[0.079594076,0.08952036,0.10806191,0.1246564,0.13159694,0.12701552,0.11266538,0.091599755,0.06814786,0.04837161,0.03808766,0.03919148,0.04884367,0.06234161,0.07727593,0.09349697,0.11038504,0.12466824,0.13216093,0.13068138,0.121484704,0.10855652,0.09671249,0.08978134,0.08964839,0.09732842,0.114755966,0.1434051,0.18086348,0.21836346,0.2456367,0.25735688,0.25647935,0.24999732,0.2433445,0.23808981,0.23335017,0.22807503,0.22175764,0.21440478,0.20651466,0.19876973,0.19208753,0.18687503,0.18327914,0.18090975,0.17974699,0.1802649,0.1830524,0.18730636,0.19056602,0.19142748,0.19182049,0.19607927,0.20394266,0.20901637,0.20189726,0.18120109,0.15338618,0.12931076,0.114190154,0.108553946,0.10893634,0.11222011,0.11485934,0.115238,0.11373773,0.112761736,0.113439836,0.11462692,0.11389934,0.110083014,0.10421729,0.09822618,0.09349389,0.08901208,0.08236602,0.070918664,0.055851083,0.042119395,0.036602046,0.04176128,0.053616464,0.063563876,0.06484731,0.056566264,0.043977205,0.03493853,0.03566597,0.0464028,0.06109765,0.07074389,0.07160337,0.067355245,0.06659454,0.073363334,0.08496159,0.09315908,0.09234104,0.08273866,0.07167377,0.06744423,0.07372445,0.08620346,0.09674677,0.10041714,0.09898558,0.09866926,0.10387901,0.11452081,0.12652126,0.1356881,0.14005737,0.14041817,0.13919629,0.13805836,0.13711333,0.13418366,0.12719218,0.11544106,0.1008966,0.08657119,0.074887,0.06690759,0.06251239,0.061405957,0.064110465,0.07279515,0.09055683,0.116246305,0.14367159,0.1637649,0.1760732,0.18793269,0.209312,0.2392969,0.26862743,0.28673664,0.2915525,0.28817397,0.284009,0.2841471,0.28948548,0.29757765,0.30379975,0.3052558,0.301657,0.2956674,0.28929982,0.28343034,0.27733624,0.27048516,0.2626967,0.25411746,0.2451917,0.23628789,0.22767192,0.21954452,0.21275039,0.20990078,0.21171796,0.21609394,0.21577139,0.20680171,0.18901229,0.1679657,0.14634235,0.12460836,0.10098825,0.07681448,0.055807516,0.04328038,0.042322826,0.05292177,0.07086155,0.09026039,0.104803674,0.110297345,0.10521232,0.092113964,0.07727447,0.06832867,0.06924925,0.07670107,0.08173746,0.07732558,0.06505233,0.05454063,0.055532645,0.06995358,0.09095576,0.10825377,0.11489209,0.11022387,0.098640084,0.08598853,0.076149516,0.07033167,0.068242826,0.070337564,0.07727239,0.08835983,0.09986868,0.107255876,0.10811355,0.10426364,0.10001189,0.099432535,0.104073636,0.11251244,0.12107385,0.12566511,0.12382356,0.11597579,0.10475329,0.09339418,0.08392071,0.07658575,0.07006406,0.062895365,0.054881956,0.04755697,0.04305401,0.04199211,0.043222368,0.04522964,0.04888167,0.05693984,0.0710156,0.08825774,0.10245245,0.10913956,0.110417455,0.11492004,0.13286205,0.16682917,0.20861413,0.24183603,0.25621617,0.25261894,0.2418611,0.23140281,0.22283493,0.21362896,0.20414549,0.19659455,0.19300021,0.1926853,0.19389983,0.19517106,0.19680487,0.2002951,0.20692599,0.21599405,0.2244618,0.22876072,0.22665937,0.2184454,0.20650612,0.19495969,0.18831837,0.18855399,0.19277339,0.1949044,0.19198139,0.1884439,0.19080657,0.1999278,0.20657127,0.2021765,0.18568064,0.16646463,0.15300876,0.14818929,0.14755867,0.14533599,0.13697518,0.12120754,0.100132294,0.07878792,0.0628834,0.05482194,0.052585706,0.050982814,0.04682501,0.040334012,0.035553772,0.03725594,0.04922931,0.07143428,0.09898034,0.12419536,0.14124577,0.14925857,0.15082686,0.14851688,0.14336,0.13561262,0.1259829,0.11535979,0.10534212,0.097696275,0.093943395,0.092276506,0.08881248,0.08025569,0.06932958,0.0635362,0.07024776,0.08992988,0.114951305,0.13441318,0.1405255,0.13246928,0.11482646,0.0942578,0.07600426,0.062297653,0.052677277,0.045772616,0.041561786,0.041342374,0.046249878,0.055341095,0.06632963,0.0770349,0.08674556,0.095354,0.10253497,0.10722223,0.108179875,0.104692586,0.097167306,0.0878546,0.08009673,0.07698723,0.07892642,0.08379043,0.09002445,0.099964134,0.12079982,0.15513249,0.19693244,0.23046386,0.24787915,0.25428304,0.26484084,0.28658238,0.312456,0.3297769,0.33139506,0.32207373,0.3101026,0.30266577,0.30033532,0.30047712,0.29932675,0.29548314,0.29010728,0.28433385,0.27810845,0.26937118,0.25869375,0.24809463,0.2416084,0.239541,0.24105696,0.24279366,0.24308564,0.23986675,0.23392309,0.22778189,0.22471602,0.22377789,0.21878375,0.20370899,0.178446,0.15001415,0.12658021,0.11289982,0.10906104,0.1115495,0.11522955,0.11662968,0.11817827,0.12705313,0.14700039,0.17203559,0.1882535,0.18683128,0.1695388,0.14927988,0.13874486,0.14774515,0.17555463,0.21399026,0.24690776,0.26432177,0.26593295,0.26214635,0.2608728,0.26336977,0.26533553,0.2638199,0.25982082,0.25597417,0.25409397,0.25269222,0.24855256,0.2391566,0.2264238,0.21640968,0.2142011,0.21897167,0.22277902,0.21774262,0.20066059,0.17565995,0.14919816,0.12866549,0.11948731,0.12458736,0.14112057,0.16280232,0.18484022,0.2085896,0.23752646,0.26968136,0.294997,0.30220652,0.28767696,0.25812778,0.22837593,0.21658747,0.23836844,0.2937126,0.36113384,0.40404406,0.39718553,0.34150234,0.26329947,0.19049115,0.13908295,0.10848009,0.09250337,0.085180074,0.08569053,0.09506766,0.114015006,0.14092971,0.17507976,0.22073579,0.28202972,0.35441837,0.41619876,0.44289947,0.4230697,0.3709954,0.3118237,0.26620868,0.23877184,0.2250967,0.21882011,0.21707727,0.21855253,0.22261496,0.22755145,0.23206471,0.23449321,0.2346409,0.23238945,0.2288887,0.22494976,0.22214895,0.22115178,0.2220773,0.22383535,0.2264014,0.23084436,0.23793258,0.245367,0.24780636,0.24064319,0.22247903,0.19626833,0.16676717,0.14015092,0.12193432,0.11522266,0.11790439,0.12372788,0.12667763,0.12526111,0.12245224,0.12159654,0.122768424,0.122849196,0.11852744,0.109715424,0.10010529,0.09539497,0.098860174,0.10918214,0.12084725,0.12917258,0.13335882,0.13611649,0.13914831,0.14073119,0.13779415,0.12961571,0.119127624,0.10975593,0.10243378,0.09505296,0.08531637,0.07382283,0.06496851,0.06479256,0.07657963,0.097504936,0.11915011,0.1324973,0.13404244,0.12758122,0.12082543,0.119272925,0.12326572,0.1291277,0.13399555,0.1391403,0.15030964,0.17156816,0.20039652,0.22581844,0.23683606,0.22885454,0.20677978,0.17868833,0.15153569,0.12914796,0.1134971,0.10441818,0.099969655,0.09807202,0.09928292,0.10471504,0.11355925,0.12051368,0.121427685,0.11631135,0.11190363,0.11530017,0.13102281,0.1555508,0.18169431,0.20261352,0.22262613,0.254244,0.30691183,0.37110826,0.41936108,0.42771235,0.39384198,0.34050822,0.2935655,0.2673734,0.2587221,0.25873432,0.2599043,0.26042417,0.260947,0.26260725,0.2647651,0.2654511,0.26218814,0.25405172,0.24216855,0.23024344,0.22254902,0.22230256,0.2275242,0.23320471,0.23396783,0.23228629,0.23361139,0.24221297,0.2515545,0.25253978,0.2389649,0.21483539,0.18732125,0.16288169,0.14396842,0.1310047,0.12242783,0.11571591,0.1097911,0.10744055,0.11274322,0.12645333,0.14302897,0.15520151,0.15745486,0.14909737,0.13217172,0.112273745,0.09517264,0.084265,0.077797,0.07392029,0.07476323,0.08531847,0.10557542,0.12756088,0.14113277,0.14255698,0.13630243,0.12923777,0.124755196,0.121763535,0.11788816