[0.14894158,0.17704421,0.2354434,0.30213344,0.3557153,0.38617912,0.395157,0.39220297,0.3874487,0.3879142,0.39625487,0.41054237,0.4264021,0.44011888,0.4530209,0.47183976,0.50166273,0.5397305,0.5724213,0.58607316,0.57528573,0.54759437,0.51564157,0.4885161,0.46867737,0.45333853,0.44056502,0.4295573,0.42147672,0.41633514,0.41312328,0.4104806,0.40917695,0.4141636,0.43278584,0.46879676,0.51637197,0.5599696,0.58377784,0.58045554,0.55562776,0.5218932,0.49129596,0.4691616,0.45320544,0.438874,0.42311636,0.40745437,0.39310303,0.37882486,0.3594555,0.33028972,0.29036933,0.24365671,0.19622143,0.1525761,0.11433396,0.0827281,0.06193492,0.058817606,0.07822389,0.11558967,0.15764786,0.18727262,0.1958986,0.18406288,0.16109714,0.13601162,0.11829856,0.1133964,0.12315852,0.1419114,0.16208877,0.17667139,0.183052,0.17982684,0.16859214,0.15293938,0.13863127,0.12896872,0.124301165,0.12337515,0.1263444,0.13509633,0.15137456,0.17297463,0.19294858,0.20109786,0.19353007,0.17508882,0.15895747,0.152812,0.15414621,0.15145718,0.1372075,0.11453021,0.09272191,0.0788612,0.07215172,0.07164412,0.078935176,0.09824047,0.12721217,0.15703148,0.17710835,0.18283664,0.17633618,0.16247885,0.1457143,0.12902741,0.11496678,0.10434004,0.095611,0.085262455,0.070746765,0.05308482,0.037467223,0.031707693,0.04202191,0.0689005,0.10423865,0.13628684,0.15636377,0.16569977,0.17019726,0.17527132,0.18021083,0.18254,0.18027775,0.17336832,0.16380565,0.15541774,0.15421396,0.16311222,0.17963421,0.19613244,0.20474817,0.20260316,0.19177924,0.17824112,0.16514231,0.15164058,0.13306539,0.107242905,0.077549905,0.051882382,0.038075984,0.038743183,0.051774234,0.07313029,0.10101354,0.13394007,0.16827549,0.19768405,0.21762282,0.22643375,0.22431822,0.2109135,0.18770592,0.15901391,0.12973632,0.1025847,0.077072494,0.053685214,0.03485262,0.02518183,0.028978886,0.04580432,0.071902454,0.09849841,0.12299106,0.14376849,0.1639937,0.17790993,0.17939258,0.1625169,0.1338021,0.10783779,0.10080448,0.11914444,0.15447277,0.18976398,0.21014893,0.2123525,0.2043157,0.1962672,0.19420461,0.1953075,0.19481681,0.18931435,0.18226182,0.17858876,0.18085791,0.18513973,0.18445043,0.17477517,0.1582178,0.14210856,0.13154407,0.12606867,0.11974377,0.10925699,0.097480685,0.091611765,0.09604623,0.109437324,0.12733956,0.14465417,0.15684195,0.16094972,0.15986888,0.16179723,0.17263108,0.1876707,0.19346373,0.17950575,0.1466421,0.10575234,0.06832336,0.040760767,0.0232663,0.013579254,0.009279464,0.010573388,0.020906473,0.0457527,0.08646989,0.13639893,0.18114817,0.20856862,0.2143489,0.20610975,0.1949156,0.19128759,0.19519345,0.2001536,0.195677,0.18101747,0.16272418,0.15140222,0.14852661,0.14836453,0.14162408,0.1253999,0.10396844,0.0874786,0.08393232,0.09544536,0.115397446,0.13461758,0.14611113,0.15010147,0.15223627,0.15755838,0.1671815,0.17584568,0.1798954,0.17766602,0.17417723,0.17232113,0.17316924,0.16946429,0.1547699,0.12598316,0.09168399,0.06547811,0.06022321,0.07812688,0.11018882,0.14099343,0.15944122,0.1643693,0.1633025,0.16238905,0.16292979,0.16185577,0.15926315,0.15810554,0.16121684,0.16718958,0.16959639,0.1618352,0.13996741,0.10825833,0.076029204,0.05423467,0.048747633,0.06134508,0.09019095,0.12944473,0.16571844,0.18357472,0.17602837,0.15221505,0.13136332,0.12789261,0.14423132,0.16997743,0.1939575,0.2071314,0.20900773,0.20012648,0.18438445,0.16296268,0.14091858,0.1207743,0.10740048,0.10005277,0.099675976,0.10458193,0.11756388,0.13812292,0.16229992,0.1783477,0.17769217,0.16133653,0.14194332,0.1312031,0.13271601,0.14221887,0.15551893,0.17051703,0.18416287,0.19235314,0.19272394,0.18830276,0.18319517,0.17885058,0.17393257,0.16774331,0.1617142,0.15466447,0.14261402,0.120817535,0.090773545,0.058999848,0.033323936,0.017099546,0.0093056755,0.00667017,0.007495361,0.012918733,0.02747781,0.05380143,0.09017366,0.12704507,0.15544234,0.16939734,0.17135423,0.16503198,0.15569393,0.14642097,0.14058776,0.13967313,0.14451437,0.15464725,0.16787803,0.17845857,0.18086953,0.17448036,0.1657484,0.1604406,0.15772961,0.1515655,0.13906588,0.12610914,0.120847404,0.12781508,0.14145909,0.15572707,0.16527027,0.17137527,0.17136075,0.16260777,0.14131407,0.11307195,0.088745326,0.08016372,0.09202301,0.11934155,0.1526726,0.18001221,0.19635463,0.20127763,0.20295723,0.205644,0.21027316,0.20972885,0.20170353,0.18822598,0.17729563,0.17202485,0.17305477,0.1790198,0.19107915,0.20704545,0.22084899,0.22563021,0.21959905,0.2069446,0.19338177,0.18415368,0.1821744,0.18547924,0.18655014,0.17427933,0.1449839,0.10380223,0.06446282,0.037626505,0.029593581,0.039774913,0.06521603,0.099319816,0.13460588,0.16312349,0.18141675,0.1886368,0.18611722,0.17161669,0.14493337,0.11005375,0.07971419,0.06527539,0.07264439,0.09710485,0.13115314,0.16412228,0.1883537,0.19651498,0.18725355,0.16297245,0.13268763,0.109315455,0.103559546,0.11758977,0.14209351,0.16733246,0.18731745,0.20258945,0.2108353,0.21133631,0.20459704,0.19820118,0.19634296,0.19867359,0.19672573,0.18261676,0.15360896,0.114620976,0.075271,0.043494582,0.024758512,0.021146921,0.03520016,0.06401748,0.10056492,0.13102971,0.1494606,0.15662932,0.1635421,0.17470588,0.18870248,0.19641577,0.1934851,0.1825699,0.1730095,0.17259695,0.1821564,0.19306783,0.19302459,0.17324805,0.13657229,0.09404185,0.058816608,0.037857752,0.03391665,0.045803666,0.07098284,0.101880394,0.13143808,0.153259,0.16731882,0.17496954,0.18051255,0.18689084,0.19550852,0.20439774,0.21053298,0.21289243,0.2134919,0.21377158,0.21218689,0.20206232,0.17954618,0.14796558,0.12315772,0.121546924,0.15030567,0.19762094,0.24296637,0.26814234,0.26904878,0.25291663,0.23179974,0.2128393,0.1954838,0.1752593,0.1505379,0.12418955,0.10008577,0.0804641,0.06880711,0.070903294,0.09075844,0.122560225,0.15322761,0.17053859,0.17482881,0.17304361,0.17299992,0.1733002,0.17186779,0.16677463,0.1600778,0.1502917,0.13449223,0.11044437,0.0809425,0.05229089,0.030087275,0.018013772,0.018096412,0.033752207,0.065856434,0.11037582,0.15631498,0.19343048,0.21588345,0.22429813,0.22134674,0.21211515,0.20283405,0.19938493,0.20310266,0.2089897,0.2088861,0.19544686,0.16799748,0.13224791,0.099223554,0.08014647,0.08248271,0.10569308,0.13983339,0.17038445,0.18699934,0.18962306,0.1875508,0.18983607,0.19977742,0.21129768,0.21815681,0.21642166,0.21105029,0.20804109,0.21423936,0.22770323,0.24123281,0.24191117,0.22307862,0.18741758,0.14922042,0.12452059,0.12089834,0.13357542,0.14951478,0.16267174,0.1734283,0.1876504,0.200271,0.20285384,0.18571804,0.15212138,0.11035996,0.072500445,0.04622039,0.038774427,0.05410877,0.091825366,0.14304343,0.19289224,0.22763114,0.24050649,0.23497625,0.2194394,0.20506006,0.19892901,0.20442377,0.21724951,0.2322302,0.24280518,0.24667548,0.24028088,0.22426037,0.20179957,0.18202776,0.17217977,0.17423369,0.18289034,0.1908211,0.19336866,0.19112845,0.18745159,0.1834746,0.1753494,0.1567058,0.12618402,0.08935365,0.05590799,0.032458533,0.021364445,0.02335625,0.038558055,0.066295356,0.10015353,0.1321733,