[0.004196899,0.009412975,0.023541486,0.047116477,0.07692882,0.10614007,0.12781082,0.13898511,0.14148082,0.1393963,0.13630761,0.13405113,0.13308711,0.13302048,0.1331309,0.13285571,0.13200064,0.13055708,0.1286293,0.1264907,0.12465807,0.1232535,0.121942036,0.12008103,0.11755845,0.114567764,0.111558765,0.10889473,0.1072253,0.107168205,0.108866744,0.111533314,0.113736294,0.11429999,0.112918615,0.110252656,0.10724456,0.104885675,0.10428539,0.10704442,0.1142669,0.12566598,0.13891089,0.15134555,0.16093524,0.16707474,0.16953014,0.16860496,0.16489048,0.1594168,0.1528994,0.14566125,0.13785045,0.12984039,0.122247376,0.115654685,0.11044284,0.10651379,0.103395455,0.10039135,0.097063065,0.093242355,0.08897796,0.084322214,0.07948112,0.07485232,0.07093581,0.067955814,0.06567381,0.06348481,0.0609277,0.05805408,0.055485185,0.05407503,0.054700967,0.05811288,0.064468436,0.07265269,0.08014908,0.084298365,0.08390234,0.07987395,0.07423371,0.06872963,0.06411763,0.060334187,0.05691803,0.05338898,0.04950553,0.04542849,0.041568656,0.03835872,0.03605983,0.03489257,0.0349715,0.036187276,0.037886456,0.039233517,0.039624926,0.039201383,0.038427416,0.037725747,0.037092797,0.036438216,0.03571589,0.03501575,0.03431809,0.033501063,0.03241394,0.031076312,0.029809466,0.029287392,0.03034552,0.033370096,0.03775273,0.041912276,0.04423539,0.044082176,0.042047564,0.039332375,0.03684646,0.03488609,0.03324602,0.03164717,0.029938081,0.028135605,0.026323678,0.02451223,0.022840245,0.021856891,0.022856742,0.027189502,0.035092566,0.04477239,0.05333875,0.058752682,0.061159115,0.06263635,0.06582735,0.07301774,0.084513046,0.0981916,0.10957914,0.115404755,0.115429215,0.11267689,0.10968787,0.10733377,0.10543844,0.1056304,0.11043912,0.12117487,0.13509007,0.14736544,0.1538218,0.15397966,0.14995126,0.14474398,0.14015804,0.1367906,0.13437706,0.13258056,0.1310342,0.1294408,0.12744953,0.12505777,0.12284154,0.12182345,0.12274716,0.125228,0.12786599,0.1289215,0.12765579,0.124410324,0.12053277,0.11715273,0.115202434,0.11459004,0.1147299,0.11415774,0.11207253,0.108352385,0.10404558,0.09984315,0.09645625,0.09462216,0.095950656,0.10150895,0.11089734,0.12171373,0.1311949,0.13752711,0.14056964,0.14107282,0.13988371,0.13734055,0.13343863,0.12818514,0.121979125,0.11549908,0.109363474,0.103796475,0.098722726,0.09408622,0.09013567,0.08727195,0.08566614,0.08484017,0.08386582,0.081851535,0.07853361,0.07430238,0.06998184,0.066465765,0.064422674,0.06397075,0.06457787,0.06530412,0.06536048,0.064407855,0.06276593,0.061315965,0.06161514,0.06497597,0.07158662,0.07943378,0.085542075,0.0874255,0.08482423,0.07910637,0.0723929,0.066232555,0.061329957,0.057484295,0.054046158,0.05042723,0.046443984,0.04231785,0.038433794,0.03526394,0.03338049,0.033295903,0.035102203,0.038092595,0.041088298,0.043027196,0.04364563,0.04328428,0.04248841,0.041514874,0.04044436,0.03933017,0.038327977,0.03756478,0.037055,0.036713693,0.036566466,0.03695968,0.03866889,0.04231869,0.047699634,0.053273737,0.05713846,0.058181357,0.056862462,0.05441454,0.051860403,0.049461007,0.04707587,0.04462731,0.042246576,0.04012287,0.03830093,0.03665782,0.035004202,0.03321311,0.031270586,0.02922658,0.027158594,0.025167013,0.023397526,0.022019045,0.021140471,0.020753855,0.020694027,0.020729546,0.020654876,0.020424867,0.020140644,0.019973459,0.020035094,0.020304544,0.020661877,0.021021763,0.021889277,0.024911188,0.032991726,0.048566025,0.07141119,0.09743595,0.12092186,0.13774283,0.14740796,0.15183093,0.15358311,0.15526682,0.16041301,0.17284416,0.19418968,0.22123973,0.24733542,0.26695406,0.27952865,0.28845587,0.29693112,0.30546272,0.3128077,0.31784418,0.3200387,0.318343,0.31189,0.30065015,0.2865167,0.27156648,0.25721562,0.24362196,0.23104358,0.2204941,0.21371396,0.2120864,0.21577759,0.22325861,0.2313418,0.23535122,0.2302366,0.21307091,0.18553017,0.15414757,0.12665303,0.10783926,0.09775761,0.0942733,0.096251465,0.10478726,0.12104833,0.1436357,0.16790341,0.18851121,0.20246889,0.21044739,0.21494623,0.21795161,0.21949874,0.21828528,0.21296066,0.20386934,0.19379698,0.18708038,0.18620878,0.18926693,0.1902764,0.18389587,0.16902412,0.14950894,0.13051926,0.11578991,0.106462985,0.10264102,0.10481059,0.11366802,0.12826283,0.14386052,0.15392108,0.1538703,0.14498098,0.13230225,0.12097392,0.11260892,0.10621961,0.10004451,0.093792,0.08890581,0.0883013,0.09405262,0.10569897,0.11920279,0.1296485,0.13383107,0.13207018,0.12667905,0.12008706,0.11367721,0.107880406,0.10311278,0.099876605,0.09880543,0.099484675,0.10058672,0.10051528,0.09912006,0.09760657,0.09716932,0.097454645,0.09694751,0.09487752,0.09237874,0.09195832,0.09540094,0.10229549,0.11017376,0.116047196,0.11824813,0.116425455,0.11113296,0.102774054,0.09225736,0.08080668,0.06991064,0.060361188,0.05234887,0.045689177,0.04017297,0.035719857,0.03270397,0.03240919,0.03632039,0.04482989,0.056002554,0.06674636,0.074752934,0.079916745,0.08361084,0.087552704,0.093716554,0.104597665,0.123001635,0.15049744,0.18558252,0.2228071,0.25320065,0.26840663,0.26476863,0.24649161,0.22261389,0.20247392,0.1911282,0.18886054,0.19304381,0.20142597,0.21406949,0.23198706,0.25389636,0.2748524,0.28939274,0.29562232,0.29590574,0.29391745,0.29157507,0.28911164,0.2862836,0.2836365,0.2820321,0.28204215,0.2834192,0.28496432,0.28524673,0.28312206,0.27891898,0.27410474,0.27061102,0.26888135,0.26773307,0.26539776,0.26164675,0.25763297,0.254339,0.2507376,0.24488199,0.2359526,0.2257457,0.21717127,0.21200526,0.20975019,0.20834142,0.20560461,0.19984935,0.19038612,0.17793113,0.16469432,0.153377,0.1453345,0.13995622,0.13519132,0.12947117,0.12303883,0.11869522,0.12053291,0.13140158,0.15031995,0.17218257,0.19041114,0.20041533,0.20156424,0.19634299,0.18818305,0.1804213,0.17553534,0.17516713,0.1781895,0.18181802,0.18300152,0.18165833,0.17954396,0.17850995,0.17858064,0.17915247,0.18052971,0.18400015,0.19027694,0.19765174,0.20264791,0.20202702,0.1954846,0.18540019,0.17537709,0.1674654,0.16195832,0.15782915,0.1547084,0.15298168,0.1533174,0.15519622,0.15700714,0.15713923,0.15527195,0.15234327,0.14947726,0.14727522,0.14563471,0.1442589,0.14262716,0.14043075,0.13759,0.1345904,0.13199317,0.13026331,0.12958728,0.12996416,0.13106291,0.1319574,0.13163279,0.12968445,0.12715013,0.12575352,0.12671305,0.12947708,0.13232023,0.13375689,0.13373375,0.13311905,0.1324662,0.13145977,0.12947102,0.12627245,0.12211377,0.11751952,0.11319888,0.10996783,0.10836337,0.10835338,0.109538294,0.11179906,0.1158291,0.122542344,0.13233559,0.14374314,0.15427266,0.16086942,0.1620995,0.15789223,0.14986669,0.13970573,0.128863,0.118096344,0.10788632,0.098772176,0.09112521,0.08513398,0.080574974,0.07771256,0.077852994,0.0832324,0.095189184,0.11230741,0.13044892,0.14519145,0.15444066,0.15899883,0.16090499,0.1617083,0.1618665,0.16123278,0.15955736,0.15675461,0.15291756,0.14828898,0.14311457,0.13761924,0.