,0.11248747,0.10793019,0.10808986,0.11585895,0.1302581,0.14662795,0.15916966,0.1645645,0.16339004,0.15971215,0.1590523,0.16571058,0.17818834,0.19030678,0.19562823,0.19774497,0.20634492,0.22978587,0.26226458,0.29086158,0.3043189,0.30297792,0.29348674,0.282979,0.27493158,0.26936388,0.26505345,0.26017597,0.2553966,0.25138092,0.24811429,0.24205403,0.23101753,0.21525024,0.19932015,0.18732317,0.18331786,0.1888032,0.20360684,0.2223612,0.23984092,0.2552474,0.2788288,0.31788144,0.36829332,0.40554127,0.40977263,0.37575534,0.32322404,0.27236173,0.23681556,0.21511488,0.20265387,0.19401751,0.18758953,0.18398671,0.18604118,0.19557208,0.21059524,0.22386108,0.22738867,0.21771663,0.20002854,0.18442929,0.1800607,0.18834262,0.20296161,0.21464087,0.21967526,0.22243464,0.23039383,0.24478304,0.2581161,0.26021966,0.2465023,0.22055475,0.19042939,0.1641437,0.14686936,0.13989165,0.14050211,0.14388467,0.14656204,0.148721,0.15259917,0.15911393,0.1651609,0.16546871,0.15562975,0.13629483,0.1131781,0.094678305,0.08544135,0.08391651,0.084602706,0.08546733,0.09012771,0.10343527,0.123917006,0.1423282,0.14785136,0.13533284,0.10927067,0.080817066,0.06264337,0.060973555,0.072335206,0.08553859,0.091121316,0.087820314,0.08191943,0.079315834,0.08035063,0.08124272,0.07934076,0.07584638,0.07426567,0.07815668,0.08937842,0.1080936,0.13266274,0.16119184,0.19190712,0.22194488,0.24588852,0.25724164,0.25386497,0.24027848,0.22546478,0.21615009,0.21337228,0.21277153,0.20830463,0.19583511,0.17539616,0.15139253,0.12994987,0.11544186,0.10803703,0.10521159,0.10472771,0.1064985,0.11263519,0.12567125,0.14842261,0.1789342,0.21177177,0.23888898,0.26266703,0.29126522,0.3325989,0.3755311,0.40077642,0.39231467,0.35703003,0.31261453,0.27793756,0.25777477,0.24963324,0.24664386,0.24532585,0.24373142,0.24198848,0.2400802,0.23765616,0.23392452,0.22841187,0.22191201,0.21668589,0.2155302,0.22044091,0.22995222,0.23947348,0.24369524,0.242481,0.24184291,0.24762447,0.25842547,0.26391244,0.25584504,0.23395507,0.20743926,0.18493545,0.17030722,0.16159861,0.15459472,0.14597279,0.13451122,0.12271234,0.11399141,0.10988277,0.106835715,0.09958461,0.08628708,0.071854286,0.06436974,0.06949533,0.086951576,0.11084583,0.13201295,0.14184272,0.13827306,0.12803547,0.12227418,0.12692079,0.13834102,0.14799042,0.149526,0.14297529,0.13214254,0.123070866,0.119852595,0.12330568,0.12901406,0.13194905,0.13010915,0.1257592,0.12108624,0.11504093,0.10515385,0.091121726,0.07733587,0.07206821,0.08648953,0.13095154,0.20480095,0.29078528,0.35948467,0.3919543,0.3899627,0.37214866,0.35269675,0.33487013,0.31527045,0.29384467,0.2767039,0.27308667,0.29263186,0.33461848,0.3842977,0.4135963,0.40433773,0.359331,0.30336654,0.25909734,0.23550558,0.22550447,0.21987772,0.21354014,0.20938669,0.21311934,0.2300845,0.25781655,0.28836486,0.31366846,0.33495662,0.3568925,0.37773475,0.38398722,0.36386165,0.3192829,0.26664847,0.22203548,0.19220735,0.17420526,0.16284847,0.15463822,0.14880674,0.14642878,0.14828856,0.1539541,0.160326,0.16442646,0.16476096,0.16354199,0.16474889,0.17161793,0.1836998,0.19642647,0.20500164,0.20828883,0.21104695,0.2185753,0.23205553,0.24524784,0.25079146,0.24465604,0.23030199,0.21302062,0.19688933,0.18056674,0.16139485,0.13772094,0.11321791,0.09482724,0.08950638,0.09912067,0.11916349,0.14158575,0.15855621,0.16598926,0.1634283,0.15394442,0.14178224,0.13076708,0.12251117,0.11688354,0.1133736,0.11216894,0.11350337,0.11657073,0.119208515,0.119871765,0.11882136,0.11849526,0.12085736,0.12622131,0.13242722,0.136876,0.13769065,0.13517559,0.13114582,0.12774988,0.1257991,0.124432474,0.12208175,0.11768022,0.11135086,0.104080915,0.097293355,0.09241972,0.09065252,0.09342727,0.103060484,0.123481475,0.15688337,0.19958371,0.23911786,0.26111022,0.25775364,0.23370916,0.20053019,0.16952373,0.14572382,0.1282423,0.112475276,0.09448136,0.07459026,0.05778387,0.049630124,0.051838387,0.061260853,0.0739159,0.08700439,0.10023019,0.11313173,0.12708555,0.14279954,0.15995185,0.17552261,0.1902871,0.21434231,0.25918975,0.32528123,0.38981584,0.42629144,0.41985047,0.3837203,0.33956912,0.3063217,0.286581,0.27657136,0.27040255,0.2665445,0.26488397,0.26552784,0.2665517,0.26527512,0.25973842,0.25049305,0.23999278,0.23136151,0.22661293,0.22626472,0.2284056,0.2301472,0.22922446,0.22776823,0.23027737,0.23960663,0.2511504,0.25564238,0.24570107,0.2221026,0.19190566,0.16266793,0.13799849,0.117827415,0.10085055,0.08643519,0.074876405,0.06700362,0.06272351,0.06041467,0.056922317,0.0500119,0.03967155,0.028359681,0.018665444,0.011982496,0.008111806,0.0063379877,0.0064798505,0.009517854,0.017591266,0.032012552,0.05136464,0.07040418,0.08308834,0.0857612,0.07961764,0.06971571,0.06335856,0.0671763,0.08296914,0.105175056,0.12269291,0.12748723,0.12046534,0.11162574,0.11104321,0.1224401,0.14120413,0.15926778,0.17024845,0.17248736,0.17039295,0.16921486,0.17222643,0.17684163,0.18280132,0.19375764,0.21600814,0.24802233,0.2790421,0.2973601,0.29911923,0.29139462,0.28333345,0.28089368,0.28194284,0.2811129,0.27307513,0.2588797,0.24436529,0.2377039,0.2417349,0.253337,0.26409847,0.2676588,0.26171502,0.24990459,0.23733312,0.22873299,0.224921,0.22519644,0.2298233,0.24466924,0.2754111,0.32017192,0.3618436,0.37964353,0.36211696,0.31886777,0.26956367,0.23265512,0.21396057,0.21111889,0.21673042,0.22450815,0.22918426,0.22901273,0.2242387,0.21721137,0.20991611,0.20399596,0.19987382,0.19744615,0.19671853,0.19860749,0.20456575,0.21424745,0.22530569,0.2345318,0.24235529,0.25044683,0.25969943,0.26454648,0.25946155,0.24151818,0.21586186,0.18864472,0.16514571,0.14558785,0.12850432,0.111486584,0.094688475,0.08155926,0.07850301,0.0893771,0.11055467,0.13017793,0.136092,0.124289066,0.101601146,0.07980025,0.06841134,0.07205849,0.09002676,0.11791208,0.14759827,0.17223148,0.18807621,0.19608097,0.19753174,0.19315647,0.18270434,0.16674788,0.14713347,0.1278954,0.11473761,0.11194113,0.117998295,0.12646621,0.13134144,0.1330986,0.13618964,0.14360766,0.1525953,0.15856493,0.15978597,0.15918423,0.16018271,0.16215988,0.160058,0.14970206,0.1340401,0.12499105,0.1345262,0.16554625,0.2053261,0.23683655,0.24811071,0.24187332,0.22711818,0.2132652,0.20282169,0.19408537,0.1834291,0.1685847,0.15029515,0.13198942,0.11835758,0.110799275,0.10609896,0.09811202,0.0845023,0.07077174,0.068027906,0.08630973,0.1251916,0.17472352,0.22033525,0.25769907,0.2936741,0.33779988,0.38649997,0.4210908,0.4248775,0.39569226,0.35007676,0.30638376,0.27747086,0.26489258,0.2646629,0.26928294,0.27150607,0.26737687,0.25728998,0.24548239,0.23612583,0.2318788,0.23268121,0.2370859,0.24288487,0.2483819,0.25275406,0.2543192,0.25165394,0.244232,0.23807113,0.23939832,0.25039944,0.26104248,0.25950265,0.24002816,0.20954646,0.17902392,0.1557876,0.14017367,0.12893412,0.119351916,0.11054938,0.103154086,0.098050244,0.095475525,0.094807744,0.09482113,0.09455415,0.09320303,0.090070486,0.08412078,0.07506816,0.06398699