[0.021696482,0.024428666,0.031397384,0.042959556,0.059455182,0.08048546,0.104311205,0.12776414,0.14695013,0.15771644,0.15681428,0.1432672,0.12107739,0.09898748,0.08802984,0.094915606,0.11912137,0.15281941,0.18731856,0.21687631,0.24030185,0.25692472,0.26442322,0.26009277,0.24384403,0.21954715,0.19076759,0.15974319,0.12835369,0.103833914,0.09682497,0.11544023,0.15704244,0.20950066,0.25812268,0.29435945,0.31710517,0.32987675,0.33591667,0.33722687,0.3347324,0.33008158,0.3258545,0.32538617,0.33107415,0.34232244,0.35498846,0.36264238,0.3597584,0.3437767,0.31662825,0.28417924,0.2546001,0.23385866,0.2228632,0.21682219,0.21027398,0.20044251,0.18888146,0.17798476,0.16908473,0.1616685,0.15488006,0.14837952,0.14267749,0.13903098,0.13876197,0.14194046,0.14687915,0.15066268,0.15143411,0.1490783,0.14510487,0.14084233,0.13694848,0.13342567,0.1302055,0.12776168,0.12769355,0.13324894,0.14715868,0.16855288,0.1915709,0.20944698,0.22000158,0.22591968,0.23089224,0.23535545,0.23966646,0.24559446,0.25672147,0.27341628,0.2930925,0.31151044,0.32534015,0.33171427,0.3292472,0.31992772,0.3099871,0.30574653,0.30939305,0.31746626,0.32553408,0.33130053,0.3355371,0.3394256,0.34372616,0.34872386,0.3538991,0.35717213,0.35499597,0.34491703,0.3270955,0.30418363,0.27986285,0.25876454,0.24652177,0.24714188,0.25950274,0.27661657,0.2905874,0.29768085,0.29934588,0.29917884,0.29983997,0.30295086,0.30828,0.31455123,0.31869975,0.31940565,0.3170574,0.31441772,0.31256652,0.31086025,0.30775532,0.3041573,0.303197,0.30686542,0.31378064,0.32030252,0.3245426,0.3269224,0.32829383,0.32862687,0.32828945,0.32933292,0.33379415,0.3411487,0.3481282,0.35091317,0.34778014,0.33921298,0.32694867,0.3126756,0.29753944,0.28256464,0.26887,0.25916025,0.25708544,0.26652873,0.28749964,0.3154869,0.34185493,0.35920915,0.36435077,0.35989574,0.35161766,0.34391525,0.33772698,0.3300513,0.32019773,0.3098859,0.3041393,0.3039472,0.30805457,0.31241825,0.31515265,0.31464353,0.31080517,0.30471292,0.2990383,0.29605666,0.2954633,0.29517642,0.2930398,0.28846988,0.28213298,0.275068,0.26833722,0.26165435,0.25385514,0.24282874,0.22834273,0.21126926,0.19385861,0.17740007,0.16430603,0.1582977,0.16413932,0.18330884,0.21084267,0.23698997,0.2521614,0.25284925,0.2414367,0.22378403,0.20490706,0.18797821,0.17406334,0.16307805,0.15436502,0.14785017,0.14441298,0.14582926,0.15342136,0.16716318,0.1846103,0.20090097,0.21047904,0.2105263,0.20472105,0.20088553,0.20563577,0.21765643,0.23088872,0.24013145,0.24672543,0.25486287,0.26669407,0.27975234,0.28955775,0.29406774,0.29516605,0.29806247,0.30628592,0.31802058,0.32570207,0.32259142,0.3104808,0.29962158,0.30107257,0.31606865,0.33637193,0.35017398,0.35161427,0.34153566,0.326323,0.3131555,0.3076285,0.3106058,0.3184712,0.32680973,0.333944,0.34081522,0.34638035,0.34649578,0.33795413,0.32310358,0.30932322,0.30208686,0.3016244,0.30341756,0.30366588,0.30115712,0.29780445,0.29618445,0.29771975,0.29981434,0.29824832,0.2904105,0.28093037,0.2768136,0.28270236,0.2943968,0.30477607,0.30894414,0.30927065,0.31089327,0.3167374,0.32391343,0.32692233,0.3237826,0.31988904,0.32398462,0.33923325,0.35831726,0.3692088,0.3656391,0.35143432,0.3349872,0.32141852,0.3111526,0.3032914,0.29852828,0.29753008,0.29912162,0.30046508,0.3000503,0.29897782,0.29984772,0.303038,0.30495647,0.29954597,0.28338173,0.26002723,0.23985167,0.23451038,0.24920182,0.27903107,0.31194326,0.3365064,0.3476559,0.34708762,0.3394383,0.32918927,0.31949142,0.3123131,0.30779985,0.30466613,0.30106857,0.2966602,0.2925538,0.290776,0.2923529,0.297549,0.3051859,0.31325504,0.31817374,0.31761333,0.31222475,0.30624387,0.30323163,0.30296,0.30227247,0.29883668,0.2936845,0.2892516,0.28737953,0.2878423,0.28967428,0.2915269,0.292672,0.29249638,0.29059264,0.2860808,0.27899575,0.271485,0.2685183,0.27448785,0.2898669,0.30954602,0.3268285,0.33732307,0.3410168,0.33999088,0.336481,0.33191743,0.32705358,0.32109293,0.31140172,0.29449603,0.269448,0.23924255,0.21035953,0.1884716,0.17634211,0.17277642,0.17520559,0.18117118,0.18958406,0.20001666,0.21174504,0.22260503,0.22897871,0.22727285,0.21673535,0.20123567,0.18898559,0.1880445,0.20130098,0.2228102,0.24172044,0.25010255,0.249798,0.25015506,0.2586477,0.27427948,0.28883788,0.29590926,0.29446724,0.28780046,0.2782669,0.26839417,0.26284862,0.26791057,0.28598657,0.31166068,0.33517554,0.34838974,0.34973466,0.3420596,0.32994702,0.31626388,0.30228934,0.28812683,0.2742196,0.262638,0.25642335,0.25829378,0.2672572,0.27927923,0.2888626,0.29357246,0.29442346,0.29456624,0.29581463,0.297418,0.29734388,0.29468963,0.29089978,0.2882221,0.28741324,0.28761902,0.28808722,0.2901962,0.29559264,0.30398563,0.31192133,0.31612888,0.31610712,0.31402445,0.3117312,0.3091729,0.30606654,0.3036131,0.30418023,0.30865332,0.314981,0.31927708,0.31832966,0.31134108,0.29952583,0.28481832,0.2689246,0.25319397,0.23889239,0.22737668,0.22098754,0.22238915,0.23390691,0.25436795,0.27987185,0.303956,0.32174286,0.33031413,0.33053544,0.32506475,0.31690088,0.3072908,0.29599455,0.2845092,0.27620494,0.27527198,0.28130236,0.29086664,0.29919422,0.3045797,0.30680215,0.30705154,0.30751705,0.3111669,0.31911254,0.32822007,0.33341798,0.3315915,0.32422245,0.31483185,0.30630648,0.29866722,0.2897642,0.27600893,0.25514528,0.2280794,0.19940287,0.17411882,0.15514039,0.1428886,0.13840224,0.1436906,0.15959896,0.1815009,0.20064346,0.20888613,0.20473532,0.19297145,0.180568,0.17160712,0.16634679,0.16290317,0.15978108,0.15686707,0.15502046,0.15480377,0.15557306,0.15576188,0.1540638,0.15060396,0.14657544,0.14373688,0.14371072,0.14861453,0.15959944,0.17541003,0.19141382,0.20326929,0.21117027,0.21970473,0.23272927,0.2474618,0.25655016,0.2533681,0.23866098,0.22002088,0.20900662,0.21361648,0.2334748,0.25839016,0.2760018,0.28045115,0.27645734,0.27357697,0.2779437,0.28851712,0.30010995,0.3085387,0.31323013,0.31572378,0.31769267,0.3187525,0.3179264,0.31642172,0.32045162,0.33872104,0.37142614,0.40599766,0.42102835,0.40755573,0.37423906,0.34329787,0.3282514,0.3295208,0.33701578,0.3436257,0.34768295,0.351325,0.35538968,0.358449,0.35949302,0.36034527,0.36620387,0.3803208,0.39966956,0.41440222,0.4157927,0.40350226,0.3862245,0.37360057,0.36945578,0.3709196,0.37395075,0.3766633,0.38048312,0.38875353,0.40501854,0.43018064,0.45625654,0.46963942,0.4578488,0.42499492,0.3870189,0.36247024,0.35506245,0.35689998,0.35558686,0.345722,0.33070353,0.32063273,0.32724592,0.3556334,0.40008926,0.44377592,0.4696236,0.46971503,0.4496671,0.42342046,0.40395364,0.39940044,0.4069469,0.4176477,0.41745737,0.40249535,0.37839448,0.36043903,0.35770872,0.3705567,0.38989827,0.4058753,0.41234776,0.4087298,0.3986094,0.3863057,0.37488294,0.36648628,0.36357847,0.37054768,0.38760915,0.40871277,0.41896048,0