13201271,0.12658428,0.121596456,0.117224425,0.113468856,0.11028278,0.10754586,0.10512302,0.10277275,0.100283064,0.0974719,0.0943116,0.09087456,0.087359786,0.08395529,0.08076176,0.077743754,0.07485907,0.07224962,0.07031945,0.06958595,0.07021522,0.07171583,0.07300412,0.07306824,0.071518816,0.06884409,0.06617793,0.065891184,0.07148547,0.08758965,0.11585971,0.15349036,0.19168945,0.22265102,0.24306719,0.25718582,0.26976502,0.28067088,0.28231692,0.26741555,0.2376855,0.2061789,0.18690978,0.18279873,0.18232991,0.17105608,0.14381362,0.10891905,0.07967571,0.0659797,0.06988754,0.087656535,0.111917175,0.13478972,0.15085971,0.15953816,0.164124,0.16839288,0.17379433,0.17927541,0.18320857,0.18474479,0.18453802,0.18364733,0.18334864,0.183969,0.18545783,0.18706393,0.18804248,0.18782105,0.1862095,0.18372941,0.18088584,0.17822342,0.17537983,0.17183961,0.16690601,0.16088946,0.15478857,0.15033068,0.14830591,0.14830452,0.14828204,0.1468494,0.14386953,0.1410984,0.13976324,0.13997974,0.14050949,0.14040644,0.13941397,0.13780795,0.1361212,0.13487248,0.13449754,0.13434792,0.13288201,0.12821881,0.119877666,0.108939804,0.097591974,0.08751986,0.0794473,0.07314089,0.0682415,0.06449365,0.061761305,0.059864,0.05894622,0.059946,0.0645395,0.073818706,0.08691457,0.100613855,0.11131653,0.11699661,0.118220724,0.11693659,0.115223266,0.11446068,0.11508606,0.11668006,0.11830852,0.11967198,0.12136638,0.12419406,0.12818976,0.13291965,0.13920994,0.14862248,0.16192763,0.17616399,0.18654399,0.18879664,0.18261556,0.17033017,0.15546744,0.14055063,0.1273476,0.11680391,0.109306015,0.104283005,0.100719064,0.09769118,0.09506396,0.09334389,0.093463905,0.09637182,0.102345794,0.1102314,0.117258064,0.12046459,0.11844196,0.11261105,0.10665239,0.1052948,0.11175781,0.12575285,0.14245872,0.15522094,0.15934825,0.15476759,0.14486064,0.13388778,0.1254016,0.12200134,0.12498205,0.13327576,0.14334919,0.15105651,0.15400855,0.15260023,0.14865144,0.14373338,0.13802643,0.13095434,0.121894635,0.111207284,0.09989036,0.08938647,0.08066335,0.07441917,0.07088786,0.07024472,0.07216518,0.075815596,0.079621665,0.0819248,0.081614114,0.07881892,0.07473475,0.07104391,0.06915469,0.0696488,0.07203289,0.074818216,0.076304086,0.075534195,0.07291647,0.069723845,0.067500904,0.06756401,0.071370415,0.07950034,0.09108266,0.10294318,0.1120094,0.11675611,0.1183515,0.118522234,0.11842165,0.1179933,0.11696591,0.11521838,0.11289903,0.11012459,0.10698697,0.10358071,0.10017354,0.097172,0.09500864,0.09393767,0.09391781,0.09465579,0.09568908,0.09659008,0.09700931,0.09676009,0.09573567,0.09402156,0.09182859,0.08934733,0.08648344,0.082865566,0.07823155,0.07268978,0.066782705,0.061383232,0.057771686,0.0575776,0.061627254,0.06886309,0.07591616,0.07935793,0.0776548,0.07213098,0.06508307,0.05815278,0.05160625,0.04519384,0.03893094,0.03327977,0.028802106,0.02577444,0.024141291,0.024073755,0.02675479,0.03488018,0.05108885,0.07565135,0.10462936,0.13196467,0.1526752,0.1654399,0.17147462,0.17267914,0.17027439,0.16500926,0.1577305,0.14957376,0.1419186,0.13558967,0.13063806,0.12643057,0.122963816,0.12134582,0.12332813,0.12945211,0.137829,0.14494818,0.14799659,0.14708659,0.14470123,0.14378701,0.14549522,0.14910638,0.15271658,0.15454994,0.15350491,0.1495222,0.14337067,0.13635357,0.12990774,0.12527032,0.12309459,0.12313532,0.12437186,0.12562418,0.12672924,0.12941684,0.13779683,0.15645866,0.18746768,0.2259313,0.26029304,0.27629408,0.2664454,0.23464055,0.1955776,0.16630013,0.15950422,0.18082072,0.22818379,0.29321417,0.360656,0.416474,0.4520272,0.46967396,0.47586408,0.47769785,0.47790214,0.4774506,0.47623977,0.47481826,0.4736432,0.47329792,0.47401658,0.47554064,0.47659984,0.47555462,0.4715681,0.465404,0.4588332,0.45291483,0.44646132,0.43582985,0.4171296,0.39102587,0.36524692,0.35226193,0.36004472,0.3864138,0.41994658,0.44908014,0.46801367,0.47719505,0.47911933,0.4757425,0.46814093,0.45717677,0.443666,0.4285197,0.41211343,0.3939009,0.3718255,0.34430945,0.3122051,0.28006884,0.25365898,0.23668395,0.22914858,0.22851562,0.23199075,0.23706485,0.24169481,0.24409586,0.2436824,0.24091811,0.2369225,0.23259814,0.22849412,0.22482008,0.22155242,0.21873946,0.21677883,0.21658401,0.21889584,0.22367455,0.22983193,0.23584996,0.24034266,0.242465,0.24214697,0.24037784,0.23894511,0.23947531,0.24229355,0.24634147,0.2500597,0.25258005,0.25404987,0.2552354,0.2567998,0.25860456,0.25932622,0.25645497,0.24743159,0.23152171,0.21103095,0.19053067,0.17397784,0.16271448,0.15534218,0.14990173,0.14546628,0.14290273,0.1436276,0.1480803,0.15383534,0.15667285,0.15310998,0.143741,0.13263582,0.124476306,0.12122554,0.12190927,0.12444178,0.12768792,0.13191907,0.13782813,0.14528565,0.1534004,0.16216218,0.17376393,0.19154708,0.21645592,0.24494715,0.27065706,0.28926873,0.3011237,0.30970892,0.3174133,0.32368347,0.32625368,0.32400635,0.3178337,0.3101541,0.30326054,0.29884574,0.29765144,0.299708,0.30412832,0.30877113,0.31088474,0.3081162,0.30027875,0.28908804,0.2774001,0.26741192,0.2605048,0.25717434,0.25749072,0.2606095,0.2646946,0.26757088,0.26771876,0.26523185,0.26105964,0.25671196,0.2530602,0.2503688,0.24791981,0.24461162,0.2400416,0.23445731,0.22899415,0.2238235,0.21902752,0.21400426,0.20942692,0.20606075,0.20482014,0.2051192,0.20557427,0.20470928,0.20196341,0.19784667,0.19320911,0.18892151,0.18538022,0.1825553,0.1800315,0.17711769,0.17354308,0.16934784,0.16525984,0.16173919,0.15926369,0.15765773,0.15659006,0.15503258,0.15206367,0.14722835,0.14125371,0.13553357,0.13162625,0.13094123,0.13470764,0.14307036,0.15432166,0.16469753,0.1707797,0.1709292,0.16648607,0.15969485,0.1527677,0.14645521,0.14083523,0.13552803,0.13037395,0.12536024,0.120699435,0.116805784,0.11417431,0.113159336,0.11369472,0.1152753,0.11707621,0.11837026,0.11880877,0.11861091,0.11809221,0.11756375,0.117095076,0.11715501,0.11802736,0.11969719,0.12092493,0.12046778,0.11772924,0.11382365,0.110527314,0.10943323,0.11119627,0.11548829,0.12123054,0.12654196,0.12967984,0.12962632,0.12681328,0.122426964,0.117834456,0.11401629,0.111412965,0.10988745,0.108712666,0.10725441,0.1052688,0.10308904,0.10097712,0.099109806,0.097613335,0.0967648,0.096607625,0.09670263,0.09637025,0.0951986,0.09335547,0.09132928,0.09004447,0.09094542,0.096242,0.10704997,0.12203571,0.13639735,0.14519083,0.14583783,0.1400358,0.13127334,0.12300861,0.117276706,0.115205556,0.116989404,0.12193511,0.12863237,0.13582778,0.14276238,0.14915366,0.15462975,0.15880454,0.16142927,0.1625794,0.16245478,0.16119362,0.15903278,0.1565185,0.15458815,0.15420407,0.15602766,0.16014081,0.16593152,0.17222895,0.17770778,0.18161006,0.18387878,0.18498409,0.18536733,0.18544388,0.18573886,0.18713267,0.19083606,0.19786201,0.20832624,0.22088565,0.23337851,0.24389052,0.25134495,0.25492153,0.253087,0.24405514,0.22747277,0.20640434,0.18637758,0.17265,0.16751266,0.17190267,0.18671985,0.21