[0.05220006,0.049600046,0.044782516,0.040605266,0.03894483,0.039963085,0.042613264,0.045608032,0.047847647,0.04857788,0.047696844,0.046049144,0.045602705,0.048783273,0.05771527,0.0730945,0.09371921,0.11602142,0.13489538,0.14582546,0.14737456,0.14198382,0.13388886,0.1269688,0.12429923,0.12902778,0.14376377,0.16732615,0.19280495,0.20956446,0.2096109,0.19293343,0.16708428,0.14233297,0.12564915,0.120303325,0.1263228,0.14259177,0.16476236,0.1870098,0.20284136,0.2084683,0.20171063,0.18292259,0.15555894,0.12756824,0.10874397,0.105588965,0.117772676,0.13851602,0.15884084,0.17155741,0.17322208,0.16401851,0.14620803,0.12383967,0.10178417,0.08582139,0.08007693,0.0854908,0.09800015,0.11122123,0.11947906,0.12112167,0.11714492,0.10930275,0.09837073,0.08586816,0.07491272,0.06927707,0.07016748,0.07508772,0.0804526,0.08516285,0.09165728,0.10242257,0.1171456,0.13235871,0.1445753,0.1521656,0.15531324,0.15462221,0.1506442,0.1443305,0.1370473,0.12971379,0.12236813,0.115101635,0.110103734,0.110996954,0.12033484,0.13631745,0.15434535,0.17009781,0.18219309,0.19043916,0.19427247,0.19315797,0.18876898,0.18478425,0.1840682,0.18618132,0.18835104,0.18794936,0.18447594,0.17860244,0.17182428,0.16570897,0.16254078,0.16393554,0.16994828,0.17830561,0.18583216,0.19060957,0.19296539,0.19449997,0.19529487,0.19349591,0.18704754,0.17718582,0.16789626,0.16304024,0.16233428,0.16218086,0.15810668,0.1481403,0.13293655,0.115625255,0.10005692,0.08961471,0.085550934,0.08799693,0.0968306,0.11225129,0.13241905,0.1529876,0.16853058,0.17604451,0.17596424,0.17102723,0.16397619,0.15638512,0.14820796,0.13822185,0.12478501,0.10741042,0.08761102,0.06878885,0.054352406,0.045913827,0.04281914,0.04358499,0.048030764,0.05687332,0.07027596,0.08528477,0.0978404,0.10486264,0.10724256,0.107557744,0.10802335,0.10863923,0.108854346,0.108733095,0.108590744,0.10769898,0.104179986,0.09694188,0.08691589,0.07688271,0.06930819,0.065011226,0.0626587,0.060163125,0.056024488,0.050302517,0.044127036,0.038696382,0.034582738,0.031696476,0.029721642,0.028326407,0.027336294,0.02666906,0.02642601,0.026771726,0.027926425,0.02993975,0.03273124,0.035934284,0.038962293,0.04102494,0.0421212,0.044082716,0.05084746,0.06577897,0.08832308,0.112525314,0.13062371,0.13805409,0.13608247,0.12916906,0.12097017,0.11283196,0.106140725,0.104119755,0.11072136,0.12638094,0.1462328,0.1615334,0.16458303,0.15323044,0.13226539,0.11081705,0.09623978,0.091368884,0.096182525,0.111421496,0.13812456,0.17300086,0.20809442,0.23457389,0.24933632,0.25499892,0.25693735,0.25898302,0.26250806,0.26727334,0.27242848,0.27727875,0.28056225,0.28101608,0.27738348,0.26981577,0.25920898,0.24711631,0.23431371,0.22065158,0.20457391,0.18473504,0.16149774,0.1380026,0.11837094,0.10558262,0.09997008,0.10012544,0.103923835,0.109754145,0.116439365,0.12332212,0.12966733,0.13486919,0.13864581,0.14148895,0.14397109,0.14619511,0.14771712,0.14943127,0.15391052,0.16475604,0.18276848,0.20565356,0.22834896,0.24770522,0.26236197,0.27346095,0.28111115,0.28537723,0.28494295,0.27836373,0.2630407,0.23718357,0.20152688,0.1608281,0.122483276,0.093176045,0.07574778,0.068713814,0.0688996,0.07543856,0.0899116,0.11339537,0.14202453,0.16855855,0.18656059,0.1946189,0.19509876,0.19107874,0.18432462,0.17547023,0.16515507,0.1545908,0.14591305,0.14163524,0.14256692,0.14615841,0.14681871,0.14007042,0.12585244,0.10863354,0.09341272,0.0824591,0.07506072,0.06960102,0.06513866,0.06142354,0.05830392,0