[4.517832E-06,3.798352E-06,0.00010651259,0.00095003616,0.0039815004,0.011111777,0.02266489,0.03604445,0.045934424,0.048145857,0.042137604,0.031568017,0.020832056,0.012756233,0.0076660905,0.005071136,0.004850357,0.0078266105,0.014284271,0.022837346,0.029942686,0.032396175,0.029231327,0.022572247,0.015391208,0.009770836,0.0061887787,0.004995449,0.0075356723,0.01625442,0.03172763,0.050653476,0.06552168,0.0700063,0.06258539,0.048001975,0.032472093,0.02039397,0.012647313,0.008803035,0.008715848,0.013166867,0.021995878,0.032811955,0.041166693,0.044277266,0.043413505,0.043387484,0.047327194,0.05354614,0.056844786,0.054499418,0.049482223,0.04808716,0.05333442,0.06185351,0.06653109,0.062966004,0.052143108,0.038868777,0.027227523,0.018932363,0.013656701,0.011369508,0.013264279,0.021387123,0.035701692,0.05225199,0.0638245,0.065103434,0.056021888,0.041810777,0.02822431,0.018571788,0.013665861,0.014336827,0.022530993,0.038652554,0.059010465,0.07533661,0.08045908,0.07257748,0.056639437,0.039435044,0.025834853,0.017392859,0.015415686,0.023082426,0.04597162,0.0856182,0.13609256,0.18262865,0.21312839,0.2231475,0.2180521,0.2024077,0.17778356,0.1452926,0.11540434,0.109303795,0.14880303,0.23726217,0.34929383,0.44020844,0.47547328,0.4509164,0.39329615,0.33484855,0.29544547,0.27564725,0.26843557,0.26645398,0.26612988,0.26493922,0.26141858,0.25537547,0.24827625,0.24112368,0.23276573,0.22029078,0.20196258,0.1795754,0.15828012,0.14385061,0.14073463,0.1501898,0.17025088,0.19473909,0.21634777,0.22963947,0.23441231,0.23371883,0.23001754,0.22227184,0.20721956,0.18457758,0.15987979,0.1413905,0.1319828,0.12536736,0.1122308,0.08955219,0.063743114,0.043925803,0.035026114,0.035598133,0.041680843,0.050799195,0.06496746,0.088663906,0.12297996,0.15994704,0.18475537,0.18597883,0.16410829,0.13133146,0.10254445,0.08702736,0.08509461,0.09094724,0.098005205,0.10396118,0.11179116,0.12573254,0.14530168,0.16299258,0.16847791,0.155594,0.12679312,0.09198904,0.06323034,0.048392966,0.04826382,0.058908705,0.07810379,0.106566094,0.14445457,0.18446563,0.21565779,0.23020045,0.23000537,0.22096801,0.20653914,0.18482237,0.15506788,0.1227265,0.09886981,0.09115392,0.097952835,0.10906965,0.11560422,0.11553522,0.11319635,0.11318915,0.11794534,0.12938838,0.14902,0.17646605,0.20637207,0.23126388,0.24513082,0.24711888,0.24071126,0.23098135,0.22200157,0.21480243,0.20771354,0.19804902,0.18541582,0.17391254,0.16929053,0.17437772,0.18437612,0.19087811,0.18674624,0.17230535,0.15246971,0.13401581,0.12004125,0.111809224,0.11016399,0.119628526,0.1434804,0.1792423,0.21341778,0.22970246,0.21749257,0.18059158,0.13254645,0.08949143,0.061803203,0.05295992,0.062049795,0.08560028,0.11832539,0.1518665,0.17858107,0.19351377,0.1961304,0.1866837,0.16550398,0.13432382,0.09948348,0.07164099,0.061468482,0.07338282,0.102700174,0.13771628,0.16740388,0.18644659,0.19634692,0.20026256,0.19963604,0.19376624,0.18300217,0.17075771,0.1619536,0.1592756,0.16003127,0.15763219,0.14578559,0.123188704,0.09410242,0.066095494,0.045905042,0.0375367,0.04105775,0.053959962,0.071236216,0.08817982,0.099813126,0.10302118,0.095121056,0.07747159,0.05441594,0.03314552,0.018556701,0.01324065,0.01829383,0.035954315,0.06602942,0.10362991,0.13848345,0.16293003,0.17530425,0.18087487,0.18472882,0.18960142,0.19528008,0.2018299,0.210378,0.22227317,0.23696534,0.25057212,0.25755852,0.25418764,0.2412491,0.22326235,0.20540522,0.19100045,0.1806562,0.17306234,0.16606228,0.15818655,0.14938205,0.14082742,0.13372882,0.12827672,0.12378815,0.11936471,0.11468891,0.110010795,0.10652127,0.10635769,0.11222155,0.1245481,0.14013301,0.15238185,0.15651856,0.15200432,0.14300787,0.13383116,0.12692326,0.12218966,0.11893109,0.116598226,0.114997976,0.11393552,0.11300502,0.11176577,0.10991625,0.10758922,0.10519614,0.10302046,0.10096213,0.09852842,0.095493875,0.0919362,0.08833533,0.08498353,0.08204912,0.079467826,0.07709435,0.07469636,0.07207752,0.06927073,0.06653702,0.06429052,0.06306083,0.06365576,0.06733591,0.07508492,0.08654502,0.098885775,0.10807034,0.11082385,0.1070661,0.09923039,0.09077594,0.08433181,0.08193995,0.085648805,0.096094735,0.11095208,0.12387513,0.12915425,0.12494448,0.11524179,0.10513503,0.097899795,0.09336347,0.09045961,0.08865606,0.08869386,0.09194949,0.099129446,0.10949341,0.12038076,0.1293583,0.13521308,0.13853693,0.13956279,0.1381234,0.13405459,0.12879698,0.12430895,0.12205111,0.12198008,0.12346629,0.12578265,0.12814403,0.12985381,0.130572,0.131046,0.13182573,0.13273972,0.13252175,0.13108402,0.12975973,0.13055085,0.1334607,0.1364214,0.13660409,0.13251887,0.12460918,0.11469539,0.10508267,0.09842715,0.09771366,0.10644714,0.12515916,0.15008973,0.172113,0.1842105,0.18430316,0.17735808,0.16838533,0.16029598,0.15268524,0.1452865,0.13855363,0.13343866,0.13035388,0.12903486,0.12870963,0.12840585,0.12739678,0.1259618,0.12519565,0.1261641,0.12844151,0.13041174,0.13029356,0.12795167,0.124057144,0.119890265,0.11555004,0.11246804,0.11230252,0.11823577,0.13006711,0.1447932,0.15588523,0.15928048,0.15521432,0.14884889,0.14521433,0.14603078,0.14885825,0.15087996,0.15110737,0.15112893,0.15196992,0.15333848,0.1538065,0.15385069,0.15684028,0.16732347,0.1871159,0.21207626,0.2343185,0.24671899,0.24759883,0.23958595,0.22646104,0.21011335,0.19151701,0.17285307,0.1588221,0.15422334,0.16037166,0.1727357,0.1838479,0.18856621,0.1876911,0.18594952,0.18683326,0.18946229,0.19011098,0.18674064,0.18185924,0.18087225,0.18764044,0.20076685,0.21463685,0.22259806,0.22035502,0.20641156,0.18285894,0.15528147,0.13199134,0.119236104,0.117567234,0.12175331,0.12674819,0.1321345,0.14132841,0.15583654,0.17156768,0.18131821,0.17955227,0.16575001,0.14361097,0.11989332,0.103245966,0.10105893,0.11615477,0.14282876,0.17087089,0.18910319,0.19224377,0.17934178,0.15443614,0.12305603,0.092638105,0.068985686,0.05579355,0.053969692,0.064361006,0.08596393,0.11475128,0.14192255,0.16033696,0.16782947,0.16886885,0.16787232,0.16676109,0.16461778,0.16199452,0.16180444,0.16758953,0.17943509,0.19262518,0.20056665,0.19997476,0.1927266,0.18254541,0.17060144,0.15492146,0.13391246,0.108759604,0.083456516,0.062298384,0.04900329,0.045217518,0.05022345,0.060178306,0.06989064,0.074759535,0.07300586,0.06667519,0.061407093,0.06427177,0.078220196,0.099087834,0.11606457,0.121352136,0.11564229,0.10948906,0.11240979,0.12574285,0.14033608,0.14507158,0.13553737,0.11811966,0.10599712,0.10953555,0.129189,0.15531498,0.17649196,0.18701613,0.18881522,0.18673915,0.18454349,0.184097,0.18725027,0.19631088,0.21204376,0.23179714,0.24989836,0.26160052,0.2653841,0.2630856,0.2566071,0.24664424,0.23231204,0.21296608,0.18934573,0.1645429,0.14288287,0.12777545,0.120396465,0.12039443,0.12719251,0.13940656,0.1537596,0.16570987,0.17252599,0.17498116,0.17587824,0.17613624,0.17362018,0.16500972,0.14969909,0.13048576,0.11197088,0.09756815,0.088241376