.920607627734805, 4.926279186681996, 4.926279186682057, 4.927879182852873, 4.927879182852914, 4.929328615913636, 4.931240651903444, 4.932202175935891, 4.932202175935939, 4.934879886955001, 4.935321632062715, 4.935745072973593, 4.93726781457902, 4.937478048811092, 4.937478048811208, 4.939004670380015, 4.939004670380044, 4.9406212051281315, 4.942521066367134, 4.944243384044039, 4.946656008413737, 4.95043393221578, 4.950433932215818, 4.952145113096536, 4.952145113096554, 4.957218483317982, 4.957851755294499, 4.95835773098729, 4.959952123397375, 4.9599521233974135, 4.960311977527834, 4.9632987249561715, 4.963860075289397, 4.9638600752894195, 4.964819179080523, 4.964993045449393, 4.967179471246154, 4.967669257958708, 4.969076974344528, 4.9695258407952325, 4.969525840795267, 4.969793298840809, 4.971964479913059, 4.972971358513302, 4.972971358513338, 4.974388674243744, 4.974874657583365, 4.974874657583412, 4.976578633728052, 4.976578633728071, 4.978289866246858, 4.978962524898596, 4.982928963019026, 4.985768996781838, 4.985831482821469, 4.9858314828215, 4.987566346623065, 4.988115004264587, 4.988115004264604, 4.989233201790953, 4.990226188083491, 4.99070001361987, 4.991055882772779, 4.991055882772795, 4.991411938254476, 4.991477248704894, 4.9914772487049, 4.992165615293327, 4.99216561529343, 4.9926029948054325, 4.993922902761154, 4.993922902761171, 4.9942169394595135, 4.9975913114069535, 4.997591311407019, 4.998347324882096, 4.9990897406132975, 5.000730376664125, 5.00132622765955, 5.001910052489674, 5.002502951891824, 5.002502951891843, 5.003037632948172, 5.003543536227195, 5.004410527308285, 5.0044105273084325, 5.004813919993942, 5.00491342474763, 5.00497784896901, 5.005419915647505, 5.006506883300895, 5.009736749538491, 5.0106345300260475, 5.010634530026076, 5.012017773572426, 5.012091382240483, 5.012091382240503, 5.012335292718759, 5.014505124330167, 5.0153134602672615, 5.015313460267301, 5.016311444245604, 5.016821427747164, 5.019113341068168, 5.019113341068169, 5.0191899819518175, 5.019189981951881, 5.022562638309377, 5.0225626383094735, 5.023347288119299, 5.023967874639324, 5.025564194367868, 5.025564194367892, 5.0261626532393215, 5.026502172768694, 5.029859554711714, 5.037354700112354, 5.037354700112371, 5.042505480294945, 5.042824663366745, 5.042824663366764, 5.043654611361419, 5.0451515625467485, 5.050035792204721, 5.059587000458712, 5.059587000458714, 5.069480320948976, 5.070633866835691, 5.077688502176889, 5.083963604811551, 5.083963604811554, 5.087345277527704, 5.0873452775277075, 5.088753016124145, 5.088753016124152, 5.092967567233541, 5.094127782298842, 5.094811610194613, 5.095339603484165, 5.095745276283034, 5.097414630206278, 5.097414630206313, 5.099849501367347, 5.100640682763421, 5.102155817238709, 5.103202390817117, 5.103202390817155, 5.105961825815403, 5.107434552093359, 5.10743455209347, 5.108785817157563, 5.109160012284921, 5.109160012284921, 5.110268296446796, 5.111032531456539, 5.11103253145655, 5.1111647134108775, 5.111384532226859, 5.112144532741194, 5.114211867276615, 5.114211867276638, 5.114745048829139, 5.116207980091802, 5.116509304468583, 5.116509304468587, 5.117110567304696, 5.118437787313407, 5.118437787313422, 5.120947462704814, 5.1210671970337955, 5.122608431822529, 5.124907017550953, 5.124907017550962, 5.126298838878146, 5.132508107740709, 5.132508107740717, 5.133349510211831, 5.135160174292809, 