.05551967,0.05288354,0.050469454,0.048432168,0.046843216,0.045575112,0.044500817,0.043575507,0.042866927,0.042378083,0.041996047,0.04152799,0.040887494,0.04020675,0.039799843,0.03994167,0.040707693,0.04193598,0.04341435,0.044940177,0.046452094,0.04796086,0.04966968,0.051815767,0.054599997,0.057821304,0.060726512,0.062051345,0.060879216,0.05833282,0.058890942,0.07005739,0.09810448,0.14318395,0.19624126,0.24348624,0.27375102,0.28473368,0.2816547,0.27149835,0.25808778,0.24110872,0.21988781,0.19560795,0.17266233,0.15520392,0.14625162,0.14593865,0.15319689,0.16462417,0.17604251,0.18347715,0.18578388,0.18399036,0.17968227,0.17378084,0.16713668,0.16153003,0.1590131,0.16086434,0.1665722,0.1744932,0.18252347,0.18938468,0.1945825,0.1985311,0.20138562,0.20278175,0.20145035,0.19604625,0.18571605,0.17027201,0.15005724,0.12597707,0.10022881,0.07609861,0.05676442,0.043506872,0.035372052,0.030276144,0.026719563,0.024292208,0.023364784,0.0238253,0.025012828,0.02599053,0.02774515,0.033660684,0.048761476,0.0747182,0.107358605,0.13696693,0.15522434,0.15948246,0.15389107,0.14433432,0.13486627,0.1264572,0.11918276,0.11400012,0.11249829,0.11520171,0.1205137,0.12589838,0.12960099,0.13143502,0.13198109,0.13183741,0.13146633,0.13136974,0.13208221,0.13370503,0.13575815,0.13717325,0.13691105,0.13446373,0.13010018,0.12454563,0.11845105,0.11218665,0.10590435,0.099721104,0.09367174,0.087664604,0.08154846,0.07533393,0.069208056,0.06348026,0.05831301,0.053768966,0.049732808,0.04608472,0.0426778,0.03950808,0.03671737,0.034551173,0.03314775,0.032426503,0.03209971,0.03185938,0.031485986,0.03094185,0.030305536,0.029741997,0.029401593,0.02938041,0.0296858,0.030254504,0.03102233,0.03198187,0.03320564,0.034713045,0.03659307,0.03951602,0.045383573,0.05669966,0.07424453,0.09529375,0.11617273,0.13937326,0.17756158,0.24623542,0.3470812,0.46023822,0.55450636,0.6101007,0.62698764,0.6189241,0.59846705,0.57378644,0.5490357,0.5267556,0.50679886,0.48679888,0.4638532,0.43673936,0.40772247,0.3821058,0.36517906,0.35795894,0.3570367,0.3561984,0.3509169,0.33821166,0.31811056,0.2915226,0.2619934,0.23388381,0.2116283,0.19589227,0.18432707,0.17506714,0.17053735,0.17532237,0.19026858,0.21015303,0.22727193,0.23711067,0.23956437,0.23681052,0.22972435,0.21854754,0.20403852,0.19107635,0.18532242,0.19071388,0.20438676,0.22079246,0.23407954,0.24259402,0.24661057,0.24902959,0.25331935,0.26308486,0.27814755,0.2939805,0.30346408,0.30206326,0.29053244,0.27439508,0.2600999,0.25216466,0.25186205,0.258143,0.26784083,0.27690157,0.28096732,0.27821934,0.26928958,0.25731522,0.24434477,0.23143177,0.2190343,0.20930786,0.20451333,0.20425089,0.20588182,0.20799433,0.21410722,0.22877026,0.25268307,0.27897337,0.297567,0.30021086,0.2868396,0.26487502,0.24539532,0.23362,0.22733808,0.22073944,0.21316032,0.20911153,0.21272276,0.2229154,0.23427719,0.24183132,0.24296887,0.23841107,0.23138708,0.22471045,0.21857168,0.20931382,0.19597869,0.18185629,0.17488442,0.17901288,0.19236858,0.20706107,0.21672012,0.2196912,0.2195123,0.21971296,0.22092108,0.22126125,0.21934085,0.21541281,0.21040271,0.20503964,0.20048086,0.19902092,0.2035066,0.21507497,0.23275608,0.2560108,0.28901884,0.33940676,0.40926337,0.48488918,0.5404379,0.554998,0.5317486,0.49392092,0.46788332,0.46201292,0.46961454,0.47767362,0.48043326,0.47807357,0.4748765,0.47462478,0.48023394,0.49226055,0.50785303,0.5217286,0.5289164,0.5277578,0.51950103,0.50752443,0.49563578,0.4888358