[0.19965321,0.18089277,0.14303805,0.10190729,0.07143318,0.060497645,0.07445731,0.11309707,0.16676058,0.21619801,0.24278033,0.23902129,0.21382307,0.18405683,0.16383004,0.15612721,0.1544046,0.15033711,0.13917623,0.12361304,0.1094665,0.104341514,0.11051222,0.12422671,0.13551837,0.13677755,0.12763694,0.11517543,0.106385075,0.102864854,0.101705946,0.1003752,0.101555906,0.110981144,0.1335312,0.16565116,0.19588329,0.2103229,0.202805,0.1782463,0.14698115,0.11814198,0.09548411,0.07969395,0.06852447,0.058293942,0.045943577,0.03241602,0.023715228,0.027185112,0.045541596,0.073306434,0.09819418,0.10973379,0.10565453,0.09484439,0.09066605,0.103052236,0.1309951,0.16270278,0.18263535,0.18124557,0.15926217,0.12480097,0.08715812,0.054384872,0.0321865,0.025242468,0.0351916,0.061186235,0.09752846,0.13625772,0.16767299,0.18574245,0.18895124,0.18182105,0.17099993,0.16190794,0.15601246,0.15185386,0.14799327,0.14481325,0.14431493,0.14894204,0.15877973,0.16979867,0.17297424,0.1602776,0.13042599,0.09249387,0.060748834,0.047745917,0.057546448,0.08332727,0.11172464,0.13100822,0.13943172,0.14186762,0.14290644,0.14138421,0.13480891,0.124525905,0.11511836,0.11116621,0.112828754,0.11802248,0.12275436,0.12472576,0.12244473,0.11565933,0.10347592,0.08622321,0.06772684,0.05577718,0.056753457,0.069145806,0.08308437,0.088685445,0.084988385,0.081074834,0.086274855,0.10230455,0.12086012,0.13283515,0.13233124,0.12170616,0.10635509,0.09448313,0.08924983,0.08931442,0.08834505,0.084810376,0.08281758,0.08990669,0.106818415,0.1273088,0.14364928,0.15363868,0.15981607,0.16346152,0.16331954,0.15847327,0.15146069,0.14627053,0.14280786,0.13747741,0.12655327,0.114144556,0.10964882,0.120397426,0.14182739,0.16011105,0.16415846,0.15494357,0.14265709,0.13521843,0.13228019,0.12973599,0.12578307,0.122930646,0.12185651,0.11974999,0.11102312,0.093472235,0.069907345,0.047636848,0.034819085,0.03725421,0.055960853,0.08581085,0.117473125,0.14097059,0.15032253,0.14557882,0.13181747,0.11579374,0.10114798,0.08767269,0.0726548,0.055598218,0.038317326,0.023933388,0.013853486,0.008371861,0.007278537,0.011389505,0.021328473,0.03802544,0.060984444,0.08878728,0.11670709,0.13840698,0.1489497,0.14858605,0.14284247,0.13582097,0.12819248,0.11759894,0.107464455,0.10509834,0.11663467,0.1377789,0.1573496,0.16668354,0.16588406,0.16178204,0.15730403,0.15177916,0.14337404,0.13870722,0.14549762,0.16511388,0.18587072,0.1940624,0.18477921,0.16506113,0.14443602,0.12885803,0.11942019,0.11834093,0.12477938,0.13558084,0.1403623,0.13366942,0.1149231,0.093692385,0.07655991,0.0667182,0.060308073,0.05585802,0.054852266,0.060833424,0.073130965,0.085467644,0.09109175,0.08770689,0.07974025,0.0730477,0.07094284,0.072558075,0.075680114,0.079015486,0.08187911,0.08348314,0.08424154,0.08713623,0.096314214,0.1103256,0.12173265,0.12175724,0.11174054,0.10302035,0.10798424,0.12822492,0.15203893,0.165756,0.16098903,0.14131372,0.11551511,0.09748161,0.097872704,0.12053782,0.15598226,0.18694125,0.19866985,0.1882298,0.16335674,0.13509098,0.11133474,0.09605262,0.08961161,0.090607814,0.09674418,0.10608643,0.11648252,0.123252064,0.12249894,0.112998046,0.10034094,0.08974752,0.08354515,0.07744126,0.06889278,0.059948962,0.059288174,0.07153818,0.09341487,0.11181436,0.11774886,0.11130735,0.10421035,0.10643684,0.12030441,0.13878353,0.15294205,0.1572627,0.14997345,0.13308446,0.11115065,0.09210104,0.08208706,0.08168009,0.08394366,0.08204497,0.074863955,0.0688402,0.06991879,0.07912468,0.09049201,0.09732401,0.09540278,0.08762708,0.08059218,0.0814822,0.09026689,0.100946866,0.104701586,0.09877,0.08631248,0.07393115,0.064747386,0.059315518,0.057657078,0.062404245,0.07469187,0.09130556,0.10459962,0.1096906,0.10749665,0.10348728,0.10054957,0.097975634,0.0928681,0.08531342,0.07785792,0.07480976,0.07683566,0.08148268,0.08378125,0.0846544,0.08822716,0.09920744,0.11275634,0.12077961,0.11738151,0.10729874,0.10100301,0.10647452,0.12352433,0.14194395,0.1518519,0.14739938,0.13352436,0.11673888,0.1028038,0.09089673,0.079295754,0.06734155,0.057646662,0.052708875,0.05227585,0.053487714,0.05323671,0.050793942,0.04768071,0.04880504,0.0631849,0.10215339,0.16939984,0.2532874,0.33059084,0.3827181,0.40525892,0.40349257,0.38152182,0.34236696,0.2929812,0.24737404,0.21724524,0.2064874,0.2093668,0.21806484,0.22698273,0.23218541,0.23066056,0.21996772,0.20530896,0.19472718,0.19573493,0.20639235,0.22372808,0.24802072,0.2831253,0.32642218,0.36227655,0.37226442,0.34520936,0.2885923,0.21918191,0.15633781,0.11027456,0.08321732,0.07144033,0.071961135,0.08500201,0.11245888,0.15336187,0.1999832,0.23981602,0.2602863,0.2553891,0.22695793,0.185365,0.14546452,0.123194605,0.1267456,0.15151843,0.1828804,0.20709567,0.22268689,0.23404245,0.24443726,0.2462553,0.23396026,0.2057519,0.17108728,0.13881142,0.12012416,0.116881944,0.12662138,0.13794236,0.14721131,0.15382256,0.16314764,0.17364168,0.18817383,0.21128237,0.25027713,0.29893446,0.34097466,0.35786343,0.3445356,0.31036237,0.27165642,0.243447,0.23157412,0.23646505,0.24895911,0.25973663,0.2567837,0.2397206,0.21459222,0.19651775,0.19262588,0.20150764,0.21347892,0.2235576,0.23851134,0.26574573,0.30691338,0.34388554,0.36213621,0.3517737,0.32392022,0.28778318,0.25275102,0.21809356,0.18564983,0.15793069,0.13907756,0.12928396,0.12381036,0.120182954,0.12142555,0.14012836,0.1803316,0.23653716,0.2864922,0.31814432,0.327461,0.3261303,0.3219589,0.32214603,0.32998565,0.34564647,0.3628608,0.3688234,0.35403478,0.31916332,0.27589336,0.2397543,0.22012626,0.21598363,0.21828628,0.21920353,0.22179306,0.23878868,0.2822846,0.3486766,0.41462055,0.44816506,0.42859468,0.36198354,0.2779141,0.21300326,0.18860067,0.20416062,0.2387863,0.26967832,0.2787498,0.26482916,0.23343666,0.19657306,0.16242492,0.1421958,0.14887077,0.19164841,0.2650715,0.34415486,0.40202627,0.42390057,0.41803777,0.39990434,0.38269103,0.3652114,0.3427708,0.31205142,0.2837545,0.27373183,0.29203895,0.32690048,0.3481593,0.3312761,0.27734575,0.21602727,0.1765434,0.16737823,0.17324078,0.17713161,0.17473622,0.17321263,0.17712264,0.18200843,0.17881845,0.16388531,0.14116025,0.1181336,0.100132115,0.089069925,0.084782146,0.086002804,0.09148524,0.09973416,0.109505326,0.11729974,0.11906653,0.11139659,0.09770674,0.086608075,0.09233361,0.12250829,0.17767484,0.23952548,0.28911725,0.3080363,0.30339232,0.28838208,0.28039995,0.2751923,0.26181033,0.2311042,0.1956559,0.18217425,0.20982425,0.26930982,0.32484224,0.34428725,0.32176495,0.2753791,0.2253576,0.18279953,0.15717614,0.1616388,0.20177996,0.26320836,0.31289825,0.32803753,0.3067743,0.27062225,0.23672765,0.21613346,0.20918645,0.21591507,0.23142064,0.24618034,0.25190604,0.24420829,0.22864147,0.21335952,0.20798181,0.21427538,0.22570084,0.2332977,0.23324239,0.2314087,0.2321951,0.23531556,0.23160267,0.21528362,0.18739824,0.16170068,0.15408675,0.17353515,0.21201377,0.2521331,0.27781847,0.28575847,0.279663,0.263733,0.23679198,0.20134257,0.17029361,0.16414817,0.19529478,0.25443313,0.314775,0.34834746,0.3444978,0.31289265,0.27437738,0.24602401,0.23435108,0.23905