[0.0018092798,0.004378388,0.011533414,0.023677299,0.0390559,0.053635437,0.06348457,0.06726158,0.06689193,0.06556252,0.06542423,0.06643096,0.06723154,0.06695608,0.06644735,0.0680835,0.07351446,0.081975855,0.08986205,0.09354655,0.091580845,0.085665576,0.07860916,0.07254515,0.06803095,0.065076634,0.06428646,0.06749744,0.07600898,0.08866238,0.10063229,0.106635265,0.10428668,0.0962285,0.087156616,0.08052719,0.076466344,0.07325893,0.069610395,0.06619787,0.06547883,0.06936238,0.07739279,0.085754804,0.090215914,0.08844318,0.081792004,0.07311336,0.065057576,0.05870648,0.05424917,0.051732257,0.051684212,0.05515775,0.062654525,0.0730469,0.08332948,0.09043115,0.09321702,0.09289869,0.091709964,0.09109721,0.09140176,0.092060484,0.09272901,0.09363383,0.09591978,0.10022844,0.105783336,0.10990641,0.110271566,0.10644001,0.100527085,0.09500718,0.09117948,0.088452406,0.08576275,0.082990415,0.08171842,0.08430165,0.09152209,0.10113311,0.10832109,0.109274186,0.103551455,0.0944205,0.08567319,0.079389416,0.0751955,0.072145104,0.07009182,0.07036109,0.07383417,0.07978014,0.08493454,0.08660445,0.084583454,0.08284215,0.08583658,0.095346816,0.10783097,0.11751037,0.12042845,0.11752045,0.11290088,0.110123456,0.10969327,0.10939103,0.10689785,0.10141898,0.09413534,0.08676988,0.08060006,0.07599648,0.0729081,0.07133279,0.071395785,0.07315775,0.076227784,0.07971385,0.08242028,0.083425075,0.08245235,0.07987985,0.076264165,0.072021805,0.06737458,0.062633194,0.058165804,0.054284383,0.051045787,0.04838836,0.04621615,0.0444447,0.04315832,0.04287957,0.044744443,0.04958527,0.05691277,0.06430003,0.069300294,0.071628064,0.07464547,0.08261586,0.096976995,0.11359247,0.12556419,0.12799661,0.121628754,0.111073144,0.10094883,0.092858344,0.0860334,0.0794246,0.073519744,0.07034564,0.072011195,0.07891964,0.08869082,0.09741967,0.101796776,0.101122975,0.0968239,0.091107875,0.085347146,0.08003048,0.07505525,0.07047344,0.06655895,0.06378101,0.06224752,0.061534747,0.060847122,0.059953105,0.05966991,0.061569113,0.06633878,0.07274198,0.07787182,0.07930056,0.07666161,0.071778,0.06701433,0.06383715,0.06241409,0.06256024,0.06482264,0.07078347,0.08131066,0.09478817,0.106558144,0.11252341,0.11261719,0.112603515,0.11942337,0.13590156,0.15706784,0.17421311,0.18097918,0.1780079,0.17058897,0.16373985,0.15852515,0.15300216,0.14521904,0.13557921,0.12670495,0.12152987,0.12119342,0.124232255,0.12784784,0.12992547,0.13055082,0.13137795,0.13375677,0.13699311,0.13832086,0.1350559,0.12673537,0.11605952,0.1069356,0.10192583,0.10061281,0.10052123,0.099686466,0.09832076,0.098546006,0.10191714,0.10782123,0.11358359,0.116954274,0.1179773,0.11947932,0.12408402,0.1316878,0.13798307,0.13857274,0.1326078,0.1252707,0.12308674,0.12921844,0.1402284,0.14978056,0.1534145,0.15142138,0.14703779,0.14282632,0.13936003,0.1355589,0.13103126,0.12628604,0.12315446,0.123027004,0.12639946,0.13180853,0.13702436,0.1399106,0.13989384,0.13787009,0.13569279,0.13500537,0.1363407,0.13893025,0.14099275,0.14077228,0.1372075,0.13059168,0.12225807,0.11404354,0.107438475,0.10321661,0.10135684,0.10109513,0.10117454,0.10029472,0.09802136,0.09521737,0.093820214,0.09527283,0.09935398,0.10382033,0.10652047,0.10703733,0.107556514,0.11022338,0.11536627,0.12040766,0.12278003,0.12174177,0.119539715,0.11881579,0.12075933,0.123903334,0.12594397,0.12538818,0.12262412,0.11891091,0.115334846,0.11216077,0.109242834,0.10639224,0.10366925,0.101373106,0.100043595,0.10000956,0.100983955,0.101764314,0.10109526,0.09833449,0.09408199,0.08921584,0.08451906,0.08007265,0.07597313,0.07212398,0.06852383,0.06495354,0.06153814,0.05868725,0.056995455,0.056550488,0.056801636,0.056823537,0.05601272,0.054427814,0.052641198,0.051374,0.05132918,0.05327733,0.057726752,0.06429533,0.071375646,0.07685617,0.07945045,0.079272576,0.07741151,0.07488593,0.07221643,0.06960293,0.06734642,0.066308886,0.067691974,0.07236902,0.079610534,0.08698043,0.091665566,0.09260243,0.09098191,0.0888924,0.08736319,0.08610623,0.08459881,0.0832668,0.08340347,0.08602782,0.090883166,0.09627489,0.10024973,0.10204869,0.10261912,0.103709705,0.10600609,0.10854882,0.10938832,0.10753405,0.10351959,0.09886252,0.09456431,0.09071066,0.08688582,0.08295575,0.07926274,0.07637206,0.074657075,0.07401181,0.07389316,0.07356534,0.0725621,0.07088684,0.069044165,0.0675925,0.066714555,0.06603599,0.06498354,0.06332602,0.06120993,0.058868673,0.0562249,0.053148303,0.049729016,0.04645325,0.043777555,0.041866764,0.040481072,0.039339256,0.038279388,0.0373581,0.03660783,0.035984576,0.035344336,0.0346067,0.033795867,0.03299695,0.03231508,0.031784292,0.03143439,0.031165024,0.03088741,0.03071138,0.031616073,0.035708893,0.04538022,0.061182696,0.08023158,0.09715492,0.10823807,0.11526313,0.12656283,0.15093993,0.19025058,0.23368703,0.26394835,0.26855528,0.2504291,0.22575743,0.21218826,0.21759051,0.23670878,0.25883892,0.2740053,0.2767779,0.26339158,0.23294143,0.18883987,0.1405978,0.099051565,0.071216054,0.05759597,0.05514137,0.060240794,0.0705624,0.084961794,0.10383925,0.12737012,0.15285969,0.17294945,0.17975594,0.17103426,0.15375184,0.14043657,0.14177142,0.1608033,0.19157152,0.22346501,0.24614847,0.25355572,0.24343143,0.21730073,0.18003152,0.13984734,0.10496074,0.081134744,0.07047193,0.072718404,0.08478501,0.10065814,0.11330021,0.11964946,0.1239684,0.13640057,0.1644332,0.20519204,0.24295206,0.26096484,0.2537727,0.23418178,0.22074719,0.22484829,0.24203731,0.26104558,0.27146077,0.2695739,0.2539141,0.22477137,0.18472357,0.14249615,0.110832326,0.100984864,0.116098605,0.14964353,0.18948036,0.22387874,0.24624662,0.25578284,0.2558302,0.24979103,0.23802753,0.2178517,0.18807559,0.15406646,0.12764028,0.12147472,0.13949333,0.17315966,0.20329869,0.2135045,0.19831657,0.16701429,0.13346471,0.11067482,0.10692176,0.12620877,0.16575152,0.21472335,0.2595351,0.28893653,0.2980398,0.28632483,0.2576743,0.21937124,0.18027128,0.14718816,0.12257945,0.10556381,0.09398174,0.086625315,0.08363121,0.08575828,0.09234316,0.10058582,0.10768641,0.11428926,0.12491846,0.14188217,0.1607222,0.17088743,0.16615754,0.14939246,0.13235736,0.12666076,0.13940895,0.16974795,0.21039486,0.24998617,0.27875495,0.29220918,0.29193068,0.2828416,0.27086163,0.260807,0.25507757,0.25314394,0.2522196,0.24857499,0.23790105,0.21747576,0.18876506,0.16032155,0.1437095,0.14732216,0.16956808,0.20110387,0.23000221,0.24904974,0.25676346,0.2554327,0.24672896,0.23039514,0.2063549,0.1781028,0.1537298,0.1424281,0.14883266,0.16966166,0.19499701,0.2152582,0.22612493,0.22989345,0.2290938,0.22287421,0.20664985,0.17866842,0.14319198,0.10980821,0.08684969,0.07683153,0.075345695,0.07531039,0.071567066,0.06357195,0.05403618,0.046043754,0.04088143,0.038025264,0.036322627,0.034927435,0.033536315,0.03210374,0.030654775,0.02918279,0.027748907,0.02648396,0.025554135,0.025004463,0.024735158,0.024565542,0.02436694,0.02407366,0.023649285,0.023050196,0