,0.053645473,0.047318935,0.047711726,0.056373272,0.0720964,0.0904162,0.103485465,0.10511843,0.093857914,0.074648105,0.054056495,0.03701862,0.024789706,0.016713183,0.011826272,0.010017683,0.012013673,0.017783547,0.025520066,0.031315383,0.03212871,0.027494399,0.02021966,0.017085029,0.029288122,0.07338271,0.15604268,0.26608488,0.3673389,0.42903545,0.43958768,0.4185017,0.38743934,0.3602388,0.33529475,0.31129077,0.29090145,0.28208327,0.29225567,0.32338718,0.36765707,0.40649477,0.42012846,0.3998156,0.3549633,0.3044693,0.26384547,0.2376672,0.22256684,0.21418613,0.21043967,0.21277706,0.22247373,0.23832767,0.25510558,0.26944128,0.2860529,0.31351438,0.35276762,0.3875117,0.39741644,0.37425372,0.33117294,0.2882515,0.25895822,0.24391519,0.23789811,0.2350732,0.23181294,0.22579272,0.21689928,0.20694186,0.19910036,0.1956411,0.19674467,0.20072655,0.2056456,0.21107249,0.21784925,0.22620201,0.23391171,0.23805688,0.23863047,0.23933463,0.24340756,0.24867855,0.24837388,0.2365083,0.21315348,0.1841162,0.15725605,0.13719814,0.12408612,0.1146496,0.10784781,0.105406106,0.11162279,0.12667648,0.14732738,0.16603225,0.17730743,0.17738946,0.1670062,0.14874597,0.128396,0.112668574,0.10729215,0.11224446,0.12190264,0.12936722,0.13344455,0.13886152,0.15074192,0.16851617,0.18592715,0.19623958,0.19561373,0.18449992,0.16585805,0.14485486,0.12678586,0.115965985,0.11480228,0.123910904,0.14128447,0.16125695,0.17648731,0.18244715,0.18065882,0.17645784,0.17416696,0.17477441,0.17775021,0.18360798,0.19384877,0.20922,0.228166,0.24641605,0.25763324,0.25545236,0.23696484,0.2047988,0.16641945,0.13055333,0.104459114,0.09206006,0.09359761,0.104927234,0.11928886,0.13020335,0.13494594,0.1345157,0.13092023,0.12468677,0.114840865,0.102047235,0.09117818,0.09128359,0.111237764,0.1512104,0.2013381,0.24683695,0.2838383,0.31860593,0.35870233,0.3953232,0.41013825,0.39086536,0.34607306,0.2969662,0.26085547,0.24148585,0.23295633,0.22929288,0.22813149,0.22955143,0.23303759,0.2372169,0.24066645,0.24247128,0.24211179,0.23917307,0.2340265,0.22817463,0.22423314,0.22375733,0.22564234,0.22672403,0.22511499,0.22323243,0.2240908,0.22719316,0.22491752,0.21039438,0.18242042,0.14867716,0.11781174,0.09481085,0.07892067,0.06745607,0.058561128,0.051981602,0.04838869,0.047827717,0.04919402,0.05007778,0.048476655,0.043948036,0.038061593,0.03284874,0.029569576,0.02815759,0.027891459,0.028320419,0.030060342,0.0351334,0.045570005,0.061118085,0.07748396,0.08823061,0.0888372,0.07980021,0.06569428,0.051664848,0.04071714,0.033349782,0.02889102,0.026732111,0.026906451,0.0297641,0.034872893,0.04040866,0.04356884,0.042656507,0.038100313,0.03315674,0.03236797,0.041011777,0.060764004,0.08845215,0.115849674,0.13819931,0.15811525,0.18309216,0.21524377,0.24650641,0.266057,0.26923737,0.26200888,0.2534804,0.25068468,0.25467226,0.26276815,0.26959226,0.27101454,0.26559016,0.25567117,0.24346878,0.23018683,0.21566005,0.20192105,0.19239438,0.19073665,0.19709337,0.20932114,0.22301184,0.2352467,0.2452327,0.25927794,0.2875931,0.33636358,0.3949634,0.4382564,0.44318306,0.40790975,0.35138056,0.29811755,0.26093295,0.23994072,0.22829445,0.22069216,0.21446015,0.20951574,0.20682769,0.20660298,0.20812644,0.20867653,0.20685118,0.20211656,0.19817711,0.19943577,0.21064799,0.22937965,0.24846224,0.25850186,0.25900328,0.2554897,0.25494266,0.25527513,0.25069678,0.23671971,0.21669203,0.19595666,0.17904116,0.16728143,0.16193797,0.16333409,0.17067462,0.18098164,0.19145699,0.19970386,0.20473589,0.2058057,0.20377795,0.19994117,0.19623774,0.19319855,0.19107218,0.1894266,0.18839057,0.18778972,0.18785925,0.18907513,0.19208813,0.19666271,0.20109995,0.20331825,0.20191123,0.19690017,0.18844329,0.1769076,0.16319896,0.14996748,0.1401711,0.13528149,0.13432938,0.13567638,0.13842879,0.14214873,0.14543311,0.1464278,0.1446194,0.14206468,0.1422624,0.1479314,0.15889029,0.17159021,0.1815433,0.1874641,0.19245036,0.19951844,0.205971,0.20407224,0.18821502,0.16048956,0.12951015,0.10466767,0.092279695,0.094021626,0.10689605,0.124023534,0.13779779,0.14366752,0.14159326,0.13439,0.12512602,0.11572152,0.106914185,0.099714436,0.09679159,0.1035584,0.12286552,0.15087235,0.17676695,0.1949599,0.2138258,0.24809329,0.30180913,0.35552606,0.3843824,0.3744881,0.336494,0.28844926,0.24636827,0.2152199,0.19548613,0.1846348,0.1799271,0.17838077,0.17802604,0.17766269,0.1765899,0.17425232,0.17078312,0.1667719,0.16386464,0.16435292,0.17132092,0.18485647,0.2015955,0.21463388,0.22150077,0.22410183,0.22738461,0.22996068,0.22595157,0.20951535,0.18217258,0.15102808,0.123173736,0.10170749,0.085721254,0.073465265,0.06372624,0.05655783,0.052420184,0.051256415,0.051798318,0.05165224,0.04908733,0.044038396,0.038328413,0.03378411,0.031175891,0.029938502,0.02915945,0.028681679,0.029760318,0.03520361,0.04711486,0.06446185,0.081407,0.09078469,0.08847809,0.07651292,0.06050307,0.045893993,0.035193298,0.028533397,0.02509308,0.024353268,0.026294516,0.030875385,0.037116855,0.042784218,0.045300826,0.043576747,0.03918379,0.036063757,0.03844635,0.04834233,0.06403926,0.08164627,0.09918139,0.11957545,0.14906001,0.19030166,0.23830836,0.2815205,0.31050786,0.32212386,0.3207172,0.31214988,0.30164003,0.29078916,0.2796589,0.26744738,0.2558311,0.24752139,0.24482106,0.24620336,0.24800582,0.24644558,0.24054177,0.23195104,0.22383036,0.21879075,0.21625344,0.21255,0.20426784,0.19607623,0.20236616,0.23816521,0.3024496,0.37124383,0.41193387,0.40567634,0.3604989,0.30007195,0.24746116,0.21233177,0.19426183,0.1868065,0.18402557,0.1812048,0.17741166,0.17381191,0.17272484,0.17406243,0.17580093,0.17503549,0.17208342,0.17051043,0.17583998,0.18935627,0.20649588,0.21866162,0.22231048,0.222104,0.22645979,0.23734124,0.2468914,0.24529009,0.22927016,0.20501067,0.18105613,0.1633573,0.15338938,0.15059333,0.15389808,0.16204809,0.17398171,0.18798198,0.2016272,0.21137834,0.21468095,0.21106829,0.20275278,0.19271637,0.18335278,0.1747821,0.16465819,0.14951743,0.12920867,0.110460795,0.10498675,0.12040898,0.15243311,0.1857012,0.20512669,0.20585543,0.19486678,0.18253697,0.17428476,0.16781525,0.15767656,0.1415651,0.123734854,0.11272961,0.115823485,0.13370705,0.15954958,0.1826139,0.19436276,0.19265337,0.18212076,0.17039703,0.16354252,0.16166972,0.16094922,0.15815432,0.15787363,0.16785975,0.19175142,0.22038238,0.23977737,0.24073462,0.22651233,0.20631664,0.18784384,0.17315054,0.16110046,0.1504852,0.14067511,0.13123761,0.121523775,0.111334585,0.100491226,0.088382065,0.0741671,0.058912966,0.048424114,0.051887482,0.07863244,0.1274634,0.18654434,0.23679149,0.2721657,0.3023168,0.34356698,0.39483142,0.43413326,0.43774524,0.40179348,0.3464798,0.2960868,0.2636297,0.24659644,0.23723231,0.23021817,0.22464962,0.2215405,0.2211444,0.22306824,0.22632305,0.23044108,0.23482925,0.2392999,0.24338509,0.2468953,0.24964567,0.25122342,0.25121522,0.24949674,0.24812429,0.24926949,0.25326487,0.25563678,0.25084624,0.2364008,0.21567