[0.000104749415,8.9583344E-05,6.02956E-05,3.1470503E-05,1.2262556E-05,3.4481955E-06,6.4779346E-07,1.05337115E-07,1.2488965E-08,4.3381528E-13,4.9855483E-15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.093124E-17,4.1165056E-14,2.8401248E-09,4.8287067E-08,2.7734438E-07,1.0185455E-06,2.7343988E-06,5.8594214E-06,0.00016861867,0.0011448447,0.0044342126,0.011908759,0.024400517,0.04019216,0.055241436,0.06537577,0.068784334,0.06666659,0.061804373,0.05667804,0.05254357,0.049613524,0.047596704,0.046153177,0.045076024,0.044330806,0.043859124,0.043476325,0.042879745,0.041888937,0.040595606,0.039288383,0.03824095,0.03764838,0.03783032,0.039466128,0.043180242,0.04885733,0.054995883,0.059502285,0.0608547,0.059214626,0.055905733,0.05243506,0.04955697,0.0473299,0.04575315,0.045300156,0.047135558,0.05206683,0.05974556,0.06792528,0.07400647,0.0762194,0.07483479,0.07106029,0.0662991,0.06132892,0.05665071,0.052547053,0.049167812,0.046442393,0.04418757,0.04225767,0.040586073,0.039114296,0.037724078,0.03626344,0.034659598,0.032944437,0.03136239,0.030429216,0.031078905,0.034185354,0.03987798,0.04685998,0.052981954,0.05644807,0.0568905,0.0551938,0.052515104,0.04954381,0.04642256,0.04373409,0.043290094,0.048607603,0.062566005,0.08487054,0.10997715,0.13035738,0.14050199,0.14032067,0.13318299,0.12314858,0.11259299,0.10248494,0.09305245,0.084389396,0.0765951,0.06980043,0.064069904,0.059285495,0.055190366,0.05159015,0.04849756,0.04604016,0.044246793,0.043022033,0.042455047,0.043226823,0.046402324,0.052489206,0.060360476,0.067436956,0.07117135,0.070742145,0.06728024,0.062749356,0.05855675,0.05513361,0.05224659,0.04955405,0.04681169,0.04394215,0.040999953,0.03819747,0.035849646,0.03424179,0.03346816,0.033355057,0.033551782,0.033708602,0.033693697,0.03375449,0.034574326,0.037032004,0.04165439,0.048068404,0.05491206,0.060501248,0.06367647,0.06438514,0.06334428,0.06144972,0.059171677,0.05664323,0.05390333,0.05115309,0.04865251,0.04656064,0.044847522,0.043330614,0.041787867,0.04007317,0.038244355,0.036535025,0.03518386,0.034275215,0.03386203,0.034286305,0.03615679,0.03980543,0.044628337,0.04921885,0.052277137,0.05345267,0.053333163,0.052657653,0.051754147,0.05047403,0.04861778,0.046157587,0.043296054,0.040322438,0.037532996,0.03516453,0.033387598,0.032234926,0.031569783,0.03106042,0.030382706,0.02941941,0.028597035,0.028818235,0.031311017,0.03662792,0.044229288,0.05220018,0.058657747,0.06252766,0.06413168,0.06426144,0.06360979,0.06254641,0.06144832,0.06123041,0.06338533,0.06968134,0.0806963,0.09476054,0.108010314,0.116618074,0.11891756,0.116002925,0.11025118,0.10368016,0.09731633,0.091452934,0.08613745,0.08128001,0.07677943,0.0724956,0.06839863,0.064525746,0.060989365,0.05780707,0.054940328,0.052346397,0.050161045,0.048737284,0.048634972,0.050548088,0.054757703,0.06073004,0.066879414,0.07165146,0.07423105,0.075010404,0.074650295,0.07371947,0.07234374,0.070726395,0.06939262,0.069565505,0.07280034,0.07978762,0.0893086,0.09822479,0.10358324,0.10419392,0.10125754,0.09665396,0.0918143,0.087036125,0.08216772,0.07699484,0.07156444,0.066152,0.06114347,0.056839213,0.053202774,0.049942914,0.04672749,0.043486193,0.040348336,0.03748347,0.03495401,0.032886986,0.031710725,0.032181386,0.034980897,0.040041152,0.046348657,0.05227573,0.056602206,0.058874205,0.05947976,0.058850672,0.05736841,0.055184092,0.052698437,0.05028169,0.04831377,0.046775002,0.045584947,0.044496205,0.043329205,0.041842297,0.039905753,0.037585467,0.035050478,0.032814268,0.032062322,0.035242155,0.04490171,0.06163438,0.0820856,0.100397296,0.11154329,0.11443799,0.11138844,0.10567078,0.09925035,0.092673235,0.08592234,0.07921196,0.0730091,0.06774526,0.063535616,0.060148332,0.057245985,0.05464739,0.052466318,0.050864827,0.049813043,0.04897949,0.048089046,0.047332663,0.04760021,0.049906924,0.054496873,0.060095787,0.06448398,0.06578005,0.06368442,0.05940294,0.05467117,0.05068394,0.047743008,0.045594577,0.043918174,0.042561065,0.041465636,0.04048476,0.03941719,0.03810589,0.036606926,0.035096794,0.033780072,0.03276811,0.032131225,0.032055233,0.03294455,0.035405472,0.03969534,0.04527605,0.050613973,0.054134678,0.05510907,0.054142922,0.05235677,0.050583154,0.048949767,0.04754671,0.047178347,0.049826365,0.057444483,0.070294015,0.0855116,0.09861194,0.10593747,0.10690894,0.10327709,0.09743166,0.09086587,0.084231414,0.07782286,0.07194704,0.06687152,0.06273996,0.059548587,0.057236582,0.055696964,0.05477184,0.05419165,0.053659845,0.05295976,0.05207744,0.051281553,0.051172137,0.052571893,0.05586354,0.060380053,0.064284466,0.06582589,0.06447498,0.061329395,0.05793899,0.055248633,0.053187657,0.05154832,0.05111338,0.054362103,0.06429099,0.08183222,0.10359499,0.12292712,0.13378264,0.13434666,0.12714039,0.11631948,0.104985885,0.09450848,0.08515346,0.07691329,0.06973273,0.06361426,0.05848613,0.054223944,0.050605852,0.04743511,0.044586077,0.042027015,0.039763883,0.037797336,0.036205534,0.035295885,0.035775866,0.03833193,0.043010622,0.04858224,0.053196076,0.055383857,0.055054825,0.053027913,0.05025098,0.047121156,0.04373825,0.040273424,0.03709878,0.03453858,0.03262129,0.031110637,0.029701898,0.028248876,0.0268033,0.02553694,0.024601018,0.024057396,0.023896722,0.024175292,0.025209403,0.027697014,0.032382373,0.03940632,0.04771453,0.0554273,0.06082349,0.063314915,0.06336805,0.06183706,0.059312697,0.05613442,0.052612185,0.04913658,0.04602207,0.043439403,0.04147539,0.0402074,0.039613474,0.03947785,0.03944324,0.03925501,0.038874056,0.038450092,0.038150594,0.03818522,0.038809642,0.040206548,0.042191256,0.044096816,0.04513398,0.04488209,0.04357275,0.04183049,0.04026188,0.03911941,0.038262364,0.03735453,0.03620151,0.034982394,0.034151778,0.03402117,0.034438066,0.034843173,0.034713607,0.033920847,0.03272709,0.031484436,0.030498957,0.03021617,0.031536266,0.035396814,0.042051364,0.050292645,0.05815856,0.06391104,0.06710559,0.06818614,0.06791341,0.06674831,0.064987205,0.063314185,0.063168965,0.06688702,0.07601341,0.08997598,0.1049367,0.116299026,0.121076524,0.11995661,0.11557782,0.110600494,0.10616077,0.10246784,0.09949563,0.09738097,0.09606961,0.09522956,0.09421847,0.092531286,0.089862496,0.08633783,0.0821451,0.07755512,0.0727405,0.06817753,0.06450959,0.06253214,0.062528476,0.06438491,0.06742612,0.07107248,0.07458637,0.07749841,0.07930127,0.07994982,0.07955011,0.07848952,0.0771894,0.0776293,0.08512658,0.1091238,0.15717463,0.22670145,0.30036905,0.35567164,0.3790592,0.37444368,0.35615063,0.33732715,0.32327226,0.31361198,0.3068635,0.30236444,0.30022356,0.30045497,0.30296937,0.30707458,0.31144285,0.31444696,0.31507996,0.31367967,0.31137988,0.30929908,0.30784822,0.30745304,0.30931354,0.3151952,0.3259288,0.33971164,0.3525802,0.36039412,0.36152136,0.35712388,0.35004184,0.34201503,0.33190754,0.314607,0.2838554,0.23699218,0.17957227,0.12347602,0.08021825,0.05423141