,0.49121657,0.5059204,0.52912974,0.5513435,0.55787975,0.5436658,0.5148292,0.4875706,0.47054842,0.4629649,0.4566824,0.44751573,0.43551084,0.42313245,0.41196057,0.403183,0.39807853,0.39700928,0.3991408,0.40247345,0.40540895,0.40636122,0.40441844,0.39947018,0.39341035,0.3886112,0.3867779,0.38757178,0.39033255,0.39420006,0.3993369,0.40529338,0.41153768,0.41589168,0.41701075,0.4165685,0.42248785,0.44423488,0.4828734,0.5225648,0.5373489,0.51081353,0.4521724,0.3902744,0.3517237,0.34287307,0.35247374,0.3650353,0.37171575,0.36944067,0.35884306,0.34381807,0.33449316,0.34204435,0.37119576,0.41366884,0.45397282,0.478622,0.48338982,0.47208834,0.45222667,0.43239608,0.42145455,0.4268647,0.44791588,0.47252223,0.482458,0.46981612,0.44346344,0.42093137,0.40921333,0.4008619,0.38450256,0.35932946,0.33485422,0.32098076,0.31903374,0.3228996,0.3250564,0.3219082,0.3140844,0.30502185,0.29901922,0.30013558,0.31042802,0.32844272,0.34967944,0.36917296,0.384577,0.3959827,0.40426007,0.40881285,0.40833005,0.40125942,0.38761556,0.36898687,0.35030308,0.33890614,0.34435722,0.37309644,0.4238199,0.4818987,0.52618575,0.5389898,0.5199043,0.4812876,0.44140884,0.4108223,0.39383623,0.3889215,0.39347067,0.40376663,0.41611847,0.42892066,0.44258645,0.45903608,0.4780806,0.49628988,0.5073187,0.5062698,0.49244007,0.47074685,0.4484808,0.43496254,0.43932533,0.4676802,0.51336664,0.5561134,0.57164884,0.55353546,0.51616096,0.4837426,0.46626195,0.45942175,0.45226553,0.4421458,0.4308164,0.42081094,0.41060933,0.3995411,0.38889393,0.38168085,0.37864795,0.3780403,0.3779373,0.3784268,0.38212633,0.39025757,0.40233102,0.414654,0.4245595,0.4293959,0.42864585,0.4214201,0.40926418,0.3949698,0.38308933,0.3754063,0.37132645,0.3703656,0.37744704,0.39994296,0.43797338,0.47822657,0.5009244,0.4961988,0.4703296,0.4385772,0.41129252,0.39056742,0.37435046,0.36179438,0.35335806,0.34900966,0.34873295,0.3530585,0.36368978,0.38105217,0.40336326,0.4263803,0.4454938,0.4580156,0.46405986,0.46567306,0.4658973,0.46895406,0.4814392,0.5067744,0.53917694,0.56177306,0.559964,0.53449225,0.5012519,0.4752045,0.45615304,0.43273175,0.39575016,0.34910008,0.30465838,0.27328318,0.25642118,0.24888657,0.24339502,0.23607051,0.22524382,0.21038972,0.19082826,0.16782992,0.14484091,0.1265539,0.11574157,0.11223733,0.11339343,0.11660806,0.12007622,0.123229705,0.12673937,0.13437767,0.1518669,0.18351586,0.22804956,0.2808683,0.3387796,0.39927253,0.4551426,0.49081257,0.49402213,0.46634853,0.42647454,0.39456788,0.38116965,0.38541508,0.4045659,0.43684205,0.4754342,0.5043554,0.50578415,0.47626963,0.4303187,0.39021817,0.36846006,0.36578783,0.37788787,0.4039702,0.44082153,0.47698012,0.49347845,0.47971806,0.4433789,0.40633166,0.38681903,0.38836667,0.40391755,0.42699268,0.45608222,0.4874375,0.5103975,0.5116844,0.48851848,0.45093533,0.41489697,0.3892586,0.37581667,0.3742002,0.38717708,0.41367808,0.44405103,0.46197912,0.45906827,0.4407234,0.4212511,0.40975118,0.40724984,0.41236675,0.42798838,0.45549336,0.4876368,0.5071456,0.500436,0.4673562,0.42246315,0.3824439,0.35843936,0.3547295,0.3740586,0.41419116,0.4645797,0.5048717,0.5199459,0.5091336,0.48741308,0.46952334,0.4613301,0.46081474,0.46750554,0.48379263,0.5077284,0.5273926,0.5267406,0.50006133,0.45721292,0.416625,0.39049986,0.38286492,0.39306533,0.42170283,0.46188912,0.4974874,0.5068346,0.48365295,0.44022322,0.40021923,0.37708405,0.37186405,0.37968707,0.40120915,0.43690875,0.47936893,0.5092242,0.5102381