[0.030034222,0.029388182,0.028485453,0.028496599,0.029894395,0.032249138,0.03451368,0.03579015,0.035474148,0.03336632,0.02986767,0.026617289,0.02658447,0.032607157,0.04556923,0.06380406,0.08566854,0.11068805,0.13905154,0.16792172,0.19245432,0.20821004,0.2152874,0.2167932,0.21671969,0.21697931,0.21748,0.21620293,0.21043211,0.1978633,0.17793137,0.15215208,0.12364062,0.09624729,0.0738593,0.060203586,0.058731675,0.071172945,0.095567204,0.12498232,0.15044338,0.1650028,0.16699873,0.15899432,0.14581573,0.13259391,0.123738386,0.12134522,0.124477424,0.12993132,0.13467127,0.13700387,0.13689494,0.13461018,0.1304531,0.124192566,0.11605286,0.10727184,0.10044285,0.09800855,0.10040616,0.10561064,0.110559374,0.11327029,0.11357173,0.11247743,0.110824175,0.108559705,0.10497949,0.10004415,0.095116295,0.09250963,0.09360322,0.097841494,0.10321206,0.10784578,0.11106219,0.11339667,0.11584907,0.11893668,0.122030996,0.12402382,0.12437094,0.12354425,0.12138566,0.11572311,0.10358011,0.08737215,0.080268875,0.10563868,0.17927511,0.29196978,0.4019735,0.46346876,0.45631573,0.40337694,0.34571588,0.3147889,0.31491974,0.3338988,0.35689497,0.37557706,0.38739613,0.39290416,0.39442956,0.39489332,0.39734375,0.4028727,0.410903,0.41857278,0.4234861,0.42405733,0.42123684,0.41523468,0.40437254,0.38431147,0.35298684,0.31417444,0.27684623,0.2495171,0.23439057,0.22752124,0.22219785,0.21389645,0.20136212,0.18645732,0.17201531,0.1603306,0.15175031,0.1452709,0.14043997,0.13892151,0.14349993,0.15517154,0.17128812,0.18699288,0.19798179,0.2025553,0.20115292,0.19579388,0.18880744,0.18218087,0.17659144,0.17193343,0.16804892,0.16486607,0.16208576,0.15888564,0.1549359,0.15003379,0.14428037,0.13739151,0.12964179,0.12082139,0.10996897,0.09539948,0.077339835,0.058604505,0.043219525,0.033285264,0.029073229,0.031361442,0.043671295,0.06914241,0.10464176,0.13804753,0.15453759,0.14721496,0.121853895,0.09185555,0.06887562,0.05873756,0.06255242,0.079516165,0.10670558,0.13884701,0.16912825,0.19382717,0.21551551,0.24470301,0.29188916,0.3598112,0.4360253,0.5016081,0.54085356,0.55309844,0.5490206,0.54604536,0.55620885,0.5802861,0.60247475,0.6006872,0.5616437,0.49445486,0.42422536,0.3748394,0.35430256,0.35565615,0.36730322,0.38131455,0.3946835,0.40647364,0.41589138,0.42223337,0.42546716,0.42648616,0.4266208,0.42715454,0.4285539,0.43053094,0.4315424,0.42886576,0.4179771,0.3947589,0.35860112,0.31518674,0.27403793,0.24261218,0.2224086,0.20972596,0.2004105,0.19151114,0.18159382,0.16936822,0.15536152,0.14202619,0.13317715,0.13097765,0.13538896,0.14451219,0.15592973,0.16616632,0.17039616,0.16434906,0.14726506,0.124110274,0.10269608,0.08998003,0.08822455,0.09460017,0.102466665,0.10426178,0.09638064,0.080765344,0.06418395,0.05261079,0.049350094,0.054254215,0.06539905,0.07873387,0.089149475,0.09297338,0.090199225,0.08398526,0.07756967,0.07249556,0.06857192,0.06519872,0.061563388,0.056853756,0.05065963,0.044094935,0.039741263,0.039988276,0.044845972,0.0513241,0.05526735,0.05424577,0.05002557,0.0490054,0.058992386,0.08277438,0.11282226,0.13384438,0.13314116,0.110210694,0.07736712,0.050817247,0.042220976,0.053745657,0.080302335,0.11170391,0.1388781,0.15834296,0.17735451,0.21239747,0.27802062,0.37231517,0.46854815,0.53217834,0.54441833,0.51816195,0.4826621,0.46146515,0.45887366,0.46727195,0.47829556,0.48837933,0.49723276,0.5050759,0.5120291,0.51808554,0.5232044,0.526803,0.5279737,0.52602535,0.5209536,0.51314926,0.50328624,0.49212775,0.4795495,0.4619141,0.43090442,0.37813306,0.30322263,0.21909992,0.1456847,0.09828485,0.07883278,0.0787927,0.087883085,0.10033664,0.11503554,0.1313691,0.14754535,0.16046232,0.1680278,0.16992365,0.1683547,0.16676801,0.16822739,0.173316,0.18001074,0.18486696,0.18461598,0.1778727,0.16559015,0.15141386,0.138699,0.12902817,0.12121468,0.114181586,0.10828104,0.10543493,0.107763626,0.116271555,0.13032307,0.14647649,0.15951572,0.16416626,0.15847577,0.14446919,0.1269954,0.11066788,0.09816169,0.09012865,0.08616325,0.08673083,0.09373692,0.110494174,0.1356288,0.16103473,0.17254639,0.16287476,0.13571788,0.10488423,0.081496954,0.07091347,0.07249937,0.08386303,0.09971356,0.11309632,0.11839947,0.116522126,0.11574987,0.12950152,0.16902451,0.23577447,0.31703722,0.3917087,0.4431685,0.46825135,0.47801998,0.48837224,0.51094127,0.5427935,0.56750435,0.56655,0.53752613,0.4977901,0.46953073,0.46130693,0.46534798,0.4696401,0.4690741,0.46502355,0.46020916,0.4540762,0.44458285,0.42951903,0.40983903,0.38934827,0.37402943,0.36852208,0.37425068,0.38912913,0.40903315,0.42945412,0.4457523,0.45257202,0.4433372,0.41341615,0.36478046,0.3085096,0.25880685,0.22497547,0.20656854,0.19805883,0.19427423,0.19335319,0.19442229,0.19617726,0.1977539,0.20139349,0.2135336,0.24152614,0.28716388,0.34272417,0.3939916,0.42996466,0.44862232,0.4576045,0.4670095,0.4843081,0.50735456,0.5273304,0.53495646,0.53268033,0.5297706,0.5331924,0.5359989,0.5278544,0.5039678,0.47346917,0.45061433,0.44868898,0.4695152,0.50195956,0.5264209,0.5304971,0.51588666,0.49411488,0.47257555,0.4539825,0.43931675,0.43246582,0.43307373,0.43496934,0.42709637,0.3999596,0.34936443,0.27991727,0.20487678,0.14089268,0.100632995,0.08981541,0.10662943,0.14283653,0.18295784,0.21211286,0.22285523,0.22064207,0.21643172,0.21990328,0.23249106,0.24824436,0.25583577,0.2460459,0.21737517,0.17933889,0.1500687,0.15115462,0.1992154,0.29140556,0.3987896,0.47527802,0.48929945,0.4437648,0.3734313,0.3140382,0.28250107,0.27349404,0.27544308,0.27955887,0.28371075,0.28771034,0.29215917,0.29647043,0.30038217,0.30322954,0.30495954,0.30524805,0.3045641,0.30389282,0.30563453,0.3122087,0.32497063,0.34095037,0.35330138,0.3533946,0.33802453,0.31118622,0.2827882,0.26064292,0.2478137,0.24194111,0.2391988,0.23514985,0.22672464,0.21391432,0.20094939,0.19339629,0.1926326,0.19491692,0.1955842,0.19380133,0.19063814,0.18412328,0.16947313,0.145301,0.11909607,0.10405987,0.11028329,0.13773851,0.17636268,0.21266298,0.23692219,0.24684389,0.24603231,0.23990203,0.23280585,0.22689295,0.22285314,0.22059746,0.21979766,0.22247021,0.23476803,0.2685872,0.33014438,0.40982625,0.47592655,0.49662933,0.46100616,0.39132497,0.32210347,0.27901426,0.26312703,0.25973877,0.24941097,0.22374277,0.18630145,0.14946772,0.12254048,0.10902575,0.10702821,0.11359935,0.12498329,0.13702233,0.14668345,0.1539993,0.16311997,0.18076159,0.21384533,0.26434475,0.32640937,0.3869835,0.4332025,0.4589626,0.46907642,0.476011,0.4940214,0.52677363,0.5626318,0.5776756,0.556807,0.5046822,0.445333,0.40040612,0.37799343,0.37135282,0.3716611,0.37401095,0.3781828,0.3843695,0.3917668,0.39886054,0.40474126,0.40901032,0.4116677,0.41249874,0.4116032,0.4089153,0.4045618,0.3984213,0.39084855,0.38154438,0.36916956,0.3509337,0.3254555,0.2939937,0.2602702,0.22715354,0.19687848,0.1723705,0.15906441,0.16043045,0.17460316,0.19331752,