[0.002669456,0.0069809873,0.018908774,0.03824539,0.061291713,0.08145399,0.0956957,0.1054356,0.11436453,0.12231652,0.12957305,0.14213437,0.17200047,0.22278528,0.2806674,0.3200995,0.32631865,0.30510673,0.27691737,0.25741005,0.25097072,0.25285113,0.25736448,0.2607552,0.2615994,0.26084626,0.2604933,0.26275918,0.26797232,0.27527693,0.28322843,0.290936,0.29703078,0.29848132,0.2914057,0.27400485,0.24954383,0.22468539,0.20565444,0.19445616,0.18953963,0.18775403,0.1860786,0.18218093,0.17520668,0.16752966,0.16349792,0.1666428,0.17698048,0.19387007,0.21964216,0.25673816,0.29994285,0.3330342,0.3401307,0.31944397,0.28608814,0.25898123,0.24868123,0.25545835,0.2767241,0.306756,0.335996,0.34867883,0.33656,0.3035541,0.2674453,0.24401592,0.24088514,0.25404274,0.2747824,0.2925559,0.29918692,0.2909411,0.27094814,0.24713002,0.2280625,0.21823905,0.21703233,0.2202698,0.22327298,0.22298075,0.2188661,0.21267527,0.20725626,0.20472425,0.20554201,0.21029983,0.22215264,0.24642928,0.28262702,0.32052553,0.3425628,0.33985463,0.3171792,0.2907584,0.2721388,0.26411858,0.26138303,0.25908187,0.25521684,0.25090936,0.24840482,0.24992223,0.25728783,0.2711779,0.29076505,0.31296387,0.33270824,0.3429003,0.33721018,0.31319863,0.27687153,0.23963521,0.21243723,0.19774102,0.19106913,0.18660049,0.18331206,0.18334346,0.18777937,0.19388963,0.19860141,0.2010529,0.20381887,0.20960873,0.22197561,0.24455936,0.27951607,0.32049885,0.35420159,0.36877313,0.36735818,0.3625774,0.36419877,0.36595225,0.3564423,0.3312859,0.29957715,0.2733468,0.2606367,0.26436874,0.2850469,0.31638598,0.34489837,0.35489509,0.34396783,0.3227749,0.3070965,0.3015139,0.3024105,0.30612198,0.31454206,0.32788515,0.3387923,0.339015,0.3290265,0.31759676,0.31114066,0.3069601,0.3004198,0.29179943,0.28616753,0.2849543,0.28534758,0.28622282,0.2926065,0.3082163,0.327652,0.33651137,0.32627526,0.30124328,0.27591658,0.2606075,0.25635418,0.25767317,0.25928378,0.25925282,0.25753853,0.25548407,0.25404266,0.25396466,0.25496033,0.25757352,0.26338616,0.27449337,0.28877723,0.29966152,0.29826415,0.28221253,0.2566209,0.23192324,0.2148159,0.20659743,0.20401525,0.2040367,0.20457178,0.20444107,0.2025063,0.19883591,0.19460928,0.19162641,0.19163,0.1980778,0.21691303,0.25137976,0.29469034,0.32904485,0.33800408,0.31987646,0.28892708,0.26323357,0.25319552,0.2606956,0.28393188,0.31741536,0.35011265,0.36625347,0.35665223,0.3252788,0.28788614,0.25981912,0.24780709,0.2503112,0.26161313,0.27527666,0.28372654,0.28120473,0.2669454,0.24646825,0.2276622,0.21546197,0.2101072,0.20893998,0.20937,0.2099276,0.21142042,0.2173179,0.23413885,0.26406512,0.30018076,0.3257889,0.32969317,0.31565905,0.2999983,0.29468834,0.2987167,0.3052362,0.31241727,0.32342783,0.33806846,0.34960303,0.35406363,0.35497972,0.35913864,0.3658063,0.3673022,0.3596442,0.34789464,0.34106907,0.34073973,0.34221748,0.34197882,0.34279773,0.34673464,0.3501744,0.34760824,0.34279278,0.34572986,0.36131966,0.37930277,0.38453516,0.37169063,0.34891868,0.32846606,0.3166037,0.3161422,0.32860258,0.35167876,0.37529516,0.38550237,0.37872946,0.36268294,0.35012403,0.34433648,0.3430868,0.34502375,0.35363963,0.36862063,0.3815657,0.38281682,0.3726547,0.36051902,0.35448137,0.3533208,0.35273507,0.35396412,0.36159143,0.37506187,0.38414422,0.3811504,0.36745274,0.35289752,0.34282756,0.33728218,0.3362815,0.34416237,0.36327568,0.38684472,0.40388575,0.40848994,0.40422317,0.3961579,0.38538614,0.37050664,0.3539336,0.34178838,0.3384745,0.34334898,0.35347652,0.36820003,0.386585,0.4036187,0.40912104,0.39782676,0.37424254,0.35073134,0.33594906,0.32977986,0.32651958,0.3212727,0.3149008,0.31082448,0.31295112,0.32030335,0.32982662,0.33719733,0.3421042,0.3458228,0.35059533,0.35413313,0.35101017,0.3342158,0.3027645,0.26351106,0.22914086,0.20986938,0.20819384,0.21892017,0.23352575,0.24456775,0.24729858,0.2410018,0.22912657,0.21901704,0.2170264,0.2256881,0.24327338,0.26919994,0.3036964,0.34263372,0.3736893,0.38279334,0.3678417,0.34056842,0.318296,0.3090829,0.3106438,0.31489417,0.3163798,0.31384668,0.30984497,0.30752385,0.30828002,0.31004563,0.30927166,0.30433503,0.2980332,0.29444006,0.29321218,0.28741327,0.26936716,0.2387956,0.20358674,0.17264111,0.1496342,0.13510197,0.13214806,0.14491199,0.1727768,0.20575874,0.2332989,0.25119343,0.26559472,0.28320944,0.30720744,0.3350952,0.36444494,0.3915619,0.41171536,0.41843736,0.41053352,0.39307293,0.3755859,0.36379775,0.35784283,0.35376838,0.34822503,0.34057477,0.33228412,0.32514215,0.3189064,0.31151533,0.30108646,0.28916582,0.2808459,0.281451,0.29093385,0.3032072,0.30967054,0.30677736,0.296627,0.2842312,0.27176103,0.25943625,0.24802347,0.23978741,0.23544264,0.23173833,0.22523336,0.21735416,0.21536313,0.22536848,0.24683936,0.27396727,0.30266294,0.33127093,0.3564388,0.370649,0.37032685,0.36264575,0.35994115,0.36641905,0.37166372,0.36339188,0.3395741,0.3116031,0.29149708,0.2838603,0.285141,0.29020596,0.29583058,0.30111876,0.30603948,0.31082562,0.31433085,0.31323016,0.30447677,0.29073998,0.28386775,0.29483983,0.32283497,0.34980145,0.35839978,0.34570852,0.32659748,0.31547078,0.31516933,0.31786072,0.31682885,0.3124731,0.30997145,0.31449577,0.32864073,0.35123387,0.37519762,0.38898456,0.3833845,0.36032137,0.3318787,0.31143042,0.30368444,0.30508262,0.30986938,0.31541368,0.32201925,0.33008376,0.33881262,0.34642068,0.3517137,0.35429442,0.35484955,0.3538232,0.3509554,0.34390163,0.33002195,0.30820885,0.28191105,0.25728533,0.24033184,0.23281156,0.23239912,0.2342339,0.23423235,0.23074794,0.22502254,0.21916433,0.21430779,0.2096656,0.20434554,0.20058979,0.20525087,0.22794275,0.27038434,0.32218635,0.36158267,0.37482294,0.3628783,0.34192136,0.32516503,0.31738594,0.31425843,0.31076798,0.3035785,0.29243037,0.27912208,0.26730934,0.25976816,0.2576381,0.2600926,0.266921,0.27786338,0.2895892,0.29376948,0.28000307,0.24507196,0.19661479,0.15059148,0.12121325,0.11488708,0.12954976,0.1580665,0.19232051,0.22464044,0.2491314,0.26277947,0.26663128,0.26512918,0.26400352,0.2690437,0.2864658,0.31839696,0.35875168,0.3916738,0.40365565,0.39305487,0.3713276,0.35127893,0.3381524,0.3292809,0.31910408,0.3042949,0.28602323,0.27155152,0.2708743,0.28980505,0.3212335,0.34817922,0.35454693,0.34093025,0.32103086,0.30992088,0.30841902,0.30805275,0.30152217,0.29120165,0.28430536,0.2864519,0.2989503,0.32143274,0.3499254,0.3766627,0.39082316,0.38955322,0.38080165,0.3768667,0.3809431,0.3835491,0.37479004,0.35351565,0.32931045,0.3120024,0.3082094,0.32051662,0.3475171,0.38068387,0.40610364,0.41465154,0.4113032,0.4086916,0.41287315,0.41409588,0.4000876,0.3696387,0.33658358,0.315147,0.31090942,0.31956366,0.33489203,0.34991845,0.35943735,0.3607906,0.35874677,0.36114395,0.37132993,0.3833425,0.38689932,0.37826133,0.36114535,0.34315452,0.32773292,0.31604806,0.30748954,0.30110618