,0.08237966,0.07727242,0.071466416,0.06692007,0.06761934,0.07648197,0.0917915,0.10882133,0.12204806,0.12923677,0.13104372,0.13051307,0.12984341,0.12982267,0.13001889,0.13061577,0.13272546,0.13725823,0.1436401,0.14973526,0.15370695,0.1552677,0.15575789,0.15638614,0.15740739,0.15806995,0.15746717,0.15475206,0.14945485,0.1418089,0.13295278,0.12426287,0.116376854,0.108684234,0.09993329,0.08908411,0.0762008,0.062998734,0.053261902,0.051961914,0.06231761,0.082705446,0.10623485,0.12507947,0.13585281,0.14142184,0.14752342,0.15710849,0.16864915,0.17788649,0.18205868,0.1808424,0.17586482,0.16875838,0.16089015,0.15334833,0.14748348,0.14459094,0.14527114,0.14832,0.15098697,0.1505274,0.14711672,0.14436442,0.14748752,0.15856154,0.17494757,0.19059084,0.20049243,0.20267224,0.19783543,0.18796317,0.17541003,0.16290052,0.15237948,0.14460735,0.13879569,0.13373612,0.12846369,0.12275422,0.116887845,0.11131393,0.106397994,0.10228159,0.09951809,0.09941465,0.10423934,0.114478804,0.12726788,0.13602662,0.13592888,0.12712733,0.11522203,0.10572344,0.100695185,0.098615564,0.09731811,0.09591525,0.09455224,0.093594044,0.09298853,0.0924339,0.091587834,0.09039713,0.089323826,0.089297794,0.09112776,0.094671965,0.09863142,0.10125222,0.10165792,0.100226164,0.0981705,0.096396714,0.09516075,0.09416815,0.09310701,0.09188662,0.09061584,0.08938357,0.08809046,0.08659317,0.08523816,0.08517713,0.08790291,0.093860574,0.10152718,0.10804478,0.11103649,0.10995296,0.105839424,0.100344926,0.09569239,0.09461459,0.100375324,0.113093674,0.12921374,0.1412159,0.14457162,0.13893563,0.12908068,0.11883537,0.11024346,0.102893196,0.09657893,0.09173546,0.0897774,0.092128016,0.098875195,0.10801494,0.116535,0.12299635,0.12825374,0.13412446,0.14076775,0.14672719,0.15014626,0.15044773,0.14842623,0.14585476,0.14501828,0.14748247,0.1532005,0.15977322,0.16416247,0.16448651,0.16169953,0.15833169,0.15651979,0.15609938,0.15601529,0.155829,0.15679789,0.15887758,0.16014893,0.15710229,0.14920522,0.13872243,0.12969173,0.1241234,0.12234453,0.124018215,0.12900649,0.13673186,0.1449339,0.15092869,0.15265216,0.15035479,0.14556004,0.14044525,0.13629623,0.1335156,0.13150984,0.12971576,0.12806733,0.12710737,0.12703413,0.12730606,0.12731178,0.12782979,0.13133116,0.13981645,0.15272845,0.16586165,0.17479908,0.17680788,0.1728761,0.16442826,0.15276267,0.13830276,0.124083124,0.11567316,0.11935496,0.13581584,0.15867324,0.17710406,0.18581466,0.1888236,0.19668812,0.21489453,0.23881046,0.25710368,0.26207277,0.25421807,0.2402463,0.22656292,0.2168432,0.21140124,0.21008432,0.21314271,0.22178172,0.23596954,0.25270453,0.26728368,0.2757647,0.277743,0.27476215,0.26893914,0.26099828,0.250757,0.23792212,0.22371638,0.21167783,0.20542325,0.20499933,0.20506115,0.19896871,0.1851235,0.1693124,0.16008897,0.16131842,0.1717679,0.19062482,0.22542419,0.28490105,0.36767936,0.44971332,0.5003546,0.5026036,0.47490153,0.4530257,0.4653574,0.5041685,0.5389393,0.53915244,0.50263023,0.44962028,0.4059291,0.38199842,0.37259516,0.36517942,0.3507751,0.3265512,0.29585564,0.26456243,0.23920964,0.22275616,0.2151829,0.21312052,0.21303396,0.2111424,0.20599514,0.19786616,0.18902554,0.18090725,0.17349876,0.16499643,0.15410344,0.14199011,0.13334332,0.13355656,0.14379196,0.15777417,0.16475622,0.15703577,0.13573341,0.109478295,0.08762818,0.0742159,0.06816247,0.06742043,0.072686136,0.0858609,0.10663127,0.13032527,0.15038504,0.16206346,0.16469215,0.16057481,0.1529515,0.14438395,0.13686495,0.13175441,0.13016795,0.13190876,0.13580827,0.13923912,0.14023264,0.13760614,0.13214675,0.1242509,0.11381096,0.10036567,0.08695742,0.08111427,0.090590395,0.115864456,0.14656876,0.16881144,0.17478336,0.16783148,0.15662397,0.14813584,0.144217,0.14393546,0.14599283,0.14941241,0.15276171,0.15438986,0.15347843,0.15117878,0.14969234,0.15009302,0.14999402,0.1449291,0.13243559,0.1185743,0.11817154,0.1509549,0.22710688,0.33893093,0.4556061,0.5397928,0.5656424,0.53654754,0.47867098,0.42313167,0.38768664,0.37282884,0.37081882,0.37382364,0.37787214,0.38072816,0.38077128,0.37730554,0.37027338,0.36064315,0.34818998,0.3326253,0.3133311,0.2921354,0.27256832,0.25875452,0.25141078,0.24703413,0.23988773,0.22737764,0.21169765,0.19784248,0.18827407,0.18148904,0.17328934,0.1605174,0.14232807,0.12076225,0.0989641,0.080568716,0.06775578,0.062063083,0.06357957,0.07188017,0.08422047,0.09633544,0.10308107,0.10221138,0.096523486,0.09385394,0.10285887,0.12663339,0.15970398,0.19002976,0.20658888,0.20522092,0.18997031,0.16963959,0.15253216,0.1435656,0.1432253,0.15002458,0.16246943,0.17937241,0.1978048,0.21172786,0.2146722,0.20400403,0.18341489,0.16042803,0.14189915,0.13189454,0.13244039,0.14439808,0.16539381,0.1882773,0.20373291,0.20670176,0.19971906,0.19030048,0.18450375,0.18391372,0.18653165,0.19021066,0.19411206,0.19870357,0.20396668,0.20822607,0.2078433,0.1998028,0.18496156,0.1693018,0.16054086,0.1622076,0.1725281,0.18934934,0.21870138,0.27222562,0.3557208,0.4531684,0.5326286,0.565816,0.5554904,0.5303579,0.52352357,0.5395296,0.55766726,0.550523,0.51279986,0.45962498,0.41291848,0.38266125,0.3668573,0.35852876,0.35310408,0.3482553,0.34126619,0.328688,0.30806673,0.28112993,0.25441262,0.23548387,0.22767963,0.22553843,0.22093429,0.20853913,0.1917197,0.1760581,0.1654318,0.1581132,0.15118383,0.14275472,0.13370252,0.12518421,0.117542505,0.11042061,0.10441059,0.101439364,0.10279837,0.10766653,0.112873554,0.115172386,0.11310234,0.108374335,0.10591108,0.112016045,0.13064359,0.159753,0.19143927,0.21669532,0.23044612,0.23307753,0.22766542,0.21742284,0.20529462,0.19417666,0.1861488,0.18066579,0.17516226,0.16705747,0.15590246,0.14325352,0.13157608,0.1230656,0.1188728,0.11876444,0.12228433,0.13015296,0.14411473,0.16280358,0.17989342,0.18630977,0.17905347,0.16332205,0.14917113,0.14083779,0.13474411,0.12296144,0.10248224,0.07837308,0.061447397,0.06072837,0.07733023,0.10264967,0.123101026,0.12765174,0.11430037,0.08967712,0.06415238,0.045414742,0.03704187,0.03932621,0.051441878,0.07105775,0.094237946,0.11538429,0.12840797,0.12900822,0.11685413,0.09627231,0.073707074,0.054254327,0.040471125,0.03335325,0.034055293,0.043167368,0.05963205,0.08009436,0.10019195,0.11572041,0.123718746,0.12306877,0.11611744,0.10912156,0.11061582,0.12694444,0.15708853,0.19221304,0.21922076,0.23004548,0.22508286,0.21271358,0.2009653,0.19375075,0.1896599,0.18586816,0.1802143,0.17337018,0.1679827,0.16747709,0.17247997,0.18103106,0.18922009,0.1941753,0.19337325,0.18609728,0.17343687,0.15985097,0.15021873,0.14868882,0.15728123,0.17629598,0.20280246,0.23024154,0.2517912,0.26380706,0.26681805,0.2619085,0.24981199,0.23492695,0.23004685,0.25600722,0.32596707,0.43091932,0.5321315,0.5858205,0.56881505,0.49733278,0.407968,0.33512422,0.29170254,0.2759638,0.28064266,0.301902,0.33289757,0.3607645,0.3671747,0.34621915,0.31386304,0.30570456,0.34737512,0.4313105,0.51