.0222706,0.021396138,0.020634355,0.020607933,0.022658566,0.029006558,0.04133575,0.059088543,0.07891893,0.09810842,0.1179797,0.14358024,0.17692737,0.21290864,0.24091546,0.25338677,0.24862261,0.23004894,0.20173936,0.16983724,0.14307618,0.13237347,0.14452793,0.17820813,0.2231067,0.2667663,0.30039996,0.3217096,0.3308607,0.32759354,0.31175062,0.28634617,0.257716,0.23133874,0.20844443,0.1866135,0.16357519,0.14022434,0.11941317,0.10400605,0.09441932,0.09110695,0.09628769,0.1143592,0.14654247,0.18678747,0.22333197,0.24528188,0.24808659,0.2331642,0.20535089,0.1708113,0.13611639,0.10642314,0.08386979,0.06843903,0.06053179,0.062035676,0.07369628,0.09221717,0.11112406,0.12604375,0.13892752,0.15571618,0.18047215,0.20911701,0.2329613,0.24318789,0.23967403,0.22905266,0.22294338,0.22942485,0.24999933,0.27761254,0.30063018,0.30919883,0.30004275,0.27759516,0.25003237,0.22535586,0.20824517,0.19997704,0.19877972,0.20166437,0.20451552,0.20354484,0.195548,0.18090056,0.16441375,0.15532462,0.16183247,0.18584602,0.21940394,0.24912655,0.26236197,0.25380585,0.22514796,0.1840468,0.14003177,0.10383344,0.084890656,0.09026611,0.120376386,0.16656895,0.2127186,0.24282743,0.24945092,0.23654394,0.21565516,0.19898856,0.1922143,0.1930468,0.1933502,0.1875752,0.17548858,0.1631336,0.15747797,0.1648534,0.18708389,0.22063793,0.25594544,0.28283703,0.29453626,0.29002407,0.27089956,0.24136765,0.20780744,0.17987542,0.1650879,0.16570888,0.17623943,0.1889847,0.19817136,0.20438083,0.2120926,0.2259636,0.24573009,0.2665005,0.28244236,0.29147258,0.2952409,0.29564,0.29099062,0.2772731,0.25235498,0.22090381,0.19305213,0.17786878,0.17536926,0.17583637,0.16808693,0.14929818,0.12746163,0.11485649,0.119629525,0.14177345,0.17441492,0.20785087,0.23401201,0.2481783,0.24872841,0.23577838,0.21186407,0.18250476,0.155398,0.1382844,0.13717926,0.15411669,0.18573801,0.22272511,0.25450632,0.27269927,0.27381974,0.25722224,0.22562926,0.18559396,0.1473703,0.12029187,0.10758951,0.104764916,0.103691526,0.09853161,0.089097105,0.07899781,0.071861595,0.068543084,0.06770372,0.06753895,0.06719649,0.066727005,0.06660279,0.06717908,0.068436205,0.06967622,0.070412494,0.07223014,0.08072278,0.103301145,0.14366484,0.19696367,0.25178912,0.29660696,0.3240051,0.32973114,0.31110454,0.27000776,0.2162943,0.16665535,0.13740043,0.13926904,0.1749047,0.23813146,0.3129327,0.3776202,0.4162414,0.426802,0.4207016,0.41028312,0.4020631,0.39498663,0.3875427,0.37904188,0.37046376,0.36158904,0.35195687,0.3409996,0.32877144,0.31629553,0.3061994,0.3034453,0.31236175,0.33348426,0.3607639,0.38545775,0.40047422,0.404204,0.3977253,0.38253942,0.35938108,0.33114597,0.30349398,0.28300172,0.2734009,0.27400374,0.28072026,0.28849244,0.29381594,0.29620335,0.29808542,0.30209658,0.30813614,0.31181756,0.30794272,0.2948781,0.27776566,0.26544562,0.26486158,0.27620244,0.29285124,0.30799285,0.32106557,0.34141156,0.37782195,0.42826268,0.47367874,0.49286643,0.47728205,0.43875232,0.39708862,0.3668268,0.35034457,0.3428094,0.3382971,0.33411112,0.3299644,0.32675648,0.3239714,0.32021976,0.31390008,0.30535185,0.29656753,0.2901157,0.287145,0.2868403,0.2873267,0.2872341,0.28649858,0.28547558,0.28413865,0.28186,0.27949128,0.2798802,0.2874534,0.30382085,0.32648066,0.34894884,0.3665088,0.37777555,0.38504395,0.3892041,0.3889967,0.38096347,0.36368182,0.3394579,0.3150413,0.29819486,0.29307103,0.2972968,0.30356285,0.30549085,0.30273163,0.30186102,0.3124161,0.33895382,0.37613407,0.4086236,0.42098925,0.4067231,0.37255648,0.33197585,0.29732254,0.27429172,0.26242486,0.2581596,0.2584071,0.26253292,0.2712803,0.28426906,0.29793307,0.30706862,0.30823168,0.30238724,0.29420963,0.2884988,0.28720367,0.2887493,0.29065338,0.2922586,0.29596427,0.30494314,0.320313,0.3391347,0.35668245,0.36872283,0.3734833,0.36963758,0.35591114,0.3320026,0.30198872,0.27462986,0.2595459,0.26131076,0.27615884,0.29481968,0.30814573,0.3119254,0.30661532,0.29479942,0.27867064,0.26002726,0.24093693,0.22571246,0.22179122,0.2397747,0.28488478,0.34931895,0.40847406,0.4365307,0.42235157,0.37849703,0.32873738,0.29235896,0.27471742,0.2706405,0.27261224,0.27605474,0.27993432,0.28392544,0.2866449,0.28594658,0.28099847,0.27297387,0.26462838,0.25844464,0.25589204,0.25658724,0.25888965,0.26078478,0.26139167,0.26109836,0.26053903,0.25938663,0.25685737,0.25381443,0.25400916,0.26287532,0.28267047,0.30987823,0.3350431,0.34987602,0.35112464,0.34406272,0.3364791,0.3356144,0.34238037,0.3539091,0.36429608,0.36907753,0.3651328,0.3518127,0.3310823,0.30839193,0.2923113,0.2906942,0.30783102,0.34029344,0.37885693,0.41043815,0.42640138,0.42566383,0.4154664,0.40477434,0.39916757,0.39895883,0.40053502,0.40024975,0.3960891,0.38891923,0.37984642,0.3691404,0.35630834,0.34259748,0.33195207,0.3284597,0.33311194,0.34143803,0.34687606,0.3440521,0.33307394,0.31825495,0.3072169,0.30553302,0.31432462,0.32736754,0.33581614,0.33302703,0.31966686,0.30178356,0.28633273,0.27677593,0.27227864,0.27032086,0.26916254,0.268782,0.26934958,0.26995623,0.26876923,0.26471734,0.25824896,0.25122213,0.24535197,0.24177547,0.24036886,0.24150074,0.24850775,0.26946077,0.31160554,0.37163344,0.43129173,0.46772256,0.47046027,0.4479885,0.41808996,0.39270052,0.37320456,0.35568938,0.33846474,0.3238269,0.31633687,0.31882784,0.33033416,0.34478915,0.3550694,0.35603333,0.34772825,0.33304536,0.3166683,0.30274832,0.29431584,0.2912494,0.2907833,0.28972244,0.28732595,0.2850851,0.2841071,0.2837864,0.2828544,0.28212404,0.2840451,0.29134735,0.30426332,0.32101634,0.3379799,0.351153,0.35609755,0.34953532,0.33078715,0.3035169,0.27436516,0.25002643,0.23364656,0.22449572,0.21982242,0.21762304,0.21843167,0.22602934,0.24650168,0.2828462,0.32821226,0.3662221,0.38180065,0.37525678,0.36080834,0.35408285,0.35726485,0.3624537,0.360245,0.34895337,0.33195773,0.3156011,0.30572113,0.30672243,0.31804302,0.33324143,0.34273267,0.3393003,0.32269785,0.29965115,0.28039357,0.27223146,0.27518067,0.28256157,0.28716102,0.2876661,0.28820765,0.29281098,0.29954576,0.30330968,0.30153152,0.2978847,0.29774037,0.30234668,0.3074232,0.30699265,0.29796857,0.281265,0.26063043,0.2407356,0.22506863,0.21536992,0.21183975,0.21543743,0.22777958,0.24987264,0.27939966,0.3117163,0.3433379,0.37530872,0.41084814,0.44786415,0.47488508,0.47572088,0.44363698,0.38872752,0.33496058,0.3033283,0.3008801,0.31786048,0.3389832,0.35274443,0.35697588,0.3547866,0.35011157,0.3441665,0.3368512,0.32937193,0.3251246,0.32754052,0.33564758,0.34397063,0.34496906,0.3344183,0.31391597,0.2910588,0.27719024,0.28085098,0.30258825,0.33102,0.34991202,0.34734932,0.32489005,0.29474333,0.2708584,0.2591851,0.25706974,0.2593725,0.26459232,0.2743946,0.28884193,0.3041114,0.3148501,0.3178242,0.31193724,0.29618776,0.2691381,0.2311763,0.18741834,0.14933099,0.13261443,0.15188415,0.20853646,0.2869679,0.35766038,0.39869556,0.40437892,0.38826072,0.3652091,0.34560242,0.33049735,0.31965736,0.31214