,0.4798408,0.4330213,0.38716605,0.3549449,0.34201732,0.35461745,0.3949091,0.4529976,0.50342435,0.5201835,0.49711093,0.4521182,0.41240105,0.3937674,0.39774004,0.41896614,0.45247915,0.4893247,0.5135948,0.50916547,0.4734236,0.4215815,0.37602088,0.35121047,0.34914503,0.36596024,0.39775467,0.43804392,0.47359386,0.4885222,0.47564355,0.4428437,0.40635967,0.3793855,0.36579874,0.36570367,0.38032797,0.4104917,0.4480392,0.47524628,0.47637883,0.4525762,0.4202018,0.39691377,0.3875135,0.38942996,0.4008763,0.42365238,0.452193,0.4726911,0.47207007,0.4529384,0.42759776,0.40647554,0.3870555,0.3679221,0.3573382,0.3713441,0.41070437,0.45343253,0.4691079,0.44735947,0.4044505,0.3657806,0.34357557,0.33691326,0.34554276,0.3759849,0.4294975,0.490554,0.53292805,0.53947777,0.51406175,0.4739288,0.43528864,0.40598258,0.3918542,0.39876413,0.4276378,0.46427917,0.48552212,0.47507206,0.44011664,0.4017664,0.37887964,0.370723,0.36749038,0.35854062,0.34243596,0.31944066,0.2909508,0.25845072,0.22752558,0.20623167,0.20268776,0.22000642,0.254101,0.2921692,0.31872034,0.32267606,0.30471602,0.2765711,0.2550783,0.2531486,0.2725723,0.30299994,0.32887122,0.33980727,0.33662283,0.32663134,0.3157632,0.30298868,0.2846546,0.25762317,0.22384335,0.1870266,0.15579925,0.1395893,0.1475351,0.17777051,0.21689546,0.24483971,0.2489263,0.23046179,0.20059012,0.17068894,0.14639105,0.1306596,0.12691101,0.13836855,0.16198528,0.1867826,0.19911994,0.19265886,0.1718908,0.14792694,0.12994336,0.122678936,0.1282442,0.14826538,0.18091665,0.21733408,0.2433176,0.24656391,0.22418618,0.18356235,0.13787898,0.0997139,0.07765994,0.07521173,0.091108985,0.11922449,0.14943212,0.17056622,0.17555599,0.16506678,0.14637387,0.12806445,0.11502013,0.10724002,0.102075815,0.0970766,0.09154153,0.08635072,0.082816176,0.08141268,0.081216626,0.0806398,0.07928255,0.079593964,0.08704647,0.10656977,0.13884598,0.17771174,0.21331483,0.23572539,0.23899977,0.22270817,0.1936353,0.16476159,0.15029144,0.1577506,0.18372081,0.21624689,0.24314637,0.25800118,0.2615428,0.25689697,0.24624185,0.23069638,0.21458381,0.20576477,0.21084438,0.22757192,0.24503942,0.2505695,0.23872483,0.21240991,0.17993574,0.14944544,0.12706982,0.11392027,0.108139284,0.10736022,0.11450615,0.13453169,0.1688515,0.20864046,0.23959084,0.2501664,0.23957604,0.21625902,0.19191818,0.17466663,0.16746378,0.1705634,0.18375684,0.20618592,0.23361738,0.25980735,0.27927327,0.29121724,0.29796806,0.30270505,0.30703342,0.31180868,0.317133,0.32222185,0.3245692,0.32189384,0.31393746,0.3033358,0.2928494,0.2826359,0.269539,0.24985409,0.22258545,0.19074859,0.16026686,0.1385357,0.13372023,0.1518567,0.19198604,0.24130476,0.28031656,0.29405054,0.28351822,0.2614415,0.24036743,0.22186182,0.20211929,0.18116033,0.16637264,0.16371404,0.17079693,0.17904657,0.18132895,0.17561083,0.16253297,0.14329506,0.121280484,0.10305334,0.09574261,0.10067827,0.11227363,0.122858964,0.13012208,0.13708358,0.14521046,0.14987868,0.14507677,0.13307263,0.12512691,0.13280258,0.15729819,0.19023025,0.22039962,0.2411552,0.25004524,0.24782906,0.23638768,0.21876405,0.19740601,0.1744992,0.15242103,0.13418454,0.12177915,0.11494919,0.11182964,0.11059797,0.1104027,0.110856526,0.11155862,0.11191564,0.111556284,0.11025646,0.10793901,0.10437588,0.099479735,0.09340157,0.0866309,0.07969746,0.07298376,0.06672973,0.061107192,0.056233387,0.052141666,0.048762392,0.046006706,0.043723393,0.04179117,0.040141832,0.03884269,0.038052548,0.03792497,0.