239836,0.54121155,0.49880195,0.41033503,0.32061213,0.26205918,0.23888756,0.23696177,0.24130456,0.24580543,0.2511234,0.2582234,0.26560166,0.2737901,0.29099387,0.33335543,0.4108168,0.5133907,0.60598904,0.65394515,0.6479587,0.61951476,0.60817814,0.6299506,0.6546498,0.6409924,0.56925493,0.4650477,0.36956468,0.31252035,0.2922121,0.2911302,0.29113016,0.28564635,0.27646247,0.26844144,0.2639877,0.26316664,0.26562774,0.27262542,0.28347063,0.2930454,0.29231733,0.27660283,0.24968238,0.22222108,0.20280373,0.19347465,0.19004165,0.18683982,0.17930232,0.16522072,0.14460377,0.11998993,0.09563271,0.07653261,0.06719888,0.070741445,0.08708996,0.11134031,0.13468306,0.14879183,0.15044244,0.14215045,0.12899645,0.11528182,0.10388761,0.0969701,0.09628084,0.10196594,0.111516856,0.11992469,0.1224117,0.11884704,0.116154104,0.12559107,0.153684,0.19600177,0.23786493,0.2657083,0.2747412,0.27061543,0.26133344,0.2522613,0.24537623,0.24267732,0.24855256,0.26478204,0.2861761,0.29732955,0.28422335,0.24451548,0.19378239,0.15387543,0.13876732,0.14636296,0.1636693,0.17895274,0.18813236,0.19356366,0.19682455,0.1966048,0.19171296,0.18473387,0.18151183,0.18592842,0.1968184,0.2077667,0.21389991,0.21870995,0.23898323,0.29219025,0.37987757,0.4738691,0.53488797,0.5377239,0.49126235,0.42445114,0.36537755,0.32530752,0.30167353,0.28734395,0.2773008,0.27131596,0.2699484,0.2726793,0.27478376,0.2721771,0.26302397,0.25051802,0.23770641,0.22637002,0.21655983,0.21164268,0.21768974,0.23774715,0.26514253,0.2845899,0.28392145,0.26236448,0.23109503,0.20246994,0.1834326,0.1739373,0.17159726,0.17423,0.17982191,0.18524735,0.18625452,0.17957115,0.16545421,0.14864843,0.13668951,0.13504837,0.14348668,0.1551733,0.16245134,0.16223402,0.15944009,0.16189152,0.17415835,0.192554,0.20862113,0.21577854,0.21454842,0.21055259,0.20814662,0.20678651,0.20284395,0.1958675,0.18997921,0.19126499,0.20045628,0.2123196,0.21844107,0.21460529,0.20229493,0.18706991,0.17373048,0.16527851,0.1643693,0.17592847,0.203438,0.24324422,0.28051934,0.29868215,0.2913119,0.26892564,0.24934083,0.24409537,0.25183758,0.2627857,0.2683769,0.26559842,0.25780597,0.25062764,0.2488035,0.25284156,0.25948453,0.26529318,0.27010372,0.27642348,0.2851739,0.2948425,0.30665335,0.33124873,0.38294098,0.4644626,0.5517233,0.60688305,0.60602015,0.56676537,0.532312,0.5366235,0.5694062,0.5900154,0.5611547,0.48263285,0.38423434,0.30101717,0.24880618,0.2235138,0.2126,0.20637436,0.2010051,0.19571579,0.19025056,0.18551467,0.18568784,0.19870287,0.22705697,0.26151398,0.28042623,0.26856318,0.22818927,0.17986935,0.14282916,0.12364641,0.11525974,0.10833761,0.09919804,0.0917877,0.09340162,0.10732361,0.12870365,0.14680642,0.15452081,0.15397605,0.15321584,0.15722938,0.16324008,0.16613908,0.16331042,0.15710331,0.15002024,0.14483589,0.1440472,0.15028478,0.16300918,0.17799358,0.19077651,0.19980621,0.20679562,0.21312201,0.21915936,0.22488858,0.23135959,0.23868406,0.24461353,0.24469918,0.2363249,0.22076817,0.2030452,0.18766214,0.17686237,0.17170821,0.1755354,0.19327243,0.22443652,0.25760603,0.27302346,0.257391,0.21413447,0.1632991,0.1262903,0.11354741,0.11986965,0.1321451,0.13886501,0.13711214,0.13240564,0.13430338,0.14902769,0.17538536,0.20420374,0.22544974,0.23343627,0.22990657,0.21961038,0.20788616,0.19923367,0.19765295,0.20454572,0.2161807,0.22517724,0.22459601,0.2131151,0.19464172,0.17597274,0.16239397,0.15640879,0.15682541,0.1598834,0.16141044,0.16010457,0.15899356,0.16213697,0.17009063,0.17768027,0.17803484,0.16721578,0.14670418,0.12299449,0.106470965,0.11004355,0.14028458,0.18949969,0.23293896,0.24568135,0.21953309,0.16998093,0.12092399,0.08819514,0.0727771,0.06775979,0.06678609,0.067722596,0.07121816,0.07784557,0.086157046,0.0935244,0.0988979,0.10549904,0.1186986,0.1411056,0.16785735,0.189578,0.19845045,0.19416355,0.1819142,0.16821425,0.15670873,0.149418,0.14857602,0.15789743,0.17934404,0.20964675,0.23868664,0.25494885,0.25305703,0.23869492,0.22427551,0.21992595,0.22653723,0.23703122,0.24354135,0.24337776,0.23943573,0.23571034,0.23387097,0.23445809,0.24037956,0.25824115,0.2910144,0.33175242,0.36299965,0.37324667,0.36954546,0.37907472,0.42376295,0.4984976,0.56441873,0.57890165,0.5259352,0.431229,0.33819553,0.2789045,0.25630698,0.2548602,0.25752464,0.25732008,0.2553821,0.2547411,0.25619295,0.261274,0.27748254,0.31910142,0.3950608,0.49397102,0.5810924,0.62143046,0.6085462,0.57347256,0.557337,0.57585245,0.60626966,0.61136144,0.5716536,0.49942508,0.42379072,0.3679466,0.33692038,0.32151866,0.30991128,0.29565826,0.27994886,0.26771554,0.2634715,0.26901323,0.28395376,0.30633315,0.33044183,0.3466785,0.3452526,0.3245205,0.29304054,0.26421866,0.24656098,0.23989661,0.23819399,0.23495214,0.22719872,0.21621843,0.20640564,0.20174827,0.20327024,0.20925517,0.2176282,0.22824217,0.24121062,0.25543872,0.2672707,0.27338055,0.27213487,0.26404127,0.2496472,0.2289322,0.20325534,0.17722677,0.15866299,0.15374367,0.16260368,0.17764871,0.18851513,0.1892075,0.18356442,0.18278562,0.19731541,0.22758298,0.26352647,0.2917099,0.30519462,0.30582026,0.29984525,0.2915906,0.2829987,0.27683267,0.27957523,0.29496512,0.31779864,0.331848,0.3239236,0.29377022,0.25626218,0.22685498,0.21215661,0.20783174,0.20701824,0.20641959,0.2087323,0.21869344,0.23844402,0.26389417,0.28763965,0.30365834,0.31172845,0.31563762,0.3196136,0.32427344,0.32983196,0.3410083,0.37259746,0.43707767,0.5297933,0.6161368,0.65375686,0.61962867,0.53144747,0.42922458,0.3487384,0.3012334,0.27759418,0.2618995,0.24131055,0.21152015,0.17494301,0.13963814,0.11292229,0.098422974,0.093859084,0.09382767,0.092415206,0.085527845,0.07283569,0.058610503,0.051368937,0.058508724,0.08139939,0.11261791,0.14085066,0.15608208,0.15367134,0.13409728,0.10320765,0.071035035,0.048450723,0.041781038,0.050088782,0.06792703,0.09061271,0.1168556,0.146279,0.17545342,0.19775267,0.20769359,0.20553143,0.19703914,0.18896055,0.1838913,0.17898071,0.1687121,0.14995174,0.124991804,0.10118503,0.08698056,0.087635994,0.1021482,0.12337315,0.14090298,0.14609398,0.13692798,0.11950172,0.10555876,0.104965,0.12040067,0.14495039,0.1686722,0.18408065,0.19067134,0.19128378,0.18920673,0.18549562,0.18097885,0.17707564,0.1758811,0.17769152,0.1806351,0.181984,0.18103237,0.17941333,0.17926782,0.18104999,0.18331599,0.18438224,0.18366598,0.1821378,0.18108009,0.18075876,0.17964385,0.17597401,0.1701895,0.16561966,0.1660843,0.17227452,0.18379825,0.20417829,0.24620564,0.3206816,0.42235366,0.51884776,0.5743861,0.5762682,0.5540758,0.548014,0.577236,0.61593854,0.62629205,0.58648795,0.51439106,0.44147673,0.39330164,0.37145397,0.36630502,0.36573038,0.36353755,0.35675862,0.3446881,0.32825717,0.31135544,0.3004478,0.3020363,0.3167933,0.33703402,0.34929338,0.3451049,0.3264453,0.30445036,0.2890052,0.2834293,0.28448987,0.28769884,0.29038954,0.29250696,0.29530093,0.29959357,0.3043681,0.30769655,0.3090873