409,0.19469364,0.17795724,0.1661017,0.15664321,0.14601938,0.13168567,0.11377022,0.09529372,0.08008691,0.06992081,0.063235015,0.05709673,0.04977752,0.041892692,0.03500554,0.030403187,0.028491946,0.029326716,0.03292447,0.039647054,0.050286334,0.06460237,0.08007017,0.0912308,0.09329214,0.08497403,0.07003585,0.05387273,0.040652875,0.03164565,0.026385078,0.024052126,0.024364067,0.027683154,0.033943664,0.04186086,0.0486449,0.051878348,0.05099544,0.048165265,0.04767668,0.054858238,0.073976405,0.103788495,0.13726072,0.16501626,0.18502934,0.20212895,0.22259875,0.24393427,0.25773367,0.2573797,0.24532498,0.23145486,0.22554593,0.23248976,0.24890703,0.2673638,0.27979863,0.2833124,0.27885854,0.26865038,0.25317788,0.23296289,0.21104467,0.19275965,0.18258326,0.1818673,0.18910031,0.20184155,0.21708189,0.23374353,0.25390634,0.2859451,0.3340098,0.3926901,0.43904507,0.453408,0.42842793,0.38113055,0.3319435,0.296772,0.27650747,0.26754487,0.2644398,0.26414898,0.26430705,0.26401374,0.26393393,0.26491904,0.26699793,0.26847926,0.26850554,0.2675607,0.26794282,0.2704281,0.27298483,0.27135503,0.26285824,0.25023213,0.23945701,0.23468392,0.23242019,0.22493011,0.2076288,0.18425496,0.16342644,0.15098007,0.14718534,0.14950179,0.1561131,0.16576308,0.17532654,0.18140501,0.18250589,0.18091096,0.17924814,0.17845361,0.17733909,0.1752274,0.17323448,0.17364796,0.17798527,0.18547277,0.19374752,0.20028444,0.20378435,0.20327841,0.19789273,0.18727471,0.17333178,0.15972771,0.14984338,0.14492308,0.14458711,0.14880408,0.15777169,0.1703946,0.1824557,0.1893328,0.18910067,0.18468149,0.18040891,0.17848176,0.17700593,0.17180555,0.15929042,0.13804887,0.10990255,0.07895584,0.05116418,0.032985646,0.03139016,0.052457213,0.09678316,0.15539221,0.20973486,0.24246316,0.24656619,0.2295252,0.20470595,0.18333177,0.16929673,0.16084053,0.15388657,0.14490126,0.13296431,0.119014256,0.10472705,0.090669036,0.07689753,0.063715294,0.052441876,0.046755362,0.052806694,0.078481995,0.122945726,0.17472525,0.21490699,0.23985727,0.261459,0.2963882,0.33980516,0.37115005,0.37226167,0.34611794,0.3086039,0.27410027,0.24773212,0.22989011,0.21975382,0.21582901,0.21515043,0.21518503,0.21482474,0.21410967,0.2130021,0.2113474,0.20916359,0.20677651,0.20473313,0.20403726,0.20592152,0.21089016,0.2179329,0.22536896,0.23296052,0.24063087,0.24650042,0.24435551,0.22944844,0.20181857,0.16871512,0.13748567,0.11253057,0.09334323,0.0785341,0.06712609,0.06030569,0.060176,0.069365926,0.08779552,0.111958325,0.1342585,0.14747214,0.14733319,0.13522439,0.11549304,0.09344497,0.072517745,0.055005413,0.04252772,0.037349273,0.041107286,0.053010356,0.068207905,0.079458535,0.08128538,0.07308393,0.060774952,0.053949293,0.06354194,0.09196556,0.13128655,0.16335271,0.17810105,0.17863387,0.18026768,0.19159798,0.20981316,0.22471751,0.23067355,0.22920687,0.22503568,0.22125958,0.21867357,0.21671028,0.2155968,0.21682619,0.22431852,0.24005671,0.26107118,0.27751717,0.2804987,0.26779768,0.24604641,0.22362478,0.20573957,0.19286989,0.18363869,0.17722772,0.17431545,0.17704321,0.18567894,0.19685648,0.20286334,0.19837959,0.18326819,0.16488004,0.1518349,0.1522715,0.16682746,0.18900347,0.20521879,0.20970273,0.21113695,0.23203684,0.28505808,0.35987663,0.4239895,0.44959304,0.43041918,0.3840526,0.3335124,0.29434428,0.27021745,0.2582151,0.25340724,0.25172827,0.25093496,0.25027636,0.24941762,0.24781393,0.24537952,0.24258576,0.24014463,0.23786326,0.23589285,0.23414671,0.23270346,0.23012675,0.2262702,0.22326489,0.2247954,0.23142038,0.23794222,0.23743467,0.2262858,0.20769101,0.18750413,0.17077541,0.15933166,0.1526817,0.14885993,0.1451155,0.14018689,0.13465479,0.12976913,0.124001645,0.113579996,0.09599475,0.07367438,0.05337407,0.043223497,0.048969716,0.07208139,0.10665423,0.14131583,0.16326629,0.16745503,0.15836048,0.14641275,0.13884045,0.13565208,0.13188359,0.123505495,0.11230317,0.10498828,0.10903145,0.12596251,0.1499847,0.17016654,0.1780675,0.17152111,0.15610094,0.14007491,0.12999956,0.12702169,0.12837559,0.13071384,0.13336809,0.13790286,0.14537357,0.15476565,0.16456454,0.17624736,0.19264857,0.21432005,0.23527177,0.24739684,0.24525104,0.22940041,0.20328166,0.17078574,0.13597451,0.103530325,0.07774059,0.06098346,0.054248378,0.058872417,0.07534546,0.10047416,0.12531489,0.13954057,0.1376188,0.12334871,0.10790756,0.10460623,0.12144772,0.15553872,0.19527012,0.22995277,0.26283944,0.304278,0.35958847,0.41176417,0.43836322,0.424359,0.38027534,0.32532296,0.28003505,0.25173917,0.24095671,0.24049014,0.2435806,0.24466087,0.24347407,0.24166591,0.24129976,0.24209797,0.24245535,0.24025933,0.23494838,0.22812183,0.22325434,0.22211696,0.22356652,0.22383349,0.22254281,0.22266497,0.22823106,0.23676582,0.24125944,0.23515207,0.21927531,0.19950445,0.18217881,0.16994886,0.16312826,0.16092324,0.16219503,0.16452938,0.16523844,0.16244914,0.15684186,0.15105231,0.14841567,0.15033185,0.15550126,0.16134848,0.1654054,0.1658612,0.15901352,0.14181815,0.11489311,0.087676816,0.073288135,0.08095036,0.106871545,0.13714285,0.156415,0.159487,0.15263152,0.14748532,0.15096645,0.16178958,0.1733516,0.179976,0.17979564,0.17374681,0.16223742,0.14519756,0.12335964,0.10075194,0.08182463,0.07013262,0.06706384,0.0749725,0.094968475,0.12426307,0.15349884,0.17290919,0.17828302,0.17384614,0.1665638,0.1611795,0.15762852,0.15377797,0.14783472,0.14051355,0.13421021,0.13119,0.13166459,0.13387564,0.13623701,0.13853282,0.14203145,0.14816262,0.15754068,0.16943334,0.18072855,0.18716115,0.18508337,0.17531307,0.16282056,0.15354809,0.15041618,0.15543132,0.1756763,0.22184141,0.2956066,0.3772899,0.43356693,0.44114432,0.40414807,0.34768617,0.2971768,0.26440445,0.2484634,0.24348706,0.24436034,0.24682988,0.24832635,0.24681771,0.2426572,0.23614846,0.22825551,0.21878608,0.20889623,0.20108731,0.19978784,0.2075637,0.22256379,0.2386642,0.2504865,0.25787723,0.26388767,0.26987752,0.27184415,0.26536778,0.24960028,0.22877352,0.20737593,0.18817079,0.17226894,0.15988441,0.14928694,0.137058,0.122076005,0.1090116,0.10552443,0.11473588,0.1302577,0.14078347,0.1390825,0.12795235,0.1175108,0.11732777,0.13001652,0.15000218,0.16871254,0.1802296,0.18452317,0.1849547,0.1848166,0.18509986,0.18526448,0.18455577,0.18282437,0.18082452,0.18008786,0.18186575,0.1855172,0.18761335,0.18511313,0.17829818,0.17263393,0.172697,0.17829305,0.18197872,0.17598337,0.15748696,0.13257688,0.11227467,0.10563004,0.11337469,0.12880407,0.14501452,0.16213387,0.18384862,0.2105446,0.23305626,0.24183518,0.23344398,0.21539015,0.196404,0.18159337,0.16922389,0.15579236,0.13867788,0.11907365,0.10210925,0.09553561,0.10474452,0.12775534,0.15486936,0.17454284,0.18087561,0.17708182,0.17265779,0.17894554,0.2004145,0.23345375,0.26674736,0.2963616,0.32800117,0.3723997,0.42592004,0.46799514,0.4753733,0.44195935,0.38492608,0.32946423,0.29327914,0.2774303,0.27325657,0.2703359,0.2641499,0.2558337,0.25040486,0.25170168,0.26027235,0.2719302,0.