944,0.30849493,0.30767193,0.30836546,0.30845073,0.3073354,0.30542478,0.30450585,0.30564344,0.30828595,0.31029618,0.3096681,0.30693194,0.3052039,0.30897987,0.32023957,0.33667758,0.35191175,0.3596451,0.35699788,0.34560254,0.33017287,0.31682637,0.31138492,0.31702793,0.33187222,0.34992704,0.36448514,0.3725132,0.37413254,0.3700066,0.3590808,0.34085894,0.3185753,0.29852232,0.28578797,0.28008816,0.2774744,0.27546957,0.27778944,0.29339907,0.32824066,0.37708902,0.42156413,0.44270527,0.43387195,0.40589952,0.37545863,0.3533148,0.3395923,0.3304015,0.32335544,0.31941417,0.31935382,0.32220066,0.3249761,0.32529715,0.3227321,0.31912568,0.31692874,0.3172054,0.3191311,0.32085282,0.32192373,0.32391396,0.32988843,0.34132144,0.3565227,0.37091044,0.3801926,0.38290295,0.3800111,0.37338993,0.36465892,0.3567233,0.35313067,0.35607418,0.3632722,0.36941913,0.36988962,0.36449945,0.35624954,0.34875834,0.34368196,0.34215844,0.34509334,0.35307214,0.36359727,0.37145436,0.37080288,0.3598516,0.34252366,0.32653925,0.31811813,0.3177928,0.32135776,0.32357073,0.32233807,0.3181378,0.31213155,0.3041996,0.2932954,0.27976462,0.2661818,0.2578601,0.25905225,0.27085873,0.28946093,0.30900112,0.32476208,0.3347191,0.3396956,0.3407736,0.33978352,0.3376727,0.33635393,0.3368369,0.3394662,0.34225893,0.34254873,0.33893713,0.3323829,0.32517996,0.31847546,0.31241557,0.30661294,0.3014264,0.29750642,0.29609394,0.29906917,0.30733556,0.31974694,0.3321185,0.3411064,0.34486878,0.34441563,0.34030023,0.33372664,0.32581094,0.31876302,0.3147651,0.31786868,0.33461162,0.37093678,0.42289305,0.47273216,0.49633393,0.48183015,0.437796,0.38718855,0.3487682,0.32870844,0.32187426,0.32156715,0.3236612,0.32745096,0.3328282,0.33928272,0.3454212,0.34962586,0.35083798,0.34895626,0.34485254,0.33958054,0.3339535,0.3286601,0.32457379,0.32312736,0.3250898,0.33004448,0.33559927,0.33939496,0.34017324,0.3386996,0.3364229,0.3347679,0.33491814,0.3378944,0.34445754,0.35433412,0.36639223,0.37816703,0.3866587,0.38801682,0.3790616,0.35787153,0.3256662,0.28747854,0.2517963,0.22857963,0.22409187,0.23918162,0.26867822,0.30770698,0.3502507,0.38816905,0.4074488,0.39769956,0.3599725,0.30890122,0.2614722,0.22688515,0.20434111,0.18822223,0.17407,0.1604632,0.14857031,0.13968974,0.13405526,0.13073577,0.12981743,0.1365542,0.1619724,0.21908136,0.30575573,0.39882204,0.45756197,0.45773414,0.406029,0.34118497,0.29629216,0.28072155,0.2756503,0.26140663,0.23328815,0.20542867,0.19506894,0.2097377,0.24286695,0.28059098,0.3094443,0.32113364,0.31247708,0.2867628,0.253756,0.227821,0.21904306,0.22766678,0.24424095,0.2603393,0.27342856,0.28666803,0.30058262,0.3148986,0.33155915,0.35686657,0.38983372,0.41700724,0.41820702,0.3861288,0.3318908,0.2769449,0.23528437,0.20929843,0.1936944,0.18346184,0.17548873,0.16847418,0.16210343,0.15683722,0.1532803,0.1520834,0.15456046,0.16246445,0.17581467,0.19058837,0.2004385,0.20175242,0.19873829,0.2010489,0.21815874,0.2517644,0.29501653,0.33412078,0.35481814,0.34943464,0.32166803,0.28604725,0.2581484,0.24697417,0.24994028,0.25851622,0.26285335,0.25764832,0.24342632,0.22696263,0.21640022,0.21469903,0.2167636,0.2149362,0.20782924,0.2021075,0.20606571,0.22197764,0.24757485,0.28191122,0.32732025,0.38020286,0.42573777,0.44355252,0.42759392,0.39089593,0.3560437,0.33274922,0.3155923,0.2927839,0.2610731,0.2258975,0.19568454,0.17467578,0.1623815,0.15566398,0.15259886,0.15632589,0.17610557,0.22375083,0.29835603,0.38031778,0.4342399,0.43826973,0.39576685,0.33591366,0.2862036,0.26090685,0.2564282,0.26156533,0.26326942,0.25338823,0.2326728,0.21072066,0.20017706,0.20832615,0.23325096,0.26497266,0.29195604,0.30575418,0.30363277,0.2871509,0.2615476,0.23526882,0.21817803,0.21679886,0.22979851,0.2474616,0.25843132,0.2592888,0.26068136,0.28106394,0.32706717,0.38159215,0.40929976,0.38834825,0.32581723,0.25458682,0.20238896,0.17837024,0.17283034,0.17413883,0.17612897,0.17949533,0.18612935,0.19616322,0.2073067,0.21759355,0.22714724,0.23870254,0.25469142,0.27519968,0.29667845,0.31475484,0.32629535,0.3311142,0.3306606,0.32707712,0.3216457,0.31369463,0.3011241,0.28315043,0.26410142,0.25179487,0.25260785,0.26528552,0.28261802,0.296121,0.30218574,0.3017521,0.29882804,0.29697874,0.2985504,0.30262402,0.30601946,0.30545685,0.30165812,0.2988778,0.30028644,0.30386856,0.30640385,0.3113483,0.33119822,0.3724756,0.42340836,0.4528359,0.43776858,0.3794162,0.30546302,0.24356347,0.20682187,0.19004287,0.18260992,0.17693222,0.17134888,0.16731066,0.1665314,0.16983132,0.17826454,0.19484425,0.22548425,0.27609983,0.34293866,0.40818718,0.44418946,0.43536267,0.38809744,0.32900307,0.28288177,0.26269355,0.26571557,0.28154954,0.29513672,0.29497293,0.27773353,0.2522279,0.23154937,0.22560382,0.23459083,0.2518127,0.26717886,0.27268624,0.26503283,0.24770011,0.22954313,0.2202384,0.22515477,0.2418546,0.2630774,0.2809827,0.2918924,0.29803216,0.30750918,0.33246624,0.37725696,0.43031475,0.46231893,0.4494803,0.39059353,0.31154916,0.24165429,0.19624685,0.17172296,0.15824226,0.14855081,0.14097665,0.1359581,0.13464057,0.13801573,0.14670064,0.15910983,0.17167376,0.18206002,0.19244027,0.20814647,0.23162736,0.2593799,0.2843927,0.30141535,0.30824423,0.30362448,0.28661963,0.2584288,0.22504903,0.19512707,0.1765421,0.17346703,0.1862845,0.21218576,0.2441601,0.27304828,0.29022107,0.29289973,0.2842736,0.27088442,0.25750092,0.24462014,0.23124671,0.21891956,0.21363719,0.2202632,0.23726662,0.2581637,0.28022358,0.31043908,0.3552952,0.4078876,0.4425995,0.43615308,0.38557795,0.3137945,0.24844843,0.20518483,0.18218689,0.17068166,0.16352516,0.15844758,0.15559883,0.15493844,0.15540476,0.15600151,0.15878819,0.17089789,0.20382558,0.2648313,0.34518814,0.41711393,0.44795045,0.42507806,0.36432263,0.29847598,0.2516547,0.22982371,0.22313893,0.2195277,0.2116084,0.20093273,0.19443159,0.1986152,0.21334773,0.23164983,0.24471836,0.2471708,0.23846526,0.22156817,0.20162451,0.18650533,0.18379156,0.1975381,0.22326906,0.2518923,0.2741908,0.28759512,0.2958913,0.30813536,0.33444157,0.37795606,0.4277805,0.45889917,0.44925347,0.39644042,0.32217264,0.2553209,0.2133627,0.19589199,0.1925051,0.19374608,0.1955462,0.19771825,0.20051084,0.20310248,0.20453386,0.20441814,0.20358455,0.20314436,0.20440935,0.20792228,0.21343727,0.21944481,0.22400863,0.22514711,0.2219311,0.21458136,0.2048331,0.19516522,0.18796955,0.18432184,0.18345253,0.18387192,0.18515658,0.18955779,0.19973445,0.21645766,0.23677826,0.2582053,0.27969125,0.30151442,0.31975272,0.3288063,0.32570454,0.31579065,0.30825996,0.30919817,0.31720373,0.32770672,0.33942735,0.35724196,0.38595316,0.4237524,0.4585952,0.47732377,0.47350693,0.45297274,0.426618,0.4040924,0.38865206,0.3787727,0.37093258,0.36268818,0.35377058,0.3451911,0.3378459,0.33254918,0.33073172,0.33549842,0.35087216,0.37965253,0.41840014,0.45563328,0.47630695,0.4732137,0.4522585,0.42710224,0.40720952,0.39221856,0.37685433,0.35747012,0