0.20804675,0.21383648,0.21062951,0.2013971,0.19075656,0.18416606,0.18460526,0.19144309,0.20047353,0.20823629,0.21371031,0.2182464,0.22260416,0.22535813,0.22330911,0.21427333,0.19933124,0.18274136,0.16926996,0.16177689,0.16092364,0.16832404,0.18981202,0.23638137,0.31343284,0.41073632,0.49913368,0.55398136,0.5718244,0.57130843,0.5644287,0.5455911,0.50201124,0.43821296,0.37611285,0.33731845,0.32339776,0.31788245,0.29967472,0.26082364,0.2084568,0.1590104,0.12642652,0.120254435,0.14571278,0.20109926,0.2724701,0.33551195,0.37041458,0.37416252,0.3623818,0.3564068,0.37189022,0.40913048,0.45364794,0.48152038,0.47634587,0.43959323,0.39269534,0.3617338,0.36559322,0.40468755,0.46295348,0.51171094,0.5280916,0.5067149,0.4648087,0.42528322,0.40282026,0.39684096,0.40004876,0.40568006,0.41094553,0.41563427,0.42063808,0.4274286,0.43646786,0.44709802,0.457363,0.46591368,0.4716289,0.47342,0.46938133,0.45809305,0.44031855,0.41854468,0.39514354,0.3696744,0.34115183,0.30995357,0.27892783,0.24963224,0.22225396,0.19834785,0.18374912,0.18452996,0.19980644,0.21964823,0.22973256,0.22068387,0.19290322,0.15809582,0.13190486,0.1249632,0.13447994,0.14709689,0.14906503,0.13696288,0.11967636,0.110803224,0.11958132,0.1452163,0.17962135,0.2120819,0.23558249,0.24777015,0.25070596,0.24657226,0.23629194,0.2186474,0.19368322,0.16480364,0.14062561,0.1326239,0.15234345,0.20721865,0.29516852,0.39899334,0.4870886,0.5286634,0.513776,0.46191156,0.40752625,0.37721884,0.3766402,0.39546955,0.41940877,0.44010317,0.45632276,0.47086856,0.48487723,0.49634227,0.50198627,0.5012427,0.49676403,0.49219254,0.48908314,0.4869735,0.48526868,0.48474216,0.48697802,0.49117342,0.4942049,0.4919853,0.48517036,0.47810617,0.47748196,0.48650613,0.5063338,0.5314567,0.55133295,0.5502877,0.5233279,0.48064664,0.44616488,0.43784556,0.45910767,0.49556717,0.52471066,0.5252164,0.49103174,0.4358708,0.38684753,0.36636266,0.3807718,0.41822788,0.45667842,0.47362733,0.4597738,0.42537785,0.39494458,0.3887701,0.4102951,0.4466718,0.4793149,0.49406525,0.48538712,0.4594011,0.42913076,0.41026422,0.41137862,0.4334474,0.4647502,0.4882274,0.48631528,0.4586976,0.4198877,0.39431968,0.39514032,0.4229554,0.46212944,0.4936962,0.4985985,0.47386578,0.43089104,0.39373842,0.38036588,0.39740288,0.43461666,0.47270045,0.49049616,0.47974375,0.45009673,0.42388734,0.41954908,0.44116142,0.47664,0.505181,0.5075126,0.47755325,0.4278141,0.3824966,0.36315855,0.37672326,0.41506103,0.45897844,0.48736632,0.48560777,0.45541748,0.41207126,0.3740518,0.35009336,0.3382969,0.33145142,0.3223422,0.30600092,0.28108236,0.2514379,0.22287725,0.19881652,0.17823754,0.15919735,0.14203148,0.1293472,0.12335115,0.12456808,0.13206074,0.14401509,0.15751608,0.1693428,0.17748368,0.18243082,0.1861943,0.19045436,0.19749045,0.21312945,0.24915127,0.31374654,0.39985546,0.47831103,0.5166139,0.50125897,0.45008722,0.39517507,0.36045894,0.3497045,0.35261092,0.35676003,0.35429725,0.34421626,0.32949463,0.31530502,0.30536413,0.30224398,0.3062655,0.3168845,0.3314212,0.34710383,0.36120784,0.37313434,0.38262817,0.3896339,0.39139614,0.38429913,0.36534595,0.33713225,0.30666855,0.2821121,0.26760855,0.26235947,0.2626246,0.2636042,0.26189438,0.25648072,0.249595,0.24453951,0.24360889,0.24671435,0.2519472,0.2561997,0.2566906,0.25240663,0.24557076,0.24001479,0.2386743,0.24104504,0.24415644,0.24442522,0.24032132,0.23251043,0.22365743,0.21628088,0.21208115,0.21098107,0.21194643,0.21322662,0.21348803,0.21226688,0.20998424,0.20744674,0.20848991,0.22316165,0.2666563,0.3438959,0.43678176,0.5056349,0.51970834,0.479497,0.41832212,0.371394,0.3545811,0.35864758,0.36598238,0.3628306,0.3471292,0.32473898,0.30409682,0.28963733,0.28076994,0.2740635,0.26611874,0.25508782,0.24099469,0.22657312,0.21774703,0.22228801,0.24784802,0.29578787,0.35931048,0.42248997,0.47126374,0.4989666,0.5111688,0.5180915,0.5307105,0.55357844,0.5809189,0.5959886,0.5812995,0.5341716,0.47096357,0.41613445,0.38470235,0.3761494,0.38003138,0.38552833,0.38666567,0.38254943,0.37543488,0.36815906,0.36275005,0.3603141,0.3613805,0.36537263,0.37047493,0.3740964,0.3749138,0.37337935,0.37168148,0.371632,0.37222812,0.3686136,0.35395584,0.32503387,0.28507146,0.24320674,0.20937891,0.19077049,0.18919401,0.20096149,0.21778071,0.23059909,0.23319687,0.22471917,0.20883764,0.19244935,0.18294491,0.18493424,0.19709475,0.21228427,0.22282767,0.22555225,0.22394562,0.22307445,0.2257229,0.22979432,0.2314369,0.22698623,0.21523578,0.19749784,0.17713343,0.15801108,0.1425396,0.13224638,0.13176776,0.15247463,0.20994556,0.30692723,0.4238967,0.52191234,0.57553977,0.58370405,0.5674527,0.53742486,0.49595395,0.44256887,0.39266655,0.36243415,0.3591783,0.37103748,0.38014367,0.37219527,0.34699395,0.31368852,0.28544295,0.27110514,0.27684867,0.304238,0.34916744,0.39743185,0.43225148,0.44378006,0.43708003,0.42704928,0.42957485,0.4513681,0.48566666,0.51442426,0.51997757,0.49785158,0.46063408,0.430099,0.42466393,0.45110965,0.49913263,0.5442473,0.5587487,0.5320346,0.47789386,0.42518356,0.3945886,0.38904905,0.3981198,0.41163254,0.42451382,0.43557015,0.44374725,0.44820186,0.44927192,0.44847068,0.44716963,0.44571087,0.44379815,0.44131216,0.43877247,0.4374974,0.43849325,0.4414251,0.44241476,0.43576765,0.4165695,0.3859812,0.35053924,0.31952623,0.2992737,0.29202762,0.29566452,0.3058015,0.3169302,0.325385,0.3303826,0.33401656,0.33828232,0.34364185,0.3487171,0.35218295,0.3537782,0.3543673,0.35476986,0.35512266,0.35515907,0.35494903,0.35501227,0.35569036,0.35663486,0.3570335,0.35620406,0.35397604,0.35050812,0.3460513,0.3408145,0.33474442,0.32753173,0.31861812,0.30810165,0.29691038,0.28901148,0.29229668,0.31920293,0.3751569,0.44890705,0.5080716,0.52286965,0.4869239,0.42694545,0.37810454,0.36250806,0.37714854,0.40665483,0.43402767,0.45103836,0.45637488,0.45481804,0.45083296,0.44769028,0.44585732,0.44554552,0.44638494,0.44783294,0.4487519,0.4486936,0.44849348,0.45021352,0.45524263,0.46278873,0.4694954,0.47219113,0.47063074,0.46819767,0.4702457,0.4808582,0.5011504,0.5241932,0.5370807,0.52570045,0.48941967,0.44174612,0.40527245,0.3944309,0.41191423,0.44485593,0.4748443,0.48245358,0.46329555,0.4269062,0.39545277,0.38531384,0.40341842,0.4394373,0.47471824,0.4869163,0.4683223,0.42805597,0.38985732,0.3726116,0.38333783,0.41332126,0.4467105,0.46638215,0.46431777,0.44515753,0.4240519,0.4159455,0.42798063,0.4556791,0.48535594,0.49949002,0.48772752,0.45498776,0.41967514,0.40161064,0.41004387,0.44047165,0.4764564,0.49763379,0.48794043,0.44806334,0.39420137,0.35193494,0.3389093,0.36033413,0.40264925,0.4458337,0.47068083,0.47766814,0.4747473,0.47221175,0.46492708,0.45283815,0.43691996,0.42663777,0.41861066,0.41318867,0.40831658,0.4100027,0.41275808,0.41537973,0.41608247,0.4221804,0.43084788,0.43993795,0.44441724,0.44606006,0.4399024,0.4242767,0.40062487,0.37881