0.15431482,0.16677952,0.17333163,0.18006402,0.1865152,0.19003148,0.18588758,0.17639107,0.16701843,0.1670664,0.17797136,0.19279559,0.19649567,0.18076487,0.15104537,0.12519072,0.11750841,0.12924372,0.14875382,0.1641729,0.16996849,0.16798656,0.16091643,0.15032987,0.13556233,0.116312265,0.09343263,0.07229397,0.06244417,0.07303282,0.10529399,0.14856046,0.18908413,0.21696876,0.23322417,0.23960732,0.23736419,0.22227429,0.19435386,0.15730855,0.11995322,0.088639475,0.06508023,0.04685606,0.03161257,0.019411841,0.011240318,0.007143239,0.0057825535,0.0057132193,0.0061500887,0.006783893,0.008457349,0.013740167,0.027729606,0.053771917,0.090808906,0.1305741,0.16427444,0.18615888,0.19762675,0.20231916,0.2049119,0.20786814,0.2127273,0.21609491,0.21131933,0.18999897,0.15197892,0.10720671,0.0742488,0.06877909,0.0944131,0.1400457,0.18459542,0.21199854,0.21497537,0.19879897,0.16998887,0.14043638,0.1227625,0.12954675,0.16124795,0.20557034,0.24561556,0.27105144,0.2815403,0.28327748,0.28241834,0.2824743,0.2821304,0.27988562,0.27698734,0.27474692,0.27014068,0.25409025,0.22435693,0.19036424,0.16924112,0.16909575,0.18348837,0.196638,0.19598643,0.1783423,0.15327561,0.13470875,0.13385664,0.14781378,0.16710545,0.1807875,0.18752772,0.18897633,0.19084638,0.19436783,0.20046735,0.20420803,0.20254524,0.19334374,0.18127032,0.17277747,0.17454208,0.18598117,0.19977598,0.20483589,0.19847558,0.1869669,0.1822918,0.18889175,0.20773804,0.23667626,0.2750807,0.3120834,0.33087853,0.31614038,0.27122584,0.21177596,0.15598433,0.10970452,0.07316801,0.04405484,0.02632971,0.025111713,0.04795426,0.09430089,0.15509729,0.21090238,0.24786909,0.26241872,0.26271063,0.25784388,0.25315768,0.25021875,0.24707375,0.2426582,0.23685324,0.23186709,0.22903317,0.22657786,0.22242498,0.2143966,0.20346601,0.18865208,0.16892266,0.14275981,0.11663475,0.102396786,0.11225947,0.14473687,0.18540938,0.21459933,0.22416814,0.22050275,0.21898063,0.22829126,0.24599569,0.2597903,0.26088497,0.24825369,0.23292112,0.22657736,0.2351187,0.24918945,0.25335845,0.23660165,0.20411555,0.1722865,0.15697277,0.16121955,0.17653733,0.19017954,0.19599771,0.1950862,0.19649737,0.2103859,0.24111497,0.27932498,0.30376735,0.29848585,0.2649729,0.2252992,0.20137763,0.2035337,0.22561486,0.2575679,0.28921425,0.30915394,0.30485672,0.26819813,0.20635034,0.13627137,0.07755427,0.039562754,0.025195934,0.03378515,0.06633787,0.12030679,0.18796198,0.25553218,0.31021303,0.3413557,0.34596983,0.32722214,0.29757652,0.26825187,0.24503158,0.22246681,0.19390363,0.1562121,0.11412158,0.07499273,0.046532024,0.035533328,0.04848465,0.08756077,0.1448433,0.20115606,0.23607986,0.24256001,0.23002286,0.21667255,0.21224928,0.2184322,0.22747253,0.23532178,0.23641813,0.23221247,0.22284132,0.2124873,0.201698,0.19445258,0.19411357,0.2046823,0.22208999,0.24141283,0.25732145,0.27467513,0.2924875,0.31006077,0.31303498,0.29567966,0.25138083,0.19232284,0.13320689,0.09562936,0.08762416,0.10898522,0.14884196,0.1978873,0.24500935,0.28311995,0.3043529,0.3052639,0.28337666,0.24185051,0.188953,0.13562106,0.09113118,0.059694987,0.04506969,0.05184005,0.08642566,0.14926864,0.23123877,0.31255257,0.37414452,0.40734592,0.4181876,0.4186177,0.41642237,0.41239294,0.40462637,0.39437342,0.3860356,0.38447484,0.39176646,0.40585104,0.42187527,0.43602654,0.44915417,0.46786094,0.4972489,0.53557235,0.57024103,0.5876561,0.5811742,0.55674386,0.5262728,0.49876773,0.47701538,0.45851573,0.44229257,0.4284205,0.41897988,0.41382298,0.41142726,0.40942797,0.40773347,0.41093776,0.4265599,0.45979953,0.50608176,0.55100393,0.5778939,0.5787001,0.5578873,0.52794224,0.50000626,0.4785253,0.4608306,0.44285715,0.4233848,0.40529633,0.39124116,0.37959775,0.36424366,0.33925942,0.30429316,0.26534292,0.23009588,0.20179038,0.17895097,0.15977411,0.14737952,0.1459211,0.1558404,0.17084505,0.1842975,0.19350207,0.19898488,0.20099162,0.1964554,0.18422884,0.16699935,0.1539983,0.15234764,0.1614088,0.17156821,0.17367733,0.16733044,0.15948842,0.1574065,0.16222727,0.16947593,0.17292799,0.16939096,0.16109894,0.15331121,0.1492457,0.14747864,0.1445098,0.13868101,0.13175422,0.12724446,0.13012654,0.14504085,0.17237858,0.20496716,0.22878851,0.23418808,0.21904387,0.19189607,0.16030984,0.13300687,0.11484301,0.11147975,0.122238375,0.14266948,0.16557395,0.18585213,0.19988121,0.20468901,0.19919206,0.18573077,0.16861083,0.1519195,0.13704187,0.12558313,0.11878542,0.11935043,0.12631124,0.13591456,0.1414228,0.14056574,0.135677,0.1325006,0.13342051,0.13691808,0.1387433,0.13560052,0.12735604,0.1176602,0.1121235,0.1134905,0.120279014,0.12757556,0.13260297,0.13206707,0.12420691,0.10638011,0.08496421,0.07248912,0.08356267,0.119882494,0.16771376,0.20819288,0.23010375,0.23700817,0.2334796,0.22285497,0.20332354,0.18261735,0.16886891,0.16899894,0.17590451,0.1809287,0.17613006,0.16280244,0.14329459,0.12224221,0.102295704,0.08751595,0.07990066,0.08277055,0.098344944,0.12725455,0.15967299,0.1789363,0.17135173,0.14455687,0.12418133,0.13400379,0.17167778,0.2095346,0.21923979,0.19451325,0.15244088,0.1155042,0.09580588,0.09481109,0.10768946,0.1313588,0.16003804,0.18747507,0.20390682,0.20516,0.19345812,0.17776744,0.16713513,0.1669672,0.17856842,0.1949287,0.20296232,0.18813772,0.14897873,0.09833098,0.05616882,0.035318043,0.0367621,0.05396765,0.077893674,0.102800645,0.12446574,0.14278726,0.15688772,0.16544479,0.16321589,0.14771396,0.12613755,0.11843578,0.14357384,0.2012903,0.26633963,0.3091758,0.31842425,0.3067588,0.29071724,0.27518055,0.25414827,0.22518809,0.19491585,0.17257605,0.16048196,0.15588987,0.15764934,0.16950367,0.19250906,0.21833812,0.23504959,0.23605935,0.22628802,0.21123548,0.193771,0.1727141,0.15323353,0.14257659,0.14663358,0.159487,0.16997962,0.16537066,0.14345223,0.1089121,0.072882034,0.04371545,0.029596798,0.038131144,0.078861654,0.15330476,0.24963562,0.3402017,0.39961985,0.41510412,0.39461467,0.3514032,0.29722026,0.2359463,0.17175607,0.11277417,0.07174627,0.06109448,0.08404531,0.13082899,0.18198378,0.2215318,0.24618523,0.26103488,0.27032742,0.26983595,0.25533554,0.2252063,0.18721284,0.15143315,0.13264924,0.13847984,0.16608272,0.19456547,0.20064251,0.17247273,0.12201809,0.073665224,0.05011043,0.059907466,0.097498804,0.14828557,0.1956624,0.23107286,0.2549046,0.27311996,0.28611258,0.2903436,0.28383198,0.26953104,0.24964185,0.22011511,0.17724353,0.12582557,0.08081074,0.058165133,0.06340726,0.09030512,0.12366889,0.15270531,0.17357726,0.19005287,0.20263807,0.20901267,0.20939557,0.21255009,0.22916158,0.2580429,0.28426334,0.2896482,0.2703546,0.23726366,0.2081313,0.19249992,0.18978311,0.19290365,0.19757085,0.20460343,0.21587972,0.22871344,0.23738883,0.2371218,0.22818464,0.21161257,0.19043231,0.16881119,0.1538191,0.1498311,0.15619546,0.16908313,0.18583815,0.20501196,0.22126226,0.22391964,0.2035615,0.16348246,0.122634314,0.10668809,0.12882619,0.18146843,0.23768234,0.27300838,0.2765395,0.2613746,0.24791229,0.2528232,0.27209556,0.28776768,0.28082228