.33667806,0.31991687,0.31221294,0.31230822,0.3132248,0.3068106,0.29169583,0.27499032,0.26612714,0.26850545,0.27727592,0.28424093,0.28472504,0.2798353,0.27476385,0.2747943,0.28289548,0.29812583,0.3169187,0.33642268,0.3590106,0.39066646,0.43316892,0.4764391,0.50219506,0.4982156,0.4687104,0.43230328,0.40696406,0.39999744,0.4054501,0.4130229,0.4146302,0.40910998,0.39981613,0.3910009,0.38396034,0.37653074,0.3663342,0.35429406,0.34598216,0.3483161,0.3643724,0.39033762,0.41648778,0.43335202,0.4363238,0.42764214,0.4123583,0.39507163,0.37784135,0.36171606,0.34766063,0.3367095,0.32869768,0.32202902,0.31505632,0.30831614,0.3052194,0.3104315,0.32597327,0.34917828,0.37226477,0.38769677,0.39140478,0.38647196,0.37868276,0.37422594,0.37516722,0.38181365,0.3933287,0.41007352,0.4307369,0.45124003,0.4639682,0.4625263,0.44421998,0.41265643,0.37574437,0.34527788,0.33156204,0.33836827,0.35831305,0.3773552,0.38339138,0.37377575,0.35467088,0.33552825,0.323133,0.32171488,0.33390334,0.36244655,0.40297794,0.44288066,0.4627321,0.4528254,0.41918096,0.38213336,0.3586707,0.35280266,0.3554671,0.35502836,0.34586036,0.32966492,0.31210542,0.29753372,0.28705224,0.27889153,0.271229,0.26411524,0.2590572,0.25722358,0.25780118,0.25973472,0.26393554,0.27437136,0.2945594,0.32240155,0.34840047,0.35946515,0.34889057,0.32348025,0.30371344,0.31065038,0.34916258,0.4015853,0.43938792,0.44616508,0.42626715,0.39865187,0.37812424,0.36967,0.3689702,0.37134585,0.3736284,0.3754584,0.3768617,0.37819806,0.38006786,0.3831544,0.38776076,0.39323345,0.39939716,0.40700528,0.41732085,0.43009305,0.4432563,0.4541616,0.4611515,0.46340048,0.45973873,0.4485226,0.42933783,0.4053948,0.3835114,0.37077186,0.3692086,0.37356386,0.3748152,0.36747155,0.35403714,0.3426092,0.33999363,0.34664872,0.35728145,0.3658861,0.3701587,0.37230885,0.37568858,0.38118115,0.38608816,0.3869495,0.38483527,0.38703454,0.40394232,0.43688202,0.47418442,0.49385926,0.483395,0.44665876,0.4040393,0.3746045,0.3674164,0.37779132,0.39382163,0.40448046,0.40420675,0.39519644,0.38190484,0.36817488,0.35423443,0.34074202,0.33206955,0.33721006,0.3628724,0.40466586,0.4456705,0.46736792,0.4637672,0.44405115,0.42153883,0.40160498,0.3806657,0.35476747,0.32543135,0.29879013,0.2792147,0.2673103,0.26023856,0.25605538,0.25475773,0.25925648,0.27192232,0.29211798,0.313745,0.32853806,0.33127725,0.32357714,0.31270218,0.30644515,0.31031144,0.3252999,0.3489302,0.37622502,0.40387622,0.43245116,0.46216986,0.48803258,0.4989077,0.48928908,0.46464583,0.43933037,0.42281064,0.41546726,0.41153094,0.40720865,0.4022249,0.39819455,0.39592266,0.39550912,0.39617455,0.39687347,0.39631334,0.39447287,0.39267027,0.39220488,0.3920083,0.3890413,0.3819879,0.37431404,0.37262985,0.38056478,0.39503098,0.40786913,0.41271284,0.40816942,0.39711866,0.38090408,0.3580654,0.325352,0.28374952,0.2407844,0.20996745,0.20294066,0.22198115,0.25684506,0.29148567,0.3130567,0.31697714,0.30391344,0.2759125,0.23519309,0.18652473,0.1380142,0.10186202,0.09239913,0.123499095,0.19491877,0.28715602,0.36349574,0.39888576,0.3930091,0.3717881,0.35960984,0.3658556,0.3808851,0.38947904,0.3815464,0.35868394,0.33281496,0.31639293,0.31406176,0.31964803,0.32596895,0.33213732,0.3466164,0.37569132,0.4163623,0.45268908,0.4694514,0.46095324,0.43638468,0.40778133,0.38171485,0.35499737,0.32307884,0.28574806,0.24855079,0.21769547,0.19754548,0.18931256,0.19107123,0.19652645,0.19948947,0.20037532,0.20891516,0.23578024,0.28100133,0.33110797,0.36672595,0.37459615,0.35372666,0.31608498,0.28064683,0.26412007,0.27336398,0.3036593,0.34534833,0.38624838,0.41482368,0.4191626,0.3968296,0.3564973,0.31624147,0.28899232,0.27762094,0.27584323,0.27739373,0.27945518,0.28291947,0.28904256,0.29774606,0.30710605,0.31430247,0.3174056,0.31599644,0.3114483,0.3055227,0.30011,0.29649103,0.2957733,0.2976164,0.30007836,0.2984126,0.28796995,0.26586875,0.23538363,0.20405173,0.18296756,0.1804664,0.20002876,0.2362405,0.27797225,0.31284502,0.3343511,0.3427619,0.34130946,0.3301849,0.30653402,0.2696878,0.2281874,0.19846226,0.19663787,0.2268926,0.27845004,0.33192194,0.3730093,0.4000766,0.42408538,0.45476425,0.49342835,0.5268162,0.5424219,0.53405404,0.5121868,0.49044538,0.48081753,0.48327994,0.4924837,0.5006877,0.5038793,0.5002704,0.48970833,0.47218338,0.4491377,0.42362836,0.3999032,0.3809047,0.36710298,0.35685763,0.34832504,0.34117666,0.3360902,0.33364573,0.33146164,0.32500294,0.3092074,0.28394246,0.2545726,0.23112185,0.2218474,0.2298884,0.25062418,0.27475712,0.29280397,0.29997155,0.29861537,0.29552457,0.29806176,0.30761397,0.31938568,0.32517293,0.3215274,0.3119849,0.30313632,0.2962642,0.2859977,0.26928693,0.2552971,0.2640624,0.30816925,0.37837276,0.44435486,0.47888997,0.47488344,0.4485791,0.42074287,0.40393996,0.39800325,0.39861003,0.4021124,0.4069272,0.41004607,0.40808663,0.39968213,0.38846755,0.37955883,0.37637243,0.37849963,0.3849146,0.39493898,0.4086407,0.4249047,0.44162306,0.45531455,0.46106708,0.45374572,0.42985067,0.39071593,0.34128466,0.29033783,0.24819034,0.22730441,0.23561478,0.27191934,0.32201263,0.36749074,0.39275932,0.39168534,0.36506605,0.32087255,0.27088252,0.22777693,0.19987462,0.1904441,0.19774835,0.2146039,0.22861792,0.22965704,0.2206487,0.22074933,0.25059116,0.31339398,0.3868091,0.44067106,0.4577422,0.44468483,0.41946825,0.3978288,0.38673365,0.38825953,0.40205538,0.4227877,0.4406354,0.445519,0.43606743,0.41879138,0.4026483,0.3907365,0.38183078,0.37519172,0.37398764,0.38171467,0.39732718,0.4137937,0.42256662,0.41752684,0.39785135,0.36573887,0.327219,0.29017994,0.26351953,0.25131685,0.25152546,0.2576506,0.26400068,0.2674264,0.2659355,0.25715074,0.23945005,0.21484971,0.18916808,0.16967452,0.16124356,0.16712536,0.1872396,0.21690421,0.24225561,0.24913943,0.23498595,0.21888529,0.22915584,0.28288683,0.36964965,0.45918426,0.52116466,0.5442053,0.53627795,0.51463586,0.49321494,0.47945854,0.4741908,0.47444558,0.47434917,0.47033367,0.46246803,0.4553244,0.45124233,0.44933662,0.4451311,0.43695942,0.42680398,0.41938365,0.41761374,0.42087993,0.42614293,0.42938018,0.4273328,0.41655442,0.3952366,0.36291388,0.32305464,0.28120586,0.2454319,0.22249399,0.2158594,0.22256602,0.23529862,0.24748941,0.2577702,0.27012265,0.28822997,0.31135085,0.3317956,0.3392569,0.32516673,0.29070482,0.24700417,0.21350329,0.20435487,0.22388057,0.26223114,0.3094399,0.35804883,0.40817985,0.45525578,0.4913579,0.5060701,0.49802366,0.47426534,0.44576088,0.4190565,0.3954798,0.3748231,0.35892725,0.35141432,0.3551201,0.36982,0.39150926,0.4130518,0.4268712,0.428781,0.42155972,0.4132198,0.41215906,0.42024037,0.43314254,0.44328725,0.44485608,0.43381014,0.4083685,0.37008926,0.32544708,0.28430602,0.25634143,0.24707548,0.2553787,0.2723612,0.2853843,0.28514323,0.27156234,0.25254786,0.23693061,0.22846605,0.22340144,0.21549301,0.20208998,0.19055928,0.19257249,0.21547866,0.25228906,0.28966594,0.31826603,0.34373948,0.