.40741768,0.37312183,0.32964596,0.29325294,0.27516016,0.2763181,0.29131734,0.312518,0.33315313,0.34883633,0.35815886,0.3623236,0.36492822,0.3700651,0.38193688,0.3993596,0.41688165,0.4248451,0.42003283,0.40500477,0.387889,0.37295136,0.36089733,0.3495908,0.3379954,0.3267719,0.31945348,0.3222847,0.3426375,0.37916026,0.41844475,0.43691865,0.4212644,0.37636778,0.32431605,0.28475377,0.26618874,0.26572487,0.27695158,0.29436913,0.31442228,0.33657947,0.36129713,0.38585663,0.4014032,0.39789662,0.37423822,0.34111902,0.31522968,0.30754784,0.32151172,0.35060647,0.38459924,0.40856814,0.41549122,0.40579763,0.39022067,0.3763888,0.36746907,0.360509,0.35357878,0.34669462,0.34059533,0.3347654,0.32736215,0.31948042,0.31435552,0.3182404,0.33427584,0.36343566,0.39749685,0.42377615,0.42728052,0.40620255,0.37110472,0.3406028,0.32497755,0.3239547,0.32926953,0.33402058,0.33580723,0.33677962,0.34007886,0.3466798,0.3551606,0.36412156,0.37484357,0.38891968,0.404062,0.41279975,0.40860972,0.39322877,0.3765354,0.36851966,0.3707943,0.37716225,0.38056758,0.3790516,0.3761637,0.37722757,0.38712707,0.40705267,0.4321051,0.45080456,0.45148525,0.4319822,0.4016529,0.37496188,0.35983536,0.35549846,0.35597864,0.35708877,0.35838315,0.36272672,0.37459862,0.39523807,0.4196897,0.4354904,0.43259516,0.40953252,0.37658814,0.34715232,0.3321764,0.3371656,0.3596265,0.3905557,0.414513,0.42251158,0.41255772,0.39233413,0.36790612,0.3455529,0.32882312,0.3216299,0.32319888,0.3301448,0.33721152,0.34270057,0.34699675,0.35325345,0.3644521,0.38373414,0.4095092,0.4335955,0.44271663,0.42838636,0.394163,0.3532542,0.31898585,0.2973952,0.289547,0.29442966,0.30982056,0.3296398,0.34597817,0.3539633,0.35442796,0.35341454,0.35697412,0.36967143,0.38852003,0.4063356,0.41201484,0.4032589,0.38457295,0.36741734,0.35757148,0.35582605,0.35812625,0.36153495,0.3645755,0.3676087,0.37255764,0.38232625,0.3961599,0.4083197,0.40857923,0.39245686,0.36288473,0.33045712,0.30405763,0.28944525,0.2875382,0.29615167,0.30997062,0.3238959,0.33755302,0.35481727,0.37721694,0.39858392,0.40857002,0.402825,0.38597035,0.36889422,0.3601713,0.36578998,0.38385308,0.40695074,0.42146233,0.4209446,0.4080284,0.39387885,0.38516343,0.38163355,0.3781017,0.37068614,0.35881865,0.34389505,0.32875696,0.31645167,0.31004968,0.31087768,0.31963643,0.3367314,0.36342463,0.39493155,0.42061758,0.42571414,0.40818158,0.3786529,0.3561957,0.34931746,0.35550728,0.36521292,0.37192884,0.3724357,0.36588967,0.35404667,0.34226885,0.33635628,0.33754635,0.3413616,0.3436112,0.34458044,0.34807327,0.3547236,0.3611218,0.36299983,0.36149076,0.36199757,0.36987004,0.384186,0.39792085,0.40228853,0.39299572,0.37299892,0.35000762,0.33151087,0.31995893,0.31328246,0.30837652,0.30565223,0.3080605,0.3175584,0.33142355,0.34479967,0.35432795,0.36095726,0.3669429,0.3736173,0.3800147,0.3848656,0.3863647,0.38220462,0.36935464,0.3473846,0.3203448,0.29688492,0.2855524,0.2906421,0.30917948,0.33296487,0.35253254,0.36279777,0.36442843,0.36219534,0.36014083,0.3596762,0.3599782,0.36006388,0.35989645,0.3598636,0.36070785,0.3626311,0.36566743,0.36897933,0.37169847,0.37314096,0.37354574,0.3735489,0.37360564,0.37346426,0.37230375,0.37074783,0.37225187,0.3833835,0.4065894,0.43564668,0.45527694,0.45509803,0.43742564,0.41676518,0.40620664,0.41080466,0.42899147,0.45527792,0.48026744,0.4917362,0.4846513,0.46808288,0.45581853,0.45237854,0.4452734,0.42322835,0.38595238,0.34782544,0.32214442,0.3172346,0.33513546,0.37077463,0.4108524,0.43599078,0.43838748,0.42375398,0.40720928,0.39426675,0.38496402,0.37976134,0.38387617,0.39723113,0.4088663,0.408391,0.3945278,0.37756154,0.36707592,0.36921605,0.3872353,0.41829857,0.45241868,0.47245964,0.4731748,0.46055558,0.44822952,0.4384755,0.42932883,0.42080507,0.4188367,0.42258218,0.41998515,0.39950442,0.36409056,0.3312116,0.3163401,0.3214583,0.3370824,0.3536633,0.3680799,0.384187,0.40744165,0.44179773,0.48188075,0.5156314,0.5275629,0.51422733,0.48296466,0.4490788,0.42101416,0.40133175,0.38736543,0.3777933,0.3718756,0.37078285,0.37765828,0.39399013,0.41521573,0.4296806,0.42902935,0.41550612,0.3991288,0.38616526,0.37387106,0.35842654,0.34085926,0.32712814,0.32029223,0.32030085,0.32661867,0.3395892,0.358472,0.37947312,0.4006807,0.42295018,0.44686905,0.46652266,0.47155777,0.4588246,0.4365032,0.4198524,0.41558662,0.41965866,0.42140555,0.41481102,0.40219024,0.39249167,0.39658132,0.41700813,0.44612607,0.46657297,0.4677837,0.449204,0.4218351,0.39579526,0.3793584,0.37750462,0.3895553,0.40763974,0.4168521,0.41042325,0.39122042,0.37205252,0.360261,0.35753202,0.35988978,0.36467266,0.37010285,0.3755622,0.3808384,0.38626337,0.39194164,0.39839008,0.40716,0.4216605,0.44265518,0.46592832,0.48116025,0.48066345,0.46419373,0.44046807,0.41872764,0.40345845,0.39397144,0.38847136,0.3871349,0.39179435,0.40521166,0.4294717,0.46123016,0.49093127,0.5045538,0.49754414,0.47501945,0.45080233,0.43072888,0.4166882,0.40623784,0.4026147,0.40689254,0.41735777,0.42660752,0.42826748,0.42028788,0.4077616,0.40027848,0.40805498,0.4324237,0.46513078,0.4900217,0.49857607,0.4911046,0.47708556,0.4627234,0.45148838,0.44340217,0.43864143,0.4372182,0.44134316,0.45635483,0.48626733,0.5242104,0.55222136,0.55097646,0.51805395,0.46688032,0.41835007,0.38397837,0.3687267,0.37098446,0.3880023,0.4098686,0.42658207,0.43056622,0.4238243,0.41134298,0.399362,0.39075562,0.38680673,0.38567913,0.38468686,0.38231876,0.38099864,0.38452408,0.39416087,0.40729335,0.42139485,0.43815613,0.4591588,0.48068938,0.4909623,0.4824603,0.45800838,0.43232283,0.41710445,0.41461313,0.41636506,0.41337848,0.40343276,0.39300963,0.39247358,0.4057242,0.4263419,0.44105887,0.4436275,0.43978623,0.4403421,0.44796446,0.45432565,0.45110938,0.43841672,0.42483032,0.41736373,0.41707313,0.4190787,0.4177662,0.41051158,0.4003906,0.39511338,0.40173006,0.41948116,0.43896365,0.44866124,0.4453983,0.43453178,0.42480913,0.41920188,0.4165494,0.41353402,0.40902734,0.4044814,0.40508905,0.41949856,0.449311,0.4839821,0.49960157,0.48168322,0.43437624,0.38203824,0.34614477,0.3364865,0.34960446,0.37708655,0.4083053,0.43100917,0.4386408,0.43279007,0.42349267,0.41783693,0.41772917,0.41989806,0.42245194,0.42487392,0.4277865,0.4308362,0.43323264,0.43333122,0.43149963,0.43092456,0.43920526,0.45983875,0.48787534,0.50714,0.5048633,0.48042086,0.44860148,0.42532456,0.4180641,0.42269114,0.43072137,0.43559492,0.43734932,0.44193888,0.45827422,0.48627484,0.51615214,0.5299879,0.52412266,0.5055996,0.4905587,0.48007,0.46978948,0.45226195,0.43147442,0.41381,0.4058641,0.41050723,0.42638597,0.4486108,0.46818292,0.48177406,0.49202514,0.5043323,0.5157254,0.5151716,0.4960188,0.46300697,0.4313538,0.41151512,0.40608743,0.4103774,0.41800848,0.42306462,0.4216315,0.41901183,0.