5.138090265023383, 5.1410338116450145, 5.141033811645094, 5.141212203362634, 5.143436972346198, 5.143436972346276, 5.144717115013169, 5.147388192315924, 5.147580182833537, 5.147580182833582, 5.148361573123419, 5.151999303030626, 5.153675937668988, 5.153675937669031, 5.156039501080506, 5.157844888521271, 5.157946579216225, 5.157946579216269, 5.161089635085612, 5.161090235664986, 5.1616980629163765, 5.161698062916418, 5.1630155025459485, 5.163015502545949, 5.164832116577856, 5.166729891867846, 5.168424384059813, 5.169825189378708, 5.171133764501647, 5.172532910119446, 5.1725329101195205, 5.175826407067101, 5.177316633694609, 5.178031662769795, 5.17807271326621, 5.179602770139819, 5.179602770139848, 5.185327991953906, 5.185327991953956, 5.187474623309518, 5.194345734734551, 5.19434573473458, 5.19514830614718, 5.195718902392291, 5.197454741020227, 5.198844927044973, 5.199112825598155, 5.199703523676105, 5.199703523676108, 5.204026447051308, 5.207937248139261, 5.207937248139287, 5.2086284163208765, 5.210150674738689, 5.211765491939941, 5.211765491939969, 5.212637419402, 5.212637419402012, 5.213543289134984, 5.21757927843403, 5.217579278434043, 5.219040408363736, 5.222417033527294, 5.222417033527301, 5.223073334223426, 5.223134009579963, 5.228814633909379, 5.233292651475006, 5.234551702679976, 5.235087808045595, 5.23555441215143, 5.237001441999343, 5.237001441999377, 5.237010615920587, 5.2410422328780655, 5.241079364149992, 5.241079364150006, 5.241900017481862, 5.242040935600554, 5.242040935600583, 5.244212089835232, 5.24440386429525, 5.244403864295267, 5.2449590163025235, 5.247001412245076, 5.24920919947032, 5.249209199470354, 5.250448839262077, 5.250519588070846, 5.250874535772064, 5.250874535772106, 5.252150589964877, 5.253751945412742, 5.256881817714783, 5.256881817714805, 5.259412381184638, 5.262322245501892, 5.262322245501921, 5.263275518888269, 5.263275518888323, 5.263293543824142, 5.264332700767248, 5.264619345280899, 5.264955050578421, 5.266213009592287, 5.270336233831095, 5.271479026201009, 5.271479026201025, 5.273026077010662, 5.273026077010733, 5.2752451461465375, 5.276836456171027, 5.276836456171065, 5.2780458073622984, 5.27959714900236, 5.280927785120515, 5.2813641894024075, 5.281603453215409, 5.28444766707001, 5.284447667070046, 5.284525809130123, 5.293861129090473, 5.298741728522503, 5.29874172852254, 5.298968213029015, 5.307224060768539, 5.308178480964354, 5.30817848096442, 5.309734886613687, 5.310389450463007, 5.310959525703565, 5.311824865452105, 5.311824865452147, 5.313776496124992, 5.316979761450089, 5.319526474936991, 5.32199285498536, 5.321992854985414, 5.323172889904605, 5.325316903062709, 5.3253169030627685, 5.32643120176333, 5.326431201763354, 5.327207003001777, 5.328644965867195, 5.33095559644496, 5.331339702518808, 5.331339702518854, 5.332769253211418, 5.3327692532114686, 5.333032947080695, 5.337711845802668, 5.337711845802722, 5.339132055478542, 5.33929747857714, 5.340475253928865, 5.346016183385644, 5.346569309875565, 5.3505270790983825, 5.353756196620212, 5.355725259178487, 5.3557252591785, 5.358865012445725, 5.359958574486954, 5.359958574486958, 5.361524685594838, 5.361559563277207, 5.361613593663151, 5.361613593663152, 5.363122419903363, 5.365629194263801, 5.365629194263854, 5.3676798915127035, 5.3676798915127595, 5.369121933266602, 5.370257479542271, 5.370905421902724, 5.378463337518557, 5.379757935816396, 