,0.29452002,0.28735045,0.2845031,0.29472956,0.32111982,0.3551335,0.37883803,0.38003445,0.36005846,0.33257678,0.31003204,0.29667374,0.28932098,0.28392696,0.2798302,0.27839383,0.28071865,0.28532004,0.2897974,0.29245624,0.29374138,0.29530933,0.29935262,0.30623987,0.31328914,0.3131865,0.29873726,0.26640394,0.22056979,0.17067622,0.12939607,0.108186185,0.11317571,0.14108442,0.17948467,0.21453087,0.23811595,0.25121164,0.25863847,0.2655834,0.27606842,0.29474235,0.32227126,0.35154083,0.36823007,0.36331192,0.34100518,0.3163701,0.3014632,0.297763,0.29871836,0.29790005,0.2940208,0.2899866,0.2902545,0.29642892,0.3066924,0.31660187,0.32335865,0.32715666,0.33048496,0.33414736,0.33489895,0.3267655,0.30638102,0.27674767,0.24515639,0.21811391,0.19814628,0.18690132,0.18577771,0.1957525,0.21211338,0.22822501,0.23829822,0.243544,0.24728239,0.2530053,0.26186654,0.2767446,0.30056575,0.33124712,0.35884783,0.37096903,0.36420152,0.34571275,0.32776877,0.3170408,0.31415233,0.31604192,0.3205031,0.32605442,0.33162117,0.33630824,0.33953926,0.34131464,0.34191802,0.34213412,0.34275723,0.34368178,0.3423655,0.33461913,0.31753546,0.2933562,0.26860476,0.2500358,0.23973215,0.2349655,0.2305671,0.22171573,0.20603164,0.18519579,0.1664626,0.15897925,0.16771005,0.1883031,0.21203655,0.23445077,0.26041147,0.29449138,0.33255374,0.35948905,0.3654174,0.35203385,0.33297563,0.31773618,0.3085482,0.30052236,0.29161537,0.2833731,0.28178194,0.29204464,0.31735995,0.3527211,0.38555157,0.3995429,0.388666,0.36242056,0.3384837,0.32713675,0.32617465,0.33117703,0.34369496,0.36631703,0.39221838,0.40562356,0.3971094,0.37130252,0.34309542,0.32278368,0.31222066,0.30744568,0.30524266,0.30365264,0.30260715,0.30459532,0.31640062,0.34179857,0.37487504,0.3970314,0.3920242,0.3584163,0.31315583,0.27631673,0.25849572,0.25741765,0.2659075,0.27822492,0.29184246,0.30482316,0.31517276,0.32110116,0.3224593,0.32058385,0.31812242,0.3187162,0.3242524,0.33256146,0.33672634,0.3312519,0.31641528,0.29819062,0.28175208,0.2680307,0.25538072,0.24338885,0.23348202,0.22653867,0.22156036,0.21733014,0.21416037,0.21384828,0.2180633,0.22918363,0.25103864,0.28573433,0.32570052,0.3522885,0.34553108,0.30102533,0.2327584,0.16406135,0.11107481,0.08011144,0.06923649,0.07419091,0.08835962,0.10614997,0.12465397,0.14394023,0.16271742,0.17773223,0.18749298,0.19677311,0.21268885,0.23560227,0.25476173,0.2563915,0.23721059,0.20936818,0.1907481,0.19138855,0.20698719,0.22619742,0.2381113,0.23877229,0.22891422,0.21415973,0.2011686,0.19498213,0.19566585,0.20163314,0.21564366,0.24579608,0.2936264,0.34567523,0.37647867,0.37258363,0.341911,0.3084285,0.28891256,0.28809598,0.30413213,0.3352848,0.372216,0.39425004,0.37968874,0.32739842,0.25861058,0.202507,0.17395727,0.17298205,0.19220378,0.22337727,0.255874,0.27860343,0.2906369,0.30432674,0.33189365,0.3679842,0.38802445,0.37339935,0.3273871,0.27436924,0.23606718,0.22300404,0.23611212,0.27308902,0.32283977,0.3648673,0.38111326,0.37496445,0.36632183,0.37039343,0.37769964,0.36807832,0.33427036,0.2929691,0.26836362,0.2734528,0.30514002,0.35146356,0.3952571,0.41826692,0.4084181,0.37494573,0.3434753,0.33602783,0.34832957,0.35778567,0.34947678,0.33028588,0.3172759,0.31787708,0.32942548,0.35039735,0.38223743,0.4198856,0.44530693,0.44298455,0.4139843,0.3755341,0.34219456,0.3153073,0.29022554,0.2684893,0.2595893,0.27136636,0.30288312,0.3473405,0.39535856,0.4372584,0.46116707,0.4598876,0.43629205,0.40350792,0.37512383,0.35687062,0.34750962,0.34333515,0.34245828,0.3426979,0.3424693,0.34010372,0.33700335,0.3347939,0.3360703,0.34104225,0.34975716,0.3588791,0.3626893,0.35338852,0.32818988,0.29371926,0.26319247,0.24720903,0.24579032,0.25226173,0.26037383,0.26980302,0.28206798,0.298699,0.3206984,0.3512212,0.38838157,0.42238808,0.43780732,0.4312141,0.41521165,0.4082822,0.41422427,0.42003813,0.41208497,0.39021266,0.36691916,0.35392448,0.35626423,0.37372065,0.40205184,0.43199363,0.44907185,0.4442807,0.42030823,0.39049408,0.36674082,0.35345802,0.34894308,0.34999546,0.35267404,0.3518447,0.34362566,0.328944,0.31265,0.29924932,0.28970972,0.28325358,0.27941716,0.2775531,0.27424076,0.2651304,0.25000477,0.23614742,0.23310588,0.2444566,0.26628396,0.29348907,0.32710648,0.36718497,0.40657178,0.42783824,0.42121866,0.3914535,0.3580166,0.33668134,0.3328255,0.34082046,0.35212037,0.35961953,0.35917822,0.35074413,0.3372824,0.32412934,0.31569278,0.31488073,0.32222703,0.33662736,0.35264507,0.36042562,0.34887037,0.31501305,0.2678042,0.22316533,0.19253244,0.1772836,0.17221232,0.17184053,0.17303336,0.17552114,0.18315776,0.20595403,0.25136766,0.31365535,0.36870396,0.39178076,0.37683177,0.3418491,0.31114236,0.29891428,0.3069969,0.3332723,0.3713534,0.40899542,0.4296886,0.42980742,0.42112544,0.4202336,0.4279537,0.4295025,0.41252682,0.3798963,0.34696874,0.32501552,0.31683716,0.31901368,0.32761368,0.33795747,0.34586915,0.35246122,0.36637127,0.39454317,0.43173102,0.4575595,0.45471,0.42145517,0.3744804,0.33111072,0.30033317,0.28199795,0.2756438,0.28186676,0.30035686,0.32803106,0.3618395,0.39873436,0.43302178,0.45457208,0.45468405,0.43246853,0.39525163,0.35264254,0.31279388,0.2826347,0.2672938,0.2670963,0.2760721,0.28645948,0.29352656,0.29701814,0.29784775,0.29692814,0.29653057,0.30106676,0.31359887,0.33078828,0.34408334,0.34601402,0.3370298,0.32341358,0.31170666,0.30353153,0.29752228,0.2924569,0.2889559,0.28827396,0.29072478,0.29681006,0.30716038,0.32233122,0.33966935,0.35602522,0.37046134,0.3871522,0.4067668,0.42258155,0.42129365,0.39837655,0.36143938,0.32673633,0.3050171,0.3003732,0.31199756,0.33652794,0.36378205,0.3778204,0.36678204,0.33321393,0.2922132,0.2599799,0.24435614,0.24588001,0.26171347,0.28595364,0.309217,0.32092687,0.31729662,0.30190167,0.28366268,0.26864633,0.26023573,0.25851676,0.2639227,0.2749356,0.28914142,0.30259705,0.31317148,0.3202733,0.32491174,0.3290349,0.33673298,0.35366288,0.38004997,0.4067792,0.41751742,0.40410566,0.3725915,0.34018764,0.3196014,0.31355488,0.3164647,0.32251614,0.32865107,0.3359768,0.34895906,0.37369278,0.41058013,0.44881642,0.4696779,0.46081516,0.42784262,0.38789687,0.35519502,0.3302829,0.30851755,0.2875181,0.27066672,0.26088992,0.25925884,0.2657751,0.27901936,0.29408827,0.30385745,0.30662858,0.3113514,0.3299761,0.3632337,0.3958478,0.41126928,0.41016388,0.40691403,0.41211972,0.41748014,0.4100721,0.38711223,0.3608594,0.343056,0.33762935,0.34390703,0.36244202,0.39042452,0.4171275,0.4288765,0.4243712,0.4152936,0.41451597,0.4195484,0.41771698,0.40153646,0.37732634,0.3577914,0.34981358,0.35491785,0.37346342,0.4038818,0.43587622,0.45123264,0.43898335,0.40569928,0.3703684,0.3467476,0.33483127,0.32897094,0.32594392,0.32713833,0.33183745,0.33987245,0.35407794,0.37912846,0.41118357,0.4355166,0.43622637,0.41126958,0.37292448,0.33698878