37840667,0.42947912,0.48876813,0.5383902,0.56452256,0.56663686,0.5560496,0.54411864,0.5367264,0.5329527,0.5313596,0.5302985,0.52951247,0.5276949,0.52485824,0.52103084,0.5175248,0.51497763,0.51449823,0.5166774,0.5217593,0.5286357,0.5347832,0.53619486,0.5274369,0.5030382,0.45999953,0.4006555,0.3327759,0.26700336,0.21332754,0.1790411,0.16808008,0.17899996,0.20418517,0.23020552,0.24450661,0.23938711,0.21557255,0.17850614,0.13682131,0.098250955,0.068404116,0.048680604,0.03732701,0.031205507,0.027651573,0.025002638,0.023801362,0.029485008,0.054454297,0.11260673,0.206973,0.32073483,0.42420498,0.49440217,0.5280991,0.5374022,0.5350153,0.5262552,0.5122852,0.49530423,0.47986364,0.46838585,0.46038035,0.45271525,0.44404066,0.43442988,0.4251449,0.41605905,0.40656126,0.3963181,0.38588247,0.37597466,0.3673916,0.36153603,0.36134097,0.36881042,0.38387823,0.40199026,0.4184682,0.4298871,0.43764117,0.44393715,0.44995138,0.45249388,0.44740382,0.43302825,0.41347584,0.39582017,0.38549682,0.38286385,0.38425267,0.38583863,0.38666642,0.38914108,0.39582905,0.40648767,0.41691017,0.42246625,0.42181098,0.41907203,0.42075932,0.43111774,0.44803512,0.46340168,0.46825352,0.45812485,0.43623435,0.40980092,0.3864837,0.3705487,0.36368215,0.36476746,0.37131277,0.38013563,0.38944125,0.39843687,0.4064745,0.4115928,0.41230145,0.40880954,0.40374327,0.3996375,0.3975328,0.3968184,0.39729866,0.4008031,0.40996277,0.4260513,0.44581607,0.46385142,0.4750166,0.47918656,0.4792582,0.47887227,0.4783064,0.4756342,0.46938482,0.46113443,0.45468226,0.45276752,0.45460144,0.45642552,0.45474616,0.4496499,0.44460723,0.44369552,0.4478784,0.45457473,0.45959857,0.46130237,0.4626195,0.47051552,0.48862553,0.511775,0.52460295,0.51400495,0.47875187,0.43343547,0.39591262,0.3769894,0.37466994,0.38027403,0.38425896,0.38117456,0.36970925,0.3525791,0.33418941,0.31884578,0.3084403,0.3027245,0.30059588,0.3011622,0.30381045,0.30705193,0.31007183,0.31336507,0.32008913,0.3316392,0.3461502,0.35718313,0.3603965,0.35558745,0.34793702,0.34209546,0.34039962,0.34170243,0.3439599,0.34555557,0.34678933,0.3502021,0.3589219,0.37408793,0.39281616,0.4103082,0.42279693,0.4301306,0.4337124,0.43474212,0.43231496,0.42527577,0.414598,0.40583646,0.40933537,0.43246245,0.47309735,0.5138673,0.5353758,0.5267857,0.49633643,0.45953217,0.42986846,0.40974152,0.39590156,0.38375595,0.37160775,0.36013567,0.35147843,0.34763682,0.3487334,0.35307738,0.3582376,0.36341524,0.3685061,0.3735137,0.37678528,0.37770057,0.37681377,0.37681833,0.37882516,0.38237962,0.3848673,0.38503942,0.38296852,0.3803852,0.37832907,0.37672043,0.37417293,0.3689032,0.36039963,0.35012797,0.34157932,0.3377476,0.3395904,0.34508443,0.35125783,0.3554571,0.35715303,0.35658598,0.3548092,0.3517722,0.34785402,0.34451035,0.34692374,0.36344644,0.3996627,0.45206198,0.50412273,0.53779113,0.54355377,0.5289612,0.50855714,0.49500707,0.4911076,0.49338686,0.49657407,0.49728742,0.49456784,0.48836756,0.47924685,0.46749023,0.45362458,0.4377228,0.4201431,0.4016352,0.3839768,0.3686756,0.35673657,0.34840778,0.34494483,0.34771526,0.35719147,0.37107363,0.38597652,0.39929274,0.40970802,0.41600823,0.41637337,0.41126087,0.40462437,0.40301406,0.41013798,0.42458436,0.4406029,0.452291,0.45662513,0.45417908,0.44863892,0.44378316,0.44203317,0.4421899,0.44167256,0.4367398,0.4266089,0.41395012,0.40781423,0.4169059,0.4438158,0.47744116,0.50115436,0.50309604,0.4868604,0.46518242,0.4501314,0.44431922,0.44407585,0.4444081,0.44237757,0.43549368,0.4216415,0.40057954,0.3757613,0.35267344,0.33549643,0.3251233,0.3198723,0.31778234,0.3174837,0.31835797,0.32027388,0.3242776,0.33271053,0.34715113,0.36658958,0.3865675,0.40322086,0.41527006,0.42485914,0.43309036,0.43907043,0.44047335,0.43745875,0.43240884,0.4280124,0.4238651,0.41708675,0.4050643,0.38910043,0.3747983,0.36862946,0.37318143,0.38508126,0.3975139,0.40496555,0.40631285,0.40553856,0.40981257,0.42540464,0.45222345,0.48035288,0.49540874,0.48774913,0.4605799,0.42544556,0.39442608,0.37272754,0.36030194,0.35446146,0.3528049,0.35380086,0.35709584,0.3631065,0.37122932,0.37951934,0.38515076,0.38685903,0.38510644,0.38150164,0.37677035,0.37097657,0.36464056,0.36017668,0.3606447,0.36671937,0.37492535,0.37934318,0.37644175,0.36720386,0.35637096,0.34775284,0.34278357,0.33998033,0.33809283,0.33690342,0.33834887,0.34498987,0.3584908,0.37801683,0.4002004,0.42125475,0.4382274,0.44966432,0.45405158,0.45036158,0.4381818,0.42006254,0.4022005,0.3944815,0.4051493,0.43250498,0.4632505,0.47967255,0.47547594,0.4578626,0.44200823,0.43629876,0.44074917,0.449142,0.45604602,0.45852175,0.45596364,0.44976115,0.44209322,0.43590072,0.432819,0.43292117,0.43476,0.436833,0.43841282,0.43903872,0.4381933,0.43540597,0.43146548,0.42870092,0.42899776,0.43198106,0.43406093,0.4322822,0.42592373,0.41769782,0.40953907,0.40191665,0.39332208,0.38337526,0.3733317,0.36542416,0.36095515,0.35858235,0.35581422,0.35013035,0.342671,0.33651972,0.3359737,0.34050262,0.34622768,0.346445,0.3390371,0.32492232,0.30742657,0.28646347,0.2611896,0.23170656,0.20205908,0.1769345,0.15900822,0.14716662,0.1384302,0.12985656,0.11989244,0.10842532,0.09658551,0.08631494,0.079489656,0.076723725,0.0767907,0.07729753,0.076541215,0.07461372,0.073227376,0.07392093,0.07673616,0.07982325,0.081151314,0.08045754,0.08053241,0.08487656,0.09447145,0.10525334,0.11112279,0.10832744,0.09891563,0.08847592,0.081724815,0.07919421,0.07779068,0.07469047,0.07006287,0.0677574,0.07122969,0.08058518,0.09102101,0.09693111,0.095228344,0.08731667,0.07652173,0.065840214,0.056698825,0.049570173,0.044625115,0.041991595,0.041920427,0.04441482,0.04893281,0.05397058,0.057846125,0.059419896,0.058868695,0.057133507,0.055356394,0.054079425,0.053283136,0.052743923,0.052690927,0.053907383,0.056876168,0.06096785,0.06431375,0.06538706,0.064057,0.061938222,0.060696457,0.061000362,0.061899055,0.062233165,0.061719026,0.061825108,0.06426822,0.06934496,0.074637204,0.076881476,0.07455838,0.06968102,0.066010565,0.06586772,0.0680745,0.06902753,0.06620631,0.060570467,0.056714613,0.05899713,0.06824013,0.08000859,0.08821658,0.08916516,0.0842405,0.07784819,0.073847756,0.07302786,0.0732831,0.07192417,0.067550935,0.060937345,0.053889215,0.048064783,0.043900277,0.04105085,0.03898454,0.037853304,0.038117424,0.039938074,0.0424403,0.044209152,0.044280052,0.042894345,0.041228283,0.040344175,0.040453263,0.04076695,0.040360376,0.038884733,0.037001226,0.03550723,0.034607876,0.03346632,0.031245641,0.027813526,0.024027856,0.020825276,0.018702438,0.01759871,0.017292703,0.017615015,0.01843221,0.019651257,0.021060936,0.022361329,0.023065845,0.02330978,0.024245484,0.028369566,0.037153073,0.049571734,0.061039522,0.06728074,0.066958465,0.063516594,0.06138638,0.0628528,0.06607496,0.067484915,0.0648175,0.058825914,0.052344937,0.047897737,0.046301093,0.046596956,0.047390718,0.047794584,0.04786001,0.04807065,0.048809227,0.049973