5.379757935816424, 5.381947403415737, 5.384580471666397, 5.386017441910014, 5.387858248836291, 5.388320073571388, 5.388320073571394, 5.3962708061675055, 5.39627080616753, 5.397142293672375, 5.398829106592512, 5.4000953932797815, 5.400354304365664, 5.412305539235495, 5.421082632822368, 5.421082632822373, 5.423961368460455, 5.430985080647596, 5.431384698621285, 5.431581057260449, 5.4315810572604795, 5.434567795165565, 5.434567795165608, 5.441679432160982, 5.442699632239904, 5.442699632239983, 5.459221668852461, 5.459537823265592, 5.464395828873456, 5.465078455055088, 5.4650784550551075, 5.465101974297551, 5.474800258206866, 5.48054951264723, 5.480952456432322, 5.480952456432408, 5.48451557996798, 5.491848585667249, 5.491848585667291, 5.496687809177671, 5.497751569734837, 5.497751569734857, 5.504891433185269, 5.504891433185333, 5.516930395815564, 5.5173763141392405, 5.519146228904738, 5.519146228904745, 5.534119090121819, 5.534119311723702, 5.536943037589416, 5.538452911260089, 5.540243125396774, 5.541300101458279, 5.5413001014583525, 5.547157631634143, 5.547159092060839, 5.547159092060882, 5.547780698559904, 5.548116011200815, 5.55109190196776, 5.559038312270012, 5.5590383122700535, 5.560773292767847, 5.562739551612644, 5.563433767993811, 5.563433767993853, 5.5642863602913115, 5.575222623238385, 5.585053155714173, 5.5850531557142205, 5.592659239658676, 5.5943083669512585, 5.595319088449137, 5.600275511554421, 5.6002755115544485, 5.602420206001835, 5.602420206001876, 5.614711090300825, 5.614711090300828, 5.615570580819244, 5.616462910562377, 5.618682161162259, 5.624878034609481, 5.624878034609512, 5.628149470631506, 5.62827571161147, 5.631933748673626, 5.6319337486736325, 5.636320154325725, 5.63897183886398, 5.63923426239537, 5.6461460447027125, 5.646146044702734, 5.647438515647394, 5.652260979208321, 5.652409794668448, 5.652409794668475, 5.65252218804397, 5.6539976545781405, 5.653997654578214, 5.654964632023331, 5.655451926890981, 5.6554519268909855, 5.656124711008572, 5.656993877816391, 5.656993877816418, 5.659827585489881, 5.66212347277629, 5.665870572314979, 5.6664393599200205, 5.666439359920049, 5.666800860206418, 5.669137268335965, 5.669137268336005, 5.6710826697854255, 5.671082669785489, 5.671788707947977, 5.672075132142477, 5.6735326259350725, 5.6737913339749, 5.678663167861373, 5.680446649053026, 5.6804466490530485, 5.6820633003579415, 5.682502020786311, 5.6825020207863455, 5.682906653173255, 5.683358534347769, 5.686932764579749, 5.6873788407915615, 5.688313506048446, 5.688313506048459, 5.692756512385608, 5.693473633181651, 5.696103441542665, 5.696446745517889, 5.6964467455179415, 5.696967042822641, 5.697196255238526, 5.698074521603472, 5.698074521603494, 5.699327831798225, 5.699599195297974, 5.700321225698712, 5.700321225698731, 5.70198404902069, 5.705744576432336, 5.70574457643235, 5.707897679863624, 5.707897679863627, 5.709063997190749, 5.710311054441084, 5.711285795253328, 5.711360979631427, 5.714062076771396, 5.7146325504904425, 5.714632550490537, 5.7262637857699525, 5.726263785769955, 5.728325766085354, 5.7283257660854225, 5.73045921572378, 5.730500395789581, 5.740117062587952, 5.741708153102998, 5.745530941374269, 5.748865048175383, 5.762121412116733, 5.7640496088092465, 5.771968804911548, 5.7719688049116025, 5.777305313229686, 5.778676204780235, 5.7791786061008334, 5.779178606100879, 5.783770558708461, 5.784294226820716, 