281534,0.28537774,0.28372177,0.27847898,0.2720926,0.2648377,0.2558378,0.24371022,0.23058969,0.22028244,0.21544796,0.21162307,0.20120494,0.1789207,0.14778237,0.11522875,0.08791283,0.067979164,0.054200646,0.04445544,0.037174534,0.032123517,0.029764583,0.03022036,0.03205511,0.03265195,0.029988743,0.024108892,0.01697658,0.010799515,0.006733121,0.004654735,0.0039178524,0.004580527,0.008198627,0.017842185,0.035161953,0.0577841,0.07817518,0.08852423,0.08525655,0.07232286,0.058503315,0.054466218,0.06738022,0.097323895,0.13538939,0.16888589,0.18895245,0.19512522,0.1927513,0.18710254,0.18048112,0.17261733,0.16352999,0.15460111,0.14861101,0.14733003,0.14973523,0.15270318,0.15475385,0.15995745,0.17509985,0.20355521,0.23874728,0.2689386,0.28459993,0.28619328,0.2799549,0.27314815,0.26821724,0.26520595,0.2625065,0.2598634,0.25705603,0.25511006,0.2540191,0.25323668,0.24971958,0.24057622,0.22318603,0.1987666,0.17228289,0.15400286,0.1533814,0.17290844,0.20493144,0.24003465,0.27850476,0.32607698,0.38301328,0.43038175,0.44727668,0.42397833,0.37562004,0.32334936,0.28321865,0.25661728,0.23967548,0.22911127,0.22544311,0.22997914,0.24156363,0.25609434,0.2679269,0.2733538,0.2719461,0.2666609,0.26122916,0.2587314,0.2603664,0.26539484,0.27183208,0.27755237,0.2827306,0.2880195,0.29343486,0.29569623,0.29201993,0.2823771,0.27047917,0.26008135,0.25220132,0.2455491,0.23814817,0.22864218,0.21585238,0.20010282,0.1839443,0.17226557,0.16813414,0.17100398,0.17635822,0.18026072,0.18077172,0.17901713,0.17723434,0.1786422,0.18489037,0.19492184,0.20451361,0.21031761,0.21166623,0.20982026,0.20402943,0.19217978,0.17396826,0.15433699,0.14085066,0.13927372,0.14949651,0.16609454,0.18100272,0.18764322,0.18450993,0.17539032,0.16698082,0.16305518,0.16301678,0.16249406,0.15863843,0.15166469,0.14509481,0.1422416,0.14451347,0.15087433,0.16055141,0.17459811,0.19554298,0.22250845,0.24890947,0.2639105,0.25998622,0.23709148,0.20282502,0.1675635,0.14067374,0.12762956,0.1284218,0.13859577,0.15199584,0.16506968,0.17655522,0.18589936,0.19026452,0.18667759,0.174702,0.15916032,0.14844686,0.1506929,0.16942926,0.19888109,0.22812335,0.24846096,0.26735136,0.30012122,0.35567808,0.4166647,0.45328435,0.44445214,0.39794824,0.3389939,0.29194203,0.26499188,0.25359485,0.24855407,0.24369366,0.23711263,0.23003697,0.22523852,0.22461021,0.22854339,0.23483025,0.2411427,0.2456942,0.24885352,0.25178513,0.2557931,0.26020938,0.263217,0.2633191,0.26276484,0.2646185,0.26950657,0.27151033,0.2640392,0.24449421,0.21719937,0.18828194,0.1623648,0.14219482,0.12951146,0.1246564,0.12451089,0.124031484,0.1186716,0.10718006,0.09118832,0.07401404,0.05894123,0.048158675,0.042098235,0.039700195,0.03935868,0.03989814,0.041060593,0.04376531,0.050020427,0.06189649,0.07899264,0.09732041,0.11109445,0.11800509,0.12057311,0.124025084,0.13031225,0.13796093,0.14292155,0.14266239,0.13696565,0.1307839,0.1326015,0.14924419,0.17915066,0.21183185,0.23565136,0.24435216,0.24001186,0.22937866,0.22140479,0.22171356,0.22964114,0.23833638,0.24244285,0.24442796,0.25150242,0.26717675,0.28462678,0.2942016,0.2902402,0.276821,0.26108482,0.24971925,0.24488516,0.24506716,0.24626999,0.24488501,0.24189992,0.24176763,0.24894063,0.26203212,0.27555725,0.28417587,0.28750363,0.2882823,0.28885233,0.28786123,0.2815412,0.26697084,0.24883069,0.24139325,0.26377535,0.32128307,0.39562562,0.44974768,0.45654032,0.41565344,0.351964,0.292501,0.2512594,0.22790928,0.21607327,0.2106923,0.20908795,0.21121775,0.21795672,0.23041415,0.24749935,0.26541233,0.2788419,0.2844406,0.2827392,0.2772889,0.2721299,0.26881203,0.26728496,0.26661992,0.26884758,0.2754331,0.28563392,0.29234502,0.28881696,0.27279446,0.2497835,0.22664894,0.20761305,0.19270344,0.18084727,0.17152546,0.16518492,0.16315962,0.16697972,0.17731364,0.19194722,0.20628245,0.21508946,0.21527486,0.20699437,0.19360791,0.18012899,0.16997723,0.16229306,0.15273064,0.1388476,0.12474522,0.11918072,0.12813675,0.14888735,0.1720937,0.18866909,0.19513011,0.19369768,0.18889113,0.18466021,0.18251161,0.18243755,0.18418235,0.18804888,0.19332947,0.19699585,0.19493645,0.18564875,0.17213179,0.1606266,0.15580553,0.157956,0.16145433,0.15835632,0.1435321,0.121602245,0.10739002,0.11659104,0.15251487,0.19970693,0.23499669,0.24259822,0.22363095,0.18996651,0.15546058,0.13028578,0.12094381,0.1296886,0.1526521,0.18040587,0.202654,0.21398473,0.2155326,0.21189487,0.20711733,0.20298332,0.2004387,0.20154886,0.21007778,0.22843015,0.25262535,0.27440473,0.28871801,0.30567384,0.33910504,0.39282265,0.4437178,0.46429268,0.44093302,0.39011896,0.33677578,0.2992105,0.27879658,0.27027342,0.26776674,0.26799873,0.26868048,0.26881126,0.2691534,0.27089927,0.27404353,0.27682015,0.27761838,0.2762747,0.27387723,0.2714076,0.26818368,0.26252457,0.25321433,0.24325402,0.23889399,0.24580364,0.2619144,0.2781894,0.284727,0.27885333,0.2646834,0.24799664,0.23118646,0.21494615,0.19998944,0.18807745,0.1781094,0.16817747,0.15718187,0.14886625,0.14698435,0.15266448,0.16248433,0.17301565,0.18273532,0.19212185,0.2017503,0.21092182,0.2177832,0.21956426,0.21550594,0.2074341,0.19938286,0.19331183,0.1887167,0.18386109,0.17906582,0.17634182,0.17775309,0.18382192,0.19240613,0.19881605,0.19633909,0.18152553,0.15762705,0.13556892,0.12568612,0.13149643,0.14689414,0.16312517,0.17457466,0.1819328,0.1889667,0.19863658,0.21107243,0.22460352,0.23898554,0.25590026,0.27625358,0.2962236,0.30764315,0.30415186,0.28603724,0.26098874,0.2383184,0.22493862,0.22287007,0.22996862,0.24119596,0.250741,0.25512913,0.25428757,0.25065318,0.246657,0.24265821,0.23808892,0.23194309,0.22622706,0.22403197,0.22975017,0.24233635,0.25805035,0.2725455,0.2917951,0.3254764,0.37662852,0.4282211,0.45499536,0.44301507,0.4019439,0.3544952,0.3181707,0.29789826,0.28923902,0.2865032,0.28508496,0.28314206,0.28085026,0.27931187,0.27862823,0.2767347,0.27117455,0.2600431,0.244429,0.22813521,0.21792239,0.21832289,0.2282586,0.24038558,0.24852848,0.25373924,0.26092634,0.27104855,0.2748829,0.26301065,0.23328479,0.19631605,0.16496186,0.14796422,0.14457779,0.14803803,0.14935766,0.14320505,0.13201894,0.12451852,0.12937433,0.14687437,0.16886745,0.18361323,0.18429434,0.17151754,0.15263546,0.13644055,0.12731983,0.12230604,0.11430556,0.10125393,0.0898575,0.091,0.10862172,0.13611084,0.16168149,0.17784853,0.18424296,0.1836202,0.17616846,0.15934914,0.13169721,0.09785517,0.06803676,0.054408506,0.0638157,0.094081424,0.13386814,0.16947518,0.19203448,0.20142019,0.20305902,0.20232141,0.20050465,0.19490995,0.18332662,0.16860412,0.16160123,0.1725598,0.20272736,0.23771162,0.26018217,0.26078835,0.24595529,0.22788836,0.21586458,0.21072137,0.20791511,0.20213628,0.1905378,0.17454575,0.15811783,0.14574319,0.13955702,0.13936138,0.1427567,0.14643858,0.14822648,0.14956485,0.15726231,0.17647909,0.20653658,0.2383763,0.26839188,0.3012725,0.34518716,0.39461836,0.43015754,0.43394995,0.40488744,0.35871896,0.31336883,0.