298933,0.24799788,0.28594473,0.32053375,0.34911397,0.3717624,0.38889527,0.39989424,0.40276372,0.39489815,0.37275586,0.3354691,0.2869684,0.2374115,0.19712001,0.17180324,0.15936881,0.15407361,0.15178098,0.15407555,0.16827863,0.20039201,0.24940078,0.30269673,0.3451493,0.3656353,0.36559507,0.3529249,0.33855796,0.32708645,0.31817293,0.30710006,0.29261583,0.27725816,0.26628172,0.2615365,0.26107737,0.2609035,0.25884628,0.25481674,0.2498371,0.24485153,0.24095248,0.239577,0.24184896,0.24768798,0.25564316,0.2638218,0.27112272,0.2775401,0.2836901,0.28965983,0.29477224,0.2979519,0.2988126,0.29804376,0.29708186,0.29712746,0.298449,0.30037084,0.30194154,0.3026158,0.3025379,0.30209887,0.30164874,0.3013375,0.3015114,0.30258322,0.30484658,0.3081353,0.31196484,0.31584683,0.31940916,0.3223301,0.32390395,0.32328078,0.32000414,0.314986,0.31007245,0.30702934,0.3063755,0.30787995,0.31107876,0.3153702,0.31929,0.3212564,0.32077265,0.31926706,0.31825814,0.3185324,0.31940934,0.32085252,0.32252777,0.3246963,0.3266641,0.32859325,0.3301687,0.3311678,0.33039394,0.32744607,0.3232373,0.32016385,0.3201451,0.3233526,0.3282467,0.33307636,0.33710393,0.34053767,0.34390554,0.3472315,0.3504316,0.35340202,0.35647896,0.35894743,0.3584024,0.35055438,0.33283213,0.30732217,0.28157958,0.2643309,0.26066208,0.27104512,0.29275358,0.32315597,0.3580103,0.392912,0.4224069,0.4441968,0.4579884,0.46588477,0.46889505,0.4662337,0.45428476,0.42863426,0.3872434,0.33455375,0.28241196,0.24679434,0.24009281,0.26391006,0.3072615,0.35259727,0.38639033,0.40475622,0.41155466,0.41040877,0.40053365,0.37736773,0.33837608,0.28675407,0.23241405,0.18717839,0.16008765,0.1539389,0.165383,0.18646502,0.20663334,0.2177369,0.21683194,0.20764093,0.19565757,0.18534337,0.17808048,0.17368996,0.17064567,0.16680706,0.16048826,0.15190296,0.1433114,0.1379415,0.13895565,0.14872386,0.16763018,0.19293569,0.21932887,0.24146481,0.2561539,0.26263294,0.26135576,0.2534555,0.24059165,0.22478001,0.20757878,0.19024871,0.17460887,0.16360812,0.15945713,0.16121201,0.16412146,0.16300462,0.15580301,0.14482842,0.13405533,0.12653321,0.12292769,0.122301616,0.12282037,0.12288055,0.121503286,0.11864046,0.11482379,0.110938065,0.10805575,0.107009254,0.10796508,0.1100067,0.111848645,0.11251346,0.11203953,0.11084709,0.109456,0.10817921,0.1076319,0.10832596,0.11018302,0.11214569,0.11291775,0.111870535,0.10940155,0.10655793,0.104492076,0.103916496,0.10479856,0.10608398,0.10646233,0.10508311,0.10236002,0.09944291,0.09760422,0.097646005,0.099606045,0.1028484,0.105895944,0.10735544,0.10630083,0.103142075,0.09894273,0.09519056,0.09292674,0.092678696,0.0938024,0.09464788,0.09311727,0.08830714,0.0811231,0.074002236,0.06951786,0.069916874,0.07688702,0.0911181,0.11118565,0.13322373,0.15267995,0.16682225,0.17614435,0.18343389,0.19192386,0.20439525,0.22314215,0.25032416,0.28653345,0.32924065,0.3722404,0.40857878,0.43439722,0.4506738,0.46123862,0.4695011,0.47674498,0.4825729,0.48588085,0.48602048,0.483151,0.47849247,0.4732848,0.46802807,0.46212974,0.45460662,0.4451703,0.43488145,0.42607093,0.42073485,0.41913462,0.41941258,0.41976938,0.41966233,0.42006686,0.42113695,0.4223639,0.42260444,0.42193842,0.420615,0.41947356,0.41882828,0.41907513,0.41969904,0.42004707,0.4200268,0.42047295,0.42240906,0.42530718,0.42797065,0.42892757,0.42810822,0.4258043,0.42298436,0.4204181,0.41868898,0.4173875,0.41482124,0.4085822,0.39642355,0.3790882,0.36107388,0.34998313,0.35056463,0.36179152,0.37695396,0.38985875,0.39787447,0.40235087,0.4052631,0.40787995,0.4102706,0.4120711,0.41246012,0.40961155,0.4003322,0.3809444,0.351042,0.31583083,0.28529236,0.26727152,0.2629347,0.26625857,0.270179,0.27048755,0.2668749,0.26024225,0.25132978,0.24088044,0.22980623,0.21906699,0.2084682,0.19809459,0.1887321,0.18278863,0.18136562,0.18381993,0.1876577,0.19140477,0.19436093,0.19627243,0.19604863,0.19326667,0.1884377,0.18345033,0.17983548,0.17884733,0.18073185,0.18522364,0.19097733,0.19626163,0.19951792,0.20015047,0.19872428,0.19684021,0.19655366,0.19872187,0.20167536,0.20202778,0.19752848,0.18926318,0.17996274,0.17183876,0.16561998,0.16281186,0.16516715,0.17287767,0.18219304,0.18801384,0.18734275,0.18151031,0.1742117,0.16903956,0.16837484,0.1730479,0.18249582,0.19348598,0.20174707,0.2031637,0.19761287,0.18891364,0.18467902,0.19273438,0.218575,0.2626387,0.31876862,0.37538207,0.41921857,0.44128206,0.43937078,0.41601196,0.3757262,0.32413498,0.2705703,0.22530754,0.19623838,0.18458849,0.18821241,0.20370226,0.22726957,0.25254688,0.2718453,0.28142118,0.28334543,0.28403428,0.28627184,0.28912893,0.2884432,0.28285322,0.27187863,0.2559065,0.23439269,0.20846026,0.18139322,0.15855998,0.14568983,0.14637423,0.15960605,0.17849009,0.19437565,0.20240997,0.2059923,0.21321873,0.23107357,0.2595995,0.2928077,0.32077304,0.33396947,0.32504138,0.29375625,0.24813356,0.20319612,0.17173702,0.15829194,0.15748571,0.16046852,0.16050078,0.15640861,0.1513891,0.14994629,0.15426536,0.16393965,0.17884892,0.20204456,0.2362222,0.27775487,0.31344044,0.32787243,0.3135275,0.27659532,0.23213255,0.19383495,0.1676104,0.15112501,0.14005564,0.13209654,0.12915431,0.13444448,0.14924963,0.17083389,0.19337742,0.21178551,0.2237537,0.23061855,0.2348947,0.23903656,0.24371171,0.24809313,0.2504716,0.24999602,0.24736704,0.24397562,0.24054493,0.23679024,0.23244649,0.22763658,0.22243978,0.21662338,0.21054037,0.20547159,0.20236011,0.2003718,0.19767153,0.19342287,0.18865569,0.1845148,0.18113555,0.17755036,0.17314559,0.16755931,0.16073263,0.15307142,0.14650728,0.1442937,0.14906542,0.16063197,0.17539018,0.1884586,0.19618797,0.19770546,0.19421248,0.18797965,0.18133907,0.1764765,0.17464185,0.17591985,0.17900594,0.18247108,0.1851453,0.18680419,0.1878099,0.19001658,0.19672684,0.21191011,0.2377642,0.2733291,0.314931,0.35763767,0.39561534,0.42143765,0.4270489,0.40790793,0.36747122,0.3173466,0.27113736,0.2376328,0.21845908,0.21181005,0.2169355,0.23520815,0.26874137,0.31576893,0.36945224,0.41678402,0.44642425,0.45366752,0.44441354,0.4289014,0.41565213,0.40789303,0.40494382,0.40521196,0.4071826,0.4095156,0.4102652,0.40699184,0.39784393,0.3830645,0.36568007,0.35044393,0.3415221,0.34054497,0.34629107,0.35559556,0.36533585,0.3729434,0.37681916,0.37527752,0.36761644,0.35515866,0.34229562,0.3341736,0.33319798,0.33682558,0.33944252,0.33611217,0.3259354,0.3121195,0.30007944,0.2940563,0.2949555,0.30079094,0.30850136,0.31581983,0.3205569,0.32089916,0.31655315,0.31044868,0.30711725,0.30889463,0.31398976,0.31824923,0.31873536,0.31503776,0.30901387,0.30383888,0.30366862,0.31105503,0.32489905,0.3397787,0.35039175,0.35514292,0.35703206,0.35960576,0.36366913,0.36706686,0.36757824,0.36515298,0.36238626,0.36247244,0.36782768,0.37791547,0.39062998,0.40323094,0.41518676,0.42677924,0.4381701,0.4477739,0.45385608,0.45545483,0.4529231,0.44746602,0.44086754,0.43546402,0.43289956,