,0.31045416,0.2927023,0.28191853,0.2792156,0.28606197,0.3007053,0.31864682,0.33505931,0.3471078,0.3543148,0.35824132,0.36184084,0.3667918,0.37097362,0.3684126,0.35376716,0.32699406,0.29305932,0.25860557,0.22925079,0.21081221,0.20822541,0.22219539,0.2461518,0.27180707,0.2965717,0.32690296,0.3663205,0.40665975,0.4272944,0.41518906,0.37540257,0.32962298,0.29724967,0.28732815,0.30014953,0.33311248,0.37761143,0.41809252,0.43905118,0.43975163,0.4325329,0.42982566,0.42879722,0.41788337,0.39124897,0.35653234,0.32714713,0.3112646,0.30934915,0.31704473,0.32788792,0.33504832,0.33499002,0.33258414,0.33857894,0.35830143,0.38281134,0.3934144,0.38059887,0.35325685,0.3321682,0.33054054,0.34595302,0.36514962,0.37553346,0.37195918,0.35857007,0.34705225,0.35129133,0.37643862,0.41274798,0.43883145,0.4391327,0.41462955,0.38137773,0.35433352,0.33833227,0.3285801,0.32000372,0.31067792,0.3020843,0.2950654,0.29041564,0.28793564,0.28833815,0.29170343,0.29867545,0.30900267,0.3204122,0.32680556,0.32010388,0.29773077,0.2674973,0.24595766,0.24536139,0.26392427,0.28638443,0.2979776,0.29595402,0.2908025,0.29630038,0.32069862,0.36157465,0.4049813,0.43204084,0.43019533,0.40789986,0.38513708,0.37580344,0.3710465,0.35629436,0.33328518,0.32151923,0.3337895,0.35788718,0.37234163,0.3723102,0.3716903,0.38079628,0.38777494,0.3741875,0.33551165,0.28847978,0.2528579,0.23809765,0.24327648,0.26359048,0.29227152,0.31960323,0.3388089,0.3531277,0.37300685,0.4021548,0.42899075,0.4346576,0.41175708,0.3704158,0.32941642,0.3017569,0.29210612,0.3024395,0.3305589,0.36626855,0.39038026,0.39316157,0.38478732,0.38659072,0.40641317,0.4277059,0.42958343,0.40625522,0.3728721,0.34553084,0.33092806,0.3248719,0.3220674,0.3201866,0.31978202,0.32185,0.3257394,0.32950985,0.33072665,0.32905293,0.32649383,0.32740545,0.3337641,0.34351322,0.3495563,0.3471668,0.3366386,0.324374,0.3157535,0.3130807,0.3149304,0.31967357,0.32586005,0.3323622,0.33787397,0.34172437,0.34455028,0.34818062,0.35521507,0.3683475,0.3890859,0.41494724,0.43654093,0.44158897,0.4227849,0.38702878,0.35054478,0.32941934,0.32910857,0.34676516,0.37657547,0.4107969,0.43822598,0.44459376,0.42497587,0.38870955,0.35603544,0.34103164,0.3453705,0.36048472,0.37769815,0.39021468,0.39463738,0.39136648,0.38800478,0.3941207,0.41208318,0.43233827,0.4415947,0.43703175,0.42652464,0.41852888,0.41139603,0.4009726,0.3910434,0.3914689,0.40452313,0.41753992,0.4168642,0.40201858,0.38584673,0.3776165,0.37424603,0.36665547,0.35228053,0.33700302,0.32851347,0.32949126,0.3386991,0.35235476,0.36535963,0.37016502,0.36136606,0.33987096,0.31482178,0.29697812,0.2917494,0.2952378,0.2976704,0.28984496,0.26872495,0.23912169,0.20992865,0.18949866,0.1818142,0.18680526,0.2011358,0.21996589,0.23786901,0.25060713,0.25536427,0.25112787,0.23807798,0.21855444,0.19651656,0.17639214,0.16088474,0.15048124,0.1450495,0.14422254,0.14707428,0.15014021,0.14956935,0.14363255,0.13490143,0.1279668,0.12599196,0.12904458,0.1345944,0.14005347,0.14381234,0.14609344,0.14772145,0.1492484,0.14956021,0.14704408,0.14176399,0.13818944,0.1425559,0.15819152,0.18079394,0.20229691,0.21629502,0.22293259,0.22564769,0.22751234,0.22783756,0.22338636,0.2102874,0.18729539,0.15730982,0.12703417,0.10350055,0.090990804,0.09139207,0.10747996,0.14547025,0.20830415,0.28762892,0.360656,0.40462628,0.41206053,0.39559925,0.37469032,0.3613576,0.3560926,0.35435918,0.3529971,0.35233244,0.3535234,0.35738328,0.36384568,0.37376225,0.3888334,0.40942073,0.4316536,0.4457853,0.44054475,0.4094284,0.35771883,0.30086693,0.25675255,0.23472603,0.23228021,0.24055617,0.2535164,0.2722418,0.300838,0.34106195,0.38946748,0.4401313,0.48381543,0.5091843,0.50639004,0.4785819,0.4446995,0.4263955,0.42976844,0.4394047,0.4374789,0.41920337,0.39695075,0.38346443,0.38462114,0.39859083,0.42313778,0.45207742,0.47479415,0.4789066,0.46388045,0.44256786,0.43364897,0.44496492,0.46926427,0.48979124,0.49151123,0.46774638,0.42146277,0.36404845,0.31148434,0.27858332,0.27222252,0.2881063,0.31377637,0.33644465,0.34992948,0.35634646,0.36293602,0.37733793,0.40432832,0.43962082,0.47038636,0.48044518,0.46758783,0.44544935,0.43185034,0.42843166,0.42019263,0.3942256,0.353721,0.3159882,0.29584205,0.2994194,0.32523707,0.36769235,0.4149971,0.45041108,0.46099982,0.44765854,0.42391443,0.4056592,0.40013918,0.4053686,0.4141195,0.41830692,0.4113541,0.39106515,0.36306095,0.33837962,0.32704866,0.33112952,0.34689415,0.3706051,0.4023974,0.43835577,0.46741226,0.475769,0.46471158,0.4507625,0.45097682,0.46325517,0.47029054,0.46068248,0.4391427,0.41793028,0.40115976,0.38676143,0.37776732,0.3817936,0.40025488,0.41958097,0.42611757,0.4205784,0.41616404,0.41999865,0.42372036,0.41875374,0.41042194,0.4127066,0.42749596,0.43857703,0.43142882,0.4098145,0.39157903,0.3871716,0.3924335,0.40028635,0.4116726,0.43013692,0.45037475,0.45867482,0.4486991,0.42687154,0.40644825,0.39238644,0.38295308,0.37613884,0.3744032,0.37850866,0.38424826,0.38788202,0.3930765,0.40669128,0.4278315,0.4429541,0.43819675,0.41214347,0.37792787,0.349983,0.3337449,0.3255944,0.32020006,0.31578836,0.3132373,0.31399843,0.3176098,0.32259122,0.32626283,0.32761618,0.32753506,0.32996562,0.33690035,0.34567192,0.34763563,0.33630756,0.31314728,0.28883716,0.2740482,0.2724367,0.2789944,0.28644183,0.29073057,0.29250523,0.2958164,0.30531928,0.3257955,0.35632738,0.3892393,0.41142532,0.4174889,0.41467595,0.4154009,0.42245698,0.42438102,0.4108846,0.38306642,0.35433695,0.33533385,0.33052456,0.33892027,0.35940728,0.3855977,0.40657866,0.4103481,0.39644468,0.37349638,0.35402855,0.3427175,0.3391304,0.3405701,0.34433007,0.34587505,0.3388205,0.32189095,0.29974076,0.280715,0.26804066,0.2600883,0.25422832,0.2520779,0.25747845,0.27177718,0.29112878,0.3092493,0.32143775,0.3269734,0.32845047,0.3310577,0.34124818,0.36349812,0.39463994,0.42311707,0.4352932,0.42730153,0.4069645,0.38754463,0.3763274,0.37300968,0.3733662,0.37430012,0.37475905,0.3745294,0.37415972,0.3740542,0.3744801,0.37486994,0.3755119,0.37740466,0.38158262,0.385734,0.38579568,0.37805656,0.36436832,0.34880206,0.33493063,0.32129407,0.30614904,0.29098585,0.28155234,0.28177735,0.2898645,0.30116066,0.3151126,0.33494535,0.36068746,0.38358322,0.39469945,0.3953308,0.39627346,0.40407205,0.41155615,0.40705517,0.38695455,0.36069664,0.3398422,0.33167174,0.33773673,0.3580372,0.38677713,0.41160658,0.41657725,0.3968215,0.36130193,0.32800925,0.30832568,0.30431557,0.31114247,0.32289395,0.332204,0.33282423,0.32575503,0.32277453,0.3352327,0.3602914,0.37780073,0.37034866,0.33943138,0.30523917,0.28637442,0.28618982,0.29494902,0.30181733,0.30328366,0.30224273,0.30493543,0.31737676,0.343696,0.38013276,0.4142363,0.4289465,0.4176723,0.3888471,0.36077234,0.34532627,0.34250736,0.344466,0.34464547,0.34184906,0.33843422,0.3376663,0.34