27904257,0.25791,0.24774583,0.24660379,0.2508318,0.2584997,0.26661134,0.274248,0.2789143,0.27978668,0.2764965,0.27131376,0.26644662,0.2637068,0.26399365,0.26718545,0.2723646,0.2772946,0.28190783,0.28677514,0.2922192,0.29378843,0.2869527,0.27048126,0.24923079,0.22853589,0.21165021,0.19960053,0.19443452,0.1971069,0.20517321,0.21145461,0.20938134,0.19671254,0.17670126,0.15387,0.13109832,0.10977409,0.09265635,0.085040264,0.091777526,0.11300564,0.14273132,0.1722248,0.19499885,0.20970063,0.2188272,0.22545558,0.23022364,0.23120992,0.22564311,0.21203528,0.19178444,0.16891819,0.14966,0.1389548,0.13880478,0.14593393,0.15459818,0.15865748,0.15572546,0.14721976,0.13733412,0.12879288,0.120632954,0.109855324,0.09604173,0.084655024,0.081562065,0.08880735,0.102028035,0.12058544,0.14701025,0.1845109,0.22477289,0.25438023,0.26336622,0.25504816,0.24029368,0.22948973,0.22858556,0.23811989,0.25513723,0.27207276,0.28296974,0.28543544,0.28252694,0.2771083,0.2710116,0.2651548,0.26104978,0.2590632,0.25689057,0.25124457,0.24096967,0.22894704,0.22227816,0.23019047,0.2630578,0.32163212,0.39357665,0.4498287,0.46796104,0.44239986,0.39350903,0.3443617,0.3105993,0.29185745,0.28295806,0.27813217,0.2747515,0.27195194,0.2703967,0.27090275,0.27297172,0.274361,0.2730238,0.2682146,0.26132596,0.2537667,0.24723567,0.24173594,0.2373997,0.23355383,0.23256291,0.23745339,0.2505109,0.26734576,0.27962986,0.2800453,0.2685648,0.2505712,0.23132962,0.21174128,0.18915729,0.16158684,0.13085325,0.10371387,0.08866935,0.09142179,0.10987238,0.13501064,0.15564533,0.1661945,0.16830702,0.16835122,0.17025375,0.17364682,0.17474689,0.17188586,0.16698939,0.1651354,0.16969329,0.18013395,0.1916988,0.19933648,0.20040333,0.1957903,0.18792719,0.17881806,0.16939227,0.16015446,0.15220675,0.14654456,0.14302404,0.13913059,0.13114749,0.11615822,0.09445834,0.069614284,0.046802003,0.030852405,0.025932888,0.036407758,0.06510377,0.11024309,0.16341026,0.2141457,0.25553563,0.28588447,0.3048543,0.31022802,0.30130076,0.28151974,0.2591524,0.24043728,0.22762012,0.21822621,0.20956318,0.1990603,0.18528175,0.1682512,0.15089925,0.13755137,0.12901522,0.120776646,0.106173396,0.08412028,0.062413078,0.05486388,0.074407786,0.12180951,0.18545085,0.2458228,0.29722023,0.34507096,0.39852595,0.44563854,0.4653616,0.44127524,0.38312128,0.31422558,0.25991493,0.23064612,0.2247007,0.23028605,0.23648846,0.23690622,0.23243104,0.2262792,0.22098339,0.2168855,0.21366428,0.21144824,0.21099,0.21360141,0.22090141,0.23260184,0.2446497,0.25039503,0.2470936,0.24045174,0.23925407,0.24598205,0.25086233,0.24225426,0.21589196,0.1799674,0.14520204,0.11822554,0.09866323,0.083521,0.0704289,0.058901865,0.05019483,0.04560375,0.04508087,0.046039786,0.045144174,0.04074808,0.034994308,0.033079788,0.04082991,0.061055005,0.091326125,0.12449252,0.15333454,0.17478703,0.19123273,0.20594913,0.21963692,0.22928818,0.23255312,0.22971164,0.2241127,0.2186472,0.21459012,0.21082501,0.20504056,0.19451024,0.17873372,0.16145147,0.14947467,0.1464106,0.14735182,0.14133543,0.120779075,0.08902372,0.05845161,0.04261918,0.049045164,0.075995475,0.115091644,0.15575065,0.19417383,0.23066926,0.266979,0.2956211,0.30928493,0.30393687,0.28798476,0.27089557,0.26112607,0.25942948,0.26429284,0.2711422,0.27648482,0.27769017,0.27528736,0.27076972,0.26632288,0.26261222,0.2599392,0.25772738,0.25700748,0.2599317,0.26895154,0.2826759,0.2962972,0.30717078,0.32167172,0.3518013,0.40097496,0.45377254,0.48349154,0.47369835,0.43075952,0.37714088,0.33268932,0.30482557,0.29053256,0.284609,0.2829353,0.2829777,0.28317752,0.28403354,0.2876111,0.29547778,0.30653942,0.31688938,0.32217935,0.32000354,0.31154564,0.30044392,0.29077688,0.28475568,0.28301063,0.28613183,0.2941903,0.30558994,0.31494904,0.3176776,0.31207195,0.30190018,0.2911017,0.28201172,0.27415124,0.26714298,0.2617407,0.25899827,0.259088,0.26054823,0.26172057,0.2615119,0.2599157,0.25644532,0.24944486,0.23603757,0.21587926,0.19274731,0.17467766,0.16738822,0.17135203,0.18094431,0.19058841,0.19746178,0.20234002,0.20639114,0.20986961,0.21213244,0.21277393,0.21212894,0.21090037,0.2098028,0.20915245,0.20889671,0.20864338,0.20800585,0.20684844,0.20531584,0.20372349,0.2023731,0.20164947,0.20184273,0.20271873,0.2025785,0.1981395,0.18645324,0.16802078,0.14849706,0.13580184,0.13523406,0.1460333,0.1626665,0.17851238,0.18906648,0.19336785,0.19313876,0.19062865,0.18560661,0.1744278,0.15316069,0.1226238,0.09157654,0.072681405,0.074475266,0.09375062,0.11637776,0.12600826,0.1155912,0.092330374,0.07296839,0.0726212,0.096225925,0.13616206,0.18100423,0.22446667,0.2732741,0.3344133,0.40485445,0.4615464,0.4827107,0.46110606,0.41478816,0.36696097,0.33416185,0.31698313,0.30944642,0.30481914,0.30078867,0.2973339,0.2949995,0.29336262,0.2918682,0.29057539,0.28994676,0.29014182,0.29069367,0.2911177,0.2912884,0.29082307,0.2890056,0.28552434,0.2825832,0.2834386,0.28865936,0.29280496,0.2877523,0.2696226,0.24206378,0.21309131,0.18864734,0.17054963,0.15753506,0.14802624,0.14123906,0.13772227,0.13942665,0.14754213,0.16065222,0.17339098,0.18019092,0.17826952,0.16920643,0.15577483,0.13995467,0.12277034,0.10584286,0.09189891,0.08415989,0.085997134,0.09919605,0.121958815,0.14719029,0.1660375,0.17295122,0.1691898,0.15970378,0.14825471,0.13475975,0.11761001,0.09725871,0.077527635,0.06358183,0.058431145,0.060798656,0.06570167,0.06754286,0.06357478,0.055105805,0.04811703,0.054211006,0.09136277,0.1738137,0.29500747,0.41891232,0.49984145,0.51611185,0.4841285,0.4380602,0.39875427,0.3656398,0.33041573,0.29321983,0.26488915,0.26163045,0.2961508,0.3663188,0.4488316,0.5064225,0.51179725,0.46438003,0.38867983,0.31394312,0.25845745,0.2259748,0.21202804,0.21157825,0.22394012,0.253233,0.30142352,0.3602033,0.4126712,0.4471563,0.46743932,0.48503885,0.50097567,0.5022115,0.47570953,0.42596546,0.3709586,0.32894048,0.3050933,0.29532537,0.29185966,0.2902887,0.2886628,0.28716743,0.28609762,0.28594014,0.28660128,0.2869959,0.2849119,0.2786881,0.26901862,0.25932643,0.25214535,0.24638212,0.23839098,0.22802109,0.2222361,0.22894317,0.24898826,0.27120328,0.2832375,0.27919284,0.26474273,0.24776024,0.23330854,0.22009514,0.20425642,0.18293841,0.15813,0.13797502,0.13239278,0.14570643,0.17147003,0.19604863,0.20735516,0.20113015,0.18166856,0.15783703,0.13935016,0.13067849,0.12896886,0.12646718,0.1208651,0.1192591,0.13242471,0.1623515,0.19827689,0.22469543,0.2316493,0.21992628,0.1970685,0.17359555,0.15699898,0.14933617,0.14564894,0.14015311,0.13255097,0.12970231,0.1385182,0.15766726,0.17733045,0.18578492,0.17901222,0.16336071,0.15276557,0.15855266,0.18176438,0.21235758,0.23892976,0.25831008,0.2741572,0.2881231,0.29259583,0.27871338,0.24505354,0.2029412,0.16700326,0.14808194,0.14840953,0.16421162,0.18789876,0.21057959,0.225239,0.22792625,0.21803947,0.1964588,0.16613555,0.13227849,0.101699986,0.08192006,0.08015698,0.10243199,0.1467538,0.20130904,0.24930693,0.28538406