0385783,0.039997656,0.042075302,0.04461142,0.04751402,0.05087915,0.05498832,0.060102742,0.06606055,0.07244418,0.079906195,0.09247572,0.11746148,0.16024041,0.21771483,0.2783166,0.33242127,0.3817728,0.4352814,0.4934155,0.53980166,0.55349785,0.5282737,0.47893092,0.4276385,0.3888611,0.36592314,0.35827494,0.36590126,0.3881972,0.42066383,0.4574075,0.494301,0.53038675,0.5611606,0.57671857,0.5660094,0.53044313,0.48635855,0.4561683,0.45151892,0.4677163,0.4900538,0.505527,0.50907916,0.5025511,0.48923242,0.47000018,0.44334677,0.40933457,0.3718935,0.3364521,0.30639938,0.28147495,0.26074865,0.24342453,0.22940385,0.21914981,0.21555895,0.22229497,0.23999564,0.26306525,0.28347263,0.29524934,0.2978452,0.29298922,0.2834644,0.2715573,0.26019692,0.25083283,0.24193467,0.22943413,0.21084273,0.1897878,0.17376964,0.16884464,0.17643537,0.19834526,0.24204856,0.31199554,0.39836788,0.4712464,0.50330323,0.48765948,0.44485605,0.40070534,0.370597,0.35420898,0.3462681,0.34304896,0.3443723,0.35149202,0.36772954,0.3977301,0.44217834,0.4915556,0.5268942,0.5325747,0.50804687,0.46748456,0.42773604,0.3970108,0.37531576,0.35909185,0.346868,0.33752587,0.33015522,0.32288498,0.3165507,0.31456187,0.32155862,0.33782306,0.3579624,0.37302768,0.37599325,0.3647271,0.34241256,0.31566676,0.29214063,0.27589884,0.2650152,0.2519361,0.2319992,0.20882803,0.19557035,0.20294261,0.23094201,0.2657751,0.29235324,0.30336794,0.3028303,0.29700124,0.28860095,0.2761313,0.2604165,0.2467727,0.24354942,0.25712082,0.29218468,0.34979442,0.42324647,0.49280015,0.53328824,0.5316341,0.4977442,0.45613015,0.4268149,0.41500068,0.41533908,0.42034578,0.42470968,0.4253923,0.4238355,0.42755175,0.44709662,0.48456267,0.527046,0.55076504,0.5409493,0.50168383,0.45319518,0.41287604,0.38800418,0.3758291,0.37301776,0.3756424,0.3811928,0.3878657,0.40007162,0.42528257,0.46627077,0.5121529,0.5407339,0.534386,0.49204612,0.42991135,0.3677945,0.3195604,0.2901827,0.2779126,0.27630448,0.27692917,0.27516422,0.27205703,0.2712798,0.2718955,0.267633,0.25322062,0.23171653,0.21466547,0.2117343,0.2238958,0.24248715,0.26009715,0.27372453,0.2847921,0.29222462,0.29461303,0.29229903,0.28948388,0.28932086,0.291201,0.29109642,0.28577426,0.27519712,0.2616894,0.24740131,0.23258914,0.21800691,0.20868851,0.21386886,0.24089654,0.28577933,0.33401382,0.36779597,0.37959993,0.37244377,0.35601422,0.33605838,0.31492826,0.2931244,0.27332804,0.25691321,0.24295092,0.22924899,0.21780722,0.21364956,0.22186321,0.24108548,0.26531896,0.2850275,0.2934765,0.2880848,0.27288207,0.25502148,0.24100812,0.23212402,0.22483474,0.21544944,0.2066981,0.20818514,0.22975497,0.27154943,0.3232876,0.37001678,0.4013516,0.411255,0.39876416,0.36719164,0.329348,0.30141076,0.29521868,0.30801383,0.3280755,0.34415278,0.35446203,0.3637029,0.3758578,0.39201212,0.41339186,0.44459555,0.4859217,0.5272978,0.5497739,0.5425124,0.51064473,0.4725969,0.4420404,0.42306277,0.41110435,0.40346587,0.3991232,0.3985933,0.40246418,0.4144807,0.4399679,0.47814456,0.51764655,0.5413403,0.54112715,0.52245665,0.49907175,0.4806757,0.4726653,0.47866926,0.5022013,0.53743905,0.56890017,0.5780794,0.56114346,0.52762806,0.4929591,0.46237734,0.43524647,0.40956208,0.38863078,0.3745886,0.36668888,0.36158416,0.3587555,0.3603237,0.36849177,0.38189176,0.39615402,0.40664732,0.41138923,0.41166615,0.41035858,0.4098929,0.41072226,0.4123244,0.41443285,0.41791403,0.42294934,0.4272252,0.42670408,0.4184964,0.40524495,0.39528927,0.40109766