,0.24719816,0.2022757,0.16764005,0.15913945,0.17436856,0.19923611,0.21735018,0.22257291,0.21983242,0.21667068,0.2165013,0.21899204,0.2238702,0.23358823,0.24552774,0.25575793,0.25617233,0.2472261,0.23204933,0.22018184,0.21430628,0.21264179,0.20670392,0.19267868,0.17089774,0.1451149,0.1164521,0.085727714,0.055853784,0.03181346,0.018893385,0.022795575,0.052155185,0.1114405,0.19192684,0.2683111,0.31558347,0.32651803,0.31276104,0.28802708,0.2536792,0.20560192,0.14595489,0.087944776,0.04646207,0.031748313,0.05132194,0.10906869,0.20055127,0.3021432,0.38072452,0.40968755,0.39191177,0.3536977,0.32573497,0.31634727,0.3108232,0.29056078,0.25237712,0.2105156,0.17719005,0.153589,0.12979318,0.10041663,0.0675497,0.04070736,0.02863889,0.03886212,0.073178165,0.12842296,0.1932228,0.25568917,0.30606902,0.34218308,0.36415502,0.37163356,0.3620546,0.33502558,0.29825655,0.26406857,0.24270053,0.23188263,0.22439109,0.21371263,0.2032339,0.19459529,0.18726234,0.1746797,0.15763037,0.13888834,0.12496092,0.11534818,0.11127472,0.11120651,0.116659135,0.12398988,0.1310159,0.1348241,0.13713698,0.13987647,0.14626463,0.15809399,0.17468143,0.19333905,0.2082113,0.21743254,0.21876937,0.21521263,0.20536257,0.19118331,0.1743805,0.16289741,0.16280514,0.17233314,0.17962979,0.16939475,0.13846834,0.097545855,0.06692632,0.058074176,0.07110154,0.095576376,0.12500459,0.15538682,0.18572654,0.20773034,0.21485217,0.20502625,0.19050394,0.1838064,0.19016111,0.19789825,0.19277292,0.16748308,0.1291457,0.08899933,0.056122396,0.033402197,0.021843115,0.02237282,0.035602126,0.062068697,0.10049959,0.14870411,0.19923402,0.24073885,0.26152608,0.2572058,0.23679455,0.2157855,0.20943494,0.21792586,0.2329425,0.2406459,0.23681378,0.22267644,0.20596896,0.19310528,0.18925814,0.19340391,0.19895709,0.19665623,0.18159002,0.1569079,0.13296854,0.12077931,0.12508726,0.13983166,0.15291536,0.15584116,0.15073551,0.14811586,0.15396683,0.16577488,0.17054062,0.16019148,0.13320886,0.10425403,0.09387799,0.124114506,0.19967718,0.30294415,0.39855173,0.45329854,0.45526204,0.4146161,0.355696,0.2981265,0.2557735,0.23122354,0.22335482,0.22212295,0.21955778,0.21357144,0.21582367,0.23823845,0.2799845,0.32017395,0.33297178,0.3058066,0.2496748,0.1887211,0.14864016,0.14153491,0.1663457,0.20552976,0.24026096,0.25709856,0.26009348,0.26065874,0.26858643,0.2791401,0.27896413,0.25677833,0.21697982,0.17567998,0.14954059,0.14145596,0.14112824,0.1335677,0.11143976,0.07893218,0.0468775,0.024217235,0.013163327,0.013859421,0.03040377,0.07287035,0.14515866,0.23492317,0.31219065,0.3503715,0.34355727,0.30942896,0.26890126,0.22975135,0.18681884,0.13657832,0.08554727,0.04710196,0.031636894,0.044046033,0.08083825,0.13241094,0.18262017,0.21792622,0.23337871,0.23283695,0.22428375,0.21132493,0.19736439,0.1832912,0.17395057,0.17094576,0.1750747,0.18109268,0.1845467,0.18074977,0.17167847,0.15855975,0.14536043,0.13005775,0.112875216,0.090930104,0.06688189,0.043086022,0.02482468,0.013498033,0.00974491,0.015230954,0.037130456,0.08287599,0.14990698,0.22165917,0.27651545,0.30394623,0.30745447,0.29724237,0.27949932,0.25758228,0.23541288,0.21760814,0.20604117,0.19715364,0.18837936,0.17955507,0.17483081,0.17420374,0.17494763,0.17245801,0.16565602,0.15487748,0.141245,0.1281769,0.12272335,0.1317529,0.15501164,0.18227752,0.20134743,0.20414394,0.19150065,0.16538067,0.13090052,0.0958491,0.07474751,0.078833595,0.10793644,0.14831845,0.1818766,0.19764195,0.19515385,0.1817339,0.16592215,0.15332793,0.14587367,0.14197718,0.14051574,0.14077,0.14395303,0.14857227,0.15256304,0.15381818,0.15601625,0.16415428,0.17995775,0.19604218,0.20101874,0.18900424,0.16270554,0.1312123,0.10012471,0.07541563,0.06410391,0.07784023,0.11960264,0.17789608,0.22866166,0.25258526,0.2466914,0.22257392,0.19653797,0.17913516,0.1739887,0.175897,0.17721494,0.17211188,0.16333549,0.15788914,0.16006732,0.1667521,0.17023636,0.16710673,0.16080336,0.15943833,0.16700085,0.17790037,0.18041348,0.16312009,0.12706424,0.0823404,0.044475675,0.020548584,0.011333544,0.015314545,0.03903006,0.093638204,0.18278174,0.2882857,0.3734227,0.40467167,0.37607622,0.31020507,0.23929392,0.18073773,0.13618016,0.100103974,0.077117585,0.07884439,0.11574149,0.17853476,0.24135597,0.27619454,0.27803686,0.2610957,0.24514103,0.23277439,0.21861851,0.19649117,0.17189898,0.15128241,0.13882375,0.13276917,0.13031745,0.13041627,0.13228033,0.13635324,0.14016569,0.14092426,0.13283764,0.113619655,0.08475312,0.054256056,0.030184073,0.019480376,0.026975045,0.058864053,0.11735451,0.19473147,0.26687843,0.30742645,0.30205122,0.265083,0.22325234,0.19953452,0.19358031,0.19400094,0.18957968,0.18135524,0.17400597,0.17146195,0.17171681,0.1741541,0.1788832,0.18879122,0.20218658,0.21425545,0.21761931,0.2091273,0.19131792,0.17013685,0.15172507,0.1389619,0.13317823,0.13357286,0.13988155,0.15248442,0.17145924,0.19287072,0.20846951,0.21018445,0.1980276,0.17787565,0.15809529,0.14112957,0.12915985,0.12470778,0.13186608,0.14820017,0.16228645,0.16098835,0.13797952,0.10095191,0.064672545,0.045594733,0.055084217,0.0957455,0.15982263,0.22588508,0.27233574,0.28391752,0.26579195,0.2302621,0.19319163,0.16209911,0.14377908,0.14204323,0.15680577,0.1796059,0.19617741,0.19723599,0.18237871,0.16254072,0.14784138,0.14400284,0.14550124,0.14372522,0.13018301,0.10440915,0.0717499,0.04119928,0.019097546,0.009280332,0.016631298,0.052223522,0.12586571,0.23164314,0.33868602,0.40550599,0.4087151,0.3561441,0.27895507,0.20267808,0.14201288,0.10002809,0.08554473,0.10351213,0.1518418,0.21063894,0.25850818,0.2808555,0.27934468,0.2602403,0.23297739,0.20489728,0.18417262,0.17323823,0.16835828,0.16210169,0.1479053,0.12436938,0.09360459,0.062307324,0.036475483,0.02011434,0.0133632235,0.0157352,0.02781277,0.048893068,0.07655352,0.105146624,0.13174576,0.15362947,0.17163791,0.18533961,0.1978185,0.20879841,0.21512318,0.20700423,0.17861223,0.13297346,0.08551433,0.054596085,0.054386884,0.08542809,0.13626218,0.1874389,0.2266475,0.2526957,0.27216634,0.2861108,0.28926048,0.2775011,0.25553867,0.23168993,0.21109863,0.19298352,0.17689045,0.16427004,0.15667148,0.15349062,0.15153684,0.1489818,0.14453937,0.13869625,0.1331625,0.12992269,0.13202111,0.13760148,0.14332789,0.14212038,0.13292156,0.11872411,0.1080865,0.10645136,0.11443043,0.12507173,0.12938923,0.12173224,0.105881386,0.092288524,0.08917391,0.09676666,0.10830263,0.121599585,0.13886787,0.16503406,0.19564404,0.2228604,0.23726267,0.23631883,0.21760446,0.18230842,0.1354621,0.09316247,0.07557797,0.09803025,0.15605395,0.22554386,0.27311388,0.28060186,0.25263032,0.21261024,0.1793391,0.16295612,0.15996796,0.16709512,0.17577541,0.1829357,0.18331848,0.17972298,0.17346759,0.17137589,0.17546572,0.18609516,0.19585602,0.20039237,0.19969857,0.19916822,0.19915219,0.19443768,0.18064743,0.16054715,0.14298187,0.13318716,0.1308195,0.12934233,0.12261767,0.1062639,0.08160695,0.054018464,0.030713797,0.01621635,0.013041146,0.024125362,0.054148536,0.102713