,0.042362947,0.038361713,0.03780764,0.040277123,0.04862241,0.06646348,0.09407607,0.12591909,0.15190436,0.1641327,0.16231878,0.1539221,0.14773655,0.14739256,0.15080583,0.1532792,0.15261637,0.1489067,0.1444325,0.14067845,0.13880086,0.13818742,0.13766067,0.1350366,0.12874405,0.117697455,0.10270926,0.08684788,0.076363094,0.078118734,0.09572235,0.12625152,0.16255455,0.19825156,0.23087732,0.2585621,0.27696562,0.2796584,0.2653629,0.23997466,0.21411692,0.19488794,0.18371886,0.17791392,0.1748559,0.17334904,0.17307083,0.17387752,0.17531009,0.17688262,0.17807208,0.17868926,0.17881946,0.17881851,0.17914934,0.180225,0.18220703,0.18447053,0.18584955,0.18498874,0.18164033,0.17657353,0.1713354,0.16691792,0.16327684,0.15952785,0.15494,0.15111975,0.15192969,0.16232365,0.18333507,0.21076815,0.2356081,0.2496564,0.24848746,0.23333792,0.20905717,0.18188946,0.15683258,0.13613716,0.119814664,0.10750928,0.100711666,0.10273228,0.115808286,0.13832869,0.16385113,0.1851911,0.19789164,0.20261955,0.20244159,0.20047605,0.19821389,0.19642197,0.19587092,0.19696449,0.19905382,0.19987379,0.19711685,0.18953066,0.17843735,0.16598321,0.1547861,0.14661177,0.1447946,0.15288873,0.17391007,0.20684685,0.24864964,0.2957807,0.3462025,0.39693478,0.4421661,0.47312722,0.4814701,0.4644101,0.42737898,0.38234606,0.3412564,0.31103137,0.29210085,0.28152645,0.2757444,0.2725196,0.27057445,0.2693579,0.26804164,0.266062,0.2631873,0.26065338,0.26002374,0.26269242,0.26794007,0.27392718,0.2781284,0.27955362,0.27839217,0.27621385,0.274424,0.27410424,0.2751058,0.27662563,0.27756622,0.27773485,0.27755368,0.2772317,0.27499312,0.2671069,0.24949974,0.22106092,0.18549924,0.1502053,0.1223948,0.10518723,0.09741863,0.096787214,0.10480531,0.12685546,0.16727518,0.22180144,0.27694896,0.31749055,0.3364019,0.3388174,0.3363506,0.33918825,0.3494873,0.36283946,0.3726255,0.37621006,0.37597218,0.37623322,0.37944853,0.3848261,0.3913388,0.39923653,0.41099325,0.42856708,0.45162246,0.4749405,0.48956203,0.48652437,0.46410546,0.4306673,0.40172353,0.3893285,0.39502096,0.40863326,0.41733706,0.4134585,0.39877018,0.38009927,0.3644335,0.35491517,0.35167181,0.35320473,0.35781017,0.3624417,0.36191675,0.3499976,0.32413316,0.28957954,0.25848255,0.24224691,0.24368715,0.25520495,0.26486823,0.2641495,0.25184193,0.23253973,0.21209711,0.19430546,0.17983283,0.167827,0.15715404,0.14698045,0.13738762,0.13020612,0.12917338,0.13658328,0.15033618,0.16344275,0.16942102,0.16666274,0.15927906,0.15242143,0.14838478,0.14583866,0.14229469,0.13663201,0.12993632,0.12401673,0.119957,0.11679342,0.11334578,0.108860604,0.104333036,0.10057902,0.09792576,0.09564725,0.093327455,0.09158692,0.091589786,0.09414536,0.098134674,0.101510875,0.101902485,0.098751165,0.09294175,0.086731724,0.081691064,0.07842731,0.07692512,0.078610785,0.0861895,0.10131276,0.12158525,0.14101024,0.15384078,0.15831403,0.1567006,0.15243287,0.14751232,0.14236748,0.13688172,0.13105772,0.12522769,0.12083856,0.12146163,0.13258363,0.15795948,0.19544844,0.23499101,0.26350978,0.27173355,0.25960883,0.23605168,0.21627128,0.21619326,0.2453425,0.29942074,0.36153603,0.410694,0.4351577,0.43581045,0.42300546,0.40665135,0.39238274,0.3806479,0.36994115,0.35811195,0.34267426,0.3208218,0.29077825,0.25395152,0.21548706,0.18173774,0.15685798,0.14077057,0.1305817,0.123009145,0.11664479,0.11301734,0.115940444,0.13098642,0.1622404,0.21095562,0.27155733,0.33405173,0.3861817,0.4209125,0.43727458,0.4400905,0.43488148,0.42623258,0.41623804,0.40506515,0.39089838,0.3716427,0.34641483,0.3167481,0.28538683,0.25507316,0.22748132,0.20402153,0.18569435,0.17396277,0.17096126,0.18101597,0.20845562,0.25396684,0.31099766,0.36785218,0.41344345,0.44192782,0.45345044,0.4518373,0.44265458,0.43179837,0.42373762,0.42049646,0.42110452,0.42332232,0.42488894,0.42465487,0.42272052,0.42001972,0.41798595,0.41746446,0.41807246,0.4178305,0.41411126,0.4051894,0.39153513,0.37532344,0.35901868,0.34302607,0.32597637,0.3058375,0.2829143,0.25991175,0.24070518,0.22746383,0.22073685,0.22146451,0.2332018,0.25928935,0.29730737,0.3356296,0.35879555,0.35684237,0.3317103,0.29467717,0.258973,0.23355563,0.22100453,0.22022521,0.22892226,0.24576251,0.26829228,0.29257873,0.31350645,0.32794106,0.335132,0.33517766,0.3267748,0.30760673,0.2773175,0.24008167,0.20413195,0.17777126,0.16465087,0.16239573,0.16497529,0.1672688,0.16683924,0.16316949,0.15513276,0.14134853,0.121836804,0.10004001,0.08211121,0.07576574,0.08871475,0.1253308,0.1820239,0.24487333,0.29618037,0.3243647,0.33016112,0.32220194,0.3092034,0.2956145,0.28272745,0.27130842,0.26173922,0.2534109,0.24431266,0.2321031,0.21560492,0.19543014,0.17428297,0.15561004,0.14242278,0.13558833,0.13338977,0.13265538,0.13055156,0.12649754,0.12173927,0.11809245,0.11624718,0.11524112,0.11352667,0.109958835,0.10497194,0.09972471,0.095289774,0.0917854,0.08901611,0.087577164,0.088800006,0.09370422,0.10119418,0.10840747,0.11221715,0.111476935,0.10717401,0.10156545,0.096561074,0.09325882,0.091252,0.089950524,0.09008327,0.09685651,0.1171666,0.15480608,0.20354724,0.25010955,0.28086674,0.29020795,0.2804022,0.25764385,0.22761475,0.19409145,0.1600517,0.12804306,0.10067677,0.07960548,0.06520634,0.056390177,0.05136225,0.048656452,0.047487948,0.04803888,0.051352438,0.060176343,0.07842174,0.109516464,0.15219407,0.19967504,0.24170673,0.27108362,0.2859979,0.28929698,0.2844812,0.27398217,0.25999075,0.24474813,0.2306099,0.2173546,0.20249464,0.18231589,0.15610945,0.12765914,0.10441923,0.09359071,0.09903991,0.11974245,0.15024702,0.18153785,0.20353884,0.20842922,0.19538206,0.1723169,0.15314774,0.14978456,0.16477542,0.19019036,0.21365516,0.22650062,0.22735131,0.22022331,0.21006079,0.19978917,0.18983972,0.17930676,0.16742237,0.15449788,0.14190784,0.13124806,0.12335875,0.11804182,0.11449853,0.11206812,0.110426076,0.10958725,0.10938302,0.109498024,0.1090889,0.107425414,0.103932224,0.098887764,0.0928253,0.086383425,0.0797128,0.07294788,0.06657931,0.061872423,0.06029978,0.062274545,0.06624487,0.06913689,0.06851032,0.064040296,0.057562277,0.051225882,0.046354104,0.043276493,0.04236571,0.045078855,0.054316174,0.07365667,0.104163945,0.1416889,0.17632432,0.19766067,0.20055924,0.18824553,0.16876991,0.14981638,0.13517392,0.12512508,0.118337065,0.11335441,0.10915234,0.105013244,0.100656934,0.097321786,0.099401645,0.114961006,0.15094535,0.20694108,0.2712114,0.32774293,0.36533913,0.3841218,0.3899666,0.3888669,0.38250336,0.3724202,0.36032185,0.34964895,0.34141254,0.3361131,0.3320868,0.3285655,0.32359922,0.31662217,0.30782723,0.29945984,0.29418603,0.29222658,0.29217175,0.28956446,0.2835934,0.27391538,0.26503825,0.2584904,0.25733146,0.26174724,0.27391008,0.29262567,0.31432953,0.33179057,0.3393502,0.33547735,0.32312882,0.3066015,0.2884905,0.2691557,0.24829666,0.22732854,0.20965809,0.19821958,0.19273524,0.1901424,0.18815131,0.18686247,0.18614738,0.18235664,0.17003