5.787530751318505, 5.788941670283168, 5.788941670283232, 5.7945611241561314, 5.795042072266098, 5.795430241075174, 5.795430241075184, 5.795880337479232, 5.800564022989208, 5.808093431737025, 5.8080934317370785, 5.816078119607438, 5.816078119607454, 5.816438479747438, 5.817598961236606, 5.821431868451683, 5.832356239684661, 5.832356239684665, 5.8344060145323375, 5.838419077065757, 5.843114020641938, 5.843198879827095, 5.84941970025174, 5.849419700251804, 5.850458347518426, 5.854946679836636, 5.854946679836661, 5.860259663731342, 5.8678805271094125, 5.869003689088847, 5.869003689088878, 5.886227151404391, 5.890204057434568, 5.890480894583085, 5.890480894583142, 5.892562512826203, 5.892562512826208, 5.894133701824602, 5.9010492549868845, 5.9010492549868925, 5.903582108577389, 5.906578870136077, 5.908826793150573, 5.908826793150574, 5.913348979455557, 5.914137989135015, 5.917619174952333, 5.917619174952343, 5.918595977750691, 5.9196970492564995, 5.920030521155971, 5.921516908866746, 5.921516908866753, 5.9223058321799344, 5.924792233496221, 5.928441790867362, 5.928441790867383, 5.93156336036075, 5.935510289199823, 5.935510289199877, 5.93566142693591, 5.935690991825887, 5.936414659897449, 5.9392618460774464, 5.940737300172694, 5.940737300172745, 5.941416645067448, 5.943756576320027, 5.946913705937356, 5.947374852852215, 5.948569983726379, 5.948569983726383, 5.952024822148677, 5.959809453070479, 5.960826209576872, 5.963108206025141, 5.963108206025184, 5.993114853246368, 5.993114853246394, 5.9941927532629995, 6.0144140360276355, 6.015397849922615, 6.0153978499226515, 6.017070988232479, 6.023599978481653, 6.025551327248587, 6.026854489048766, 6.0309842066305475, 6.036819024823692, 6.036819024823742, 6.042791461821924, 6.042791461821929, 6.050365141710357, 6.063095584617185, 6.063543500414672, 6.063543500414685, 6.071119095778648, 6.081375068102952, 6.084600911622289, 6.089502266128972, 6.093634583630905, 6.0936345836309505, 6.095592136045305, 6.096885443834074, 6.096885443834075, 6.097184838345835, 6.098039940327305, 6.098039940327326, 6.1008700496165, 6.102269111506395, 6.1044665906184035, 6.104466590618454, 6.110712502655412, 6.111645252605561, 6.111645252605571, 6.114558885857015, 6.116184056015579, 6.118110802437531, 6.11930611046636, 6.119306110466376, 6.120200617940289, 6.1202006179402915, 6.122996316009806, 6.1253899094708135, 6.125389909470877, 6.1281435786900555, 6.130480772688381, 6.135724185540404, 6.135829426799591, 6.135829426799612, 6.142114898476427, 6.143911917365401, 6.1439119173654095, 6.14623493361224, 6.149363336985667, 6.149363336985716, 6.152987349354342, 6.153856156746333, 6.1554300926989205, 6.162374428236605, 6.162929853631637, 6.163840123108136, 6.164110893863817, 6.164110893863856, 6.165477441888955, 6.165477441889008, 6.168643273895002, 6.173338531939684, 6.17997361168975, 6.179973611689767, 6.186578389565611, 6.1888671567510425, 6.19316900253493, 6.194550907443814, 6.194550907443883, 6.195211764936601, 6.195211764936634, 6.2002290672283165, 6.201018644978181, 6.201660560737441, 6.204575363300877, 6.204575363300892, 6.207579155759904, 6.207579155760002, 6.2092907815259935, 6.210362280178672, 6.215360518753904, 6.216562543691908, 6.222582440765933, 6.222582440765958, 6.22496245793318, 6.2263585238771935, 6.226358523877208, 6.230460435662465, 6.232355410829813, 6.233128346697396, 6.234160573024979, 6.234968126322941, 