[0.2281377,0.22872114,0.22898214,0.22748642,0.22482987,0.22345768,0.22564594,0.23060803,0.23513937,0.23544843,0.23067255,0.22231118,0.21364106,0.20721607,0.20570087,0.20996517,0.218473,0.22576092,0.22647958,0.21889044,0.20621459,0.19287889,0.18038917,0.16829623,0.1565828,0.14960547,0.15129836,0.16280217,0.17798781,0.19012208,0.19452196,0.19263928,0.18682651,0.17817837,0.16452427,0.14417577,0.11868319,0.094532035,0.08064992,0.08398867,0.104577385,0.13448739,0.16174056,0.17757861,0.18040591,0.174944,0.16727704,0.1627087,0.16424161,0.17314243,0.18683296,0.20047861,0.2091449,0.21214329,0.2124353,0.21367943,0.21628173,0.21732019,0.21375422,0.20560552,0.19622439,0.18961574,0.18691964,0.18648224,0.18480803,0.18102789,0.1758753,0.1722771,0.17081197,0.17140377,0.17191243,0.17137133,0.1687268,0.16504528,0.16226466,0.16305263,0.16744012,0.171587,0.16963084,0.1586382,0.14249076,0.1290162,0.123887934,0.1253352,0.1266889,0.12191692,0.11030706,0.09528149,0.081204765,0.07073284,0.06486584,0.063526906,0.06566031,0.069047004,0.07086608,0.06949895,0.06548619,0.061218977,0.058918938,0.05959834,0.06308856,0.06882388,0.07584685,0.08239051,0.08636636,0.08715583,0.087056614,0.09072248,0.10134927,0.11765709,0.1332159,0.14117481,0.1382481,0.12657373,0.11048005,0.094391495,0.0824182,0.08005959,0.09243349,0.12068814,0.15865348,0.19569467,0.22221567,0.23513727,0.23779799,0.23641007,0.23544927,0.2353586,0.23402362,0.22961704,0.2232588,0.21839975,0.2187808,0.22565846,0.23653044,0.2458864,0.24798603,0.24055399,0.22607416,0.21020468,0.19785573,0.19092345,0.18840438,0.18862115,0.19059293,0.19402914,0.1983789,0.20283817,0.20679939,0.21008949,0.2120022,0.21122356,0.20663325,0.19947134,0.19292353,0.18989627,0.18940414,0.18675278,0.17832015,0.1663429,0.15949427,0.16430677,0.179824,0.19642001,0.20634292,0.20797493,0.2064547,0.20544529,0.20561658,0.20539577,0.20506209,0.20569004,0.20794857,0.21062495,0.21282667,0.21419246,0.21493596,0.21371377,0.20865315,0.19931708,0.1890089,0.18305463,0.18458624,0.19119518,0.19742404,0.19992267,0.20116834,0.20572634,0.21526743,0.22569658,0.23174463,0.23086768,0.22466882,0.21462913,0.20173894,0.18762286,0.1776846,0.17736773,0.18802483,0.20462666,0.21937363,0.22664465,0.22498685,0.21706645,0.20710255,0.19906735,0.19449033,0.19083892,0.18415709,0.17233561,0.16143511,0.16075717,0.1776946,0.20814598,0.24189985,0.2677032,0.28149435,0.28391206,0.27831605,0.2674577,0.25331363,0.23738481,0.22119461,0.20794363,0.20160316,0.2055068,0.21873696,0.23602907,0.2503233,0.25668082,0.25507274,0.24809949,0.23945616,0.23049945,0.2221266,0.21419199,0.20657527,0.19738913,0.18474479,0.16921896,0.15587299,0.15114649,0.1573263,0.16972917,0.1798305,0.18148379,0.1739009,0.16066165,0.14598925,0.13340756,0.12505578,0.12219832,0.12428161,0.129142,0.13379698,0.13639536,0.13685782,0.13625455,0.13587755,0.13717721,0.14240928,0.1530683,0.16842885,0.18420118,0.19627452,0.20295866,0.20679043,0.21024884,0.21433288,0.21760166,0.21994191,0.22217782,0.22525738,0.22745919,0.22647224,0.22136466,0.21432704,0.20798576,0.20395774,0.20181052,0.2013384,0.20229483,0.20421748,0.20471716,0.20094989,0.19127928,0.17632312,0.15762572,0.13633634,0.11345502,0.09114941,0.073233,0.06438879,0.06814606,0.084662,0.109439455,0.13464737,0.15311374,0.16136633,0.15985653,0.15064667,0.13650031,0.12136244,0.110231996,0.10639286,0.10878148,0.11222189,0.11187921,0.10674337,0.10050873,0.09764475,0.10063758,0.10850238,0.11871674,0.12827033,0.1346943,0.13632086,0.13341723,0.12865326,0.126574,0.13108842,0.14321549,0.15978539,0.17538881,0.18510152,0.18678653,0.18106799,0.17032059,0.15819721,0.14867604,0.14547324,0.15052818,0.1640361,0.18376075,0.20547408,0.22349592,0.23363383,0.23461844,0.22823001,0.21634197,0.20087194,0.18454053,0.1730349,0.17144103,0.18083578,0.1953516,0.20715787,0.21025683,0.20446052,0.19233435,0.17795737,0.1632667,0.14913635,0.13535608,0.12425689,0.120213844,0.12786795,0.14617814,0.16797103,0.18402477,0.19137804,0.19433229,0.19934607,0.20742877,0.21463056,0.21661462,0.21332885,0.20643921,0.19675761,0.18350583,0.16914004,0.16008979,0.16410671,0.18242173,0.20897584,0.23281622,0.246478,0.24768822,0.23932184,0.22463621,0.20615347,0.18642658,0.17036599,0.16426392,0.17187148,0.19037516,0.21231087,0.22986192,0.23964624,0.24141051,0.2368093,0.22750686,0.21719335,0.20994337,0.20930757,0.21418355,0.22121252,0.22605777,0.22735107,0.22502649,0.21982229,0.21216929,0.20294976,0.19360316,0.1853848,0.17892317,0.17387618,0.16955292,0.16538857,0.16187818,0.1606258,0.16422306,0.17475347,0.19293974,0.21702802,0.24337816,0.26669788,0.28167212,0.2850412,0.27863505,0.26948932,0.26568404,0.2701389,0.2786267,0.28411874,0.28383076,0.2814547,0.28365505,0.2935082,0.3083103,0.32166085,0.32834613,0.32642707,0.31663454,0.30032256,0.2787055,0.2558242,0.24140292,0.2521266,0.30005875,0.3816569,0.4705946,0.535698,0.55920553,0.54896945,0.5251295,0.5045152,0.49167657,0.48294982,0.47514102,0.46785673,0.4642798,0.46475923,0.46605083,0.45944402,0.43810496,0.40187418,0.3601258,0.3260614,0.30904034,0.31008318,0.32241893,0.33598542,0.3421956,0.33748797,0.32422146,0.30878088,0.29819834,0.29666212,0.3033439,0.3129154,0.31857565,0.31477407,0.29956543,0.27491,0.24938463,0.23510651,0.24326356,0.27464938,0.31851014,0.35652542,0.37303415,0.36422193,0.33838844,0.3106016,0.28935483,0.2751491,0.2612866,0.24510933,0.23120296,0.23456211,0.27250874,0.34980163,0.44793257,0.52887625,0.5626035,0.54484934,0.49977365,0.45552015,0.42855594,0.41800728,0.41676977,0.4189125,0.42350772,0.43094754,0.43917176,0.44150138,0.430217,0.4034927,0.36819887,0.3359523,0.31362462,0.3004453,0.29107678,0.2822717,0.27465907,0.2706447,0.2727678,0.28156528,0.29576844,0.30975676,0.3159503,0.3074161,0.28436187,0.25525138,0.23427431,0.23189093,0.2478383,0.26893708,0.28084537,0.27957723,0.2786372,0.29239285,0.3221816,0.34870258,0.35417238,0.33717147,0.31621167,0.30792978,0.3132799,0.31902936,0.3146632,0.30517828,0.30864763,0.3420197,0.40513644,0.47724414,0.52999514,0.5469427,0.53472763,0.5136321,0.5014639,0.50127345,0.50652933,0.5096236,0.50891095,0.50618273,0.50413203,0.5029462,0.49984968,0.48750687,0.45843074,0.41038808,0.35171375,0.29740766,0.2617223,0.25079775,0.2615083,0.28377193,0.30607113,0.31940377,0.32134655,0.31319365,0.2988374,0.28029355,0.26255783,0.25089464,0.25118452,0.26166204,0.2775847,0.29300675,0.30686262,0.31912193,0.33155462,0.34683442,0.36679113,0.38758495,0.39911842,0.3942941,0.3756739,0.35400203,0.3366811,0.32307056,0.30838826,0.2937022,0.2880068,0.3045456,0.3500581,0.42063498,0.49897894,0.563998,0.5992329,0.6034496,0.5877886,0.5677605,0.55299836,0.54457,0.538898,0.5325309,0.52607536,0.5227122,0.5243902,0.5260461,0.5169477,0.48824644,0.44331113