,0.43161917,0.4844285,0.54257154,0.58284456,0.59254545,0.5767262,0.5526989,0.5338609,0.5228595,0.5149315,0.50618047,0.49763468,0.49192885,0.4922044,0.50064987,0.5200694,0.54729134,0.5721564,0.57997084,0.5660779,0.53893775,0.5157867,0.50706404,0.51332325,0.5282366,0.5475014,0.565537,0.5745612,0.56416845,0.5365034,0.5045171,0.4859414,0.4830725,0.4879893,0.49002182,0.48831108,0.48458874,0.47983944,0.47227028,0.46436152,0.46037057,0.4625419,0.4651579,0.46090707,0.44699726,0.42881832,0.41290465,0.40139088,0.39187288,0.38312623,0.37786794,0.38035282,0.39215317,0.41101208,0.43250823,0.4512049,0.4615519,0.4598014,0.4496229,0.44340155,0.4567306,0.49343634,0.53974694,0.57085663,0.5724275,0.54890996,0.51810336,0.49196064,0.47197986,0.4544829,0.44235554,0.44239095,0.458776,0.48645565,0.51737195,0.54548377,0.56764317,0.57933694,0.5747401,0.5544277,0.5267836,0.50416166,0.49261716,0.49300525,0.50502217,0.5309059,0.56716746,0.60140485,0.61516696,0.60196453,0.5689008,0.5330059,0.50190765,0.4762553,0.4518001,0.43144932,0.4191545,0.41816762,0.42475152,0.43370596,0.4404368,0.44472232,0.44773683,0.4503517,0.4528577,0.4570243,0.46616843,0.48039615,0.49467102,0.50207824,0.5022701,0.50133854,0.5042296,0.5077138,0.50467235,0.49410686,0.48226014,0.47574472,0.4756914,0.4826118,0.50119686,0.5343494,0.57435817,0.60262364,0.6061446,0.58676845,0.5584779,0.5314469,0.5076398,0.48488545,0.4653127,0.45320857,0.45111808,0.45789632,0.4736215,0.49988154,0.5336638,0.56330603,0.5718712,0.5525643,0.5116161,0.46643838,0.4305824,0.41324127,0.41779998,0.44535336,0.48680732,0.52501154,0.54147035,0.53502125,0.5174728,0.50384307,0.49125445,0.4679387,0.4233056,0.363711,0.30369875,0.25717464,0.22720487,0.21035075,0.20154057,0.19897659,0.20152676,0.20858108,0.22059895,0.24052556,0.26805517,0.29626253,0.31414464,0.3195238,0.32089126,0.3308533,0.34947738,0.3658707,0.36763012,0.35537577,0.3401656,0.33491245,0.34735954,0.3822619,0.44013906,0.51131135,0.57182044,0.5969433,0.5781923,0.529916,0.4750115,0.43051144,0.40254006,0.3928617,0.401446,0.42627272,0.46014437,0.49508372,0.52596754,0.5522662,0.57179147,0.5779595,0.5644334,0.53475755,0.5021127,0.47992542,0.47174832,0.47537005,0.4896849,0.5155659,0.5458865,0.5644176,0.55801994,0.53311116,0.51081043,0.51014227,0.52921104,0.5536913,0.56726885,0.565973,0.55180985,0.53093106,0.5077738,0.4868867,0.4712895,0.46200836,0.4574022,0.45383164,0.44713828,0.43514135,0.41849804,0.40191114,0.39094147,0.39110756,0.402419,0.4197389,0.4328617,0.43561754,0.42946815,0.42258036,0.42017928,0.42154136,0.425156,0.43676642,0.46498966,0.50968033,0.5550216,0.5814585,0.5812242,0.5637674,0.5438311,0.5289073,0.5166474,0.50258046,0.48592174,0.4700507,0.45793676,0.45294377,0.4593024,0.48086795,0.51209277,0.5370731,0.53929967,0.51772827,0.48684666,0.46449065,0.45875633,0.46958455,0.4949521,0.5298321,0.5626618,0.5769232,0.5658174,0.5382178,0.5116426,0.49661854,0.4906243,0.4871188,0.48175374,0.4750998,0.4664847,0.45610812,0.4460207,0.44144645,0.4456534,0.45680365,0.46861073,0.47578147,0.47746027,0.47706744,0.47810617,0.48238227,0.48950088,0.4982381,0.50564533,0.50806206,0.50267607,0.49063274,0.47590053,0.46234763,0.45035002,0.4396032,0.43355966,0.44202814,0.4715334,0.51640624,0.55513793,0.56764215,0.54810953,0.5108055,0.47399393,0.44996098,0.43992725,0.4415066,0.45068708,0.4626232,0.47210065,0.4782617,0.48824438,0.5099178,0.542501,0.57093984,0.57831395,0.5585551,0.5224224,0.4873