6.234968126322966, 6.237473275531075, 6.237473275531077, 6.23804723075591, 6.241963230795186, 6.242616021890607, 6.2431856352174595, 6.243310202718096, 6.243310202718113, 6.243899783906821, 6.243899783906824, 6.244451929411633, 6.2559055011659215, 6.256413067194131, 6.257550040369418, 6.257550040369453, 6.262498514254942, 6.2627983259808175, 6.262798325980867, 6.267628983462938, 6.274088900817858, 6.274837883874564, 6.274837883874612, 6.280659173372332, 6.281392935839968, 6.281392935839982, 6.2833002131058, 6.283879788172477, 6.285135721300266, 6.289461490080884, 6.289461490080898, 6.291609210611229, 6.293350026377278, 6.29384181173587, 6.293841811735913, 6.295848211722405, 6.297378454446366, 6.302502732812239, 6.308085412752073, 6.308801530758161, 6.310978232393986, 6.310978232394031, 6.311976048620203, 6.312178561978575, 6.312315195047578, 6.312315195047651, 6.314758176197593, 6.31475817619761, 6.316100510436361, 6.317747344373734, 6.320460526320165, 6.320460526320169, 6.321392639888916, 6.322033913079608, 6.32340741584423, 6.323407415844271, 6.3263485219592805, 6.3272188114233385, 6.337520326440148, 6.337520326440205, 6.339932181184092, 6.339932181184106, 6.344679534625343, 6.351886658235381, 6.356911637744015, 6.356911637744148, 6.363289208877115, 6.363341716283596, 6.366149797919413, 6.366149797919555, 6.381534018819346, 6.4075788693993125, 6.418916656280019, 6.418916656280121, 6.448749032994788, 6.4620350951841825, 6.469336800185247, 6.469336800185318, 6.4714281985540385, 6.484928222871363, 6.485671887032918, 6.488440772050819, 6.488440772050918, 6.489959958792001, 6.496590789174784, 6.496590789174902, 6.500570430026895, 6.503919802726073, 6.5066165871155315, 6.511435105311697, 6.514520255941918, 6.5154571225817515, 6.5164052704200275, 6.5164052704200595, 6.518445064076833, 6.519016855212257, 6.519016855212287, 6.520227820134828, 6.520572168122073, 6.525856169064704, 6.525856169064778, 6.52829711250454, 6.531202407355305, 6.533344115531726, 6.533344115531731, 6.533813524211038, 6.53381352421107, 6.534906409444215, 6.538080903857746, 6.538080903857785, 6.543798187804929, 6.5492822375246496, 6.5507614573646205, 6.55158637249738, 6.551586372497483, 6.558830012506177, 6.562585813184318, 6.562585813184336, 6.563333504968002, 6.5644263219007275, 6.564710664334387, 6.564800632607333, 6.569148862028641, 6.569268683653064, 6.569268683653091, 6.570240255536348, 6.570240255536361, 6.576097269904041, 6.584270247421607, 6.5842702474216335, 6.586683960640155, 6.588879195904061, 6.597113487859604, 6.600344184374744, 6.6003441843747686, 6.604856984748356, 6.605412817033293, 6.607328614344261, 6.60732861434427, 6.6084213113593036, 6.614546605256305, 6.61673695584236, 6.617523616474921, 6.617680565822641, 6.617680565822688, 6.620826300530062, 6.6291025403638075, 6.629978724280575, 6.629978724280577, 6.6349945211179655, 6.641833244467997, 6.641833244468022, 6.644544433308074, 6.644707369311683, 6.644707369311776, 6.647812810167202, 6.6632696366780975, 6.663636020928339, 6.663636020928386, 6.664605330565209, 6.6647337110092595, 6.666999873609551, 6.682954146919061, 6.683568769131628, 6.683568769131733, 6.684352251336374, 6.694572687349362, 6.700318589603421, 6.700318589603427, 6.700475995950381, 6.701584234407781, 6.701584234407787, 6.702281901864825, 6.710860002412717, 6.710860002412723, 6.717503674995375, 6.71839069522798, 6.723184963920047, 