425112,0.44689783,0.47578886,0.4948704,0.49239823,0.47101283,0.44238484,0.41657972,0.40000546,0.3954039,0.40272295,0.41679907,0.43154404,0.44480345,0.45754552,0.4694765,0.47563815,0.47471604,0.46973073,0.46760967,0.46870252,0.4706638,0.47164938,0.47390816,0.47843134,0.48270717,0.4863943,0.49450573,0.5109755,0.52904576,0.53047377,0.5040788,0.45376477,0.39940122,0.35714126,0.33482754,0.330331,0.3389653,0.35540196,0.3759679,0.40195027,0.43603364,0.4748192,0.5053094,0.51423377,0.50301147,0.48498857,0.473354,0.46699667,0.45895132,0.44485644,0.42899957,0.41549397,0.40603063,0.39936456,0.39668322,0.4000976,0.41313776,0.4379039,0.4745107,0.5150121,0.5459959,0.5540188,0.53923535,0.51179713,0.4856015,0.46482444,0.4486346,0.4343675,0.42308483,0.4166998,0.41786516,0.43042192,0.45463848,0.48419538,0.50427055,0.504606,0.48500857,0.4567425,0.43121633,0.41517308,0.41114292,0.41647997,0.42541075,0.42719984,0.41767517,0.3991172,0.38119912,0.36970207,0.36606786,0.36817968,0.37406603,0.3821408,0.38998008,0.3964387,0.40150607,0.4060416,0.41009185,0.41486776,0.4250199,0.4436796,0.46570122,0.4759594,0.46287677,0.429953,0.39439678,0.3716086,0.3640509,0.36426392,0.36466575,0.36341295,0.36504367,0.3767296,0.406917,0.45289055,0.5017715,0.5307224,0.5329135,0.515258,0.49704608,0.48321047,0.4707373,0.45205048,0.4299465,0.4103007,0.39780554,0.39162996,0.3888557,0.3879898,0.39000794,0.39899948,0.42008623,0.4545026,0.49457955,0.523995,0.5301592,0.513455,0.4878577,0.4673399,0.45773745,0.45751253,0.46280113,0.47089064,0.4792441,0.49015477,0.5077033,0.53212947,0.5518591,0.54947686,0.5172283,0.46357584,0.40943217,0.37242615,0.3629495,0.3792108,0.41161916,0.44319072,0.46090996,0.46049592,0.44861007,0.43308988,0.41906527,0.40787375,0.40188852,0.4036024,0.41386977,0.42995277,0.44831228,0.46698204,0.48554847,0.5041699,0.5226572,0.54257613,0.56297636,0.5797815,0.58363086,0.5703547,0.5429242,0.51216036,0.48632002,0.46923757,0.4607794,0.46058157,0.46867433,0.48549435,0.51316446,0.5518308,0.59388447,0.62236696,0.621919,0.5922317,0.54789704,0.5048914,0.4683319,0.4344648,0.39940667,0.36356923,0.33004773,0.30214706,0.28322113,0.2757157,0.28056476,0.29739872,0.32646444,0.3658309,0.4068192,0.4335532,0.43290994,0.40652177,0.3697089,0.3405297,0.3267531,0.3278025,0.3380427,0.35196579,0.3637416,0.37315133,0.38813356,0.41769922,0.45944476,0.49490014,0.5056597,0.488176,0.45635268,0.4269339,0.409521,0.40733203,0.4185104,0.43717304,0.45009887,0.44750574,0.42735294,0.3997095,0.37535456,0.36216143,0.36140537,0.37138316,0.387532,0.40500566,0.4214131,0.43808934,0.45461592,0.4657792,0.46386015,0.45106244,0.43857527,0.43893063,0.4510137,0.465894,0.4757248,0.48282078,0.49223208,0.5077782,0.5301122,0.558991,0.5876579,0.60267735,0.5903248,0.55172426,0.50247127,0.4635358,0.44472718,0.44542292,0.45718035,0.47288004,0.48508123,0.49119744,0.49088237,0.48813197,0.4854081,0.48559034,0.4915081,0.50503784,0.52243125,0.5330353,0.5272276,0.5044964,0.4745749,0.45008966,0.4386545,0.4429805,0.46102163,0.48707247,0.5103682,0.5200243,0.5121345,0.49178278,0.4694991,0.4519776,0.4400998,0.4285778,0.41225955,0.38885581,0.36148837,0.33495137,0.31161883,0.28909007,0.26438865,0.23939745,0.22193064,0.21956564,0.23225422,0.25146732,0.26649237,0.27237305,0.27177188,0.27092135,0.2742385,0.2816935,0.2910456,0.30050436,0.31119478,0.32404152,0.33750403,0.34695077,0.3528078,0.3646718,0.3985506,0.4582584,0.52751374,0.5749878,0.58260494,0.5560756,0.5201047,0.49283877,0.47830638,0.47029224,0.46524084,0.4635221,0.46634957,0.4718072,0.47693527,0.47975612,0.48123422,0.48373207,0.48889744,0.4951489,0.49816155,0.49414727,0.48311338,0.46808183,0.45247886,0.4380509,0.42648017,0.41874325,0.41406298,0.40942633,0.4042858,0.40389213,0.41451585,0.4338821,0.4478058,0.44143856,0.41334596,0.3776149,0.3513014,0.34039572,0.3386861,0.33603916,0.32809672,0.3195213,0.32126883,0.34490266,0.39032957,0.4420564,0.47224665,0.46395278,0.42085323,0.36701098,0.3251487,0.3077912,0.31503072,0.34050885,0.37332496,0.40196225,0.4223871,0.43954536,0.45907974,0.47668687,0.47956583,0.46138513,0.42919362,0.39920935,0.3827928,0.3829818,0.3974364,0.41999447,0.44267467,0.45681772,0.4636824,0.47026893,0.48157275,0.48965994,0.48237085,0.4579657,0.4281553,0.4081812,0.40171966,0.4031655,0.40440205,0.40301776,0.4023229,0.40831792,0.4280633,0.4597583,0.49376044,0.5119693,0.50836575,0.48620042,0.4588946,0.43039832,0.40282062,0.37553152,0.35374036,0.3404348,0.33700955,0.34292462,0.356181,0.3727465,0.38659605,0.3975693,0.4116956,0.4339144,0.4575639,0.46541807,0.44733465,0.4097825,0.3734461,0.3540765,0.3548158,0.36787274,0.38261318,0.39152205,0.393079,0.39612675,0.41333723,0.44840348,0.48700842,0.5046302,0.48881927,0.44693518,0.40142676,0.37011358,0.3605713,0.36785677,0.38193336,0.3924938,0.39619973,0.3977442,0.4032465,0.41422296,0.42572227,0.4356322,0.44436863,0.45422184,0.46238372,0.4669721,0.46961835,0.47402108,0.47936186,0.47838882,0.4656323,0.44148636,0.4126954,0.38529846,0.36308718,0.3474824,0.33942938,0.33836278,0.342034,0.34697446,0.3508073,0.3524206,0.35153365,0.34744105,0.34008607,0.33113125,0.32434955,0.32359514,0.33041552,0.34257635,0.35441706,0.36000156,0.35586372,0.34387362,0.32869694,0.3152006,0.3043199,0.29387274,0.28047273,0.26276812,0.24273354,0.22519173,0.21618621,0.2206443,0.23923576,0.26724777,0.29519215,0.31469047,0.32195726,0.32027808,0.31623852,0.3159822,0.32041147,0.32435116,0.32011434,0.30452654,0.28314424,0.26776144,0.26791474,0.28488508,0.3104144,0.33332813,0.34467578,0.34180784,0.32599965,0.30120292,0.27209073,0.24406461,0.22215794,0.21015416,0.21089868,0.22499229,0.24970889,0.2767392,0.2957618,0.2992031,0.28684035,0.26568714,0.2459908,0.23823963,0.24697979,0.27033904,0.29858384,0.3222233,0.3344358,0.33470216,0.32480514,0.3099899,0.29683784,0.29201603,0.29662356,0.30653492,0.316136,0.32377374,0.3301927,0.33426133,0.33098373,0.3168167,0.29408333,0.27121758,0.25545427,0.24972634,0.25218233,0.26102266,0.27477428,0.29206052,0.30978516,0.3237354,0.33022317,0.32700458,0.3148491,0.29480663,0.26993218,0.24302483,0.2217787,0.21327452,0.22375315,0.25012657,0.28437027,0.31461242,0.3335888,0.33792827,0.32906878,0.31039307,0.28921834,0.2750491,0.27552572,0.28923777,0.30585274,0.31200215,0.30133435,0.27775186,0.2535661,0.2409742,0.24521582,0.26233053,0.2849104,0.3103963,0.3430178,0.3877537,0.44157004,0.4930738,0.5299614,0.5476783,0.5502145,0.54512304,0.5379221,0.5310803,0.5248885,0.5193656,0.51458406,0.5113471,0.5104982,0.51262206,0.51940745,0.5350215,0.56529754,0.6086998,0.65134615,0.6712005,0.6560857,0.6135649,0.5646546,0.52678686,0.504644,0.49437416,0.49074408,0.48990843,0.48869035,0.484632,0.47787416,0.47085428,0.46738127,0.4702197,0.4