848,0.36173213,0.34587908,0.3253007,0.30187407,0.28060868,0.26390037,0.2495025,0.23519039,0.22143267,0.20918566,0.19798535,0.18619408,0.17334335,0.15998782,0.14695406,0.13461056,0.1234149,0.113447435,0.10408177,0.09417931,0.08416057,0.07718643,0.079047,0.09444904,0.1232722,0.15853812,0.19039242,0.21195637,0.22271019,0.22635724,0.22666295,0.22602333,0.22559752,0.22595108,0.22582854,0.2231294,0.21630447,0.20687191,0.19834274,0.19498496,0.19830929,0.20669942,0.21462376,0.2168522,0.2106675,0.19916761,0.18814583,0.18405092,0.18919481,0.20183635,0.21583347,0.22569549,0.2287206,0.22687942,0.2224472,0.2170843,0.21122886,0.20690608,0.20573659,0.20775343,0.21025354,0.21079981,0.20815992,0.20311244,0.19649225,0.18971695,0.18338187,0.17860937,0.17591985,0.17634094,0.17963327,0.18507172,0.1916638,0.19943516,0.20815758,0.21607184,0.22071274,0.22143196,0.22062238,0.22092517,0.22282694,0.22408737,0.22276825,0.2183278,0.21224539,0.20611657,0.20137118,0.19819713,0.19646402,0.19558132,0.19517924,0.1943865,0.1924332,0.18890738,0.184865,0.18249983,0.18439357,0.1913089,0.20113307,0.2094304,0.21284229,0.21139514,0.20836508,0.20689873,0.20799123,0.21058011,0.21385644,0.21791892,0.22337218,0.22946452,0.23424166,0.23531151,0.23298974,0.23079485,0.23466647,0.24829368,0.27119145,0.2983334,0.32329568,0.34043702,0.3469037,0.34392822,0.335907,0.32810938,0.32247874,0.31806293,0.31272146,0.30665424,0.301293,0.29733312,0.29246354,0.28205988,0.2627233,0.23569053,0.20862268,0.18998514,0.18367411,0.18495739,0.18716836,0.18619649,0.1835302,0.18042111,0.17663527,0.17048448,0.16268034,0.15661843,0.15762885,0.1699887,0.19329403,0.22059076,0.24166207,0.24940349,0.24365933,0.22935094,0.21326679,0.20192069,0.19988663,0.20719089,0.21838202,0.22660981,0.22804688,0.22379847,0.21657653,0.20843202,0.20004158,0.19203538,0.18557672,0.1819434,0.18201087,0.1855485,0.19126485,0.1969284,0.19997697,0.19839923,0.19165075,0.18112616,0.16913378,0.1575344,0.14696498,0.1378539,0.1313458,0.12916018,0.13202526,0.13874315,0.1467029,0.15348786,0.15790261,0.15996933,0.16037093,0.16008425,0.1599546,0.1603124,0.16099906,0.16187847,0.16296792,0.16379686,0.16322376,0.16039647,0.1560059,0.15204,0.15015353,0.15049529,0.15189391,0.15314482,0.15364413,0.15351349,0.15305887,0.15262862,0.15245731,0.15269701,0.1533493,0.15423504,0.15521269,0.15628694,0.15768488,0.15939742,0.16095869,0.16183704,0.16288774,0.16760796,0.1811086,0.20639777,0.24059589,0.27539745,0.30237356,0.31825542,0.32572094,0.3289758,0.3303053,0.32945988,0.32633778,0.32176673,0.3171327,0.3129255,0.3091372,0.30598843,0.30449143,0.30577835,0.31037346,0.31749868,0.32502377,0.32974896,0.3290243,0.3220578,0.3107376,0.29815814,0.28740597,0.2800052,0.27620056,0.274986,0.2754368,0.27672443,0.2786182,0.28053167,0.28206202,0.28264433,0.28217614,0.2807124,0.27864337,0.2768416,0.27587172,0.27586815,0.27555454,0.27368036,0.26935145,0.26310694,0.25596303,0.24873008,0.24188417,0.23569237,0.23114951,0.22901793,0.22989936,0.23302495,0.23708934,0.24045528,0.24242173,0.24321513,0.24353398,0.24384476,0.2440805,0.24387318,0.24234824,0.23844607,0.23184244,0.22359432,0.21549708,0.2077992,0.1991214,0.1878738,0.17511605,0.16384064,0.1572622,0.15686184,0.16377275,0.17924236,0.2037486,0.23401962,0.2636672,0.28622004,0.29936168,0.30473548,0.30579913,0.30431613,0.29979372,0.29002962,0.273599,0.2512834,0.2263239,0.20306437,0.18524516,0.17561992,0.17508905,0.1828232,0.19541661,0.20885819,0.21981013,0.22751968,0.23283832,0.23722517,0.24089535,0.24221168,0.23782937,0.2249556,0.20399658,0.18016084,0.16163011,0.15567087,0.1647958,0.18588728,0.2126016,0.23897345,0.2613405,0.27736366,0.28463423,0.28139052,0.26901966,0.25293034,0.23982792,0.23384762,0.23491473,0.2405373,0.24784887,0.25435948,0.25741982,0.25534293,0.24888052,0.24201381,0.23933215,0.243313,0.25242093,0.26257768,0.2691985,0.26965448,0.2641459,0.2554609,0.24757713,0.24397956,0.24658726,0.25498798,0.26649776,0.2772168,0.2842785,0.28781548,0.29054797,0.29553866,0.30384398,0.31439996,0.32521495,0.3345085,0.34130427,0.34548256,0.34811544,0.35056153,0.3537134,0.35693538,0.35914323,0.3599821,0.36086822,0.36326683,0.3672949,0.37110946,0.37341762,0.37395403,0.3736947,0.3727747,0.37165996,0.3707538,0.37096182,0.3717179,0.3719866,0.3704603,0.36736953,0.3633035,0.35967317,0.35719812,0.35648742,0.3566098,0.35610452,0.35287476,0.3459165,0.33530614,0.3225881,0.30941334,0.2968936,0.28525427,0.27463832,0.26556405,0.2582917,0.25229165,0.24576099,0.23686053,0.22619729,0.22085822,0.23537236,0.2838665,0.36533162,0.45610633,0.5205879,0.53692675,0.51041055,0.46742287,0.43179032,0.41356194,0.40889847,0.41139045,0.41606924,0.42111158,0.42492995,0.4261789,0.42282557,0.41441724,0.40245494,0.39125678,0.38432765,0.38325986,0.38642883,0.39269653,0.40139577,0.41265547,0.42303208,0.42658237,0.41731977,0.39549926,0.36732498,0.34058738,0.31852496,0.29946968,0.28079817,0.2627111,0.24811943,0.23999377,0.23864849,0.24132304,0.24333335,0.24144675,0.23575847,0.23029132,0.22884865,0.23214614,0.23530589,0.23135418,0.21512707,0.1888199,0.16254468,0.15012038,0.15998054,0.18843816,0.22100933,0.24116196,0.2402631,0.22184968,0.19883005,0.18541692,0.18863578,0.20501107,0.22463973,0.23926602,0.24667288,0.24939696,0.25039482,0.25089926,0.25102487,0.2510438,0.25179687,0.25320363,0.2545265,0.2556546,0.2609338,0.2760652,0.3031188,0.3336253,0.3553112,0.36005035,0.3516276,0.33899888,0.3301345,0.32676652,0.32750776,0.32960424,0.33112073,0.33087912,0.3292059,0.32771552,0.3292022,0.33787417,0.3583413,0.39267707,0.4364198,0.4789137,0.509456,0.52517706,0.5333592,0.54578084,0.5668554,0.5886448,0.59375316,0.5719957,0.527203,0.47720826,0.43805885,0.41801396,0.41519654,0.4246944,0.44024563,0.4561932,0.46743178,0.4713405,0.46854082,0.46216774,0.45634508,0.4538803,0.45575646,0.4602661,0.46478498,0.46688023,0.46663454,0.46547267,0.46385428,0.45780146,0.44089237,0.40888333,0.3658328,0.32165447,0.28708878,0.2663095,0.25783992,0.2566934,0.25850987,0.25944528,0.255993,0.24436551,0.22289006,0.19472498,0.16979384,0.15941088,0.1692449,0.19352607,0.21958064,0.23476036,0.23344588,0.21841538,0.2003448,0.19297314,0.20587961,0.23820484,0.28063712,0.32164308,0.35388777,0.3737372,0.3811109,0.37720773,0.36711285,0.35877743,0.3649274,0.3915576,0.43314984,0.46935955,0.48907813,0.49588284,0.50543684,0.51684356,0.51700187,0.49325073,0.45470166,0.42076862,0.4059318,0.40711522,0.41046676,0.40087333,0.3715414,0.32597926,0.276375,0.2380334,0.22520226,0.24605012,0.2976161,0.36420056,0.4238329,0.46197394,0.47793332,0.4832232,0.4900031,0.50600785,0.5283454,0.54683214,0.5471491,0.52492654,0.48862615,0.45796028,0.4478955,0.46396887,0.49689865,0.5304224,0.54437923,0.5298881,0.49315146,0.4552085,0.43438068,0.43696412,0.4553522,0.47839198,0.49845776,0.513514,0.52437955,0.