6.723184963920105, 6.723224117913474, 6.733883623092174, 6.735560148297428, 6.735560148297436, 6.743914510664638, 6.749668679465038, 6.762949841241994, 6.764581960442755, 6.765680296263715, 6.765680296263731, 6.7678695345727595, 6.775215599872055, 6.775215599872114, 6.777194129481683, 6.782718568655856, 6.782718568655856, 6.784831495206553, 6.786206665022742, 6.791708864745178, 6.791708864745211, 6.792509346765591, 6.797840420365888, 6.801157424499829, 6.801157424499896, 6.8012420347293325, 6.802381751665226, 6.803414254829753, 6.803414254829819, 6.80748247786032, 6.811767684711561, 6.81277142719186, 6.812771427191977, 6.814102163462394, 6.814871069149796, 6.814871069149877, 6.815256713985062, 6.8158351560005626, 6.816350939035434, 6.816350939035509, 6.819174094449884, 6.82064194833693, 6.8206419483369665, 6.820959201758111, 6.823118670364961, 6.824115950467694, 6.824888084069672, 6.824888084069802, 6.825382344165836, 6.825382344165891, 6.8259839572254535, 6.825983957225499, 6.826020721639684, 6.8267813405275986, 6.828310938898642, 6.828687343771609, 6.828706580047899, 6.828706580047913, 6.828994540611878, 6.829322319232087, 6.829661651630602, 6.829661651630616, 6.830102657159644, 6.834614479978216, 6.837504378317632, 6.837504378317673, 6.839025507958644, 6.839703056562561, 6.842245778230581, 6.8454907420460485, 6.8454907420460716, 6.847245037701578, 6.848745805418374, 6.848961234126888, 6.849251804274183, 6.849251804274238, 6.85000814000387, 6.850162718182068, 6.850162718182073, 6.850890786558731, 6.851252873339992, 6.851453584135138, 6.852632940740304, 6.852632940740403, 6.853705882074682, 6.8548390378147745, 6.854839037814777, 6.856109497159559, 6.859506374738159, 6.8634561418897, 6.863456141889882, 6.866572193625081, 6.86854072043527, 6.872350102021726, 6.872350102021787, 6.875150778740294, 6.992057371757667, 6.992057371757668, 7.001514956168373, 7.001514956168504, 7.003693857505323, 7.007228487110088, 7.008607705386527, 7.008825964531769, 7.008962187649733, 7.010059630747152, 7.011840395346664, 7.011840395346726, 7.011964835978552, 7.011964835978603, 7.013069179420959, 7.013069179421041, 7.014423307461102, 7.0153356827598214, 7.015867509865191, 7.017087419523858, 7.017775681727285, 7.017775681727304, 7.0181705990455026, 7.019446090330931, 7.01959050427552, 7.019590504275528, 7.0216880797319785, 7.026289383985389, 7.02628938398542, 7.029685157904929, 7.030489142950504, 7.034837589398043, 7.035830516804261, 7.037174730398436, 7.037174730398437, 7.039094022766347, 7.039597370934399, 7.040973431542427, 7.043491025329174, 7.045630200743568, 7.045998597602329, 7.04599859760236, 7.04625685048441, 7.048573560881113, 7.048908331291766, 7.049401682859994, 7.049401682860158, 7.049507169310236, 7.0515303751203735, 7.051530375120495, 7.051982717993359, 7.0519827179934165, 7.052422420716298, 7.053662088269975, 7.053662088270036, 7.058211878969553, 7.061386585944275, 7.061386585944303, 7.063597194193446, 7.07043787867897, 7.071430026149963, 7.071430026150037, 7.072992669089585, 7.073211666726265, 7.07502708431954, 7.075396903695111, 7.0795836678807245, 7.082403419790619, 7.08240341979062, 7.08499556864234, 7.09241389238487, 7.095237881303169, 7.095868598564197, 7.095868598564221, 7.097770080623535, 7.098264458846201, 7.098915281158928, 7.098915281158942, 7.102664488854972, 7.1027364080853275, 7.10309257244373, 7.103092572443793, 