804463,0.4951369,0.50917584,0.51612574,0.5149219,0.50797945,0.50093776,0.49526596,0.4904966,0.48451614,0.47771475,0.4723685,0.47396997,0.4902691,0.52656937,0.5761137,0.61897725,0.63230246,0.61003196,0.56493974,0.5189718,0.4848847,0.4657097,0.45845768,0.46048293,0.46906188,0.48347566,0.50692374,0.54100895,0.5784735,0.6012574,0.59566724,0.563909,0.52401644,0.49386612,0.48118284,0.48415956,0.49706975,0.51362365,0.5262067,0.530242,0.52537477,0.51648456,0.50784844,0.5018063,0.49813697,0.49588832,0.49350438,0.48834637,0.47775212,0.4596847,0.43507138,0.40887043,0.39138007,0.39460433,0.42462632,0.4729284,0.51819104,0.53852844,0.5268437,0.4920278,0.44977966,0.4110656,0.38180232,0.3657111,0.3653935,0.37858132,0.39719403,0.41219512,0.4190699,0.42146108,0.42621398,0.4392605,0.45715716,0.47057202,0.46810374,0.44934285,0.42334366,0.40350497,0.39523503,0.39566553,0.39891025,0.40244412,0.40730143,0.4157984,0.430288,0.4547591,0.48895565,0.5255115,0.54702854,0.54085416,0.50666624,0.4593636,0.41655418,0.39065036,0.38695514,0.40196863,0.42649755,0.44749245,0.46148142,0.4733846,0.48975286,0.50591904,0.5099552,0.49700293,0.47394407,0.45510587,0.44723606,0.4504826,0.45759213,0.4621607,0.4590805,0.45110503,0.44664767,0.4530094,0.46871504,0.4838967,0.49202788,0.4930855,0.49171767,0.48803392,0.48071906,0.47129288,0.46432975,0.461791,0.46028468,0.4594555,0.46506885,0.48374948,0.51078635,0.5308452,0.53117585,0.5129698,0.48915336,0.47227088,0.4665531,0.4698757,0.4773406,0.48609686,0.49462295,0.5059386,0.5229323,0.5446349,0.5624499,0.56680304,0.5567413,0.54003096,0.5257916,0.514682,0.5029809,0.4888253,0.4769356,0.47325423,0.4807781,0.49787602,0.5198243,0.5388446,0.54642844,0.5385887,0.5206251,0.50429356,0.4985826,0.503431,0.51067996,0.5123761,0.5051025,0.4913284,0.47400007,0.4553086,0.43593577,0.41961858,0.41288212,0.4232719,0.45041716,0.48341092,0.5037727,0.50074095,0.4797312,0.45994744,0.45950606,0.4820505,0.5169332,0.5445039,0.5509017,0.53134483,0.4962673,0.46050248,0.43856227,0.4335444,0.44079304,0.450103,0.45510936,0.454607,0.4532924,0.45458767,0.45793256,0.45871902,0.4552602,0.45227572,0.45820633,0.4782231,0.5077382,0.53557366,0.5499066,0.5477385,0.53374,0.5170195,0.5038957,0.49701345,0.49525455,0.49545705,0.49541065,0.49579537,0.50059843,0.51019233,0.52005386,0.5225129,0.5179978,0.51270884,0.51386017,0.5183143,0.51903296,0.51063913,0.4965228,0.48318186,0.4779806,0.4858509,0.50804025,0.536835,0.55766815,0.55751437,0.5373141,0.50978863,0.4900916,0.4835833,0.48785838,0.49717593,0.507623,0.51558876,0.5181063,0.5144523,0.5072654,0.5010401,0.49794838,0.49775442,0.49844894,0.49905685,0.4979993,0.49406984,0.48724842,0.4814047,0.4817917,0.49147257,0.50826305,0.5251765,0.53345346,0.52656025,0.5058932,0.48088965,0.4636375,0.4594117,0.463698,0.4674594,0.46457207,0.4557236,0.44560203,0.43925038,0.43884802,0.4437839,0.45181128,0.46193886,0.47502375,0.49337587,0.5146002,0.53117734,0.53202194,0.5137771,0.48280945,0.45267582,0.43334183,0.4276606,0.43260333,0.44373143,0.4579006,0.47402933,0.49214712,0.5108779,0.5255342,0.5310836,0.52666235,0.5183223,0.51331973,0.51530653,0.52140945,0.52763844,0.53022146,0.5273257,0.517548,0.5036817,0.492913,0.49310467,0.50464946,0.51825154,0.5210929,0.50690514,0.48053196,0.4550226,0.44382036,0.4538312,0.4809203,0.5124173,0.5348441,0.5438278,0.54484123,0.5470851,0.5543623,0.56481355,0.5733071,0.5749466,0.5647468,0.5398894,0.5027783,0.4622097,0.42987135,0.41540733,0.42254224,0.4483948,0.48284078,0.5131174,0.5282213,0.52563184,0.50937575,0.48703742,0.4642433,0.44505635,0.43210146,0.42660776,0.42675975,0.42782617,0.4254117,0.41837668,0.41021296,0.4062955,0.41193417,0.42931783,0.455326,0.47956446,0.48904264,0.4772363,0.45087376,0.42437446,0.40919968,0.40615955,0.4099171,0.41471425,0.41833544,0.42101434,0.42535093,0.43541503,0.45260474,0.4723384,0.4856539,0.48812363,0.48323116,0.4785426,0.4761289,0.47315314,0.46664393,0.45949194,0.45694473,0.4623575,0.47471532,0.4883037,0.49583042,0.4912994,0.47823608,0.46854922,0.47476366,0.49621677,0.51792854,0.5230879,0.50695765,0.47828767,0.44980267,0.42941824,0.42078796,0.42172813,0.42728695,0.429065,0.42726064,0.42883715,0.44263443,0.46487832,0.482383,0.48392496,0.4698105,0.44959536,0.43225065,0.42355958,0.42413545,0.43128088,0.43813547,0.44099805,0.4433775,0.4537605,0.47545186,0.50047904,0.51705664,0.51755923,0.5050425,0.48711196,0.47351655,0.47037435,0.47752318,0.48652816,0.48651245,0.47554633,0.4639856,0.46542093,0.48242834,0.50350815,0.5149214,0.51157486,0.49921373,0.48620662,0.47907755,0.48103842,0.49181417,0.506401,0.5159996,0.51330453,0.4962108,0.46876502,0.4388038,0.41584042,0.40734807,0.41300333,0.42365658,0.42599046,0.41413084,0.39182618,0.36884138,0.3502911,0.33484146,0.31679574,0.29185787,0.26068124,0.23188418,0.22150046,0.24392708,0.2962162,0.35345837,0.38306877,0.37285495,0.33832356,0.30896375,0.30273965,0.32039535,0.3523246,0.38566267,0.40918788,0.416213,0.4162139,0.42361093,0.44535407,0.46420026,0.45805836,0.4179366,0.35825372,0.30226007,0.26726097,0.2623612,0.28456166,0.32274696,0.35420814,0.36277795,0.344865,0.3153945,0.29076436,0.27962944,0.27836117,0.2790531,0.27618518,0.26888117,0.25983468,0.25252512,0.2499469,0.2547761,0.27128616,0.30609253,0.36112627,0.4274653,0.48405895,0.51313585,0.5111458,0.4916209,0.47155568,0.4633378,0.4719341,0.49767312,0.53314596,0.56365013,0.5727122,0.55563945,0.5210692,0.4858605,0.46100307,0.45088837,0.45094344,0.45429358,0.44993636,0.43308476,0.40390515,0.37057173,0.33741114,0.30667773,0.27720508,0.25237384,0.23644029,0.23518343,0.2519802,0.29022095,0.34392294,0.3959396,0.41969967,0.403031,0.35781106,0.3139929,0.29389274,0.30037716,0.3247373,0.35600683,0.38702843,0.40963075,0.42351174,0.43463123,0.44926098,0.46029213,0.45066047,0.4130323,0.35838255,0.31192872,0.29025683,0.29702353,0.3197148,0.34175268,0.34601077,0.3282496,0.29867625,0.27890727,0.2843028,0.31390172,0.3498925,0.37180683,0.36662903,0.3360941,0.2908951,0.24954061,0.22686797,0.23094802,0.25719658,0.29831642,0.34966838,0.40810415,0.46404472,0.50083995,0.5089172,0.49333283,0.47092998,0.4542344,0.44628784,0.44243693,0.43818054,0.43191275,0.42551443,0.42367852,0.42957616,0.44223407,0.45520568,0.46335343,0.4666034,0.46822932,0.46915355,0.46521822,0.45453563,0.4400817,0.43013206,0.42908835,0.43674898,0.4485693,0.46051607,0.46903846,0.4719193,0.46840334,0.46015212,0.4495428,0.43912864,0.4300653,0.42417577,0.42188287,0.42309234,0.42477003,0.42443195,0.42118016,0.4179844,0.4188763,0.42651257,0.4399159,0.45453718,0.46336243,0.46024325,0.44421268,0.42200842,0.4038311,0.39788318,0.40548286,0.42462063,0.44947585,0.47348127,0.48700795,0.48591983,0.47292456,0.45864305,0.45037135,0.44823