556,0.25568154,0.27754626,0.29278812,0.2936239,0.27997002,0.25949958,0.23787917,0.21440132,0.18833263,0.16320091,0.14945614,0.15386806,0.17454182,0.19879378,0.21159615,0.20502222,0.18123138,0.15034384,0.12083351,0.0967066,0.075974375,0.057704497,0.044021536,0.041531652,0.054635484,0.081905626,0.11499786,0.14385886,0.16320091,0.17152853,0.17250478,0.16865015,0.16434522,0.15903103,0.1503007,0.1347387,0.11348338,0.09205509,0.0749687,0.06346063,0.055339187,0.049395744,0.047339175,0.05176181,0.063374676,0.07792795,0.08957719,0.09409892,0.09185201,0.08648542,0.08140577,0.07835587,0.07689419,0.07864394,0.08625654,0.10200181,0.12207266,0.13930173,0.1458563,0.1395507,0.12415,0.110297054,0.10932053,0.12447852,0.14561735,0.15502624,0.14476733,0.122792624,0.10888799,0.11404097,0.135522,0.158114,0.17114557,0.17301328,0.17100598,0.17286193,0.17908238,0.18478148,0.18176131,0.17328115,0.17053926,0.19079863,0.23981674,0.31045124,0.38292003,0.4328148,0.44448897,0.41537127,0.36443463,0.3132036,0.28240827,0.27246544,0.27473402,0.2725306,0.26174346,0.24795382,0.23993637,0.23599784,0.2266906,0.20799358,0.18379666,0.16333346,0.15107384,0.15091346,0.16328667,0.18498407,0.2083688,0.2280335,0.245344,0.26083985,0.26828554,0.25589743,0.21907876,0.16617905,0.11293023,0.072665535,0.050722707,0.046358373,0.053650845,0.06486013,0.07493717,0.08782766,0.11262103,0.15103053,0.19013374,0.21092798,0.20984566,0.2003824,0.20210008,0.21654485,0.23313738,0.235748,0.22140868,0.19296183,0.16043861,0.12912412,0.10358276,0.08417074,0.07478713,0.07938838,0.09774247,0.11910758,0.12790485,0.116916664,0.093272686,0.0719958,0.06184845,0.061764386,0.067092,0.07942257,0.10395211,0.1420341,0.1819217,0.20708245,0.20480363,0.17932235,0.14444874,0.1167472,0.10202385,0.09765258,0.09717078,0.09882751,0.105276555,0.11798835,0.13303256,0.14306818,0.14424403,0.13886553,0.13252603,0.12909506,0.13047601,0.13659267,0.14773874,0.15981668,0.16905002,0.17087412,0.16785903,0.1628456,0.15798251,0.14962308,0.13508907,0.117018975,0.10382459,0.10214797,0.11164051,0.12593849,0.14098723,0.15765433,0.17918663,0.2040012,0.22505142,0.23462975,0.22934473,0.21173038,0.18935944,0.1714422,0.16419108,0.16443872,0.16330372,0.15422137,0.14063789,0.13190983,0.13492785,0.1488471,0.16704726,0.18059051,0.1829664,0.17145407,0.1501606,0.12573469,0.10483218,0.08977407,0.082745545,0.08847577,0.113974124,0.15976499,0.21475148,0.25972995,0.28223976,0.28444743,0.27992156,0.277052,0.27185738,0.25338963,0.21868366,0.17786582,0.14444754,0.12524642,0.117468685,0.119279385,0.13135122,0.15529652,0.18631445,0.2177081,0.24448426,0.26438332,0.2729188,0.2659498,0.24451196,0.21849619,0.19673693,0.18229546,0.16968794,0.15446511,0.13422732,0.111774795,0.09124303,0.07932719,0.0784171,0.087355584,0.100900434,0.122143485,0.1578541,0.21304958,0.27544063,0.32378802,0.3423431,0.3320397,0.30926737,0.28728008,0.27782634,0.27977076,0.29363576,0.30807593,0.3146664,0.30255672,0.27546883,0.2437916,0.22082299,0.20797497,0.1965509,0.17721768,0.15016586,0.12467816,0.10860678,0.10303658,0.10233662,0.100998424,0.09769564,0.094998814,0.097516626,0.10635891,0.12197748,0.14254282,0.16789907,0.19207388,0.20643425,0.20109074,0.17658418,0.14379281,0.119597666,0.11583855,0.13148266,0.15441303,0.16623503,0.15624678,0.124476396,0.0839946,0.05070902,0.039818797,0.061969917,0.11911412,0.20092928,0.28193238,0.33742988,0.3517727,0.32822803,0.27813664,0.22104633,0.1771608,0.16194357,0.1743895,0.19840775,0.21784495,0.22748691,0.23190884,0.23229158,0.22541344,0.20760898,0.18223876,0.15481967,0.12936142,0.10687546,0.08948343,0.08313342,0.09328563,0.121174715,0.15877585,0.19305943,0.21225937,0.21309006,0.2035994,0.19252379,0.18582416,0.18119693,0.18354996,0.19866377,0.22950582,0.25951573,0.2674966,0.24227394,0.19514577,0.14623573,0.10916477,0.08699369,0.077072985,0.079191424,0.08997935,0.10413287,0.1116069,0.10839278,0.09542149,0.081498265,0.07551531,0.084543854,0.10729871,0.13399212,0.1514322,0.15327589,0.14624958,0.1435049,0.1541752,0.17563605,0.1978416,0.20933299,0.20396467,0.18225412,0.1508011,0.11890148,0.093595944,0.079604134,0.078330435,0.09100586,0.113493584,0.13824196,0.15487693,0.16006406,0.15751487,0.15441047,0.15250252,0.14762244,0.13593732,0.11968389,0.105584,0.09761482,0.09288327,0.086493045,0.07765413,0.07362441,0.08133111,0.1020239,0.12619866,0.14459415,0.15264453,0.1554407,0.15620714,0.15480958,0.14628592,0.13061735,0.11146327,0.0948103,0.08290261,0.075591795,0.07123981,0.0687227,0.066965975,0.06491411,0.061410706,0.05611692,0.05069183,0.049645662,0.057691593,0.07589873,0.09839011,0.11593685,0.12044517,0.111689694,0.09579604,0.084393,0.084965974,0.09812152,0.1136589,0.12118562,0.11603948,0.10565738,0.09980849,0.10412135,0.114522934,0.12490552,0.13175352,0.13589823,0.13836832,0.13801931,0.13324055,0.12407213,0.11559861,0.11669457,0.13372557,0.16322331,0.19009988,0.20107211,0.19385482,0.18138957,0.17562078,0.1794865,0.18214172,0.17300779,0.14952146,0.12150272,0.10256794,0.10036256,0.11231602,0.12783016,0.13995636,0.14815821,0.15912075,0.1743815,0.18941374,0.19234902,0.17812316,0.15402524,0.14298882,0.16497892,0.2199322,0.28188264,0.31805053,0.31368613,0.27672672,0.2298127,0.18925428,0.16572425,0.15739082,0.16053891,0.16457336,0.16440539,0.15611051,0.14297314,0.12716947,0.11508069,0.11042894,0.11603459,0.12617402,0.13416013,0.13429151,0.12833759,0.119843,0.11321434,0.1112647,0.117753714,0.13350536,0.15418988,0.16877027,0.16869222,0.15239163,0.12812772,0.104098745,0.08593825,0.07376938,0.067463405,0.06582757,0.06701911,0.06854787,0.0695304,0.07241889,0.0793334,0.089584254,0.097833455,0.09967219,0.09390956,0.0842751,0.07423893,0.06529674,0.056008864,0.046971068,0.043415647,0.054027673,0.083423704,0.12526108,0.16372187,0.18219154,0.17441599,0.14565574,0.10920841,0.07797406,0.062375873,0.06648987,0.08692134,0.11205009,0.12874217,0.13148476,0.1256253,0.12085194,0.121296816,0.123440154,0.12353564,0.12197796,0.12210079,0.12231342,0.11906204,0.11052444,0.10216639,0.10090742,0.111139834,0.12986569,0.14875217,0.15687944,0.14930834,0.12971386,0.10813967,0.09145767,0.081102945,0.0760769,0.07686103,0.08393455,0.0950796,0.106372446,0.11456854,0.11852772,0.118110575,0.11515325,0.111445874,0.109324604,0.10824129,0.10899725,0.11234786,0.120770216,0.13255465,0.14276524,0.14488918,0.13701344,0.12356269,0.11097608,0.10320414,0.097498156,0.091094255,0.08437268,0.08501762,0.098584585,0.12223446,0.14234369,0.14496408,0.12667823,0.095589615,0.0651175,0.04495987,0.041302305,0.05465621,0.0809424,0.10838863,0.12521501,0.12479874,0.11271072,0.100000404,0.096902184,0.10345637,0.11231837,0.11324497,0.10215206,0.081607416,0.061299134,0.052663874,0.06659601,0.10345084,0.15154399,0.18906535,0.2015096,0.18848185,0.1631852,0.13802947,0.11872205,0.10412761,0.092881314,0.085222125,0.08395743,0.089743555,0.10167856,0.11447721,0.1255381,0.13209982,0.1354662,0.13418065,0.13061099,0.12669191,0.12736584,0.13224828,0.13876055,0.14136766,0.13815247,0.12985899,0.12050584,0.1131919