693,0.14729236,0.11917808,0.09691229,0.09441144,0.124573566,0.19027488,0.27914965,0.36417603,0.42156652,0.44267234,0.43798432,0.42253485,0.40707922,0.3942825,0.38424242,0.37694624,0.3727453,0.37111863,0.37032902,0.36855474,0.36475798,0.35922658,0.35253394,0.34496605,0.33613122,0.32555887,0.3129708,0.2989045,0.2847,0.2719486,0.2610778,0.2506154,0.23809005,0.22163022,0.20166487,0.18064837,0.16241969,0.14975065,0.1428298,0.13854027,0.13328473,0.1266885,0.12358322,0.13060051,0.15036505,0.17774439,0.20295961,0.21782649,0.22079079,0.21552329,0.20696712,0.19790488,0.19084986,0.19031383,0.20221572,0.22786476,0.25996456,0.2858596,0.29593864,0.2894315,0.27217948,0.25129744,0.2314077,0.21512942,0.2040612,0.19891465,0.19821613,0.19844562,0.19524758,0.18640228,0.17267688,0.15726766,0.1430369,0.13136636,0.12210756,0.11478982,0.10916713,0.10584667,0.106622435,0.1143415,0.13087188,0.15455785,0.17931867,0.19721012,0.20298712,0.19682856,0.18348543,0.16866441,0.15622611,0.14763542,0.14297815,0.1421275,0.14515024,0.15250067,0.16449939,0.1808548,0.20002234,0.21965176,0.23700194,0.25024036,0.259086,0.26570618,0.2729269,0.282514,0.29254946,0.29952344,0.3000069,0.29416928,0.2844402,0.27436075,0.2662643,0.26051593,0.25684312,0.2537696,0.2509839,0.24717183,0.24284548,0.23800425,0.23456943,0.23288067,0.23339802,0.23470391,0.23686351,0.23943971,0.24348831,0.2489119,0.2579088,0.2722999,0.29364228,0.31759652,0.33631253,0.3418429,0.33325183,0.3160881,0.2978204,0.2817705,0.26624215,0.24833728,0.22771484,0.20773488,0.19136117,0.17900737,0.16732001,0.15381598,0.13763565,0.12054529,0.10357041,0.08765633,0.07356222,0.06324837,0.058909696,0.062093657,0.074339546,0.09798751,0.13701136,0.19206291,0.25715134,0.31826603,0.3619083,0.38199246,0.38325325,0.3751525,0.3657585,0.358511,0.35361692,0.3502493,0.34723184,0.3436012,0.3389686,0.33379337,0.3280772,0.3196569,0.30410215,0.2769223,0.23739032,0.19118755,0.15007012,0.1277632,0.13357423,0.16691226,0.21623357,0.2642605,0.29680702,0.30866563,0.30315328,0.28651333,0.26418123,0.23986922,0.21729,0.19975597,0.18903653,0.1834894,0.1787322,0.16987805,0.15489715,0.13557322,0.116148256,0.10022489,0.08921522,0.082482435,0.07894359,0.0781182,0.08007848,0.084289394,0.088864736,0.09109881,0.08931557,0.0839512,0.077182494,0.07118121,0.06698933,0.06449271,0.063136294,0.0626021,0.062789895,0.063788615,0.06525827,0.06661124,0.06691479,0.065857746,0.06368135,0.061322663,0.059596065,0.059042674,0.059855994,0.062617585,0.06916576,0.0827397,0.10567993,0.13628775,0.16718304,0.18906902,0.19611174,0.18977852,0.17661048,0.16405068,0.15714867,0.15880078,0.17079914,0.1940242,0.22728676,0.26681826,0.30716085,0.34238347,0.36619803,0.37160695,0.35362175,0.3136687,0.26298046,0.2180118,0.19323552,0.19335972,0.21342193,0.24148746,0.2646549,0.27390763,0.26708564,0.24978618,0.23037536,0.21608704,0.20788665,0.20266186,0.19512545,0.18226285,0.164026,0.14387895,0.12650852,0.11538789,0.11039153,0.108974546,0.109592296,0.11537293,0.1333,0.16909485,0.22134776,0.28021622,0.33235762,0.36803707,0.385466,0.39001682,0.38906947,0.3871579,0.38275447,0.37064025,0.34601113,0.30906442,0.26519656,0.22250114,0.1888483,0.16958232,0.16566147,0.17185931,0.17856054,0.17715292,0.16517884,0.14652495,0.1272402,0.11208126,0.1048689,0.11053872,0.13454245,0.17843728,0.23643,0.29677662,0.34890726,0.38704002,0.4110863,0.42165723,0.42135978,0.41354057,0.40397263,0.39603913,0.39049733,0.38487408,0.3768116,0.3646343,0.34815297,0.32783625,0.3048255,0.28043583,0.25609276,0.23335856,0.21354991,0.19769521,0.18574613,0.1770547,0.16997355,0.16266213,0.15318571,0.14066005,0.12542678,0.10892295,0.09309566,0.08007666,0.07233471,0.071945556,0.07961167,0.09343498,0.109711014,0.12480519,0.13726993,0.14756398,0.15610684,0.16130514,0.16015844,0.15082848,0.13513753,0.11836988,0.10649801,0.10229313,0.10459837,0.11097863,0.12296673,0.14506745,0.1797831,0.22057813,0.25559142,0.27487215,0.27788886,0.2704365,0.26037607,0.25351194,0.25479147,0.2667348,0.28858986,0.31401607,0.33497703,0.3446591,0.3420043,0.33005264,0.3146405,0.30055162,0.2899659,0.28155613,0.2718593,0.2601311,0.2501364,0.24990046,0.26286682,0.2856629,0.30812585,0.32278422,0.32655302,0.32137033,0.3089831,0.2913729,0.26982635,0.24681272,0.22433317,0.20512055,0.19052331,0.18177994,0.1775371,0.17651862,0.17615336,0.17541389,0.17275874,0.16749626,0.1589294,0.14743693,0.13471508,0.12273287,0.11361211,0.10805721,0.10635546,0.10780508,0.11147948,0.11592024,0.119916014,0.12337211,0.12781663,0.13603304,0.15041234,0.17161126,0.19803385,0.22659643,0.2534121,0.27365032,0.282092,0.27493808,0.25306794,0.22257905,0.19243948,0.17055468,0.1622044,0.17052315,0.19591439,0.23438169,0.2764583,0.3110443,0.33021617,0.33251557,0.32023004,0.29583794,0.26023266,0.21571548,0.16818541,0.12608236,0.095693894,0.078481354,0.07170964,0.07161195,0.07596385,0.085543744,0.103438385,0.13195904,0.16907597,0.20832764,0.24289297,0.2697157,0.28957054,0.30358103,0.31141996,0.3118844,0.30579212,0.29566213,0.28528222,0.2771022,0.2727023,0.27162334,0.27220654,0.27107647,0.2650442,0.25186583,0.23074873,0.2017799,0.16652274,0.129472,0.09844807,0.082331024,0.08716156,0.1113745,0.14489435,0.17198515,0.18162133,0.17451751,0.163803,0.16362514,0.17932653,0.20445478,0.22785395,0.24084353,0.2407238,0.22953908,0.21206729,0.19346905,0.1774689,0.16519623,0.15535845,0.14571375,0.13416423,0.120201804,0.10475417,0.09017828,0.07837016,0.07023523,0.06509043,0.062071446,0.060629968,0.06135114,0.064902775,0.07139585,0.079143174,0.08597795,0.09017503,0.091914356,0.09185631,0.090634905,0.08800399,0.08392766,0.078593545,0.07270402,0.06693874,0.061770815,0.05717345,0.05264217,0.047754493,0.04249561,0.037442777,0.03322413,0.030308409,0.02904146,0.030158227,0.035464894,0.047261357,0.066915624,0.091972314,0.11643002,0.13312016,0.13894822,0.13596724,0.12939633,0.12298588,0.11751328,0.11196212,0.10556059,0.09847727,0.09114847,0.08404138,0.07756924,0.07280127,0.07234285,0.08105015,0.10376785,0.1404001,0.18318991,0.22049792,0.24537623,0.25894618,0.2674919,0.27643245,0.28948358,0.30884448,0.33397272,0.35964492,0.37805355,0.38504162,0.38167703,0.37115708,0.35206917,0.31988546,0.2723835,0.21730848,0.17007965,0.14551507,0.1477843,0.1687241,0.1941592,0.21251196,0.21969008,0.21776344,0.21097226,0.20283604,0.19695427,0.19997238,0.22128737,0.26738694,0.3344488,0.4069843,0.466084,0.50006795,0.50927144,0.5008394,0.48122737,0.45373225,0.42141128,0.38874063,0.35971972,0.33446887,0.31193683,0.29086074,0.2722557,0.25464052,0.23587972,0.21294518,0.18645622,0.16021873,0.14117104,0.13643306,0.15037908,0.18255407,0.22769652,0.27824977,0.32649323,0.36595383,0.3915542,0.40082762,0.3951912,0.37980366,0.36046675,0.34009942,0.3180538,0.293537,0.2693024,0.25245726,0.25001517,0.26409677,0.2894915,0.31701043,0.33822176,0.3491696,0.35111716,0.34875894,0.34