585,0.16018428,0.20840186,0.2345894,0.23707543,0.22435646,0.20264643,0.17270033,0.1342154,0.09257928,0.060262945,0.049555674,0.0659632,0.10213796,0.14132653,0.16726494,0.17436193,0.16967838,0.1627481,0.15851402,0.15396774,0.14517695,0.13055758,0.11206648,0.092564374,0.07258534,0.053969968,0.04098892,0.043211747,0.06775383,0.11372098,0.1718672,0.22943707,0.2782129,0.30880177,0.31489405,0.29234722,0.25292176,0.21318899,0.18754794,0.17278403,0.16027541,0.1424094,0.12295175,0.1069249,0.09987659,0.101744585,0.112459265,0.12741314,0.14050983,0.1456539,0.14285141,0.14043726,0.14655,0.16556297,0.19161974,0.2193624,0.24284355,0.25981605,0.26394066,0.25103506,0.22183935,0.18769771,0.16281079,0.15572163,0.16304319,0.17228107,0.17243755,0.16056824,0.14579134,0.14033394,0.15293087,0.1807126,0.21216822,0.23306452,0.2345733,0.21804364,0.19305992,0.17376335,0.16881073,0.17765068,0.18882208,0.18991369,0.1739568,0.1443049,0.11156652,0.09009567,0.09093521,0.115109384,0.15234543,0.18786152,0.21300821,0.2258805,0.22834754,0.21990712,0.20308815,0.18335396,0.16969931,0.16523571,0.16990022,0.18033083,0.1977908,0.21817684,0.23487447,0.23707968,0.22734326,0.21622036,0.21486449,0.21952413,0.21775706,0.20203759,0.17600267,0.15024827,0.13084106,0.12022537,0.11815231,0.12621687,0.14250503,0.16062592,0.16862738,0.15799455,0.12814899,0.08905151,0.05284971,0.027772017,0.014291822,0.008730361,0.008558347,0.016851543,0.043434177,0.09676915,0.17310083,0.25006148,0.29862607,0.30332258,0.27219003,0.2274623,0.1851641,0.14868997,0.11349216,0.079457484,0.05256607,0.04192925,0.0533208,0.085238494,0.12869157,0.16968966,0.19818427,0.21255912,0.22279195,0.23865469,0.26424375,0.2896419,0.30440888,0.30048743,0.2832414,0.25771153,0.22927411,0.19388364,0.15117437,0.10353596,0.061226588,0.031247802,0.017125739,0.017554814,0.03352285,0.06489387,0.11106103,0.16569643,0.22165179,0.2693752,0.3015721,0.3175526,0.32149675,0.3199687,0.30682105,0.27430418,0.21663715,0.14721198,0.08494238,0.048666596,0.04635257,0.07778216,0.13480276,0.19878955,0.24733503,0.26148376,0.24183488,0.20481402,0.17492211,0.16373593,0.16782606,0.17223547,0.16876854,0.15759294,0.14764687,0.1439146,0.14860927,0.15804903,0.16850723,0.17533995,0.17792891,0.17827602,0.17929243,0.17973997,0.17670985,0.16868876,0.15815566,0.14753596,0.13855581,0.13463192,0.13962215,0.1541344,0.16716617,0.1662199,0.14399566,0.112722956,0.093221776,0.10651521,0.1522338,0.2114322,0.25353742,0.26338372,0.24297269,0.21190864,0.18499275,0.17451411,0.18020315,0.19833738,0.21536165,0.22292288,0.21897425,0.21250528,0.20983319,0.21102245,0.20877506,0.19891997,0.18335395,0.16910933,0.15995522,0.15429837,0.14837891,0.14229643,0.14260419,0.15526365,0.18200715,0.21330933,0.23822846,0.24786544,0.24649942,0.24062932,0.23488718,0.22421533,0.20682444,0.18553157,0.1697163,0.1610048,0.1585232,0.15787536,0.16353495,0.17726476,0.19968231,0.22068007,0.23314,0.23240526,0.22286125,0.20639724,0.18284571,0.14894329,0.107386045,0.06610058,0.034589995,0.01793584,0.018747173,0.04266112,0.09703517,0.18271363,0.2826279,0.36697832,0.40649614,0.39115247,0.33184567,0.25245905,0.175156,0.11381873,0.07500178,0.062000792,0.074251495,0.1062695,0.14735015,0.18760715,0.22064333,0.24356546,0.25727746,0.26211125,0.25963864,0.24587207,0.21842124,0.17673285,0.12792218,0.08160695,0.046674147,0.030371971,0.038712543,0.07621079,0.13651925,0.20174615,0.24689172,0.26074743,0.24883033,0.22970109,0.21488039,0.20661227,0.20148438,0.19891655,0.2017888,0.20976587,0.2188288,0.22208595,0.21779609,0.20815729,0.19925265,0.19558395,0.20031035,0.21024686,0.21723801,0.21261364,0.19520776,0.17428903,0.16001405,0.16051765,0.17343165,0.1940191,0.20864926,0.2071634,0.18223344,0.14343664,0.10896096,0.09897249,0.11955073,0.1614965,0.20913808,0.25088862,0.2844038,0.30862048,0.32140538,0.3175935,0.29821703,0.26983085,0.24458045,0.22835271,0.22141506,0.2168027,0.21284308,0.20858407,0.20652004,0.20245771,0.19518004,0.18315238,0.1709944,0.16152662,0.16082524,0.17162031,0.19242074,0.21066584,0.2130127,0.19555663,0.17081678,0.15688677,0.16365063,0.18551467,0.20720553,0.21454908,0.20306039,0.17941146,0.15485947,0.13839953,0.13079542,0.12899773,0.12661262,0.11931377,0.10284849,0.07867879,0.051642984,0.029299071,0.01518172,0.008974766,0.00964884,0.019732235,0.04709063,0.09493035,0.1593525,0.22253644,0.2706343,0.29362154,0.29712537,0.2872124,0.27488852,0.26461774,0.25726315,0.24476363,0.21944623,0.17994475,0.13409132,0.09124992,0.05745721,0.033514466,0.020471523,0.02191625,0.047669347,0.10688472,0.19874586,0.30279908,0.38786355,0.42888904,0.42019102,0.3712994,0.29705617,0.21287595,0.13499418,0.078851394,0.05443124,0.06102447,0.09173826,0.13362308,0.17870118,0.2171907,0.2456515,0.25673497,0.25146386,0.23378944,0.2166096,0.21041125,0.2181993,0.23161958,0.23379119,0.21252656,0.16662434,0.110616244,0.06294956,0.03868422,0.04431464,0.079688154,0.13815849,0.2044714,0.2595184,0.28828073,0.28862295,0.26933572,0.24291877,0.22043456,0.20758666,0.20586747,0.20826553,0.2075964,0.19853508,0.18625586,0.1759951,0.17321841,0.17726938,0.1890982,0.20531583,0.21977909,0.22177099,0.20759468,0.18379547,0.16575348,0.1653256,0.18277405,0.20699306,0.22255562,0.22119343,0.20339085,0.17816281,0.1538224,0.13770328,0.13315882,0.14170934,0.15894425,0.1760316,0.18367572,0.18004751,0.17198414,0.16849877,0.17231661,0.17840166,0.17980836,0.17423005,0.16498454,0.15792483,0.15823114,0.16802633,0.18484433,0.19939129,0.19901626,0.17635761,0.13733637,0.10045806,0.08303445,0.09350865,0.12788045,0.18012625,0.24054469,0.29592487,0.3269349,0.3194209,0.27653965,0.21978189,0.17817877,0.16852887,0.18838207,0.21829022,0.23788303,0.23782684,0.22375971,0.20731021,0.19525641,0.18685152,0.17628641,0.16076769,0.14018606,0.12288049,0.11765343,0.13192035,0.15798849,0.18285502,0.19400084,0.19641878,0.1988051,0.2085464,0.21774763,0.22165233,0.21977021,0.22071803,0.22440793,0.22205009,0.20211844,0.16235721,0.11313041,0.06767058,0.03586771,0.019548452,0.020470709,0.045583382,0.105730854,0.202614,0.31474462,0.40428284,0.43780032,0.4112328,0.34438786,0.26559642,0.19038062,0.12615852,0.07743763,0.05433057,0.066765405,0.11459673,0.18293999,0.24337296,0.27645123,0.27775156,0.2631043,0.24435623,0.22924727,0.21509671,0.20477027,0.19745205,0.19470297,0.19174118,0.190334,0.18921168,0.18767494,0.17564659,0.14793487,0.106247194,0.06584599,0.042854104,0.050607648,0.08996326,0.1518804,0.21428223,0.25574413,0.2628208,0.24272536,0.21510285,0.2020588,0.21051343,0.23063485,0.24443941,0.24435025,0.2370729,0.23558219,0.24226062,0.24867715,0.24430919,0.22834979,0.20865624,0.1928735,0.18401755,0.17933571,0.17851776,0.17996024,0.1850171,0.19089466,0.19984941,0.21077774,0.22207557,0.22394757,0.20961283,0.18109243,0.15105094,0.13571768,0.13976695,0.15824233,0.17277169,0.17125641,0.14734794,0.11450606,0.09207352,0.09971136,0.13993107,0.19709301,0.24798997,0.275601,0.28031453,0.27009