,0.11026463,0.1129832,0.12283971,0.13833158,0.15305823,0.1586795,0.1514944,0.13577728,0.1190545,0.106892504,0.10038125,0.09826594,0.097317755,0.09449312,0.08872735,0.08480898,0.09072284,0.11059892,0.13884623,0.16137803,0.16819417,0.15858082,0.1420581,0.12617543,0.1141307,0.10472029,0.09833091,0.095912464,0.09597006,0.093761206,0.08537569,0.07251273,0.06135704,0.05706049,0.059414465,0.06414237,0.06658206,0.06414555,0.056586023,0.046741944,0.040316172,0.043806773,0.059720457,0.08606199,0.116203554,0.14492524,0.16617537,0.1785547,0.18042742,0.17546313,0.1651357,0.15121077,0.13147761,0.10542002,0.07640023,0.053245794,0.046548154,0.059966385,0.08673483,0.110695876,0.11845381,0.10606065,0.08118406,0.054044962,0.03250461,0.020642193,0.022110974,0.040484842,0.073514424,0.11238978,0.14213364,0.15542106,0.15317367,0.14726873,0.1453593,0.15040827,0.15644366,0.15915905,0.15638338,0.15070398,0.14382987,0.13623135,0.12657183,0.1149965,0.103064515,0.09386969,0.088461734,0.08637193,0.08501541,0.083344184,0.08033628,0.07601295,0.07048321,0.06660781,0.067706354,0.07424196,0.08167335,0.08432275,0.0817439,0.078376606,0.07961307,0.08475503,0.08915192,0.087551475,0.0802057,0.07139384,0.06607547,0.06544758,0.06677266,0.0664343,0.062381998,0.055678304,0.04945609,0.048138767,0.0544761,0.066729136,0.07849082,0.082789145,0.078627676,0.071304195,0.068484984,0.072158985,0.07882211,0.0818745,0.078470655,0.069448195,0.058739778,0.049413558,0.043496814,0.041373637,0.043421745,0.04858495,0.055459782,0.0611676,0.06469217,0.06569622,0.065828,0.0655882,0.06514395,0.06311124,0.05863894,0.05119996,0.041860584,0.03225095,0.02502379,0.022358097,0.024949512,0.031252533,0.038996413,0.04758307,0.05732839,0.06808242,0.07756973,0.083542846,0.085229665,0.08481421,0.08654418,0.09333072,0.103177756,0.10833669,0.102304004,0.085122585,0.06400272,0.045818698,0.0329961,0.023953548,0.017780295,0.016235882,0.02358003,0.04244094,0.07103696,0.10056096,0.12093669,0.12595414,0.11885091,0.10757414,0.10003135,0.09936652,0.104302324,0.110579304,0.11251953,0.10727752,0.09616393,0.084382765,0.07557697,0.07082572,0.068471275,0.06724463,0.065950476,0.065730184,0.06967577,0.08130035,0.0998816,0.1184111,0.12845476,0.12528364,0.11226514,0.09630089,0.083694965,0.075958826,0.071241975,0.067472726,0.063053645,0.057789,0.051162392,0.045859624,0.0455959,0.054406404,0.07081196,0.089093946,0.101704694,0.104069315,0.09683284,0.08370183,0.06998109,0.05851395,0.05147687,0.050335664,0.057666827,0.0737217,0.09411257,0.11091813,0.117826484,0.114756785,0.10583988,0.096119344,0.08820135,0.08376503,0.082796514,0.08399511,0.08394289,0.079623386,0.07008622,0.056984693,0.043638792,0.032968014,0.027858572,0.030763851,0.04430216,0.068039484,0.09656405,0.12044171,0.131325,0.12778771,0.11429098,0.098785974,0.085871674,0.077409424,0.07100257,0.065320514,0.05987772,0.057890702,0.062306374,0.07514662,0.09281061,0.10847487,0.113684595,0.10685583,0.09369952,0.08486722,0.086271465,0.0959797,0.10757303,0.11611705,0.12219826,0.12767287,0.1339916,0.13782592,0.13592453,0.12681231,0.11524993,0.107191,0.10466639,0.103697896,0.098724134,0.089702405,0.08303774,0.08755463,0.1085434,0.14153488,0.17575973,0.19830443,0.20379122,0.19388942,0.17412941,0.15092254,0.12774758,0.108789235,0.09544233,0.09219703,0.099036045,0.11281351,0.12412226,0.12971179,0.13279803,0.13918616,0.14542116,0.14221929,0.123854965,0.096390754,0.072582,0.06387737,0.072836496,0.094695024,0.11957246,0.13968062,0.15009722,0.15036683,0.1412032,0.12631808,0.11071971,0.10046303,0.09701243,0.098097324,0.09774033,0.09343795,0.08512158,0.07641495,0.068348,0.061284337,0.05463982,0.051707327,0.057160884,0.07412387,0.098230064,0.11937257,0.12756255,0.12100079,0.10639442,0.092412025,0.08335796,0.07731392,0.07146299,0.064066865,0.056188446,0.048526738,0.041585583,0.03486589,0.028852256,0.026116021,0.031958953,0.050254393,0.07895818,0.10759357,0.12441639,0.123678476,0.11024297,0.09316792,0.078578286,0.066712804,0.05588993,0.048042756,0.04707865,0.05502945,0.0675567,0.07843887,0.08397379,0.08641386,0.08904866,0.09296644,0.09524923,0.09435613,0.09165954,0.090955526,0.09274126,0.09356153,0.089280345,0.079548,0.06820641,0.05849938,0.051549185,0.0469979,0.047452267,0.055984635,0.07204028,0.088085026,0.09536164,0.09182924,0.08327658,0.07704983,0.07381618,0.06946457,0.059820175,0.04671221,0.036068816,0.035458595,0.04888003,0.073754966,0.10044945,0.11746136,0.11896803,0.10785923,0.09179618,0.07733143,0.066569775,0.059433937,0.054620925,0.051498305,0.04882429,0.04614264,0.043141976,0.040286664,0.03756443,0.034706865,0.031062782,0.026599063,0.022280341,0.020514987,0.02447111,0.035708446,0.05198503,0.06673805,0.07365572,0.07074062,0.06198114,0.05338219,0.049850855,0.054698866,0.071089424,0.1006493,0.14001346,0.1776623,0.19976203,0.19808228,0.18038392,0.16279654,0.15898007,0.16506463,0.16815858,0.15815032,0.1394436,0.12247124,0.11346406,0.11109222,0.11270543,0.12002114,0.13467602,0.15333466,0.16777314,0.1711521,0.16366021,0.14813517,0.12869345,0.10645164,0.08597068,0.07246995,0.07291788,0.08908701,0.11735878,0.14686505,0.16556297,0.16593854,0.15100177,0.12930658,0.10910972,0.09193591,0.07914282,0.0738031,0.08346838,0.10862261,0.14289267,0.17120385,0.18456276,0.18003283,0.16535409,0.14807056,0.13471302,0.1257705,0.118641764,0.110683076,0.10015968,0.088109024,0.07455158,0.062313456,0.055042822,0.056074124,0.06272621,0.06819099,0.071169384,0.0820798,0.11694535,0.1793114,0.2512529,0.30527663,0.3276885,0.32833764,0.32561234,0.32576466,0.32004368,0.30338916,0.28501174,0.28413057,0.3050778,0.33534813,0.34903845,0.3341253,0.29429016,0.24976076,0.21763603,0.20537138,0.20811182,0.21604683,0.22336604,0.2307774,0.24302278,0.25950775,0.27356672,0.27760288,0.2725138,0.26435563,0.25918603,0.25546595,0.25152335,0.24401323,0.23234843,0.21015787,0.17609161,0.13385154,0.09850935,0.08227503,0.08700052,0.10282239,0.117861755,0.13454169,0.16374741,0.2198321,0.29598776,0.3719428,0.41604722,0.41462967,0.373359,0.31909266,0.2757731,0.25338235,0.244215,0.23427802,0.21608688,0.19229962,0.17541295,0.17601125,0.19700395,0.2252837,0.24508865,0.24788845,0.24753277,0.26343998,0.3053124,0.3566072,0.39091524,0.39117885,0.36216006,0.3208203,0.2816246,0.25205845,0.23576052,0.23539956,0.24788523,0.26294374,0.2682107,0.25665095,0.23002775,0.19846468,0.18131287,0.20079313,0.26581573,0.35911343,0.43862167,0.46927083,0.4394783,0.37473813,0.3082254,0.27392253,0.2829672,0.3310009,0.39129856,0.43371022,0.44060037,0.4169148,0.38171065,0.3489122,0.32651854,0.31849024,0.3248186,0.33255747,0.31826684,0.27009195,0.20163946,0.14730437,0.1362844,0.1729936,0.23624897,0.28916228,0.3032461,0.26949808,0.2077456,0.15003274,0.12504464,0.14320834,0.19452746,0.259757,0.31576058,0.3506447,0.3595418,0.34880903,0.3249242,0.29421303,0.2610611,0.22666699,0.19312751,0.1605406,0.13720529,0.1323377,0.15403599,0.19676226,0.24659121,0.29046452,0.32144034,0.33787253,0.33546987,0.31642708,0.29156002,0.278885,0.2856208,0.30097142,0.30538926,0.2