,0.39592448,0.36082563,0.3411678,0.3328141,0.3308116,0.33859465,0.35913858,0.39196673,0.42789933,0.45803502,0.47604993,0.48142767,0.4753213,0.45853162,0.43117067,0.3957387,0.35836092,0.32667258,0.30375382,0.29001018,0.28614938,0.29917213,0.33157727,0.375486,0.40937278,0.41725448,0.39823684,0.3682206,0.34286335,0.32911587,0.32434252,0.32408598,0.32667372,0.3347936,0.35492778,0.3928065,0.4452044,0.49606454,0.523911,0.51939845,0.49199653,0.4627318,0.44623014,0.44499466,0.4531498,0.46516192,0.47862038,0.49322832,0.5092357,0.5235465,0.5296239,0.5183509,0.48728693,0.44239795,0.39770815,0.36525038,0.35161626,0.35489914,0.36799553,0.38115087,0.38657916,0.3805233,0.36375216,0.34114206,0.32103518,0.3131268,0.32293418,0.34857917,0.38138565,0.41105238,0.42913568,0.4309615,0.4178044,0.39811623,0.3853481,0.38903773,0.40727428,0.4261963,0.42952514,0.40973198,0.37210807,0.33090577,0.29951218,0.2853527,0.2868708,0.29965577,0.3202667,0.35116145,0.39586723,0.4517827,0.50617975,0.54099506,0.5476532,0.5314118,0.50896037,0.4932843,0.48907688,0.49138173,0.49254194,0.48756412,0.47813198,0.47253597,0.47635868,0.48784342,0.4951118,0.48886,0.46550477,0.43108878,0.39252296,0.35728276,0.33126652,0.31962875,0.3248164,0.34359792,0.369017,0.3918222,0.4072055,0.41355792,0.4138708,0.4102871,0.40672776,0.40503165,0.40644726,0.40754876,0.40424266,0.39394343,0.3798178,0.36924207,0.36773524,0.37304708,0.37441516,0.36281523,0.3390026,0.31380954,0.29659525,0.2899287,0.29110113,0.30071613,0.32192764,0.358608,0.41057253,0.47483253,0.54233265,0.5989266,0.62922555,0.6281863,0.60527414,0.57840866,0.5614334,0.55617446,0.5559071,0.55024713,0.53466153,0.5112646,0.49062157,0.47980675,0.47785035,0.4726943,0.45536897,0.42618048,0.3959159,0.3742474,0.36399007,0.36073375,0.35699043,0.3466011,0.32743284,0.3047987,0.2886293,0.28728697,0.30064186,0.32150862,0.34257856,0.3608012,0.37651554,0.388309,0.39424,0.39249885,0.38597095,0.3799932,0.38318083,0.40187478,0.43508783,0.47072986,0.4897268,0.48029497,0.4434707,0.39569858,0.3538703,0.3319913,0.33171442,0.3489448,0.3749317,0.40549883,0.44266722,0.48757696,0.53520155,0.56979483,0.5820773,0.57288295,0.5569999,0.54515475,0.54135185,0.54046625,0.5381734,0.53254825,0.5259939,0.5223732,0.52287525,0.5233512,0.51352435,0.4869198,0.4448744,0.39948928,0.3618439,0.3381933,0.32698175,0.3260783,0.33399498,0.350495,0.3727,0.39506367,0.4106479,0.4162384,0.4147706,0.41416696,0.42131388,0.4370501,0.45640898,0.4719224,0.47758126,0.46970972,0.45073068,0.42963934,0.42146015,0.43271458,0.45582655,0.46620867,0.44524777,0.39027938,0.3226371,0.26639396,0.23718949,0.23217632,0.2426573,0.26391718,0.30129567,0.3629715,0.4448487,0.52822846,0.58462214,0.60045195,0.58035755,0.5457736,0.51275,0.48866293,0.47209492,0.46223179,0.4592302,0.46285388,0.47040558,0.47781548,0.48239863,0.48400614,0.484383,0.48415348,0.48261988,0.47758946,0.46813977,0.45450023,0.43999505,0.42942905,0.42759576,0.43499562,0.44732928,0.45758286,0.4604663,0.45388994,0.4386786,0.41678274,0.39158717,0.3669248,0.34664568,0.33223006,0.32303885,0.31757343,0.31593516,0.3210186,0.33508444,0.35744676,0.38149628,0.40084818,0.41192755,0.41784272,0.42216173,0.42678472,0.4294951,0.42870188,0.42569456,0.42525062,0.4318618,0.44642618,0.4659069,0.48561183,0.501458,0.5102562,0.509621,0.49938372,0.4832591,0.4680575,0.4597629,0.4590373,0.46187842,0.46363354,0.46463433,0.46876344,0.47941136,0.49429846,0.5074022,0.51314354,0.511666,0.5087437,0.5121729,0.5252071,0.5437996,0.5596722,0.56783456,0.57072824,0.5755214,0.58697015,0.6034854,0.61896056,0.62812185,0.62973017,0.6256306,0.61827296,0.6085916,0.59690696,0.58336204,0.5691953,0.55641526,0.5475545,0.5442662,0.5460832,0.5511252,0.55801684,0.567283,0.57990986,0.59572613,0.61303836,0.6300674,0.64329463,0.64878076,0.64342076,0.6324532,0.62477976,0.6283359,0.6388028,0.6472567,0.64532685,0.6359153,0.6240011,0.6138931,0.6034241,0.59398395,0.58942467,0.59349513,0.6020561,0.6078859,0.60909647,0.61035866,0.615217,0.6201915,0.61985236,0.6159224,0.61467505,0.62013024,0.6260464,0.6253357,0.6147726,0.60144424,0.5916992,0.58893454,0.58715683,0.5802092,0.5620617,0.5329401,0.49486104,0.4542376,0.41798842,0.3928682,0.3803874,0.3783162,0.38206518,0.38819733,0.3925052,0.39075556,0.3802996,0.36436835,0.35018942,0.34304777,0.3400512,0.3321365,0.31128588,0.2819095,0.2615747,0.27611074,0.33667275,0.43074122,0.52084875,0.57481027,0.5818015,0.5585032,0.5268903,0.50294805,0.49213636,0.49717188,0.51475245,0.53674567,0.55028224,0.5513804,0.5423398,0.5299817,0.51484734,0.49891356,0.48720682,0.48949775,0.50722736,0.53127146,0.54435015,0.5370882,0.5121241,0.48251116,0.45838687,0.44452965,0.44151115,0.45211717,0.4754897,0.5060744,0.5319125,0.5470837,0.5497444,0.5427411,0.5248988,0.4995047,0.47441006,0.46348092,0.47139704,0.491616,0.50643307,0.5045276,0.48505092,0.4588199,0.43550768,0.41973078,0.41099086,0.4086689,0.41438282,0.43012798,0.45712647,0.49124432,0.5230541,0.5389963,0.5316791,0.5047895,0.4720072,0.44561815,0.43104926,0.42800966,0.4366915,0.45622814,0.48203754,0.5043548,0.5156696,0.51366854,0.50077325,0.47961542,0.45495975,0.43555716,0.43250105,0.44789413,0.47143292,0.48334,0.4732578,0.44444108,0.41286877,0.38966763,0.37962902,0.3811836,0.3955934,0.42071936,0.4512289,0.4759973,0.48922244,0.48744044,0.4707253,0.4377965,0.39571753,0.35898533,0.3467046,0.36523902,0.4062066,0.44681835,0.47015992,0.47028565,0.45723632,0.44197562,0.43217167,0.4280459,0.42829022,0.43260992,0.4428278,0.46230295,0.489782,0.51725817,0.5305715,0.5216325,0.494572,0.46384218,0.4423271,0.4350715,0.44133458,0.4593375,0.4849712,0.5101087,0.5240979,0.52374655,0.5130487,0.49986014,0.48562458,0.4715269,0.46107796,0.46423718,0.48288432,0.50859374,0.5220366,0.5131136,0.4841844,0.45110607,0.42547014,0.4128468,0.4114118,0.42091337,0.43843237,0.45948222,0.47680116,0.48749378,0.49056458,0.48504767,0.46904245,0.44572246,0.4255072,0.42026463,0.43299457,0.4550493,0.47108212,0.47202587,0.4589713,0.44140878,0.42639527,0.4160442,0.40880188,0.40468344,0.40550217,0.414747,0.43607727,0.46944642,0.50651693,0.5307998,0.52980775,0.5044605,0.47002813,0.44223976,0.4287685,0.4290285,0.4411941,0.46332046,0.49070358,0.51453996,0.5275561,0.52634937,0.51219624,0.48639032,0.45510888,0.42872596,0.42192516,0.43836844,0.4682254,0.48876914,0.4857441,0.45944682,0.42533,0.39675507,0.3809599,0.37915495,0.39293948,0.41995558,0.45307234,0.48184243,0.5024268,0.5154024,0.5214967,0.51476616,0.4917455,0.45820358,0.43226266,0.42918646,0.45184386,0.48584184,0.5152511,0.5316393,0.5392025,0.5436855,0.5470633,0.5462392,0.53846645,0.5246453,0.5102887,0.5043481,0.51339245,0.5352312,0.5565497,0.56264967,0.5479511,0.52038664,0.49188396,0.47178566,0.46406698,0.47253323