078145,0.34701815,0.35390487,0.3596846,0.3638041,0.3668399,0.36768255,0.3637731,0.35215262,0.33407924,0.3141437,0.29844987,0.28914532,0.2850168,0.28267953,0.2802606,0.27728534,0.2750405,0.27632752,0.2856206,0.30619326,0.33484483,0.3618228,0.37729645,0.38230598,0.3860729,0.39510465,0.4021721,0.39424685,0.366879,0.33038843,0.30026343,0.28651544,0.29176176,0.31645015,0.35535526,0.39556006,0.41647753,0.40748653,0.37455168,0.33768383,0.31321597,0.30598482,0.3121581,0.3247422,0.33727026,0.34182477,0.3334724,0.31149557,0.2813875,0.2508773,0.22833896,0.21946436,0.22571184,0.24284892,0.26354754,0.28080714,0.29074863,0.29385057,0.2938312,0.29493085,0.2994821,0.3083841,0.32491198,0.35008848,0.37872064,0.3970603,0.39788088,0.388072,0.38269377,0.38724363,0.39215767,0.38858926,0.3793652,0.37609398,0.3825177,0.39270985,0.40165743,0.41151178,0.4249196,0.4347931,0.43102518,0.41368952,0.39556023,0.38908628,0.3940436,0.40312442,0.41325963,0.42733645,0.4446396,0.45502695,0.44912484,0.42736086,0.40008518,0.37570724,0.35762954,0.34857023,0.35424194,0.375471,0.4014914,0.41546324,0.41141593,0.40042207,0.39791194,0.40703472,0.4159886,0.41496864,0.40446624,0.39342847,0.38651335,0.3849841,0.39072362,0.40591702,0.425694,0.4374878,0.43378082,0.4229585,0.4208748,0.43420315,0.4511781,0.45763776,0.44949725,0.43465075,0.41928336,0.40439466,0.3913835,0.3864615,0.39310798,0.40545258,0.41047463,0.40315175,0.38780203,0.37441063,0.36548552,0.36064687,0.35915163,0.36298552,0.36953866,0.3727121,0.36957896,0.36797294,0.378188,0.40110317,0.42190564,0.4252521,0.40823087,0.3836918,0.36550018,0.35872412,0.3585962,0.35851955,0.35505322,0.34906712,0.34390387,0.34265253,0.34681153,0.35470697,0.36442706,0.37332496,0.3808879,0.38449275,0.3817354,0.36877993,0.34628847,0.31703994,0.28488472,0.24964033,0.21082765,0.172253,0.14475602,0.13868017,0.15606129,0.18892694,0.22850855,0.27170813,0.31771877,0.36034024,0.38842943,0.3991411,0.40256593,0.4121351,0.42777053,0.43591776,0.4258263,0.40099373,0.37586126,0.36209607,0.36417136,0.38156083,0.40998152,0.4391742,0.45377,0.44407845,0.4145639,0.38115895,0.35873905,0.3517054,0.35655436,0.36752477,0.37994924,0.38846457,0.3872237,0.37315264,0.3474517,0.31544617,0.28291717,0.25584146,0.23900568,0.23489493,0.2414602,0.2523395,0.26192215,0.26837224,0.2746241,0.28282264,0.29393342,0.30859828,0.33143726,0.3649077,0.40370902,0.431669,0.4352528,0.41356358,0.38058326,0.35101056,0.33136675,0.3188059,0.309595,0.30247262,0.29926,0.3006164,0.3063688,0.31449923,0.32395175,0.33405125,0.3456047,0.35891023,0.37194243,0.3795457,0.37528574,0.35743514,0.3304033,0.30373013,0.28450072,0.2752249,0.27230823,0.27036574,0.2635646,0.24987423,0.23321004,0.22524963,0.2392296,0.2784128,0.32921854,0.36921918,0.38695398,0.3903279,0.394889,0.40555584,0.41412,0.4150224,0.4118909,0.41128412,0.41016743,0.40243277,0.39024833,0.38449657,0.39028382,0.39894632,0.3993387,0.39377603,0.392549,0.39929548,0.40123734,0.3893323,0.36844018,0.3552458,0.35619792,0.36541733,0.37575135,0.38905612,0.408515,0.428485,0.43796125,0.4358919,0.43212533,0.43549812,0.44068983,0.4379042,0.4278365,0.4220244,0.42698964,0.43344083,0.42931128,0.4157858,0.40654925,0.40957955,0.41590512,0.41110823,0.39154074,0.36876178,0.35594332,0.35543385,0.35788432,0.35118893,0.33004725,0.2983905,0.2654893,0.23830195,0.21626319,0.19253178,0.16314368,0.13625306,0.13323493,0.17105673,0.24311614,0.3138394,0.3444697,0.32169294,0.26579246,0.20901506,0.17071481,0.15151086,0.14272125,0.13790643,0.13463849,0.1325949,0.13144033,0.13119511,0.13290966,0.13878465,0.15338875,0.1834454,0.23395617,0.29785255,0.35295022,0.37174085,0.3433733,0.2807578,0.21021609,0.15045668,0.106591105,0.07552929,0.05470218,0.043600794,0.04300959,0.054038078,0.076811574,0.10761067,0.13932012,0.16730396,0.19568975,0.23574801,0.29076412,0.3452338,0.3686072,0.34226283,0.27665845,0.2063638,0.16123372,0.14739597,0.15030743,0.15160853,0.14219199,0.1229121,0.10150995,0.08744822,0.08817219,0.104280174,0.13112332,0.16393054,0.20489872,0.25615948,0.3119786,0.35327962,0.36474195,0.34648916,0.31669608,0.29377365,0.28697112,0.2959399,0.3181214,0.346377,0.36840653,0.3688408,0.34412766,0.30399513,0.26735505,0.24719279,0.24952929,0.27502623,0.31999668,0.3716022,0.40798327,0.41160175,0.38218108,0.33727345,0.29777917,0.2762793,0.27642104,0.29877225,0.33789447,0.38007465,0.40621284,0.4102496,0.40351748,0.40271696,0.4100745,0.41353545,0.4087089,0.40570447,0.4181678,0.4399252,0.45347986,0.44976965,0.4393408,0.43569073,0.4376327,0.43549213,0.4270598,0.42221844,0.4264002,0.43296292,0.4326149,0.42810866,0.4286681,0.43549773,0.43757164,0.42828098,0.41427502,0.40853986,0.41359082,0.42258945,0.43167058,0.44457355,0.46348894,0.47866866,0.47853088,0.46289417,0.445806,0.43813327,0.4369363,0.43160447,0.4215212,0.41579914,0.42311433,0.43810037,0.45379123,0.46717787,0.4828434,0.49669436,0.49898684,0.4819953,0.4518455,0.42192307,0.40246603,0.39461735,0.3941752,0.39668858,0.39952573,0.40107906,0.4004241,0.39721933,0.39232567,0.38729003,0.3847014,0.3869876,0.39492702,0.40316114,0.4012765,0.37936184,0.33965734,0.29673538,0.26877728,0.2625849,0.27224168,0.28729323,0.30327666,0.32169226,0.3451333,0.3733724,0.4053991,0.43795836,0.46443698,0.475276,0.46882045,0.4575373,0.45938858,0.48007312,0.50394696,0.5102902,0.49098778,0.4574441,0.42631435,0.40869787,0.4079083,0.42335355,0.4490603,0.47199383,0.47666287,0.45827973,0.4258804,0.39573404,0.37696216,0.36977768,0.37061653,0.37688783,0.38658723,0.39635143,0.40659368,0.42201066,0.44631052,0.47264504,0.48537287,0.4740838,0.44427434,0.41302428,0.39338684,0.3868226,0.38882217,0.3979763,0.413842,0.43178406,0.44217083,0.4432045,0.4425232,0.44934925,0.45862284,0.45554173,0.43109724,0.39377752,0.36157945,0.3464937,0.3480215,0.35901114,0.37344137,0.388924,0.40407375,0.4172295,0.42624143,0.43012235,0.42928866,0.42608917,0.4234238,0.4221407,0.41750348,0.40050983,0.36440405,0.3128601,0.25922278,0.21799128,0.19481172,0.18568331,0.1834255,0.18371445,0.18570417,0.19080234,0.20384742,0.23516494,0.29060733,0.36107954,0.41855106,0.43918243,0.4217515,0.390278,0.37016976,0.37262115,0.39493468,0.43125534,0.47263446,0.5055042,0.51547545,0.5033041,0.4848455,0.47681236,0.47768632,0.4713563,0.44698644,0.41016212,0.3770299,0.35792866,0.35376737,0.3604637,0.37388292,0.39039233,0.4058707,0.4203159,0.43779656,0.4610331,0.48520687,0.50036496,0.5048774,0.50644934,0.5127249,0.51688415,0.5063365,0.48053405,0.4566877,0.4512335,0.46250594,0.47567567,0.48380753,0.4919862,0.5053888,0.5149916,0.5071723,0.4776412,0.4364371,0.39704713,0.36696878,0.3488728,0.3438448,0.3523688,0.37037417,0.39080444,0.40762436,0.41912785,0.42661798,0.4315969,0.43518564,0.43814507,0.43952367,0.43591687,0.42333734,0.40266752,0.38014248,0.