,0.3114253,0.31891719,0.3332348,0.3514187,0.3678013,0.37832484,0.38206628,0.3810996,0.3776946,0.37375537,0.36975768,0.3656256,0.36098656,0.35586062,0.3505408,0.34576428,0.34516278,0.35710898,0.39205042,0.45064473,0.51558065,0.5566334,0.5531023,0.509052,0.4499549,0.40132138,0.37405407,0.36429098,0.36392668,0.36822507,0.37602583,0.38579246,0.39326718,0.3948981,0.39380467,0.40241885,0.43462142,0.4924604,0.5569012,0.59724814,0.5914816,0.5431558,0.4763243,0.41734722,0.37894702,0.3590943,0.34923318,0.34294853,0.33863962,0.33797,0.34191728,0.3509513,0.3668191,0.3957322,0.4439002,0.50958294,0.5751724,0.6130726,0.60250133,0.5460833,0.4691083,0.40170577,0.36085656,0.34520602,0.34405497,0.34724712,0.35027468,0.35258138,0.35557303,0.36010996,0.36656117,0.3728869,0.37661162,0.3759019,0.37324014,0.37339774,0.38075042,0.39509365,0.4110093,0.41995725,0.41424438,0.39268783,0.3615173,0.33183372,0.31191483,0.30388045,0.30383804,0.30654886,0.30843875,0.30891433,0.30880058,0.30908707,0.3094287,0.3119762,0.32375976,0.3602531,0.4313444,0.5298159,0.6190881,0.6576162,0.6222628,0.5315951,0.42531177,0.3414459,0.29325032,0.27585435,0.27637127,0.28517577,0.296497,0.3070931,0.31430718,0.31868985,0.32765868,0.3569244,0.41778055,0.5028353,0.57891726,0.60937613,0.578291,0.50431746,0.42134818,0.35698137,0.31898546,0.30299821,0.30249825,0.31440833,0.3360404,0.36067507,0.3780832,0.3798391,0.36523518,0.3405685,0.31539646,0.29669967,0.28802678,0.28776872,0.29213366,0.2967,0.2999928,0.30270186,0.30569845,0.30920658,0.3130375,0.31893334,0.32891467,0.34434435,0.36382356,0.38629198,0.41411313,0.4538268,0.50779694,0.5658557,0.6054577,0.6098586,0.5842212,0.55697566,0.5534697,0.5749724,0.5950356,0.5870933,0.54442567,0.48513663,0.4319609,0.3981072,0.38233855,0.37754676,0.37734398,0.37903664,0.38224515,0.38721082,0.39398244,0.40228033,0.41182566,0.42156276,0.4292307,0.43145204,0.42623404,0.41492513,0.40191898,0.39187893,0.3870156,0.38699737,0.38962236,0.39229277,0.39235237,0.38900676,0.38319102,0.37780014,0.37459365,0.37468734,0.37787202,0.38503608,0.39606372,0.40935847,0.4204481,0.42501915,0.42127803,0.4115301,0.39983335,0.38921642,0.3796452,0.36990464,0.35994396,0.35249647,0.3504635,0.35431728,0.36117947,0.3676275,0.37232697,0.3768369,0.38360086,0.39447674,0.40921506,0.4264008,0.4430797,0.45651603,0.4644806,0.46693063,0.46563515,0.46311322,0.4607948,0.45748535,0.45060292,0.43821183,0.4216344,0.4041811,0.38841748,0.3743398,0.36068773,0.34791982,0.33800092,0.33327112,0.33465764,0.3427713,0.3579441,0.37843624,0.39925694,0.41327044,0.41656342,0.41004336,0.39831892,0.38518855,0.37493622,0.37596273,0.40268755,0.46426225,0.55087584,0.62825894,0.658629,0.6256984,0.54820144,0.46208486,0.39676407,0.36056396,0.3466711,0.34417284,0.3450099,0.3445615,0.3408461,0.3342878,0.3274909,0.3232977,0.32319018,0.32593313,0.32866344,0.32884344,0.3274343,0.32921737,0.3390423,0.35550407,0.3696729,0.371225,0.35782814,0.3366793,0.31849495,0.3084861,0.3051314,0.30318007,0.29902422,0.292247,0.28618786,0.28632963,0.29686752,0.31732988,0.3411815,0.3607777,0.37155434,0.37510622,0.37492013,0.37414625,0.37330815,0.37240788,0.37099436,0.36861524,0.3650086,0.36014673,0.3550173,0.3501219,0.34588203,0.3414373,0.33619818,0.3310624,0.33161798,0.34838876,0.3902078,0.4522376,0.50975287,0.53081053,0.49978435,0.43106744,0.3570533,0.30421957,0.27824458,0.2698728,0.26846066,0.27170828,0.28213844,0.29940405,0.3146781,0.31844187,0.31216708,0.31486085,0.34848106,0.41734353,0.49557963,0.5441222,0.5375224,0.48220277,0.40717784,0.34220195,0.30222368,0.28555545,0.28354844,0.28717318,0.29236898,0.2974049,0.30194607,0.30614862,0.314747,0.33830416,0.38426018,0.4444885,0.49126086,0.49814144,0.46264753,0.41187203,0.37583542,0.362942,0.35657156,0.3387176,0.3074621,0.27617314,0.25726023,0.25258714,0.25605932,0.26146957,0.2665374,0.27112672,0.27537966,0.2789154,0.28171912,0.2849276,0.2909979,0.30302814,0.3206139,0.33780742,0.34405625,0.3329076,0.3072201,0.27848577,0.25793716,0.25044978,0.25370643,0.26219052,0.27065387,0.27615106,0.2783581,0.2787824,0.2789409,0.2789259,0.27757466,0.27373335,0.2675691,0.26027355,0.2533112,0.24773322,0.24422066,0.24332277,0.2451253,0.2497027,0.25670707,0.26557812,0.27471843,0.28223923,0.28699052,0.28921157,0.2911793,0.29760635,0.3174813,0.35971117,0.42419973,0.49202523,0.5319858,0.5205884,0.46180212,0.38384113,0.3183124,0.27976727,0.2647735,0.26345366,0.2706026,0.28525797,0.30433953,0.31941304,0.3209233,0.3072151,0.2862425,0.2703782,0.26600862,0.27099285,0.27815703,0.28236085,0.28290936,0.2820308,0.2816044,0.28200802,0.28238752,0.28213546,0.2810564,0.27995262,0.27961776,0.28071618,0.28384617,0.29266182,0.31520316,0.35877252,0.41857716,0.47228464,0.49180564,0.4649154,0.40598628,0.34409094,0.30109575,0.28048941,0.27331603,0.26952302,0.2645286,0.25745332,0.2494114,0.24084298,0.23264164,0.22467534,0.2172128,0.2100786,0.20405394,0.19967799,0.19721456,0.19571793,0.19412522,0.19179891,0.18897907,0.1856917,0.18144941,0.17527223,0.16664225,0.15534896,0.14165175,0.12634018,0.11140976,0.099223584,0.09107133,0.0859707,0.081820235,0.07696395,0.07118809,0.06555513,0.06232931,0.06535467,0.07743413,0.09784556,0.11950722,0.133606,0.13473098,0.12632315,0.11719739,0.115021296,0.11974374,0.12472242,0.12255903,0.11050812,0.09113673,0.06935128,0.050008815,0.036987834,0.0337518,0.042887583,0.06445211,0.09426993,0.12449863,0.14786683,0.16131075,0.16692704,0.16846435,0.1685253,0.16736937,0.16439433,0.15921813,0.15228254,0.14432132,0.1360299,0.1276241,0.11897663,0.10928238,0.09741309,0.08247879,0.06512365,0.047724266,0.033846222,0.027192019,0.03110834,0.04710788,0.07320312,0.10286796,0.12814878,0.14374879,0.14998336,0.15067548,0.14983486,0.14901738,0.1478859,0.14567368,0.14254068,0.13954048,0.13787867,0.13794436,0.13896668,0.13920836,0.13635077,0.12841058,0.11489085,0.09838208,0.08310912,0.07318829,0.0698617,0.07357616,0.08376949,0.09941432,0.116345584,0.1298578,0.13687499,0.13809745,0.13520384,0.12912323,0.12011343,0.11028552,0.10317368,0.10091403,0.1007398,0.096764505,0.08438196,0.064624675,0.042945575,0.02580893,0.0172711,0.01831866,0.027054757,0.040153008,0.054570545,0.06996823,0.08719955,0.10616694,0.122483216,0.13052486,0.12602767,0.109799765,0.08655298,0.06386692,0.0498642,0.04952101,0.06278316,0.08263138,0.10086877,0.11119012,0.115535446,0.119157456,0.12720512,0.13654025,0.14165235,0.14059629,0.14298083,0.16036052,0.19550295,0.23493712,0.26076055,0.26427904,0.25206223,0.2362284,0.22345519,0.21221209,0.20025279,0.1918598,0.19746076,0.22292276,0.26066646,0.2908179,0.29985657,0.2964413,0.3123727,0.37541363,0.48374283,0.59826344,0.6701958,0.67116314,0.6087962,0.51271707,0.41440704,0.33247146,0.2722403,0.23005015,0.19916809,0.17244917,0.14511198,0.11676857,0.095939964,0.10132078,0.15499242,0.26410508,0.40654397,0.5352939,0.6068