5319176,0.5362821,0.53723997,0.53512853,0.5307018,0.52529734,0.52010876,0.51638174,0.5145977,0.51507944,0.5175378,0.5200898,0.5168526,0.49833128,0.45708993,0.3951033,0.32549456,0.2650191,0.22463866,0.20629601,0.20649095,0.22053486,0.24297349,0.26673076,0.28312525,0.28482813,0.27080914,0.24988103,0.23771334,0.24571885,0.27201763,0.3025922,0.32315814,0.32854939,0.32380238,0.3175671,0.31604174,0.3202997,0.32702598,0.33133706,0.328746,0.3168781,0.2961081,0.27069592,0.2485344,0.23746686,0.24129754,0.2563808,0.27442464,0.28607163,0.2864335,0.27700302,0.26478562,0.25834906,0.2622808,0.27516696,0.2891008,0.29406866,0.28407517,0.26407337,0.24955845,0.256229,0.28732124,0.33189908,0.3742436,0.40544793,0.42347428,0.42920777,0.4224122,0.4047612,0.38117015,0.35849497,0.3412489,0.3281465,0.31499875,0.30033335,0.29262587,0.3038473,0.34005857,0.39116284,0.4406335,0.47481298,0.49339548,0.5028856,0.51458406,0.53312516,0.55508333,0.56508416,0.55201167,0.5168116,0.47610137,0.44546103,0.43113843,0.42857528,0.43200073,0.43839136,0.44805852,0.46092293,0.47655937,0.49400616,0.5141451,0.5365347,0.55739313,0.5693175,0.56797695,0.55606216,0.53765744,0.51287997,0.47895646,0.4431579,0.42017436,0.4225562,0.4450756,0.47301522,0.49246025,0.50157547,0.504148,0.50502247,0.5050332,0.5035853,0.49999312,0.4953387,0.49115157,0.48918578,0.4909395,0.49904934,0.5125738,0.52690905,0.53347296,0.5314107,0.52294093,0.51271206,0.49672642,0.4779662,0.46225655,0.46045545,0.4678892,0.4784737,0.48514807,0.49122456,0.49372056,0.4919875,0.4859141,0.48212788,0.48098874,0.4810849,0.48200694,0.4866687,0.4932085,0.49578294,0.49353358,0.49057886,0.49066952,0.4906049,0.49041998,0.49111816,0.49383354,0.49137333,0.48209596,0.47018185,0.46606138,0.47242284,0.48814788,0.5070831,0.5227552,0.5260853,0.5160172,0.49860895,0.4855162,0.4803963,0.48479202,0.49524817,0.509157,0.51635116,0.51322836,0.5020797,0.49495146,0.49525428,0.50217235,0.5083475,0.5091528,0.4950792,0.46061945,0.4075464,0.35060915,0.30534562,0.28091916,0.27621284,0.2853043,0.29994723,0.31294635,0.31994656,0.32118323,0.3196658,0.3181425,0.31757137,0.3170962,0.31552017,0.31148535,0.30456188,0.2954752,0.28651986,0.2803733,0.27897024,0.28277764,0.29113176,0.30252635,0.31459853,0.32433894,0.32913586,0.32849196,0.32425523,0.31945762,0.31585693,0.3133696,0.3107932,0.3076446,0.30440587,0.3018318,0.29988202,0.29782283,0.29509634,0.2922089,0.29077852,0.29234764,0.297094,0.3033136,0.30877993,0.312063,0.31301713,0.31182837,0.30843318,0.30293944,0.29591307,0.2882668,0.27937415,0.2671643,0.24857415,0.22280449,0.19204652,0.16204865,0.13921994,0.12789786,0.12682073,0.12940593,0.12776567,0.118730724,0.1068325,0.100832045,0.10760195,0.12660897,0.15149392,0.17413908,0.19036849,0.20002937,0.20518412,0.2064483,0.2025371,0.19180779,0.17464215,0.15386464,0.13257927,0.11249248,0.094492815,0.08089902,0.075432874,0.07993382,0.09139472,0.10242871,0.1057399,0.09811,0.08233444,0.065663405,0.056846317,0.06133363,0.07851551,0.1015448,0.12238709,0.13596642,0.1423562,0.14411229,0.14403415,0.14332116,0.14189173,0.13858263,0.1325913,0.12410136,0.114815146,0.10649196,0.100201726,0.095673926,0.09213495,0.08901497,0.086262405,0.08397192,0.0815072,0.077899,0.07253023,0.066200696,0.060315598,0.055957746,0.053096566,0.05144227,0.05139397,0.05438019,0.061668184,0.07266886,0.08435395,0.092869334,0.09641283,0.09627523,0.09522927,0.09460408,0.09388956,0.0920732,0.089173526,0.085546464,0.081315845,0.07623755,0.07024193,0.06292873,0.053697675,0.042746942,0.032385897,0.02644106,0.027851468,0.036393587,0.04820065,0.05801661,0.06268682,0.06374905,0.06627611,0.0749208,0.09017217,0.10865247,0.12574376,0.13838631,0.14553897,0.14846534,0.15087716,0.15783155,0.17275302,0.19428714,0.2167847,0.2330672,0.23778196,0.22904873,0.21023737,0.18953311,0.17676254,0.17656644,0.18622541,0.19809447,0.2062639,0.208667,0.20658843,0.20218827,0.19759323,0.19422452,0.1927595,0.19341041,0.19615656,0.20018663,0.20369236,0.20459704,0.20204641,0.19676447,0.19043423,0.18455724,0.1798947,0.1762523,0.17306073,0.17022441,0.16834088,0.16790517,0.16817553,0.16917472,0.17458309,0.19509828,0.24194586,0.31680194,0.39968714,0.45746794,0.46360293,0.42168096,0.3615075,0.31795895,0.30611193,0.3192414,0.34081447,0.35938272,0.3714057,0.37872744,0.38330635,0.3868537,0.38978425,0.39273223,0.3950726,0.39636084,0.39552322,0.3929396,0.38931832,0.38648137,0.38469204,0.38072577,0.36594117,0.33012778,0.2698227,0.19365555,0.1191605,0.061651554,0.026575109,0.0096099125,0.0030787308,0.00097632065,0.00034413426,0.0001427171,0.00017152129,0.0008701628,0.0032524066,0.0086368965,0.017091012,0.027402237,0.03679448,0.043600973,0.04629892,0.045589983,0.04380605,0.048697304,0.06929717,0.10928378,0.15758592,0.19166254,0.19178386,0.15676709,0.10641535,0.068748556,0.06393125,0.093962215,0.1426348,0.18290512,0.1917737,0.16657451,0.13138507,0.12664948,0.17966731,0.28407487,0.39629695,0.4709086,0.48854795,0.47121024,0.4516127,0.44871107,0.45090148,0.43590084,0.38832644,0.31463614,0.23403901,0.16677177,0.12227949,0.10191834,0.10424945,0.12867439,0.16902484,0.21015064,0.23071729,0.21916811,0.1838973,0.15367617,0.15974407,0.21545406,0.30718932,0.4027547,0.47518992,0.5136721,0.5261205,0.5246151,0.52267766,0.52666897,0.5358918,0.53949374,0.5297252,0.50993323,0.49503127,0.49569765,0.5108032,0.5302835,0.54701734,0.56022793,0.572593,0.5847407,0.5950349,0.60160714,0.6044812,0.6050887,0.60513896,0.6058855,0.6082737,0.6127517,0.6185768,0.62335753,0.62334466,0.61373717,0.5888583,0.5440609,0.47989455,0.40575483,0.3373082,0.28844023,0.26347256,0.25696066,0.25951627,0.2642962,0.26870644,0.27288118,0.27741978,0.28386787,0.29563916,0.31770584,0.35121647,0.38911083,0.41642442,0.42079234,0.4013654,0.3726019,0.35468924,0.36333194,0.39614153,0.43277833,0.44257677,0.40937865,0.34291044,0.27425987,0.22852214,0.20805955,0.19716144,0.18270747,0.16882622,0.16759805,0.18311317,0.2017173,0.20689237,0.19609778,0.18478996,0.18872483,0.2057734,0.2187423,0.21343721,0.19571143,0.18250512,0.1844316,0.19317037,0.19456947,0.18530785,0.17810534,0.18600242,0.20613126,0.22242348,0.22280777,0.21378909,0.21111506,0.22190623,0.23507811,0.23536687,0.22113001,0.20662351,0.20612766,0.21801479,0.22915296,0.23017883,0.2271501,0.23200522,0.24860723,0.26873007,0.2858031,0.3073106,0.34527627,0.39890695,0.4442772,0.45793414,0.43531772,0.39852345,0.37116364,0.36432347,0.37170044,0.38370577,0.393818,0.40086934,0.40479374,0.405993,0.40462267,0.40222776,0.40037796,0.40069875,0.40304184,0.40638253,0.40904748,0.41024587,0.4103686,0.40983152,0.40687737,0.39644492,0.3734802,0.33785972,0.29644597,0.25887027,0.23170315,0.21621303,0.21069229,0.2129003,0.22018011,0.2289288,0.23552823,0.2381822,0.23733227,0.2345538,0.2314582,0.22879285,0.22604774,0.22105134,0.2117697,0.