884,0.25295898,0.22982132,0.20274718,0.17867146,0.16734116,0.17143707,0.18464167,0.19678654,0.20280987,0.2020439,0.19491804,0.18129103,0.16311389,0.14650263,0.13832982,0.14567317,0.17173226,0.21383047,0.25794384,0.28507793,0.28369096,0.26074865,0.23641336,0.22577299,0.22638004,0.2210601,0.19550286,0.14950354,0.096777044,0.052601352,0.024956087,0.012107608,0.009117548,0.013860761,0.03102954,0.0673536,0.12446967,0.1906327,0.24482632,0.26826113,0.2603004,0.23864049,0.22591518,0.22959876,0.23783486,0.23251204,0.20750566,0.17255087,0.14112608,0.117479056,0.096298076,0.072223045,0.046897683,0.02603286,0.013577335,0.011420055,0.02552511,0.07069459,0.16016921,0.28898898,0.422474,0.514381,0.5353362,0.4931455,0.4189711,0.3432976,0.2778111,0.22111863,0.16806261,0.11847079,0.07528425,0.04349644,0.027981488,0.03330845,0.061575036,0.10866431,0.16447699,0.21689077,0.25854516,0.28531,0.2943432,0.2834501,0.2589546,0.23502065,0.22518277,0.2299912,0.23764275,0.23581026,0.22153455,0.20197217,0.1838749,0.16921222,0.15232955,0.12934302,0.09884677,0.06710415,0.041600082,0.031434227,0.042867977,0.07615966,0.12372511,0.16938658,0.19977291,0.20874012,0.20217073,0.1912845,0.18638565,0.19197528,0.20253636,0.20920217,0.20579255,0.19613393,0.18950479,0.19307226,0.20867728,0.23111522,0.25199422,0.25931922,0.24700807,0.216241,0.17926951,0.14718486,0.12971681,0.12685245,0.13653056,0.14913416,0.15790568,0.15741019,0.15171997,0.14540267,0.143366,0.14448899,0.14868851,0.15373148,0.15989806,0.16474019,0.17116529,0.1803146,0.19326822,0.19947238,0.18896294,0.15722989,0.11793762,0.09081494,0.088935226,0.10837406,0.1315668,0.14414628,0.13917935,0.124583624,0.11074794,0.11296123,0.13673264,0.17918837,0.22290438,0.2539011,0.26721177,0.27329972,0.27965245,0.28745005,0.28579974,0.26994434,0.24039221,0.20868564,0.18077688,0.15929474,0.14006652,0.12402169,0.114003204,0.11354358,0.12063212,0.13281392,0.1506195,0.17847236,0.2152222,0.2503757,0.26544252,0.24856384,0.20072033,0.14020781,0.09008152,0.07101509,0.087613225,0.1299644,0.17675513,0.2105443,0.22550051,0.22791834,0.22658087,0.22501104,0.22153449,0.21559177,0.21137233,0.21412028,0.22379665,0.23305793,0.23677744,0.23528665,0.23634396,0.24211986,0.25073344,0.25443375,0.24895845,0.23209585,0.20672943,0.17910504,0.15832643,0.15261658,0.16434081,0.18762219,0.20933658,0.21812618,0.21137275,0.19671352,0.1825877,0.17111878,0.15696333,0.13528119,0.10550323,0.0737033,0.047827125,0.038179364,0.052312672,0.092824005,0.15020438,0.20639336,0.24168463,0.247936,0.22835201,0.19449759,0.15485847,0.11615768,0.08166816,0.0562826,0.04326472,0.043832317,0.05600586,0.07625606,0.10270232,0.13274206,0.16283469,0.1855038,0.19599867,0.19343841,0.18532462,0.18007307,0.18322928,0.19102204,0.19545855,0.19168831,0.18208832,0.17219204,0.16410792,0.15571879,0.14585347,0.13436966,0.12398904,0.11400238,0.10419651,0.090645276,0.07260653,0.051191017,0.034198403,0.030431934,0.047346234,0.08245772,0.12578125,0.16268373,0.18873757,0.2068652,0.22401796,0.23659831,0.23881525,0.22731529,0.20867455,0.18925716,0.17334677,0.16063915,0.1511568,0.142361,0.13275881,0.122101896,0.11440886,0.111991495,0.1141163,0.11688933,0.11866302,0.120915465,0.12630525,0.13408194,0.13924432,0.13678141,0.12644549,0.113949895,0.10399452,0.097282626,0.08917594,0.07705991,0.060806397,0.045738623,0.03905488,0.050603718,0.08441162,0.13529652,0.18463683,0.21471496,0.21710937,0.20106156,0.17948677,0.1617799,0.1479029,0.1359839,0.12475956,0.11374939,0.10273578,0.09323934,0.089196324,0.09260344,0.100828595,0.10812923,0.11125374,0.11048349,0.107747525,0.105105706,0.10566241,0.11360377,0.12844355,0.14433646,0.15127246,0.14558092,0.13017565,0.11526599,0.108009,0.11044987,0.11710534,0.123281024,0.12788256,0.13297229,0.13644445,0.13214421,0.11483709,0.08704374,0.057038378,0.033103775,0.018377589,0.011366005,0.009364356,0.012382801,0.025499739,0.057209324,0.11233673,0.18324785,0.24829566,0.28358224,0.279326,0.24730778,0.20924963,0.18089001,0.16249149,0.14623447,0.12501954,0.09885184,0.07385912,0.059399646,0.06309236,0.08401791,0.112185754,0.13441284,0.14509685,0.1483932,0.15379207,0.16812891,0.1926263,0.22410865,0.25645962,0.28375658,0.29946706,0.30084166,0.28864494,0.26923332,0.24789844,0.22467287,0.19453226,0.15384632,0.10713976,0.063781895,0.032553773,0.015078268,0.009421707,0.015221901,0.0384965,0.0851916,0.1502946,0.21263355,0.24608517,0.24036215,0.20740986,0.17195778,0.14886118,0.14034693,0.13802,0.13793747,0.13872941,0.14501515,0.15784977,0.17463212,0.18593194,0.1845182,0.17077519,0.151796,0.13409045,0.11708591,0.097280495,0.07296627,0.04792412,0.027614905,0.016023913,0.014930404,0.025816372,0.049154934,0.08243532,0.118517436,0.15033428,0.17347656,0.18792723,0.1938336,0.19156921,0.18256795,0.17175066,0.16602373,0.16945286,0.17946042,0.18651597,0.18106408,0.16073814,0.13282372,0.10864586,0.095961064,0.09546187,0.10243133,0.11028666,0.11498844,0.117337294,0.12202831,0.13089085,0.13904454,0.1373017,0.12200835,0.09904453,0.081232905,0.07786233,0.089323215,0.10721946,0.121290304,0.12599371,0.12112567,0.1110234,0.09997917,0.09423039,0.098743804,0.11811501,0.14992738,0.18559241,0.20966963,0.2096783,0.18145259,0.13431755,0.085110985,0.051861536,0.046105143,0.0699994,0.11479803,0.1657297,0.20825483,0.23657401,0.24959397,0.24964236,0.23726349,0.2181617,0.20030262,0.19134398,0.19275463,0.1998442,0.20570272,0.20117114,0.18091421,0.14431246,0.10041664,0.060392722,0.03558177,0.032592382,0.05619623,0.10198739,0.15614079,0.19647282,0.21118845,0.20328616,0.18997765,0.18269901,0.18407743,0.18601573,0.1833611,0.17362742,0.16196701,0.15299265,0.15289174,0.16087282,0.17275469,0.17800634,0.17045635,0.14876361,0.12010812,0.09196016,0.07069792,0.05827673,0.05559501,0.06382269,0.08476892,0.11689651,0.15041976,0.1700912,0.16596653,0.1424825,0.11606716,0.10057131,0.10163588,0.116030104,0.14130455,0.170808,0.1958917,0.20536096,0.1965109,0.17482226,0.15053721,0.13328415,0.1284983,0.13635993,0.14870398,0.15666668,0.15841,0.16236879,0.17728491,0.20092225,0.22152384,0.22654895,0.21507956,0.19397093,0.17214644,0.14962234,0.12302325,0.09019553,0.057102695,0.031092642,0.016179627,0.0103342235,0.011815655,0.024442762,0.058741618,0.122297235,0.2083673,0.29047024,0.3368267,0.33055592,0.28301233,0.2231289,0.17752005,0.15456939,0.1465094,0.13974398,0.12596714,0.1036048,0.078572586,0.060779963,0.063965224,0.09492671,0.14767125,0.20003176,0.22942287,0.22613303,0.19955744,0.16717994,0.14296634,0.13409702,0.14129971,0.16145147,0.18306698,0.19496463,0.19049464,0.17893256,0.17309402,0.18290569,0.20042163,0.21126528,0.20204146,0.17654009,0.14748688,0.13081408,0.13150372,0.14788507,0.17201065,0.19589595,0.2103135,0.20752178,0.1849522,0.14663735,0.10297179,0.06396314,0.03619012,0.020028174,0.012926906,0.01321357,0.02352077,0.049774777,0.09364096,0.14649849,0.19011293,0.2098083,0.20400469,0.18425281,0.16175602,0.14073472,0.11961458,0