394,0.6067865,0.5552309,0.48630917,0.4271737,0.3879793,0.36646178,0.35571596,0.35005736,0.34691405,0.34569466,0.34571287,0.3449528,0.34080902,0.33193544,0.31938586,0.30638373,0.2972628,0.29614007,0.30606952,0.3260473,0.34941277,0.3641105,0.36047187,0.3382586,0.30836928,0.28440574,0.27299568,0.270386,0.26701823,0.25480282,0.23228788,0.2051701,0.18238908,0.16886263,0.16126223,0.15134001,0.13388796,0.11176378,0.09212947,0.08061502,0.07835273,0.08466807,0.09956504,0.124052815,0.15740563,0.19540192,0.23026915,0.2552252,0.2674546,0.26922226,0.26349962,0.25190187,0.23491125,0.21473984,0.19552116,0.18092036,0.1725347,0.17082895,0.17684054,0.1906134,0.20734668,0.21658891,0.20763963,0.1777441,0.13767141,0.10803882,0.11047453,0.15143722,0.21680464,0.27524427,0.30163524,0.29025838,0.2571251,0.22026402,0.18808274,0.15798752,0.12829363,0.10460523,0.09712719,0.11117194,0.14106894,0.17250596,0.19246031,0.19786984,0.1968245,0.20003791,0.21182819,0.22744727,0.24230503,0.26206288,0.30642155,0.39150587,0.51125234,0.62658286,0.69002515,0.6746493,0.5947867,0.49030447,0.4005623,0.3428774,0.31311795,0.29791978,0.2880794,0.28170145,0.28138167,0.28747126,0.29998675,0.32103693,0.35838878,0.41556552,0.48251167,0.532768,0.5421615,0.50759816,0.45189536,0.40216303,0.3694177,0.34393808,0.3137058,0.2773185,0.24478586,0.22284763,0.20971902,0.19849385,0.19146025,0.20433946,0.25885907,0.3616583,0.49125358,0.6034915,0.6581741,0.64204973,0.5742396,0.4886558,0.41405416,0.36110207,0.3249916,0.294341,0.26269826,0.23214966,0.2102405,0.20132947,0.20300859,0.20816158,0.21128587,0.21112649,0.20940973,0.20736863,0.2045209,0.19926946,0.19100386,0.18092121,0.17129944,0.16330923,0.1552428,0.1441073,0.12768275,0.10742048,0.08747059,0.07579703,0.08212247,0.11585778,0.17632975,0.24848633,0.30526862,0.3247746,0.302624,0.25421113,0.20115559,0.15934134,0.133933,0.12367758,0.12568389,0.13844723,0.16070253,0.18962924,0.21908933,0.24236234,0.25558937,0.2601682,0.26032922,0.25978568,0.2598382,0.2622595,0.2731744,0.30562806,0.3697356,0.460718,0.54998535,0.6016086,0.5944331,0.539179,0.46708035,0.40910807,0.37789893,0.36859596,0.36881617,0.3702493,0.37116352,0.37359837,0.37819386,0.38368288,0.38828483,0.39193547,0.3954101,0.39962927,0.40416178,0.4091214,0.41486716,0.42219543,0.4268019,0.41866553,0.38500544,0.32238036,0.24165566,0.1641541,0.10679918,0.07382912,0.057705566,0.050066993,0.04866915,0.05872509,0.084514715,0.12304028,0.16106647,0.18447058,0.18656425,0.1739253,0.15889256,0.15229903,0.15667777,0.16907738,0.18351908,0.19532259,0.20091718,0.19986139,0.19367306,0.18620963,0.18008924,0.17641298,0.17392282,0.1712908,0.16917224,0.17419933,0.20149453,0.26741007,0.37269783,0.4886907,0.5674712,0.57444936,0.5144969,0.42772198,0.35711703,0.32247046,0.3177748,0.32858545,0.34598342,0.36656153,0.38371745,0.38355812,0.35269308,0.29137588,0.21696061,0.15408069,0.11663461,0.10179654,0.09510098,0.08687973,0.07868424,0.08219873,0.10531855,0.14483137,0.18601693,0.21477158,0.22636066,0.22666217,0.22439384,0.22383654,0.22639887,0.23628373,0.26718685,0.33297077,0.43322417,0.53951484,0.60855716,0.6090939,0.5452916,0.45141944,0.36698973,0.31439227,0.29429466,0.29558492,0.30606702,0.317435,0.3256165,0.32918048,0.33010778,0.3339087,0.3496338,0.38227,0.4246545,0.45630422,0.45782182,0.42878714,0.3897171,0.36447427,0.36002317,0.36452255,0.3630339,0.35109353,0.33592257,0.32553518,0.3228985,0.32524237,0.33150122,0.34576154,0.37899062,0.43704644,0.5104971,0.56860185,0.58036464,0.53644973,0.46070394,0.38932005,0.3465414,0.3324001,0.33359563,0.33744052,0.33931145,0.33927605,0.33854476,0.33686772,0.3346238,0.33293125,0.33444837,0.3404733,0.3503271,0.36041203,0.3695648,0.38286898,0.4130827,0.4673185,0.53521013,0.58596087,0.5911095,0.5453328,0.47260752,0.40487763,0.36149064,0.34204674,0.33680892,0.33788455,0.34281006,0.3502291,0.35627592,0.3557359,0.35027388,0.35193327,0.37903333,0.4381772,0.5141821,0.5723793,0.583766,0.5430699,0.47347227,0.40610942,0.36186305,0.342072,0.33715358,0.33660308,0.33567056,0.333532,0.3304378,0.32679403,0.3267752,0.34184638,0.3861365,0.46367002,0.55590785,0.6274903,0.64761037,0.61116797,0.5395352,0.46351805,0.40523633,0.37095204,0.35569358,0.35019502,0.34736022,0.3438935,0.34034863,0.33811033,0.33775923,0.33795473,0.3362296,0.3306255,0.32059374,0.3088527,0.30006206,0.30068365,0.31330845,0.33491504,0.35490784,0.36277616,0.3525251,0.32563496,0.285749,0.23718877,0.18518043,0.13837089,0.106035955,0.09404838,0.10203391,0.12403047,0.15127294,0.17511876,0.19111453,0.19962758,0.20417015,0.20699626,0.20796736,0.20656069,0.2041949,0.20483391,0.2117386,0.22549254,0.24212217,0.2565241,0.26534864,0.27029857,0.2753047,0.28323245,0.29305148,0.30447555,0.32306007,0.36323228,0.43505716,0.53125757,0.618134,0.6566145,0.62504774,0.53768975,0.43065825,0.34030613,0.2832282,0.2575415,0.25403675,0.26780736,0.29549286,0.3288469,0.35009244,0.3449515,0.31165946,0.26591018,0.22657186,0.20610072,0.20292677,0.20873374,0.21575652,0.2244967,0.23930843,0.26167938,0.28441927,0.29888988,0.30219248,0.3010567,0.3033781,0.3121604,0.32377252,0.33656195,0.3567495,0.398615,0.47034708,0.56229633,0.6430736,0.6789643,0.65354127,0.57998174,0.48851153,0.40828195,0.3525444,0.3196385,0.30151454,0.29230282,0.28953472,0.29185137,0.29685828,0.30478296,0.32089993,0.35393432,0.40551734,0.46342942,0.5048363,0.51342076,0.49135193,0.457338,0.42825556,0.40677717,0.38251063,0.34731087,0.30424097,0.26565662,0.24032004,0.22613096,0.21348588,0.20040262,0.20327084,0.24930672,0.35138762,0.48654866,0.60386044,0.6568002,0.63409144,0.5614586,0.47868732,0.41419545,0.3753071,0.35439196,0.3392994,0.3213166,0.29784563,0.27227536,0.25044,0.23658717,0.23094773,0.23071416,0.23285334,0.23511922,0.23663211,0.23678596,0.23604757,0.23434263,0.23158829,0.22674851,0.22019552,0.21286672,0.20649958,0.20145409,0.19747692,0.19348156,0.18996747,0.19031225,0.2024012,0.23166436,0.2741215,0.31191278,0.32651666,0.3118296,0.28115872,0.25460258,0.24560189,0.25375462,0.27027786,0.2860269,0.29633462,0.29997095,0.29685852,0.28674757,0.27141508,0.25437987,0.23999642,0.23014425,0.22469902,0.22247589,0.22576074,0.24211057,0.28603783,0.3664889,0.4768497,0.58550113,0.6553026,0.6624736,0.61440605,0.5385513,0.46593535,0.4145366,0.38654277,0.3746885,0.37006345,0.3677241,0.36568817,0.36341453,0.35992625,0.35535523,0.35118493,0.3503836,0.3546301,0.36322296,0.3738223,0.38513768,0.3979058,0.40983358,0.41235426,0.39174294,0.34119543,0.26761204,0.19038732,0.12774758,0.08763752,0.066241644,0.056399506,0.054442782,0.06260676,0.08364227,0.11543728,0.14852053,0.17205162,0.18056273,0.1782818,0.17427962,0.17609386,0.18429892,0.1946131,0.20144834,0.20212907,0.19697179,0.18863456,0.18014614,0.17385769,0.1707163,0.17046434,0.17192991,0.17307593,0.17319757,0.17782827,0.20304258,0.26832893,0.3778257,0.5047757