19828713,0.18380964,0.17267632,0.16806786,0.17064814,0.17836647,0.18702058,0.19192831,0.19108887,0.18663728,0.18361896,0.1859625,0.19388892,0.20319444,0.20795524,0.2039965,0.19201855,0.17855836,0.17463665,0.193953,0.24356614,0.31592813,0.38366643,0.41804358,0.40789118,0.3716711,0.3388703,0.32907724,0.33789375,0.34603217,0.3342782,0.29812723,0.24904813,0.20590407,0.18111844,0.1748751,0.17894931,0.18504697,0.18891732,0.18957938,0.18772487,0.18494393,0.18499185,0.19412582,0.22246277,0.27765954,0.35852554,0.44848704,0.5263881,0.5786791,0.608482,0.6265683,0.6413348,0.65239453,0.6535637,0.63704544,0.6004815,0.55115336,0.5056435,0.479153,0.4762939,0.4890668,0.5054112,0.5170309,0.5220194,0.5220942,0.5196049,0.5161703,0.5126481,0.5095512,0.5072898,0.5062353,0.5064079,0.50754166,0.50930595,0.5116183,0.5143345,0.51576567,0.51192707,0.49587378,0.46235776,0.4110656,0.3510563,0.29496208,0.2543999,0.23299275,0.22865586,0.23495953,0.2453266,0.25422764,0.2595568,0.26332828,0.27092633,0.28887284,0.31908953,0.35515693,0.3814087,0.38403735,0.3609852,0.32777086,0.3071028,0.3185084,0.36545488,0.43361202,0.4925615,0.5160634,0.49974725,0.46937045,0.4567962,0.475453,0.50903565,0.5347217,0.5434782,0.5471642,0.5591236,0.58081985,0.60216403,0.6155004,0.6235493,0.632465,0.6416859,0.6412463,0.6230309,0.5904665,0.55751806,0.5353694,0.5221528,0.50364935,0.46646285,0.4088973,0.343915,0.28871742,0.25581244,0.24873883,0.26900533,0.31627932,0.38596854,0.4617207,0.5237681,0.55894756,0.5706992,0.5713994,0.572419,0.573749,0.5665157,0.54150206,0.5017637,0.46312436,0.44469166,0.45385954,0.48474264,0.5227725,0.55338836,0.5641124,0.5506181,0.52042514,0.49036837,0.475417,0.4783157,0.49182978,0.50601643,0.51601934,0.5214116,0.524449,0.5270701,0.5299296,0.5320923,0.5322173,0.52986115,0.52580047,0.52141327,0.5182891,0.517832,0.52050334,0.5252554,0.5285792,0.52505904,0.50682276,0.46869195,0.41161454,0.3470703,0.2898589,0.25168014,0.23440792,0.23315477,0.2401724,0.24898285,0.25629207,0.26135817,0.26510355,0.26710895,0.26628813,0.26137096,0.25310174,0.24328297,0.23463082,0.22954047,0.22975427,0.23438932,0.24012436,0.24227118,0.2386713,0.23036282,0.22177602,0.21706675,0.21871184,0.22545189,0.23403893,0.24088512,0.2438672,0.24215358,0.23559183,0.22535151,0.21406019,0.20489337,0.19938534,0.19660358,0.19440632,0.19094269,0.18616445,0.18178944,0.18117094,0.187672,0.2031232,0.22647643,0.25204858,0.27115273,0.27505514,0.26315734,0.2426427,0.22502154,0.21557553,0.21318488,0.21248423,0.21045506,0.20610976,0.20063734,0.19549793,0.19416761,0.20191927,0.22745192,0.27802274,0.3544606,0.4444562,0.52828044,0.5884335,0.6201684,0.6301419,0.628751,0.62176514,0.6065729,0.5779245,0.53584194,0.49267855,0.4654826,0.46480682,0.48469877,0.5079482,0.51549363,0.50066483,0.47306836,0.45522055,0.46222818,0.49095115,0.52040106,0.5336686,0.52613705,0.50737655,0.48856154,0.4816822,0.4905508,0.50997096,0.5241184,0.521956,0.5030003,0.47682366,0.45195448,0.43469414,0.43031827,0.44264388,0.469874,0.5016698,0.52367777,0.5241502,0.504345,0.48021117,0.47278202,0.48957944,0.51877016,0.5404775,0.54401356,0.530667,0.50959396,0.49190652,0.48915872,0.5033464,0.524142,0.53408575,0.52519625,0.5001938,0.4684433,0.43751934,0.41680643,0.41425237,0.4328551,0.4649885,0.49626407,0.5110238,0.50018483,0.46710315,0.42915848,0.40792832,0.41572118,0.4474534,0.4858983,0.51110286,0.5106315,0.4854149,0.45127535,0.4297086,0.43452564,0.46295688,0.4999814,0.52742267,0.5340259,0.52037257,0.50056994,0.4915155,0.49977097,0.5159647,0.52691245,0.5275681,0.520672,0.50971586,0.49808407,0.4932799,0.5018597,0.5205329,0.5377689,0.54574937,0.5475444,0.54866654,0.54945755,0.54601794,0.5352924,0.5156898,0.4830909,0.4362806,0.3795371,0.32514,0.28309897,0.2576747,0.2449792,0.23888524,0.23398696,0.22848475,0.22363655,0.22246031,0.2272824,0.23834544,0.2532244,0.26804498,0.2788302,0.28337845,0.28209898,0.27758864,0.27263382,0.26752028,0.2590396,0.24208146,0.21474193,0.18249321,0.15765409,0.15073216,0.16139324,0.17696993,0.1831336,0.17521758,0.16135363,0.15373905,0.16097434,0.18300624,0.21328197,0.23794807,0.24406953,0.22559845,0.1921737,0.15955146,0.14030387,0.13291627,0.12956287,0.12405638,0.12010723,0.12549992,0.14451295,0.17213516,0.19856216,0.21685143,0.22715975,0.23364675,0.23981673,0.24565911,0.24999906,0.25117555,0.24958088,0.24590264,0.24200173,0.23834199,0.23484536,0.23067677,0.22604768,0.22186036,0.21913655,0.21835594,0.21950889,0.22266828,0.22747286,0.23310299,0.23850591,0.24358557,0.25011346,0.2581605,0.26481155,0.26237717,0.24683101,0.21965326,0.18964557,0.16548277,0.15455756,0.16192214,0.18891339,0.23031564,0.2731746,0.30506802,0.32016993,0.32265058,0.31978694,0.31693158,0.3144944,0.3102597,0.30266225,0.29320404,0.28689164,0.29070342,0.3105333,0.35009515,0.40547106,0.46519852,0.5095852,0.52537864,0.512062,0.48506996,0.46053907,0.4473575,0.44414517,0.4467086,0.45174626,0.45770344,0.46359444,0.46874246,0.47289276,0.47545397,0.47544876,0.4720583,0.46594164,0.45857063,0.45117405,0.44372562,0.4364432,0.4306377,0.42836308,0.42983046,0.43179157,0.42886567,0.41717908,0.39840257,0.37921557,0.3674325,0.3663145,0.37255728,0.3789909,0.37898922,0.3710858,0.35814545,0.3455167,0.3355663,0.32716706,0.3166567,0.3020797,0.28396013,0.2639027,0.2430482,0.22253782,0.20578237,0.19812499,0.20484263,0.2261688,0.25578037,0.28124693,0.2909434,0.2801213,0.25554246,0.2327385,0.22668135,0.24472672,0.28327858,0.3370706,0.3984945,0.45978698,0.5065325,0.5320528,0.539179,0.5413117,0.54259616,0.53945184,0.52619076,0.5083795,0.49504516,0.48888424,0.47994933,0.45404792,0.404096,0.33646762,0.26693997,0.21108063,0.17912717,0.17827107,0.21559525,0.2915394,0.39110503,0.48527965,0.54873854,0.57531303,0.5789717,0.5784711,0.5842631,0.59370214,0.59724087,0.5865149,0.56164324,0.53113294,0.5070491,0.4979556,0.5066975,0.5281961,0.55180246,0.5630484,0.55476564,0.53003454,0.50240964,0.483126,0.47652605,0.47825703,0.48206648,0.4832039,0.4809278,0.47737658,0.47547027,0.47659263,0.48011538,0.4848921,0.49017176,0.49580708,0.50115705,0.5058489,0.5095902,0.51217514,0.5125206,0.5092872,0.5022835,0.4913777,0.4753571,0.45100197,0.41741636,0.378137,0.3404076,0.31002805,0.28908208,0.27639997,0.2693677,0.26360178,0.2545993,0.23988783,0.22278635,0.20943938,0.20552087,0.21114703,0.22268866,0.23519559,0.24609005,0.25493714,0.26122692,0.26464593,0.2665681,0.27206036,0.28423604,0.29964367,0.30906054,0.30608055,0.29242966,0.27412677,0.2563022,0.24169159,0.23459338,0.23922324,0.25670245,0.28228232,0.3096514,0.3337846,0.3530357,0.36672208,0.37517437,0.3775567,0.37326267,0.3625548,0.34997728,0.34251475,0.34492287,0.3549856,0.36484334,0.36682972,0.35784304,0.3393208,0.31529936,0.2904663,0.26971313,0.2559543,0.24918084,0.24617703,0.2431633,0.23841126,0.23544444,0.24382289,0.27738