863097,0.24699026,0.20006998,0.15811221,0.12723218,0.10615944,0.09303433,0.089471035,0.102766715,0.13658847,0.18512045,0.23133731,0.26100364,0.27066603,0.27128783,0.26960957,0.2640581,0.24286957,0.20904122,0.18040109,0.18746217,0.23876835,0.31916964,0.38978723,0.42640558,0.42101657,0.3878269,0.34029293,0.29393145,0.2594309,0.24226433,0.2392909,0.24304564,0.25034165,0.26112053,0.27375016,0.2814214,0.2762256,0.2558526,0.22446327,0.19193506,0.16742323,0.1559572,0.15331487,0.15076488,0.14129406,0.12664299,0.115784,0.118999936,0.1430069,0.18444236,0.2332624,0.272792,0.2934836,0.28848618,0.2607618,0.21415813,0.16303559,0.12051012,0.095650315,0.08387158,0.07887832,0.0819188,0.10273105,0.14692844,0.20334439,0.24925719,0.2637227,0.24244851,0.19708675,0.1465873,0.10746083,0.08613906,0.080967106,0.084548466,0.095973104,0.11915778,0.1593103,0.20833993,0.24930839,0.264704,0.25082287,0.2165655,0.17691238,0.14490406,0.12543721,0.117482,0.11383044,0.11088798,0.106012315,0.10338301,0.107293,0.12893428,0.17377646,0.24151377,0.31514966,0.3773221,0.41275808,0.41963172,0.40193304,0.3703712,0.3359026,0.3051536,0.2789121,0.25258854,0.22567485,0.20399965,0.20348777,0.238519,0.30923286,0.39271355,0.4537711,0.46748665,0.43299103,0.36944452,0.2994546,0.23611484,0.18368854,0.1435829,0.124841265,0.14191149,0.20495518,0.30284283,0.40020296,0.45519134,0.44482383,0.37795973,0.2847025,0.19758512,0.13770242,0.11110673,0.11108764,0.12411133,0.1376578,0.14677691,0.15243657,0.15744829,0.16396774,0.17780918,0.20661871,0.25139505,0.29835713,0.32707083,0.325335,0.29775667,0.25700045,0.21530406,0.1785795,0.14960946,0.12717347,0.11053038,0.100933455,0.101467706,0.11186168,0.1243247,0.12988889,0.12224012,0.10379732,0.08136099,0.0669756,0.073907755,0.108042866,0.16070576,0.20484377,0.21634136,0.18679667,0.13657296,0.094537914,0.08491442,0.1093538,0.15516555,0.20102239,0.23324852,0.24446638,0.23661815,0.2122038,0.17971115,0.15197524,0.14492984,0.16694808,0.20822418,0.24869835,0.26697087,0.261512,0.24153948,0.22338681,0.2094022,0.19642687,0.17860603,0.16122513,0.15319441,0.1599086,0.17750122,0.19647242,0.21046,0.2163621,0.21578766,0.21092941,0.20384793,0.19313836,0.17323329,0.14114608,0.10070103,0.06521873,0.04908364,0.06077251,0.0971357,0.14386493,0.18282516,0.20059995,0.19633584,0.17802773,0.15556593,0.13322307,0.11069078,0.08693802,0.06377113,0.046469312,0.041574534,0.05458338,0.085545085,0.1288214,0.1726082,0.2035213,0.21011801,0.19175978,0.16250356,0.14565063,0.15501301,0.1823559,0.20204969,0.19479275,0.16190207,0.12617338,0.1115415,0.12933487,0.16870208,0.20748524,0.22467184,0.2140485,0.18327105,0.14810951,0.12424251,0.119892836,0.13235022,0.1476283,0.15436304,0.14985664,0.14363247,0.14075093,0.1409234,0.13610435,0.12592395,0.11500683,0.11440227,0.12821852,0.15303367,0.17625691,0.18727075,0.18166518,0.1633933,0.13884927,0.114503235,0.096276395,0.08876067,0.095010586,0.11157147,0.13321896,0.15158129,0.16644813,0.17871447,0.19220872,0.20199996,0.20329052,0.19496846,0.18479721,0.1830415,0.1932394,0.21322012,0.23447675,0.2513881,0.2608402,0.26681733,0.27338764,0.27838078,0.27226177,0.24583739,0.20327239,0.1585767,0.12708141,0.1115334,0.10622982,0.10526333,0.112858236,0.13869636,0.18598087,0.241443,0.28054515,0.28433514,0.25277475,0.20414662,0.16069789,0.13657248,0.13100414,0.13426262,0.13502623,0.13154542,0.13246334,0.14756261,0.17567559,0.20085919,0.2077436,0.19288415,0.16868496,0.14838499,0.13712262,0.13011417,0.12216545,0.11274295,0.106141776,0.10552821,0.11152599,0.1215229,0.13365369,0.14595263,0.156767,0.16310115,0.16202794,0.15304266,0.13740318,0.117631726,0.09499056,0.074429534,0.06516688,0.07897952,0.11855099,0.17338021,0.22305532,0.25193885,0.25750235,0.24972485,0.24119318,0.23704499,0.23485272,0.22694339,0.20977737,0.18503839,0.1627879,0.1558419,0.17077135,0.20037676,0.22440277,0.22784741,0.21018104,0.18586038,0.16642009,0.15686525,0.1568629,0.16884506,0.19023442,0.2107398,0.21573663,0.20390745,0.19099583,0.19661097,0.22339176,0.25252187,0.2618413,0.24318284,0.20714636,0.16921777,0.14025219,0.12344241,0.11952639,0.12734944,0.142734,0.15760006,0.16477895,0.16150141,0.1505268,0.13577579,0.12177072,0.113253765,0.11733887,0.13674526,0.16757412,0.19754726,0.21916622,0.23230998,0.24422212,0.25775218,0.27030084,0.27879423,0.2830015,0.28719354,0.29219925,0.29847822,0.30187914,0.29972735,0.28889802,0.2712099,0.25117213,0.23341735,0.22058213,0.21272005,0.2112089,0.21371697,0.21403652,0.20237546,0.17757364,0.15238166,0.14568312,0.16516404,0.19737236,0.21954586,0.21851623,0.20153408,0.18684493,0.18906765,0.20776893,0.23422624,0.25713038,0.27346566,0.28035998,0.2770742,0.25901195,0.22777106,0.18770464,0.1495878,0.121862195,0.11093444,0.11424313,0.12577124,0.13788699,0.1483435,0.15696214,0.16544421,0.17445211,0.18474376,0.19316913,0.19387962,0.18137038,0.15741347,0.1308794,0.1114511,0.10342628,0.10279876,0.10296649,0.098801516,0.09097179,0.08238506,0.07529468,0.06991131,0.06737832,0.07193612,0.086277045,0.10820707,0.12865111,0.14091296,0.14232032,0.13684897,0.12703916,0.11614724,0.1060384,0.10078629,0.10195247,0.10775011,0.11257824,0.11135157,0.10330037,0.09103179,0.07830908,0.06648076,0.055905852,0.04668018,0.03962697,0.034935206,0.031537175,0.028786173,0.027885562,0.032714296,0.04491483,0.062562086,0.07892763,0.089934416,0.094323434,0.09555211,0.09485385,0.09233878,0.0849014,0.072537966,0.058169767,0.049711075,0.051754493,0.06293582,0.0747407,0.08133983,0.08334676,0.08597485,0.09085671,0.09471553,0.09345374,0.08686158,0.076739125,0.06511391,0.053185027,0.044539068,0.04361667,0.05411346,0.075595394,0.10383735,0.13113654,0.14891697,0.15047568,0.1353651,0.10955384,0.08372895,0.067265905,0.06427289,0.07111093,0.07907302,0.08093122,0.07541662,0.06823975,0.06470417,0.06693372,0.0711317,0.074886195,0.076711625,0.07914222,0.08259621,0.087689094,0.0925512,0.096378125,0.09797874,0.09768935,0.096724235,0.09620401,0.096637905,0.0961229,0.093836725,0.08934004,0.086018525,0.08551917,0.087714784,0.087920524,0.083567135,0.075672805,0.068663634,0.0649663,0.06398978,0.06400316,0.063690566,0.06252644,0.060976695,0.06208871,0.06876081,0.080195524,0.09029157,0.0934636,0.08874849,0.08024872,0.07183986,0.0662134,0.065003164,0.07109432,0.085297965,0.10453212,0.12063285,0.12542453,0.115478635,0.09508979,0.07358025,0.060721576,0.061485898,0.07405757,0.08954761,0.097591214,0.09173673,0.0745957,0.05415857,0.038877837,0.031663444,0.031030446,0.03284395,0.034203764,0.033841085,0.03280052,0.032732967,0.03454761,0.037469085,0.04080026,0.04653524,0.05927056,0.08088159,0.10707351,0.12757134,0.13551055,0.13013445,0.118626125,0.10706461,0.099544294,0.095038824,0.09273582,0.092205524,0.09531364,0.10282711,0.112511,0.1178566,0.11290505,0.09695939,0.0778903,0.06606995,0.06834953,0.08185611,0.097421765,0.10431933,0.09758786,0.08051299,0.06348159,0.058668036,0.07130752,0.09629577,0.12007222,0.13253427,0.13178515,0.124210745,0.11456741,0.10485909,0.09334011,0.08027505,0.06606448,0.05354385,0.04407106