,0.59980804,0.62330955,0.5726838,0.4823902,0.39577952,0.33941832,0.31613103,0.3165486,0.33157504,0.3538556,0.37312782,0.37352514,0.34492457,0.29680353,0.26348475,0.28266552,0.3658725,0.47988668,0.5662758,0.5784316,0.51244783,0.4033378,0.29807088,0.22633314,0.19109696,0.17859276,0.17563301,0.177011,0.18332696,0.19269516,0.20338969,0.21857518,0.2537689,0.32355806,0.4269557,0.5326695,0.5980005,0.5943088,0.53098273,0.44345585,0.36934674,0.32542714,0.3082398,0.30530748,0.30714986,0.30969462,0.31233117,0.31474042,0.3184274,0.32797667,0.35225856,0.39448878,0.44510707,0.4794725,0.47864807,0.44456303,0.40293312,0.37830555,0.3762815,0.38198355,0.37953103,0.36579773,0.34972274,0.34106597,0.34159812,0.3466835,0.35278377,0.36472973,0.39542052,0.45243463,0.52553445,0.5823875,0.59142137,0.5435682,0.46265328,0.38477507,0.33502257,0.31612238,0.31623846,0.3229051,0.32901552,0.33354628,0.3372599,0.34169748,0.34721836,0.35371757,0.3601298,0.36577144,0.3695061,0.3700689,0.36611724,0.35828117,0.34992003,0.34508646,0.34611467,0.3523945,0.36506617,0.3895181,0.43464854,0.50110775,0.5733573,0.6205988,0.6177833,0.5639071,0.48627043,0.41872382,0.37976134,0.3657279,0.36635575,0.38063625,0.41725743,0.47834578,0.5462634,0.5892058,0.58466244,0.5374791,0.4759229,0.42764542,0.40092418,0.38656676,0.37450948,0.36512032,0.36366573,0.3700229,0.37396953,0.3663542,0.34961796,0.3434346,0.37026533,0.4373925,0.52341944,0.58916706,0.60346013,0.5634352,0.49464294,0.4282498,0.38420257,0.36287513,0.35615066,0.354146,0.35248294,0.3496218,0.3465062,0.34396455,0.3431693,0.34487963,0.34887192,0.3539809,0.3583893,0.3619546,0.3661952,0.37450266,0.38748395,0.3997518,0.39901355,0.37453827,0.32638064,0.26793432,0.21630634,0.18076093,0.15869166,0.14493793,0.14284562,0.17054062,0.2444077,0.36092988,0.4814063,0.55827403,0.56548774,0.52721876,0.49061167,0.49055204,0.5153087,0.53016406,0.5082046,0.4580411,0.40358654,0.36296663,0.3334308,0.30553797,0.2738028,0.24193545,0.21525858,0.1963566,0.18369775,0.17817755,0.18828939,0.23106687,0.31591943,0.4276869,0.521777,0.5523115,0.5039219,0.40389383,0.29743597,0.217117,0.16935097,0.14579536,0.14001887,0.1548865,0.19317561,0.24642253,0.29183266,0.3088341,0.29344675,0.26160794,0.232754,0.21663381,0.21003069,0.20587283,0.20091097,0.19762301,0.19974317,0.20748979,0.21620017,0.22067446,0.22054304,0.22237019,0.23428917,0.25899407,0.2911253,0.32361403,0.35659242,0.39880168,0.45854655,0.5302329,0.5926178,0.6197738,0.600256,0.5444742,0.47870383,0.4273032,0.40076986,0.39419416,0.39673337,0.40026233,0.40282038,0.40506777,0.40796545,0.41077217,0.41321525,0.4148657,0.4163145,0.41726923,0.41744593,0.41650212,0.41562793,0.4152583,0.41224182,0.3985164,0.36702815,0.3191471,0.26641837,0.22292973,0.19564052,0.18198045,0.1766172,0.18094619,0.20754345,0.2706779,0.37106276,0.4822371,0.56440765,0.58985335,0.5694115,0.5383136,0.5269355,0.53039575,0.52290255,0.48426592,0.4234924,0.36382684,0.32259429,0.29717132,0.2772548,0.25763902,0.24636407,0.25457123,0.28362343,0.31720927,0.33417726,0.32994887,0.32678127,0.35367417,0.41696835,0.487094,0.5250172,0.5115202,0.46227884,0.40551364,0.3634502,0.3407308,0.33460072,0.34007588,0.35420653,0.37197194,0.38500607,0.3823271,0.3599931,0.32962516,0.3195012,0.35397205,0.43254742,0.51938206,0.5691882,0.5562977,0.49404076,0.41661897,0.35501745,0.3194916,0.304257,0.29836702,0.29434755,0.29041952,0.28866708,0.29229164,0.30456063,0.32948387,0.37392128,0.44140473,0.52477026,0.59894043,0.6343112,0.614108,0.55030143,0.47306606,0.41242287,0.38028833,0.3720101,0.37568983,0.3824927,0.38846406,0.3924485,0.39351547,0.39113843,0.3859075,0.37982103,0.37495306,0.3724881,0.37238786,0.3748009,0.38090098,0.39156535,0.40327528,0.4062893,0.38941622,0.34966817,0.29736614,0.25041237,0.22181086,0.21155624,0.2102078,0.21165453,0.22384809,0.26540962,0.34653223,0.45004097,0.53520197,0.56625813,0.5429433,0.50024533,0.47882214,0.4903982,0.5133324,0.51544756,0.4823606,0.42447722,0.3633832,0.31560233,0.28559366,0.27070895,0.26640847,0.2712805,0.28553557,0.30942804,0.3394806,0.37200716,0.40656888,0.4467101,0.48990217,0.5210375,0.5195133,0.4786867,0.4157058,0.35971192,0.33010963,0.326475,0.33699644,0.35156003,0.36720148,0.38262305,0.39280677,0.38791278,0.36155614,0.3175414,0.27165964,0.24218865,0.23904543,0.25836393,0.28647754,0.30971882,0.3212624,0.32296935,0.3204923,0.3180429,0.3161526,0.31315503,0.30863917,0.30336642,0.29814172,0.2911744,0.28250828,0.27890193,0.29839513,0.3563248,0.45068383,0.5494618,0.6110077,0.6067957,0.5425243,0.445796,0.34802392,0.2661383,0.20357583,0.15842675,0.13232955,0.1300541,0.15326549,0.19473223,0.24309802,0.29189178,0.34662035,0.41447487,0.4911499,0.5526078,0.57292837,0.5438644,0.4856607,0.42721948,0.38663802,0.3604858,0.33884478,0.3166304,0.29907596,0.29191446,0.29553208,0.30417696,0.3134198,0.32720527,0.357231,0.41000643,0.47384676,0.5187728,0.5202003,0.47855046,0.4211457,0.3770709,0.35817888,0.356351,0.35805437,0.3551509,0.34689125,0.33607402,0.32589257,0.31938294,0.31896794,0.3266016,0.34305534,0.3675537,0.39674905,0.42540094,0.4499186,0.47284856,0.50199825,0.5416921,0.58239764,0.602515,0.5832226,0.52531594,0.4499778,0.38404182,0.3430958,0.32662615,0.32572842,0.33262113,0.3442223,0.358632,0.37144175,0.37805927,0.3799754,0.38911167,0.41906106,0.47246206,0.5309756,0.5668631,0.5600593,0.514126,0.45014462,0.39278355,0.35570455,0.33886203,0.33469787,0.33519968,0.33736876,0.3416432,0.3492448,0.36033472,0.3760496,0.4028428,0.4473393,0.50805897,0.565809,0.59418124,0.5771337,0.5233189,0.45899805,0.4082953,0.3806199,0.36997068,0.3674874,0.3675457,0.37114117,0.38049778,0.39610633,0.41388217,0.4273341,0.43083373,0.42312166,0.40763965,0.39055952,0.3777447,0.37352958,0.38039103,0.3969783,0.41495273,0.41952208,0.3986366,0.35292086,0.2969302,0.24805051,0.21592604,0.20007807,0.19873713,0.2146643,0.25757194,0.33123732,0.42574382,0.5121207,0.5624556,0.567687,0.5485584,0.53517145,0.5423104,0.5555914,0.5497036,0.51247555,0.4578302,0.40961286,0.38383317,0.37892118,0.3845528,0.3900205,0.39004007,0.38544977,0.38130948,0.38346335,0.39470991,0.41730317,0.45508555,0.50887424,0.56700426,0.60376954,0.59828687,0.5511262,0.48750082,0.43440667,0.40536094,0.39541292,0.39498997,0.39693102,0.40028107,0.40331492,0.40086678,0.38440678,0.35319605,0.32110688,0.31261036,0.34134838,0.3941653,0.43585125,0.43733665,0.3983773,0.34573987,0.3083413,0.2960322,0.29849383,0.29996243,0.29379475,0.2845192,0.28083387,0.28668034,0.29977754,0.3180621,0.3462906,0.39354613,0.46003437,0.52778506,0.56814194,0.56317306,0.51981467,0.4638286,0.41939142,0.39597765,0.38835266,0.387236,0.38670203,0.38676322,0.3904239,0.39888147,0.40967557,0.4165072,0.41445675,0.40183058,0.3834723,0.36609578,0.35676876,0.35700056,0.36585915,0.3779073,0.38671815,0.38291717,0.36129466,0.3241289,0.2828878,0.24989833