515,0.3429483,0.43232575,0.5194957,0.58077717,0.6068205,0.6105335,0.60784954,0.6115888,0.6201833,0.6247394,0.60708356,0.555257,0.47131872,0.3769263,0.29765227,0.2486362,0.22814427,0.22530238,0.2294121,0.23445444,0.23864359,0.2422661,0.24607678,0.25020683,0.2540497,0.25711372,0.25980553,0.26325658,0.26818725,0.27413693,0.27961525,0.28269485,0.28153238,0.2750096,0.26366886,0.25043496,0.23969574,0.23527633,0.23824055,0.24672246,0.25736782,0.26736546,0.27536067,0.28111425,0.28480542,0.28669956,0.2871214,0.28641024,0.28470865,0.28226936,0.2798412,0.2788274,0.28048372,0.28478476,0.29007253,0.29368532,0.2937378,0.28995225,0.28372118,0.27640614,0.2685405,0.25989437,0.25079843,0.2427337,0.23751296,0.23636681,0.23890139,0.24398212,0.2499348,0.2560754,0.26197562,0.26756698,0.271647,0.27311847,0.2718282,0.2699982,0.27065036,0.2754852,0.28315535,0.29035,0.2940484,0.29414442,0.2930052,0.29418346,0.29876548,0.30562532,0.31180558,0.316417,0.32062244,0.3280692,0.34113672,0.3599585,0.38041332,0.39755917,0.40751588,0.41097438,0.41099048,0.41160294,0.41423377,0.41833353,0.42142412,0.4224863,0.4222289,0.4249997,0.43609342,0.4612914,0.5003453,0.5442354,0.5743548,0.5745157,0.54254115,0.4937304,0.4490228,0.42089498,0.40869144,0.4048504,0.4031072,0.40166655,0.40111664,0.40219423,0.40451133,0.40752146,0.41043517,0.41261494,0.41336453,0.412842,0.41169834,0.41030526,0.40761206,0.40271485,0.39647582,0.3920618,0.3911636,0.3918656,0.38920227,0.38014638,0.36613142,0.35213867,0.34342313,0.3413985,0.3428283,0.33978844,0.3278921,0.30953586,0.29478765,0.2888833,0.2904156,0.29253364,0.29341465,0.29110053,0.28077757,0.2534708,0.20823072,0.15724438,0.121584356,0.11966524,0.15601154,0.22047853,0.29078382,0.3468643,0.37798154,0.38808474,0.38668123,0.38282406,0.37976387,0.37730464,0.3740225,0.36938724,0.36416817,0.35972166,0.3575829,0.35784134,0.35970345,0.36091065,0.36085215,0.35934195,0.35738778,0.35394478,0.34774616,0.3378679,0.32361934,0.30387214,0.27572343,0.24025048,0.20191358,0.16964972,0.14987199,0.14705148,0.16068812,0.18609197,0.21232252,0.22750922,0.22377563,0.20401323,0.18108357,0.176152,0.20597811,0.27354777,0.36088145,0.4437914,0.5051486,0.5447572,0.56944877,0.5856416,0.59527093,0.5971387,0.5886732,0.5661389,0.5312078,0.49142396,0.45928797,0.44303104,0.4440255,0.4569955,0.47499517,0.49224916,0.5055123,0.5139935,0.5184663,0.52030206,0.5206278,0.5203673,0.5197489,0.51807016,0.51327723,0.5043615,0.49290404,0.48369002,0.4801594,0.4807817,0.47785667,0.46292523,0.43345174,0.39630833,0.36360136,0.34304357,0.33073473,0.31407925,0.28352693,0.24360801,0.21033455,0.19997226,0.21586059,0.24941342,0.28550634,0.31304657,0.32585725,0.32400003,0.31097317,0.29329726,0.27874961,0.2718648,0.27281785,0.27605486,0.27716187,0.2750225,0.27263746,0.26998642,0.26142958,0.24043731,0.20915882,0.1806724,0.16989629,0.1839556,0.22232662,0.28288952,0.36006132,0.43954077,0.49907222,0.52738184,0.52992034,0.524338,0.51695234,0.5067883,0.49035493,0.4752414,0.46626556,0.4614787,0.44803825,0.41668364,0.3663353,0.30783638,0.25490066,0.22058223,0.21291833,0.2384065,0.297411,0.38017702,0.46431205,0.52715915,0.559222,0.56845725,0.5699335,0.57345724,0.5792062,0.5812278,0.57390136,0.55695105,0.53681284,0.5229325,0.52220416,0.53485775,0.5561249,0.57628983,0.5848066,0.57195014,0.53866845,0.4958305,0.46118653,0.44486114,0.44650838,0.45641264,0.46572116,0.47010645,0.4706812,0.47005618,0.46966383,0.46952948,0.46968174,0.47176373,0.4770006,0.48461103,0.49082544,0.4918505,0.48599926,0.47507605,0.46309617,0.45384467,0.44878218,0.445848,0.4413993,0.43046156,0.40760064,0.368693,0.31670037,0.2657529,0.23337285,0.22872539,0.24239142,0.25537133,0.25010887,0.22392108,0.18707435,0.15951419,0.1557718,0.17695612,0.20484297,0.21844834,0.20772767,0.18399686,0.16537316,0.1642868,0.17953008,0.20349099,0.22828948,0.24808888,0.2592882,0.2606747,0.2541525,0.24271889,0.22727488,0.20691122,0.18154038,0.1580575,0.14946146,0.16696167,0.20957935,0.26162204,0.30448,0.3276839,0.33373144,0.32910296,0.31652322,0.29560694,0.26877937,0.24821329,0.24609734,0.26871368,0.30681777,0.34779906,0.37954426,0.3994108,0.40702236,0.40394008,0.38948444,0.36334595,0.32605502,0.28125855,0.23599009,0.19976085,0.18341434,0.19771743,0.25075087,0.34029242,0.44909248,0.5484453,0.61471003,0.64167994,0.64235455,0.6345124,0.6294159,0.6236729,0.60759395,0.5742117,0.53173465,0.4983935,0.49023733,0.50763553,0.5347859,0.55072284,0.5409089,0.5073771,0.46745476,0.4444073,0.45090473,0.48161104,0.51799697,0.5406974,0.5387068,0.5135742,0.47931495,0.45535406,0.45495245,0.47609282,0.5046,0.52353317,0.5226442,0.5018652,0.47212958,0.45073512,0.45228755,0.47921643,0.5201893,0.5555692,0.5676996,0.5496361,0.512023,0.47780868,0.4684427,0.4880186,0.5221532,0.5485813,0.55024475,0.5234798,0.4791033,0.4391775,0.42328706,0.4378713,0.47153592,0.50638527,0.5261185,0.52497524,0.50686157,0.48695162,0.47857594,0.48601928,0.49922892,0.50848985,0.5081492,0.4997531,0.48510048,0.47229335,0.47007015,0.48232046,0.49932918,0.5085908,0.5035793,0.487782,0.4683965,0.45520496,0.4570496,0.47537997,0.49969372,0.5151441,0.51449925,0.50069577,0.48260736,0.4703629,0.47414792,0.4962534,0.52736706,0.5511308,0.5584554,0.5506739,0.53412455,0.5136795,0.49502325,0.4841869,0.48320365,0.4867792,0.48982346,0.49129343,0.49394724,0.4959369,0.49591506,0.49249032,0.48854482,0.48318937,0.47996166,0.48223063,0.49282494,0.50100994,0.49361947,0.4656223,0.42990184,0.40316656,0.3932501,0.3944905,0.39688957,0.3940914,0.38583708,0.37499914,0.36526057,0.35935768,0.3594261,0.3653661,0.3752571,0.3851637,0.39201605,0.39464274,0.3942922,0.3931323,0.3925424,0.3916705,0.38688433,0.3738931,0.35135934,0.3229914,0.2957901,0.27545968,0.26377556,0.25848734,0.25584963,0.25273567,0.2483884,0.24423182,0.24216896,0.24276368,0.24495281,0.24766307,0.25032488,0.25248882,0.25273588,0.25030655,0.24634676,0.24403663,0.24541909,0.24998732,0.25515446,0.25888512,0.26032963,0.25967276,0.25727907,0.25389132,0.25037256,0.24762206,0.24609327,0.2457946,0.24609323,0.24586363,0.24331993,0.23835675,0.23578507,0.2486283,0.28958765,0.35812572,0.43003047,0.47284105,0.46913698,0.43284056,0.39379874,0.3740445,0.3725734,0.3738471,0.3632172,0.33756563,0.30460894,0.2752814,0.2567806,0.24838959,0.2453903,0.24225748,0.23750506,0.23100697,0.22444804,0.21946055,0.22140105,0.23868334,0.28086147,0.34850296,0.4282136,0.49568725,0.5330858,0.54041654,0.5338755,0.53102285,0.5397084,0.55651647,0.5705932,0.57055086,0.55205995,0.52280724,0.49808598,0.489298,0.49698076,0.51342726,0.5308428,0.545414,0.55612653,0.5618436,0.5609228,0.5529444,0.54053885,0.52871686,0.5223479,0.523627,0.53173757,0.54424816,0.55849963,0.5715928,0.579238,0.5748735,0.5514714,0.50550175,0.44135347,0.37080035,0.30867782,0.26529405,0.24343874,0.23784482,0.24088228