,0.038768753,0.036118854,0.036089614,0.039213326,0.04663911,0.055837724,0.062233746,0.061533857,0.053573743,0.042607564,0.035499576,0.039256662,0.055343043,0.07898527,0.09941124,0.110089205,0.10978946,0.10362446,0.09461406,0.08566559,0.078877576,0.076977275,0.07930156,0.082554944,0.083832495,0.082503796,0.078701854,0.07180246,0.06192158,0.051426724,0.04364513,0.040699612,0.042380836,0.047996882,0.05655698,0.067514874,0.07830046,0.08585168,0.08648336,0.080331415,0.07010059,0.061219964,0.05646275,0.055671245,0.054844227,0.050725654,0.042554248,0.033356376,0.027609266,0.029339949,0.040954944,0.060470194,0.08165718,0.094738476,0.09518611,0.085254736,0.07421229,0.06748385,0.06623543,0.06677038,0.0689674,0.07266467,0.07759257,0.079531066,0.07781273,0.07518312,0.07617522,0.07987169,0.08239988,0.08222105,0.082981795,0.08859974,0.097252905,0.102834105,0.099677764,0.088926785,0.074973986,0.063281775,0.054361146,0.048078675,0.043879133,0.043487966,0.046769354,0.051231425,0.053454306,0.052741054,0.052109852,0.05509526,0.061902303,0.0692156,0.073057644,0.07309189,0.072332345,0.074545205,0.07985643,0.08417126,0.08259204,0.07367461,0.060733553,0.048481334,0.04019731,0.037425447,0.04095958,0.050313413,0.061633766,0.06915089,0.0684268,0.060387388,0.050026413,0.04347733,0.043430597,0.048850935,0.056363493,0.06453105,0.07293577,0.08090702,0.08434355,0.0808995,0.07124215,0.06064995,0.05269003,0.050366644,0.054899726,0.067703985,0.08536517,0.1017212,0.109480925,0.10747448,0.09859417,0.088903874,0.081254624,0.07645845,0.07340233,0.07353377,0.0788928,0.0899132,0.10148335,0.107243575,0.10371914,0.094027184,0.083063684,0.07416146,0.06672805,0.0590611,0.04996823,0.04077849,0.035084724,0.037631243,0.049711745,0.067169726,0.08125451,0.0856931,0.07979628,0.06845895,0.057449173,0.05143951,0.055289235,0.07246718,0.10448184,0.14440894,0.18184651,0.20451705,0.20783626,0.19272411,0.16636753,0.13834552,0.12029693,0.1213576,0.14334632,0.17846043,0.214622,0.24131304,0.2531599,0.24826337,0.22732602,0.19461958,0.1562905,0.11898288,0.0859862,0.058739167,0.037705973,0.02459231,0.023142451,0.03733709,0.06794449,0.10784338,0.14572346,0.17445318,0.19727458,0.22075345,0.24378288,0.25470692,0.24222092,0.2050599,0.15494922,0.10815522,0.07969586,0.076644205,0.097993694,0.13719077,0.18351479,0.22773439,0.25829688,0.27103785,0.2654405,0.2506484,0.2355004,0.22592862,0.22128445,0.21561229,0.20541716,0.1893729,0.17218858,0.15710853,0.1491348,0.14994882,0.16017036,0.17299372,0.17933197,0.1709467,0.14941058,0.12480318,0.11293003,0.12372211,0.15454376,0.18775243,0.20486188,0.19933258,0.18113756,0.16451705,0.15557827,0.15133709,0.14594413,0.13943283,0.13448119,0.13481127,0.13902424,0.14528179,0.15042494,0.15431781,0.1552369,0.15246473,0.14383888,0.1298759,0.1119442,0.093831055,0.07909339,0.07022116,0.06673459,0.06600287,0.06529882,0.06363884,0.062007397,0.062307894,0.06703785,0.078190476,0.09606851,0.117048025,0.13502128,0.14451633,0.14442308,0.13787521,0.12863936,0.119015515,0.10836967,0.096906565,0.08467307,0.07364353,0.06359511,0.05492113,0.04704685,0.042315606,0.04323173,0.051674414,0.0656116,0.08038196,0.091711916,0.09726039,0.096994884,0.09105002,0.08181364,0.07242334,0.06673048,0.064453356,0.06354176,0.060545426,0.055158082,0.04845311,0.04384385,0.044420566,0.051912677,0.06437088,0.076692335,0.083736174,0.08312971,0.07703119,0.07012569,0.0670683,0.06915783,0.074131906,0.07796117,0.07828242,0.07510203,0.0702197,0.064723834,0.05930626,0.05450322,0.051950295,0.05303259,0.057119507,0.061168164,0.061230198,0.055639733,0.046059176,0.03716259,0.03454814,0.041203186,0.055597115,0.07106235,0.08130232,0.08393026,0.08181333,0.07857365,0.07501328,0.07035741,0.06425748,0.05932605,0.056987926,0.057137564,0.057371408,0.057795256,0.059624508,0.06410799,0.06845162,0.06912612,0.063703775,0.054653812,0.04690309,0.04636833,0.05573526,0.07353043,0.09449638,0.11253586,0.12292186,0.122996114,0.113157906,0.09657725,0.0786261,0.06354699,0.05320169,0.047234613,0.04493767,0.04589888,0.048677083,0.050567865,0.049198817,0.046294436,0.048841015,0.06360906,0.09080988,0.11988292,0.13807534,0.13768323,0.123091035,0.10340547,0.087877125,0.07950833,0.0784434,0.08230894,0.08828666,0.09290159,0.093229465,0.08923658,0.0818736,0.0734394,0.06419027,0.05559565,0.048809484,0.04573171,0.045677926,0.046155285,0.044095755,0.039327204,0.035093147,0.036977038,0.047178656,0.06256055,0.074646324,0.07815712,0.073251896,0.065478675,0.05762993,0.049877364,0.040612265,0.031752344,0.026804477,0.029745743,0.041103195,0.058591027,0.07717904,0.09305697,0.10422068,0.1120742,0.11804384,0.12316811,0.12622544,0.12560424,0.12072363,0.1122879,0.102508835,0.09213123,0.08268393,0.074847005,0.07093973,0.07098251,0.074448,0.079161376,0.0836624,0.08553449,0.082330175,0.073839486,0.06387632,0.05911313,0.062562145,0.071426876,0.07796053,0.0773356,0.07040803,0.06250661,0.05737613,0.054385286,0.051076293,0.045991395,0.04070519,0.0367602,0.034944426,0.033988316,0.032655954,0.029933468,0.026628332,0.025004959,0.028636107,0.03879592,0.053055197,0.065527625,0.072800465,0.07465518,0.07345617,0.06893622,0.062317166,0.057723116,0.0627931,0.079873286,0.103535116,0.12477881,0.13891564,0.14782886,0.15428898,0.15843715,0.15746896,0.14997424,0.13764104,0.12456504,0.11434578,0.1077028,0.10326079,0.09995756,0.09985074,0.1045304,0.11333146,0.11934182,0.117093064,0.10382268,0.08522713,0.068137385,0.059248846,0.059571844,0.0669013,0.0762548,0.08418878,0.08988657,0.0956917,0.10234318,0.10775709,0.10718519,0.09890878,0.08517441,0.07093788,0.059337113,0.050257076,0.041824553,0.033562366,0.028046282,0.029479505,0.03950333,0.054982305,0.06914898,0.07655668,0.07596644,0.069377296,0.059719134,0.049648065,0.043313324,0.045095768,0.056902956,0.07493815,0.09135293,0.09928814,0.09669135,0.087062,0.07548844,0.06624555,0.06042927,0.05768166,0.056194115,0.054617193,0.05219568,0.050041508,0.049753647,0.051672842,0.053707484,0.05327365,0.049266323,0.043941945,0.041622657,0.048483264,0.06730151,0.094544224,0.11827034,0.12722765,0.11817727,0.09940135,0.08165067,0.07215047,0.07133335,0.07794106,0.08884451,0.10019443,0.105861545,0.1021168,0.089181,0.071972005,0.055692274,0.04335986,0.034818426,0.028978117,0.025491165,0.025188925,0.028273344,0.032745253,0.035178874,0.03369769,0.030450622,0.029494232,0.032941043,0.038021058,0.040426623,0.03845876,0.03579715,0.03726882,0.04457748,0.053927768,0.060611617,0.06294313,0.06365729,0.065828115,0.069747984,0.07331148,0.0746377,0.07435406,0.07317137,0.07119032,0.06648524,0.059241723,0.051034868,0.045465518,0.04300754,0.04233854,0.04059875,0.038699973,0.039534193,0.04590712,0.055760395,0.06388333,0.06549307,0.059981514,0.050401945,0.040518153,0.032745685,0.02843178,0.029654035,0.03908189,0.05680175,0.077952914,0.0942404,0.100427836,0.09733062,0.09046096,0.08377042,0.077868305,0.070752166,0.061593756,0.051088896,0.041674633,0.036913227,0.042088103,0.061845154,0.09620536,0.13820142,0.17869489,0.21002233,0.22864155,0.22919895,0.2102