545,0.46772835,0.46974492,0.4936109,0.5310745,0.56696916,0.58305,0.57349604,0.54816616,0.52688265,0.52121806,0.5285449,0.5361112,0.5320167,0.51167053,0.47832322,0.44143197,0.41197798,0.3980516,0.39944574,0.40785035,0.41203713,0.40615633,0.39325333,0.38079968,0.3744243,0.3743336,0.37810624,0.3828245,0.38663796,0.38860974,0.3892965,0.39106444,0.3967606,0.40809467,0.42457163,0.44526705,0.47086832,0.50325173,0.53976625,0.5702707,0.58064526,0.5651998,0.5313134,0.4941481,0.46402106,0.4423554,0.42706814,0.4180392,0.41783383,0.4269415,0.44435754,0.46883368,0.5006725,0.53608435,0.5654966,0.5764726,0.5652122,0.5391626,0.51190513,0.49223992,0.4832643,0.48603773,0.50223947,0.52714896,0.54898024,0.5534976,0.5402176,0.51885676,0.50312907,0.4943931,0.4910637,0.49275312,0.50745106,0.5354158,0.56747675,0.5859244,0.5851462,0.5711549,0.55918795,0.55502635,0.55925894,0.5674762,0.58076507,0.5947685,0.60215855,0.5913473,0.5647246,0.5348158,0.5201084,0.5249537,0.543257,0.5631969,0.5805309,0.59261113,0.59529716,0.58183855,0.55640197,0.53613144,0.53972775,0.56817573,0.60294014,0.6239555,0.6254842,0.61686605,0.6077224,0.6009469,0.59522384,0.59211785,0.5935996,0.5958681,0.58824587,0.5643243,0.5287947,0.49532852,0.4737073,0.46715036,0.4753333,0.49959126,0.53634,0.5737049,0.5949017,0.5945067,0.58238965,0.57696563,0.5868563,0.6072295,0.6257828,0.6342409,0.6306956,0.6159868,0.5902393,0.553209,0.5071695,0.4587686,0.41707596,0.39040783,0.38262296,0.39373577,0.4209083,0.45877638,0.4974761,0.5237999,0.52775925,0.5104423,0.48432183,0.46453223,0.4587202,0.46394822,0.47198057,0.47451934,0.46788803,0.45280835,0.4357754,0.42431274,0.424655,0.43828836,0.46494555,0.5013107,0.5391638,0.56481415,0.56644666,0.5440292,0.5083992,0.473729,0.44808647,0.4363751,0.4439254,0.47459993,0.5233286,0.57276756,0.6046033,0.6100142,0.5950244,0.57117367,0.54949206,0.5368766,0.5387135,0.55477333,0.5776271,0.59211993,0.58767676,0.56463385,0.5366079,0.5174528,0.5138517,0.52177525,0.5338331,0.5428454,0.5445027,0.5364341,0.5201058,0.50030917,0.48291495,0.47119555,0.46402478,0.45839155,0.45162937,0.44501138,0.44210044,0.4471258,0.4602388,0.47717893,0.49013698,0.49231982,0.48116502,0.46057796,0.43829966,0.42145714,0.41183034,0.40706345,0.4046838,0.40659058,0.4167129,0.4363706,0.46140185,0.48635232,0.5100768,0.533999,0.5565939,0.56854945,0.56203026,0.5375084,0.5067323,0.48087883,0.46559373,0.46141052,0.47117558,0.49763194,0.53750366,0.5775514,0.6030269,0.6055453,0.58639854,0.55064154,0.50720567,0.46889618,0.45249745,0.4645526,0.4954146,0.5200745,0.52114636,0.497396,0.46508816,0.43892166,0.42680755,0.42757893,0.4387145,0.45631,0.4774138,0.49940047,0.5218491,0.54284555,0.55904675,0.56512773,0.5594034,0.5433247,0.5213328,0.4959202,0.4682082,0.43887398,0.41198444,0.39458427,0.39396894,0.41080666,0.43783903,0.46218637,0.47563997,0.4771068,0.47219285,0.46434698,0.45349416,0.43688187,0.4149946,0.39246193,0.3779601,0.38026857,0.40620705,0.45273778,0.5069873,0.54852396,0.56657153,0.563941,0.5553369,0.55085635,0.5531135,0.55978245,0.57094866,0.58645564,0.60162586,0.60783106,0.60019946,0.5822907,0.5630582,0.5491123,0.5433542,0.546851,0.56199604,0.58618253,0.6106259,0.62161475,0.6132316,0.5897236,0.5633285,0.5436633,0.53484607,0.53576565,0.5423983,0.5490225,0.54967093,0.5432239,0.53470355,0.5338318,0.543927,0.55932146,0.56606627,0.5579731,0.5370886,0.513359,0.4903326,0.47125128,0.4604068,0.46780956,0.49391866,0.5262093,0