,0.49633622,0.52867717,0.55470854,0.56503445,0.55825955,0.5427933,0.5239193,0.5061244,0.4917611,0.48785958,0.49646696,0.5134246,0.52574253,0.5255069,0.51378787,0.50108343,0.49406448,0.49311653,0.49429893,0.4988216,0.5091918,0.5263331,0.5443186,0.55890244,0.56677634,0.566962,0.55511194,0.531442,0.5027592,0.48304072,0.48033714,0.49247327,0.5067455,0.5124504,0.505875,0.49213183,0.4777542,0.4668846,0.46070695,0.45891047,0.4623166,0.47161844,0.48904744,0.5134464,0.5387872,0.5524116,0.5440602,0.51400155,0.47435358,0.4404197,0.42133275,0.41878065,0.43026912,0.449739,0.46905872,0.48015055,0.4843203,0.48815474,0.49845847,0.5108275,0.51905847,0.52014655,0.5208604,0.52365476,0.52350426,0.50744337,0.47101876,0.4217979,0.37677243,0.34772417,0.33734632,0.34190845,0.3594903,0.38820353,0.4243197,0.45933726,0.48852253,0.5074964,0.513881,0.4998608,0.46682158,0.4249229,0.39552864,0.38961175,0.40429166,0.4215959,0.4269894,0.417071,0.4018683,0.39338055,0.39670467,0.40799037,0.41944054,0.42726156,0.4333668,0.44572088,0.46989146,0.5042701,0.5356204,0.54825526,0.5341502,0.5000679,0.46204484,0.43612984,0.43095115,0.44629216,0.4723525,0.49501833,0.50233936,0.49538314,0.48425093,0.47947553,0.47879028,0.47434592,0.46209848,0.45159814,0.45376322,0.47043085,0.4885881,0.49372458,0.48184535,0.4624416,0.44832098,0.44558895,0.4524574,0.4646677,0.4770755,0.48592567,0.48815954,0.48951998,0.49486056,0.5058854,0.51007533,0.50116056,0.48150074,0.46856022,0.47059992,0.48391554,0.49241996,0.48575544,0.46437612,0.43730536,0.412953,0.39473796,0.3827714,0.37726963,0.37807262,0.38598445,0.40183005,0.42903516,0.46447015,0.4977664,0.5110201,0.49689564,0.46063122,0.4192405,0.38531065,0.36717215,0.36865768,0.39168108,0.4293821,0.46678403,0.48954833,0.49356642,0.48346248,0.4629924,0.4343698,0.40349674,0.385299,0.3923789,0.42294928,0.45787117,0.47486147,0.4661796,0.4411143,0.41684234,0.40348098,0.40285555,0.4120449,0.4274688,0.4446117,0.45786092,0.46671423,0.4731754,0.4792583,0.47773823,0.46350995,0.43901467,0.42049336,0.42031875,0.4390429,0.46207395,0.47485122,0.4718677,0.45967153,0.44875562,0.4466398,0.45566392,0.47491875,0.5008223,0.52645725,0.54424,0.5526814,0.5584798,0.5692397,0.5837158,0.59117144,0.58363336,0.56483823,0.5496597,0.5489369,0.56229204,0.58066887,0.59954196,0.6213796,0.64929324,0.67839354,0.6991866,0.7039666,0.69181514,0.6650186,0.62966365,0.5955229,0.5755219,0.57511324,0.5882671,0.5988815,0.59841377,0.5880962,0.5796075,0.5775357,0.5825045,0.5923941,0.61327857,0.649695,0.6979739,0.7414128,0.764352,0.76044625,0.73559356,0.69856566,0.6575882,0.6205264,0.59512377,0.58501285,0.5857976,0.5868066,0.5808597,0.5688754,0.56361336,0.5764044,0.608423,0.64246315,0.65844685,0.6498561,0.6314308,0.62126863,0.6233055,0.6232004,0.6080993,0.57745415,0.54371077,0.5164954,0.49902532,0.48829052,0.4816992,0.47791874,0.47899577,0.48923302,0.5114354,0.538678,0.5544701,0.5402505,0.4915011,0.42140818,0.35627058,0.3164953,0.30703163,0.3150889,0.32484892,0.32743654,0.32575297,0.32674515,0.3359883,0.35280144,0.37119785,0.3817991,0.37870875,0.36372498,0.34571913,0.33334827,0.32891372,0.32832375,0.32656884,0.32531777,0.33403197,0.36187184,0.40527079,0.44469294,0.45868906,0.44041145,0.4024297,0.36347353,0.33473864,0.316668,0.30542907,0.3029035,0.3168426,0.35791203,0.42378044,0.49863625,0.55491155,0.5778902,0.568731,0.54547197,0.52249956,0.5084066,0.5035657,0.5072253,0.5167965,0.53034735,0.54701644,0.5654412,0.57775635,0.5697413,0.52931696,0.4587756,0.37388107,0.29362878,0.22821714,0.17975402,0.14721142,0.13003828,0.1255241,0.12703311,0.12662344,0.11939454,0.106288575,0.09166934,0.07997789,0.0727953,0.06962936,0.06975546,0.07342505,0.08116839,0.092519075,0.108632006,0.13520204,0.18228006,0.25145164,0.32618573,0.37371013,0.3698164,0.31659243,0.24200149,0.17622574,0.13440065,0.11417467,0.10692968,0.10912038,0.12791635,0.17783232,0.26596585,0.37865615,0.48231187,0.5463831,0.56356996,0.5523062,0.5374494,0.5337464,0.54195255,0.5561486,0.5711506,0.5847416,0.5963761,0.6034122,0.5988729,0.57475734,0.52903575,0.4716046,0.41774097,0.3778341,0.34914955,0.32393953,0.29911792,0.28230318,0.28245237,0.30116212,0.32841972,0.35089365,0.35981965,0.356374,0.34799218,0.3437439,0.34752426,0.3575156,0.36675787,0.36834052,0.35707173,0.3337388,0.3082622,0.29990682,0.32446396,0.3775352,0.4309623,0.4534602,0.43551144,0.39461425,0.35634914,0.33455935,0.3274472,0.32742968,0.33139566,0.34357604,0.37303805,0.4228172,0.48428288,0.5361054,0.56287026,0.56381255,0.5549052,0.550303,0.55499244,0.5634852,0.5690338,0.567888,0.56141573,0.55536526,0.5559664,0.56261104,0.5641013,0.5431064,0.49042526,0.413371,0.33516502,0.27905247,0.2561148,0.25935045,0.2732158,0.2838236,0.28662238,0.28562582,0.2902315,0.31089807,0.3536303,0.41479516,0.47916475,0.5275528,0.54647785,0.5389249,0.518122,0.5002044,0.48804867,0.47767007,0.4653006,0.45964596,0.4714185,0.50009936,0.5297567,0.5418497,0.531894,0.51159614,0.49819794,0.500231,0.51303154,0.5260121,0.53338784,0.5382704,0.54734004,0.56139475,0.5716166,0.5661362,0.5406573,0.50418097,0.4718113,0.4546139,0.45395374,0.46432248,0.47990048,0.49724516,0.51527834,0.52966183,0.5313918,0.5108389,0.46797714,0.41661656,0.37558594,0.35476148,0.34788916,0.34144023,0.32656178,0.30659375,0.29152587,0.29069498,0.30598885,0.33327046,0.3645021,0.39147744,0.4070871,0.40835944,0.39794222,0.3833116,0.37168542,0.36641216,0.36587068,0.36867082,0.37578443,0.39291215,0.42137453,0.45583677,0.47994828,0.48085436,0.454585,0.4142827,0.37830165,0.36280826,0.3701357,0.39102948,0.41187313,0.42701626,0.44353172,0.47201714,0.514041,0.5549361,0.57618517,0.56881285,0.54087496,0.5079294,0.4823804,0.4682475,0.46329844,0.46439064,0.47032437,0.48274258,0.5011589,0.51858187,0.5227681,0.5058948,0.4725385,0.4370592,0.41273856,0.40343133,0.40445712,0.40727273,0.40378764,0.38763002,0.35816646,0.32165754,0.28993127,0.27150014,0.26704836,0.26932082,0.27078584,0.26765442,0.26130596,0.2547066,0.25056365,0.24945278,0.2531825,0.26559123,0.29319414,0.33318543,0.37180385,0.38575134,0.36517224,0.31762293,0.26692405,0.23136474,0.21831012,0.22277452,0.23712815,0.2578255,0.28886142,0.33954117,0.4105207,0.4872776,0.54225177,0.5582099,0.53931195,0.5091885,0.48849046,0.48387364,0.48885047,0.49523112,0.49924865,0.5017187,0.5065705,0.51622254,0.5270274,0.52729756,0.50612664,0.4656385,0.42187428,0.393437,0.38529563,0.38980052,0.3946571,0.39462924,0.38980058,0.38296747,0.37705317,0.37590337,0.38259622,0.3941116,0.40159583,0.39585176,0.37760624,0.35827887,0.35097182,0.35765243,0.36670658,0.36575592,0.35565782,0.35387096,0.37579122,0.41969678,0.46191457,0.47964737,0.46549833,0.43282136,0.39890578,0.3750788,0.3636558,0.36135197,0.36486742,0.37289274,0.39221802