759024,0.34923556,0.35079446,0.34654903,0.33459386,0.31814635,0.3036591,0.29494193,0.29142058,0.28939292,0.28472483,0.27556852,0.26343617,0.25405613,0.25332043,0.2629096,0.27687642,0.28549516,0.2817118,0.26569864,0.24383067,0.2234238,0.20945622,0.20353387,0.20625205,0.21690978,0.23304777,0.24929966,0.26073542,0.26567945,0.26697287,0.26815948,0.27027652,0.27170777,0.271018,0.26944637,0.26928428,0.2720442,0.27668032,0.28159943,0.28534472,0.28737092,0.286366,0.2809737,0.27039656,0.25718877,0.24617541,0.2434047,0.25173292,0.2707975,0.29764572,0.33199438,0.3780279,0.44347593,0.5315395,0.63307595,0.7238547,0.77385646,0.7655344,0.7060444,0.6254807,0.555278,0.5135898,0.49818364,0.49809924,0.49994883,0.4965638,0.4894671,0.48665118,0.49625215,0.5186448,0.5530083,0.5965097,0.6424417,0.66924757,0.65470934,0.5957696,0.52054375,0.4656991,0.4470197,0.45101213,0.45271978,0.43985543,0.4145402,0.38773093,0.36645675,0.35552862,0.3540609,0.35954836,0.36646917,0.3703752,0.36750665,0.3561466,0.3370514,0.31440496,0.29469573,0.2838526,0.28618014,0.3039662,0.33769107,0.38311675,0.4313072,0.47139916,0.49635527,0.50498325,0.5002901,0.48590577,0.4641622,0.43499628,0.3979113,0.35375857,0.30843142,0.27092966,0.25012317,0.24861236,0.26220492,0.2822189,0.3008411,0.31327686,0.31822363,0.31618628,0.3090186,0.29989767,0.29444835,0.3011768,0.3264849,0.36823162,0.411082,0.4361832,0.4332082,0.4089105,0.37913528,0.3575971,0.34863818,0.34971738,0.35773668,0.37163723,0.3921658,0.41795447,0.4449334,0.46652564,0.476806,0.4722416,0.45261517,0.4199715,0.3771735,0.32832515,0.28096613,0.24736501,0.2406073,0.26709345,0.32023266,0.38114443,0.42559496,0.43520066,0.40643227,0.35241625,0.2951341,0.25301388,0.23351075,0.23364311,0.24588597,0.26269,0.27769598,0.28544724,0.28160778,0.26506376,0.23925066,0.21119468,0.18800195,0.17372304,0.16907649,0.1724961,0.18155193,0.19258559,0.20197606,0.20700727,0.20792185,0.20662326,0.20536469,0.20450985,0.2031346,0.20017062,0.19571875,0.19109412,0.18784702,0.18695806,0.18815577,0.19029939,0.192087,0.1928677,0.19267671,0.19194366,0.19072449,0.18927968,0.18749541,0.18624313,0.18571925,0.1874321,0.19186027,0.20034905,0.21075313,0.22002567,0.22276188,0.21776475,0.20621715,0.19319595,0.18125992,0.1716569,0.16253583,0.15341622,0.14424014,0.13681921,0.13189602,0.12949777,0.12810087,0.12682788,0.12561624,0.12574506,0.12817757,0.13318373,0.14010721,0.14888664,0.16171516,0.18364115,0.22039597,0.27412182,0.3394816,0.40475512,0.45643723,0.48636183,0.49536875,0.49199817,0.48722446,0.48597816,0.48532197,0.4764389,0.4543511,0.4215652,0.38779175,0.36313358,0.3536854,0.35840937,0.37003264,0.37729266,0.37146452,0.3504039,0.32032904,0.29081222,0.2702987,0.26204446,0.2645636,0.27317777,0.28314397,0.29061115,0.2936078,0.29174164,0.2875671,0.28526327,0.2883643,0.29674724,0.30678403,0.31431246,0.31692827,0.31454372,0.30725607,0.29485902,0.27782306,0.25892124,0.24307539,0.23422189,0.23384003,0.24000315,0.2508717,0.26562795,0.2855914,0.3111256,0.33973166,0.3657298,0.3823167,0.3860259,0.37761548,0.3629186,0.348353,0.3399175,0.33991122,0.3479749,0.35979423,0.36983025,0.37332115,0.3695573,0.3611374,0.3514526,0.34245315,0.33430877,0.32749322,0.32228526,0.31902814,0.31577846,0.31044504,0.30092916,0.2880752,0.27378368,0.2612321,0.25231865,0.24876338,0.25058535,0.2565695,0.26312724,0.2662088,0.26331243,0.25508186,0.24477321,0.23543501,0.22824843,0.22196722,0.21526031,0.20868091,0.20569168,0.21134244,0.22960396,0.26019087,0.29699326,0.32968032,0.34909078,0.35190347,0.34188923,0.32569882,0.30861726,0.29242888,0.27760383,0.26523474,0.25760996,0.25595316,0.26009536,0.2685294,0.28024343,0.29277042,0.30222154,0.30366898,0.2954062,0.28066865,0.26648834,0.2604058,0.2673327,0.2899677,0.3282713,0.37990582,0.4371489,0.48895466,0.52441835,0.5399727,0.53988785,0.5322446,0.5231133,0.5139016,0.50402206,0.4924455,0.47975913,0.4666995,0.4544034,0.44407138,0.43740642,0.43595707,0.439795,0.44772246,0.4577659,0.46855888,0.47759822,0.4812641,0.4751958,0.4591953,0.43781188,0.41869888,0.40554032,0.3970646,0.38880202,0.37923098,0.36919406,0.36026633,0.3516643,0.34301257,0.33571926,0.33307064,0.33638105,0.34350383,0.34977087,0.35129508,0.34719777,0.33961156,0.33207378,0.32721952,0.32632586,0.32943824,0.33631968,0.3456533,0.3561599,0.36706337,0.37896284,0.391112,0.40194872,0.41133276,0.4231502,0.44062304,0.460523,0.47320393,0.471208,0.455901,0.43564284,0.4172255,0.4014069,0.38456443,0.3649886,0.3443472,0.32699773,0.31573486,0.3118621,0.3140678,0.32013893,0.3269997,0.33351508,0.34149233,0.35529336,0.37871614,0.41200185,0.45015123,0.48498258,0.5088427,0.5192396,0.5180458,0.5094561,0.4977845,0.488543,0.48687354,0.49293736,0.49994397,0.4994866,0.4899602,0.47785524,0.47017312,0.46661982,0.45942327,0.44078577,0.40951106,0.3724792,0.33930346,0.31760707,0.30938146,0.31374654,0.32637706,0.34173027,0.3514862,0.35043037,0.3380984,0.32054004,0.3044844,0.29431584,0.29007325,0.28982857,0.29152575,0.29545033,0.3034937,0.31739363,0.334286,0.34728894,0.34838167,0.33495602,0.3108541,0.2839907,0.2608005,0.24386261,0.23265938,0.22558166,0.2210292,0.21736908,0.21359141,0.20969455,0.20646608,0.20421742,0.20291273,0.20239776,0.20349972,0.20648597,0.21180631,0.21856344,0.22687827,0.23572846,0.24497919,0.25271282,0.25788578,0.258846,0.2562716,0.2512264,0.24613453,0.24231714,0.24174275,0.24567424,0.25569066,0.270659,0.2879152,0.30258647,0.31127736,0.3117416,0.30522826,0.29383993,0.28099594,0.2679421,0.25604042,0.2453476,0.23745538,0.23222768,0.2299807,0.2295338,0.23158908,0.23603047,0.24302311,0.25020275,0.25587177,0.25947878,0.2649744,0.27696112,0.29907754,0.32937172,0.36392787,0.39730588,0.42701602,0.45112023,0.46926847,0.47975072,0.4811621,0.47229525,0.45398417,0.4277636,0.39500007,0.3567002,0.3156314,0.27741233,0.24880488,0.23393758,0.2318175,0.23750907,0.24510185,0.2503896,0.25063968,0.24422891,0.23149121,0.21740949,0.21139367,0.22115219,0.24475388,0.2693975,0.28067073,0.27428505,0.25861546,0.24705637,0.24738818,0.2586182,0.27384892,0.28620198,0.29169306,0.28967223,0.28066912,0.26484972,0.24179716,0.21217708,0.17899244,0.14732268,0.122679025,0.10938412,0.11003825,0.12561242,0.15496226,0.19418965,0.23651059,0.2747244,0.3039518,0.3232459,0.33427906,0.33913055,0.3393383,0.33627152,0.33175734,0.32763126,0.32438207,0.3206976,0.3132771,0.29834282,0.27360967,0.24058521,0.20540553,0.17580496,0.15764606,0.1529793,0.16122442,0.18263336,0.21530831,0.2564914,0.2968218,0.32857704,0.3436596,0.34270218,0.32967532,0.3141975,0.30331528,0.30059662,0.30363104,0.30815887,0.31072485,0.31042248,0.30739972,0.3014411,0.29132992,0.27594498,0.2553037,0.23096591,0.20512813,0.1799211,0.15701503,0.13802005,0.12402016,0.11503377,0.10951316,0.10530732,0.100848176,0.09585615,0.090864055,0.08652703,0.08316437,0.08073976,0.07891189,0.07731559,0.0756991,0.07410602,0.0