36322644,0.35359263,0.34693694,0.33789507,0.32556784,0.31358698,0.30636692,0.30757368,0.3203775,0.3488492,0.39074197,0.43542787,0.46591535,0.4762778,0.47533286,0.4776144,0.4842197,0.4813238,0.45758474,0.4166875,0.37566233,0.34896255,0.34351543,0.36005786,0.39446628,0.4340967,0.45865571,0.45328495,0.42100987,0.38056222,0.3514816,0.34095857,0.34587324,0.3595055,0.37529954,0.38638106,0.38870904,0.3876771,0.39626682,0.42137417,0.45348123,0.47061262,0.46088335,0.43087044,0.4009764,0.38521394,0.38741127,0.4040682,0.4305505,0.45747697,0.47272113,0.46929133,0.45672476,0.45098424,0.45963123,0.46980086,0.4651451,0.44121692,0.41065952,0.38793907,0.3781073,0.3771471,0.3790407,0.3810316,0.38330147,0.38928506,0.40426603,0.43191445,0.46602726,0.49110577,0.49047145,0.46385658,0.4255725,0.3950785,0.379336,0.37780583,0.38885048,0.41253015,0.4412609,0.4581816,0.45160612,0.42683828,0.4021355,0.3903216,0.39134112,0.40052137,0.41766146,0.44160834,0.46362355,0.47064623,0.4639602,0.4588063,0.4694802,0.4892125,0.49788693,0.48527026,0.4602027,0.44015685,0.43162414,0.4331113,0.44261932,0.46174312,0.48623928,0.50452286,0.50776905,0.5006842,0.49488714,0.49514413,0.49200356,0.47680244,0.451725,0.4300858,0.4207447,0.42397964,0.43661356,0.45769703,0.48353383,0.5029158,0.50232095,0.48072562,0.44989574,0.4252616,0.41065714,0.40257576,0.39798763,0.39850977,0.4038979,0.4083564,0.4088051,0.41135466,0.42613158,0.4523362,0.47331595,0.47141767,0.44382378,0.40478352,0.3702552,0.34688917,0.33301523,0.32680643,0.32953385,0.34217894,0.36170435,0.38195673,0.39682564,0.4033592,0.4021097,0.39690438,0.39283955,0.3921984,0.39146802,0.38254988,0.36031294,0.32687,0.2892463,0.25223747,0.21699347,0.1868306,0.17081255,0.17875986,0.21076049,0.25621012,0.3025993,0.34609035,0.3865026,0.41992632,0.43606725,0.4340254,0.42547622,0.42475438,0.43051967,0.43020296,0.4202336,0.41262534,0.41945505,0.4342161,0.44045126,0.43547347,0.4327804,0.44397053,0.45852017,0.46009228,0.4479257,0.4414954,0.45675775,0.48731396,0.51353204,0.52063316,0.50921303,0.48661983,0.46196237,0.4450686,0.44526458,0.46139705,0.47919622,0.48128983,0.4680673,0.4559361,0.46076563,0.47707245,0.48757994,0.48317572,0.47211173,0.4644474,0.4587318,0.44769225,0.4360393,0.43690738,0.45614108,0.47759923,0.48095146,0.45972753,0.4286234,0.4052683,0.39689282,0.3984709,0.4015467,0.39986822,0.39038673,0.37289646,0.35030568,0.32861435,0.3143491,0.31302842,0.3259444,0.35173962,0.382782,0.40901026,0.41741455,0.40297487,0.36864433,0.3267698,0.28756618,0.25688738,0.23543034,0.22511582,0.22870068,0.24624705,0.27329805,0.3047564,0.3401269,0.37712374,0.40630794,0.4130453,0.39732683,0.37795186,0.3764532,0.39250314,0.4061979,0.40526757,0.39727393,0.3953366,0.39583063,0.38632688,0.3698229,0.3654112,0.38540867,0.4148068,0.43170622,0.4335219,0.43721452,0.45208132,0.46245286,0.44922766,0.41215524,0.37204137,0.34535614,0.33378854,0.3333082,0.3466629,0.37546286,0.40956244,0.42957333,0.43099377,0.4272834,0.43434858,0.4468697,0.44769916,0.43392536,0.42327058,0.43182275,0.45055786,0.4576894,0.44886208,0.44066182,0.44926918,0.4637889,0.4633689,0.43791667,0.40195668,0.37431625,0.36594573,0.3771198,0.4063464,0.44664618,0.48295975,0.4944992,0.4734719,0.43042234,0.38793167,0.36056724,0.34983838,0.34961864,0.35449597,0.36135945,0.3672998,0.3734882,0.3865998,0.4131817,0.44812933,0.47439432,0.4784234,0.46590003,0.45448852,0.45454624,0.45706093,0.45110452,0.43955883,0.43706593,0.4494026,0.46556783,0.47359058,0.47360995,0.473851,0.47466254,0.46842542,0.4540536,0.44130144,0.43919632,0.44314227,0.44255936,0.43725547,0.43710673,0.4468129,0.45511833,0.44889644,0.43216455,0.42309472,0.43283117,0.44991943,0.4550301,0.44141635,0.41961727,0.4025478,0.39395928,0.394007,0.40574074,0.431489,0.4632671,0.48475385,0.48794556,0.48094866,0.478284,0.48321822,0.48658755,0.4834149,0.4792585,0.48175022,0.48533478,0.47806028,0.45771027,0.4354675,0.4240891,0.42179906,0.41997358,0.4119486,0.40210056,0.39574516,0.39586112,0.40095058,0.41084406,0.42362082,0.43475327,0.43621302,0.42546782,0.40649152,0.38808647,0.3739611,0.3628082,0.35007295,0.33415267,0.31572655,0.29738203,0.28071395,0.26634517,0.25321233,0.24066222,0.2295189,0.22254932,0.22161132,0.22543271,0.22976893,0.23060827,0.22736187,0.22261418,0.21989268,0.22027181,0.22279574,0.22576827,0.22962649,0.23532282,0.24286143,0.24914718,0.25132003,0.24878496,0.24462676,0.24200577,0.24236797,0.24480446,0.24787937,0.25039384,0.25152984,0.25111145,0.24990612,0.24895674,0.24795026,0.24398498,0.23482342,0.22221084,0.21392705,0.21751295,0.23527746,0.26169035,0.28866017,0.30953178,0.32144144,0.32445654,0.32060453,0.3124542,0.30099756,0.28490353,0.26190758,0.2322945,0.20010579,0.17259139,0.15908848,0.17125998,0.2184261,0.29609355,0.3805746,0.438943,0.45508337,0.43885496,0.4171153,0.40766868,0.4120164,0.41992012,0.424086,0.4238734,0.42275822,0.42261043,0.42165813,0.41827488,0.4130837,0.41134414,0.41715026,0.4311061,0.44482374,0.4468212,0.42793238,0.39102197,0.34754512,0.31117454,0.28791818,0.27681482,0.27303204,0.2728773,0.27369404,0.27625585,0.2862418,0.31544948,0.3693215,0.4374415,0.49340925,0.51903576,0.5198734,0.5166287,0.5192581,0.515775,0.49322745,0.4547745,0.42046916,0.40512082,0.4121472,0.4365921,0.47285843,0.5086816,0.5257837,0.5082865,0.46070364,0.4050999,0.36807406,0.3612409,0.3809552,0.41510394,0.44928193,0.46975574,0.46416536,0.4318684,0.38327467,0.3369979,0.30466983,0.28890228,0.28396824,0.28416395,0.28462827,0.2840943,0.28652287,0.30353296,0.34653577,0.41266072,0.48051557,0.5239904,0.53730255,0.5347042,0.5330952,0.529841,0.5131306,0.48002648,0.44485322,0.42481437,0.42627406,0.44559172,0.47638187,0.5106885,0.53616935,0.5387518,0.51587325,0.48046327,0.4534767,0.4470035,0.45895448,0.47846237,0.493745,0.49675462,0.48375157,0.458541,0.43095446,0.41269925,0.41011277,0.42345095,0.44968238,0.48592257,0.5250824,0.55429864,0.560412,0.5449346,0.5277064,0.5283492,0.54683846,0.5602062,0.55185956,0.5249446,0.49924818,0.48583007,0.48425588,0.49130428,0.50887877,0.53557473,0.5605016,0.57062507,0.56706375,0.5611527,0.5615966,0.5617625,0.5541801,0.5430317,0.5403459,0.54776937,0.5485623,0.52832896,0.4897426,0.4523492,0.4299662,0.4248439,0.43413976,0.45928302,0.49631324,0.5299895,0.5383703,0.5182215,0.48489523,0.46276835,0.45838323,0.46647248,0.47684765,0.48626387,0.49067533,0.4854665,0.47120214,0.46018097,0.46528384,0.48506808,0.49966797,0.4919056,0.46260163,0.43052086,0.4114733,0.40690896,0.4072183,0.40355647,0.39500698,0.38702154,0.3890028,0.41009644,0.45323154,0.50714725,0.54946417,0.56085587,0.5425079,0.5105254,0.48035732,0.451013,0.4157181,0.37308857,0.33325577,0.30642965,0.29541567,0.29480776,0.2969452,0.2974261,0.29657778,0.301007,0.32078514,0.3648684,0.42886114,0.4943054