,0.4286673,0.48200545,0.5359309,0.57433033,0.5871985,0.5822138,0.56993574,0.56287336,0.56502557,0.576498,0.5899536,0.59808534,0.59642893,0.5880653,0.5787826,0.5739189,0.5748837,0.5811946,0.5910037,0.60139495,0.6096869,0.6153512,0.6203614,0.62555075,0.62737346,0.62144804,0.60887986,0.5970647,0.59230036,0.5905579,0.5832281,0.5641379,0.5367568,0.5054738,0.4725021,0.43772218,0.40402004,0.3774242,0.36172637,0.35580334,0.35372484,0.35113963,0.34844926,0.35079637,0.3620561,0.38012776,0.39657024,0.40280247,0.39623204,0.38210917,0.36862585,0.36165154,0.36234722,0.36874923,0.37787986,0.386659,0.39280522,0.39476845,0.3926328,0.3872627,0.3808278,0.37497273,0.3708856,0.3680344,0.3661177,0.36476257,0.3643025,0.36430216,0.36447546,0.3647183,0.36576572,0.36804128,0.371274,0.37445724,0.37682948,0.37831268,0.37925088,0.37986803,0.37967858,0.37819955,0.37538123,0.37252817,0.3710434,0.37153575,0.3729267,0.37363443,0.37276697,0.37055242,0.36805132,0.3662934,0.3663217,0.3688059,0.37492073,0.3856512,0.40162876,0.4209148,0.43993282,0.4540541,0.46078262,0.4593903,0.45137107,0.43852058,0.42334569,0.40791938,0.39426473,0.38353255,0.37647521,0.37291014,0.3719252,0.3719295,0.37162745,0.37078676,0.37038216,0.372111,0.37703708,0.3847908,0.3932097,0.39998987,0.4039224,0.4052725,0.40387037,0.39842844,0.38739327,0.37112787,0.3524047,0.33457103,0.31997132,0.3081907,0.29775685,0.28683245,0.27606153,0.26713726,0.26172337,0.25914207,0.25769374,0.2564188,0.2556754,0.25572076,0.25425133,0.24679422,0.22907168,0.20215935,0.1741692,0.15718375,0.1593772,0.17987621,0.21001817,0.23920417,0.26012674,0.27069035,0.2729832,0.2708948,0.2670641,0.26464114,0.2693124,0.29421005,0.34846196,0.4327772,0.52619743,0.6060516,0.6506903,0.660804,0.6432395,0.61492604,0.58462375,0.5591665,0.53644794,0.51515394,0.4945722,0.47928655,0.4732773,0.47682357,0.48303294,0.48307708,0.4717488,0.45196974,0.43095943,0.41491482,0.40400925,0.39409778,0.37967265,0.359616,0.3386571,0.32614288,0.32863924,0.34463868,0.36549285,0.38189816,0.38987938,0.38918686,0.38088724,0.365446,0.3464224,0.33022308,0.32367063,0.32822677,0.34017542,0.35376874,0.36619365,0.37715507,0.38713613,0.39495158,0.39882365,0.3971434,0.38985482,0.37874988,0.36733758,0.35933366,0.35587618,0.35526133,0.35424948,0.35147032,0.3476243,0.3449731,0.34531558,0.3495824,0.357066,0.36553013,0.3718551,0.3736738,0.3708179,0.36494577,0.3584994,0.35295582,0.348768,0.344762,0.33917156,0.33039248,0.31871164,0.30536988,0.29122904,0.27620947,0.2613317,0.24974303,0.24480408,0.24736388,0.25519994,0.26505515,0.27416047,0.28067234,0.28365603,0.2832705,0.28057945,0.27734435,0.27555725,0.2774218,0.28301933,0.29025424,0.29501748,0.2958802,0.29444215,0.29484499,0.29994977,0.31026256,0.32406238,0.33764806,0.34732434,0.35008335,0.34610298,0.33870402,0.33545813,0.34791413,0.38531604,0.44974223,0.5270152,0.59818715,0.6421273,0.6540573,0.6357758,0.60236853,0.56497365,0.5358374,0.51657146,0.50597614,0.49730542,0.48720947,0.47460806,0.46227264,0.45150444,0.44236374,0.43349347,0.42580009,0.42098323,0.42129695,0.4262419,0.43437588,0.44203344,0.44704333,0.44715115,0.44369733,0.43790045,0.43304002,0.42990124,0.42969593,0.4311246,0.4335129,0.4349947,0.43490484,0.4330742,0.43082598,0.42976904,0.43080583,0.43367505,0.43807784,0.44452474,0.4535552,0.46353793,0.47059843,0.47079694,0.46342793,0.4515313,0.44008872,0.43208802,0.42705306,0.4216783,0.41344103,0.40280005,0.3926338,0.38692656,0.387404,0.39403534,0.40323648,0.4118664,0.4173453,0.42020473,0.42116463,0.42106676,0.42016688,0.4195951,0.42044798,0.42227328,0.4224254,0.41798684,0.40880203,0.39741257,0.38722065,0.379802,0.37604234,0.37693715,0.38391402,0.39630416,0.41090667,0.42305073,0.42993453,0.43175173,0.43149462,0.43204698,0.4345043,0.43719372,0.43812904,0.43719697,0.4386514,0.4472978,0.46474484,0.48442343,0.4975958,0.49836072,0.4900523,0.4794015,0.47305235,0.4720185,0.4752008,0.47931924,0.4834503,0.48739973,0.49415794,0.5045859,0.518167,0.53008264,0.5384036,0.5431313,0.55039936,0.56226015,0.5779658,0.5876992,0.58606356,0.5718804,0.5539295,0.53888494,0.5303022,0.52581286,0.5231541,0.52226305,0.52601576,0.5379028,0.55627275,0.57170945,0.5691313,0.5374831,0.47869742,0.40806803,0.34787884,0.31369236,0.308089,0.31747428,0.32435456,0.31785306,0.30311072,0.29307058,0.2980723,0.316332,0.33810365,0.35322523,0.358158,0.35442278,0.3433535,0.3239168,0.29682577,0.2711598,0.26180255,0.28153682,0.3308793,0.39738035,0.45916438,0.49493408,0.49352947,0.46052614,0.41337654,0.37061587,0.3414402,0.32584333,0.31831005,0.31555882,0.3199768,0.34202734,0.390193,0.46113047,0.5331125,0.58167857,0.5941747,0.579041,0.5532045,0.5311928,0.51744604,0.5105471,0.50707203,0.5063811,0.51024383,0.5209833,0.535402,0.5437899,0.53351563,0.4984218,0.44270134,0.38086224,0.33016315,0.30454206,0.30491564,0.31979668,0.33150375,0.33249488,0.32975617,0.33949968,0.37061015,0.418856,0.4688982,0.50613165,0.52174324,0.51558894,0.49268237,0.46146312,0.4302404,0.40638253,0.39611128,0.40337896,0.42512083,0.44864607,0.45794272,0.44645998,0.42154455,0.39542052,0.37292728,0.35122076,0.32974944,0.316179,0.32308412,0.3578817,0.41855732,0.49129382,0.55777746,0.6010695,0.6172628,0.61331296,0.60266644,0.592745,0.58500695,0.57734185,0.5706484,0.56741357,0.5694404,0.5758067,0.58281785,0.5837178,0.56792635,0.526329,0.45862937,0.3783555,0.30667344,0.2600411,0.24204946,0.24489109,0.25904596,0.2784346,0.30029073,0.320827,0.33624974,0.34471786,0.34680367,0.34112963,0.3252941,0.3012054,0.28022322,0.27520666,0.288313,0.30613694,0.3143941,0.31282446,0.3201309,0.35276577,0.4103336,0.4682714,0.50182813,0.49829087,0.4656342,0.4164493,0.3641112,0.31831113,0.2882843,0.27941594,0.2925581,0.32821766,0.3826805,0.44752836,0.50239795,0.5324748,0.533506,0.5194938,0.5049108,0.49894342,0.5008556,0.5063494,0.51134104,0.5146625,0.5199642,0.53177947,0.5499739,0.56540614,0.5645888,0.53893375,0.49053252,0.43189207,0.37867895,0.34425735,0.33327875,0.34202945,0.36048257,0.3790548,0.39236137,0.40088627,0.4097835,0.42637393,0.45530525,0.49367413,0.53148955,0.558014,0.5706768,0.574011,0.57516295,0.57433134,0.5689159,0.5572906,0.54700327,0.5461945,0.5581436,0.57312053,0.58025855,0.5720949,0.55329067,0.53074807,0.51225287,0.50287163,0.5064118,0.524811,0.5515835,0.57838875,0.5946436,0.59791493,0.58860826,0.5733246,0.5591951,0.5519438,0.5515959,0.5532122,0.55166364,0.54482293,0.5356135,0.52990633,0.53222996,0.5404084,0.54408044,0.53169185,0.49904963,0.4534541,0.407589,0.37171152,0.34916306,0.33838546,0.33618557,0.34017643,0.34902725,0.3625641,0.3805188,0.4017277,0.42267838,0.43891048,0.4464575,0.44384202,0.43155357,0.41102013,0.38551167,0.36088884,0.34726194,0.35371244,0.3838698,0.4281473,0.46766603,0.48221168,