726276,0.07137225,0.070254594,0.06908215,0.06765212,0.065951444,0.06426681,0.06288705,0.061899435,0.061146215,0.060480546,0.0601133,0.060529668,0.06240654,0.06592468,0.070494704,0.07471184,0.07724366,0.07758974,0.07630243,0.07429913,0.072237454,0.07021604,0.06816387,0.066009276,0.06382527,0.06163552,0.059407305,0.057118546,0.054813046,0.052695792,0.050967295,0.049763214,0.04897726,0.048426677,0.04805705,0.048951406,0.054860193,0.07313418,0.111629605,0.171471,0.24188177,0.30343315,0.34027553,0.3490224,0.33876824,0.32155105,0.305401,0.29216465,0.2800883,0.26582006,0.24577667,0.21880394,0.1881047,0.16138482,0.14559384,0.14274414,0.14862776,0.15728116,0.16445519,0.16871303,0.16932203,0.16578533,0.15912658,0.15476547,0.16100515,0.18421489,0.22199602,0.2636949,0.29591858,0.3103559,0.3051044,0.28267092,0.24671799,0.20192897,0.15425701,0.11099475,0.079217605,0.06393533,0.066801876,0.08591799,0.11687273,0.15315785,0.18665947,0.20925742,0.2169366,0.21443878,0.21328662,0.22501218,0.25179562,0.2875624,0.32275775,0.3519627,0.37268934,0.3835235,0.38073328,0.3598807,0.31875315,0.2615097,0.1991979,0.14505292,0.1076997,0.087516956,0.07920159,0.07652763,0.075558364,0.07472598,0.07378716,0.07311654,0.074678026,0.08299924,0.10547792,0.14620705,0.20137472,0.25640187,0.29682803,0.31587753,0.31984088,0.3190807,0.32184324,0.32955784,0.33985093,0.34917775,0.35486293,0.3555039,0.35049844,0.3399063,0.32383695,0.30257413,0.2764671,0.24667348,0.21507306,0.18404901,0.1554377,0.1308316,0.112059,0.101432316,0.09984385,0.10515085,0.11242249,0.11689044,0.11633741,0.11148933,0.10434493,0.09694771,0.09076521,0.08681381,0.085325874,0.08585453,0.08742257,0.08928535,0.09110863,0.09294343,0.09475175,0.096274965,0.097124696,0.09701497,0.09596499,0.094270945,0.09235823,0.090524435,0.08883355,0.08730409,0.08609346,0.08554696,0.08585914,0.086901926,0.0883412,0.090005785,0.09203089,0.09451559,0.09719708,0.09932404,0.10013676,0.09920045,0.0966391,0.092845224,0.08837574,0.08396769,0.08094715,0.081252635,0.08700866,0.0992153,0.11702669,0.1378558,0.15935914,0.18097939,0.2037652,0.22862446,0.25457513,0.28057733,0.30584046,0.33006933,0.3492565,0.35734996,0.3486074,0.3233571,0.28620133,0.24429923,0.20331796,0.16857155,0.14405899,0.13287205,0.13524967,0.14873789,0.16855063,0.1894936,0.2077377,0.22118819,0.22891223,0.23053241,0.2282816,0.22827351,0.23868811,0.2634555,0.29791865,0.33188173,0.35705057,0.3734846,0.38564482,0.39681533,0.40261647,0.3963481,0.37402728,0.34057298,0.30496547,0.2751774,0.2528761,0.23572497,0.22090389,0.2083904,0.1995743,0.19565137,0.19739471,0.20742132,0.22917747,0.26210442,0.29916015,0.32963237,0.34742308,0.35253632,0.35048684,0.34736943,0.35071564,0.36798313,0.40435243,0.4579524,0.5175851,0.5675304,0.59413165,0.5924737,0.56588024,0.5229686,0.47417417,0.42828813,0.3917077,0.36620685,0.35168302,0.34610462,0.3474232,0.3515543,0.35308525,0.34681967,0.33186877,0.31372145,0.3011006,0.29922563,0.30406043,0.3059139,0.29797545,0.28405926,0.27476707,0.2780229,0.29164723,0.30630752,0.3137907,0.31179333,0.30232692,0.28764626,0.2702556,0.2554434,0.2511864,0.26350737,0.29043707,0.32263598,0.34922007,0.36524788,0.37239513,0.3745778,0.37374702,0.3698523,0.3642904,0.36015347,0.3600594,0.36238936,0.36194777,0.35370222,0.3369577,0.31499997,0.29113874,0.26582855,0.23859088,0.21200694,0.19225614,0.18499564,0.19051977,0.20342004,0.21605577,0.22375749,0.22782739,0.23555587,0.25621304,0.29370317,0.34245816,0.3884914,0.4192605,0.42954683,0.42386183,0.41010582,0.39631262,0.3874296,0.3848724,0.38590708,0.38539013,0.38073516,0.3736234,0.36899877,0.3686364,0.37041786,0.36956647,0.36468458,0.35794175,0.35380253,0.35432076,0.35829893,0.3621627,0.36305633,0.36029232,0.3550447,0.34888697,0.34231612,0.33439323,0.32315865,0.30748048,0.28841758,0.2692163,0.2531833,0.24177313,0.23422164,0.2290046,0.22489642,0.22162075,0.21895152,0.21664672,0.21355762,0.20847364,0.20059566,0.19127701,0.1847012,0.18714072,0.20393224,0.2350517,0.27373973,0.30949783,0.3349162,0.3491192,0.35638356,0.3608354,0.3642142,0.36625314,0.3672595,0.36816177,0.36965704,0.3707409,0.36865327,0.359898,0.34192094,0.31458035,0.28097057,0.24625647,0.21630293,0.19509695,0.18450285,0.18415356,0.1940061,0.21453488,0.24634027,0.28606424,0.3268741,0.35996628,0.38093922,0.38963768,0.38994208,0.3851502,0.37811115,0.37061408,0.36455742,0.36194482,0.36374176,0.3692653,0.37467757,0.3757172,0.36915478,0.35575962,0.33809003,0.31997743,0.3045074,0.29446363,0.29046574,0.28969395,0.28740558,0.2802582,0.27053627,0.26322544,0.26291624,0.26830903,0.2747667,0.27609897,0.27030465,0.25882897,0.24693465,0.2391087,0.23872109,0.24527472,0.2558553,0.264821,0.26746324,0.26202416,0.25164908,0.24249189,0.24106605,0.2512696,0.27297285,0.3016725,0.33048192,0.35333005,0.36803982,0.37584317,0.37856457,0.37600204,0.36671534,0.35081986,0.3312486,0.31222335,0.296272,0.28365588,0.27368426,0.26661143,0.26387107,0.26753452,0.2796301,0.3005241,0.326803,0.3503035,0.36147717,0.35477602,0.33220848,0.30134222,0.27081785,0.24655078,0.23109895,0.22379704,0.22148407,0.21948664,0.21418847,0.20499152,0.19444263,0.18579262,0.18089253,0.17945288,0.18051332,0.18305193,0.18652338,0.19004293,0.19312073,0.19529586,0.19640262,0.19552857,0.19190426,0.18566509,0.1791699,0.17594177,0.17890458,0.188091,0.20054655,0.21191746,0.21891207,0.2206028,0.21787553,0.21276516,0.20727855,0.2035029,0.20205283,0.20246743,0.20271492,0.20164485,0.19899766,0.19624132,0.19451208,0.19458164,0.19613136,0.1986789,0.201402,0.2032402,0.20309256,0.20021488,0.19517078,0.18938804,0.18515116,0.1838255,0.18592918,0.19019182,0.19549054,0.20072408,0.20600264,0.21081357,0.21460526,0.21670586,0.21794058,0.21993227,0.22360687,0.22823842,0.2316223,0.23255922,0.23057757,0.22675492,0.22121044,0.21496797,0.20871718,0.20440386,0.20267563,0.20325108,0.20501137,0.20730609,0.21075074,0.2151432,0.21964245,0.22140266,0.21896356,0.21236587,0.20467408,0.19862133,0.19568568,0.19440518,0.19325633,0.190993,0.18887372,0.18775125,0.18895178,0.19152868,0.19503206,0.1982038,0.20116173,0.20335858,0.20453225,0.20367433,0.20038259,0.19440065,0.18640693,0.17729282,0.16842347,0.1605957,0.15423904,0.14928655,0.14586191,0.14392374,0.1429828,0.14195989,0.14012082,0.13781662,0.13646263,0.13741921,0.14106816,0.14685833,0.1540351,0.1621924,0.17101793,0.18002932,0.18890995,0.19787548,0.20750093,0.21758749,0.22699511,0.23419507,0.23837638,0.239374,0.23721917,0.23196928,0.224176,0.21509148,0.20618512,0.1984237,0.1921823,0.18755871,0.18469457,0.18371218,0.18469425,0.1879611,0.19371752,0.20131391,0.208075,0.21027566,0.20506306,0.19325294,0.18062572,0.17769434,0.19664192,0.24349765,0.312093,0.3835602,0.4383647,0.46661782,0.47239724,0.46573663,0.45581087,0.44783136,0.44457066,0.44741073,0.45545796,0.46613285,0.47564983,0.48161373,0.482846,0.47996655,0.47402874,0.46716818