,0.53687334,0.5494015,0.54197973,0.529878,0.51468754,0.49301887,0.47257558,0.46967563,0.48946357,0.51322013,0.519984,0.51014096,0.50197077,0.50700784,0.5149556,0.5143679,0.5090297,0.51434916,0.5329742,0.5486648,0.5456309,0.52390975,0.49637124,0.46934327,0.4391389,0.40140244,0.36107787,0.32909012,0.31237063,0.30945668,0.31341866,0.3177462,0.3194383,0.32139072,0.33149052,0.36107254,0.41150388,0.4696441,0.50907356,0.51680386,0.5018968,0.48954824,0.49121976,0.49890932,0.49813676,0.4881816,0.47863245,0.47643843,0.4788933,0.4842192,0.49426588,0.50940686,0.51960427,0.5142794,0.4962754,0.48118162,0.4808377,0.49034867,0.4985104,0.50241596,0.50749224,0.51453876,0.5141147,0.50105196,0.4826816,0.47304174,0.47515118,0.4806278,0.4823146,0.48305714,0.48796245,0.49409083,0.49367276,0.4871937,0.48394433,0.4901836,0.49893937,0.5001293,0.4960874,0.49941906,0.51615566,0.53451705,0.5394683,0.530942,0.52201706,0.5223541,0.52622813,0.52674025,0.52489686,0.528608,0.53738576,0.54262424,0.53888196,0.5301833,0.5234132,0.5183637,0.5119321,0.5061626,0.50691223,0.5136313,0.51597077,0.5067234,0.4924388,0.4872007,0.49601138,0.5088019,0.51462895,0.51313597,0.51198214,0.5132301,0.5115919,0.5042417,0.49662653,0.49430832,0.49400207,0.48744717,0.47561848,0.4696256,0.47661814,0.4867414,0.47960845,0.44648194,0.39706698,0.35222754,0.32334912,0.31130528,0.31006876,0.31678382,0.32979104,0.3469487,0.36411622,0.3774363,0.3853452,0.38829538,0.38820612,0.38721046,0.3863841,0.38321766,0.37184083,0.34701368,0.31125727,0.27485868,0.25054893,0.24287379,0.24720554,0.2528852,0.25288564,0.24597126,0.23801534,0.23797643,0.25649396,0.29774594,0.35360858,0.4045008,0.43531153,0.44961897,0.4623636,0.4801971,0.48925614,0.47377184,0.43424305,0.3908492,0.36348593,0.35998884,0.37722376,0.40901348,0.44501457,0.47070527,0.47170606,0.44856107,0.41564402,0.39319804,0.3897204,0.40207434,0.41929492,0.4297842,0.42176196,0.3865048,0.3247351,0.24890125,0.17717856,0.122620486,0.089044124,0.07496122,0.078983516,0.099529706,0.13186005,0.1674133,0.19922608,0.22463365,0.24595468,0.26595798,0.28887329,0.31945547,0.36209437,0.41167024,0.45333764,0.46855596,0.45236585,0.41481665,0.37453,0.34245047,0.32108596,0.30858615,0.30677378,0.31978902,0.34986305,0.39287475,0.43929386,0.47881833,0.505393,0.51898867,0.5222321,0.51709235,0.50165385,0.47440073,0.43615833,0.39395723,0.3549758,0.32321587,0.29571062,0.2680513,0.24011469,0.21769492,0.20695756,0.20760924,0.21580638,0.23264234,0.26584995,0.3179053,0.3758107,0.4197255,0.44342795,0.456769,0.4698781,0.47738138,0.4711223,0.4566361,0.45071736,0.46053717,0.47367597,0.47599116,0.46844375,0.46232128,0.46085194,0.45181176,0.42731252,0.39331493,0.36850676,0.36215627,0.37125468,0.3847107,0.39375076,0.39212915,0.37629235,0.35120597,0.33281794,0.33893684,0.36965695,0.40442944,0.41946825,0.41492626,0.41003647,0.42128316,0.44010937,0.44969139,0.44641152,0.44357088,0.45000377,0.456843,0.45295873,0.44162872,0.43657294,0.44159243,0.44207922,0.42509374,0.3928174,0.3640306,0.35162327,0.35598993,0.36631855,0.37419292,0.37724283,0.37886655,0.3828065,0.390673,0.40080008,0.41028157,0.41715863,0.4216837,0.4250028,0.4256363,0.41866663,0.39835274,0.3647025,0.32515296,0.29072726,0.26835683,0.25734589,0.2518935,0.24557947,0.23525332,0.22177084,0.21242325,0.21919031,0.25378385,0.31176746,0.37125006,0.40331677,0.4033096,0.39159122,0.39573225,0.41738763,0.436638,0.43493488,0.4150703,0.3932879,0.38260877,0.38657427,0.405769,0.4364741,0.46802583,0.48064092,0.46370795,0.42503428,0.38887587,0.3737898,0.38237193,0.40292132,0.42219886,0.42830634,0.4125239,0.36943164,0.30410004,0.23059301,0.16664632,0.12378824,0.10571072,0.10920623,0.1272291,0.14930382,0.16741727,0.18202603,0.20625712,0.25265756,0.31714222,0.37424922,0.39934266,0.3946499,0.38441762,0.38760707,0.39540944,0.3919965,0.38006544,0.38211083,0.41197714,0.45720002,0.4965137,0.52011436,0.531347,0.52937007,0.5067466,0.46655318,0.4294417,0.41821173,0.43447757,0.45883858,0.47506067,0.48221508,0.48893154,0.49518287,0.4956886,0.49071085,0.48929775,0.49722782,0.50896233,0.515527,0.51733536,0.5206785,0.5275199,0.52980167,0.5228663,0.51319546,0.5109277,0.5162948,0.5178328,0.5096876,0.49808297,0.49220085,0.4890859,0.47723356,0.45568427,0.43858328,0.44054687,0.45896825,0.47854885,0.49104556,0.49991393,0.5100844,0.5158829,0.5099706,0.4966799,0.4885882,0.4905716,0.49122438,0.47815117,0.4555949,0.43981898,0.4407589,0.4493598,0.4529016,0.45025778,0.4513023,0.46146676,0.47327375,0.47925618,0.48015165,0.48181894,0.48186493,0.4715393,0.45138898,0.4356842,0.438193,0.45396078,0.46512362,0.46455327,0.46279314,0.47237232,0.4861964,0.48422167,0.456203,0.4124265,0.37371945,0.35101306,0.3432404,0.34206054,0.34327114,0.34611234,0.3532032,0.3648177,0.37969947,0.39335063,0.40317866,0.40997246,0.42094147,0.44362268,0.47646093,0.5045538,0.50593376,0.47013083,0.40206918,0.31972992,0.23938997,0.1763289,0.141917,0.14261067,0.17219423,0.21385491,0.25021133,0.27307272,0.28527746,0.2936258,0.30512023,0.3253783,0.36059067,0.4094849,0.4608303,0.49413046,0.49870816,0.47967842,0.45590505,0.44060215,0.43524384,0.4313461,0.42112565,0.4030293,0.38318062,0.37181935,0.37648383,0.3968942,0.42519283,0.4533889,0.4785482,0.50389665,0.5295908,0.54744524,0.5410748,0.4999894,0.42904308,0.34694406,0.27334586,0.21854801,0.18569022,0.17370407,0.18089555,0.20005922,0.22266577,0.2410943,0.2554335,0.26900277,0.28654,0.31062838,0.3450016,0.3908939,0.44182837,0.48133802,0.49329543,0.47643778,0.44522712,0.41854644,0.40441227,0.40006688,0.39823854,0.39552578,0.3923619,0.39081374,0.39120558,0.3918316,0.39067784,0.38770494,0.38701698,0.3949748,0.41767612,0.4507431,0.47898945,0.48024848,0.4462478,0.38764536,0.32959175,0.28991938,0.2701066,0.25692546,0.2354186,0.19918145,0.15498504,0.11867539,0.10674793,0.12558462,0.1687811,0.22214477,0.2758331,0.33015096,0.38770977,0.442772,0.47981516,0.49089575,0.48520687,0.47910854,0.47648564,0.4659306,0.44337225,0.4227587,0.42271772,0.44183782,0.45949447,0.4634564,0.46183404,0.4715327,0.49204898,0.5095834,0.515191,0.51553243,0.51874477,0.5216174,0.515281,0.503135,0.49766493,0.5054172,0.514678,0.51266724,0.5024585,0.49815345,0.5049176,0.5085957,0.49780464,0.4776219,0.46502385,0.46373716,0.46104768,0.44713962,0.43021384,0.4271809,0.44025806,0.45376912,0.45154107,0.4330999,0.40906152,0.38570085,0.35911262,0.3232567,0.27939314,0.23654707,0.20421745,0.18534045,0.17482722,0.16315018,0.14387192,0.12164376,0.114641815,0.14645237,0.2229234,0.32019284,0.39106297,0.4029369,0.35719123,0.28701052,0.22406107,0.18272917,0.15972592,0.14821099,0.14339827,0.1424889,0.14322478,0.14430161,0.14628771,0.15047294,0.16002499,0.18092336,0.2233293,0.28971803,0.36533272,0.4161838,0.41397372,0.35667193,0.2713088,0.19057119