7.105108186319396, 7.106267584626284, 7.106267584626293, 7.108433808665765, 7.1157424692020435, 7.1157424692020745, 7.1179960988785025, 7.118691198237673, 7.12001300796869, 7.120151264018755, 7.120151264018798, 7.122891898131952, 7.127243590294528, 7.128494274346757, 7.128759306481632, 7.128759306481677, 7.130798175391059, 7.133092958880896, 7.1330929588809, 7.1340279962694355, 7.134027996269472, 7.138797957162172, 7.139526324180815, 7.139526324180904, 7.1398728639131015, 7.145295605804879, 7.148006644113476, 7.148577777974935, 7.148577777974974, 7.149254037261165, 7.1504928943330155, 7.150915927873762, 7.150915927873766, 7.1514605492606425, 7.1531523506833405, 7.155356798380462, 7.155356798380468, 7.1556719168813565, 7.156288199708346, 7.157952796405658, 7.15856116347971, 7.1619429782999715, 7.161942978299973, 7.1676976092515, 7.167697609251567, 7.169332907920355, 7.1722188279917045, 7.172283401221738, 7.172283401221751, 7.176094353396916, 7.178256270126336, 7.1798075661327445, 7.1821841809115385, 7.1821841809115625, 7.183148660805161, 7.183148660805195, 7.187198720413751, 7.188339491414164, 7.189085191878591, 7.189462930762664, 7.18980778451469, 7.192493146865654, 7.192493146865705, 7.193325991184138, 7.19357347533882, 7.194382102381904, 7.194382102381904, 7.196272164462912, 7.196381198604597, 7.196381198604758, 7.196988293427476, 7.199690970126946, 7.199936473830333, 7.200511297871654, 7.200511297871711, 7.201071254353338, 7.201914747703191, 7.2028937903897425, 7.203117824684511, 7.203117824684513, 7.203664451397462, 7.203664451397465, 7.204096738424946, 7.2042446692236775, 7.206801566364109, 7.206801566364202, 7.207254473643705, 7.207254473643718, 7.20785054581794, 7.208174364805252, 7.209645594697375, 7.2097485526327185, 7.209748552632774, 7.212422245622007, 7.212422245622169, 7.212742427169886, 7.212953341285738, 7.21355436477861, 7.214596654613688, 7.214596654613713, 7.21485447376248, 7.215206471710374, 7.2164451770036, 7.216618360132473, 7.2166183601325535, 7.218659535604013, 7.21984737847295, 7.219847378472999, 7.220424432574456, 7.221869480088081, 7.2218694800882055, 7.222286877302548, 7.224010469388877, 7.224851243987582, 7.225871059456544, 7.225972567301628, 7.2261369641718565, 7.226136964171965, 7.22698989449511, 7.2269898944951665, 7.227342105948949, 7.228339775018978, 7.2303179246613976, 7.2308915110651, 7.232454974873747, 7.232454974873776, 7.2329954727768975, 7.233200676605488, 7.233200676605511, 7.234765077322492, 7.235136330363165, 7.235136330363339, 7.23553184254114, 7.235921167147692, 7.236213915864875, 7.236213915864997, 7.2379142471959845, 7.238074594161537, 7.23915831905334, 7.239158319053367, 7.240504766994572, 7.241557218574929, 7.24214718350947, 7.242508732800181, 7.24250873280026, 7.242622109819503, 7.242976750910325, 7.243914888464925, 7.24391488846495, 7.244267476777046, 7.2442808543856225, 7.244840169879161, 7.244840169879223, 7.246436649315646, 7.246461210698578, 7.247045806477665, 7.247045806477706, 7.247354444025878, 7.248054027951796, 7.248054027951801, 7.24988054158278, 7.250032252877441, 7.250297664538435, 7.250297664538457, 7.25110430807124, 7.252186767296491, 7.252265564589581, 7.2522655645895915, 7.253085811156103, 7.253117703122586, 7.2532441924117155, 7.254633469769144, 7.254831196244628, 7.254831196244705, 7.255041595965228, 7.255168710115405, 7.255168710115452, 7.255323428154181, 7.255427758678694, 