,0.46211883,0.46133742,0.4645262,0.467335,0.4634273,0.44916442,0.4269509,0.40414,0.38758233,0.37948856,0.37645984,0.37346068,0.3662598,0.35299337,0.3320308,0.30316624,0.26833007,0.23382758,0.20713843,0.19339871,0.19223219,0.1992196,0.20942535,0.2197613,0.2299192,0.24049442,0.25189558,0.2627703,0.27051428,0.27323672,0.27195397,0.2725511,0.28114018,0.30009475,0.3227879,0.34014985,0.34560224,0.34090462,0.33006325,0.3155048,0.294938,0.2664857,0.23198472,0.1988009,0.17562066,0.1690575,0.1801732,0.2056217,0.23766023,0.26745224,0.28658724,0.29118773,0.2816372,0.2627677,0.24286503,0.23549767,0.25684997,0.31646875,0.40379634,0.4871819,0.53044647,0.5189232,0.46806607,0.4095893,0.36665437,0.34339237,0.33174062,0.32412103,0.3189571,0.3172954,0.3189199,0.32085207,0.31995058,0.31497812,0.3077653,0.301765,0.29982328,0.30263352,0.3087376,0.31531823,0.31890854,0.31639728,0.3071479,0.293871,0.28146246,0.27331626,0.26963854,0.26796624,0.26577255,0.26124337,0.25352708,0.24235111,0.22929116,0.21747689,0.21044724,0.2096953,0.214152,0.22130524,0.22882509,0.23565544,0.24174929,0.24777906,0.2542573,0.2613578,0.26871213,0.2756958,0.28128958,0.28446254,0.284577,0.28192493,0.2773218,0.2717191,0.26651227,0.26381156,0.26576903,0.27257702,0.2816658,0.28874347,0.2899461,0.28358638,0.2705553,0.25417942,0.23910175,0.23005944,0.23056255,0.24132867,0.25934157,0.27771178,0.28904155,0.28946912,0.2820293,0.2749123,0.27641913,0.2892234,0.3083837,0.3251107,0.33256495,0.33019626,0.32217214,0.31386694,0.30837414,0.30639672,0.30704144,0.3088466,0.31034246,0.31037712,0.30857027,0.30509025,0.30052972,0.29556096,0.2907009,0.2861881,0.28177837,0.27735338,0.2729514,0.26888743,0.26496074,0.26056728,0.2551363,0.24881808,0.24245924,0.23695104,0.23274086,0.22937356,0.2257822,0.2204029,0.21196365,0.19919144,0.18138076,0.15837337,0.13215654,0.10617087,0.084421694,0.06876673,0.05909532,0.053867657,0.052332178,0.05530348,0.06629933,0.09103203,0.13432537,0.19600403,0.26716033,0.33434382,0.3851436,0.41672203,0.4338646,0.44551012,0.456463,0.46730077,0.47536,0.4788517,0.47665992,0.46789142,0.4504329,0.42199004,0.3818122,0.33332294,0.28424463,0.24372025,0.21728836,0.20474057,0.20261472,0.21118069,0.23642021,0.28678107,0.35919917,0.43540874,0.48602176,0.49388412,0.46314,0.4178908,0.38027468,0.3602616,0.35383376,0.35351515,0.3539119,0.35344377,0.3524898,0.3514987,0.35084346,0.35012582,0.3493416,0.34821782,0.34645,0.34221375,0.3321558,0.31326398,0.28608266,0.25763845,0.23902126,0.23948097,0.2597535,0.29066756,0.31940627,0.3363886,0.3404077,0.3351622,0.32605246,0.3164084,0.30822268,0.30212831,0.29745388,0.29245326,0.28568175,0.27706048,0.267598,0.25760162,0.24731486,0.23718773,0.22902413,0.22418225,0.22275789,0.22354794,0.22433646,0.22366351,0.22012907,0.21457033,0.20782356,0.20192307,0.1969356,0.1927286,0.18749481,0.18034501,0.1707365,0.16003229,0.15029126,0.14378248,0.1414001,0.14220355,0.14395724,0.14431685,0.14226693,0.13830304,0.1339057,0.1306042,0.12970477,0.13283849,0.14138925,0.15484641,0.16906242,0.17775936,0.17676114,0.16700427,0.15360004,0.14142005,0.13243468,0.1257564,0.12016814,0.115275145,0.11146498,0.1087027,0.106578566,0.10481268,0.10408294,0.105148904,0.10807904,0.111832045,0.115944445,0.12117517,0.12928419,0.14115733,0.15724844,0.17834687,0.20564371,0.23761554,0.2690892,0.2944148,0.31310907,0.32990304,0.34953785,0.37097573,0.38857862,0.396914,0.3950164,0.38572812,0.3730211,0.3599256,0.34814563,0.3386697,0.33142674,0.3243144,0.31266686,0.2904388,0.25465563,0.20897342,0.16547526,0.13910584,0.1403973,0.16899778,0.21484013,0.26416096,0.30524555,0.33095613,0.3372288,0.3230076,0.29002777,0.24407601,0.19361806,0.14822005,0.11528388,0.09821829,0.095502496,0.10181107,0.11056868,0.116151415,0.116426386,0.1119406,0.10545779,0.10083193,0.10557502,0.13192539,0.19171013,0.28607777,0.3979764,0.49811122,0.5601453,0.5737934,0.54811996,0.5029611,0.4594235,0.4297392,0.41603455,0.41223884,0.41101322,0.40755805,0.40065143,0.3913171,0.38069037,0.36992106,0.35945836,0.3502324,0.3429776,0.33856395,0.33677486,0.33622932,0.33448663,0.32933843,0.31988785,0.30724892,0.29454532,0.28701577,0.28975287,0.30431283,0.32496747,0.341475,0.34551835,0.3368655,0.321888,0.30718043,0.29489025,0.28247473,0.2671667,0.24820001,0.22809501,0.21012004,0.1964472,0.18672913,0.17884807,0.17143434,0.16518974,0.16393709,0.17217983,0.1931001,0.2254206,0.26392427,0.30086738,0.32911375,0.34354225,0.34221172,0.32643366,0.3001264,0.26810202,0.23455137,0.20297007,0.17686613,0.15991372,0.15486191,0.16179287,0.17791559,0.19834168,0.21840636,0.23443942,0.24416904,0.24627115,0.24067937,0.22991018,0.21929519,0.21627946,0.2261033,0.248457,0.27681777,0.3030704,0.32250568,0.33468333,0.3402249,0.33876464,0.3304421,0.31907895,0.31040278,0.30873382,0.31379732,0.3231474,0.3343278,0.345481,0.3544909,0.35939193,0.36073318,0.36071754,0.36084512,0.35958502,0.35458055,0.34567547,0.33535615,0.32618657,0.31828946,0.30923474,0.29560587,0.27507097,0.24844247,0.21991444,0.19502105,0.17703323,0.16538985,0.15717395,0.14977825,0.14246358,0.13570876,0.13049783,0.12720269,0.1254424,0.1236518,0.11994206,0.11340105,0.1058239,0.102988094,0.11422902,0.14882164,0.2096635,0.28747568,0.36333862,0.4175785,0.44176376,0.44039676,0.42565536,0.40731514,0.38878727,0.36775526,0.34032157,0.30562398,0.26803046,0.23636575,0.21808457,0.21420585,0.21815197,0.22123872,0.21935117,0.21515618,0.21406716,0.2189458,0.23037207,0.2521782,0.29335073,0.36089253,0.44787574,0.5321388,0.5882297,0.60415715,0.58717304,0.5558753,0.5281441,0.5126299,0.50930685,0.51276946,0.5176077,0.5198109,0.5160899,0.5018035,0.47156274,0.4236056,0.36340174,0.30353677,0.25710317,0.23188941,0.22738911,0.2379423,0.255693,0.2738894,0.28806004,0.29728946,0.3034607,0.30935916,0.3171279,0.32740736,0.34004387,0.3538541,0.36786172,0.3810284,0.39291897,0.40200293,0.40645728,0.40407503,0.3945347,0.37869015,0.35910776,0.33841014,0.31918392,0.30275318,0.2892134,0.27839765,0.2704451,0.2665772,0.26669967,0.2693083,0.2707933,0.26843402,0.26125088,0.25051454,0.23870307,0.22814606,0.22097021,0.21740158,0.21662576,0.21616696,0.2146269,0.21150641,0.20819505,0.2058356,0.20533931,0.20642239,0.2087896,0.21201944,0.21650118,0.2229171,0.23190422,0.24260585,0.2524951,0.25839135,0.25861767,0.25395223,0.24687569,0.23973472,0.2336927,0.22874542,0.22448657,0.22070117,0.21751411,0.21516311,0.21363159,0.21283375,0.213248,0.21678007,0.22639354,0.2443914,0.2702014,0.30013004,0.32921124,0.35376406,0.37190226,0.38321972,0.3885173,0.39044738,0.3926007,0.39665008,0.40088323,0.40118027,0.39586845,0.38643065,0.3766683,0.36627734,0.35169825,0.3273503,0.29445195,0.26017395,0.2364307,0.22986127,0.23956794,0.2558998,0.26755142,0.26753366,0.2587242,0.25295904,0.2631947,0.29338744,0.3319327,0.35873663,0.3584319,0.33293447,0.29863724,0.274345,0.26837972,0.2765365,0.2