0.4335113,0.43562782,0.43703413,0.43569413,0.43088305,0.42308438,0.41412207,0.4063693,0.40142998,0.39910528,0.39777017,0.39614058,0.39448825,0.3939828,0.39496788,0.39598837,0.3950306,0.3912219,0.38540924,0.37884986,0.37207925,0.3650988,0.35822812,0.3523551,0.34815598,0.34596467,0.34537533,0.34577814,0.345765,0.34465203,0.3422525,0.33971345,0.33734903,0.33549106,0.33374605,0.3327957,0.33260784,0.3333933,0.3344724,0.335943,0.33729732,0.3382806,0.33830747,0.33782494,0.3372184,0.33665076,0.335287,0.33275536,0.32937112,0.32650945,0.32499126,0.3250489,0.32583246,0.3270619,0.3288562,0.3318421,0.33523574,0.33633938,0.3312709,0.31732467,0.29575437,0.27222547,0.2557058,0.25437936,0.2723477,0.30671346,0.3489171,0.38822517,0.4171388,0.43355933,0.43968388,0.43879548,0.43342483,0.42530236,0.41532364,0.40298903,0.38649938,0.36439872,0.33805647,0.31162855,0.2903187,0.27738014,0.2740276,0.27947354,0.29175994,0.30664793,0.31947792,0.32739374,0.33168977,0.33534154,0.3395755,0.3423535,0.34093034,0.33489206,0.32698676,0.32077634,0.3184607,0.3193539,0.32153448,0.32363918,0.32601666,0.3298019,0.33478877,0.33992377,0.34365746,0.3457779,0.3465135,0.3465871,0.34669486,0.34709704,0.3476005,0.3471787,0.3455658,0.34342942,0.34307584,0.3468025,0.35521582,0.36567387,0.37289512,0.37166008,0.35855818,0.3332455,0.29825982,0.25978547,0.22551568,0.20231454,0.19384396,0.20263934,0.23004234,0.2749909,0.3298708,0.38338828,0.42526475,0.45247447,0.46788907,0.47724366,0.48451582,0.49087608,0.49509475,0.4957178,0.49267116,0.48732343,0.4812666,0.4753755,0.47014168,0.46619916,0.46411896,0.46345344,0.46246365,0.45885864,0.45134464,0.44057164,0.4288775,0.41872892,0.410845,0.40394226,0.39558962,0.3849039,0.37245783,0.36033192,0.3489935,0.3381488,0.32658356,0.31510544,0.30586144,0.3016454,0.30311581,0.30814952,0.31310245,0.31523684,0.31437826,0.31187126,0.30953798,0.3080555,0.3074793,0.30643103,0.30284247,0.29414824,0.27958295,0.26131502,0.2441284,0.23329139,0.23233883,0.24281554,0.26336348,0.29027435,0.31676397,0.33596137,0.3413817,0.3300972,0.30392107,0.27249256,0.25002465,0.24737251,0.26407987,0.2886249,0.307716,0.3148158,0.31212673,0.30490887,0.29611585,0.28485665,0.269455,0.25082546,0.23337568,0.22254133,0.22049873,0.22424895,0.22750391,0.22722365,0.2272725,0.23695765,0.26234975,0.30100933,0.3425329,0.37658146,0.39810288,0.40831795,0.4105473,0.40783748,0.40224472,0.39631557,0.39244008,0.39178333,0.39280355,0.3924528,0.38775334,0.3773664,0.36192694,0.34419176,0.32855594,0.3191632,0.31740627,0.3211503,0.3262246,0.32924438,0.32836863,0.32348898,0.31564602,0.30756578,0.3023835,0.30179605,0.30424538,0.30649257,0.3060845,0.3036754,0.30208465,0.30457118,0.31280124,0.32578757,0.34039938,0.3519812,0.35643902,0.35062465,0.33381584,0.308563,0.28170845,0.2624544,0.25703874,0.26461896,0.27766576,0.28791153,0.29113433,0.28734425,0.27914977,0.2699183,0.26487792,0.26739302,0.27771696,0.29117677,0.3039908,0.31462717,0.32406774,0.3316252,0.3356178,0.33558849,0.33416954,0.335228,0.34077832,0.34980598,0.35937706,0.36673358,0.3711871,0.37432185,0.37849692,0.38409725,0.3887987,0.38981438,0.38655272,0.38114533,0.37600717,0.37283245,0.37226328,0.37465027,0.37860394,0.3814894,0.38069537,0.37626907,0.37029493,0.3650563,0.36141944,0.358906,0.35698077,0.35483825,0.35246143,0.34989214,0.34841385,0.34891406,0.35225666,0.35788667,0.364378,0.3693446,0.3709062,0.36891356,0.3645378,0.35911462,0.3528191,0.34593606,0.33946204,0.33502623,0.33357644,0.33513322,0.33941782,0.34558067,0.35212255,0.35682985,0.358542,0.35759392,0.35594988,0.35567927,0.35789928,0.36123928,0.36149466,0.35284075,0.33110952,0.29718438,0.25827035,0.22490261,0.20568956,0.20245086,0.21022533,0.22069299,0.22727823,0.22743392,0.22294617,0.21865036,0.22168346,0.23869397,0.2715973,0.31380415,0.35279238,0.3778243,0.3870914,0.38773635,0.38967848,0.39915267,0.41603017,0.4354187,0.45042095,0.4545933,0.44352996,0.41714215,0.38193396,0.35001075,0.33296296,0.33432928,0.34833512,0.36563376,0.38063458,0.39266562,0.4033276,0.41286573,0.4207431,0.42621064,0.42995515,0.43316624,0.4370506,0.44125345,0.4438835,0.44255397,0.4361647,0.4262167,0.4160243,0.40888378,0.40451345,0.3985375,0.3839155,0.35719028,0.32148913,0.287336,0.2662865,0.26510885,0.28121486,0.30524024,0.32712016,0.34211197,0.3523705,0.36417577,0.3840915,0.41526636,0.45522225,0.49605986,0.52850693,0.5473618,0.5541287,0.55428046,0.55200857,0.5462286,0.5308443,0.4993322,0.4509337,0.3942685,0.34318924,0.3084292,0.29089138,0.28376925,0.279386,0.2750945,0.27363062,0.27959108,0.29547226,0.31867513,0.34192312,0.35590944,0.35417542,0.33608732,0.30714014,0.27593347,0.25003338,0.2333344,0.22623475,0.22814672,0.23895548,0.25790074,0.2817838,0.30514643,0.32343006,0.335304,0.34266496,0.3481358,0.35320556,0.35793075,0.36199847,0.36540636,0.3683273,0.3704923,0.3711557,0.369849,0.36674348,0.3628097,0.358806,0.35547057,0.35310522,0.35236856,0.3532631,0.35528067,0.356927,0.35692322,0.3547374,0.35070178,0.34643993,0.3437828,0.34491953,0.34981775,0.35709497,0.3637888,0.3684082,0.37108645,0.37433627,0.38012516,0.3886368,0.3962892,0.39900005,0.3937179,0.38114896,0.36369193,0.3446628,0.32677588,0.3119818,0.3014214,0.294443,0.28924137,0.28326607,0.275798,0.2682493,0.26316395,0.26168975,0.26247624,0.26320672,0.26218224,0.25945297,0.25551888,0.25094828,0.24703316,0.24723423,0.25696814,0.27939466,0.31224015,0.34718573,0.37619153,0.39579448,0.4085836,0.41841367,0.42782226,0.43692017,0.44497845,0.45051584,0.45226827,0.45027423,0.44671658,0.4443234,0.44397902,0.44428444,0.44338262,0.44100046,0.43814084,0.43568814,0.4333627,0.4304339,0.42676473,0.42327312,0.42113912,0.42051005,0.4205325,0.42031398,0.42038968,0.42118564,0.42098308,0.41431698,0.39538935,0.3627554,0.32319304,0.28948295,0.2742995,0.28263298,0.30943906,0.34210125,0.36765298,0.37679303,0.36706522,0.34179795,0.31062797,0.28525543,0.27481797,0.28042808,0.29635432,0.31512606,0.33324012,0.3515552,0.37188092,0.39308044,0.41151142,0.42370036,0.4295254,0.43167517,0.43359652,0.436789,0.4406027,0.4435147,0.44412693,0.44042388,0.42818174,0.40322196,0.3654542,0.32233807,0.28414342,0.25771812,0.24205196,0.23267764,0.22671282,0.22606654,0.2350967,0.2566497,0.2886833,0.32333556,0.3511547,0.366233,0.3701053,0.36862218,0.36742198,0.3680029,0.36896804,0.36828896,0.36579433,0.3627076,0.36071324,0.3602476,0.36089134,0.36169037,0.36214325,0.36173573,0.35998464,0.35639253,0.3512163,0.3456246,0.34136105,0.33967555,0.34058154,0.34281674,0.34468153,0.34501764,0.3437014,0.34150848,0.33958265,0.3388203,0.33933994,0.34025386,0.34024897,0.3385861,0.33598563,0.33429337,0.3351166,0.33857834,0.34325102,0.34774554,0.3518927,0.35679698,0.3632983,0.37092873,0.37818408,0.38353536,0.38661253,0.38796887,0.38880587,0.3898157,0.391163,0.39240122,0.39308462,0.39273274,0.39091542,0.3872069,0.381591