,0.31993666,0.36693075,0.42377067,0.46731055,0.4742042,0.4398736,0.3831898,0.32849348,0.29133496,0.27277964,0.26618305,0.26460075,0.26462734,0.26649404,0.27098343,0.27786586,0.28489086,0.2899711,0.2922025,0.29265738,0.29282567,0.2936984,0.29529634,0.29620495,0.29470482,0.28979346,0.2845461,0.2832066,0.2880461,0.29416424,0.29422984,0.2827469,0.25986373,0.2278202,0.18919457,0.14742194,0.10791552,0.0766633,0.05728968,0.050796647,0.05674973,0.07292343,0.09424762,0.11274918,0.1222733,0.121118724,0.11232541,0.09905694,0.082992814,0.0646111,0.045686904,0.029955076,0.022438595,0.028335536,0.0494851,0.082207955,0.11597488,0.14002742,0.14870279,0.14497198,0.13473019,0.12196246,0.106335916,0.08670033,0.064472795,0.044267952,0.031571236,0.028766707,0.033656623,0.040055543,0.042282317,0.038010124,0.029651962,0.024883412,0.037253845,0.08578053,0.17877619,0.30139777,0.41048864,0.4677644,0.4634142,0.42478737,0.38294482,0.35201898,0.3257345,0.29703912,0.26912346,0.25459775,0.26806268,0.31495938,0.38393474,0.44622144,0.4729034,0.4546465,0.40787902,0.35870337,0.32327816,0.3017845,0.2872504,0.27601337,0.2718623,0.2823346,0.31348637,0.36022505,0.4083631,0.4407204,0.456584,0.46637252,0.48174596,0.49388662,0.48621717,0.44860852,0.3929137,0.33954832,0.30409706,0.28902864,0.2883291,0.29416153,0.30026624,0.30457398,0.30778566,0.3119079,0.3166692,0.32012632,0.32000116,0.31608307,0.30997255,0.3043897,0.3014351,0.3004496,0.29778907,0.28973803,0.27812502,0.2704362,0.2733285,0.28493905,0.29530588,0.2953254,0.2832011,0.2640396,0.24344362,0.2246695,0.20893465,0.19705178,0.18958835,0.18636046,0.18716627,0.19154276,0.1987511,0.20598419,0.20950596,0.20618491,0.19698472,0.18664658,0.18115799,0.18325327,0.19090386,0.19960602,0.20637684,0.21205182,0.21912722,0.22842915,0.23708414,0.24114226,0.23842661,0.23014061,0.2185154,0.20578606,0.19343895,0.18348724,0.17668474,0.1723362,0.16854966,0.16643995,0.17003131,0.18247098,0.19900306,0.20702146,0.194633,0.16132106,0.12153276,0.09560635,0.09643362,0.120465994,0.15273006,0.18017204,0.20237458,0.2264259,0.2556653,0.281224,0.29194623,0.28208756,0.2570567,0.22483468,0.19486217,0.17525078,0.17321159,0.18863933,0.21312249,0.23405494,0.24292165,0.23846315,0.22476965,0.20765454,0.19258656,0.1840595,0.1849147,0.19632415,0.21675557,0.24183905,0.265607,0.2864097,0.3107413,0.3486949,0.39996013,0.4465448,0.46291086,0.43858662,0.38774016,0.33777598,0.30717525,0.29674622,0.2965622,0.29801977,0.29858288,0.29911995,0.30053398,0.3025085,0.30432484,0.30539352,0.3052987,0.30412504,0.30275163,0.30273724,0.3050851,0.30832425,0.3091234,0.30439115,0.29552123,0.2878017,0.28637448,0.29080582,0.29479232,0.29263732,0.28380522,0.27345547,0.2655729,0.26017705,0.25409093,0.24591826,0.23739256,0.23139738,0.22904772,0.2290564,0.22943152,0.22909106,0.22833763,0.22802979,0.22865097,0.2298011,0.23065472,0.23049812,0.22927125,0.22721593,0.22517987,0.22446,0.22694801,0.23332654,0.24231851,0.25056812,0.25547722,0.2562984,0.2544663,0.25132445,0.24783754,0.24436463,0.24127518,0.23815711,0.23339868,0.22527651,0.21344747,0.19987799,0.18668534,0.17502461,0.16489996,0.15790887,0.15965855,0.1799699,0.2292796,0.30600068,0.39109537,0.451563,0.46681857,0.44048086,0.39835498,0.36216012,0.33933154,0.32481492,0.3139442,0.3076562,0.31136954,0.33303162,0.37412038,0.4246221,0.46047154,0.46206653,0.42720175,0.37583885,0.3302597,0.30212498,0.28812024,0.28154883,0.27883777,0.28282395,0.29949662,0.33348942,0.3805758,0.42695233,0.45811045,0.47287086,0.48061374,0.48817694,0.48622334,0.4618114,0.41231892,0.35302702,0.30138323,0.26606908,0.24400878,0.22908473,0.21791328,0.21064238,0.20820408,0.21011657,0.2145471,0.2194457,0.2233038,0.2251405,0.22431636,0.22126196,0.21753532,0.21582709,0.21680737,0.21937425,0.22089182,0.22285192,0.22912264,0.24280234,0.25973436,0.27146065,0.27187753,0.26215175,0.24880488,0.23743348,0.23031557,0.22586872,0.22124086,0.21289563,0.1996007,0.18312675,0.16840953,0.15830581,0.15148455,0.142231,0.12672998,0.10596186,0.0866354,0.07687662,0.08187491,0.10053799,0.12577045,0.14920868,0.16583759,0.17518562,0.17829673,0.17488332,0.16461508,0.14858736,0.1304413,0.11388431,0.10288116,0.1004987,0.10836703,0.12348326,0.13956077,0.15092175,0.15691067,0.15986143,0.16049565,0.15602185,0.14417958,0.12739429,0.11287262,0.10844489,0.119272895,0.14499395,0.18008387,0.21537799,0.2446477,0.2666783,0.28364837,0.2944535,0.2948997,0.28227845,0.2597044,0.23406653,0.21104367,0.19373594,0.18331575,0.18026026,0.18254025,0.18587099,0.18497723,0.17712145,0.16373919,0.14957255,0.13892101,0.13157387,0.12516351,0.121244736,0.12968445,0.16050549,0.211269,0.2656324,0.3073113,0.3385168,0.37238812,0.4160203,0.45184878,0.45734838,0.42359135,0.37067863,0.32511202,0.30336866,0.30071524,0.3053279,0.30771694,0.30686256,0.3050698,0.30496904,0.30688405,0.3100187,0.31284454,0.31455365,0.31485835,0.31422123,0.3130466,0.3112795,0.30730867,0.29849443,0.28363827,0.26612416,0.25296605,0.24936228,0.25383225,0.25890195,0.25772464,0.24848032,0.23515165,0.22270735,0.21441953,0.21006453,0.20775165,0.20541234,0.20233244,0.19932823,0.19742763,0.19690742,0.1964113,0.1945088,0.19037764,0.1843065,0.17624336,0.16521887,0.15018986,0.13149573,0.11222839,0.09693739,0.09017634,0.09351716,0.10473461,0.11798493,0.12719907,0.12923442,0.12512188,0.11783347,0.10916787,0.09870717,0.08536977,0.069780506,0.055076346,0.04544178,0.04351142,0.048174705,0.0550732,0.059115767,0.057896245,0.052240316,0.04732428,0.053153023,0.086313814,0.15866415,0.2639178,0.36892605,0.43522003,0.4456596,0.41699967,0.37929425,0.35061443,0.33057347,0.31184566,0.29328302,0.28116462,0.28602958,0.3172451,0.37329575,0.4364365,0.47662702,0.47390965,0.43111727,0.3717231,0.31834403,0.28144622,0.25931355,0.24755777,0.24466439,0.253908,0.282748,0.33334818,0.39652845,0.4502853,0.4807181,0.48971513,0.49211976,0.4906306,0.47550404,0.43589875,0.38001955,0.3269148,0.29321608,0.27995518,0.28078997,0.28765738,0.29712382,0.30631748,0.3136944,0.31782648,0.3190595,0.3182298,0.31613067,0.31300223,0.30875078,0.303792,0.2984364,0.29274738,0.28512585,0.27521786,0.26501694,0.26080406,0.26586804,0.27728578,0.28327718,0.27363667,0.24532916,0.20644836,0.16896717,0.14314778,0.13321908,0.13705325,0.14861417,0.1600703,0.16694827,0.16853358,0.16844825,0.16901606,0.17051399,0.1702049,0.16649722,0.15956952,0.15152852,0.14560285,0.144477,0.15016715,0.16078435,0.17330724,0.1837173,0.1911726,0.19521268,0.19626029,0.19375108,0.18811949,0.18035553,0.17214061,0.16499896,0.15975618,0.15637866,0.1538106,0.15085019,0.14708559,0.14320761,0.14038563,0.13761453,0.13220792,0.12091702,0.10504747,0.090299755,0.08583108,0.097298235,0.12385883,0.15718107,0.18865411,0.21512215,0.23911,0.26200327,0.2790062,0.2833375,0.27273354,0.25259566,0.23055029,0.21186416,0.19787079,0.18817438,0.18207942,0.1785484,0.17637105,0.17437708,0.17214775,0.16972046,0.16727674