,0.13255751,0.09848431,0.08110606,0.07399864,0.072390914,0.07536918,0.08375037,0.099072635,0.11937318,0.14238806,0.17019908,0.21313345,0.27901182,0.35733077,0.41578054,0.42082343,0.36871395,0.28862855,0.22116138,0.18504488,0.17422728,0.16969351,0.15859292,0.13777287,0.112466015,0.09234779,0.08695128,0.100399315,0.12876086,0.16621931,0.21259554,0.2720939,0.33866343,0.3894736,0.39538184,0.3491011,0.27069148,0.19548227,0.1476486,0.13767536,0.16738854,0.23070927,0.30626667,0.35699704,0.35569397,0.30377853,0.2319173,0.17283696,0.14505254,0.15273194,0.19462101,0.25893822,0.32095,0.35190347,0.34718058,0.32862127,0.3234278,0.33372816,0.34127605,0.33693162,0.3316644,0.33999792,0.35501722,0.35970816,0.3521562,0.34909213,0.3625795,0.380168,0.38405594,0.3771874,0.3831463,0.41981792,0.476499,0.5287306,0.5587328,0.56816626,0.56948274,0.57131296,0.57712895,0.58106846,0.5791302,0.56993073,0.5581782,0.5499235,0.5445942,0.54039663,0.53424996,0.52841073,0.5236066,0.5161877,0.5012198,0.4763006,0.44947717,0.43335935,0.4357287,0.4504191,0.4587759,0.4503423,0.4291586,0.410324,0.39804634,0.38709167,0.37571228,0.37484375,0.39445043,0.42735207,0.45465013,0.46807635,0.47464383,0.4845712,0.4917206,0.48534703,0.46199885,0.43456915,0.4157801,0.4096367,0.41036606,0.4118787,0.41177627,0.41071495,0.40990007,0.41042528,0.412402,0.41469014,0.41507888,0.41265908,0.40959397,0.40785113,0.4067514,0.40102592,0.38924155,0.3749915,0.36695716,0.36839786,0.37736917,0.38792214,0.3976047,0.4061639,0.4157655,0.42830214,0.44705126,0.47210705,0.496071,0.5049429,0.48997936,0.4615352,0.44122767,0.4428527,0.45485684,0.45515016,0.43217635,0.39635047,0.36583853,0.35249472,0.3587303,0.38416585,0.42413998,0.46706995,0.49394098,0.49414673,0.47119984,0.44160652,0.41815725,0.40561804,0.40237275,0.40658292,0.4156992,0.42475602,0.43061316,0.4361321,0.44841135,0.46785632,0.48516473,0.48984444,0.4844599,0.4801052,0.4827027,0.4832667,0.47207054,0.4527963,0.44035915,0.4434465,0.45578063,0.46721697,0.47567537,0.48389146,0.48946086,0.48173442,0.45760742,0.42536154,0.40196028,0.39476296,0.4010501,0.411173,0.4190812,0.4225172,0.42216936,0.41890302,0.41356108,0.40664062,0.3987197,0.3913916,0.38764486,0.39099133,0.4012982,0.4134742,0.41895148,0.41391218,0.40180936,0.39106455,0.38619485,0.38550678,0.38412526,0.37921765,0.37065914,0.35962448,0.3497835,0.34904137,0.3653799,0.3961912,0.4249443,0.43139133,0.41101578,0.3772962,0.35105252,0.34256694,0.35237375,0.37678838,0.41108695,0.44459307,0.46252203,0.45983562,0.44959024,0.45062315,0.46683434,0.48109075,0.47716665,0.456213,0.43588337,0.42976543,0.4384376,0.45333835,0.46586242,0.4711074,0.46786118,0.46051475,0.45765638,0.46578953,0.4808469,0.49062887,0.48625246,0.47328892,0.46336183,0.46058807,0.45531842,0.4403157,0.42307734,0.41929814,0.4344759,0.45654312,0.4726272,0.48147514,0.49027216,0.49897012,0.49661335,0.47523117,0.43818346,0.39945206,0.3696479,0.35318908,0.3482159,0.3520645,0.3611722,0.37203243,0.38104224,0.38545546,0.3833702,0.37465867,0.3622292,0.35226586,0.35158727,0.36181915,0.37707734,0.38679138,0.38524923,0.37517586,0.36519912,0.3607414,0.36103562,0.36162448,0.35979047,0.35659194,0.3553102,0.36036584,0.37629187,0.40585747,0.44500458,0.48266336,0.50725883,0.5177341,0.52141815,0.52455187,0.52218133,0.50630003,0.4754542,0.4387072,0.40667042,0.3869305,0.38380396,0.40033746,0.43076107,0.45977616,0.46645603,0.44362077,0.39996374,0.35642946,0.32745036,0.3181465,0.32478428,0.34129432,0.36024585,0.37565947,0.3881162,0.40560147,0.43511203,0.47091267,0.49647164,0.4996816,0.48794484,0.47737733,0.47692016,0.4774947,0.47131506,0.46084985,0.4565917,0.45949617,0.4616193,0.45986548,0.46188703,0.47471574,0.4905027,0.49159226,0.47040233,0.4368563,0.40972686,0.39874497,0.40328443,0.41889027,0.4419669,0.46606335,0.48086622,0.4813259,0.47586358,0.47782436,0.49066195,0.50054187,0.49354172,0.46849743,0.4376203,0.41150495,0.39440134,0.38996422,0.40385053,0.43333685,0.46104923,0.46415576,0.43939576,0.40330717,0.3781369,0.36787048,0.36717263,0.3740985,0.39435038,0.4244496,0.44614628,0.44428706,0.4267833,0.41683993,0.42629388,0.44124702,0.4423549,0.42672086,0.40911695,0.40168545,0.40351573,0.40999737,0.42179045,0.44081342,0.46078718,0.4697796,0.46656463,0.46154037,0.46540216,0.4710265,0.46256688,0.43488893,0.40213576,0.3842801,0.38703135,0.40433487,0.42815056,0.4550111,0.4773169,0.4821825,0.46312532,0.431036,0.4063641,0.4000469,0.40503037,0.40929332,0.40963998,0.41186658,0.41889623,0.42693362,0.43396834,0.44420707,0.46095446,0.47622266,0.4751005,0.45143852,0.41344061,0.37626457,0.34790504,0.3296169,0.32090735,0.32369864,0.33846715,0.36105514,0.3846012,0.4028536,0.412964,0.41517428,0.41335353,0.41318753,0.41931903,0.4300563,0.43783703,0.4325893,0.40935782,0.3687996,0.3163257,0.2589912,0.20726241,0.17433399,0.17109735,0.19897652,0.24846278,0.3064191,0.36428878,0.41824248,0.46262935,0.4883205,0.4908812,0.48038018,0.4736494,0.4795233,0.4898518,0.4939327,0.49257445,0.49508047,0.50479424,0.5121414,0.50979006,0.501529,0.49697924,0.49653748,0.49081,0.47676158,0.4640001,0.46386194,0.47335434,0.47657704,0.4654318,0.44572583,0.4316537,0.42702004,0.42886063,0.4342279,0.44562495,0.46102974,0.4707066,0.46559274,0.45195484,0.44521728,0.45429277,0.46931812,0.47678503,0.47554222,0.47544587,0.48099992,0.4826829,0.47334516,0.45940745,0.45535588,0.46380463,0.47062957,0.46245837,0.44016194,0.41863957,0.40921125,0.41190708,0.41766858,0.41708782,0.4068792,0.3886125,0.36868167,0.35172594,0.3417174,0.33711267,0.33772597,0.34194627,0.35287416,0.36886325,0.38562384,0.39046487,0.374199,0.33338037,0.27616116,0.21477245,0.16275226,0.13147478,0.12941985,0.15848488,0.21084277,0.2732328,0.334908,0.39322963,0.4457133,0.4852066,0.50141805,0.49692228,0.48559096,0.4800494,0.47608015,0.4619875,0.43899736,0.42192993,0.42132047,0.42652723,0.42145744,0.4070358,0.4002521,0.41115525,0.42670467,0.42980245,0.4216393,0.41901818,0.43117905,0.4435641,0.43897125,0.41423318,0.38540664,0.36471072,0.35445833,0.35322133,0.36603808,0.3960472,0.43441927,0.4634376,0.47606477,0.4794067,0.48346666,0.48472083,0.47477385,0.45613256,0.4440032,0.44757822,0.45787165,0.45899177,0.4505271,0.4453256,0.45348826,0.46587896,0.4708251,0.46826383,0.47050536,0.48259947,0.49454573,0.49610212,0.48977008,0.4875059,0.4926251,0.49621847,0.49108502,0.48171532,0.47657883,0.4742514,0.46417502,0.4449141,0.42742077,0.42569932,0.43792596,0.45344076,0.46553627,0.47839507,0.4941257,0.5048838,0.5004173,0.48463735,0.472069,0.47287944,0.47992316,0.48204908,0.47900304,0.48048973,0.49122167,0.5017678,0.5028077,0.49532053,0.4888749,0.48674044,0.48358294,0.47721252,0.4744912,0.48232627,0.4957316,0.5004522,0.49181953,0.47709247,0.46693718,0.45941862,0.44854048,0.4371226,0.4375669,0