893188,0.30003038,0.30766454,0.31360748,0.3179914,0.31875244,0.31358525,0.30214348,0.28639695,0.27001396,0.25696808,0.25069436,0.25253823,0.26145592,0.2737763,0.28617796,0.29760352,0.31345674,0.34212515,0.39126405,0.45652246,0.52297974,0.5691516,0.5825708,0.5635981,0.52580297,0.48551393,0.45520803,0.43803588,0.43015662,0.42517737,0.41997385,0.41529074,0.4142636,0.41890046,0.42874935,0.44033656,0.4488795,0.45061824,0.4446793,0.4332355,0.4200693,0.40911162,0.4021288,0.3974885,0.38957497,0.37206566,0.3418851,0.30258766,0.262595,0.23089932,0.21251003,0.20734037,0.21114753,0.21782209,0.2216804,0.21987136,0.21272421,0.20262867,0.1923805,0.18532693,0.18543015,0.19518262,0.21244963,0.22929414,0.23690109,0.23191352,0.21997601,0.21064568,0.20976454,0.21519792,0.22082885,0.22246943,0.2205367,0.21769057,0.21714775,0.22147818,0.23213488,0.24666762,0.25970384,0.2657381,0.26372123,0.25648102,0.24846803,0.24222435,0.23720348,0.22968297,0.21540146,0.19330859,0.16786486,0.1466204,0.13568653,0.13617857,0.14522737,0.15790729,0.16983105,0.17740257,0.17891484,0.17477494,0.16772582,0.16128695,0.15762395,0.15663351,0.15642059,0.15515415,0.15189584,0.14689147,0.14095701,0.13487074,0.12901308,0.1231313,0.117035925,0.11088999,0.105918996,0.10450398,0.11037261,0.12779675,0.159271,0.20429768,0.25888708,0.31728587,0.37122855,0.4106793,0.42612258,0.41451725,0.38199565,0.34135756,0.30405927,0.2751236,0.25221923,0.23209858,0.21418564,0.2019809,0.19749002,0.19889957,0.20064162,0.19758368,0.18722434,0.16987129,0.14827117,0.1283636,0.11981215,0.13438517,0.17892122,0.24992424,0.3299594,0.397572,0.43649665,0.44674447,0.43898985,0.42773616,0.41940346,0.41195145,0.39706656,0.36874178,0.3269682,0.2791874,0.23444545,0.19954509,0.17548567,0.16032934,0.15072308,0.14467041,0.14107211,0.14053498,0.14619291,0.16517949,0.20702071,0.2770776,0.36817107,0.4595497,0.52694756,0.5586137,0.5602534,0.5469694,0.5279175,0.5026362,0.4668684,0.4220145,0.3751111,0.33376023,0.3012773,0.27711424,0.25930065,0.24563746,0.23417859,0.2234955,0.21307194,0.20230591,0.18963991,0.17376149,0.15561207,0.13971634,0.13284236,0.14275514,0.17618938,0.23399901,0.30598632,0.370265,0.4053307,0.402927,0.3740096,0.33793446,0.31026968,0.29583445,0.2926401,0.29651955,0.30358145,0.30987537,0.31162807,0.3063703,0.29313615,0.27249682,0.24616009,0.21760572,0.19129948,0.17127277,0.1591373,0.15379506,0.15250248,0.15260744,0.15281284,0.15337507,0.15515506,0.15824683,0.16114546,0.16186179,0.15933259,0.15484428,0.15051298,0.14814796,0.14744264,0.14759178,0.14779264,0.14873149,0.15099312,0.15481007,0.15883775,0.16157687,0.16184151,0.16012597,0.15717669,0.15320696,0.14691325,0.13750575,0.12601729,0.11546743,0.1085977,0.10623729,0.10733613,0.11017105,0.113437355,0.116368234,0.11863935,0.12005847,0.120535456,0.11998082,0.11842569,0.11608524,0.11367187,0.11210132,0.11225913,0.114014335,0.11660969,0.118898004,0.12093163,0.12371057,0.12934083,0.13984407,0.15747006,0.18337853,0.21578634,0.2483942,0.2722651,0.2816169,0.27604336,0.26006863,0.23734963,0.211349,0.18443577,0.16051252,0.141268,0.12685753,0.11546598,0.106268786,0.09940851,0.09644663,0.100637704,0.11693233,0.14974271,0.19794977,0.25387278,0.3050829,0.3429149,0.36313948,0.36989966,0.36977825,0.37302044,0.38237584,0.3921102,0.3889176,0.36782482,0.33779788,0.31499958,0.3061861,0.30401435,0.29620206,0.27798644,0.25374708,0.2318592,0.21921079,0.22134505,0.24090213,0.27673832,0.3217515,0.36963952,0.4178722,0.46981367,0.5212533,0.55856067,0.561649,0.5253634,0.46276248,0.39934933,0.35402218,0.33407924,0.33751586,0.357612,0.38312826,0.39916277,0.39569175,0.37487626,0.3508376,0.33856073,0.3451991,0.36731276,0.395352,0.4167076,0.42136014,0.40539408,0.37374392,0.33556083,0.29939353,0.27083597,0.25384796,0.25160384,0.2643167,0.2880374,0.31522134,0.337924,0.34982052,0.3472784,0.3296909,0.30016384,0.2645232,0.2294753,0.19961675,0.17747563,0.16328745,0.15640861,0.15458898,0.1550694,0.15569328,0.1572483,0.16478848,0.18550386,0.22389536,0.2758359,0.32881618,0.36775813,0.38349888,0.37604868,0.3523512,0.32180968,0.2934446,0.27431333,0.2670783,0.26808253,0.26915506,0.26363406,0.25168136,0.23903269,0.23187004,0.23257996,0.24018236,0.25068077,0.25742128,0.2536526,0.23784013,0.21635573,0.19827312,0.1885892,0.18568157,0.18580621,0.18691522,0.18868603,0.19032691,0.18971337,0.18516956,0.17651278,0.16533794,0.15401095,0.14489995,0.13953827,0.13827468,0.14046557,0.1451454,0.15103407,0.15672742,0.16123784,0.16513044,0.17077582,0.18070722,0.1958,0.21477981,0.23579335,0.2585028,0.28446633,0.31693113,0.35817876,0.40642068,0.4522623,0.4810436,0.4807078,0.4507632,0.4035448,0.35610762,0.31922188,0.29171574,0.2648278,0.23130447,0.19292277,0.15884113,0.13871618,0.1347899,0.14131401,0.14911895,0.1540132,0.16078906,0.18073893,0.2214749,0.27707055,0.3289862,0.35716256,0.35567513,0.33344755,0.30682865,0.28588843,0.27341864,0.26721957,0.2653289,0.26602468,0.26760688,0.26878655,0.26916063,0.26926348,0.26926103,0.26842988,0.26520342,0.2585468,0.24913281,0.2400462,0.23684168,0.2481374,0.28415325,0.35007134,0.434955,0.51007026,0.54312706,0.5224846,0.46519044,0.40449795,0.36598077,0.35682285,0.36773348,0.38472632,0.39596736,0.3977724,0.3907803,0.37912896,0.36423126,0.34821296,0.33136985,0.31510174,0.29846075,0.28079435,0.26181373,0.24384223,0.23092532,0.22767897,0.2369409,0.25729957,0.2824206,0.30381194,0.3169393,0.3244972,0.33388123,0.3493391,0.3676043,0.38028166,0.38077307,0.36861154,0.34806082,0.32467183,0.30276588,0.28623858,0.27869654,0.28192443,0.29233944,0.30037084,0.2957513,0.27515298,0.24571949,0.21927653,0.20371574,0.19830693,0.19687223,0.19386111,0.18761528,0.17970173,0.17209734,0.16582203,0.16089475,0.1570429,0.1539877,0.15180372,0.15100397,0.15255173,0.15658973,0.16205086,0.1666231,0.16857104,0.16740625,0.16393198,0.15891975,0.15287794,0.14751677,0.14754887,0.16015793,0.18892807,0.22851892,0.26453295,0.2839646,0.28370678,0.27196923,0.25892133,0.25001633,0.24503827,0.24211104,0.23985422,0.23692858,0.23251392,0.22653677,0.22045346,0.2151931,0.2111073,0.20788912,0.20618124,0.2073946,0.21372281,0.22801341,0.25278723,0.28804308,0.32918513,0.3681496,0.3982372,0.41703227,0.42658052,0.42755064,0.41837713,0.396629,0.3654965,0.3332324,0.30858767,0.29501745,0.28963423,0.28766575,0.28496578,0.280831,0.27623057,0.2736554,0.2743151,0.2774503,0.28086016,0.2825481,0.28238526,0.28131112,0.28289565,0.29324865,0.31991416,0.3629181,0.41134432,0.44635645,0.4577125,0.4491818,0.436276,0.43024048,0.4336401,0.44043514,0.44375566,0.43893173,0.42500576,0.40512586,0.38442907,0.3675411,0.3542182,0.34044337,0.32156405,0.2974035,0.27161288,0.2499975,0.23838599,0.24488789,0.2775704,0.33799815,0.41368398,0.48166856,0.5228036,0.5325971,0.52074015,0.49752045,0.46843323,0.43377975,0.39793357,0.3672973,0.3483062,0.34025165,0.33919883,0.34076086,0.34536615