368,0.1748237,0.13670231,0.10957914,0.105076514,0.12527876,0.16408736,0.2040543,0.22550727,0.21770836,0.18871535,0.15723197,0.13791965,0.13052632,0.12573618,0.11717639,0.10809043,0.10543454,0.10994357,0.11396435,0.10811167,0.090201534,0.06713679,0.051241193,0.054043043,0.07920288,0.12031696,0.16167338,0.18934359,0.19601701,0.18576348,0.16674636,0.14768296,0.13137595,0.115139484,0.09600457,0.07684947,0.07005596,0.08746799,0.13203092,0.19081359,0.24440396,0.27713785,0.28547445,0.27568135,0.2566698,0.23515962,0.2130803,0.19047703,0.16631274,0.14065148,0.114207,0.09018305,0.0750825,0.0777879,0.103145145,0.14672144,0.1933154,0.22577818,0.23351832,0.21968631,0.19729717,0.18103363,0.1769529,0.17977716,0.17951722,0.17038278,0.15520605,0.14033985,0.13093208,0.12815325,0.13161318,0.13974015,0.15065463,0.16212767,0.17172302,0.17703684,0.17571364,0.16799934,0.15587015,0.14266433,0.12979896,0.118941404,0.11108324,0.107958145,0.10859213,0.11099794,0.111602195,0.10774282,0.09790925,0.083301015,0.068212695,0.057364065,0.053676482,0.055809304,0.060248274,0.06273475,0.060521793,0.05381,0.046312403,0.045411006,0.05714198,0.08220691,0.1116068,0.13254794,0.13547525,0.122110955,0.10173193,0.085359044,0.0772587,0.076341115,0.07749155,0.07792037,0.076014735,0.072748266,0.06824487,0.06328412,0.058119003,0.053206276,0.0482244,0.042622846,0.036522314,0.031207902,0.028224358,0.02834078,0.030901382,0.035281867,0.041073848,0.048723605,0.057626173,0.06624272,0.071454756,0.07104962,0.064621896,0.054906365,0.045472447,0.03911869,0.035966128,0.0346874,0.03339107,0.031320777,0.028387448,0.025197608,0.022119656,0.019971274,0.020277075,0.025638254,0.037912767,0.056625992,0.077196985,0.09336438,0.09922514,0.09389902,0.08070187,0.06631412,0.055714976,0.05047326,0.048968043,0.048357382,0.047298614,0.044862,0.041526277,0.03705638,0.032180242,0.027087383,0.022731168,0.019410498,0.017401265,0.01677046,0.018506663,0.024602925,0.0356854,0.050112233,0.063231,0.07205927,0.07493276,0.07300348,0.06657428,0.057578623,0.048179816,0.041801333,0.040395062,0.04459944,0.052897617,0.061352313,0.06495173,0.06085457,0.052177157,0.04600809,0.047293484,0.054640066,0.062217135,0.06737238,0.07165358,0.07808748,0.08453217,0.08604326,0.0790765,0.06604912,0.05257005,0.043278772,0.03879508,0.036713686,0.03471634,0.032538284,0.03306878,0.03881635,0.050780844,0.06487607,0.07631257,0.07984176,0.07514309,0.06401817,0.051224977,0.039921246,0.031782825,0.026710005,0.025305748,0.02980418,0.041018274,0.056484457,0.06987322,0.0767346,0.076790914,0.073445946,0.06963253,0.0655155,0.060388148,0.053754985,0.047362924,0.043094795,0.042683203,0.045711476,0.050385546,0.053912032,0.054089267,0.049911756,0.04207465,0.032981876,0.026007252,0.023684954,0.025613165,0.028383883,0.02839446,0.026044436,0.026986653,0.039131444,0.064846255,0.09747398,0.12285032,0.13031329,0.11804306,0.09412829,0.067780755,0.0456533,0.030189916,0.022793384,0.024423584,0.034444805,0.0501738,0.066144235,0.07770279,0.081471734,0.07843396,0.07139925,0.064872555,0.061186552,0.060830027,0.061986435,0.063363254,0.06443884,0.0657722,0.06716756,0.067801125,0.06699377,0.06522485,0.06347921,0.06112668,0.05660897,0.049625304,0.043975312,0.045047108,0.054886144,0.06899797,0.07902027,0.080184065,0.074407704,0.06893741,0.06761669,0.06914384,0.06730058,0.059398416,0.046615705,0.033997755,0.024590993,0.019631103,0.018707255,0.021574983,0.026917532,0.032280967,0.03549314,0.037313875,0.041621935,0.05211528,0.069253065,0.08797431,0.10128524,0.10345277,0.09620067,0.086957045,0.08513919,0.093356185,0.10694906,0.117652394,0.12111503,0.11802721,0.111527346,0.10472738,0.10027706,0.10127949,0.10792541,0.116703995,0.121151574,0.11777794,0.10795223,0.09666211,0.08834561,0.08474249,0.085283875,0.08778567,0.08958406,0.08822366,0.08366608,0.0787299,0.07677586,0.07777345,0.077431105,0.07170839,0.060933173,0.049661297,0.04221724,0.03931612,0.039286185,0.039592866,0.039823655,0.039859418,0.04054801,0.040942505,0.04068124,0.03993763,0.041635156,0.048334364,0.06034856,0.07362964,0.08274975,0.08384543,0.07742932,0.06799228,0.0614426,0.062050838,0.06890861,0.07797516,0.083797716,0.08535165,0.083725266,0.08218787,0.0809188,0.079102464,0.07479449,0.06790772,0.05990638,0.05249399,0.046853334,0.042157937,0.03781812,0.03306559,0.02873004,0.025230361,0.023022363,0.021264598,0.01956528,0.018233432,0.019556955,0.025565833,0.036638822,0.049801826,0.06142627,0.07022157,0.078848846,0.09037527,0.10347869,0.11182395,0.10948062,0.096308835,0.07812087,0.061169337,0.04878975,0.04091582,0.037345544,0.038100112,0.04360029,0.051912878,0.059609503,0.06237698,0.059171308,0.051947474,0.044885267,0.040521342,0.03893157,0.038166683,0.036171228,0.03255799,0.028925955,0.028376212,0.032896172,0.041449565,0.04976176,0.053522557,0.051538367,0.046078723,0.040067643,0.034596454,0.02981846,0.027351847,0.031549662,0.046635527,0.07216769,0.10163498,0.1251354,0.13715705,0.13891657,0.13730545,0.1376367,0.13940632,0.13853438,0.13022523,0.11652588,0.10158336,0.09200063,0.0874922,0.08505487,0.07877161,0.06827323,0.058311988,0.058444243,0.074582785,0.10383693,0.13305281,0.14826088,0.14382927,0.12588897,0.10484103,0.08774292,0.07561191,0.0666543,0.05968244,0.055059332,0.05380534,0.056231465,0.061387014,0.06797243,0.07522685,0.083218284,0.09137264,0.09832544,0.10215431,0.10246855,0.09957352,0.09490431,0.08871907,0.08188063,0.074779995,0.06907982,0.06511995,0.06350862,0.064736545,0.07285037,0.08999893,0.11440431,0.13576251,0.14576812,0.14236777,0.13304888,0.12465748,0.11891284,0.112743974,0.10540048,0.10264028,0.113072455,0.1397265,0.17593442,0.21003743,0.23491044,0.24764037,0.24665494,0.22898035,0.19916254,0.16847579,0.1488292,0.14157443,0.14175211,0.14629936,0.15581281,0.16894425,0.17715897,0.17410469,0.15829696,0.13535322,0.10902751,0.085551776,0.07341454,0.08191344,0.109584205,0.1418875,0.15939064,0.15185183,0.12333027,0.08678905,0.054995403,0.035596684,0.031707663,0.041724224,0.06016509,0.0766631,0.082993686,0.07708323,0.06794573,0.06748341,0.0833657,0.11218796,0.14331025,0.16634117,0.17538787,0.17225946,0.16109382,0.1489231,0.1386456,0.13249165,0.12878086,0.12807678,0.13030368,0.13810992,0.15147232,0.16870992,0.18180573,0.18245567,0.16575758,0.13830233,0.11393922,0.105243444,0.114018835,0.13036047,0.14146058,0.13898373,0.12609608,0.1144358,0.118313156,0.14327773,0.18255217,0.22158115,0.24812587,0.25651768,0.2479374,0.22683044,0.20056541,0.17426153,0.15044083,0.12761156,0.10553218,0.08503982,0.068348065,0.05753177,0.054870177,0.06322754,0.08140818,0.10389441,0.119366705,0.12048191,0.10554018,0.08336207,0.06556607,0.06502977,0.08585096,0.12223556,0.15627967,0.1717068,0.16208415,0.13692321,0.109990776,0.091760546,0.08252868,0.078181274,0.0724115,0.06323723,0.053550873,0.053066075,0.07164034,0.109290324,0.15244766,0.17916493,0.17849357,0.15439193,0.12412652,0.099776596,0.08610939,0.0798094,0.078612186,0.08062154,0.08505539,0.09056044,0.09693852,0.10359771,0.1080466,0.10579463,0.09478038,0.078758605