,0.23069482,0.22224897,0.22010903,0.22708823,0.25656503,0.3211361,0.4170995,0.51321954,0.5693233,0.56387323,0.5171252,0.4706768,0.45444167,0.46038246,0.46127665,0.4389751,0.4008331,0.36353052,0.33545896,0.31250873,0.28902504,0.26560864,0.2488084,0.24541195,0.2576737,0.28089955,0.30776128,0.33492005,0.36892423,0.41625693,0.47225657,0.51382285,0.5188822,0.4833676,0.4282211,0.37953284,0.35133198,0.34160927,0.3418553,0.3480583,0.35964128,0.37606207,0.3893756,0.3887796,0.36962247,0.34455183,0.3392416,0.3712838,0.42980132,0.47673807,0.47741035,0.42898798,0.3621976,0.3130915,0.2974571,0.3076444,0.32784143,0.34652176,0.35928014,0.36522016,0.36575755,0.3637458,0.3645226,0.3753873,0.40527394,0.45772886,0.524337,0.5813976,0.6035518,0.579516,0.5226161,0.45947906,0.41278753,0.38825727,0.37838724,0.3732371,0.36867785,0.36582008,0.36637604,0.36975488,0.3737974,0.3767233,0.3777733,0.37712577,0.37506166,0.37216082,0.36948326,0.36956063,0.37513316,0.38535216,0.39277253,0.3867947,0.3630912,0.3293889,0.30047676,0.28694972,0.28860512,0.2978475,0.3071879,0.31397948,0.31978396,0.32679582,0.3351021,0.3434166,0.35326827,0.37272158,0.41134366,0.4700075,0.5311194,0.5677493,0.56021714,0.5131322,0.44848228,0.39148605,0.35425043,0.33686164,0.33169547,0.33158132,0.3317438,0.3318942,0.3340023,0.34098923,0.35633433,0.38553843,0.4314467,0.4850184,0.5218416,0.516876,0.46603683,0.39330745,0.33256269,0.30359244,0.30309412,0.31649348,0.33239034,0.34916008,0.3681337,0.38686395,0.39620104,0.3886609,0.36544037,0.33808887,0.31958613,0.3165381,0.32675603,0.34341002,0.35971606,0.3714762,0.37778723,0.38011703,0.38122904,0.3832312,0.3860391,0.38655722,0.38082418,0.36776587,0.3516028,0.34075022,0.34496412,0.37349486,0.43015122,0.5070612,0.5801824,0.62025046,0.60978216,0.556295,0.4844685,0.42035452,0.3769884,0.3545065,0.34558776,0.34314767,0.34296152,0.3441846,0.34747887,0.3552389,0.372515,0.4074453,0.4629519,0.52827835,0.5756435,0.57902575,0.53361267,0.4650961,0.4074457,0.3796744,0.37406197,0.37336174,0.36646175,0.3562909,0.3491772,0.34878477,0.3534275,0.36314848,0.3826733,0.42035684,0.47658786,0.53451747,0.5632945,0.54093176,0.47423127,0.39671254,0.3421295,0.32293063,0.32904658,0.34456345,0.35913765,0.37043938,0.37852785,0.38393244,0.38676694,0.38834414,0.3906374,0.3946357,0.39898637,0.400131,0.39643335,0.39048827,0.39042345,0.40348506,0.43007806,0.4577347,0.47077584,0.46268415,0.44920814,0.4535378,0.48686337,0.5294458,0.54940695,0.5268309,0.47461525,0.4215896,0.39025417,0.3802077,0.37971044,0.38132083,0.3908739,0.41764817,0.46120486,0.50481635,0.525573,0.5106457,0.4674724,0.41798642,0.38231322,0.36715332,0.36493528,0.36443436,0.35882226,0.34944847,0.34082377,0.33681,0.3386141,0.34929478,0.37675616,0.42910782,0.50334466,0.57688016,0.61863637,0.60887915,0.5552242,0.4843494,0.42339754,0.38482204,0.36642504,0.3602115,0.35900855,0.35962245,0.36084458,0.36257473,0.3659531,0.37527356,0.39973012,0.4450481,0.5055712,0.5569923,0.57412577,0.5471202,0.494537,0.44346642,0.4123182,0.39800486,0.39000097,0.38007817,0.36950108,0.36178818,0.35957047,0.3616754,0.3671801,0.3783081,0.40220603,0.4434774,0.49471164,0.53434867,0.5408308,0.5103236,0.46011612,0.41448566,0.3871952,0.37762043,0.37913394,0.3896958,0.41497955,0.458879,0.5135316,0.55419767,0.55738646,0.51643705,0.4516782,0.38994613,0.34966922,0.3304272,0.32697526,0.33786914,0.36940852,0.42347822,0.48789254,0.5361548,0.54533225,0.5130412,0.46084416,0.41555345,0.39193884,0.38704225,0.3919671,0.40285242,0.42363405,0.45792925,0.49854136,0.52744013,0.52552825,0.48875132,0.4301655,0.3723693,0.33182952,0.3145254,0.31879565,0.34338126,0.38798115,0.4467586,0.50325847,0.53511894,0.5293788,0.49139404,0.44176412,0.40032497,0.37662396,0.368906,0.3746966,0.3964747,0.43984437,0.5016056,0.5626877,0.59556603,0.5832644,0.532754,0.46870854,0.41434574,0.37817815,0.3548346,0.3354777,0.3135105,0.28633356,0.25312445,0.2152887,0.17584474,0.13965985,0.11158884,0.0948415,0.0887374,0.08877995,0.088621646,0.0847056,0.07931361,0.08073108,0.09598941,0.12457516,0.15561296,0.17639725,0.17945476,0.1660497,0.1413325,0.1116262,0.08419943,0.066577345,0.06360807,0.07359054,0.090812266,0.11030561,0.1307709,0.1525892,0.17358589,0.19056076,0.20091186,0.20596075,0.2076356,0.20755766,0.20572555,0.20251888,0.198843,0.19544615,0.19181125,0.18572693,0.17444812,0.1564527,0.13352607,0.110845916,0.094607405,0.08809877,0.08944335,0.09314168,0.09360096,0.08914871,0.08281308,0.08211213,0.09336448,0.11784429,0.14765511,0.17196085,0.1822185,0.17874955,0.16808902,0.15930933,0.15821964,0.16484821,0.17517547,0.18438523,0.19047059,0.19312324,0.19280185,0.18971288,0.18492003,0.18034142,0.17777117,0.1776244,0.17859595,0.17891182,0.17766708,0.17566843,0.17441916,0.17504771,0.17749725,0.18184377,0.19127966,0.21477121,0.264958,0.34689593,0.44752455,0.53576165,0.58146024,0.57436365,0.52921325,0.4720193,0.423712,0.39334324,0.37988234,0.37804413,0.3813283,0.38499406,0.38656864,0.3861589,0.38480338,0.38352337,0.38254735,0.3815526,0.37976435,0.37678015,0.3739848,0.37526765,0.3844581,0.4003478,0.41439724,0.41583875,0.4004215,0.37453672,0.3498964,0.33489946,0.33027196,0.3318045,0.3351284,0.3384173,0.341916,0.34575173,0.34873948,0.3496302,0.3515433,0.3639374,0.39671752,0.44855604,0.50102246,0.5288504,0.5178155,0.47492865,0.42069927,0.3747604,0.34608838,0.33412585,0.33361033,0.33962107,0.34898648,0.3601023,0.3714209,0.38225403,0.3952659,0.4172819,0.45304084,0.49543,0.5241966,0.519508,0.48027697,0.42607346,0.38185468,0.35891291,0.35383633,0.3574901,0.3663949,0.3813747,0.40348926,0.42779958,0.44544634,0.45010802,0.44593957,0.44795108,0.46876535,0.50607467,0.5384839,0.54386187,0.51489717,0.46572545,0.416549,0.38127983,0.36166176,0.3535593,0.35180947,0.35313845,0.3559763,0.3599104,0.3651456,0.37330723,0.38912156,0.42070317,0.47222486,0.53615206,0.58899957,0.60559773,0.57432956,0.5083975,0.43416998,0.37632796,0.34421527,0.33340392,0.33264205,0.33290902,0.3314849,0.33043984,0.33289003,0.33983576,0.35061005,0.36354327,0.37701857,0.38930437,0.39962754,0.4083762,0.41724384,0.42759565,0.43864176,0.44696382,0.4484986,0.44267747,0.4331214,0.42507732,0.42070842,0.4185823,0.4160427,0.412384,0.4089738,0.4079566,0.41008094,0.4146532,0.4201357,0.42803904,0.44409975,0.4759791,0.52196795,0.56500196,0.57834333,0.5471397,0.48166704,0.41164577,0.3633971,0.34510732,0.34830093,0.36080766,0.37480724,0.3881803,0.39993265,0.4087101,0.4130946,0.416497,0.4276044,0.4548411,0.49584326,0.53360605,0.5467141,0.5253864,0.4804013,0.43448317,0.4063263,0.3996868,0.4062012,0.41538182,0.4220705,0.4263796,0.42913413,0.42979124,0.4285244,0.43043566,0.44602588,0.48432645,0.54361844,0.60491854,0.6409287,0.63191986,0.5817645,0.5148868,0.45997867,0.43166658,0.42609456,0.43054923,0.43521258,0.43805155,0.44129744,0.44620785,0.45256424,0.46118677,0.47858682