194,0.051120345,0.051876877,0.052341085,0.053086277,0.054561194,0.056570854,0.05817236,0.058597416,0.057861492,0.057039957,0.057258654,0.058892787,0.060959846,0.06179872,0.060089692,0.055760633,0.04987595,0.043816928,0.038517382,0.034228325,0.031030849,0.029415166,0.030730017,0.03630587,0.046159383,0.0576714,0.067009054,0.07174063,0.07354587,0.0769055,0.08539196,0.09786784,0.10896182,0.11320111,0.10925904,0.100774266,0.09287255,0.08830365,0.08564166,0.082096756,0.07765892,0.07803938,0.091945596,0.12432361,0.17091763,0.21934421,0.25734055,0.2793741,0.28810272,0.28914776,0.2870522,0.28355542,0.27899536,0.27319393,0.26640823,0.2591695,0.25258797,0.24732031,0.24344277,0.2401061,0.23645858,0.23233066,0.22828943,0.2251339,0.22288893,0.2208022,0.21772788,0.21300519,0.20679657,0.19986005,0.19311793,0.18743972,0.18386792,0.18366174,0.18744773,0.19417547,0.20093012,0.20489608,0.20555383,0.2053564,0.2074432,0.21288036,0.21954866,0.22409467,0.22435392,0.2205656,0.21415012,0.2066149,0.1990378,0.19269909,0.18854362,0.18702261,0.18760364,0.19040763,0.19532375,0.20232667,0.20929112,0.21491866,0.21870786,0.22276442,0.22806187,0.23428033,0.23919493,0.24173152,0.24222161,0.24218915,0.24220805,0.24190898,0.24055453,0.23888509,0.23871619,0.241827,0.24793124,0.25499436,0.26070717,0.26433325,0.26647687,0.26769546,0.26756287,0.26560473,0.26269296,0.26111615,0.26273295,0.2672241,0.27204764,0.2743308,0.27297556,0.26925084,0.26555488,0.2631669,0.26133886,0.25811934,0.25262508,0.24575667,0.23949267,0.23480262,0.23140626,0.2283733,0.22577704,0.22455597,0.22577298,0.22913505,0.23303105,0.23526011,0.23469496,0.23153263,0.22708626,0.22225823,0.21741195,0.21242402,0.20766091,0.20390908,0.20193173,0.20195092,0.20351012,0.20588218,0.20825009,0.21000604,0.21079773,0.21060824,0.20963146,0.20810813,0.20620906,0.20402838,0.2016399,0.19930957,0.19744378,0.19631457,0.19547404,0.19386844,0.19057001,0.18567197,0.18020064,0.17523785,0.17111188,0.16757685,0.16447951,0.1621721,0.16094607,0.1604958,0.15996037,0.15885268,0.15753864,0.15678826,0.15683438,0.15706067,0.1567533,0.15586112,0.1552469,0.15572207,0.15735275,0.15903915,0.1595184,0.15818273,0.1557941,0.15399982,0.15442568,0.1576174,0.16262585,0.16756032,0.17076369,0.17159408,0.17058001,0.1685101,0.16611683,0.163749,0.16206074,0.16189311,0.1640479,0.16852294,0.17417662,0.17918861,0.1818977,0.18203098,0.18074436,0.1799463,0.18087487,0.18351716,0.18671215,0.18849166,0.18625377,0.17759566,0.16196275,0.14205149,0.122565754,0.10739163,0.097247355,0.09047743,0.085149676,0.08052384,0.0768095,0.07517681,0.078307025,0.09072071,0.11569673,0.15153675,0.18936247,0.21740346,0.22694671,0.21739383,0.19548638,0.17195947,0.15675505,0.15553463,0.16782464,0.18783094,0.20829105,0.22410466,0.23345315,0.23520297,0.22750777,0.20956887,0.18482818,0.16074997,0.14408834,0.13638587,0.13339908,0.12958084,0.12247852,0.1141684,0.10838821,0.10721731,0.10962117,0.112996936,0.115445584,0.11723324,0.1198423,0.12437118,0.12991221,0.13442992,0.13649492,0.13738436,0.14063925,0.14926505,0.1624357,0.17530845,0.18228982,0.18176441,0.17701097,0.1745613,0.1790386,0.19049044,0.2034479,0.21040176,0.20580931,0.18925579,0.16633807,0.1467179,0.14006972,0.14994784,0.17145467,0.19366604,0.20833533,0.2141762,0.21657169,0.21986794,0.22426395,0.22551964,0.22001189,0.20681791,0.18884325,0.17063253,0.15632154,0.14728804,0.14240497,0.13956176,0.13754375,0.1360894,0.13525115,0.13491498,0.13492441,0.13512944,0.13517058,0.13489924,0.13500892,0.13775472,0.1452906,0.15753476,0.17009282,0.1768934,0.17418315,0.16468935,0.15597582,0.15655439,0.17008464,0.19359404,0.2176835,0.2320144,0.2307543,0.21751082,0.20222299,0.19440585,0.19608407,0.2026148,0.20788567,0.20887916,0.2056535,0.19931376,0.19165693,0.18471885,0.1799684,0.1767308,0.17408471,0.17312922,0.17726366,0.18849649,0.20462956,0.22027777,0.23067261,0.23369147,0.2297402,0.22015662,0.2079296,0.19703245,0.19134748,0.19144298,0.19452918,0.1966617,0.19576968,0.1921166,0.18665244,0.18008256,0.1728914,0.16612701,0.16068608,0.15712519,0.15551944,0.15652806,0.16091523,0.1688403,0.17892808,0.18954307,0.19953541,0.20894843,0.21740758,0.22488844,0.23098247,0.23576905,0.23717964,0.23243861,0.21936548,0.20066248,0.18270439,0.17295337,0.17465389,0.18598123,0.2009037,0.2132228,0.21836565,0.21464592,0.20241271,0.18442036,0.16550939,0.15200047,0.14892645,0.15696432,0.1708325,0.18140225,0.18127276,0.16958994,0.15263854,0.1385988,0.13157177,0.12932815,0.12682405,0.12121303,0.11390513,0.1082226,0.106154285,0.10715201,0.10970324,0.11281863,0.116343044,0.11994073,0.12266568,0.12329975,0.121700585,0.11993557,0.12256602,0.13452226,0.1573568,0.186913,0.2150596,0.23518346,0.24550462,0.24855356,0.2467187,0.2399205,0.22569948,0.20297539,0.17508198,0.15100408,0.14090262,0.15000445,0.17426479,0.20347917,0.22797616,0.24369347,0.25181016,0.25496885,0.25505653,0.25231668,0.24650382,0.23716424,0.22596748,0.21715806,0.21609141,0.22385001,0.23532625,0.24329185,0.24689518,0.2536606,0.27309582,0.30621088,0.3439153,0.37309027,0.38625944,0.38383064,0.37197986,0.3569487,0.34305716,0.3313097,0.3213961,0.31230688,0.30354652,0.2946286,0.28518498,0.27561507,0.26729652,0.2623018,0.26146933,0.26376307,0.26570714,0.26396754,0.25678325,0.24706405,0.23986612,0.24058156,0.24957411,0.26268423,0.27210104,0.27132955,0.2585468,0.23830865,0.2195129,0.20999986,0.21271785,0.22454715,0.23977119,0.25302747,0.261464,0.263846,0.26087204,0.25512114,0.25176874,0.2554601,0.26732597,0.28307235,0.2963412,0.3028572,0.3032768,0.30198422,0.30367985,0.31001326,0.31851646,0.32481626,0.32607818,0.32248363,0.31584385,0.30692503,0.29536235,0.28122935,0.2668458,0.25557348,0.24986877,0.24981041,0.25422943,0.26185334,0.27167606,0.2820928,0.29128072,0.29904148,0.30798045,0.32138517,0.33970222,0.35916576,0.37509608,0.38469875,0.3877997,0.38367295,0.37113357,0.34948584,0.32193962,0.29424182,0.27318656,0.26272905,0.26358438,0.27258256,0.2850459,0.2963051,0.3040175,0.30788064,0.30912825,0.30886748,0.307622,0.30493733,0.30050257,0.29520634,0.29140186,0.2911973,0.2947283,0.30056715,0.30734226,0.31409314,0.31836715,0.31547692,0.30119154,0.2758269,0.24554227,0.21870835,0.20136595,0.19436409,0.19505055,0.19926548,0.20412056,0.20787966,0.21060853,0.21299542,0.2165965,0.22257346,0.23133886,0.24158913,0.25167167,0.26082745,0.27028432,0.2810614,0.29279208,0.30355465,0.31224117,0.31878364,0.323244,0.32453272,0.32113793,0.31243816,0.30000782,0.28729972,0.2789909,0.27806714,0.2845031,0.29420474,0.30160543,0.30173728,0.29227102,0.27478084,0.25406355,0.23767973,0.23079175,0.23467796,0.24444894,0.254261,0.25937036,0.25976804,0.2590698,0.26457325,0.28396192,0.32002223,0.3662529,0.40804195,0.4320097,0.43356574,0.41875663,0.39716125,0.37588525,0.35708106,0.34043798,0.32553625,0.31265998,0.30233327,0.29491282,0.29108527,0.29170215,0.29762515,0.3078929,0.3