0.46617416,0.43101296,0.3978776,0.3810366,0.38099614,0.38714024,0.38542986,0.36814156,0.3396275,0.32140318,0.33643162,0.39405683,0.47432622,0.54807925,0.59327537,0.6116923,0.61289316,0.60738426,0.5976596,0.58681816,0.5764802,0.5708445,0.57149714,0.57948846,0.5877083,0.5842573,0.55391043,0.4927365,0.4107951,0.3324475,0.27939174,0.2606871,0.2676066,0.28595462,0.30547258,0.32380942,0.33970353,0.3507116,0.35496914,0.35559288,0.3577708,0.36456886,0.37232086,0.37413177,0.36258462,0.33807516,0.3097575,0.29505262,0.30670545,0.34413263,0.39045095,0.42436543,0.43245038,0.417877,0.39483103,0.37979555,0.3794835,0.3912256,0.40420637,0.4076523,0.39510533,0.3723692,0.3588997,0.37518,0.42682615,0.49356547,0.5485101,0.5750267,0.57973546,0.5763652,0.57523894,0.57700044,0.5795904,0.5824848,0.5866672,0.5928126,0.5981903,0.59605813,0.5777977,0.5368881,0.47450233,0.39954326,0.32852396,0.277545,0.2564275,0.26162007,0.28202045,0.30518034,0.32580745,0.34223244,0.3562542,0.36960164,0.38532642,0.40245613,0.4143528,0.41327062,0.4004568,0.391071,0.40152308,0.43474984,0.47547746,0.50746506,0.527308,0.54367787,0.5587933,0.56110626,0.53237,0.46873066,0.3850108,0.30845279,0.25753945,0.23746943,0.2424062,0.27004084,0.32058632,0.39197913,0.46930084,0.5316098,0.56080264,0.5558738,0.52935505,0.50066924,0.48075342,0.47085664,0.46588337,0.4638385,0.46602485,0.47407603,0.48697865,0.5018716,0.51447535,0.51865023,0.5090358,0.48673794,0.4600226,0.43701854,0.41659096,0.39165518,0.3598782,0.3327502,0.3264155,0.3488842,0.39015332,0.43157497,0.45679697,0.460436,0.445797,0.42073023,0.3948078,0.3745103,0.3608389,0.34841728,0.3345909,0.32332906,0.32536674,0.34771106,0.39120662,0.44794086,0.50540775,0.5478659,0.56379247,0.551322,0.5180878,0.4751915,0.43069658,0.39014372,0.3594657,0.34757146,0.3625038,0.40496862,0.4630543,0.5166666,0.5475645,0.55083346,0.534316,0.512638,0.49665582,0.49143076,0.49524245,0.50304204,0.5081493,0.5065138,0.49811134,0.48609626,0.47301197,0.45994952,0.4476187,0.4392133,0.43872747,0.44889593,0.46764815,0.48988947,0.50895226,0.52101636,0.525256,0.5247357,0.52292484,0.52252555,0.5235087,0.52491546,0.52595663,0.52671295,0.52712,0.5263148,0.5236526,0.5196895,0.51640445,0.51568514,0.5183904,0.523676,0.52965325,0.53391004,0.53501654,0.53300124,0.52906376,0.52437216,0.5195198,0.5154988,0.5139892,0.51722735,0.5263784,0.5409234,0.5581338,0.5730135,0.57993037,0.575227,0.5607939,0.5425789,0.52706265,0.5161111,0.50773084,0.49873912,0.48874545,0.48028913,0.4777455,0.4849323,0.5024455,0.5261957,0.54832727,0.5626331,0.568372,0.5705789,0.57452774,0.58125466,0.586824,0.5861776,0.57816535,0.5667384,0.558896,0.5582964,0.56297034,0.56585455,0.5618028,0.5511226,0.53953564,0.5319992,0.5280435,0.5224607,0.5103024,0.4926393,0.4758451,0.46752322,0.4703487,0.48074862,0.49107686,0.49389318,0.48646298,0.47236955,0.46098527,0.46008492,0.4696829,0.47954568,0.47802588,0.46213472,0.4419957,0.43373406,0.44559672,0.4714972,0.49397364,0.5007495,0.4917023,0.47904956,0.4734784,0.47858286,0.48917258,0.49784353,0.4992747,0.49361727,0.48582885,0.4826827,0.48765993,0.49878845,0.5094215,0.5132988,0.5083718,0.49812952,0.48877487,0.484761,0.4863832,0.4902636,0.49326682,0.49502644,0.49816528,0.50509036,0.51513475,0.524174,0.52705556,0.5218125,0.51070523,0.49931479,0.49153483,0.48828542,0.48730174,0.48695728,0.4870977,0.48882222,0.4925332,0.49666557,0.49797717,0.49224436,0.47803792,0.4585046,0.44207895,0.4357103,0.44005767,0.44656244,0.44497266,0.43083194,0.41114077,0.39863256,0.402114,0.41820088,0.43442702,0.43935263,0.43141857,0.41778696,0.40691742,0.40257385,0.40460673,0.411855,0.42339352,0.4367375,0.44749978,0.45118526,0.4457327,0.4325825,0.41563496,0.39967862,0.38898492,0.38573554,0.3896308,0.39718857,0.40436372,0.4076799,0.40643606,0.4013944,0.39446712,0.3871143,0.37969407,0.37137505,0.36146185,0.35150325,0.34516057,0.34581378,0.35308552,0.36199465,0.36608562,0.3620418,0.3521247,0.34089044,0.3315011,0.3242657,0.32082427,0.32412374,0.3357685,0.35084513,0.3612492,0.3612113,0.35189918,0.3388536,0.32860002,0.326534,0.33607218,0.35668898,0.38187453,0.40129197,0.40655744,0.39740542,0.38148198,0.3687375,0.36399618,0.3660904,0.37098098,0.37754533,0.38624057,0.3976774,0.40886292,0.4167793,0.41976902,0.41956088,0.41832402,0.4168373,0.4146308,0.41067073,0.40508223,0.39740172,0.38778913,0.3768647,0.36798427,0.36508143,0.37012354,0.38015938,0.38913965,0.3920635,0.38890183,0.38444254,0.3837358,0.38712576,0.38849667,0.38162503,0.3669579,0.35467294,0.35556972,0.37245545,0.39619532,0.41492963,0.4219472,0.41919088,0.4111679,0.4008273,0.38891014,0.37730253,0.36990342,0.37058392,0.38066968,0.3981228,0.41895732,0.43771866,0.44933465,0.44937882,0.43831262,0.4209565,0.40629327,0.39987728,0.4025179,0.411152,0.4246675,0.44343838,0.4657956,0.4860672,0.49750996,0.4964827,0.48272336,0.45819077,0.42675734,0.39497486,0.37069583,0.35896364,0.35903957,0.36458465,0.36754894,0.3627368,0.35064378,0.3375527,0.33159813,0.33799526,0.35577992,0.37941727,0.40266192,0.4215074,0.43362364,0.43863454,0.438285,0.43833566,0.44413853,0.45624557,0.46720996,0.46659556,0.44939712,0.41973773,0.38853315,0.3642219,0.34923843,0.33932006,0.32910487,0.31763104,0.31224713,0.32870486,0.37581173,0.44651428,0.51254624,0.55032486,0.5523835,0.53438234,0.5130215,0.49877253,0.49186215,0.4912258,0.49628016,0.5075527,0.5239287,0.54179215,0.5554075,0.56062317,0.5573558,0.5488875,0.5378929,0.5244658,0.50820416,0.49150157,0.47886565,0.4741526,0.47728705,0.48550367,0.49325082,0.49464503,0.4856536,0.4692869,0.45540524,0.454376,0.46872607,0.49086976,0.50928575,0.5151785,0.50575805,0.48349512,0.45558524,0.43290368,0.4257058,0.43793675,0.4636803,0.49105406,0.5091895,0.5140495,0.5076452,0.49475074,0.47914505,0.4641236,0.45194757,0.4449624,0.44348943,0.44738674,0.45535752,0.46520257,0.47219434,0.47023734,0.45662832,0.4345909,0.41221574,0.3960055,0.38876855,0.39106324,0.40394798,0.42835724,0.46162632,0.4976562,0.5283385,0.5476559,0.55233806,0.54232365,0.51973444,0.48781225,0.45104906,0.4147642,0.3861159,0.37120196,0.37210643,0.3838129,0.397135,0.40405142,0.40196857,0.39320448,0.38173163,0.37128618,0.36400378,0.3607819,0.35988137,0.35869405,0.35476303,0.3490708,0.34654942,0.35363272,0.3736451,0.40093803,0.42445293,0.43287072,0.42438707,0.40421307,0.38150164,0.3616526,0.34870693,0.34527728,0.35525325,0.3780816,0.4093106,0.44032273,0.46541318,0.48324907,0.49663505,0.509033,0.5219312,0.5357723,0.5492027,0.5606382,0.5675048,0.5690257,0.5667128,0.5640471,0.563315,0.5631485,0.5590212,0.54544497,0.52095455,0.4896579,0.46155035,0.44529498,0.44414046,0.45376554,0.4685413,0.48480847,0.50124735,0.51593715,0.5256775,0.52795696,0.52118534,0.5054706,0.4825015,0.45828748,0.44118372