,0.06646041,0.064956285,0.07444906,0.0877935,0.09738994,0.10197055,0.106698304,0.116229706,0.12745945,0.1317304,0.12195,0.09908051,0.072045274,0.053092252,0.053232312,0.07493845,0.11101379,0.14525914,0.16448666,0.16344841,0.14816734,0.12636368,0.10445422,0.08363587,0.06472559,0.04758489,0.03510961,0.030968243,0.04119413,0.06455957,0.09350292,0.11275973,0.11554738,0.103153825,0.08575525,0.06883461,0.05408439,0.040621515,0.031289544,0.031709615,0.04691568,0.07460953,0.1053862,0.12494602,0.12649153,0.11073294,0.087825924,0.06527589,0.048528258,0.036895756,0.02986187,0.026031286,0.025564266,0.027860561,0.0326917,0.040479895,0.052841574,0.07219559,0.09823678,0.12891047,0.15604986,0.17158304,0.16697876,0.14536516,0.11621977,0.09349334,0.08142704,0.07663047,0.07137778,0.061901968,0.0494528,0.038120825,0.032832917,0.034701113,0.04111278,0.045669567,0.04637456,0.04715376,0.05605663,0.07567921,0.09951807,0.11710302,0.12168801,0.115530334,0.10402193,0.09209948,0.080903634,0.07110843,0.06370746,0.05983631,0.05994605,0.06284819,0.06653538,0.068326235,0.06651931,0.061201315,0.054047544,0.047910143,0.045717087,0.05062811,0.06331784,0.08058969,0.094706625,0.09847855,0.08957618,0.0722181,0.05333874,0.039487813,0.03506121,0.04293388,0.060927123,0.08343754,0.101744644,0.113903575,0.12054614,0.1258312,0.12710589,0.12296402,0.111691386,0.098588295,0.08737021,0.081259884,0.077887304,0.07607302,0.07554612,0.08017159,0.091727026,0.10921604,0.12648441,0.138175,0.14067346,0.13585927,0.12699203,0.118268915,0.111365795,0.10636095,0.101967506,0.09532949,0.08495122,0.071410745,0.060520414,0.05845034,0.06800609,0.0851366,0.10137096,0.109746195,0.107218,0.096695244,0.08241385,0.0691401,0.05792214,0.04856086,0.03923279,0.030128593,0.02250279,0.019764297,0.02601304,0.043828774,0.071818344,0.102427326,0.1269074,0.13894881,0.13915165,0.13159624,0.120731704,0.10923485,0.09768737,0.08631298,0.07380898,0.06027508,0.04740381,0.04005604,0.043204684,0.05856499,0.083914064,0.11175924,0.1344758,0.14373071,0.13851403,0.12190617,0.10329007,0.0885731,0.08091983,0.07777053,0.07622368,0.073028736,0.06792799,0.06340283,0.064601995,0.0748822,0.092573546,0.11023759,0.119403064,0.11563194,0.10081477,0.08081547,0.06111228,0.04488382,0.03334902,0.028411508,0.032931075,0.04806422,0.07062491,0.09196436,0.10421505,0.10355452,0.09383728,0.08060045,0.069160186,0.060623985,0.0555159,0.05317853,0.054042146,0.05677196,0.059932902,0.06094128,0.059120405,0.05480163,0.050561126,0.048896924,0.05180885,0.05857085,0.06656563,0.07234928,0.07459163,0.074244715,0.07403389,0.07565435,0.07891637,0.08146928,0.08089689,0.07663686,0.06962408,0.061262827,0.0518305,0.044023156,0.044191733,0.06128053,0.097540975,0.14339525,0.17972386,0.19173037,0.17884652,0.1544485,0.13340046,0.12174984,0.11547744,0.10717968,0.09380872,0.078181714,0.066671334,0.06305116,0.06542706,0.067647584,0.06450116,0.056492757,0.047761634,0.042191144,0.03954659,0.037929077,0.037056398,0.039039034,0.046142276,0.05683725,0.067516156,0.07418612,0.07695911,0.07815769,0.08088234,0.08542105,0.08958445,0.09032142,0.08651487,0.080983445,0.07991902,0.08828325,0.10548439,0.12307265,0.13185452,0.12666045,0.11040274,0.0887349,0.06846178,0.055520695,0.056144338,0.07335081,0.10476619,0.14078099,0.16972464,0.18194674,0.17542462,0.1542136,0.12623657,0.09854004,0.075680204,0.060094323,0.053248357,0.055695403,0.065473914,0.07682402,0.08311366,0.08016192,0.06957815,0.0553648,0.041984458,0.03221953,0.02939262,0.036142584,0.052191734,0.07252212,0.08936445,0.0980306,0.09893054,0.0970909,0.09616985,0.0965335,0.095920585,0.09289834,0.08882768,0.0850502,0.08246713,0.079525106,0.076179564,0.0728511,0.072104685,0.07534733,0.0828759,0.09285877,0.102387756,0.108689725,0.109033965,0.10287418,0.091107585,0.07710594,0.06293851,0.04965735,0.036688294,0.025473997,0.018872933,0.020586034,0.030729076,0.045938622,0.060293585,0.0708959,0.0777335,0.08311971,0.08673931,0.08769407,0.08451902,0.078514375,0.070558764,0.0622346,0.054292645,0.04900987,0.04764623,0.0503024,0.054428022,0.057739314,0.05851609,0.056960285,0.053264577,0.04896578,0.045924027,0.047359124,0.055102687,0.06972327,0.09019628,0.11463871,0.13959007,0.15785122,0.16240169,0.14956763,0.12422732,0.09416729,0.06694613,0.044921014,0.029205391,0.020628996,0.02184307,0.03366108,0.053291377,0.07455317,0.09274279,0.10720664,0.11900703,0.12645406,0.12672733,0.12059411,0.113688625,0.11079162,0.11030412,0.10778692,0.1002416,0.09070843,0.08193413,0.07614136,0.07174096,0.06821707,0.063748285,0.05817886,0.052582983,0.052575413,0.06403503,0.08794739,0.11680955,0.13935764,0.14891589,0.14636558,0.13769922,0.12761424,0.11860684,0.111034594,0.10624636,0.1051201,0.10824486,0.113118045,0.11649201,0.11498275,0.10805098,0.098091185,0.089913994,0.09022498,0.10125903,0.1199797,0.13552882,0.14078784,0.13400948,0.12185609,0.10975021,0.100000866,0.09172336,0.08460012,0.08230796,0.08730272,0.099836655,0.11306561,0.12249544,0.12660347,0.1301286,0.13429005,0.1371765,0.13351752,0.12202742,0.10535156,0.08934585,0.07873082,0.07446166,0.073382996,0.07070249,0.065157495,0.061512295,0.067243226,0.086500086,0.11340634,0.13750398,0.1483749,0.14628337,0.1359973,0.12561658,0.11738787,0.11303259,0.11201251,0.11435401,0.11692882,0.11533898,0.10630292,0.08996889,0.070881195,0.055303916,0.05030455,0.05811517,0.07581678,0.09407354,0.10559851,0.10803113,0.10610479,0.10503858,0.10626697,0.10653431,0.100575715,0.08669945,0.0672438,0.048252832,0.034036543,0.028380172,0.03480601,0.060038526,0.103354774,0.15452673,0.19147332,0.2020201,0.18696558,0.1623053,0.13903637,0.12207297,0.10836328,0.09651673,0.086297415,0.081765465,0.086790465,0.1035499,0.1262268,0.14557688,0.15283774,0.14849608,0.13958187,0.1367407,0.1439247,0.15794708,0.16790448,0.16665833,0.15314423,0.13662703,0.1259068,0.12587284,0.13100876,0.13373804,0.1281952,0.11681682,0.10458683,0.09671819,0.092979066,0.09108003,0.08692292,0.07921516,0.067974634,0.056503683,0.049200356,0.05197264,0.06635213,0.087947816,0.10724017,0.11806253,0.12076899,0.11912707,0.11525354,0.10926622,0.10388693,0.103467315,0.1095498,0.11826446,0.123511136,0.1238616,0.12151519,0.120946944,0.12243321,0.12420586,0.12166435,0.113346554,0.101172,0.09109377,0.087709986,0.09072437,0.09644381,0.10023595,0.10124385,0.09886819,0.094054826,0.08618495,0.07739378,0.07025663,0.06773434,0.06898252,0.07009258,0.0671293,0.059203576,0.049008463,0.03894682,0.030111874,0.022508254,0.017715184,0.019082071,0.029161185,0.04790139,0.0695535,0.08686429,0.092733435,0.08726245,0.074553624,0.062100444,0.053723842,0.05067126,0.050661847,0.05155805,0.051083956,0.048418015,0.04386432,0.03935252,0.036988992,0.037301213,0.038998757,0.0406722,0.043272108,0.048778817,0.05734123,0.06552481,0.06939677,0.06819697,0.06450863,0.061561808,0.060255975,0.05967884,0.057942178,0.05441527,0.05036108,0.04816404,0.04860869,0.049002066,0.046552766,0.041780952,0.040446743,0.04678091,0.060204785,0.073102064,0.07928219,0.07598006,0.06724607,0.057206005,0.050584715