,0.511928,0.562823,0.6170861,0.65242815,0.6485766,0.6043983,0.53584385,0.4683542,0.42054793,0.39824986,0.3952595,0.4011122,0.40768638,0.41152915,0.41298306,0.41521588,0.42414084,0.4479532,0.48910913,0.53835243,0.573261,0.5756981,0.5441121,0.4976304,0.4570898,0.43307444,0.42166176,0.41621408,0.4131931,0.41368577,0.41862115,0.42700753,0.43650207,0.44635546,0.4597211,0.48317066,0.51927054,0.5601966,0.5867645,0.5834911,0.5498292,0.50312275,0.4623824,0.43795907,0.42786705,0.4266151,0.42867395,0.4308286,0.43050694,0.42756143,0.42365527,0.42131352,0.4210889,0.42118406,0.41910717,0.41389704,0.40757445,0.40446022,0.41134664,0.43392202,0.47268042,0.5168406,0.5495898,0.55716234,0.5408065,0.51246226,0.4867659,0.46999344,0.46176374,0.45816997,0.45625994,0.4543843,0.45130637,0.44706085,0.44268623,0.44269216,0.45338675,0.4794483,0.51656276,0.548747,0.5580078,0.5374294,0.4997317,0.4643884,0.4444201,0.43765065,0.4364754,0.43544832,0.43498445,0.43697378,0.4410548,0.44464505,0.4452702,0.44578615,0.4550977,0.48445663,0.5373883,0.60249716,0.6554475,0.6713876,0.6402431,0.57300514,0.49530348,0.43258563,0.39803597,0.3898687,0.39734367,0.40911135,0.41850427,0.4235587,0.42517066,0.42464224,0.42343017,0.42243686,0.42228317,0.42308757,0.4250858,0.42882383,0.4344339,0.44078612,0.44435075,0.4415861,0.43116295,0.41717896,0.40561804,0.40105355,0.4025521,0.40642536,0.40865722,0.40734288,0.4021175,0.39401093,0.38523063,0.37842414,0.37493098,0.37425673,0.3742465,0.37340185,0.3708365,0.3671861,0.36302552,0.35930753,0.35623387,0.3532646,0.34931588,0.3434348,0.33633205,0.3292624,0.32409307,0.32056746,0.31741917,0.31139883,0.30113128,0.28713167,0.27338678,0.26298383,0.2569252,0.25280073,0.24838787,0.24319841,0.23871513,0.23633315,0.23533458,0.23325092,0.22738652,0.21873611,0.21264072,0.21496679,0.22584398,0.23743914,0.24079482,0.23192275,0.21432532,0.1934595,0.17398967,0.15813798,0.14627087,0.13707586,0.12927641,0.124879666,0.12806715,0.14172284,0.16233344,0.18252526,0.19559884,0.2007467,0.20141329,0.20251198,0.20951737,0.23020677,0.27421972,0.34274802,0.42047834,0.476209,0.48436943,0.4416128,0.37056705,0.30008826,0.24901551,0.21976064,0.2061977,0.20119072,0.2003798,0.20174253,0.20430446,0.20736708,0.21022713,0.21238434,0.21370663,0.2143261,0.2144386,0.21417068,0.21368712,0.21319215,0.21288948,0.21288037,0.21315688,0.21359211,0.21394312,0.21388306,0.213179,0.21184711,0.21019597,0.2085982,0.20727311,0.20624162,0.20543768,0.20481358,0.20427094,0.20372598,0.20314468,0.20265286,0.20235254,0.20224686,0.20219745,0.20197737,0.20126517,0.19964145,0.19712691,0.19445513,0.19319333,0.19446345,0.1983401,0.20343983,0.20822948,0.21153487,0.21298593,0.21243839,0.20987457,0.2054029,0.19948094,0.19315793,0.18768506,0.18371694,0.18025668,0.17474262,0.16439468,0.14789897,0.12657504,0.103752166,0.08349371,0.06839174,0.058937144,0.053710297,0.05105022,0.049734306,0.04919676,0.0489689,0.048663512,0.048036072,0.04707873,0.045869138,0.044457447,0.042941928,0.042080287,0.04381363,0.05154596,0.06774106,0.09145739,0.116418265,0.13486467,0.1419761,0.13941853,0.1325484,0.12656313,0.123405926,0.122504294,0.12267393,0.123553604,0.12553227,0.12859441,0.13170154,0.1331466,0.13200442,0.12897654,0.12604149,0.12491393,0.12582593,0.12753849,0.12852071,0.12816547,0.12709618,0.12645043,0.12692928,0.12824078,0.12946571,0.12975328,0.12901662,0.1278286,0.12694196,0.12671183,0.12710719,0.12805335,0.129681,0.13211179,0.13498122,0.13746445,0.1387058,0.13850822,0.13712592,0.13466568,0.13026822,0.12239418,0.10993082,0.09352928,0.07588007,0.060520872,0.050918426,0.049797624,0.059798505,0.08105392,0.10979875,0.1364162,0.15104415,0.14871152,0.13482997,0.120269775,0.11414052,0.115927875,0.11803723,0.11230198,0.097142555,0.07680594,0.057602454,0.04434809,0.0406944,0.050486863,0.07576696,0.11382997,0.15500297,0.18815845,0.2065544,0.21205886,0.2109288,0.20915031,0.20876914,0.20889492,0.20671755,0.19953401,0.1860065,0.16806732,0.1497357,0.13469462,0.12293997,0.11126906,0.096015565,0.07665823,0.056289148,0.04007523,0.033001475,0.039386425,0.061163425,0.09631667,0.13678347,0.17232756,0.19520438,0.20483027,0.20546205,0.20261335,0.19942684,0.19673888,0.19409436,0.1908936,0.18692856,0.18256103,0.1787228,0.17646205,0.1762848,0.1777097,0.17915237,0.17806397,0.1714497,0.1571087,0.13579132,0.11145607,0.09051499,0.078665115,0.07977005,0.09345236,0.11507309,0.13660954,0.15120815,0.15613002,0.15228164,0.14151727,0.12639804,0.11222669,0.10604014,0.11118398,0.12207651,0.12723146,0.11754677,0.09355111,0.06414022,0.040315457,0.029212592,0.031033322,0.04067467,0.050226897,0.055212278,0.056501657,0.060561985,0.072400324,0.09190432,0.111996956,0.12455025,0.124372445,0.1135824,0.1002959,0.09715941,0.11237836,0.14316972,0.17258246,0.18343551,0.17124325,0.15060662,0.13898034,0.14295329,0.15144621,0.1516339,0.14036684,0.13039397,0.13497685,0.1565491,0.18036205,0.18838735,0.1718459,0.13761644,0.09929842,0.0675095,0.045405,0.03289882,0.031325314,0.045216322,0.07544109,0.11499793,0.1473127,0.16012281,0.15318869,0.1422171,0.14206612,0.1565995,0.17323142,0.17825033,0.16757178,0.15220863,0.14482097,0.14934105,0.15646349,0.15613389,0.14694323,0.13928168,0.14270456,0.15705363,0.17108221,0.17780775,0.1857626,0.21903296,0.2959213,0.41034412,0.52756554,0.60672337,0.6250185,0.5911816,0.5340941,0.48411897,0.45693555,0.45184982,0.4591249,0.46920112,0.4773614,0.48296142,0.48700938,0.48991933,0.49063954,0.48758188,0.48072812,0.47328302,0.47023794,0.47528777,0.4878533,0.5026701,0.5100727,0.50063854,0.47049642,0.42736825,0.38528714,0.35514757,0.33482483,0.31323767,0.28260842,0.250935,0.2440304,0.28964737,0.3974055,0.54232913,0.6767704,0.75299615,0.7498483,0.6757116,0.55958813,0.4338911,0.32401887,0.24349445,0.1952232,0.1744705,0.17207517,0.17621058,0.17851128,0.18033649,0.19754444,0.24641247,0.32675883,0.4091989,0.4577273,0.4572802,0.43364802,0.42987788,0.47469297,0.5587543,0.6467639,0.6995371,0.69486475,0.63397837,0.53935874,0.44467545,0.37793195,0.34994516,0.35323557,0.3707657,0.3833953,0.37409917,0.3347231,0.27075687,0.2000544,0.14066638,0.101008005,0.07825447,0.06514818,0.05598988,0.0483883,0.041897196,0.036526263,0.032120936,0.028340437,0.024876365,0.021596143,0.0185607,0.015853051,0.013493426,0.011408407,0.009535574,0.007846336,0.0063654124,0.0051132017,0.004096996,0.0032946672,0.002670086,0.0021822955,0.001796628,0.0014872147,0.0012334505,0.0010193358,0.0008347815,0.0006760659,0.0005427722,0.00043346637,0.00034534335,0.00027516068,0.00022108003,0.00018166339,0.0001546789,0.0001360417,0.00012075544,0.00010528712,8.881307E-05,7.27144E-05,5.7960377E-05,4.435677E-05,3.1308802E-05,1.942615E-05,1.0160125E-05,4.4389967E-06,1.8083089E-06,9.647721E-07,7.631722E-07,6.5130985E-07,5.093127E-07,3.5409911E-07,2.0971851E-07,9.95241E-08,3.3174697E-08,6.6349397E-09,0,0]