,0.4384561,0.45011985,0.46994543,0.48914263,0.5019241,0.5055689,0.49895397,0.48264322,0.4602091,0.4387724,0.42430714,0.4189248,0.42021656,0.42483792,0.42843977,0.42717397,0.4201852,0.41667822,0.42840993,0.45902547,0.49122453,0.50306594,0.48336184,0.44408643,0.4039657,0.37888145,0.37521943,0.39772484,0.4424211,0.4955201,0.5315319,0.5358859,0.5121191,0.48254046,0.46449092,0.46365806,0.47472715,0.49549207,0.5243415,0.5566936,0.57774895,0.5755922,0.54963607,0.51741374,0.50116843,0.5118517,0.5411005,0.5659649,0.57113713,0.5563449,0.53715056,0.5246408,0.5199109,0.5126977,0.49361885,0.45931253,0.416437,0.3770455,0.3541014,0.35411158,0.37566316,0.40992224,0.4461111,0.4756579,0.4949495,0.50430036,0.50588506,0.5020479,0.49523804,0.48794404,0.48248672,0.47967288,0.4785011,0.47662452,0.47250524,0.46648335,0.4606955,0.45750678,0.45843044,0.4634856,0.4710314,0.47850505,0.48404256,0.48848453,0.49482813,0.50626296,0.5231848,0.54360646,0.5644179,0.58367366,0.5994783,0.6088948,0.6079208,0.59484094,0.57279474,0.5485042,0.52774626,0.51236725,0.5008729,0.49149516,0.48313272,0.47543707,0.46750546,0.45863643,0.44850525,0.43789878,0.42792168,0.4194471,0.4125115,0.40689445,0.402384,0.39891723,0.3957611,0.39193794,0.38678733,0.38099113,0.3760251,0.37335896,0.37361744,0.37643933,0.3805931,0.38421986,0.3852477,0.38197336,0.37337658,0.35930482,0.3404144,0.31803238,0.29414716,0.2706365,0.24887376,0.22838204,0.20748238,0.18417375,0.15871094,0.13379446,0.11335466,0.09972957,0.09267679,0.09013488,0.089920364,0.09054062,0.09103334,0.090646304,0.0887858,0.08537061,0.08116182,0.077961415,0.078569144,0.08573379,0.101385064,0.12454603,0.15188909,0.17758249,0.19721746,0.20866422,0.21403171,0.21707197,0.22193955,0.23067003,0.2423501,0.253562,0.26052412,0.26246342,0.26182148,0.26224804,0.26420555,0.26464084,0.258804,0.245618,0.22847326,0.21435595,0.20775537,0.20909078,0.21390285,0.21720935,0.21515884,0.20795093,0.19935238,0.1954698,0.19985192,0.21047096,0.22030298,0.22288172,0.21728323,0.20844875,0.2026258,0.20233126,0.2061301,0.2115344,0.21884651,0.22942974,0.24374373,0.25809872,0.2683796,0.27207255,0.2707397,0.26589498,0.2574466,0.24402905,0.22762401,0.21410413,0.21036613,0.21846782,0.23461545,0.25098515,0.26044232,0.25861987,0.24498348,0.22179969,0.19334513,0.16413294,0.13781331,0.11567354,0.09773926,0.08414201,0.07708933,0.07864303,0.08794889,0.09924946,0.10555721,0.103013515,0.09342732,0.08145249,0.07111014,0.06382202,0.059511323,0.05773176,0.057927772,0.058851793,0.05882926,0.057185918,0.05539632,0.056993697,0.06458103,0.077773295,0.092356674,0.104017325,0.11039808,0.11211244,0.11002184,0.1056071,0.101606846,0.10369431,0.11568713,0.13598473,0.15503554,0.16332044,0.15756984,0.14471672,0.13530807,0.13666888,0.14908265,0.1681299,0.18924673,0.209868,0.22909616,0.2463408,0.2604197,0.27013966,0.27413818,0.27216974,0.2650675,0.2553036,0.2453415,0.23730324,0.23202825,0.23026468,0.23232557,0.23868097,0.24847811,0.25893506,0.26530194,0.2626818,0.24946766,0.22842,0.2072172,0.19390877,0.1940151,0.20617409,0.22444905,0.24072303,0.24932034,0.24853016,0.24127586,0.23352234,0.2292822,0.22762378,0.22346628,0.21481253,0.20565663,0.20309718,0.20972198,0.22207582,0.2344929,0.24473707,0.25383204,0.26282564,0.26978847,0.2709795,0.2638274,0.24940217,0.2321732,0.21792634,0.21038723,0.21048278,0.21612598,0.22518663,0.2348631,0.24356651,0.24982262,0.25415215,0.25708798,0.25871935,0.25838092,0.25631034,0.25440875,0.25378034,0.2532967,0.24986655,0.24273664,0.23453955,0.22903965,0.2269484,0.22560589,0.22318268,0.22098593,0.22277285,0.22964607,0.23925744,0.247045,0.25080174,0.25127658,0.2514774,0.25323883,0.25646198,0.25866964,0.25713235,0.24969645,0.23608255,0.21841265,0.20123883,0.1909061,0.19227971,0.20631957,0.22759408,0.24686392,0.25586447,0.25439724,0.25177297,0.26090923,0.28730237,0.32366693,0.35547113,0.3719544,0.37149417,0.3575187,0.3330939,0.30092564,0.2678227,0.24429047,0.23888929,0.25179842,0.27552757,0.30022892,0.3184586,0.32635972,0.3226184,0.30970278,0.29443428,0.2864684,0.291854,0.30836734,0.3267648,0.33841476,0.34152785,0.3416643,0.344993,0.35239318,0.35595393,0.34649646,0.3214384,0.2923064,0.27520308,0.28009593,0.30036986,0.32191658,0.33257273,0.3313237,0.32183215,0.30786425,0.28983012,0.27074042,0.2571588,0.25650233,0.26922104,0.2884945,0.3048862,0.3135991,0.31505144,0.31242236,0.30885103,0.3076367,0.31199625,0.32298103,0.33717808,0.3483248,0.35165235,0.347369,0.33774853,0.32364142,0.30376065,0.28008065,0.25993487,0.2519984,0.25862515,0.27308092,0.28450462,0.28482965,0.2730907,0.2537485,0.23306537,0.21455574,0.19812645,0.18132514,0.1631626,0.14511724,0.13103358,0.12481847,0.12994279,0.14708848,0.1729985,0.19933169,0.21696788,0.22004892,0.20915656,0.18861318,0.16385378,0.13910852,0.11786044,0.10228852,0.0929234,0.08804902,0.08507782,0.08188508,0.07815278,0.0748756,0.07370984,0.07601642,0.08284739,0.09421683,0.10852703,0.12210392,0.1316216,0.13676696,0.14204283,0.15312737,0.17234975,0.19486527,0.21238351,0.21893275,0.21649055,0.21217924,0.21227367,0.21700682,0.22268409,0.22640169,0.22910255,0.23413622,0.2452373,0.26381704,0.2879221,0.311352,0.32722938,0.3312579,0.3233759,0.3056213,0.28048202,0.25218508,0.2269262,0.21185035,0.21017528,0.22091913,0.23925161,0.2606304,0.28042588,0.29518127,0.30127642,0.29633987,0.27889553,0.25043824,0.21607302,0.1839753,0.16098051,0.14901073,0.14439619,0.14191805,0.13829906,0.13373214,0.12970358,0.1275202,0.12813847,0.13378495,0.14793296,0.17255925,0.20531453,0.23902941,0.26626152,0.28268936,0.28958327,0.29055247,0.29014885,0.29071215,0.29317716,0.2956351,0.29553774,0.29029799,0.2803968,0.26802766,0.2564113,0.24729376,0.24239254,0.24326265,0.25108954,0.26462147,0.28054807,0.29511234,0.30506682,0.30814663,0.3034613,0.29344034,0.28259274,0.27447832,0.26935062,0.2659502,0.26502833,0.26849076,0.2764974,0.2848135,0.288498,0.28546765,0.27808067,0.26937464,0.26105782,0.25358707,0.24850212,0.24763499,0.25089216,0.25512078,0.25646365,0.25400916,0.25056666,0.2504295,0.25578377,0.26564217,0.27740493,0.28894803,0.2994771,0.3083323,0.3150241,0.31981018,0.32456955,0.33127406,0.34005758,0.34942713,0.35783038,0.3655965,0.373147,0.38014224,0.3843471,0.3836424,0.37609926,0.36008224,0.33428228,0.30010775,0.26356792,0.2335539,0.21583307,0.20910038,0.2063001,0.2013068,0.19254047,0.18234013,0.17299853,0.16517092,0.15820116,0.15139963,0.1443904,0.13720906,0.1301531,0.123727,0.118347995,0.114260085,0.111414574,0.109617084,0.108590685,0.10826233,0.10882876,0.110852204,0.11511447,0.1224638,0.13332249,0.14681908,0.16047108,0.17159963,0.18087912,0.19413526,0.21883118,0.25647545,0.2986114,0.3316597,0.3451809,0.33703747,0.31223533,0.28196958,0.2599477,0.2572038,0.2739936