,0.3745434,0.36708522,0.35995933,0.35327354,0.3460985,0.33737218,0.3260601,0.31148466,0.29359868,0.2747835,0.26134267,0.2614756,0.28034773,0.31469986,0.353603,0.3825893,0.39040148,0.37248906,0.33456507,0.29162657,0.26327178,0.2622973,0.2878128,0.32602027,0.36131766,0.38451433,0.39539507,0.3979731,0.39692628,0.39632928,0.4000217,0.41107,0.4290175,0.44933972,0.4647453,0.4708865,0.46830902,0.46227643,0.45722044,0.4547255,0.45258757,0.44786903,0.43843558,0.42522967,0.41241455,0.405714,0.40838826,0.41835523,0.42993125,0.4379134,0.44104707,0.44083452,0.43930805,0.43728995,0.4349723,0.43275225,0.43115255,0.4305675,0.43078032,0.4314289,0.4320468,0.43228522,0.43199608,0.43131253,0.43072557,0.43060407,0.4308461,0.4308734,0.42997956,0.42796788,0.42467377,0.42001978,0.4138966,0.40703258,0.400502,0.39491072,0.38977456,0.38436994,0.37845936,0.3718041,0.36287943,0.34893927,0.32812563,0.3019397,0.27619454,0.2591476,0.258021,0.27470076,0.30383253,0.3346549,0.35710803,0.36697114,0.36698055,0.36271784,0.35852572,0.35507894,0.34991357,0.33846223,0.31722715,0.28665188,0.25262606,0.22282536,0.20298351,0.1952516,0.20135371,0.2221845,0.2556109,0.29257786,0.3221422,0.33721006,0.3392844,0.33294123,0.32040754,0.29889855,0.2656286,0.22279084,0.1784157,0.14154269,0.11694169,0.10370987,0.09805071,0.096508175,0.09711444,0.098771475,0.10070468,0.10238502,0.10351562,0.10370534,0.10251418,0.09966675,0.095369585,0.090070285,0.08431417,0.078638405,0.07358876,0.069444306,0.065938085,0.062381502,0.058174085,0.053272437,0.04818638,0.043557763,0.03982153,0.03705281,0.03517281,0.034028366,0.03349938,0.033417627,0.03362258,0.034021538,0.034667615,0.035680596,0.037062805,0.038553167,0.039735455,0.040275797,0.040158134,0.039606143,0.039005965,0.039322387,0.042648535,0.051773388,0.06717966,0.08436849,0.09513401,0.09478692,0.08829973,0.088754185,0.10663905,0.14146413,0.18178098,0.2157061,0.23775472,0.25032333,0.2571367,0.26063946,0.26152346,0.26105174,0.26065537,0.2608557,0.26099005,0.26028344,0.2588756,0.25776377,0.25790784,0.25988072,0.2635295,0.26850548,0.2740446,0.27916417,0.2820426,0.28042066,0.2724867,0.25880653,0.24272414,0.22898209,0.220245,0.21579705,0.21213607,0.20652449,0.19788806,0.18716167,0.17547677,0.16452713,0.15583436,0.15038963,0.14754038,0.14581874,0.14425826,0.14290698,0.14153332,0.13813347,0.13012108,0.11723592,0.10429156,0.09915742,0.107610814,0.12860076,0.15474524,0.17792273,0.19393365,0.20364554,0.20946653,0.21298778,0.21413292,0.21245404,0.20781063,0.20054674,0.191198,0.18018156,0.16793428,0.15529089,0.14402185,0.13594137,0.13166094,0.1293549,0.12629755,0.1209077,0.11437509,0.109452985,0.10841329,0.11160743,0.1174413,0.123475276,0.12728144,0.12736012,0.123083584,0.114918254,0.10402835,0.092463575,0.0823055,0.075269096,0.07176667,0.07127374,0.072453976,0.074105136,0.07533429,0.07596633,0.07604817,0.07570216,0.0747858,0.07317454,0.07082007,0.06787688,0.06453334,0.060980424,0.057381973,0.053932536,0.050813004,0.0481056,0.045740213,0.0435348,0.041332055,0.03908081,0.03685348,0.03477877,0.033035237,0.03184804,0.031423975,0.031756174,0.03249872,0.03309277,0.0330704,0.03231148,0.030993527,0.029427929,0.027828118,0.026288444,0.024780912,0.023298187,0.021889074,0.020691859,0.019809792,0.01924594,0.018883968,0.018605107,0.018372746,0.018228864,0.018202895,0.018226812,0.018161526,0.017866878,0.017278185,0.01640408,0.01529372,0.014012858,0.012634553,0.011250302,0.009974779,0.008939799,0.008267929,0.008493003,0.011300695,0.02031356,0.039385226,0.06935285,0.10470691,0.13563274,0.15333004,0.15551944,0.1462205,0.13194239,0.117625326,0.10545806,0.095773555,0.08801722,0.08159987,0.07606246,0.071429335,0.0678463,0.06554299,0.06445181,0.06437814,0.06483228,0.06530138,0.065252125,0.064465225,0.06293869,0.060945228,0.059087306,0.05868907,0.061752062,0.069694676,0.08161446,0.09348264,0.1001989,0.098599546,0.08951645,0.07679864,0.065309145,0.05918854,0.060968753,0.07044246,0.08398256,0.09587419,0.10170583,0.1009525,0.0963586,0.09101156,0.08636307,0.082480974,0.079152174,0.07626364,0.07353594,0.07065293,0.06753331,0.06449459,0.061817598,0.059579063,0.05758973,0.055696845,0.053791553,0.05185024,0.04986474,0.047914475,0.046391238,0.04605793,0.04810296,0.0529881,0.059915245,0.066371076,0.070280395,0.070975564,0.069783546,0.06797684,0.066139914,0.06414098,0.062326327,0.0614334,0.061938453,0.06323823,0.06398953,0.0629454,0.05985051,0.05540988,0.0507106,0.04652765,0.043046117,0.04012805,0.037561376,0.035306368,0.033333477,0.031593263,0.029921161,0.02815934,0.026219463,0.024121245,0.022015309,0.020088935,0.01853306,0.017387878,0.016582211,0.015967222,0.015472211,0.01512514,0.015007485,0.015160798,0.0155461505,0.01608076,0.016675727,0.01726781,0.017804282,0.018255277,0.018617062,0.018941067,0.019266956,0.019582013,0.019765956,0.019711435,0.019378865,0.018856503,0.01825525,0.017686715,0.017222706,0.016908722,0.016735045,0.01664493,0.01657076,0.016454777,0.016249524,0.015911838,0.015427503,0.014836836,0.014215641,0.013646078,0.013159658,0.012741052,0.0123237325,0.011852014,0.011300954,0.010703567,0.010114533,0.00957372,0.009085513,0.008630056,0.008208972,0.007844599,0.0075726784,0.009186853,0.019522049,0.05304468,0.124673225,0.23486109,0.35808408,0.453485,0.49171293,0.47506177,0.43121454,0.38980553,0.36538592,0.35757813,0.3601935,0.36797765,0.37751958,0.38707587,0.39548406,0.4030362,0.4111875,0.42291224,0.43999004,0.46014643,0.47672486,0.48249876,0.47612038,0.46300098,0.45211482,0.44884872,0.45276657,0.45904538,0.46227634,0.45984375,0.45223427,0.44391263,0.43991223,0.44375297,0.45421278,0.46817937,0.48438048,0.50442356,0.5276559,0.54588324,0.54591626,0.51982176,0.4722571,0.41899085,0.3766528,0.3547919,0.3537133,0.3672519,0.3878541,0.40864894,0.42628968,0.43967068,0.44954142,0.45725977,0.4635105,0.46929756,0.47243187,0.4706171,0.46024808,0.4431698,0.42370355,0.40802038,0.39847425,0.39397728,0.39202094,0.38960326,0.38544837,0.37867412,0.37118873,0.3652792,0.3624957,0.36335996,0.36910677,0.3862845,0.41975713,0.46682838,0.5081585,0.52101046,0.4934132,0.4368085,0.3752941,0.32977033,0.3068289,0.30153558,0.3056942,0.31308177,0.32094988,0.32866135,0.3369091,0.34661296,0.35838225,0.37253776,0.38793632,0.40213415,0.4106202,0.41013858,0.40038642,0.3851442,0.37004307,0.35988328,0.35732755,0.36173287,0.3694528,0.37550178,0.37672457,0.37440827,0.3727155,0.37521625,0.3821433,0.39321712,0.41096917,0.4397415,0.47684947,0.50825745,0.51522624,0.48959005,0.4404544,0.38672948,0.34369758,0.31614706,0.30032277,0.28978387,0.2798992,0.27076006,0.2657456,0.26774785,0.2763306,0.28924897,0.30706593,0.33104837,0.3594104,0.38273773,0.39222288,0.3854601,0.37006664,0.3550721,0.34530473,0.3395528,0.33415043,0.3279219,0.32236287,0.32162237,0.3275356,0.3391656,0.3521714,0.36381242,0.37627712,0.39749297,0.43362454,