286,0.44609997,0.43952906,0.42895174,0.41977075,0.4195651,0.4356219,0.46553072,0.4967443,0.51047236,0.5028673,0.48443556,0.4733939,0.47281528,0.47464845,0.4673721,0.4498887,0.42738572,0.40807196,0.39912283,0.40664682,0.42992607,0.45961094,0.480661,0.4844955,0.47256598,0.45540464,0.4424704,0.4404594,0.44862965,0.46237373,0.47231922,0.4736453,0.4658483,0.4537059,0.44014892,0.4290742,0.42635766,0.43861327,0.46361694,0.48767138,0.49354157,0.4765348,0.44776127,0.4261283,0.42176405,0.43276063,0.44866255,0.46132955,0.46796545,0.4717288,0.47747302,0.48667416,0.49608827,0.4989922,0.49531767,0.49092865,0.49350706,0.4992868,0.49694037,0.4776937,0.44652805,0.4173102,0.40164474,0.40238646,0.41398036,0.42767516,0.43508133,0.4343382,0.43055323,0.42968544,0.43188396,0.4305853,0.42444357,0.41747478,0.41739467,0.42311478,0.4304683,0.4354168,0.43850783,0.4391851,0.4331862,0.41689596,0.3901498,0.35789213,0.3248303,0.29446045,0.2677109,0.24435954,0.22328337,0.20385285,0.1862833,0.17178322,0.16138615,0.15599231,0.15578331,0.16011503,0.16663696,0.17164294,0.17099111,0.16194862,0.1445481,0.12268766,0.1035554,0.09471703,0.09942957,0.11353602,0.12759773,0.13352132,0.130481,0.12615152,0.13074881,0.15003438,0.1800109,0.21021326,0.2301988,0.23601802,0.23038717,0.21913612,0.20765685,0.19879024,0.19312443,0.18906339,0.1842945,0.17614003,0.16270448,0.144111,0.1244477,0.11194458,0.11396245,0.13116242,0.15384464,0.16845371,0.16491155,0.14393951,0.11446687,0.09018747,0.080636255,0.08752114,0.10242555,0.1150586,0.11982367,0.1204384,0.12342302,0.13224821,0.14339237,0.15088956,0.15076643,0.14435042,0.13574605,0.1285794,0.12264285,0.1151269,0.10569065,0.10240566,0.12262698,0.17994022,0.27051246,0.36667073,0.43647245,0.46370137,0.45799434,0.43980464,0.42407942,0.41409943,0.40737358,0.40286878,0.4009761,0.40130174,0.40134415,0.39866853,0.39420858,0.3914806,0.39546838,0.40601206,0.41893956,0.42526165,0.42144242,0.4086747,0.39474416,0.3845025,0.38049233,0.38210902,0.38974336,0.403531,0.42328596,0.44917902,0.48273084,0.5218552,0.5560352,0.5679319,0.54793763,0.50425005,0.45915094,0.43185744,0.42711067,0.43722543,0.45158955,0.46368197,0.4731408,0.4843719,0.5023346,0.52555865,0.54518396,0.5505781,0.54092884,0.5248273,0.51494753,0.51583546,0.52542347,0.53594023,0.54174614,0.5384481,0.52641714,0.50856096,0.49058697,0.4763832,0.46642175,0.45778778,0.4481107,0.43839797,0.43182325,0.42998648,0.43112788,0.43272135,0.43462396,0.44080815,0.45648146,0.48555315,0.5226136,0.5543613,0.5636895,0.54695207,0.51535535,0.48905,0.47947428,0.4857248,0.49903917,0.5113948,0.5196633,0.52557224,0.5342197,0.54950976,0.5682554,0.58207446,0.5834322,0.57590103,0.5674885,0.56396216,0.56029433,0.55052805,0.53299385,0.5137975,0.4993049,0.49324712,0.4953338,0.5033081,0.51415193,0.5262807,0.5409083,0.55941767,0.57761693,0.5842318,0.56855637,0.53297555,0.4936595,0.47048151,0.47096214,0.48939106,0.51127815,0.52588254,0.5285306,0.52567095,0.5270083,0.5401843,0.55959755,0.5721925,0.56673855,0.545782,0.5217952,0.50703806,0.5050718,0.5118348,0.5202744,0.52378654,0.5177508,0.5030802,0.48627734,0.47621927,0.4768162,0.4854411,0.49601436,0.5045407,0.5108492,0.51671624,0.5230754,0.5290587,0.5332902,0.53648263,0.54204494,0.5543044,0.57215935,0.58635813,0.5828216,0.55471426,0.509697,0.46556887,0.4376173,0.4292164,0.43469867,0.4457499,0.45769456,0.4701034,0.48597017,0.5085563,0.53488636,0.555365,0.55844885,0.54443556,0.52510554,0.51593876,0.52023715,0.5304536,0.5353846,0.5307842,0.5181592,0.5024318,0.487903,0.47806332,0.47289446,0.47083077,0.47057018,0.47582975,0.4893674,0.50910765,0.5245845,0.5280873,0.5201892,0.51040745,0.5067461,0.5105181,0.5170967,0.52152556,0.522476,0.5237482,0.5312615,0.5489122,0.5708584,0.5849886,0.57915145,0.55576926,0.52791184,0.5120053,0.51306653,0.5271068,0.544714,0.5583113,0.5622151,0.5551297,0.5399811,0.52310836,0.5098892,0.5030329,0.50245374,0.50663763,0.5130702,0.5191224,0.52324003,0.5255919,0.5270478,0.528491,0.53082514,0.5357933,0.544827,0.55624443,0.5645121,0.5634298,0.552713,0.53929687,0.5324785,0.53719205,0.55197173,0.57308626,0.594379,0.60884523,0.6075526,0.58875066,0.55854553,0.53077257,0.5158596,0.5178547,0.53165793,0.54803246,0.5567896,0.5529521,0.5388242,0.5223164,0.51098084,0.5083025,0.5144095,0.52914065,0.5513056,0.5761578,0.59412414,0.59640884,0.5807562,0.5533842,0.5253629,0.50727034,0.5059361,0.51941997,0.53790313,0.54778785,0.5438486,0.53058505,0.5180621,0.5114984,0.51264447,0.5222607,0.54115635,0.5651579,0.5854085,0.5956379,0.5964132,0.5923379,0.5838144,0.5695645,0.55110496,0.53596336,0.5287282,0.5280327,0.529162,0.53133756,0.53528523,0.5398063,0.5412281,0.5403211,0.53929,0.5397102,0.5369578,0.53100425,0.5248049,0.5242345,0.52695245,0.5291961,0.5304994,0.536738,0.5503247,0.5649917,0.5714366,0.5670738,0.5585034,0.5532957,0.55324453,0.5543306,0.551687,0.5426506,0.5284856,0.5146279,0.5095472,0.51675683,0.53193235,0.5436249,0.5471615,0.5453389,0.54758906,0.5560334,0.56828517,0.57786655,0.5830986,0.5840438,0.58449507,0.58787805,0.5967784,0.6063409,0.60651237,0.5873373,0.5500526,0.5056761,0.4683009,0.4445214,0.434122,0.43381107,0.44252542,0.4596103,0.4826629,0.50495845,0.51874703,0.51964754,0.5117903,0.506082,0.5138263,0.53701013,0.566899,0.5891451,0.59533435,0.5848935,0.5637618,0.53803855,0.51534265,0.50240153,0.5023749,0.509206,0.5117793,0.5018727,0.48193535,0.46227518,0.45331204,0.4587609,0.4748344,0.49459147,0.5117609,0.5234762,0.52937675,0.53098893,0.53061205,0.53262544,0.5418773,0.56190497,0.58826977,0.61101204,0.6183464,0.6090557,0.590297,0.57400733,0.5654285,0.56522834,0.57132894,0.5829093,0.59803003,0.61395615,0.6286681,0.641792,0.6509509,0.65154713,0.639201,0.6177073,0.59541065,0.5813434,0.5768289,0.580144,0.58752006,0.5965076,0.6038389,0.6080761,0.6111836,0.61551493,0.6199918,0.6173869,0.6028364,0.5776872,0.55197674,0.5343985,0.5284458,0.52950406,0.53172153,0.5314674,0.52963704,0.52902603,0.52973294,0.5287562,0.5213035,0.50996494,0.5042828,0.5152237,0.5406422,0.56558305,0.5733107,0.5609517,0.53871274,0.5204652,0.51301724,0.5171802,0.52877194,0.5426448,0.5519338,0.5539332,0.5494836,0.54393196,0.54032683,0.53976274,0.5408103,0.5437621,0.55014974,0.5615179,0.5777316,0.59695333,0.6173219,0.63727945,0.6560107,0.6726351,0.6847741,0.6874132,0.67518616,0.6476752,0.6129593,0.58283526,0.5655639,0.5604727,0.5621589,0.5645051,0.5648199,0.56300473,0.5619444,0.5648084,0.57081586,0.5736851,0.5660029,0.54896754,0.53200954,0.5250632,0.5273593,0.53042316,0.52728766,0.5201983,0.51704067,0.52418584,0.54198843,0.5656562,0.58726245,0.59935194,0.59783834,0.58532405,0.56858826,0.55436224,0.5448346,0.5389324,0.5353989,0.53493047,0.53832746,0.54367214,0.54499227,0.5357767