204484,0.331743,0.34014305,0.34492818,0.34777048,0.34903464,0.3487834,0.34543562,0.33887616,0.33049858,0.32270518,0.3155922,0.3053137,0.28837883,0.26573008,0.24475157,0.23150004,0.22739662,0.2282152,0.23058234,0.2327441,0.2343511,0.23482865,0.2343815,0.23462808,0.23644233,0.23909657,0.23991561,0.2376162,0.23350553,0.23461531,0.25233653,0.29871914,0.37210426,0.45292652,0.50776553,0.5166909,0.4821554,0.42999795,0.3834599,0.35570422,0.34450874,0.34412888,0.34814367,0.3534075,0.35838294,0.36252668,0.3654927,0.36715594,0.3681911,0.36898974,0.36896145,0.3660775,0.35932848,0.3495314,0.34003174,0.3340005,0.3339355,0.33932295,0.3477871,0.35453454,0.35610095,0.35059878,0.3401704,0.32840165,0.3202195,0.31787908,0.32071027,0.32471853,0.32640192,0.32522452,0.32354763,0.3240243,0.32579437,0.32538673,0.3190131,0.30703503,0.29363278,0.28463325,0.28352103,0.2900937,0.30245015,0.3217061,0.354453,0.40760052,0.4775931,0.54583216,0.58767086,0.5897486,0.5578942,0.51121074,0.46772742,0.436761,0.41824055,0.40784368,0.40059456,0.3937522,0.38669,0.3799725,0.37359205,0.3673565,0.36220825,0.361156,0.3674341,0.38152555,0.40010628,0.41806963,0.43187857,0.44112563,0.4473679,0.4523388,0.45602062,0.45731294,0.45404503,0.44512466,0.43118033,0.41637233,0.40654114,0.40559492,0.41131422,0.41631162,0.41356158,0.40199506,0.38614997,0.3716514,0.36082506,0.3534409,0.34924257,0.34941852,0.35465622,0.36297783,0.369879,0.37393728,0.380941,0.40518293,0.45361483,0.517617,0.5685339,0.58464885,0.562632,0.52345556,0.48715875,0.46308234,0.44644988,0.43097207,0.41450894,0.39885947,0.38673785,0.37827393,0.37235665,0.36675608,0.36123887,0.35760605,0.3606213,0.3739499,0.39692035,0.42127314,0.43673992,0.4375125,0.42830804,0.41868392,0.41669664,0.42214772,0.4308189,0.4370191,0.43822515,0.433061,0.4226594,0.40915716,0.39597735,0.3854408,0.37799475,0.371901,0.36451235,0.35444736,0.34276637,0.332713,0.3266867,0.3251653,0.32651055,0.32972106,0.33428967,0.34062088,0.35011482,0.36648324,0.39570487,0.4377972,0.48489508,0.5195357,0.53142744,0.5193364,0.4948704,0.4681336,0.44648802,0.43062901,0.41829002,0.4057665,0.39097714,0.37658116,0.3671385,0.366249,0.37240493,0.3817073,0.39019892,0.3967053,0.4018575,0.40684995,0.41221333,0.41765943,0.4230933,0.429307,0.43736228,0.44669235,0.45414183,0.45622304,0.45160928,0.44248116,0.43267655,0.42630067,0.4265187,0.43442416,0.44814345,0.4625485,0.4721433,0.47268572,0.46283385,0.44262826,0.41416737,0.38113174,0.34949014,0.32504937,0.31237218,0.3124427,0.32306683,0.34079146,0.36567637,0.40393594,0.45933446,0.522525,0.56695,0.5678032,0.5214888,0.45058274,0.385452,0.343426,0.32433257,0.31774747,0.31569767,0.3151782,0.31857482,0.32814476,0.34351555,0.35950252,0.369578,0.37025145,0.3641131,0.35729828,0.35587373,0.36247516,0.3774337,0.39848945,0.4229941,0.44659838,0.4653642,0.47498226,0.4740455,0.46424222,0.4508481,0.43904528,0.43145463,0.42758957,0.42539355,0.42342496,0.4209036,0.41812202,0.41548285,0.41337034,0.41151,0.40906253,0.406122,0.40410534,0.40604007,0.4136988,0.42608425,0.4388057,0.4479085,0.45488617,0.46897626,0.5008242,0.55080724,0.60260576,0.6324009,0.6269512,0.59386134,0.5537762,0.52356625,0.5068426,0.4970152,0.48668087,0.47371268,0.46125963,0.45362958,0.45225397,0.45536685,0.4603449,0.4659333,0.47181198,0.47706512,0.4799695,0.47933468,0.47600463,0.47180757,0.46664882,0.4555205,0.4307129,0.38739574,0.33023322,0.2723154,0.22984354,0.21249901,0.21944188,0.23765028,0.24937312,0.24105935,0.21396528,0.1831011,0.1668805,0.17268215,0.19295727,0.21337216,0.22490323,0.22793795,0.22825192,0.2302423,0.23575217,0.24552901,0.2619752,0.28882146,0.33056626,0.38831094,0.4557829,0.5170283,0.5550872,0.5628839,0.54936486,0.5312541,0.52199465,0.52565974,0.5391247,0.55622786,0.5701289,0.5765024,0.5750645,0.5701441,0.56576324,0.56274074,0.55789,0.54794794,0.53194976,0.5115568,0.48915112,0.4671478,0.44855797,0.43785742,0.43852302,0.4494011,0.46307078,0.47053102,0.46738926,0.4567367,0.44540522,0.43933046,0.44013068,0.44573662,0.45134923,0.45254445,0.4474256,0.43815437,0.4292425,0.4246416,0.42540804,0.42950165,0.4336162,0.43513045,0.4335828,0.43034855,0.4276892,0.42762873,0.43267557,0.44758007,0.47761932,0.52318794,0.57247204,0.6061525,0.6083891,0.5807523,0.5385851,0.500765,0.476395,0.46475932,0.45960417,0.45565638,0.45058978,0.4449748,0.4403979,0.43764123,0.435611,0.4326724,0.4279306,0.42267045,0.41866836,0.4169307,0.41602036,0.4143242,0.41229582,0.4142314,0.42396045,0.4408897,0.45766008,0.46678165,0.4659227,0.46120813,0.46098652,0.47031108,0.4867815,0.5032732,0.51253027,0.5112826,0.50117344,0.48598436,0.4696075,0.4541849,0.44187295,0.43438253,0.43393466,0.44067147,0.45340678,0.46884918,0.48490444,0.50149184,0.52083343,0.54422706,0.5669884,0.57993895,0.57276636,0.545837,0.50847656,0.4771187,0.4613146,0.46323085,0.4754541,0.488917,0.4954367,0.49262655,0.48296055,0.470598,0.45746267,0.44283983,0.42672786,0.41172937,0.40161347,0.3979589,0.39898252,0.40144756,0.40405285,0.40818274,0.4166559,0.42870376,0.44003665,0.4439349,0.4388133,0.42806748,0.41940078,0.4176581,0.42397055,0.43504658,0.4462583,0.4534067,0.45468447,0.45177987,0.4484299,0.44828936,0.45185348,0.4566405,0.45874703,0.45617977,0.4496843,0.44181558,0.43413404,0.4268241,0.4210395,0.4226775,0.4413964,0.48247683,0.5373319,0.58396655,0.6013408,0.58575743,0.5531666,0.52521706,0.5131896,0.5141677,0.519268,0.5225031,0.5231914,0.5220406,0.519049,0.5136499,0.50695527,0.50097054,0.49724782,0.49631837,0.49846983,0.50424916,0.5131014,0.5238393,0.53488415,0.5463646,0.5569139,0.56411505,0.5625291,0.5500316,0.52694833,0.49862996,0.47082368,0.45084143,0.44426557,0.45316735,0.47324586,0.49570462,0.5120304,0.5175064,0.51232064,0.4999448,0.4856446,0.4738499,0.46727994,0.46714732,0.47463953,0.4880472,0.5013394,0.5063588,0.5030908,0.5028366,0.5189009,0.55104303,0.58111787,0.58979505,0.57198673,0.5413627,0.5139145,0.49803376,0.49141896,0.4896033,0.48901376,0.48795906,0.48483214,0.47871748,0.46989334,0.45922187,0.4469583,0.43246844,0.4164176,0.40259925,0.39649895,0.40102538,0.4135805,0.42846653,0.44238114,0.45552766,0.4693303,0.48093632,0.48650694,0.48374128,0.47623563,0.46897483,0.46557045,0.4660766,0.4679352,0.46802974,0.46306586,0.45276383,0.43935052,0.42768636,0.42023602,0.4164318,0.41295156,0.40835932,0.40284228,0.3965797,0.387187,0.3729719,0.3586752,0.35691246,0.38283673,0.43984547,0.51351315,0.5744553,0.59967655,0.58561945,0.5502643,0.51489747,0.49161896,0.47907695,0.47136557,0.4640046,0.4578029,0.45603466,0.461364,0.4722375,0.48343682,0.49016,0.4908501,0.48804674,0.4844778,0.4823545,0.48202392,0.48463842,0.49068668,0.50043464,0.5106406,0.5169518,0.5147642,0.5046452,0.4906797,0.47974965,0.47565576,0.4791477,0.48675922,0.4945147,0.4987714,0.49924436,0.49796882,0.49836412,0.5013709,0.5043784,0.50290054,0.49509764,0.4849858,0.47945878,0.48302817,0.49298295,0.5