,0.24525066,0.24796504,0.24772684,0.24533169,0.2408721,0.23608983,0.23343207,0.23621583,0.2447993,0.255442,0.26238728,0.26271233,0.2588824,0.25550762,0.25572738,0.25902557,0.26294088,0.2635466,0.2568861,0.24152893,0.2203582,0.19943719,0.18295681,0.17187649,0.16657157,0.17181046,0.19876324,0.2568862,0.34362873,0.43676186,0.50871617,0.5446628,0.55277914,0.5486694,0.5411797,0.53031224,0.5189735,0.51428443,0.5191749,0.52499384,0.5172818,0.48788473,0.44159377,0.392118,0.35209945,0.32729027,0.31921878,0.3321645,0.37105396,0.43331084,0.50157166,0.55489177,0.5818341,0.58889645,0.58978176,0.5952652,0.60513043,0.61128515,0.60407156,0.58182603,0.55416733,0.5355106,0.53479075,0.5499699,0.5714192,0.5862624,0.582999,0.5574829,0.51774323,0.48132277,0.46258834,0.4633505,0.4736571,0.48193136,0.48265278,0.4769973,0.46964476,0.46479878,0.464847,0.46947673,0.47692654,0.48498383,0.49192595,0.49659517,0.4981096,0.49611863,0.4912323,0.48553145,0.48176226,0.48061082,0.47847557,0.46797812,0.44372213,0.4071035,0.36739096,0.33491668,0.31535697,0.30686578,0.30446002,0.30375895,0.30330148,0.30308083,0.30290887,0.30210456,0.30003974,0.2972993,0.2949376,0.29373944,0.29301843,0.29138163,0.28774735,0.28243086,0.2769539,0.27308103,0.2722759,0.27510166,0.28140447,0.28946474,0.29643217,0.29918435,0.29644966,0.28937054,0.28016463,0.27040353,0.26039264,0.25053102,0.24174643,0.23520726,0.23123151,0.22899282,0.22693793,0.22312371,0.2164489,0.20740213,0.19924913,0.19740559,0.20797546,0.23379155,0.2705803,0.30660012,0.32871842,0.3312997,0.31914887,0.30278394,0.2898945,0.2825835,0.2789315,0.2768931,0.27500576,0.2725408,0.268993,0.266487,0.2714515,0.29560944,0.34621513,0.41776502,0.48690686,0.5312726,0.5432458,0.539063,0.5383776,0.5526667,0.57388043,0.58640337,0.57521987,0.54150695,0.50191814,0.4799498,0.48715147,0.51730704,0.55135256,0.5704036,0.5637152,0.5351927,0.50177073,0.48479727,0.49516952,0.52730805,0.56400305,0.5863499,0.5818949,0.5500683,0.505638,0.47150418,0.46461722,0.4840939,0.5140355,0.5346013,0.5336333,0.51179665,0.48326978,0.46687403,0.47491416,0.50427395,0.54130405,0.56873614,0.5738583,0.551551,0.51083976,0.47136697,0.4538084,0.464125,0.49336204,0.52317804,0.537895,0.52875686,0.5012519,0.47224987,0.46204627,0.47820902,0.5130052,0.54738,0.5640158,0.5543433,0.52636725,0.4995252,0.49046788,0.4994482,0.5130082,0.52003175,0.5168996,0.50621516,0.4905981,0.47823015,0.475076,0.48160616,0.4882137,0.49096796,0.49030665,0.49013984,0.48823512,0.48732522,0.49103865,0.5006421,0.50510615,0.494831,0.46806034,0.4321966,0.3920221,0.35044003,0.31122646,0.2806474,0.2610821,0.24951436,0.24041706,0.23089905,0.22022058,0.20872389,0.19657241,0.18488896,0.17456545,0.1653664,0.15578984,0.14516856,0.13411666,0.123228885,0.111495785,0.09797921,0.08469844,0.07797241,0.085099995,0.1085543,0.14234859,0.17438178,0.19434392,0.19961123,0.19543247,0.18905969,0.18518972,0.1846853,0.1864029,0.18856496,0.18923624,0.18678896,0.18095122,0.17373098,0.16824083,0.16649814,0.16721313,0.16716932,0.1628753,0.15367891,0.1408904,0.12779741,0.11670094,0.10964262,0.10694271,0.10856388,0.112463035,0.11721951,0.121706314,0.12663175,0.13089837,0.13344751,0.13299896,0.1312282,0.12901342,0.12671475,0.12311261,0.11834823,0.11276742,0.10663756,0.09980779,0.09267098,0.08651773,0.08282075,0.08339169,0.088856064,0.09817197,0.10745686,0.11373497,0.1158269,0.11564242,0.114192255,0.11293299,0.11289415,0.1161572,0.12231473,0.12945192,0.1348065,0.13763975,0.1379592,0.13603002,0.13173656,0.1257373,0.11939565,0.114189394,0.11048752,0.10711367,0.102044575,0.0941874,0.08461697,0.07621721,0.07195487,0.07319209,0.07905984,0.08669733,0.092778705,0.095174246,0.094219595,0.091676116,0.088966936,0.08604484,0.08232925,0.07790332,0.073683314,0.0706008,0.06898915,0.06891093,0.07051795,0.07478934,0.08309949,0.09678316,0.115271665,0.13623528,0.15589094,0.17115434,0.17976694,0.18181159,0.17887825,0.1742989,0.16975085,0.165675,0.16113003,0.1569214,0.15432058,0.15412886,0.15497299,0.1540082,0.14887659,0.1391871,0.12888023,0.123740576,0.128389,0.14022185,0.15206265,0.15602,0.15077107,0.13945359,0.1279013,0.119229436,0.114189535,0.1105532,0.10698492,0.10502265,0.108629346,0.119546436,0.13408948,0.14557181,0.14893778,0.14348347,0.13220023,0.12067881,0.114976875,0.11832336,0.12789978,0.13739748,0.14155056,0.14032765,0.13632381,0.13202415,0.12751952,0.12210616,0.11555167,0.10880184,0.10338826,0.100442715,0.10025999,0.10212207,0.10460827,0.10594582,0.10476655,0.1007699,0.09438226,0.08588431,0.07531649,0.06407324,0.05597995,0.055192288,0.062372644,0.07293656,0.08059609,0.082000166,0.078509994,0.0733161,0.068482034,0.06443869,0.06114444,0.058657736,0.056605812,0.054407462,0.05162083,0.0480579,0.043251377,0.03683668,0.029394755,0.022549378,0.017825266,0.015563879,0.015048459,0.015348147,0.015930573,0.016633755,0.017450454,0.01836866,0.019370524,0.020442402,0.021611921,0.022922406,0.024401551,0.026014159,0.027693728,0.029368976,0.031671133,0.03898348,0.06177808,0.11492262,0.20322461,0.3105195,0.3986627,0.4343697,0.40938005,0.34797814,0.28271458,0.23613565,0.21105598,0.20084238,0.1973561,0.19612063,0.19536088,0.19459252,0.19425382,0.19463126,0.19655168,0.19992582,0.20483969,0.21023203,0.21542948,0.21896839,0.21985514,0.2166393,0.20940797,0.19968797,0.19104235,0.18637164,0.18678172,0.19081335,0.1965468,0.2027074,0.20943318,0.21718638,0.22609329,0.23547284,0.24424386,0.25172034,0.25752458,0.26162925,0.2634637,0.26267543,0.2592938,0.2543132,0.24916787,0.24499582,0.24246432,0.24113207,0.24014914,0.23817073,0.2346521,0.2298457,0.22495215,0.22121106,0.21920794,0.21862595,0.21835887,0.21730204,0.21474636,0.2108034,0.20609944,0.2011497,0.19575475,0.18900096,0.18103606,0.17404832,0.17156939,0.17404266,0.17660892,0.17120193,0.15415892,0.13064268,0.11181671,0.106132485,0.11356136,0.12852281,0.14566185,0.16361038,0.18137024,0.19697572,0.20726775,0.21164055,0.21136159,0.20829515,0.20237315,0.19198857,0.17516835,0.15193756,0.12523364,0.10075306,0.08416868,0.07922437,0.08593955,0.1015445,0.121213436,0.14038369,0.15608616,0.16790098,0.17690717,0.18430966,0.19028945,0.19352527,0.19095565,0.178652,0.15458219,0.12203336,0.09045246,0.0717611,0.0738057,0.09573865,0.12833565,0.1598315,0.18204348,0.19345498,0.19694853,0.19644259,0.19486362,0.19422024,0.19591351,0.20137374,0.21440311,0.24193823,0.28961456,0.35202813,0.41240513,0.45401156,0.4771676,0.4965477,0.5263769,0.5645514,0.59688354,0.6067417,0.5869804,0.54379606,0.49888036,0.4776421,0.49349594,0.5364199,0.5814162,0.60400635,0.59372073,0.557503,0.51727384,0.49805832,0.5124828,0.55164933,0.5922795,0.6114792,0.59742236,0.5511122,0.48492193,0.41724887,0.36442852,0.33263007,0.31769705,0.31144273,0.30772147,0.30423686,0.3010297,0.298767,0.29786313,0.29777345,0.29772016,0.29688516,0.