0.47911486,0.51531744,0.5218816,0.49420488,0.44585872,0.3988254,0.366527,0.35103628,0.34649464,0.3472958,0.34940067,0.35085157,0.3509716,0.3506761,0.35237476,0.35889864,0.3729038,0.39261663,0.4118364,0.42040324,0.41428995,0.39712057,0.37953404,0.3685929,0.36607435,0.36884257,0.3736627,0.37781262,0.37993416,0.3804532,0.38167536,0.38542804,0.3915266,0.39892414,0.4100252,0.43037423,0.4626732,0.49762854,0.51618195,0.50166935,0.45542338,0.3961242,0.34755695,0.32252383,0.32019922,0.33188364,0.3498441,0.3698838,0.39002466,0.40859208,0.42363656,0.43540832,0.44596675,0.45944047,0.47546574,0.48972726,0.49386492,0.48553756,0.4687287,0.45245922,0.44237033,0.43840614,0.4371364,0.43403408,0.427749,0.41859186,0.41069457,0.40807852,0.4133586,0.42662022,0.44803908,0.4826556,0.5336244,0.5935106,0.63602644,0.632719,0.5751082,0.48630333,0.40382883,0.353868,0.33941388,0.3481582,0.36612284,0.38480985,0.40054035,0.41218802,0.4199498,0.42475975,0.4298348,0.43878695,0.45471892,0.47365642,0.48635325,0.4816769,0.4582789,0.4246448,0.39539716,0.3791573,0.3765694,0.38147393,0.38778338,0.3919985,0.39326084,0.39162812,0.38706946,0.3804523,0.3760842,0.38243937,0.41064596,0.4642814,0.531618,0.5852902,0.6000996,0.5708306,0.51586014,0.4623009,0.42810568,0.41779506,0.42503747,0.44163707,0.45818627,0.47097078,0.47806275,0.48169854,0.48152816,0.47960475,0.47878686,0.481259,0.48105225,0.46420988,0.41945922,0.34846237,0.26666167,0.19197614,0.13498966,0.09675887,0.07312318,0.05898613,0.050198685,0.043847527,0.03843127,0.03339139,0.029326446,0.031061491,0.05104342,0.10860822,0.21317752,0.34871307,0.46969548,0.53181773,0.52022576,0.46099338,0.39409196,0.3488665,0.33289814,0.3427337,0.37133884,0.4104574,0.45001867,0.4824315,0.50587946,0.5235295,0.53851134,0.55215913,0.56269884,0.56669253,0.55921215,0.5399123,0.5153767,0.4974841,0.49403182,0.50385267,0.51890665,0.5313654,0.5376446,0.53778774,0.5328944,0.52510566,0.5181108,0.5173977,0.52746826,0.5503443,0.5851063,0.62593895,0.6603064,0.6695664,0.64133406,0.5790425,0.50360924,0.43777573,0.39393342,0.371151,0.36353812,0.36654124,0.3767197,0.39006856,0.40135136,0.40684476,0.4064395,0.40414703,0.40829632,0.4236103,0.448337,0.4690083,0.47474158,0.46163073,0.4406052,0.42285684,0.41628256,0.41863897,0.4263325,0.43489012,0.44206998,0.4451603,0.44371536,0.44064894,0.44146848,0.45267522,0.47940707,0.52539736,0.584759,0.63915926,0.6611689,0.6352952,0.5692187,0.49129024,0.42780015,0.39073178,0.37577716,0.37481964,0.38022557,0.38762048,0.3924489,0.39243057,0.38821614,0.38563713,0.39205685,0.41260687,0.44267145,0.47010002,0.48017338,0.46905482,0.44384718,0.41786072,0.3987625,0.3877032,0.38283634,0.38337472,0.3880799,0.39320067,0.39411247,0.39009783,0.38555732,0.38822362,0.4050118,0.44219813,0.501674,0.57517296,0.63929296,0.664618,0.63640594,0.56510335,0.48071408,0.40937555,0.3642522,0.34419858,0.34416303,0.35690418,0.37501982,0.39223573,0.40586856,0.41699716,0.42809168,0.44184148,0.45984712,0.47955978,0.49371934,0.49296936,0.47523654,0.44625142,0.41732886,0.3954052,0.38314077,0.37938905,0.38331032,0.3935792,0.40769133,0.42193568,0.43289948,0.4387879,0.4419063,0.44920173,0.47296587,0.5209067,0.5871257,0.64680433,0.6732004,0.6556741,0.60913485,0.5580507,0.5205912,0.5002679,0.493873,0.4966835,0.5053923,0.5163806,0.52689236,0.5351615,0.5407255,0.5437574,0.54649115,0.5514753,0.5599552,0.56793493,0.56999636,0.5621105,0.5461747,0.52668387,0.508626,0.49447408,0.48489663,0.47891554,0.47432134,0.46877337,0.46172455,0.45652792,0.45837876,0.47201467,0.49903658,0.5401012,0.5912233,0.64124566,0.66974705,0.6611934,0.6162217,0.55542505,0.50232106,0.47039822,0.45807555,0.457942,0.46217468,0.46543658,0.4641671,0.45858094,0.45289674,0.4528204,0.46167743,0.47894502,0.50083214,0.52137023,0.53266555,0.5287381,0.50814563,0.47716627,0.4448843,0.4211134,0.4103652,0.4132044,0.42381766,0.4349922,0.43996128,0.4377571,0.43234587,0.43070415,0.43973586,0.46493426,0.5100151,0.5705512,0.63002545,0.66168785,0.646538,0.5870338,0.5077392,0.4370031,0.39150766,0.37236318,0.37212133,0.38113832,0.3909016,0.39557013,0.39398134,0.38875306,0.3850775,0.388124,0.40314516,0.4299399,0.46153188,0.4825062,0.4824759,0.460394,0.42861715,0.39950562,0.3814727,0.3745533,0.3753854,0.37903497,0.38177642,0.38244808,0.38209882,0.38217422,0.38367534,0.38976276,0.4089869,0.45219842,0.51949954,0.5909233,0.63041496,0.6121991,0.53825223,0.44106162,0.3569895,0.3094609,0.29872417,0.31391692,0.33940467,0.36375418,0.38106248,0.39259055,0.40364346,0.41939571,0.44181415,0.469501,0.4962137,0.5134776,0.5120998,0.4917314,0.46000516,0.43123722,0.4144288,0.4117198,0.41775438,0.42722574,0.43681237,0.44663692,0.45771787,0.47096452,0.48604202,0.50237435,0.52098346,0.54627603,0.5821224,0.6243863,0.6572712,0.661985,0.6320078,0.5785946,0.52214676,0.47700378,0.44775286,0.43352482,0.4343078,0.44883332,0.47279525,0.49930725,0.5238982,0.5453464,0.5645621,0.5816744,0.59577173,0.6039749,0.60299176,0.5906534,0.56956404,0.5451146,0.52377135,0.5088622,0.5018267,0.50149626,0.50588226,0.5118312,0.5162667,0.51657337,0.5124066,0.50667405,0.50559825,0.5153909,0.54084927,0.5804603,0.6248041,0.6541911,0.6508116,0.61023206,0.548899,0.49082324,0.4530404,0.43678546,0.43363714,0.43340793,0.42990565,0.42240885,0.41482374,0.41275528,0.41990814,0.43620372,0.46004543,0.48758292,0.51306957,0.52666825,0.5218828,0.50011057,0.47226536,0.45022607,0.43917236,0.43778697,0.44197032,0.45038244,0.46171775,0.4746232,0.48655796,0.4970431,0.5073645,0.5194531,0.5361524,0.5612905,0.59677553,0.634142,0.6535581,0.6356681,0.5795297,0.507061,0.4477503,0.4186171,0.41616544,0.42505386,0.4312195,0.42913273,0.4216851,0.4148306,0.41441712,0.42375395,0.44398284,0.47354186,0.5056203,0.5296331,0.5338402,0.5151543,0.4807587,0.4452497,0.41942334,0.4051485,0.39768514,0.39306316,0.3923694,0.39932588,0.4152838,0.43666735,0.45724785,0.4729626,0.4856545,0.50332934,0.5355284,0.5837612,0.634734,0.6639049,0.6530383,0.6040817,0.53884447,0.48165938,0.4461919,0.43250516,0.43433186,0.44378403,0.45429286,0.46157682,0.46560836,0.46905622,0.47512293,0.4845592,0.49666563,0.5081187,0.5147645,0.5110561,0.49653772,0.47537974,0.45647708,0.44513896,0.44251904,0.44624534,0.45495573,0.46872726,0.48651206,0.5051918,0.51988405,0.52840036,0.53213525,0.53714794,0.5511365,0.58028704,0.62168187,0.6593031,0.670764,0.6430147,0.5851309,0.51982373,0.4687704,0.43885383,0.4290241,0.4345092,0.4521979,0.47502986,0.49494305,0.50519246,0.5065971,0.5059585,0.5120988,0.52909875,0.55240864,0.57137704,0.5754643,0.5627086,0.5394695,0.51571435,0.49730393,0.48459196,0.47616494,0.4714646,0.4716293,0.47541776,0.48032686,0.48328125,0.4842949,0.48552084,0.49217212,0.51181096,0.5507572,0.6046223,0.6532951,0.6711809,0.6466892,0.5929906,0.53599995,0.495355,0.47398922,0.46574628,0.4648508,0.46956876,0.47870126,0.48907