022859,0.5062733,0.5084091,0.51983005,0.54746133,0.58482134,0.61009264,0.60488534,0.5697153,0.5254123,0.4947329,0.48522452,0.4899367,0.49768576,0.5042231,0.5103564,0.5179918,0.5253046,0.5287233,0.5256159,0.51674503,0.5051775,0.4942156,0.4861884,0.48186037,0.48053452,0.48040095,0.4798472,0.4791433,0.47837794,0.47671804,0.4706227,0.458694,0.44218874,0.4255128,0.41168344,0.40150204,0.39433718,0.3895025,0.38715252,0.38721874,0.39042303,0.3978804,0.41132924,0.4306682,0.4527297,0.47147378,0.482028,0.48394927,0.4819334,0.48127317,0.48377883,0.48731753,0.48974702,0.49231508,0.4960053,0.49706307,0.485168,0.4528105,0.4022243,0.34650683,0.29974833,0.26934636,0.25419617,0.24851097,0.24638128,0.24365748,0.24023892,0.23849976,0.24179454,0.2490911,0.2563331,0.2581699,0.25427648,0.2476586,0.24361004,0.24448603,0.25035188,0.2568774,0.25748634,0.24403818,0.21345533,0.17022865,0.12641224,0.09386089,0.07923576,0.08289296,0.10125055,0.12847255,0.15584894,0.17556964,0.18345279,0.18137021,0.17271705,0.15938474,0.14082588,0.11682189,0.08952242,0.06298489,0.041389994,0.026865298,0.019047005,0.01577421,0.017532209,0.03127941,0.07389422,0.15933086,0.28588387,0.42171612,0.52659065,0.5730579,0.57151747,0.5506576,0.53886,0.5416241,0.5515268,0.5577492,0.5578866,0.5544434,0.5512855,0.54908323,0.54713815,0.54451996,0.5417468,0.53894997,0.5357547,0.53085214,0.5235006,0.5136865,0.5031648,0.49527064,0.49364662,0.49873504,0.5061818,0.5091822,0.5040162,0.49237916,0.47920167,0.4675509,0.457752,0.4492954,0.44420508,0.44550464,0.4539089,0.46506777,0.4716275,0.4679564,0.45300388,0.43048143,0.40590215,0.38514856,0.37192407,0.3672389,0.36856797,0.3733863,0.38282993,0.40439212,0.44632378,0.5071282,0.5682712,0.602397,0.59264356,0.5465099,0.48889425,0.44301602,0.4163513,0.4037093,0.39742717,0.39462402,0.39603052,0.40189674,0.40995026,0.4160668,0.4173366,0.41325068,0.4062116,0.39938757,0.39580396,0.39699197,0.40332437,0.41383246,0.4269848,0.4412825,0.4550184,0.4665028,0.47341916,0.47521162,0.4724306,0.46786666,0.46410894,0.46456754,0.4713454,0.48444653,0.4997585,0.51139075,0.5154214,0.51274306,0.5076962,0.5041191,0.5032199,0.504194,0.50681907,0.5111745,0.51612717,0.5174872,0.5111828,0.4977522,0.4862002,0.48875153,0.51155835,0.54397583,0.5645663,0.5543135,0.51539224,0.46600738,0.4285555,0.41077444,0.4087058,0.4126096,0.41737208,0.42174193,0.4271506,0.43457222,0.44394383,0.45369574,0.46212915,0.46818325,0.4721148,0.47403297,0.4740231,0.4720404,0.46966252,0.469209,0.47350296,0.48222426,0.49252987,0.49894023,0.49918452,0.49426284,0.48867404,0.48512957,0.48446262,0.48502532,0.485402,0.48405063,0.48126772,0.47833169,0.4773393,0.47828427,0.4791424,0.47724402,0.47189447,0.4644209,0.45701334,0.4509616,0.44695655,0.44556442,0.448855,0.4613994,0.48805928,0.5295202,0.5754926,0.6089292,0.61433977,0.59098333,0.55019283,0.5085171,0.47571373,0.45487198,0.44373798,0.43991986,0.4410275,0.44594958,0.45339242,0.4617276,0.46842143,0.47156847,0.47094902,0.4683579,0.466314,0.46700755,0.47120938,0.478523,0.48741093,0.49632946,0.5034666,0.5073417,0.50688225,0.5029696,0.4982704,0.49583423,0.4964337,0.49774528,0.49602333,0.48895168,0.47721872,0.46393332,0.4525771,0.44520152,0.44169986,0.44030496,0.43950427,0.4394865,0.44290587,0.45207095,0.46616673,0.47957268,0.4859047,0.481563,0.46704355,0.4421281,0.40467408,0.35308635,0.29240933,0.23324607,0.18598454,0.15443422,0.13630791,0.12709396,0.123256125,0.122099765,0.121448,0.12005284,0.118686765,0.11869657,0.12023723,0.12086464,0.11807092,0.11150878,0.1042398,0.09972962,0.09935122,0.10105482,0.101954974,0.100901574,0.10007849,0.1028645,0.11067226,0.12075134,0.1278897,0.12846561,0.123337746,0.116986156,0.113172114,0.111905836,0.10948878,0.10290539,0.09315208,0.08601136,0.087458886,0.098609865,0.11348959,0.1228711,0.12095559,0.108717,0.09217548,0.0770433,0.06609675,0.059094787,0.054974306,0.052976027,0.053179875,0.055884328,0.060728353,0.066052556,0.06957212,0.069930695,0.06775298,0.06525225,0.06463329,0.06668759,0.07024669,0.07311273,0.07370776,0.07242475,0.07117828,0.071524076,0.07318071,0.07444904,0.074311994,0.07384124,0.076057225,0.083631545,0.09664289,0.111426264,0.122320354,0.12491882,0.11902571,0.10888558,0.10083339,0.09897935,0.10261786,0.106261134,0.10453257,0.09638301,0.08694106,0.08350284,0.08977146,0.10242621,0.112712145,0.11337358,0.10336715,0.08943998,0.08103362,0.08620632,0.10579795,0.13307261,0.15475567,0.16041648,0.14768852,0.12473541,0.102476336,0.08942818,0.08751604,0.0941551,0.10364297,0.1107259,0.1122772,0.10867879,0.102345385,0.096207835,0.09238676,0.091501586,0.09263739,0.093768455,0.09367957,0.09306509,0.09435887,0.0997648,0.10917113,0.1197352,0.12679513,0.12700425,0.12003059,0.10906049,0.09789565,0.08894909,0.0822428,0.07686631,0.07198858,0.06741058,0.06316065,0.05928828,0.055743773,0.052478537,0.049482137,0.04678804,0.04445065,0.04250863,0.04099,0.039889578,0.039178837,0.038771126,0.038559083,0.03841896,0.03828158,0.038140837,0.038057964,0.03810205,0.0382736,0.038532525,0.038811177,0.03907245,0.039211217,0.03907551,0.038524862,0.037599664,0.0365413,0.035674114,0.03519057,0.035046205,0.035007183,0.03484511,0.03444666,0.033836037,0.03306946,0.032214522,0.031341344,0.030532738,0.029824818,0.02917368,0.028488725,0.027701074,0.02682575,0.025934706,0.02514515,0.024567401,0.02430071,0.024345838,0.024554083,0.024635533,0.024303636,0.023460185,0.022236504,0.020900043,0.01965878,0.018597856,0.017705398,0.016968502,0.016390778,0.01596637,0.015657607,0.015413791,0.015202518,0.0150090195,0.01481428,0.014592483,0.014322453,0.014016318,0.013698228,0.013391805,0.013100576,0.012844997,0.01275143,0.013102914,0.014285344,0.016364237,0.018731294,0.02011914,0.01947374,0.016771251,0.013108921,0.009772844,0.007396508,0.005831923,0.00470603,0.003794809,0.0030780537,0.0025385588,0.002133109,0.0017976953,0.0014957777,0.0012167168,0.0009657684,0.000762504,0.0006095563,0.0004998027,0.0004130617,0.00034016394,0.00027730086,0.00022655517,0.00018746832,0.0001597603,0.00014117382,0.00012890062,0.0001182722,0.00010652397,9.298586E-05,7.9980964E-05,6.9610775E-05,6.276799E-05,5.8577338E-05,5.568437E-05,5.329699E-05,5.1443447E-05,5.0609317E-05,5.086354E-05,5.1587816E-05,5.1731175E-05,5.068228E-05,4.8434944E-05,4.548387E-05,4.208482E-05,3.8446564E-05,3.474277E-05,3.146855E-05,2.901284E-05,2.754378E-05,2.695773E-05,2.70429E-05,2.7544755E-05,2.8039502E-05,2.8234785E-05,2.81143E-05,2.8202756E-05,2.8955228E-05,3.0454903E-05,3.1991603E-05,3.2720756E-05,3.203077E-05,3.009633E-05,2.7494867E-05,2.4920257E-05,2.274754E-05,2.1049622E-05,1.9752611E-05,1.8768706E-05,1.8108176E-05,1.770431E-05,1.7433844E-05,1.7080432E-05,1.6606211E-05,1.6151054E-05,1.6020604E-05,1.637277E-05,1.7147724E-05,1.7980607E-05,1.8445955E-05,1.8163742E-05,1.6975006E-05,1.4911108E-05,1.2225962E-05,9.4184325E-06,7.165076E-06,6.132893E-06]