,0.5142516,0.48858997,0.47395214,0.48449138,0.51967114,0.56333727,0.59120387,0.5918292,0.5706342,0.5461003,0.5309662,0.5289777,0.53399974,0.53889346,0.5365319,0.52480906,0.5063978,0.48950514,0.481652,0.48678887,0.5031097,0.52661663,0.5527211,0.57804006,0.59995466,0.6168249,0.6278603,0.6320624,0.6294225,0.621419,0.61364526,0.60948825,0.60758996,0.5983875,0.57675797,0.54603314,0.52000505,0.50882,0.5145201,0.53040355,0.54902345,0.5653371,0.57783324,0.58683777,0.5935054,0.5965258,0.5946009,0.5866134,0.5774782,0.5698095,0.5644038,0.55508095,0.54114765,0.52547693,0.51560855,0.5133278,0.5166292,0.5213563,0.5241107,0.5229201,0.51692605,0.511216,0.51153016,0.5190924,0.52405864,0.5151741,0.49109492,0.46281055,0.44466892,0.44287017,0.45619926,0.47725007,0.4975277,0.5086181,0.51010805,0.5103569,0.519154,0.53546596,0.5464961,0.54138917,0.52325207,0.50612956,0.5015127,0.50921106,0.52320266,0.53673476,0.5468681,0.55044365,0.5486854,0.5454251,0.5469005,0.5538352,0.5643766,0.5753079,0.58545977,0.59153,0.59041625,0.5819263,0.5698752,0.5567853,0.54140127,0.52460307,0.51411545,0.52029866,0.54309434,0.5683678,0.5769191,0.5611541,0.5286742,0.49612495,0.47485533,0.46958187,0.47765592,0.4947745,0.51138455,0.5181246,0.5103079,0.49513876,0.48556373,0.4905158,0.5062105,0.5192418,0.5156117,0.490402,0.44983557,0.4058149,0.36763895,0.33743623,0.3126683,0.2908257,0.27239105,0.25933936,0.25251812,0.2503461,0.24924003,0.24575554,0.23768719,0.2257372,0.21240453,0.20169699,0.19659714,0.19847119,0.20552383,0.214164,0.22122781,0.22670013,0.23366727,0.24486232,0.25986388,0.2746015,0.2848911,0.2892453,0.28953758,0.28913167,0.29023063,0.29379392,0.2997128,0.30835548,0.31855047,0.32698,0.3282466,0.31947657,0.30225524,0.28191817,0.26292896,0.24769731,0.23714387,0.23294924,0.23645161,0.24685161,0.25881484,0.2637585,0.2544956,0.23424374,0.21946622,0.23381752,0.28727004,0.36648425,0.43844977,0.47903362,0.4860158,0.47879386,0.47620812,0.48737803,0.51090413,0.54036486,0.5657789,0.5752645,0.56360257,0.5367756,0.5092804,0.49219117,0.4871421,0.48736486,0.48418868,0.47088388,0.4450529,0.40924296,0.36985102,0.33302858,0.30084097,0.27182165,0.24500056,0.22235106,0.20668352,0.19830088,0.19598609,0.20014216,0.21392654,0.23839271,0.2677672,0.28914836,0.28883997,0.26079455,0.21177292,0.16021346,0.12720352,0.1252001,0.15093973,0.1886887,0.22160862,0.2410693,0.2489485,0.2511654,0.2528005,0.25549755,0.25936037,0.26361597,0.26832235,0.2750952,0.28668928,0.30364838,0.32196173,0.33522165,0.339541,0.3364365,0.33024463,0.3248482,0.32190815,0.3222023,0.32573125,0.3315449,0.33759418,0.34184995,0.34401777,0.3467045,0.35655823,0.38188747,0.42638803,0.48213926,0.53137225,0.5582867,0.5608602,0.54969686,0.53680974,0.526489,0.51794726,0.51104146,0.50874895,0.5137463,0.52807665,0.55327517,0.5882177,0.6246508,0.64816356,0.6488889,0.62824684,0.5975103,0.5662797,0.539439,0.5178465,0.502534,0.49294066,0.4883449,0.48960933,0.5004165,0.5206,0.5437727,0.5586218,0.5608194,0.5533526,0.54545516,0.5414327,0.5416291,0.5421088,0.5406609,0.5375051,0.53618646,0.5412214,0.55329657,0.56810766,0.57913804,0.58553624,0.59267235,0.60403174,0.6147103,0.6133185,0.5962592,0.56998545,0.547513,0.5355895,0.53480154,0.5400949,0.5455007,0.544348,0.5342312,0.5185903,0.5062023,0.5036285,0.51178116,0.52545124,0.53900594,0.5488982,0.5549384,0.55796486,0.55876184,0.55788547,0.55561334,0.5540502,0.5555219,0.56376076,0.5775704,0.5922408,0.59873056,0.59450763,0.58377427,0.5764432,0.57775974,0.5871008,0.60029525,0.6120455,0.61652905,0.60648304,0.5812509,0.54942775,0.52660894,0.52301437,0.5366664,0.55646616,0.5699335,0.57070327,0.55855054,0.5390863,0.51953244,0.5061037,0.5023649,0.510154,0.5304542,0.5593113,0.5860426,0.59643215,0.58346885,0.55327797,0.5200217,0.4967585,0.48910823,0.4978485,0.5181997,0.54043,0.5516755,0.54524994,0.52530396,0.50318414,0.48694125,0.4760783,0.46287468,0.43960682,0.40281215,0.3563043,0.3078445,0.2659584,0.23478888,0.2142104,0.20049722,0.19020014,0.1813798,0.1754111,0.17459023,0.18081045,0.19291098,0.20758688,0.22024435,0.22682981,0.22542511,0.21664168,0.20382637,0.1904275,0.17911834,0.17052394,0.1655681,0.16521518,0.17080678,0.18064433,0.19107951,0.19692092,0.19580086,0.1877814,0.1758072,0.1629123,0.15185642,0.14391531,0.13921446,0.13682035,0.13516694,0.13277449,0.1285261,0.12260792,0.115990646,0.11030442,0.10625467,0.10363781,0.10118735,0.09787273,0.09322978,0.08762867,0.081661634,0.07586049,0.070569634,0.066135935,0.06290399,0.0610923,0.060530957,0.060846377,0.06167105,0.063161284,0.06560233,0.06920006,0.0733097,0.076989405,0.07910519,0.07926948,0.07763844,0.075164355,0.072862744,0.071470894,0.07094288,0.070821784,0.07085473,0.07153238,0.07374143,0.07788041,0.0831056,0.08773092,0.09029778,0.09052529,0.08932056,0.08819782,0.08858823,0.09106497,0.094948344,0.09854508,0.100420974,0.10033363,0.09915701,0.09760084,0.09539488,0.0913619,0.084558375,0.07507366,0.06443023,0.05496336,0.048807506,0.04672705,0.047932755,0.05117316,0.056111395,0.06322355,0.072415315,0.081740774,0.08856868,0.09115502,0.089895956,0.08616936,0.08147005,0.07669035,0.07244293,0.069048725,0.066458784,0.06433921,0.062301297,0.06024224,0.05846068,0.057586163,0.058474224,0.0613787,0.06576588,0.070068575,0.07325215,0.07516959,0.07696233,0.07959708,0.0835495,0.08839613,0.09316367,0.09634402,0.09690381,0.09560122,0.09565311,0.100083835,0.1095194,0.12148434,0.13471691,0.15011255,0.16986378,0.19299412,0.21617885,0.2357171,0.2501603,0.25929043,0.26309708,0.26177818,0.25669697,0.25026283,0.24470921,0.24094546,0.23895161,0.23821516,0.2381952,0.23840119,0.23975708,0.24521963,0.25793394,0.27800462,0.3010732,0.32136035,0.3350383,0.34201467,0.34443137,0.3454337,0.3476011,0.3523172,0.35879433,0.36502966,0.36855564,0.3683718,0.36571237,0.36423647,0.36778057,0.3756924,0.38236544,0.3798515,0.36669722,0.34794188,0.33218822,0.32241428,0.3162005,0.30799118,0.29506084,0.27824625,0.2613592,0.24800347,0.23947473,0.23428386,0.23022841,0.22704996,0.2270946,0.23387247,0.24898188,0.27050483,0.29330027,0.311962,0.3233275,0.32738864,0.32639506,0.32372007,0.3234192,0.32842335,0.33927977,0.35257515,0.36395967,0.37028757,0.3723314,0.37218308,0.37138715,0.3692989,0.3649521,0.3589221,0.35333133,0.35009506,0.3491507,0.3490735,0.3493397,0.35130262,0.35718897,0.36652926,0.37605324,0.38131264,0.38124803,0.37753892,0.37328267,0.37012276,0.3694847,0.37179574,0.37542167,0.37598073,0.36991397,0.35847983,0.34718418,0.34153035,0.3432273,0.3511908,0.36390552,0.3805016,0.39977553,0.41885003,0.43405688,0.44193664,0.44214,0.43910694,0.44212326,0.4599954,0.4913664,0.52234244,0.5336712,0.5183217,0.4853797,0.45324638,0.43463698,0.43433824,0.45237204,0.48394045,0.5171665,0.53