,0.300585,0.323334,0.33336163,0.32732785,0.30681905,0.27681613,0.24720885,0.23067427,0.23971355,0.2806834,0.34980646,0.43002614,0.4971002,0.531152,0.5306488,0.5103975,0.49050763,0.48076037,0.48172605,0.49028227,0.5058937,0.52603763,0.54437846,0.55312204,0.5481802,0.52898484,0.49641788,0.45461217,0.41460195,0.3933446,0.4031284,0.4425831,0.4939702,0.5351631,0.5513188,0.54362804,0.5238499,0.50725126,0.5038504,0.51665336,0.5389819,0.560987,0.57358766,0.5774587,0.57252735,0.5573955,0.52472043,0.4805372,0.4406664,0.42531705,0.4367,0.46156403,0.4803481,0.48329422,0.47263932,0.4567004,0.44171074,0.42811128,0.41381004,0.3982861,0.38474345,0.37886152,0.38685802,0.4136323,0.45688954,0.5058682,0.5426705,0.5566137,0.54787225,0.52876955,0.5104361,0.50089973,0.5027469,0.51707196,0.5403568,0.56462574,0.5803678,0.58194476,0.56902784,0.54359645,0.510848,0.48013484,0.4652321,0.47311473,0.4970962,0.5182867,0.52181405,0.5086589,0.49366507,0.4906796,0.5019207,0.51973504,0.5373216,0.55246145,0.566777,0.579395,0.5892751,0.59244376,0.5850215,0.56058645,0.5200884,0.4722146,0.434238,0.4171804,0.42079687,0.43148342,0.43472353,0.42360106,0.40303838,0.38360798,0.373449,0.3733635,0.37779367,0.38035437,0.3809637,0.38754344,0.41221544,0.45755544,0.51364547,0.5597539,0.58362454,0.58405256,0.5716637,0.553752,0.5356987,0.5212214,0.5173889,0.5266998,0.5431494,0.553649,0.5493506,0.5310928,0.5061643,0.4815165,0.46175206,0.45255175,0.45869184,0.4776505,0.49811372,0.507696,0.50593185,0.5012713,0.50138664,0.5039039,0.5039379,0.50360143,0.510101,0.52615255,0.5426032,0.5484672,0.53707904,0.5114023,0.4758617,0.44061494,0.4175621,0.41944727,0.44563472,0.48241773,0.50897795,0.51237667,0.49217114,0.4579077,0.42066738,0.38839647,0.36383715,0.34684286,0.33509007,0.3289039,0.33131862,0.34995648,0.38691124,0.4379294,0.48890328,0.5295673,0.5540416,0.565491,0.56608105,0.5575424,0.5382809,0.5099183,0.47878495,0.45505846,0.4458406,0.4487696,0.4560466,0.46025065,0.46062768,0.45796514,0.45201385,0.44346312,0.43744385,0.4430172,0.46318603,0.49307382,0.5216177,0.5421886,0.5531726,0.55676126,0.5515561,0.53659856,0.51458424,0.4961026,0.49103415,0.5002803,0.51449585,0.52125233,0.5143851,0.49423257,0.4652901,0.43493965,0.4127094,0.40903592,0.42688394,0.45989755,0.49395093,0.5155916,0.51876235,0.50565946,0.48541066,0.4654653,0.44981822,0.43760085,0.43241605,0.43929788,0.46040955,0.4837648,0.49451184,0.48508564,0.4654949,0.4494188,0.44678685,0.45743012,0.4793057,0.50609785,0.53081256,0.5440938,0.5429764,0.52812284,0.50243896,0.46697652,0.42644706,0.3931977,0.3843789,0.4078602,0.45399705,0.49707007,0.5173432,0.51171356,0.49667063,0.48821017,0.49424735,0.51056546,0.5313847,0.55047,0.5652639,0.57409173,0.5771916,0.5721275,0.55402714,0.5215145,0.4817977,0.45031348,0.43826142,0.4457264,0.46161175,0.47190666,0.4686103,0.45095134,0.4263684,0.4032055,0.38947102,0.3871409,0.39457354,0.40773737,0.42472863,0.4471453,0.47430333,0.5013466,0.5169075,0.5162985,0.5027583,0.48856238,0.48107025,0.48298952,0.49236405,0.5093445,0.5307421,0.55081344,0.5606571,0.55587536,0.5350345,0.49966586,0.4536669,0.40704474,0.37538958,0.37346315,0.40344843,0.45245257,0.49611124,0.51805955,0.5155676,0.5007519,0.48434392,0.4731337,0.46969342,0.47788668,0.4970413,0.5202724,0.53564495,0.5359247,0.51941067,0.4889529,0.4492838,0.40967092,0.38382348,0.3849745,0.41557577,0.46409807,0.5073861,0.52937245,0.52879316,0.52053636,0.51552385,0.5125328,0.49989715,0.47040582,0.43053043,0.3981434,0.39483055,0.4286199,0.48802033,0.54170185,0.5635388,0.54713535,0.5113897,0.4797498,0.4667983,0.47405675,0.49809766,0.53287005,0.5689789,0.5934336,0.59729576,0.57806,0.53944725,0.4863758,0.4289929,0.38376832,0.3711709,0.39853618,0.45403942,0.50726086,0.5358347,0.53410226,0.5176352,0.5001412,0.49038717,0.4887407,0.4989225,0.52133566,0.5525535,0.5800982,0.5908818,0.57407624,0.5291653,0.46983698,0.42283317,0.41282544,0.44536018,0.4996375,0.5448905,0.55664295,0.5334006,0.488253,0.4426448,0.40990862,0.39550504,0.39516613,0.40137938,0.40599504,0.4064465,0.4105401,0.4308513,0.47504893,0.53365403,0.58741003,0.61868984,0.62461996,0.616301,0.6064953,0.6014099,0.59405893,0.5799167,0.5601373,0.5464204,0.54400295,0.5513878,0.5606169,0.5685118,0.5729013,0.5718381,0.5621924,0.5483002,0.5399212,0.54523855,0.5602557,0.5723641,0.5709863,0.55738884,0.54084355,0.52916485,0.5210201,0.51278704,0.50448775,0.50521874,0.52109337,0.55243,0.58829504,0.6199174,0.64103764,0.65364593,0.65985847,0.6641131,0.6693602,0.6783592,0.6891951,0.6973708,0.69712573,0.6876593,0.6718073,0.6555924,0.6430821,0.63551325,0.6306906,0.6248682,0.61512595,0.59963465,0.57680327,0.54763246,0.5169851,0.4944581,0.48561165,0.49099526,0.50695723,0.53330797,0.5691641,0.60970527,0.64311504,0.6579891,0.6469061,0.6089741,0.55008966,0.4858272,0.4388968,0.42927644,0.45851907,0.50851434,0.54986453,0.56658775,0.5607458,0.550004,0.54566246,0.5492641,0.5550093,0.5632615,0.57926565,0.60731465,0.6400244,0.66098577,0.65154946,0.6051715,0.5329425,0.46157658,0.41869605,0.4184959,0.4528958,0.4982426,0.5267852,0.5256861,0.4992579,0.46533307,0.435909,0.41364583,0.3941592,0.37882784,0.37643802,0.3985003,0.4502649,0.523158,0.5962905,0.64308023,0.64959615,0.6206789,0.57847244,0.5426715,0.52400964,0.5224437,0.5377178,0.5656426,0.59804624,0.61979556,0.62113196,0.6001318,0.5652062,0.52644956,0.49534345,0.48086932,0.4891485,0.5166473,0.5511925,0.5746086,0.5760269,0.55640125,0.52842945,0.5049342,0.49445632,0.5006442,0.5248392,0.5617142,0.59896594,0.62180597,0.6237523,0.60684824,0.5774719,0.542656,0.51313335,0.50223595,0.5177872,0.5527215,0.5897455,0.6105995,0.60839194,0.58425844,0.5446376,0.49561095,0.44500995,0.403803,0.38247934,0.38967243,0.4255691,0.48496255,0.5510102,0.6023337,0.6173645,0.59160924,0.539129,0.48644754,0.45447144,0.45153472,0.47441196,0.5153366,0.5608017,0.5947845,0.603556,0.58917123,0.56373733,0.5399706,0.51745707,0.49402618,0.47312406,0.46809307,0.4826436,0.5072443,0.52183366,0.5206819,0.5142817,0.5226671,0.55107,0.5886428,0.6179804,0.63293666,0.63678396,0.6352186,0.6285532,0.61711705,0.6005408,0.57822585,0.5473533,0.511708,0.4829949,0.47564042,0.49201068,0.51988125,0.5382338,0.5338908,0.5076141,0.47363687,0.4480194,0.4404304,0.4502671,0.4690876,0.48850727,0.50582045,0.5267211,0.5557536,0.59009457,0.617855,0.6303988,0.6275399,0.61752003,0.6069703,0.59623045,0.5790043,0.54745257,0.5019051,0.45386276,0.42221954,0.4172316,0.43355343,0.45451948,0.46799943,0.47196504,0.47153687,0.46922162,0.46803895,0.4719731,0.4870399,0.51175827,0.53710896,0.5524648,0.5550718,0.54971457,0.54031897,0.52278703,0.49265823,0.45520595,0.4291637,0.4287931,0.45121667,0.47676137,0.48984265,0.48854676,0.4821637,0.47678676,0.4763385,0.4845