.10114061,0.09106922,0.094545744,0.108083464,0.1260937,0.14351541,0.16016059,0.17313646,0.17763115,0.16916168,0.15134163,0.1344537,0.1294686,0.13915414,0.15687843,0.16982889,0.1685875,0.15182038,0.12902795,0.11333006,0.11274234,0.1235834,0.133328,0.13271551,0.122083515,0.11083269,0.10513591,0.104847945,0.10456133,0.10243848,0.09835593,0.09218059,0.080396615,0.062218975,0.040978108,0.023691727,0.016287118,0.023411654,0.049162224,0.09284731,0.14713557,0.19611432,0.2293102,0.2438126,0.24922502,0.2517982,0.2543167,0.25136247,0.23933464,0.21661548,0.18726552,0.15918556,0.14232223,0.14135574,0.1512454,0.15817481,0.1509765,0.1285974,0.10276272,0.08913817,0.09822788,0.12714873,0.16088052,0.18129599,0.17998399,0.16267054,0.14407997,0.13588399,0.14043337,0.15093555,0.15810513,0.15602024,0.1449091,0.12966974,0.11641275,0.10779318,0.10307279,0.09857449,0.09311268,0.08704371,0.08218168,0.077562325,0.07016273,0.05770928,0.04132302,0.025691265,0.014561993,0.008945815,0.006875839,0.006302508,0.0060773417,0.00601081,0.006099324,0.006301019,0.006503048,0.0066389604,0.006703041,0.0067627565,0.006886805,0.007069644,0.0072305114,0.0077082533,0.0105411215,0.019581946,0.039077807,0.068196915,0.10112963,0.1271645,0.14119667,0.1425551,0.13935657,0.136872,0.13923502,0.14320873,0.14581473,0.14269403,0.13166435,0.11332651,0.094492644,0.08641081,0.09515539,0.11655084,0.1388734,0.15503539,0.16685085,0.18069793,0.19943707,0.21710984,0.22444923,0.21450275,0.19162859,0.16665424,0.1510394,0.1461279,0.14759654,0.14872505,0.15085296,0.15589315,0.16541302,0.17096019,0.16508888,0.14501551,0.120603435,0.10420945,0.103720516,0.11629462,0.1335298,0.14851952,0.16114181,0.17609449,0.19513404,0.21205263,0.21668525,0.20446043,0.18105835,0.15568388,0.13496765,0.12118886,0.11725414,0.12324724,0.13287629,0.1332532,0.11640436,0.087091416,0.06104699,0.053445917,0.07072403,0.10959826,0.15955858,0.20712768,0.2378364,0.24523182,0.23092408,0.20687628,0.18283124,0.16591345,0.15473302,0.14718913,0.13911371,0.13085808,0.12481082,0.1269651,0.1383626,0.15269439,0.15612757,0.13891263,0.10363505,0.06489355,0.039434522,0.036035437,0.05366875,0.08354143,0.11578842,0.14241992,0.16064905,0.169492,0.17090249,0.16827899,0.1669724,0.16652356,0.16001089,0.13839687,0.102618255,0.06392993,0.037111852,0.030567786,0.043827593,0.07243339,0.10809058,0.14386928,0.16987066,0.1825762,0.18262284,0.18009911,0.18312252,0.19329728,0.20226228,0.20048375,0.18392336,0.15633312,0.12438033,0.09768301,0.08316448,0.085855596,0.09896562,0.11274865,0.115023516,0.105727166,0.08939374,0.076600395,0.073256515,0.08437946,0.10969063,0.14451921,0.17884739,0.20208399,0.21023537,0.20484115,0.19334204,0.18124442,0.17356656,0.16776621,0.15816395,0.1375069,0.106123686,0.0708837,0.04157263,0.026005069,0.029324641,0.05572179,0.10340965,0.16399187,0.2199127,0.25780246,0.26812926,0.2533432,0.21761735,0.1743894,0.1363029,0.1149652,0.10995594,0.11471448,0.12333321,0.13406907,0.1473432,0.1570567,0.15592726,0.13736932,0.10637858,0.07472221,0.059183255,0.06866541,0.10203127,0.14442398,0.17863159,0.19058466,0.18032533,0.15571521,0.13103278,0.1163433,0.1176767,0.1324417,0.15205698,0.16744165,0.17429392,0.17550313,0.17283493,0.16714805,0.15882678,0.15336458,0.15492193,0.16079141,0.16259943,0.15406303,0.139214,0.12481672,0.117423095,0.1166052,0.124230556,0.14060904,0.16444664,0.18662328,0.19638622,0.18836933,0.16504478,0.13443719,0.1038068,0.08073109,0.07064402,0.075808756,0.09146594,0.10907724,0.12279144,0.13310786,0.14332364,0.15466861,0.16308117,0.1671341,0.16762137,0.17155002,0.17968488,0.1887048,0.1895771,0.17901623,0.1609269,0.1429751,0.13136955,0.12637264,0.12709963,0.12934296,0.12908924,0.12140047,0.10711139,0.09327966,0.092503786,0.11689559,0.17045663,0.24492633,0.32022515,0.37726846,0.4075675,0.41725814,0.4173921,0.41488197,0.41037616,0.40231612,0.39248002,0.38534287,0.3858162,0.39554384,0.41170788,0.42859045,0.44208387,0.45381466,0.47174716,0.5017202,0.54112417,0.5755453,0.5902593,0.5794258,0.55065644,0.5174965,0.48929965,0.46873212,0.45257747,0.43917856,0.42807055,0.42075646,0.41681933,0.4144518,0.41186666,0.409791,0.41343108,0.43002418,0.46358547,0.5089442,0.551598,0.57613486,0.57482,0.5525554,0.5214853,0.493475,0.47333542,0.45816627,0.4431111,0.42583084,0.40886998,0.39409983,0.3800436,0.36094955,0.3318133,0.29178232,0.24510896,0.19790554,0.15455917,0.1160912,0.08217973,0.053082123,0.03050348,0.015541037,0.007862572,0.0059671267,0.010027456,0.022854915,0.0479939,0.08399109,0.122330226,0.15191828,0.1662888,0.16660047,0.15677464,0.14332473,0.13459872,0.14243066,0.17022079,0.20965679,0.24070625,0.25013226,0.23541303,0.20912875,0.18328337,0.16800475,0.16091363,0.15524922,0.14152336,0.12092032,0.10434866,0.10487133,0.12557477,0.1552328,0.18089433,0.19456017,0.19816653,0.19388594,0.18481922,0.17292152,0.1604022,0.14655961,0.13217264,0.12458833,0.13633,0.17194991,0.22034837,0.25946352,0.2737989,0.26069087,0.22922038,0.18793583,0.14444087,0.10270839,0.06783288,0.04179284,0.025166146,0.015616308,0.01093196,0.008927948,0.008247477,0.008018322,0.00790145,0.009426826,0.016980868,0.037584823,0.07386244,0.11859858,0.15573564,0.1724398,0.16888006,0.15468433,0.1410299,0.13159047,0.12897915,0.13190955,0.14056705,0.15028161,0.1590062,0.16625096,0.1755142,0.1918989,0.21455461,0.23878463,0.25166872,0.24921077,0.23266535,0.21506827,0.20357698,0.20172715,0.20468713,0.20816128,0.20621288,0.19338419,0.165357,0.12465521,0.08061158,0.044587303,0.022189476,0.012120593,0.010306761,0.015109137,0.028698683,0.052295383,0.083830714,0.11529559,0.14026324,0.15458705,0.1614689,0.16494113,0.17129922,0.18349944,0.20293646,0.2269516,0.2521372,0.2743988,0.290049,0.29606882,0.29091856,0.27530584,0.24919759,0.21342915,0.16942948,0.12362596,0.0824892,0.05149581,0.030644923,0.018506061,0.013757348,0.018347418,0.035961706,0.06675211,0.103889205,0.13258061,0.14066714,0.12458021,0.0957269,0.07244264,0.075012855,0.11128777,0.17321272,0.23384003,0.2656778,0.2551922,0.21561651,0.17479116,0.15666068,0.16389368,0.18063056,0.19021185,0.19101407,0.19491933,0.21179225,0.23864502,0.26396403,0.2784209,0.27922678,0.26907897,0.25225785,0.23614807,0.22506791,0.2186594,0.20798576,0.1853198,0.14956072,0.108498625,0.07172155,0.045388162,0.03304141,0.03732243,0.05880745,0.09122622,0.122024916,0.1385939,0.13753943,0.12529844,0.11454278,0.11371849,0.125143,0.14434002,0.16549517,0.1811468,0.18282898,0.16440274,0.12988396,0.09429687,0.075743124,0.080714144,0.10402664,0.1325131,0.15886599,0.17894606,0.19354834,0.20105577,0.20151567,0.19667645,0.19089918,0.18847261,0.18880169,0.18836398,0.18264563,0.17265242,0.16421743,0.16421753,0.17243612,0.18175876,0.18329866,0.17751789,0.16892587,0.16380344,0.15850656,0.15123022,0.13942546,0.13005494,0.12789756,0.13775422,0.15506941,0.17007494,0.17071964,0.15152867,0.119126715,0.08942213,0.07973722,0.09714321,0.13390669,0.17222416,0.19527115,0.19567639