420496,0.526118,0.49890494,0.4706901,0.45589793,0.45964608,0.47930744,0.5074536,0.53318286,0.54302603,0.53167766,0.50490016,0.47738338,0.46090564,0.4611235,0.47885978,0.5095274,0.54209715,0.5593206,0.5518982,0.5245493,0.49506608,0.47918332,0.48386708,0.50745445,0.5417822,0.5746502,0.59177023,0.58885235,0.5725082,0.55671906,0.54839426,0.5486689,0.55608886,0.5711701,0.5903769,0.6050783,0.607907,0.5994409,0.586345,0.5739084,0.5646338,0.5620308,0.5692408,0.5838654,0.5949541,0.59362036,0.5799734,0.5629191,0.5491583,0.54053444,0.5367395,0.53837246,0.5445326,0.5509365,0.5537655,0.5531781,0.5520971,0.55318874,0.5575633,0.5681598,0.5858025,0.6059665,0.61595654,0.60577375,0.5762567,0.5401978,0.5106163,0.4931072,0.48580492,0.4863499,0.49369517,0.50747997,0.526166,0.548775,0.57362574,0.59598297,0.6077544,0.60346097,0.584999,0.5597363,0.5339369,0.51093704,0.49360308,0.48548567,0.48827446,0.50051945,0.52056247,0.5477262,0.57887787,0.6058877,0.61845833,0.6138331,0.5978213,0.58167887,0.57161087,0.5681657,0.5673998,0.56662464,0.5653228,0.56443334,0.56402904,0.5620623,0.5559804,0.546494,0.5399005,0.544976,0.5635083,0.5868531,0.60089666,0.60080343,0.592747,0.5884552,0.5915608,0.5984366,0.6008498,0.593489,0.57485646,0.5498752,0.5277834,0.51730067,0.5209353,0.5341778,0.55025023,0.5630458,0.5689339,0.5660307,0.55656725,0.54561466,0.5385718,0.5368135,0.5391875,0.54525834,0.55788857,0.57651967,0.5943174,0.59823656,0.5839639,0.55829686,0.5371518,0.52934235,0.5350496,0.54800266,0.56403536,0.5804985,0.59615666,0.6097956,0.6229556,0.63570803,0.6463537,0.64909893,0.6425424,0.6287964,0.61401224,0.60044175,0.58894247,0.5793024,0.5736429,0.5741113,0.58209354,0.5973434,0.6155184,0.628356,0.6259136,0.6060427,0.5772831,0.5544184,0.54723924,0.55519825,0.5711854,0.58769584,0.6010576,0.6106717,0.6174677,0.62175184,0.62250686,0.61940247,0.61521703,0.61587375,0.6245759,0.63664275,0.6405771,0.62794733,0.60146105,0.5725941,0.55192274,0.5420652,0.54152155,0.5480244,0.5602033,0.5729308,0.58099216,0.58183336,0.57934266,0.5782309,0.58071643,0.58459955,0.5872126,0.58798367,0.58936137,0.59427136,0.6038739,0.61614287,0.6280052,0.6374369,0.64563996,0.65307325,0.6556656,0.6440454,0.6121513,0.56531405,0.518584,0.4865686,0.47389603,0.47719333,0.49001852,0.5073834,0.52482617,0.5398148,0.55305386,0.5669922,0.58178383,0.5930958,0.59783983,0.597332,0.5971224,0.5998582,0.60495657,0.6090141,0.60914594,0.6021576,0.58869004,0.5745456,0.56901866,0.5740319,0.58213824,0.5814797,0.57012635,0.5553884,0.5482998,0.55235577,0.56514144,0.58145314,0.59765077,0.6109111,0.61782336,0.6149732,0.600843,0.57953197,0.5605085,0.5555978,0.57076955,0.60024554,0.6275935,0.63597375,0.62188363,0.5964175,0.5765672,0.5696576,0.5716193,0.57287055,0.5685745,0.55975467,0.5504423,0.5437202,0.54156613,0.54461884,0.552278,0.5617123,0.5696997,0.57415587,0.5755654,0.5753464,0.5744333,0.57251465,0.5691064,0.56538755,0.5647798,0.5722292,0.5877848,0.60442996,0.60937244,0.5967793,0.5717537,0.547414,0.53252214,0.52803844,0.5303678,0.53625053,0.5437775,0.5517678,0.5607129,0.57273203,0.5866365,0.59736204,0.59730846,0.5869387,0.5709447,0.5564292,0.5422671,0.52695996,0.5092458,0.4940635,0.48578164,0.48825392,0.501905,0.5236825,0.54770446,0.56767267,0.5831358,0.5967228,0.6097284,0.6165795,0.610142,0.59078336,0.5666751,0.5491082,0.54211664,0.54472584,0.5507488,0.55467224,0.55222565,0.5464368,0.54597795,0.5584201,0.5800293,0.5966666,0.5957944,0.5777951,0.5547728,0.53916436,0.5354946,0.5406981,0.54850864,0.5529657,0.5499077,0.54021925,0.527942,0.5180747,0.51194,0.51052666,0.5151685,0.5260367,0.5385111,0.5447225,0.5421954,0.5349898,0.53098804,0.53262925,0.5394671,0.55050534,0.5666062,0.5831923,0.5900283,0.57704544,0.5460427,0.5082131,0.4764379,0.4550101,0.4440484,0.44285664,0.45307937,0.47370604,0.5013287,0.53133863,0.5592268,0.5793507,0.58593106,0.5787525,0.56470823,0.55293685,0.54680055,0.5434299,0.5392237,0.53401184,0.5302636,0.5308135,0.5381202,0.5532486,0.57220715,0.5861139,0.58585876,0.57109815,0.5504065,0.53549147,0.53230655,0.5393398,0.5503873,0.55893224,0.56157285,0.55867875,0.5533077,0.54689735,0.53876513,0.528126,0.51909626,0.51859385,0.5285632,0.54109836,0.5430562,0.53042066,0.51129216,0.5004198,0.50482416,0.52206445,0.5423991,0.556619,0.5590099,0.5509202,0.5388287,0.5298268,0.52666306,0.52791303,0.5319727,0.53730184,0.54169506,0.5406075,0.53206366,0.5184457,0.50569355,0.49794137,0.49631405,0.50186014,0.51746535,0.54333955,0.5720194,0.58993864,0.58925915,0.57359755,0.55497146,0.5428715,0.54031724,0.54592514,0.5561628,0.56698817,0.57533795,0.5829529,0.59430695,0.6095326,0.621857,0.6222997,0.6112211,0.5953137,0.5824148,0.57145315,0.5601595,0.5475587,0.5382063,0.5353419,0.5410351,0.55524755,0.5751028,0.5926075,0.59652156,0.5818971,0.5551071,0.5304019,0.5187033,0.5219117,0.5354336,0.55340713,0.571495,0.586456,0.59614897,0.5986088,0.59193236,0.5756107,0.5548106,0.5409423,0.5444303,0.5640057,0.58529955,0.59226465,0.58155614,0.56239134,0.54753476,0.5418294,0.54507345,0.55405027,0.56698865,0.5802054,0.59124374,0.5995486,0.6080733,0.6188813,0.63095427,0.6403511,0.6442088,0.642687,0.63852006,0.63426465,0.63123316,0.62895554,0.6262071,0.6224292,0.6188713,0.61693746,0.61262107,0.5973685,0.56436414,0.5201037,0.48035654,0.45977893,0.45918155,0.4693896,0.47988296,0.486114,0.48951045,0.49440312,0.50637984,0.5270814,0.5526046,0.57344747,0.583661,0.58388203,0.5811987,0.58098346,0.5851352,0.5905428,0.59197825,0.58395976,0.56728077,0.5508953,0.5464999,0.55494136,0.563195,0.5541406,0.5260154,0.49393487,0.47893092,0.4888084,0.5167603,0.5485856,0.5744169,0.590882,0.59789205,0.5953245,0.58294785,0.5647611,0.5489285,0.54534334,0.5571482,0.5778789,0.59321505,0.5918196,0.57358617,0.5494445,0.53251797,0.5289104,0.5374689,0.5520186,0.5657727,0.5721089,0.56943923,0.56112164,0.5539456,0.55103594,0.5519131,0.55386287,0.5559489,0.55741566,0.5575286,0.55693054,0.55856997,0.5647053,0.5698325,0.56485367,0.5460484,0.52620167,0.5212359,0.5359663,0.5540975,0.55772895,0.541177,0.515603,0.4953835,0.49015284,0.50339615,0.5308103,0.5606641,0.5758224,0.56680053,0.537347,0.502006,0.47473022,0.46200594,0.46464884,0.4784154,0.49748644,0.5129226,0.5201565,0.5192496,0.515227,0.51168996,0.51017475,0.5127837,0.52098894,0.53403527,0.54509515,0.5497143,0.5485602,0.54755,0.548685,0.5497225,0.5492858,0.5496586,0.5537794,0.55963486,0.56468385,0.5680392,0.5722596,0.5772919,0.58316,0.5897172,0.59759665,0.60172933,0.5954764,0.5772627,0.5571579,0.54777616,0.55462354,0.571369,0.5888042,0.59927726,0.59972316,0.5880415,0.5677567,0.54614496,0.53238386,0.5286909,0.53129333,0.5354118,0.5391924,0.5441013,0.5488887,0.55403376,0.5587891,0.56527686,0.5714305,0.57660604,