,0.049020346,0.05394475,0.063084655,0.07271547,0.077590704,0.076425515,0.07136174,0.06731472,0.066297136,0.067410834,0.067581385,0.065999664,0.06410151,0.063833825,0.065656215,0.06801713,0.070613675,0.07268395,0.0740181,0.07143018,0.06469603,0.05654804,0.055515334,0.066044606,0.08602009,0.10393333,0.11076006,0.10414874,0.09126603,0.07895294,0.0704878,0.0638411,0.05711077,0.0496428,0.042387083,0.036553636,0.034351896,0.039812073,0.05589133,0.080928564,0.10646505,0.12298951,0.1257273,0.11712059,0.102618136,0.0865413,0.07141744,0.05868252,0.049566526,0.043978702,0.041453067,0.040877763,0.04153256,0.041992832,0.042213332,0.04324934,0.048514336,0.058772486,0.07195092,0.0813525,0.08294182,0.0758309,0.06466259,0.053901732,0.047311958,0.04567933,0.04799728,0.052067786,0.055518344,0.05708179,0.055538997,0.050786987,0.043855995,0.038984388,0.040596943,0.05091995,0.06592125,0.07886717,0.08360127,0.08004586,0.07170828,0.063391894,0.057407767,0.054805666,0.055645123,0.058784187,0.061259065,0.05969928,0.053339962,0.044509977,0.03709575,0.033554565,0.034166247,0.03746806,0.041620705,0.045136943,0.047001343,0.046681944,0.044458974,0.041886766,0.040989716,0.042700917,0.045791473,0.04798144,0.047701184,0.045206327,0.042228367,0.041089028,0.044234186,0.052903865,0.065947644,0.07858386,0.08498711,0.08212032,0.07253339,0.061718937,0.0539704,0.049984585,0.049255013,0.05132459,0.056550156,0.06369519,0.07100359,0.07628217,0.07866687,0.07805807,0.07528735,0.07124739,0.06632644,0.06049663,0.05486867,0.052261453,0.055192526,0.06268484,0.069925934,0.07236151,0.06880741,0.062386885,0.05655806,0.05426331,0.05559582,0.059634984,0.062830456,0.064656824,0.069227934,0.08918574,0.13279863,0.19679129,0.258796,0.2966279,0.29973915,0.28094232,0.25919998,0.250834,0.25592384,0.26789424,0.27457854,0.27044293,0.25326103,0.22909556,0.2037385,0.18207586,0.1623621,0.14236283,0.12461475,0.12112393,0.14531815,0.19871104,0.26213357,0.30575764,0.30978903,0.2797319,0.24004371,0.2132892,0.20433716,0.20187867,0.19480026,0.1830317,0.17470597,0.17411523,0.17585611,0.17103422,0.15507878,0.13027456,0.10251757,0.07876705,0.06769341,0.07609056,0.10460327,0.14506567,0.18598597,0.22130227,0.24817741,0.26560208,0.26840904,0.25921214,0.24471152,0.23504399,0.23037171,0.2264231,0.21871306,0.20494382,0.18485813,0.1595205,0.14212924,0.14848918,0.18791592,0.24612951,0.29838145,0.3243214,0.3214349,0.29577386,0.2534493,0.20040573,0.15090564,0.12826395,0.1498447,0.21177904,0.28697002,0.34523392,0.37311187,0.377606,0.37261072,0.36368808,0.34722844,0.31852528,0.28140265,0.24988796,0.23785035,0.24956815,0.2732999,0.29311344,0.2989526,0.29291683,0.28156283,0.2672859,0.24686168,0.2154084,0.17572488,0.13944644,0.12523529,0.14329939,0.18898554,0.24114226,0.28228593,0.3056897,0.317804,0.32297066,0.3214921,0.30872402,0.2829984,0.24749155,0.21487243,0.19957264,0.20952247,0.23615336,0.263755,0.27923727,0.27860096,0.26176178,0.23212825,0.203776,0.20121485,0.24604678,0.3314049,0.4199563,0.46386334,0.4426856,0.3734009,0.29662916,0.24463362,0.22767262,0.23388796,0.24324714,0.23939441,0.22339602,0.20997958,0.2173206,0.24495189,0.27999642,0.30424884,0.31578395,0.31807184,0.31691322,0.30758062,0.2880136,0.26157537,0.23949437,0.22695608,0.22120623,0.21564661,0.20959039,0.20645952,0.20664687,0.20665608,0.20239703,0.19595462,0.19001931,0.18529777,0.17833675,0.16801809,0.15573917,0.14321698,0.128094,0.109906465,0.09295064,0.08643199,0.09222183,0.102102876,0.10255331,0.09068378,0.07996505,0.09438022,0.14797205,0.23093764,0.31050786,0.35320142,0.34684667,0.30532837,0.25415242,0.21070594,0.17898285,0.15412733,0.13580264,0.1340224,0.16774367,0.24347109,0.3419998,0.4182934,0.44113886,0.41239157,0.36933443,0.3396406,0.32867336,0.31916824,0.30250803,0.2788544,0.25353158,0.22501324,0.19125414,0.15359508,0.11744838,0.088260375,0.07094854,0.07400856,0.10612253,0.17311502,0.26268226,0.35133228,0.40463683,0.4065238,0.358124,0.28890195,0.22899574,0.20310873,0.20929737,0.23319332,0.25484255,0.27036083,0.28288698,0.30027464,0.31840107,0.33293828,0.33507705,0.3238102,0.29657182,0.258443,0.21473293,0.17409246,0.14139612,0.12245553,0.12409709,0.15417029,0.2111196,0.28191677,0.3438368,0.3794354,0.38036177,0.35071477,0.3015928,0.24875371,0.20748603,0.18573846,0.18293697,0.19075388,0.19926383,0.20132922,0.19469567,0.18370265,0.17208183,0.16330107,0.15747635,0.1602581,0.1760997,0.2049358,0.23270237,0.2429065,0.22576676,0.19006519,0.15656196,0.14766933,0.17087175,0.21386594,0.2533699,0.2711236,0.2631491,0.23491262,0.19636397,0.15767089,0.12747517,0.1075779,0.09310189,0.08060334,0.07270747,0.07611676,0.090405725,0.10782733,0.11807289,0.11838772,0.112779416,0.10743022,0.10515586,0.10584433,0.10937858,0.1152251,0.12186053,0.12506302,0.121754386,0.11213241,0.10192889,0.09947979,0.10976408,0.13013296,0.15082425,0.16297042,0.16323423,0.15516484,0.14501996,0.13853918,0.13761567,0.13871837,0.13646704,0.12890403,0.12031472,0.116483964,0.118382394,0.12213063,0.1224724,0.11829863,0.11133322,0.10459834,0.09898939,0.092591785,0.083236285,0.0721053,0.06707895,0.07646153,0.10112659,0.12931943,0.14532588,0.14134043,0.123767756,0.106634595,0.10026459,0.10500884,0.11280648,0.11474284,0.105866425,0.08812169,0.067580946,0.053352848,0.052543074,0.068144575,0.094949484,0.123463966,0.144166,0.15339695,0.15254301,0.14502054,0.13415389,0.1223532,0.11304311,0.1090638,0.11303434,0.12528022,0.14374614,0.16372675,0.17922182,0.18638712,0.1834171,0.17063312,0.14904584,0.12426952,0.10604593,0.10347327,0.11625513,0.13480197,0.14769334,0.1505696,0.14564489,0.13814205,0.13222504,0.13196133,0.13842998,0.14881484,0.15651764,0.1587671,0.15789787,0.15990186,0.16473334,0.16950364,0.1693837,0.1656005,0.15784925,0.1454743,0.1262542,0.105195396,0.091763675,0.093858354,0.10930469,0.12765169,0.13755602,0.13453405,0.122111045,0.10780167,0.09756584,0.09186313,0.086974986,0.078096,0.06632934,0.05801375,0.062289566,0.080620654,0.10648062,0.1271425,0.1350827,0.12990628,0.119052224,0.10948742,0.10556873,0.10590833,0.10702195,0.104350485,0.09649181,0.08534444,0.07596647,0.07211078,0.07463604,0.081513695,0.09095002,0.10099432,0.10953664,0.114431314,0.11661685,0.11906251,0.12327849,0.1260594,0.12164909,0.106703795,0.08276636,0.055680458,0.03171665,0.016017783,0.011458948,0.020488976,0.043635607,0.07781618,0.115219705,0.14666511,0.16680312,0.17475235,0.17356218,0.1657929,0.153841,0.13741943,0.1170407,0.095605366,0.08122858,0.08233398,0.10111022,0.13039218,0.15792738,0.17576642,0.18339801,0.18627793,0.18772566,0.18751054,0.18259032,0.17255539,0.16009595,0.14938748,0.14240722,0.1380062,0.13285702,0.12469176,0.11289922,0.100316375,0.08996903,0.08498993,0.08444067,0.086051255,0.08713939,0.08785742,0.08905724,0.08997399,0.08842028,0.08266673,0.073974304,0.06409714,0.054922003,0.04812325,0.0484748,0.060337592,0.08404392,0.11168005,0.1333223,0.14334093,0.14363362,0.1389577,0.13142699,0.120976396,0.10738199,0.09290174,0.079828255,0.069014095,0.05975516,0.05124693,0.04450698,0.04125583]