29551575,0.29428482,0.2938508,0.29366747,0.29318634,0.2934347,0.29796124,0.3092291,0.32472232,0.33617064,0.33553138,0.32145247,0.30038178,0.28126726,0.2689474,0.26319608,0.2604976,0.2578107,0.25231627,0.24314635,0.23065542,0.21770822,0.20663892,0.19893539,0.1941089,0.1914829,0.18973465,0.18705986,0.1817397,0.17653227,0.18101184,0.21044767,0.27192736,0.3554597,0.43235755,0.47750863,0.48495397,0.47174498,0.4578936,0.45245624,0.45102176,0.44731167,0.4392519,0.43011084,0.42265162,0.41817525,0.4151537,0.41280842,0.41147777,0.4132123,0.4185783,0.42579016,0.43141332,0.43393254,0.4342228,0.43453002,0.43451986,0.43105254,0.4195899,0.39892522,0.3726127,0.34674725,0.32533026,0.30796698,0.29271185,0.278767,0.26813474,0.26253068,0.26240972,0.26502332,0.2665359,0.2627852,0.25374892,0.24300319,0.23679473,0.23719649,0.2419907,0.24414821,0.23818277,0.2212233,0.19801097,0.17817624,0.17323355,0.186682,0.21184337,0.23476756,0.2438323,0.23572284,0.21645468,0.19755428,0.18893741,0.19365917,0.20664,0.22006942,0.22888593,0.23295224,0.23436618,0.23479454,0.23452908,0.23383184,0.23328346,0.23355363,0.2341534,0.23502427,0.2385721,0.25057712,0.27483127,0.30809808,0.3395147,0.35931778,0.36519864,0.36311257,0.3596742,0.35823834,0.35802284,0.3579119,0.3570242,0.35547975,0.3529278,0.35065007,0.3519094,0.36375746,0.3910782,0.43253097,0.47684422,0.51267034,0.536525,0.5566346,0.5822076,0.61491203,0.6456551,0.6613477,0.6511855,0.6134631,0.55759066,0.50193155,0.4635122,0.44940364,0.45474294,0.46989298,0.48693132,0.5024155,0.51508206,0.52498955,0.5323417,0.53845376,0.54435873,0.5513459,0.56000966,0.57117575,0.5850127,0.601035,0.617173,0.63003355,0.6347498,0.626266,0.59997445,0.55491453,0.49502894,0.4308125,0.3742846,0.33427778,0.31136426,0.30066434,0.29558846,0.292002,0.28696123,0.27760032,0.26033744,0.23480564,0.20658301,0.18722004,0.18624605,0.20418318,0.23013853,0.24967903,0.2531183,0.24213473,0.22901215,0.23098697,0.25867787,0.3074107,0.3596966,0.39880666,0.41978356,0.42790473,0.4290663,0.4258132,0.41987538,0.417027,0.42484272,0.44981742,0.4891874,0.53125215,0.5586589,0.5657535,0.5592802,0.5515457,0.5421285,0.52568394,0.5024814,0.48584688,0.48561826,0.49763522,0.5041796,0.4888543,0.44585443,0.38298538,0.31514347,0.25954643,0.23088986,0.24341027,0.30255705,0.39793682,0.4965444,0.5636143,0.58316267,0.57072043,0.5539129,0.5523955,0.5652408,0.5784039,0.5777115,0.5607569,0.5390542,0.5279756,0.53484994,0.55603933,0.5835783,0.61051613,0.6291333,0.6313958,0.6155575,0.59111357,0.5741963,0.57396966,0.5885379,0.6079539,0.6249862,0.6366579,0.64409363,0.648611,0.6518751,0.6550972,0.65900177,0.6630431,0.665544,0.6646495,0.6600601,0.65427804,0.6509561,0.6507719,0.64770573,0.629976,0.58677274,0.51659465,0.4314698,0.35131797,0.29253185,0.2590763,0.24425566,0.23961057,0.24110824,0.24830925,0.25934002,0.2693495,0.27227607,0.26473185,0.24930517,0.23443805,0.23096548,0.24351488,0.26750967,0.29102504,0.30452526,0.30520663,0.29767758,0.28815964,0.28151882,0.27901724,0.28005305,0.28227285,0.2825888,0.27735206,0.2653581,0.2500415,0.23904191,0.23899662,0.25079536,0.26806048,0.2818685,0.28556553,0.2798597,0.27101278,0.26830176,0.27691314,0.2966393,0.32004812,0.33677235,0.33715448,0.32057592,0.29877564,0.28975043,0.3039105,0.33395836,0.3630784,0.37821814,0.379769,0.37441874,0.36764288,0.35994664,0.35012874,0.33831286,0.32512575,0.31065717,0.29352573,0.27634633,0.2710345,0.29631123,0.36261436,0.45694152,0.5487621,0.61074334,0.6371061,0.63756037,0.6254337,0.608401,0.59035474,0.5710555,0.5489846,0.5269219,0.5132758,0.51666975,0.536146,0.5631394,0.5842859,0.58945376,0.5739793,0.5466509,0.52362305,0.52003604,0.5361361,0.562055,0.5822721,0.5869181,0.5724161,0.5485985,0.5306428,0.53145933,0.548536,0.57022357,0.5827162,0.57889134,0.5573354,0.52471465,0.49435964,0.48006248,0.48707,0.50937027,0.5348788,0.55033165,0.5463695,0.5226233,0.4912801,0.46988872,0.47002944,0.48987284,0.51836777,0.5403042,0.5444933,0.529192,0.5071915,0.49607584,0.50576466,0.53103644,0.559576,0.5798443,0.58515745,0.57433456,0.55541635,0.541392,0.54016805,0.54520184,0.54439455,0.530546,0.50817764,0.48452452,0.46817768,0.46271348,0.4685295,0.47737038,0.48412946,0.48902178,0.49872532,0.51216775,0.52234936,0.52131456,0.5086112,0.48822406,0.4671968,0.453112,0.45042098,0.456671,0.46618903,0.4771144,0.49005532,0.5019336,0.50607675,0.5013764,0.49423525,0.49140704,0.49339712,0.4984896,0.5057021,0.51306397,0.51560086,0.51222783,0.50793713,0.50929,0.51557165,0.5235565,0.5306387,0.5352526,0.5287314,0.5009744,0.4490188,0.38350305,0.3203492,0.2713124,0.2393437,0.22124572,0.21187569,0.20685887,0.20361517,0.20105912,0.19891743,0.19732796,0.19646174,0.19640402,0.1968398,0.19730158,0.19741581,0.1971804,0.19684722,0.19674164,0.1971715,0.198323,0.20002516,0.20163171,0.20230462,0.20167369,0.19999206,0.19779623,0.1954398,0.19315869,0.19139351,0.19054551,0.19063292,0.19097526,0.19088255,0.19005853,0.18886204,0.18774271,0.18700378,0.18666798,0.18674098,0.18723248,0.18825422,0.18992221,0.1924567,0.19587047,0.19990516,0.20376234,0.20650001,0.20679028,0.20298244,0.19277559,0.17470205,0.14929473,0.1200672,0.09158314,0.067840174,0.05090716,0.041687056,0.039776407,0.043237865,0.0481399,0.050373778,0.048582915,0.046525266,0.05141057,0.06809849,0.09378629,0.117880404,0.12964924,0.12568273,0.112836175,0.10209759,0.10124471,0.10970828,0.12051627,0.12538679,0.119728714,0.10432119,0.08397759,0.06578899,0.056400176,0.05954809,0.0729362,0.08919727,0.09912363,0.09736338,0.08421743,0.06552652,0.048992302,0.041566517,0.04586004,0.059642028,0.07678111,0.09161077,0.10150269,0.10736849,0.11106035,0.11336901,0.113771625,0.11162751,0.107676536,0.10363846,0.1010076,0.0994234,0.09734965,0.09341673,0.087658994,0.08098487,0.07444479,0.06857261,0.063380934,0.05856286,0.054146457,0.05064073,0.048606664,0.04795508,0.048294257,0.04948346,0.051995084,0.056363866,0.063066185,0.071831614,0.08122456,0.08837376,0.09089916,0.088684,0.084002376,0.07905471,0.0742768,0.068863936,0.06246732,0.05568832,0.049400683,0.044225737,0.04056782,0.03837146,0.03681202,0.034575976,0.031233968,0.028187992,0.028363228,0.034055118,0.044829708,0.05672429,0.06487209,0.06699159,0.06595761,0.06686285,0.073056616,0.08260279,0.09120918,0.095224045,0.09461236,0.09113806,0.087256305,0.08455357,0.08389988,0.08512344,0.08741816,0.0895442,0.09010199,0.087741666,0.08238185,0.076129146,0.07258303,0.07397517,0.07920092,0.084846675,0.087976106,0.0878183,0.0849891,0.080457695,0.075015016,0.06935143,0.06369846,0.0578085,0.051303204,0.04413602,0.03652853,0.028849894,0.021539787,0.015150171,0.010085017,0.0064419857,0.0040062806,0.0024639694,0.0015258067,0.0009641568,0.0006148187,0.00037807095,0.00021315519,0.00010536935,4.460337E-05,1.6220194E-05,5.8289356E-06,3.078386E-06,2.6655596E-06]