7.255887341587299, 7.2558873415874166, 7.256059947329361, 7.256253181737638, 7.256315809388306, 7.256737705325817, 7.256982746910168, 7.257155289117152, 7.257155289117166, 7.257643375028206, 7.257643375028264, 7.25831671534123, 7.25847588898238, 7.259086009323312, 7.259132710791485, 7.259132710791494, 7.26088818996425, 7.261127220878329, 7.261127220878377, 7.261600503734762, 7.261600503734871, 7.2620427745084, 7.2631422241168115, 7.263319208994437, 7.263319208994487, 7.26468408738182, 7.26508080649135, 7.265774867956221, 7.266146642921858, 7.266146642921936, 7.26633474700585, 7.266683835642315, 7.268502459034824, 7.2685380124179435, 7.26853801241798, 7.269163343727698, 7.269327661493933, 7.269327661493938, 7.27029545209373, 7.270606100709742, 7.270606100709867, 7.2711148218308805, 7.27242468948065, 7.272424689480674, 7.274007913973169, 7.274865485854423, 7.275919481032232, 7.2759194810322745, 7.27612000776977, 7.277878607885472, 7.27849719917142, 7.2784971991714995, 7.279383893516503, 7.279458085240316, 7.2799806354351, 7.281925408729274, 7.281925408729281, 7.28236095933591, 7.284020082063264, 7.2848635821797325, 7.2852717728383345, 7.285271772838356, 7.286690193268779, 7.287699640580665, 7.2876996405807475, 7.288844854228314, 7.2911057286104874, 7.2914205234546134, 7.291735231342142, 7.291735231342147, 7.293141494726369, 7.293188762467444, 7.296366183709032, 7.297052421046332, 7.297052421046371, 7.299212156872928, 7.299958797872438, 7.29995879787244, 7.30126342821417, 7.301263428214187, 7.301491443312269, 7.304874076133225, 7.307458736835814, 7.3074587368358515, 7.309505226759754, 7.309860602704866, 7.309916197848948, 7.309916197848969, 7.311280747220583, 7.311882582334141, 7.311882582334183, 7.311965393367149, 7.312143516027745, 7.313154037188366, 7.316077923727289, 7.3160779237273115, 7.318332308791463, 7.318785596665009, 7.3197131336221055, 7.31971313362214, 7.32034004611602, 7.323823465966919, 7.324541631302182, 7.3251150733344454, 7.325115073334476, 7.32615476162887, 7.326154761628908, 7.326626233223102, 7.3274853397611, 7.328921576164844, 7.329022798749563, 7.329740941781525, 7.32974094178156, 7.329762442150877, 7.33650755678097, 7.336711875549976, 7.336711875550027, 7.337485796511522, 7.338423269875363, 7.343050877730076, 7.345264158043718, 7.346267581789383, 7.346346482856138, 7.347847253417255, 7.347847253417266, 7.35040163167383, 7.35096751848247, 7.350967518482527, 7.352068316663778, 7.352068316663868, 7.353083770261933, 7.353680439880927, 7.353680439880947, 7.354289439682877, 7.354394832322413, 7.354394832322431, 7.3559905179567915, 7.358219340208164, 7.358935918152607, 7.36042819018027, 7.36042819018043, 7.362167690693597, 7.363763059662509, 7.366735988473398, 7.366735988473508, 7.369742076492217, 7.3701913030362824, 7.370809604618463, 7.37080960461851, 7.370957699542228, 7.371931755629194, 7.380588355357692, 7.380588355357748, 7.381183867829995, 7.381363404894969, 7.382266333212416, 7.382266333212584, 7.383433972955044, 7.383433972955098, 7.384256550965446, 7.384629998416861, 7.386489596689273, 7.3865485238368915, 7.3897199633729445, 7.390207461487678, 7.391010541368477, 7.391010541368494, 7.394951928332908, 7.394951928333016, 7.396946767503961, 7.3971671485157815, 7.402675038998436, 7.402675038998461, 7.404325672892333, 7.40451783620616, 7.410204150789365, 7.410204150789512, 7.4125178954974285, 7.412535899643875]