0.58160496,0.5913281,0.60728353,0.62517977,0.63716894,0.63980365,0.63484806,0.6258652,0.6132334,0.59667486,0.5778622,0.56111914,0.5510799,0.55115944,0.56355315,0.58474976,0.6051672,0.61167175,0.6006887,0.57974935,0.5631235,0.55669457,0.557517,0.55739576,0.5529077,0.54489905,0.5383914,0.5381265,0.5474458,0.5622318,0.5733015,0.5710299,0.55737394,0.54342014,0.5415762,0.55271465,0.56731415,0.57374686,0.568058,0.55614185,0.54765743,0.54848886,0.55639714,0.5648372,0.56980896,0.5737861,0.5824797,0.5964456,0.6083541,0.6070454,0.589395,0.5626109,0.54005665,0.5299416,0.5329258,0.5436635,0.55580926,0.5645125,0.5684488,0.56946295,0.56974316,0.5688179,0.56454104,0.5560444,0.54521966,0.5345281,0.5247743,0.5153279,0.5049363,0.49357653,0.48195064,0.47442317,0.47711954,0.49671865,0.53087515,0.5683299,0.59247893,0.59704775,0.5882445,0.5799909,0.57869536,0.58155924,0.58091307,0.57376504,0.5626834,0.5543336,0.5557185,0.57111096,0.5971057,0.6226724,0.6354492,0.6331589,0.6235972,0.6175453,0.6171808,0.6184327,0.6156874,0.6079838,0.59768796,0.5896824,0.5895884,0.59875983,0.6120577,0.6193618,0.6162699,0.6070819,0.6018161,0.6064387,0.62047577,0.63882357,0.6557348,0.66694075,0.6706808,0.66814524,0.6612782,0.65211934,0.64204615,0.63436437,0.6316828,0.6342799,0.6355078,0.6272006,0.60432184,0.57302475,0.5446406,0.53003263,0.53053766,0.5428,0.5613526,0.5835528,0.60539395,0.6232152,0.6335636,0.6372628,0.6368835,0.6360919,0.6371866,0.6414661,0.648525,0.6564918,0.6633397,0.66775125,0.6699299,0.670404,0.67101884,0.67340666,0.6777963,0.678737,0.66931987,0.646457,0.6176154,0.59309363,0.57947344,0.57406086,0.5716916,0.56693953,0.55641186,0.5393243,0.52173406,0.5154095,0.52814144,0.55573565,0.584194,0.6033452,0.61300164,0.61995476,0.6270966,0.6323945,0.63059354,0.619726,0.6009081,0.58088845,0.5678716,0.56787664,0.5765064,0.5819881,0.5722031,0.5472248,0.5181114,0.49999043,0.49949226,0.5128505,0.530315,0.54427695,0.55317277,0.5591044,0.56464213,0.56895065,0.57046145,0.5686416,0.56852895,0.5762257,0.59317327,0.6104558,0.61504656,0.6020772,0.5796106,0.5624118,0.5580092,0.56508845,0.57660145,0.588826,0.59924465,0.6079519,0.6138652,0.6186257,0.62272435,0.626343,0.625942,0.61775804,0.59986657,0.57617944,0.5558451,0.54817677,0.5552499,0.56693107,0.5691841,0.5556917,0.5374805,0.52880293,0.53331065,0.536701,0.52577645,0.5009384,0.4759891,0.46235213,0.46066296,0.46519208,0.47030857,0.47492993,0.48068497,0.49162284,0.5102119,0.5313905,0.54369134,0.53657156,0.51570374,0.49634624,0.4933749,0.5028706,0.51300305,0.5118771,0.5001729,0.48383024,0.4721737,0.47255775,0.48621115,0.5039456,0.50882185,0.4913863,0.4571828,0.42378783,0.40406957,0.39974415,0.40376687,0.40960565,0.41525272,0.42296097,0.4374483,0.46057606,0.48888803,0.51280576,0.5265952,0.5324288,0.5391674,0.5489259,0.5551414,0.54877424,0.53173536,0.51414984,0.5057614,0.5067382,0.5136478,0.5234101,0.53630096,0.5495165,0.5605586,0.5670649,0.57092214,0.5726414,0.57226753,0.5693206,0.5645053,0.55927855,0.55389494,0.5500879,0.54923934,0.5519269,0.5545301,0.5507676,0.5356836,0.50752443,0.47026965,0.43013966,0.395251,0.3699431,0.35461843,0.34489083,0.33652103,0.32762483,0.31910157,0.31155232,0.3033954,0.29301524,0.28037596,0.26740682,0.25329283,0.23544003,0.21211927,0.18809791,0.17144154,0.16767609,0.17408854,0.1817109,0.18129699,0.16896003,0.14869732,0.13027745,0.1254382,0.14050557,0.17343347,0.21321698,0.24853927,0.27233353,0.28516924,0.28992763,0.28999743,0.28760836,0.28507933,0.28362656,0.28197715,0.27651426,0.26329142,0.24130982,0.21397536,0.18894847,0.17493755,0.17895108,0.20196678,0.23897624,0.2790538,0.31222367,0.3317181,0.33712962,0.3304149,0.31613335,0.29816386,0.27889302,0.2559282,0.22659768,0.19229145,0.16174686,0.14362527,0.14113273,0.15037698,0.16700554,0.18849987,0.21310993,0.23677456,0.2546152,0.26340616,0.26294497,0.25476673,0.24193244,0.22757126,0.21489929,0.2060951,0.2041399,0.21073765,0.22353612,0.23447496,0.2357986,0.22829334,0.22178231,0.22692572,0.24544995,0.27024874,0.29190937,0.3049718,0.3076541,0.30035296,0.28574935,0.2709099,0.2641383,0.26973566,0.28384733,0.29863507,0.30823407,0.31249347,0.31433642,0.3158784,0.31672117,0.31542122,0.3121581,0.3090507,0.3086017,0.31106618,0.31395712,0.31411967,0.3096262,0.30155814,0.2919534,0.28350934,0.27651653,0.26923355,0.25691658,0.23580705,0.2072136,0.1802393,0.16829856,0.17984648,0.21266162,0.25400218,0.290485,0.31474116,0.32812527,0.33508107,0.33871362,0.33873653,0.33334014,0.32160926,0.30374968,0.28005204,0.25013897,0.2150919,0.18085976,0.15753593,0.1547031,0.17351043,0.20576692,0.23754402,0.25849614,0.26539823,0.26193714,0.25346968,0.24436945,0.23724096,0.23305899,0.23071392,0.2265923,0.21677129,0.19962774,0.17757346,0.15535982,0.13759811,0.12695786,0.12462982,0.13051917,0.14252536,0.15523559,0.161511,0.1566531,0.14247246,0.12701407,0.11976656,0.12608619,0.1442797,0.16725217,0.1860977,0.19400078,0.18862243,0.1733125,0.1567586,0.14923225,0.15735425,0.18010521,0.2106378,0.24129604,0.26704836,0.28591248,0.29696417,0.3006662,0.2977277,0.2884405,0.27088928,0.24416612,0.21234797,0.18672645,0.17841627,0.19076216,0.21524781,0.2406581,0.25975838,0.27298746,0.28134346,0.2847776,0.28222796,0.27624393,0.2715398,0.272573,0.28022143,0.2923791,0.30551645,0.31701517,0.32604447,0.33375308,0.34141108,0.34896412,0.35373473,0.3525399,0.34354505,0.32802495,0.30919555,0.29105234,0.27746597,0.27060735,0.27023578,0.27318057,0.27714324,0.2820626,0.29013535,0.30166176,0.31446102,0.32544184,0.33312756,0.33649492,0.33218125,0.3148807,0.28299442,0.24457859,0.2161959,0.21182863,0.23276651,0.26574624,0.2946888,0.3106704,0.31611314,0.31759748,0.3200739,0.3237011,0.32624492,0.3253254,0.31987312,0.31051803,0.29919064,0.2883663,0.27923128,0.27134654,0.26345327,0.2551318,0.24618705,0.2354635,0.22139084,0.204435,0.18783851,0.17459764,0.1645595,0.15512921,0.14454058,0.133233,0.12236935,0.11218611,0.10203534,0.091071986,0.078817986,0.06538386,0.05203438,0.040657695,0.03273154,0.028254194,0.026120165,0.025015363,0.024143724,0.023226047,0.022248635,0.021275142,0.02036041,0.01954049,0.018790409,0.018063908,0.017299747,0.016496167,0.015682476,0.014931652,0.01427858,0.013727374,0.013206338,0.012634237,0.01194303,0.011143956,0.010301546,0.009497967,0.008778421,0.008139939,0.007556845,0.0070048384,0.0064779813,0.0059777224,0.005508691,0.005066033,0.0046379794,0.0042097964,0.0037791196,0.0033561625,0.0029566272,0.0025900046,0.0022591173,0.0019642687,0.001704081,0.0014756698,0.0012736461,0.0010939598,0.00093251927,0.00078735856,0.0006595117,0.00055619434,0.00048418037,0.00044110385,0.00041134647,0.00037531133,0.0003218931,0.00025373333,0.00018207771,0.00011932704,7.5259035E-05,5.6473553E-05]