,0.35529745,0.37227407,0.39365414,0.41361144,0.4256865,0.4267232,0.4183388,0.40538442,0.39299574,0.3842478,0.37956968,0.37699834,0.3726904,0.36348376,0.34880647,0.3322959,0.3185984,0.31087354,0.3090745,0.31174436,0.3176194,0.32536352,0.3329722,0.33769393,0.33767673,0.33302823,0.3253863,0.31705955,0.31001338,0.30615377,0.3075246,0.3158408,0.3308339,0.34955248,0.36816373,0.38503492,0.4005718,0.41445887,0.42339197,0.4237928,0.4152895,0.40181467,0.3875557,0.37410107,0.3597465,0.34326002,0.32588908,0.31139195,0.3024818,0.29863107,0.29684782,0.29497465,0.293756,0.29588974,0.30456483,0.32278517,0.35370156,0.3976836,0.4492415,0.4971873,0.5313025,0.5497954,0.5581994,0.56420356,0.5691841,0.57082576,0.56406766,0.5493605,0.530994,0.517019,0.51080155,0.5108345,0.51427144,0.5222223,0.53830886,0.5606024,0.58064216,0.58656424,0.57312864,0.54270864,0.50486225,0.46908823,0.44230434,0.42710936,0.4242808,0.43414947,0.4549755,0.48024073,0.49743056,0.4932876,0.46251392,0.41297963,0.36284736,0.32871756,0.31728104,0.3229554,0.33552969,0.34596547,0.35033152,0.34703907,0.33738676,0.3253303,0.32024407,0.32996228,0.35532406,0.38625833,0.41334203,0.43634275,0.46496788,0.5040465,0.5455583,0.57401687,0.5831637,0.5810972,0.5805432,0.58312625,0.5778427,0.5522961,0.50665885,0.45426175,0.41172886,0.386719,0.37574217,0.37018797,0.36454144,0.35856465,0.35404512,0.35085383,0.34710562,0.34302,0.3453547,0.36394885,0.4055892,0.4626439,0.5186892,0.55413485,0.56366295,0.55114436,0.52898973,0.50540817,0.4874799,0.47783008,0.47706982,0.48312965,0.49354115,0.50681585,0.52092475,0.5331636,0.5405249,0.54108983,0.5341514,0.51927483,0.49815872,0.47412774,0.45221522,0.43473873,0.42193255,0.41241372,0.40569544,0.40145144,0.39911863,0.39901328,0.4017512,0.40711245,0.41167212,0.41092455,0.40231326,0.3871858,0.36970997,0.35406125,0.3431559,0.3373859,0.33559218,0.33507192,0.33380893,0.3309264,0.32748368,0.32457504,0.32233498,0.31998527,0.31679273,0.31314465,0.30934063,0.30584309,0.3023013,0.2988795,0.29516336,0.29104695,0.2857131,0.2794054,0.27264407,0.26713908,0.26350442,0.26222715,0.26299426,0.26643434,0.27211446,0.278592,0.28269625,0.28236285,0.27708438,0.26864585,0.2595499,0.25344497,0.2544733,0.26616547,0.2876345,0.31179202,0.32750103,0.32697442,0.31025895,0.2846913,0.25833905,0.23674785,0.22191052,0.21420138,0.21191208,0.21184434,0.21089864,0.2080056,0.20486541,0.2031479,0.203755,0.20533027,0.2074638,0.21013905,0.21489917,0.22177316,0.22963327,0.23645161,0.24174435,0.24871321,0.26171222,0.2838836,0.3097506,0.3297534,0.33332244,0.32166603,0.3034564,0.29172072,0.29096636,0.29908907,0.30919215,0.31720778,0.3220591,0.32502368,0.32645372,0.32487145,0.31770834,0.30390373,0.28535435,0.26603445,0.24995935,0.23966898,0.23668452,0.24154119,0.25455156,0.27441508,0.29858974,0.3222977,0.3417801,0.35492972,0.3628293,0.36581412,0.36346683,0.35513163,0.34384587,0.33482018,0.33150658,0.33195624,0.33051315,0.3231251,0.30998886,0.29510084,0.28231275,0.27359474,0.26840934,0.26605788,0.26780918,0.27932322,0.30845693,0.36167967,0.4358622,0.51702297,0.58178395,0.61047983,0.59607315,0.55007833,0.4930767,0.44352147,0.40788326,0.38322243,0.36375535,0.34745848,0.33623505,0.332425,0.3354272,0.34150925,0.34675956,0.34939054,0.34937775,0.3466208,0.34052452,0.33120844,0.3205303,0.31135467,0.30578977,0.30435416,0.30557534,0.3076608,0.30857643,0.3071955,0.30226985,0.29374012,0.28279564,0.27269793,0.26674017,0.2667202,0.27155325,0.2780652,0.28288373,0.28401163,0.28208652,0.27907875,0.2773879,0.27807125,0.28119013,0.28582248,0.29077724,0.29558823,0.30091208,0.30902135,0.32031408,0.33293402,0.34133467,0.34179676,0.33352494,0.32092527,0.30951658,0.30354145,0.30337456,0.30606046,0.30718896,0.30330634,0.2935208,0.2801486,0.2661841,0.25404358,0.24336748,0.23449595,0.22841984,0.22952473,0.24121575,0.26605192,0.30086482,0.3394804,0.37300888,0.39618012,0.4078597,0.41105554,0.40888277,0.4038321,0.39797673,0.3940111,0.39334893,0.39496234,0.395337,0.3920921,0.38625112,0.38166013,0.38152814,0.38498744,0.3886849,0.38885722,0.38499784,0.37822127,0.37083384,0.3639163,0.3577328,0.35151276,0.34395072,0.33450857,0.32319307,0.31137857,0.29879284,0.28495178,0.2686979,0.2522696,0.2386844,0.23096918,0.22869784,0.23013233,0.23289199,0.23515618,0.2349806,0.23101859,0.2233212,0.21373399,0.20501699,0.2002957,0.20223872,0.21214263,0.22931461,0.25253406,0.28215966,0.31904253,0.3592966,0.39217973,0.4045577,0.39190027,0.36115423,0.3265833,0.29843667,0.27973223,0.26739416,0.25820717,0.25094977,0.24669479,0.24693741,0.2516929,0.2585318,0.26358128,0.26432297,0.26187873,0.25932467,0.25882104,0.2590401,0.25860038,0.25857654,0.26351884,0.27612942,0.29346132,0.3076295,0.3118213,0.30593494,0.29514205,0.28516802,0.277495,0.2708293,0.26358473,0.2561548,0.2501803,0.24710427,0.24730569,0.24947935,0.25209284,0.25355875,0.25364062,0.2523396,0.250406,0.24812786,0.24611442,0.24461412,0.24435061,0.2453752,0.2472192,0.24781537,0.24497305,0.23751473,0.2270452,0.21707283,0.2106294,0.20827512,0.2078877,0.20698677,0.20423676,0.20028426,0.19627489,0.19301647,0.19004202,0.1865471,0.18181883,0.17594898,0.16945583,0.16303581,0.1575201,0.15350841,0.15150474,0.15117562,0.15191062,0.15255712,0.15231608,0.15060703,0.14767237,0.14432444,0.14162089,0.14021774,0.1397533,0.13942404,0.138314,0.13642184,0.13418125,0.1324232,0.13154565,0.13151838,0.1317079,0.13133125,0.12982005,0.12732057,0.12440798,0.12213244,0.12133043,0.12300221,0.1270022,0.13203521,0.13502437,0.13341726,0.1264797,0.11621046,0.10547336,0.096508004,0.09004738,0.08598592,0.08377152,0.08276034,0.08220145,0.0814476,0.080176435,0.078313105,0.0762433,0.074367516,0.07312709,0.07238063,0.071859054,0.07124373,0.070925154,0.07169369,0.0748683,0.08134699,0.0914852,0.10386795,0.1158087,0.123722136,0.12574817,0.12253497,0.11706879,0.11183836,0.10745752,0.10282048,0.09703693,0.09032432,0.08376945,0.07835213,0.07458725,0.07240326,0.071378596,0.07073029,0.06975129,0.0679336,0.06524543,0.06182224,0.058039773,0.054420758,0.051997688,0.0519599,0.05521207,0.061129693,0.06763313,0.07184734,0.07245659,0.07031495,0.06813542,0.068057515,0.07065079,0.07459084,0.07783086,0.07839497,0.075290896,0.069041856,0.061445516,0.05463091,0.049724605,0.04674147,0.044986844,0.043944582,0.043418508,0.043793414,0.045927256,0.050836872,0.058644798,0.06803364,0.07652765,0.08197978,0.08360968,0.08227483,0.07943952,0.076128215,0.07259497,0.0689378,0.0656929,0.06334371,0.061478302,0.058696125,0.053859834,0.047141135,0.040073913,0.034277257,0.030623784,0.028789116,0.028088005,0.027876878,0.028141193,0.028796248,0.02969271,0.030278668,0.030495325,0.030392855,0.03018219,0.029459199,0.027861455,0.025293395,0.022332473,0.01969488,0.017854841,0.0168207,0.016270924,0.015834454,0.015232318,0.0143711455,0.013247828,0.011941697,0.010564894,0.009301898,0.00836542,0.00795353]