,0.17628306,0.1447496,0.11000133,0.077945225,0.052580982,0.033911593,0.021424785,0.01339619,0.009021255,0.0070170946,0.0074482653,0.0122159,0.026722766,0.055952173,0.10087653,0.1522244,0.19502778,0.21616454,0.21620457,0.20749684,0.20198292,0.20051914,0.19456191,0.1817171,0.16795416,0.16244636,0.16512573,0.17140155,0.17663635,0.17909592,0.17435442,0.15704368,0.12567808,0.087224446,0.051974114,0.027886724,0.018314993,0.024852721,0.04989721,0.09119185,0.1405937,0.18121575,0.19950378,0.18888493,0.15784164,0.122593075,0.09899107,0.092402756,0.09631083,0.104043506,0.11309288,0.12810922,0.14896469,0.17257299,0.19049989,0.19795485,0.19233437,0.17719418,0.15750201,0.13940834,0.12818377,0.12815255,0.14085357,0.16126882,0.18144502,0.1936342,0.19709706,0.19363455,0.1856305,0.1714781,0.14920798,0.11932299,0.08596637,0.056397676,0.03702702,0.03413333,0.048820693,0.07789298,0.11150703,0.14197277,0.1664281,0.18793362,0.20702678,0.2183008,0.21494304,0.1951885,0.16668625,0.13997354,0.123387784,0.117759965,0.118776,0.12162783,0.12529588,0.13253911,0.14635843,0.16538157,0.18440527,0.19605231,0.1970077,0.18868339,0.1756079,0.16215636,0.14968865,0.13789004,0.123197354,0.10404726,0.08465154,0.07613058,0.08750776,0.11628536,0.15107949,0.18287604,0.21103059,0.23727374,0.25591418,0.2586579,0.24344558,0.22173937,0.20887397,0.21434183,0.23573375,0.2620598,0.28073224,0.28424355,0.27465725,0.2600501,0.24611233,0.22993366,0.20412868,0.16564801,0.12095361,0.07994387,0.049844164,0.030725345,0.019868972,0.013691821,0.010396227,0.008652481,0.007831455,0.007427504,0.008499935,0.014882033,0.034021392,0.070664965,0.121138275,0.17080623,0.20814367,0.23344652,0.2590721,0.28938732,0.31447497,0.31748465,0.29445347,0.25793684,0.22653238,0.21234864,0.21616007,0.2303278,0.24362473,0.24662311,0.23706774,0.21890837,0.20091312,0.19310327,0.2001658,0.21639912,0.22318365,0.20657156,0.16615497,0.11790196,0.076439366,0.047826294,0.029787043,0.018718312,0.012634342,0.010281227,0.011771727,0.018052729,0.030371612,0.048250694,0.070563324,0.09831077,0.13373877,0.17635435,0.2148956,0.23496588,0.22686817,0.2016839,0.17900568,0.1765414,0.1896798,0.20195846,0.19701965,0.17743039,0.15870076,0.1568939,0.17246246,0.19468026,0.20940335,0.21285872,0.20506935,0.19113718,0.17115296,0.14855124,0.1233101,0.09863851,0.07418058,0.052212257,0.03347062,0.020602144,0.016019111,0.023919681,0.05007728,0.095648594,0.15434717,0.20652352,0.23273776,0.2201379,0.17768209,0.12601264,0.09067505,0.08389207,0.10526041,0.1433642,0.18491435,0.2183137,0.23633897,0.23837395,0.22731389,0.20926137,0.19015205,0.1769544,0.17326836,0.17627108,0.1780619,0.16987467,0.14942311,0.12215394,0.10289297,0.10853361,0.14523496,0.20069553,0.24678178,0.26337078,0.24650346,0.2140888,0.18370098,0.16771607,0.16401757,0.16660611,0.16963756,0.17046778,0.16793323,0.15714185,0.13544898,0.1032851,0.06904385,0.0422737,0.032435372,0.0455663,0.08243405,0.13390796,0.18240617,0.20965028,0.20952256,0.18939923,0.16700701,0.15593225,0.16056003,0.173837,0.18624847,0.19084303,0.18358798,0.16250023,0.1314775,0.104392834,0.09935521,0.12330372,0.16503808,0.20206605,0.22092867,0.2228121,0.2193023,0.21345808,0.20270373,0.18350516,0.16704716,0.16543056,0.18315966,0.20391716,0.20983891,0.19265611,0.16594261,0.1473452,0.1469199,0.1567286,0.16269903,0.15729386,0.14669144,0.1471864,0.16830342,0.20617914,0.23872875,0.24825405,0.23024173,0.20411108,0.1883568,0.19130182,0.19748048,0.19158031,0.16723323,0.14142108,0.13130687,0.14393727,0.16441242,0.17744339,0.17752998,0.17485698,0.17726655,0.18509491,0.18966973,0.18748657,0.1800401,0.17388211,0.1704024,0.16597866,0.15360151,0.12940055,0.096395396,0.06223096,0.035090026,0.01822005,0.010375886,0.0078345835,0.0075515746,0.009053446,0.0155386,0.033896916,0.06877456,0.11556951,0.15854937,0.18214194,0.18453036,0.17867917,0.1798343,0.19165222,0.20744173,0.21761163,0.21748476,0.20853566,0.19812019,0.19450398,0.19861454,0.2023413,0.19797586,0.18827961,0.18216978,0.18192685,0.17928977,0.16529398,0.13898893,0.10648582,0.07429417,0.04693198,0.027244942,0.01773585,0.02069417,0.03893437,0.072538465,0.11620504,0.15726198,0.18160789,0.18008523,0.15528211,0.121403225,0.098978795,0.101569735,0.12980701,0.16904573,0.2055704,0.22921568,0.24206974,0.24552204,0.24274029,0.23232816,0.21654224,0.20023228,0.18968807,0.18492568,0.17934598,0.16759242,0.1540141,0.14799426,0.15242173,0.15993007,0.16322716,0.16517355,0.17277701,0.1863298,0.19575648,0.19378358,0.18579353,0.18453515,0.19649784,0.21131374,0.21515481,0.20317994,0.1894985,0.18996404,0.208753,0.2329164,0.24770741,0.249089,0.24330352,0.23770197,0.23195761,0.22087629,0.19783075,0.16201666,0.11829095,0.07690427,0.047841117,0.03900434,0.053510826,0.08857422,0.13395773,0.17695248,0.20937721,0.23187451,0.24761982,0.25508347,0.24733491,0.22165532,0.18789387,0.16437858,0.16442032,0.18456501,0.20965858,0.22557694,0.23011495,0.22745757,0.22146223,0.20939793,0.19018674,0.16659607,0.14927822,0.14716281,0.16218968,0.18571514,0.20572023,0.21622859,0.21586686,0.20426416,0.17880897,0.14618692,0.12419766,0.13222755,0.17174298,0.22158413,0.25420633,0.25367048,0.22570884,0.18365805,0.1409386,0.10137018,0.06782917,0.0409244,0.02266924,0.012147672,0.0075254124,0.006738659,0.01081843,0.024741637,0.054267604,0.09823775,0.14518549,0.17988159,0.19643183,0.20138334,0.20426972,0.20624597,0.2020821,0.18951629,0.17352591,0.16134304,0.15608074,0.15843,0.16611016,0.17774653,0.18712167,0.19049864,0.18257733,0.16374464,0.13396437,0.09844812,0.06316159,0.035451088,0.018133538,0.0107520865,0.012684827,0.02748456,0.061095506,0.11358136,0.17473488,0.22549243,0.25145754,0.24833316,0.22624595,0.19854169,0.17737313,0.16459194,0.15743728,0.1520831,0.15111966,0.15853482,0.17540336,0.19600202,0.21131246,0.21366565,0.19864564,0.16835158,0.12795976,0.08661556,0.05076455,0.027003309,0.019121394,0.03230474,0.066736214,0.11831591,0.1746986,0.22427125,0.2569931,0.26969326,0.26331475,0.24397163,0.22042604,0.19913734,0.18365991,0.17348434,0.16793387,0.16460483,0.16163598,0.15855701,0.15748341,0.1593719,0.16200764,0.15831906,0.14307004,0.11481771,0.080978855,0.051974062,0.039490078,0.05018698,0.08477799,0.13608919,0.18989928,0.22938521,0.24141817,0.22565542,0.19554865,0.17257178,0.17021854,0.18778948,0.21142344,0.22830074,0.23150808,0.22360642,0.21189044,0.20521177,0.20900965,0.2205817,0.23275106,0.23829041,0.23556767,0.22727366,0.21607305,0.20561455,0.19652332,0.18940395,0.18060495,0.1694526,0.15806185,0.14983262,0.14312257,0.13084279,0.10909873,0.08039514,0.0530515,0.032313105,0.020007424,0.015487716,0.020323822,0.036091562,0.061602574,0.09059792,0.11604755,0.13598318,0.1544104,0.17649566,0.20153165,0.22320105,0.23325993,0.22773351,0.20854075,0.18239896,0.15596814,0.13281418,0.111957125,0.091905795,0.07155763,0.05235049,0.03547841,0.022530034,0.0139071345,0.009331932,0.0076897987,0.008595421,0.014371778,0.029744094,0.059259