,0.16485381,0.16227208,0.16109793,0.16493352,0.17972332,0.20585914,0.23706217,0.2624931,0.28230464,0.30852675,0.3532947,0.40847817,0.44622567,0.44208112,0.39691964,0.33671093,0.290179,0.2693379,0.26794425,0.27240738,0.2741601,0.27148214,0.26703814,0.26269647,0.25900736,0.25585312,0.2542567,0.25565743,0.26093543,0.26955315,0.28042504,0.29200545,0.3014496,0.30501404,0.30090624,0.29265508,0.28688267,0.2871977,0.28975496,0.28611672,0.27073088,0.24483018,0.21581662,0.19196104,0.17945026,0.17856707,0.18405467,0.18718344,0.18300551,0.17381577,0.16715778,0.1680002,0.17439908,0.1799676,0.17987972,0.17420416,0.16589932,0.15780658,0.15104444,0.14544111,0.14044742,0.1362291,0.1356309,0.14278187,0.1600153,0.18303639,0.20355175,0.21381092,0.21193393,0.19965708,0.1800834,0.15570055,0.12999977,0.10652634,0.088781595,0.07955206,0.08234519,0.09847748,0.12472147,0.15242225,0.17265463,0.18024968,0.17792763,0.17748922,0.19971631,0.25917196,0.34931013,0.43494645,0.47966722,0.4701837,0.4277852,0.38162902,0.34828392,0.3250396,0.3044823,0.2857662,0.27680245,0.2909125,0.33662543,0.40696812,0.47410598,0.503613,0.47859254,0.41227627,0.33605215,0.27655214,0.24301346,0.2312218,0.23283619,0.24349873,0.26481697,0.30285725,0.35601392,0.41114962,0.44786295,0.462595,0.4678577,0.48067293,0.49386802,0.48738626,0.44550923,0.3790687,0.31026635,0.25825685,0.22662634,0.21183664,0.20794626,0.21105754,0.21659327,0.22135447,0.22255044,0.21988362,0.21269204,0.2017463,0.18770027,0.17345066,0.16219115,0.15790461,0.16105837,0.16867839,0.17618455,0.18512589,0.20331939,0.23349154,0.26346064,0.26832452,0.23490453,0.17177081,0.1059351,0.057447392,0.031410825,0.019770429,0.014400769,0.010988962,0.009213778,0.010445009,0.017312236,0.031819213,0.053354144,0.07710907,0.09690436,0.10853761,0.112340935,0.11130231,0.10859278,0.10581834,0.103459656,0.101612896,0.100345366,0.099816196,0.10017076,0.1015107,0.10336283,0.104837604,0.10484445,0.103088744,0.10001764,0.096660875,0.09369109,0.09125942,0.089060396,0.086941026,0.0851083,0.08399234,0.08371284,0.08388665,0.08387795,0.08328766,0.08223796,0.080996625,0.07975528,0.07834085,0.0767019,0.074870646,0.073110156,0.07143999,0.06985297,0.06822807,0.06674889,0.06547603,0.06450138,0.06367073,0.063476615,0.06520924,0.07117649,0.08286346,0.09972439,0.11820632,0.13421822,0.14516695,0.15194355,0.15668343,0.1607471,0.16298538,0.16200759,0.15858614,0.15644215,0.15947552,0.168316,0.17989796,0.19052409,0.19953434,0.20912491,0.22051497,0.2315254,0.23816913,0.23926651,0.2367868,0.23336391,0.22870523,0.22087485,0.20887448,0.19456692,0.18163054,0.17330454,0.17131257,0.17525844,0.18376149,0.19396633,0.20314007,0.20856954,0.2109807,0.21349107,0.22194086,0.23769903,0.2569677,0.27009016,0.27178666,0.26351392,0.25206438,0.24082126,0.2276567,0.21052717,0.19091512,0.17412657,0.16213782,0.15376948,0.14598215,0.13836132,0.13237083,0.12915178,0.12802546,0.12712003,0.12586232,0.12516059,0.12656297,0.1299633,0.13381211,0.13606852,0.13598023,0.13401942,0.1313073,0.1284635,0.12550639,0.121939935,0.11755992,0.11239562,0.10682649,0.101000965,0.094890505,0.08816577,0.0804979,0.072475135,0.06588817,0.0633421,0.065596685,0.070602156,0.07397132,0.072212,0.065027304,0.056191266,0.05207707,0.05792268,0.07432541,0.09615254,0.116280794,0.13000117,0.13704532,0.13934252,0.13830526,0.133933,0.12625372,0.117557675,0.111988135,0.113476105,0.12148782,0.13158704,0.13793801,0.13831769,0.13412803,0.12858056,0.12385958,0.120588094,0.11881729,0.118024975,0.117685735,0.11625293,0.11329669,0.10917273,0.10627762,0.105452575,0.10606166,0.10480726,0.09946439,0.0896629,0.07930815,0.07671406,0.09486707,0.1463529,0.232162,0.3328319,0.41291174,0.44295838,0.4193945,0.36486432,0.3091252,0.26936182,0.24745221,0.23687874,0.2323075,0.23038857,0.22980087,0.22923978,0.22794883,0.22530323,0.22109373,0.21570675,0.21006781,0.2058434,0.20467031,0.208023,0.21456768,0.22128873,0.2246054,0.22648738,0.23100634,0.24061005,0.24855047,0.24555303,0.22642446,0.19678189,0.16697566,0.14574462,0.13502912,0.13209558,0.13208763,0.13133146,0.12794663,0.12344288,0.1207883,0.122581504,0.12704226,0.12950854,0.12525186,0.114281505,0.10136834,0.09340773,0.09449324,0.102465,0.10997176,0.10993131,0.10249702,0.09569108,0.09876686,0.11315068,0.13094236,0.14176436,0.14139898,0.13335036,0.12418944,0.1180814,0.11541876,0.114381306,0.11284143,0.110078104,0.10730099,0.10757915,0.11296458,0.1227239,0.13280654,0.1392944,0.14046602,0.1377107,0.13346039,0.13019139,0.12945978,0.13255258,0.14132534,0.15839364,0.18443437,0.21402752,0.23603462,0.23985879,0.22330774,0.19356793,0.16181135,0.1368007,0.12220145,0.11819457,0.12268334,0.1331541,0.14535153,0.15458106,0.1561411,0.14885013,0.13535595,0.12086154,0.11068516,0.109494306,0.122351736,0.15141337,0.19145733,0.23031761,0.2596941,0.28772116,0.33081958,0.39514744,0.45856604,0.48988208,0.47285083,0.42506373,0.37705597,0.35113576,0.3465819,0.3521012,0.357172,0.35980347,0.36117092,0.36215976,0.36119857,0.35740587,0.35116228,0.34414127,0.3372034,0.33089462,0.3253038,0.32046092,0.31382677,0.30152968,0.28096,0.2567337,0.23808654,0.23228936,0.23616625,0.23877273,0.23000012,0.20829564,0.17975979,0.15177381,0.12835258,0.10956784,0.093852095,0.080158,0.06921818,0.06412604,0.06862081,0.08366435,0.10457575,0.122368075,0.1293415,0.123180516,0.10729013,0.08664275,0.0654638,0.046214197,0.031041771,0.021777568,0.020319814,0.02716498,0.04064936,0.05581209,0.066719234,0.06915477,0.06333817,0.052628756,0.041145932,0.031330775,0.02384569,0.018504888,0.015522721,0.016012164,0.021208676,0.030990275,0.043330234,0.05600503,0.06899252,0.08406955,0.10276965,0.124005914,0.14658517,0.16844128,0.18804376,0.20197779,0.21165836,0.22293241,0.24355936,0.27273697,0.30128777,0.31976208,0.32687545,0.32855162,0.33033276,0.33345377,0.33691707,0.33889866,0.33854535,0.33356127,0.32468012,0.3136407,0.3048652,0.29952765,0.29721832,0.29549837,0.2931693,0.29022586,0.28737822,0.28631425,0.2877716,0.29273778,0.30212703,0.3212494,0.35549358,0.40368307,0.44873872,0.4675847,0.44653532,0.3969604,0.34288275,0.3066112,0.29204437,0.29380202,0.301962,0.3121589,0.32132015,0.32942688,0.33606055,0.3419144,0.34666893,0.35046563,0.35318825,0.35557485,0.3579385,0.360824,0.36401036,0.3669828,0.36819386,0.36641192,0.36104253,0.35316095,0.34421626,0.33565643,0.32786164,0.32076946,0.3140838,0.30766144,0.30159047,0.29598737,0.2912056,0.28738394,0.2845247,0.28220853,0.28002504,0.27766898,0.27514803,0.27258357,0.27009153,0.26767835,0.26529697,0.26289952,0.26043126,0.25782028,0.2549566,0.25178143,0.2482741,0.24450642,0.24054994,0.2365431,0.23264883,0.2289943,0.22550853,0.22188587,0.21792738,0.21371888,0.20972353,0.20623213,0.20328937,0.2005258,0.19759472,0.19412233,0.18999429,0.18528527,0.18040414,0.17584312,0.17195635,0.16877444,0.16604061,0.1634783,0.16071962,0.15729134,0.15251635,0.1465264,0.14080088,0.13790202]