016,0.5072223,0.54233336,0.57798535,0.5989266,0.59954995,0.5859732,0.5697478,0.5575548,0.5494582,0.5421381,0.5348018,0.5318242,0.53877336,0.55778253,0.58311826,0.6067135,0.6215856,0.62502056,0.61689085,0.6021958,0.59159666,0.59514636,0.613913,0.6354826,0.64413637,0.62840563,0.5891314,0.5351021,0.4838986,0.45329437,0.4562144,0.48806262,0.5299596,0.5568201,0.5576027,0.539474,0.52174896,0.51757747,0.5282894,0.54747367,0.5711635,0.5973088,0.62379473,0.6448288,0.65829355,0.6634026,0.6606307,0.64331007,0.6073274,0.5563378,0.50915897,0.48409677,0.4866035,0.50063103,0.504725,0.4887525,0.461848,0.4402782,0.43292436,0.43726984,0.44502947,0.45098123,0.45641026,0.4697574,0.49963054,0.54425675,0.5870257,0.6050988,0.58879054,0.54840773,0.50795346,0.48647928,0.49092254,0.51585054,0.5497601,0.5788744,0.5917888,0.58712727,0.5725394,0.5602083,0.553329,0.5497702,0.54445535,0.54044986,0.5405381,0.5445125,0.54381984,0.53244025,0.51344544,0.4982275,0.49532127,0.50318843,0.51547116,0.52990395,0.5479426,0.56879765,0.5854382,0.5943847,0.59662277,0.5958505,0.58545834,0.557149,0.50948083,0.4604027,0.43328214,0.4404668,0.4703854,0.49885234,0.5094144,0.50470144,0.49890733,0.5013016,0.5104289,0.52044255,0.5307258,0.5467207,0.5736856,0.61015314,0.6445946,0.66147834,0.6483771,0.6082613,0.5558502,0.511946,0.48847297,0.48893285,0.5085843,0.5393447,0.56812483,0.582118,0.5762041,0.5566423,0.534162,0.51329404,0.49490824,0.48198828,0.48521432,0.50924486,0.54579526,0.5739626,0.5784355,0.5600412,0.5335801,0.5151709,0.5127344,0.52630603,0.5510028,0.5780594,0.5970573,0.59958154,0.5878037,0.56898063,0.55142134,0.5331932,0.51384646,0.49514464,0.48698676,0.49082685,0.49971533,0.49952033,0.4844538,0.4607936,0.44179416,0.43611738,0.4411401,0.4475255,0.44620338,0.43407032,0.41627672,0.40509978,0.41722023,0.45913517,0.52206826,0.5806436,0.61428356,0.61700255,0.6032229,0.5919235,0.5934274,0.600498,0.5960304,0.57025546,0.5304941,0.49779236,0.48760375,0.50165766,0.52733964,0.55092406,0.56272715,0.56044656,0.5485819,0.5352741,0.5296008,0.5350929,0.55093217,0.5722886,0.5936627,0.609246,0.612945,0.59925675,0.5661263,0.5208168,0.47966674,0.46143302,0.47234997,0.50415176,0.53847605,0.5627558,0.572447,0.5700057,0.55910665,0.5444569,0.5324993,0.5280681,0.5297881,0.5304708,0.5227069,0.50950545,0.50109416,0.5083923,0.52993256,0.5556316,0.5731876,0.5796203,0.57726926,0.569838,0.5540895,0.52884585,0.49740636,0.47057807,0.45349693,0.44378397,0.43443486,0.4241257,0.41798058,0.42137074,0.43445945,0.4519234,0.4678413,0.4781576,0.48096398,0.47565463,0.4629475,0.44648662,0.431669,0.42481002,0.4289041,0.44465438,0.4692359,0.49933615,0.5289257,0.5525356,0.5660205,0.5704281,0.56920457,0.56605554,0.56166166,0.554694,0.5429004,0.52487046,0.500751,0.47330442,0.44748977,0.42900574,0.42016017,0.4185144,0.4174051,0.4115909,0.3999165,0.38597068,0.37427914,0.36721876,0.36377856,0.3599216,0.35194597,0.33892158,0.32560495,0.3194256,0.3259206,0.34314337,0.36303106,0.37682438,0.38090524,0.37731087,0.37023652,0.36333272,0.35828495,0.35611916,0.35713682,0.36297822,0.37493327,0.39249516,0.40991902,0.41947618,0.41690144,0.40611005,0.39633727,0.39403442,0.39767683,0.3978001,0.38589537,0.36051777,0.33105963,0.3099638,0.30555952,0.31517598,0.32956865,0.33892968,0.34032354,0.3366431,0.332909,0.3298743,0.3232971,0.30728146,0.2826444,0.26010725,0.25761464,0.28561422,0.33862993,0.393115,0.42618504,0.42867613,0.41248536,0.3960115,0.3905412,0.39191607,0.38757768,0.37146914,0.352699,0.35322785,0.38424814,0.4343901,0.46871194,0.46208963,0.4134066,0.34964442,0.29632875,0.26615217,0.25396818,0.25070405,0.24907142,0.24728538,0.24678624,0.2491951,0.25409973,0.25798592,0.25756666,0.25127777,0.24097367,0.22924769,0.21874537,0.21083625,0.20658581,0.2063275,0.20919418,0.2124828,0.21216035,0.20562465,0.19406174,0.18286835,0.1775005,0.17957546,0.18634157,0.19434701,0.20095396,0.20304377,0.19548015,0.17620696,0.15105766,0.13403642,0.13644262,0.15820423,0.1858309,0.20366864,0.20377107,0.18994218,0.17075,0.15322582,0.14040603,0.13384,0.13501911,0.1453016,0.16577677,0.19600718,0.2318867,0.26346603,0.27965888,0.2755253,0.2567685,0.23428501,0.21610184,0.20331687,0.1929148,0.18207218,0.17002605,0.15747681,0.14533019,0.13407551,0.123717785,0.1141073,0.105650686,0.100360185,0.10268783,0.11823175,0.14976926,0.19313078,0.23749454,0.27126452,0.2885741,0.29111338,0.2845234,0.2741265,0.26322782,0.25365016,0.24654903,0.24252175,0.24166207,0.2434501,0.24684055,0.25049567,0.25328875,0.25455835,0.2538294,0.2507302,0.24521936,0.23810513,0.23046313,0.222652,0.21328022,0.19969934,0.18004733,0.1561271,0.13481148,0.12567529,0.1357838,0.16564696,0.20810795,0.25170752,0.28412747,0.29830828,0.294319,0.27943808,0.26177323,0.24672876,0.23546255,0.22770202,0.22300315,0.22199273,0.22611897,0.23782127,0.25715697,0.28036752,0.29893693,0.30568108,0.29807058,0.28108826,0.2625672,0.24908388,0.24191977,0.23828895,0.23458864,0.22942792,0.2231061,0.21654578,0.20999144,0.20452453,0.20081125,0.19983768,0.20190643,0.20820396,0.21879129,0.23145904,0.24111195,0.24451876,0.24368823,0.24724603,0.2619873,0.28759244,0.31244698,0.32468733,0.31820762,0.29859707,0.27381855,0.25107875,0.23305464,0.22246808,0.22026706,0.22545274,0.23429823,0.24424887,0.25486422,0.26579365,0.27379122,0.27390903,0.2642031,0.24836509,0.23383994,0.22630678,0.226611,0.23143174,0.2375983,0.24493591,0.2562851,0.27364478,0.29504085,0.31384528,0.32303682,0.31937882,0.30528617,0.2859325,0.2657263,0.24733855,0.23261476,0.22374368,0.2214119,0.2238618,0.22770287,0.23080768,0.2337336,0.23721169,0.24052261,0.24031019,0.23392457,0.21984558,0.20013003,0.18001206,0.16820003,0.17236795,0.19514473,0.23202789,0.27477124,0.3143554,0.3448069,0.3622723,0.3665323,0.35800424,0.33994046,0.3169502,0.29632762,0.28292716,0.27808586,0.27861908,0.2825416,0.28820804,0.2946762,0.29648748,0.28870407,0.26822147,0.23884718,0.20668982,0.17835508,0.15676944,0.14191659,0.13155077,0.1233775,0.11603067,0.10906029,0.10239324,0.09594154,0.09011244,0.0863865,0.08778388,0.097194225,0.11490106,0.13647081,0.15461494,0.16289027,0.15901852,0.14454648,0.1232572,0.099396735,0.07720431,0.059701387,0.048064966,0.041276693,0.03744999,0.034822088,0.032473724,0.030094104,0.027730709,0.025496656,0.023441419,0.02152084,0.01966041,0.01783271,0.016064128,0.014397346,0.012854639,0.011446415,0.010183602,0.00908726,0.008161549,0.0073746275,0.006658045,0.0059436155,0.0052029104,0.0044562183,0.003750912,0.0031259528,0.0025998622,0.002171937,0.0018342711,0.0015710868,0.0013617895,0.001183492,0.0010210975,0.00086893636,0.0007289378,0.0006039176,0.000495074,0.00040093018,0.00031929312,0.00024797756,0.00018590929,0.00013281706,9.006306E-05,6.0547085E-05,4.79324E-05]