195,0.10111859,0.14771658,0.18633372,0.20950608,0.21470349,0.2103522,0.20592861,0.20812686,0.2098648,0.1987787,0.1706988,0.14069748,0.1325802,0.15758921,0.20435667,0.24888699,0.27502647,0.28118417,0.2754618,0.26087686,0.23609711,0.19760935,0.15041305,0.1025025,0.063176006,0.03522105,0.01883247,0.01319415,0.02089437,0.04757808,0.094266035,0.15364116,0.20523433,0.23017913,0.21726306,0.1754492,0.12605827,0.09688743,0.10648128,0.15311646,0.21623202,0.26419967,0.27836117,0.2553617,0.21320969,0.17062426,0.14462204,0.13753624,0.14432849,0.15463431,0.16181843,0.16461757,0.16419011,0.16132899,0.15423334,0.14073867,0.11938258,0.091488786,0.061760414,0.036771365,0.02190379,0.019424522,0.029242976,0.04978026,0.07897825,0.11339144,0.14997411,0.18441106,0.2123604,0.22893713,0.23208904,0.22499251,0.21286178,0.20126168,0.18980892,0.17841828,0.16562587,0.1539992,0.14513882,0.14249693,0.14711754,0.15663193,0.16300738,0.1596918,0.1482511,0.1405692,0.14883578,0.17498983,0.20607118,0.22161543,0.2097109,0.1764279,0.1469578,0.1437248,0.1729574,0.21550153,0.24877541,0.25873205,0.24915016,0.22788769,0.20371445,0.1826676,0.17326523,0.17988634,0.20154084,0.22530241,0.23562,0.21887517,0.17724077,0.12342308,0.07531146,0.041677292,0.023015512,0.0139589,0.01018951,0.008782019,0.00840293,0.008552622,0.010755013,0.01824146,0.0344311,0.05862227,0.0866845,0.11422988,0.1407937,0.16659124,0.1874389,0.1982316,0.19899225,0.2005303,0.21287884,0.23886482,0.2687583,0.2916359,0.30001238,0.29534343,0.28170756,0.26404005,0.24451105,0.22590144,0.20963092,0.19559808,0.18111823,0.16704594,0.15969779,0.16553319,0.18374251,0.202612,0.21197693,0.20523417,0.18713854,0.16151717,0.1378523,0.12067788,0.11456714,0.11313558,0.10844297,0.09281448,0.068763964,0.0432394,0.023933163,0.012873172,0.008655211,0.009729958,0.017499162,0.036558468,0.069167845,0.11306182,0.15772319,0.1912166,0.20414044,0.19661802,0.1780448,0.16033304,0.15304755,0.15508954,0.16311747,0.17000563,0.1743173,0.17373747,0.17001796,0.16342217,0.15534633,0.14600192,0.13672547,0.12882154,0.12271747,0.11694252,0.11069117,0.104387484,0.101218194,0.10318855,0.11068248,0.12093874,0.13312775,0.1482157,0.16680908,0.18299256,0.1886157,0.18073343,0.16570961,0.1537071,0.1488613,0.15091173,0.15451896,0.1576515,0.15572435,0.14805388,0.13426584,0.12030003,0.11262902,0.114322305,0.12011828,0.11899048,0.10400957,0.077091224,0.04816706,0.025937872,0.01360936,0.008912095,0.010856035,0.023375712,0.05647363,0.112833984,0.18207653,0.23773038,0.2628257,0.25672087,0.2394113,0.22412448,0.21671605,0.21133292,0.2075184,0.20370764,0.20130515,0.19890244,0.19777203,0.19830485,0.19920252,0.19784689,0.19299442,0.1878699,0.18509673,0.1871007,0.19188166,0.20006086,0.20850481,0.21554565,0.21537876,0.20737089,0.19369884,0.18175972,0.177664,0.18212931,0.18919218,0.1901654,0.18111767,0.16537432,0.14836754,0.13260694,0.115132086,0.093963645,0.06999599,0.047691394,0.030470842,0.019409826,0.01350747,0.012694801,0.01970798,0.04038572,0.07632173,0.12120708,0.15989204,0.18171959,0.18546939,0.18043847,0.17580847,0.17723857,0.18503807,0.19401817,0.1960722,0.18422985,0.16290493,0.14357013,0.13841611,0.14595091,0.15657522,0.15943106,0.15476881,0.14929113,0.15273656,0.16889139,0.19647817,0.22500533,0.24354136,0.24445069,0.2326789,0.2172126,0.20596464,0.19946826,0.19412519,0.18544549,0.16794376,0.13974966,0.1028355,0.0658539,0.03658591,0.018818958,0.010334664,0.007117829,0.0060609845,0.0057141264,0.0056185587,0.0055909115,0.0065445104,0.011913733,0.028304262,0.06217329,0.11238468,0.16820012,0.2123986,0.23560072,0.23622954,0.22133112,0.19276072,0.15388338,0.1080823,0.065805815,0.034967598,0.02072267,0.024969788,0.05190068,0.103331715,0.17120759,0.23348372,0.2643756,0.2506395,0.20261969,0.1492906,0.12244087,0.13444023,0.17460716,0.21336915,0.23171264,0.2257523,0.2124971,0.20488511,0.2080375,0.21518822,0.21933569,0.22097391,0.22317396,0.2309351,0.2394556,0.24448578,0.23895831,0.2231288,0.1984786,0.17054296,0.14691691,0.1352587,0.14314014,0.16785789,0.2005073,0.22255473,0.22472285,0.20558529,0.17898399,0.15679686,0.14898342,0.15207739,0.15979455,0.16398294,0.16823234,0.17766763,0.19629769,0.21608883,0.23038076,0.2349409,0.23279364,0.22474442,0.2134123,0.2022484,0.19589688,0.19205575,0.18322082,0.16107775,0.12650047,0.086817674,0.052684516,0.029152581,0.01875669,0.022617323,0.04678881,0.092909634,0.15528835,0.21194799,0.24384747,0.24256693,0.22346832,0.2056083,0.1997603,0.2009402,0.19893391,0.19310524,0.18904994,0.19571362,0.2096561,0.22226347,0.2229641,0.21266092,0.19804943,0.18702078,0.18064208,0.17679082,0.17277218,0.16859388,0.16652454,0.16988063,0.17986424,0.19475324,0.21033601,0.22386281,0.23141901,0.22972466,0.21665515,0.19602942,0.17580985,0.16193958,0.15697561,0.15885371,0.16572632,0.17292374,0.17566417,0.17150842,0.16369851,0.15889186,0.1600077,0.16548656,0.1719416,0.1766609,0.17675723,0.16574474,0.14104007,0.105089985,0.06863817,0.039576966,0.021728607,0.012473044,0.008852096,0.008301839,0.01089412,0.019264031,0.038126606,0.06841537,0.103797734,0.13310742,0.15257955,0.16990949,0.19754572,0.23736417,0.27790022,0.30145204,0.29733196,0.26533264,0.21803348,0.17253388,0.14711507,0.14750187,0.16796835,0.1906669,0.2029699,0.20155708,0.19599049,0.19324875,0.19573903,0.19779368,0.1971358,0.19277388,0.18700217,0.18061848,0.17332678,0.16542143,0.15610509,0.1461434,0.1326738,0.11367979,0.087787926,0.0594444,0.035409674,0.022565225,0.025073836,0.045954704,0.08388641,0.13308477,0.1793608,0.21012692,0.21727818,0.20869394,0.19880259,0.20480037,0.22729369,0.25807932,0.28317603,0.3058057,0.33037105,0.36053082,0.37698066,0.36649975,0.32126954,0.26012436,0.19786513,0.14934553,0.11094454,0.080449484,0.053181503,0.03291215,0.023488423,0.030678933,0.057768047,0.105371706,0.16682649,0.22857821,0.27477512,0.29593942,0.29255754,0.27347115,0.24866045,0.2264499,0.20711964,0.18799657,0.16368032,0.14019962,0.12834316,0.1398196,0.17119752,0.21071404,0.24342191,0.26144123,0.2609971,0.24722348,0.23120798,0.22771744,0.24022329,0.25894523,0.26675645,0.25414446,0.22616106,0.19689123,0.18033625,0.17982464,0.19051732,0.20207222,0.21137412,0.22398978,0.25555992,0.30924907,0.3684924,0.39617202,0.37082347,0.29842663,0.21233995,0.14066008,0.0974418,0.082946725,0.097820215,0.14240424,0.21117598,0.28792444,0.35245577,0.39243552,0.40946898,0.41387436,0.41403988,0.41210806,0.40667295,0.39856252,0.39121172,0.38915646,0.3942298,0.40588883,0.42014888,0.43418047,0.44710705,0.46404874,0.48970222,0.5248921,0.56046605,0.58349013,0.58439225,0.5639798,0.532049,0.4998891,0.4749317,0.45747766,0.4451157,0.43522426,0.4274815,0.42192256,0.41747436,0.41309956,0.40929902,0.4108002,0.42389634,0.4531546,0.49515876,0.5384777,0.5679081,0.57436424,0.5585468,0.5303509,0.49992356,0.47382188,0.4512302,0.4279817,0.39901224,0.36248186,0.3196602,0.27285704,0.2238837,0.17411579,0.12674776,0.08661535,0.05896287,0.047330625]