.4564284,0.48287645,0.5003045,0.5034972,0.5007004,0.5003659,0.50012594,0.49522838,0.48839393,0.48703825,0.4916831,0.49216747,0.48245692,0.46873084,0.4622827,0.46420345,0.46405533,0.45694736,0.45072237,0.45657894,0.4726542,0.48427644,0.4837465,0.4761509,0.4748925,0.48058474,0.4847598,0.47644135,0.4566706,0.43346238,0.4171923,0.4131259,0.42359838,0.4458549,0.47287557,0.49174285,0.49215198,0.4721535,0.44127974,0.4120146,0.39174244,0.37970233,0.3709788,0.36192665,0.35193613,0.34293368,0.3365864,0.33218718,0.32570294,0.31266335,0.29263523,0.27139983,0.2573127,0.25462142,0.26008376,0.26525405,0.26316717,0.25193983,0.23533297,0.21863522,0.20682864,0.2032963,0.21045375,0.22814417,0.25250933,0.27701262,0.2962788,0.30900353,0.31745264,0.32429555,0.33067957,0.3360184,0.33949867,0.34042254,0.33900356,0.33613288,0.33385983,0.33273673,0.33008873,0.3193067,0.29705456,0.2693198,0.2524314,0.26154336,0.29946318,0.35393086,0.40640327,0.4430736,0.45877132,0.4556094,0.43856108,0.41350737,0.38547572,0.35694906,0.32785845,0.29658806,0.2635797,0.2313243,0.20652111,0.1992886,0.222995,0.28153586,0.36173198,0.4326943,0.46987072,0.4695588,0.45161107,0.43673977,0.43410042,0.43848446,0.4424456,0.44287694,0.44259503,0.44647968,0.4571708,0.47347248,0.49039802,0.50332737,0.5101684,0.5118275,0.5078883,0.49360254,0.4620407,0.4116706,0.3529383,0.30495963,0.2837217,0.2910968,0.3144014,0.3365301,0.34664103,0.3452945,0.34255517,0.35185096,0.38243333,0.42931128,0.4740316,0.4948311,0.48763207,0.46907973,0.46005562,0.46324527,0.46109045,0.43924487,0.40093067,0.36504266,0.34546325,0.34677485,0.36681846,0.4026663,0.4446764,0.4772221,0.48703277,0.47737148,0.46416438,0.46341062,0.47666875,0.49468294,0.50588024,0.5036798,0.4851164,0.44940948,0.4001867,0.34866655,0.3113024,0.3009661,0.31778315,0.34875107,0.37608448,0.3886266,0.38658354,0.38075277,0.38524327,0.41036192,0.45045725,0.4868815,0.49892303,0.4876646,0.47108078,0.46679208,0.46954298,0.46233606,0.43713883,0.40495148,0.38339648,0.3812512,0.39754286,0.42703784,0.46187893,0.48897067,0.49514985,0.47989774,0.46149555,0.4600177,0.47946677,0.500971,0.5073121,0.49532923,0.47657582,0.45809722,0.44125533,0.4287543,0.43042317,0.45078102,0.48116145,0.5031069,0.5100174,0.50791377,0.5075844,0.5074103,0.5013359,0.49054596,0.48528484,0.49113354,0.49907413,0.4961841,0.4809762,0.463627,0.4539391,0.45191094,0.45602188,0.46879864,0.49179837,0.5170961,0.5298545,0.52598983,0.51563376,0.5116845,0.51362777,0.51108986,0.50159913,0.49490127,0.49971446,0.50982803,0.5088099,0.49166992,0.46769252,0.4532245,0.4520742,0.46087503,0.47509798,0.49478522,0.51418614,0.5207576,0.5046696,0.4730725,0.44361246,0.42877886,0.42477098,0.42252108,0.4197506,0.4206982,0.42662874,0.43250883,0.43724248,0.44750777,0.4685396,0.49199733,0.49800238,0.47640428,0.43571064,0.39901087,0.3818779,0.38893446,0.41445187,0.45188752,0.4877235,0.5058046,0.4925848,0.45312878,0.406355,0.37343457,0.3616033,0.36451292,0.3709428,0.37202778,0.36495087,0.35047364,0.33353746,0.3196428,0.313369,0.31547728,0.3238689,0.33506155,0.34613752,0.3553766,0.36205637,0.36575457,0.36580774,0.36167634,0.3535907,0.3441782,0.33961275,0.348996,0.37849924,0.42199662,0.46110606,0.4754847,0.46218857,0.4354168,0.41656458,0.41598544,0.43402097,0.46540177,0.5020376,0.53002256,0.5322133,0.5023175,0.4521463,0.40503192,0.37766218,0.37066734,0.373693,0.37601578,0.3723704,0.36238202,0.34817123,0.33442488,0.32640672,0.32836604,0.3397168,0.35608658,0.3711381,0.380272,0.38134596,0.37462032,0.36188892,0.3458346,0.32963976,0.31589746,0.30857393,0.3138053,0.34033617,0.3892077,0.44715643,0.48793292,0.49218082,0.46241608,0.42110488,0.39320108,0.39142847,0.41594067,0.4586153,0.50492835,0.5370507,0.5399268,0.51395017,0.47352108,0.4396956,0.42556813,0.43433258,0.46191812,0.50042796,0.53720665,0.55873317,0.55956984,0.54945797,0.5425604,0.5421131,0.53690654,0.51796395,0.49482873,0.48489237,0.49466148,0.5101045,0.5168093,0.5156781,0.5170336,0.524042,0.5255355,0.5158914,0.50266427,0.49983335,0.50741404,0.5117491,0.5039798,0.4907047,0.48415163,0.4856573,0.48582187,0.4827459,0.4843972,0.4986783,0.5178585,0.5287635,0.5284989,0.5264583,0.52951866,0.5308211,0.5204193,0.50071687,0.48523846,0.48338512,0.48917842,0.49265304,0.49332714,0.4983635,0.50884265,0.5127961,0.5017525,0.48068917,0.46496257,0.46020436,0.4601669,0.4575543,0.4566964,0.46416023,0.4786646,0.48821005,0.4889221,0.48617828,0.48808607,0.48856565,0.4754219,0.4443909,0.40581998,0.37569305,0.360698,0.35831878,0.3595771,0.3587103,0.35271034,0.3459287,0.34676638,0.36610222,0.40379283,0.44536734,0.46694064,0.45789996,0.42967042,0.40483204,0.39326635,0.38438407,0.3641638,0.33182013,0.30135465,0.28459656,0.2823962,0.28731796,0.2935098,0.29970476,0.30594388,0.31088075,0.31237337,0.31043243,0.30703512,0.3067262,0.31552687,0.34129715,0.3852345,0.43633595,0.47358716,0.48406124,0.47702488,0.47273478,0.48176304,0.4913464,0.48781762,0.47240755,0.46067002,0.4586039,0.4545535,0.4358339,0.40424815,0.3767451,0.36620152,0.37436593,0.3941642,0.41802585,0.4374199,0.4419086,0.4231522,0.38407502,0.33962086,0.30799088,0.2969787,0.3017728,0.31117824,0.31773177,0.31950533,0.3200163,0.32604706,0.34787682,0.38945937,0.44160727,0.48232138,0.49683473,0.49101868,0.48302066,0.48224792,0.47979522,0.46837482,0.4552299,0.45564327,0.4710476,0.48596993,0.48923555,0.4849011,0.4846281,0.48807406,0.48595834,0.476318,0.46956143,0.47465947,0.48487914,0.48456442,0.46881792,0.44585142,0.4279429,0.41586635,0.40833625,0.4088956,0.4260395,0.45699498,0.48485446,0.49403718,0.4882059,0.4831163,0.48740098,0.49146888,0.4866371,0.4778349,0.4778402,0.48686433,0.48875436,0.47329518,0.44641295,0.4259732,0.41683853,0.41083166,0.39669266,0.37553766,0.3572271,0.35000548,0.35542202,0.3712099,0.39523354,0.42261338,0.4442699,0.45111847,0.4428307,0.42853642,0.42000973,0.42242405,0.4339738,0.4492943,0.46190152,0.46398214,0.44887805,0.4194206,0.38991714,0.37671968,0.38287926,0.39554068,0.40103278,0.39766803,0.3939605,0.39355484,0.3916912,0.38409433,0.37544277,0.3736725,0.37896,0.38426638,0.3862586,0.38951978,0.39859137,0.40739405,0.40436605,0.38427755,0.3547072,0.3292564,0.31740835,0.32171705,0.33924028,0.36621246,0.3985691,0.4337355,0.46851325,0.50026846,0.52514434,0.5420752,0.55053335,0.5535889,0.55257076,0.55041593,0.54721254,0.5447576,0.54230636,0.5397946,0.5335904,0.5202327,0.49636185,0.4645064,0.43149146,0.40641144,0.39339605,0.3911924,0.39409438,0.39803973,0.40061143,0.40262738,0.4042779,0.4067539,0.40879813,0.40817916,0.39846304,0.3727831,0.326072,0.26117137,0.18815883,0.1206908,0.06869891,0.035143122,0.016821513,0.0082445135,0.004646467,0.003138323,0.0023637295,0.0018263995,0.0013902324,0.0010370907,0.00076704187,0.00057488866,0.00045415395,0.00040508152]