685,0.49795637,0.50484484,0.51242214,0.5224085,0.5352395,0.5476079,0.555844,0.55543417,0.5466991,0.532837,0.52004975,0.5113824,0.5077703,0.5082391,0.5125498,0.51970965,0.5273962,0.53226274,0.53239703,0.5286822,0.5249947,0.52778465,0.54562163,0.58419746,0.6377504,0.6840153,0.6956009,0.65982336,0.5910062,0.51903355,0.46834078,0.44515684,0.442243,0.45029846,0.4631207,0.47810006,0.49295092,0.5074033,0.52146465,0.53647155,0.55225056,0.56759936,0.5796664,0.5847015,0.5811408,0.57031924,0.55788606,0.54856324,0.5445227,0.5439267,0.5439198,0.5432624,0.5414551,0.5390144,0.5348396,0.5292113,0.5235037,0.52156764,0.5273207,0.5413639,0.5588515,0.5690291,0.5623226,0.5368264,0.5007454,0.4665811,0.4426398,0.4321824,0.43406007,0.44650397,0.4643482,0.48068663,0.48921108,0.48820272,0.48126575,0.47375444,0.47147918,0.47737285,0.49101424,0.50592947,0.5132232,0.5070916,0.4897579,0.4672077,0.44302377,0.41455176,0.38072178,0.34519848,0.31746197,0.30238667,0.29963863,0.30385938,0.3125073,0.32478768,0.34375164,0.37420666,0.4242415,0.49485096,0.5738885,0.6341226,0.6525951,0.6250593,0.5706365,0.5149736,0.4761523,0.45957062,0.4631441,0.48160306,0.50693035,0.5300205,0.54435194,0.5491139,0.5489717,0.54984957,0.5569854,0.56994575,0.5838693,0.5890517,0.5811649,0.5629706,0.54552436,0.53701466,0.53891325,0.5452159,0.54986924,0.55089617,0.55010235,0.5495004,0.54909354,0.5480983,0.54705757,0.5495226,0.5618574,0.5902931,0.63294214,0.6750367,0.6925586,0.6699075,0.6113657,0.54045564,0.4818702,0.44898129,0.44125295,0.45212266,0.47421673,0.5001858,0.5232358,0.5395381,0.5502532,0.5591158,0.5686522,0.5781996,0.58562356,0.58861476,0.5860658,0.5779876,0.56675243,0.5561783,0.5500119,0.5492382,0.552049,0.55550784,0.55793786,0.55904317,0.55935925,0.5597465,0.56190944,0.5678015,0.579384,0.5983472,0.6254866,0.65627205,0.6784423,0.6759539,0.6414477,0.5836415,0.5230015,0.4780502,0.4558741,0.4532083,0.4624144,0.4767106,0.49089813,0.50211334,0.51013434,0.5171502,0.5264093,0.5397038,0.5562761,0.5712917,0.5780649,0.57164407,0.553679,0.5321832,0.5165012,0.5116679,0.5163345,0.52585334,0.5358553,0.5441242,0.550772,0.55639005,0.56236297,0.56878215,0.5762112,0.5858667,0.6021537,0.6286235,0.6610846,0.68430924,0.6805752,0.64489037,0.59060043,0.53971267,0.5077792,0.49689022,0.5007305,0.51108116,0.5230287,0.5339461,0.5434999,0.55132794,0.5576933,0.56340677,0.56978065,0.57756215,0.5844144,0.58708113,0.58265525,0.57317775,0.56291705,0.55628306,0.553621,0.55242324,0.5511028,0.5501687,0.551853,0.5549529,0.55623746,0.5528133,0.54578656,0.54084945,0.5446029,0.5656838,0.6053393,0.6547945,0.6888874,0.6856186,0.6401276,0.57373327,0.51424974,0.47915968,0.46824571,0.4732904,0.48571,0.49894595,0.5074863,0.5086758,0.50359267,0.4961574,0.49006477,0.48958644,0.49719992,0.51202244,0.5257203,0.52971643,0.5209515,0.5068204,0.4966984,0.49637794,0.5040297,0.5152505,0.52528185,0.5321459,0.5352501,0.53626704,0.5367475,0.5385041,0.54312617,0.55529374,0.58160615,0.62382,0.66940576,0.69273823,0.6718059,0.60679466,0.52179796,0.44798955,0.40377834,0.39043522,0.39871922,0.41894984,0.44324407,0.46575952,0.48223552,0.49157286,0.49658147,0.5019658,0.5118583,0.5251053,0.5360895,0.5364012,0.5236291,0.50187236,0.4809195,0.46688518,0.4613677,0.46185133,0.4671403,0.4774815,0.4928836,0.51087046,0.5264872,0.53572136,0.53798795,0.5384311,0.5459008,0.5689676,0.6075408,0.64819837,0.66816396,0.65074587,0.5984011,0.5318704,0.4748894,0.4400088,0.426465,0.4275832,0.43746755,0.45197225,0.46738192,0.48031628,0.48934916,0.49576774,0.5026359,0.51266885,0.52510494,0.5355799,0.5377219,0.52976876,0.5155743,0.50343037,0.49813494,0.49933162,0.5024547,0.50425607,0.5041072,0.50288576,0.500675,0.49757203,0.4949198,0.49635825,0.5065823,0.53126055,0.57383233,0.62844753,0.67577004,0.68900293,0.65454966,0.5821914,0.50158685,0.43924892,0.40785667,0.40412104,0.41938838,0.4435936,0.4683374,0.4875947,0.4990299,0.503519,0.5034004,0.50207967,0.503906,0.511224,0.52227694,0.5303945,0.53134936,0.52553886,0.5187836,0.5142998,0.5122571,0.50981504,0.5063372,0.5021374,0.49811205,0.4941003,0.4912053,0.49116346,0.4965134,0.50982445,0.53666276,0.58138806,0.6387004,0.68667215,0.69722444,0.6576101,0.5816488,0.5008167,0.4411465,0.4127222,0.4104428,0.42499757,0.44678244,0.46901986,0.48746705,0.5014029,0.51160425,0.51876265,0.5230546,0.5250146,0.52504677,0.5224351,0.5158705,0.5063292,0.49732164,0.49267098,0.49256432,0.4944794,0.4959384,0.49701443,0.49921563,0.50318056,0.5084781,0.5140935,0.51932544,0.52450705,0.5331807,0.55298835,0.5881381,0.62980133,0.65431327,0.6397385,0.5840381,0.5080673,0.4392662,0.39481965,0.37795696,0.3846179,0.40820166,0.4403131,0.4708602,0.49308658,0.50596637,0.5138393,0.52075225,0.5296472,0.5408132,0.553334,0.56284654,0.56558156,0.5612562,0.55541104,0.55388266,0.55821913,0.5652761,0.57183695,0.5773063,0.5826853,0.58806354,0.59314084,0.59824723,0.6047098,0.6135669,0.6262713,0.6451799,0.6701825,0.6934083,0.69979733,0.6775783,0.62957627,0.5723358,0.52483374,0.49573207,0.48299408,0.4785212,0.47670755,0.47497818,0.47512195,0.4787229,0.48699155,0.4987119,0.51246667,0.5277253,0.5426621,0.5544987,0.55777067,0.5521858,0.5410363,0.531822,0.52780443,0.52853125,0.530971,0.5331609,0.53510803,0.53720444,0.5401414,0.5437339,0.5471669,0.54999334,0.55416745,0.56673783,0.59586835,0.6425609,0.6911928,0.7129546,0.68401605,0.6042436,0.50093776,0.40979192,0.3554957,0.34189007,0.35998008,0.39574537,0.43679115,0.4733138,0.5000344,0.51635987,0.5253077,0.5321551,0.5419827,0.55648917,0.57205343,0.5806131,0.5778093,0.5648894,0.55025685,0.54001546,0.53798556,0.5431084,0.55463785,0.5701869,0.5864982,0.5991513,0.60510534,0.6047335,0.6009865,0.5995671,0.60686827,0.6278293,0.6586017,0.6840865,0.6835265,0.64564115,0.57744044,0.5015214,0.4415488,0.41180742,0.41194072,0.4317322,0.4567163,0.47679472,0.4894056,0.4986845,0.5094371,0.52300304,0.5373928,0.5505863,0.56129485,0.5682526,0.56878895,0.5632724,0.55528563,0.55076814,0.55081576,0.5526013,0.55203795,0.5486464,0.54355216,0.5369182,0.5276851,0.51701313,0.50884867,0.50798166,0.51720816,0.5395972,0.5767247,0.6235375,0.6626528,0.6721778,0.64298916,0.58769685,0.5328889,0.49843845,0.4884405,0.49365687,0.50413316,0.5142508,0.5233634,0.53177696,0.5397038,0.5465638,0.55186516,0.5556864,0.5583895,0.55949914,0.5563051,0.5463783,0.5306642,0.51494104,0.50557095,0.50480247,0.5094878,0.51517606,0.5201938,0.526444,0.53601176,0.54835707,0.560451,0.56881046,0.5724178,0.5743132,0.58270925,0.6046707,0.6363167,0.65792227,0.6463182,0.595578,0.5242908,0.46189725,0.4265467,0.418911,0.429117,0.4482895,0.469954,0.49003187,0.50544757,0.51655513,0.5252873,0.5340252,0.54382104,0.5541022,0.5626445,0.5649333,0.5584591,0.5442334,0.52895576,0.5190229,0.51851255,0.526206,0.5390776,0.55267584,0.5635496,0.5690356,0.5690384,0.56566864,0.56203705,0.5617576,0.56937313,0.59209937,0.63315225,0.6852398,0.7264907,0.7349951,0.70303875,0.64492893,0.5840721,0.5397122,0.5191108,0.51961803,0.5329437,0.54975265,0.5675619,0.5907592,0.623723,0.6575055,0.6729641,0.65529203,0.6077419,0.5473724,0.48893222,0.4387643,0.39615586,0.36239254,0.33759066,0.32154676,0.31174183,0.30799854,0.3102713,0.31748152,0.32582697,0.33241782,0.3376681,0.34637782,0.36583313,0.40422466,0.4667554,0.5481535,0.6287655,0.6809512,0.68814486,0.6565531,0.6111817,0.5764749,0.56297517,0.56656235,0.5776427,0.5886922,0.5966489,0.6015463,0.605241,0.60976386,0.61689216,0.62620586,0.63648224,0.6453149,0.65183204,0.65483254,0.65514827,0.65345246,0.6523835,0.6526734,0.655255,0.65954244,0.66658044,0.6758528,0.68624806,0.6946423,0.69966525,0.7010069,0.70044416,0.70002747,0.70394367,0.7152152,0.73120624,0.7376122,0.7155912,0.65623575,0.5730945,0.49497196,0.44653678,0.4336749,0.44557992,0.46772516,0.49044523,0.51019436,0.52648884,0.5401458,0.5529185,0.56582934,0.5791165,0.59141487,0.6007001,0.604534,0.6011739,0.59233207,0.5817964,0.5747103,0.5721508,0.5731537,0.57457644,0.57537776,0.57561404,0.5767835,0.5809012,0.5892203,0.60176677,0.6157759,0.6294656,0.6433058,0.6602599,0.67779374,0.6856709,0.66977197,0.62665075,0.5669845,0.5114122,0.47407308,0.45877472,0.45902455,0.46815738,0.481174,0.49654102,0.5125918,0.52719456,0.53813344,0.545157,0.55080557,0.5572826,0.5636069,0.5653537,0.5597508,0.54946953,0.5410309,0.5390213,0.54273516,0.5485392,0.55416054,0.5596316,0.5650086,0.56872463,0.56882495,0.5650839,0.5593162,0.5542589,0.55231863,0.5549836,0.5619037,0.5710163,0.5792508,0.5850489,0.58844155,0.5905158,0.59214574,0.59402984,0.5978885,0.60393625,0.6114352,0.6167514,0.6187597,0.61781716,0.6167939,0.61632085,0.61397904,0.60370153,0.5773992,0.5299453,0.46335575,0.38863078,0.31934583,0.26473752,0.22655743,0.20219077,0.18849917,0.18396807,0.1882345,0.20107938,0.21965607,0.2387451,0.2525002,0.25883904,0.25960886,0.25899234,0.26040056,0.26511654,0.27159813,0.27565983,0.27306473,0.2622436,0.24579734,0.22771327,0.2108197,0.19554335,0.18193401,0.17054343,0.16327673,0.16280556,0.17271061,0.19448918,0.22530375,0.2570012,0.28142154,0.29421628,0.29682872,0.2926369,0.28525087,0.2769833,0.2693881,0.2618688,0.2515966,0.23584644,0.21650262,0.20218134,0.20262188,0.2205078,0.2464991,0.2662318,0.2691102,0.2556871,0.23421513,0.21503066,0.20299716,0.19633912,0.19029349,0.18266767,0.17558295,0.17159595,0.17089017,0.17117931,0.1707424,0.16913848,0.16702838,0.16522807,0.16480297,0.16619904,0.16869225,0.17057747,0.17092235,0.17037725,0.17038763,0.17153363,0.17327732,0.17485565,0.17603008,0.17682962,0.17721742,0.1771924,0.17689095,0.17573385,0.1718211,0.16258992,0.14732091,0.12835337,0.110147394,0.09627577,0.088509314,0.08803672,0.097256355,0.11864004,0.15094472,0.18751049,0.21823065,0.23570548,0.23830463,0.23023003,0.21743512,0.2050334,0.19582821,0.19084598,0.19004159,0.19264245,0.19730271,0.2019812,0.20488633,0.20493037,0.2021578,0.19707413,0.19074678,0.1845824,0.18015654,0.17818725,0.17835647,0.17960246,0.18106693,0.18223256,0.18297957,0.1832975,0.18331498,0.18307088,0.1825848,0.18191023,0.18131731,0.18097298,0.18079658,0.18032004,0.1791399,0.17699564,0.1740749,0.17081761,0.16792822,0.16587399,0.16471268,0.1639976,0.16310555,0.16148342,0.15887089,0.15544215,0.15176542,0.14845282,0.1457568,0.14346625,0.14124165,0.13886961,0.13632978,0.13367134,0.1309802,0.12832321,0.12562984,0.122682415,0.11923153,0.11520547,0.11075184,0.10620985,0.101968706,0.09831662,0.09529963,0.09274182,0.090648584,0.08980381,0.09226293,0.10043186,0.11499798,0.13301708,0.14897065,0.15863611,0.1628006,0.16743559,0.17954284,0.20217288,0.23187523,0.26101494,0.28243622,0.2932378,0.2948557,0.29072407,0.28401032,0.2766632,0.26949462,0.2623768,0.25488487,0.24691199,0.23915891,0.23274678,0.2287726,0.22769451,0.22930117,0.2325282,0.23600614,0.23839808,0.23912394,0.23821999,0.23632318,0.23406045,0.23195201,0.23027408,0.22945018,0.23002803,0.23228748,0.2358278,0.23977019,0.2436396,0.24755843,0.25189745,0.25637224,0.2602931,0.262924,0.26408944,0.26329985,0.25925824,0.24945126,0.23252301,0.21035856,0.18976623,0.17907254,0.18348713,0.20090838,0.22350447,0.24257863,0.2532773,0.25576362,0.25288197,0.24772334,0.24203219,0.23650663,0.23118894,0.22609283,0.22127835,0.21697736,0.21339305,0.210621,0.20840387,0.20617586,0.20303898,0.19807829,0.1906454,0.1810251,0.1704948,0.16090459,0.15337127,0.14787821,0.1435891,0.14011209,0.13787635,0.13814475,0.14239353,0.15136896,0.16396503,0.17669864,0.18554647,0.18824469,0.18580805,0.18103509,0.17659806,0.17366242,0.17197706,0.17014581,0.16611238,0.15835737,0.14713629,0.13511641,0.12605086,0.12325124,0.12765767,0.13754131,0.14862442,0.15638687,0.1581098,0.15433836,0.14772949,0.1411534,0.13620459,0.13306244,0.1311184,0.12953699,0.127674,0.12518205,0.12203574,0.11838486,0.114423305,0.11036158,0.10645481,0.10299478,0.10013243,0.09784087,0.09600977,0.09464353,0.09374588,0.09314539,0.09252455,0.09170645,0.09081262,0.08997363,0.08909228,0.087881655,0.08621069,0.08425206,0.08229803,0.08061933,0.07926279,0.07819596,0.077249646,0.07639277,0.07561812,0.075004555,0.07447941,0.07397828,0.07336388,0.07259209,0.071619034,0.07066738,0.07005497,0.07007677,0.07062772,0.071443886,0.07239368,0.073672526,0.07548595,0.07772583,0.079991065,0.08188188,0.08324591,0.084174275,0.08480975,0.08515815,0.085057266,0.08438038,0.08328531,0.08214859,0.08131521,0.0808081,0.080482475,0.08014972,0.07976407,0.07927844,0.078728914,0.07821184,0.07789823,0.07782891,0.07785878,0.077791095,0.077565156,0.07724384,0.07691321,0.076623686,0.076501675,0.07662145,0.07692047,0.07711658,0.077066936,0.07691294,0.077002704,0.07749757,0.0782684,0.0791048,0.07987737,0.08054763,0.08097976,0.081055254,0.08068821,0.07996229,0.07904213,0.07824818,0.07785592,0.07790924,0.07815,0.07829622,0.07835584,0.07849439,0.07885576,0.07939748,0.080106735,0.080882035,0.08146581,0.0814598,0.08070367,0.07946994,0.078213096,0.07724405,0.07658907,0.07619109,0.07592958,0.07565707,0.07521852,0.07465596,0.07409129,0.07355752,0.07282323,0.07171584,0.070235185,0.0685899,0.066865824,0.0651221,0.06337605,0.061724003,0.06019445,0.058909457,0.058057025,0.057747856,0.05775432,0.057631526,0.057101306,0.056154694,0.0549859,0.05376324,0.052779693,0.052192528,0.052010506,0.051872447,0.051525947,0.05079641,0.04975118,0.048416093,0.046997767,0.045688197,0.04459444,0.043505743,0.04222214,0.04073197,0.039226044,0.037727583,0.036043297,0.033929545,0.03131191,0.02826359,0.024898626,0.021363012,0.017801939,0.014354691,0.011107477,0.008178965,0.0057110745,0.0038220913,0.0025031616,0.001637912,0.0010762459,0.0007047172,0.00045521473,0.00028707722,0.00017407887,9.936147E-05,5.2555584E-05,2.5755808E-05,1.1995316E-05,5.561516E-06,2.7040994E-06,1.4369842E-06,8.820163E-07,6.9885346E-07]