.5434386,0.5376065,0.5164059,0.49701986,0.4857684,0.4825662,0.48496988,0.49827442,0.52100295,0.54312605,0.54949456,0.54211044,0.5386953,0.55691034,0.59130174,0.6175826,0.6147396,0.58204013,0.53649443,0.4961176,0.47201684,0.46799818,0.48411617,0.5142295,0.54470485,0.56048423,0.5557863,0.5386887,0.5230634,0.5173969,0.5212701,0.53201336,0.54867274,0.5680423,0.57959294,0.57051986,0.53894097,0.4976567,0.4645573,0.4489498,0.44842365,0.45702907,0.46879342,0.48112956,0.4889973,0.49010077,0.48111394,0.4632345,0.43818367,0.41200173,0.39106762,0.38109168,0.38371325,0.39683697,0.41649857,0.4387367,0.46103743,0.48178437,0.49958968,0.5117583,0.51461005,0.50573295,0.48732564,0.46679202,0.45206425,0.44604293,0.44493923,0.44364306,0.44106624,0.44193032,0.45281124,0.47805318,0.5143787,0.54915196,0.564473,0.54953504,0.5108704,0.46761897,0.43755546,0.42559302,0.42911693,0.44625726,0.47505352,0.5056541,0.5185483,0.5017305,0.46201786,0.42204344,0.39832357,0.39247492,0.39856485,0.4174677,0.45360526,0.503345,0.54816324,0.56885165,0.5585444,0.52712435,0.48900986,0.45571986,0.43359303,0.4271166,0.4360951,0.45458016,0.4707824,0.4763485,0.46878564,0.45306,0.43378863,0.4148599,0.3993955,0.39305153,0.40092897,0.42172715,0.44635078,0.46279263,0.46610108,0.45920166,0.44914255,0.43971,0.43201986,0.42609105,0.422635,0.4215769,0.42171732,0.421438,0.42018497,0.4185039,0.41770336,0.4202006,0.42996714,0.45236096,0.48659387,0.52295965,0.54317266,0.5365094,0.5055662,0.4657555,0.43083298,0.4098352,0.40889204,0.4338411,0.48152137,0.5343709,0.56586784,0.5616165,0.5277266,0.4868654,0.45713803,0.4470854,0.4567095,0.48643407,0.5308457,0.57594895,0.6011128,0.5966405,0.5693918,0.5387597,0.51824147,0.51070076,0.5102381,0.5110695,0.50865626,0.49987137,0.48540294,0.47046944,0.46213102,0.4605137,0.4604219,0.45675656,0.45326284,0.4558042,0.4648987,0.47057474,0.46331415,0.44327256,0.42226896,0.4125986,0.4178342,0.43268254,0.45108736,0.47192657,0.49679878,0.5247449,0.5501893,0.56642646,0.56856066,0.55496484,0.5274699,0.4944297,0.47048458,0.47014335,0.49491134,0.5301409,0.5550234,0.56222266,0.5602989,0.5625723,0.56915516,0.57174414,0.5653592,0.5581167,0.5586795,0.5664318,0.5712709,0.5684511,0.56126356,0.55359584,0.5407817,0.517474,0.4899216,0.47389793,0.4781098,0.49218222,0.49812844,0.49009433,0.47837496,0.4756191,0.48146772,0.48917255,0.49646792,0.5097092,0.53246856,0.5580587,0.57589144,0.58151025,0.5810704,0.58169943,0.5853465,0.58767796,0.5874154,0.5870066,0.59130526,0.59855807,0.60396194,0.6033742,0.59909993,0.5958918,0.5940206,0.5893077,0.57873106,0.5682099,0.56896734,0.5867792,0.61627096,0.6439162,0.6597883,0.66055423,0.6489472,0.62578124,0.58870685,0.53182715,0.45406458,0.36245322,0.27304578,0.20111008,0.15420258,0.12938794,0.11828347,0.11288371,0.1086388,0.104483336,0.1010732,0.099427216,0.10003463,0.10244831,0.10514379,0.10614269,0.103865765,0.09840021,0.09141442,0.08544605,0.08229053,0.08218109,0.084032446,0.086112864,0.08696505,0.08550479,0.08159184,0.07585409,0.06973035,0.064509496,0.060991943,0.059075143,0.058313224,0.0579891,0.05762528,0.056718066,0.055202123,0.05314349,0.051154718,0.04982147,0.049784746,0.051037837,0.05306383,0.054713663,0.05503051,0.05396146,0.053462163,0.05745092,0.070540436,0.09486588,0.12801881,0.16311292,0.19245358,0.21028276,0.21402825,0.20519876,0.19145548,0.19003491,0.219216,0.2882151,0.38209558,0.47246408,0.5296559,0.5446514,0.5238455,0.482964,0.43194464,0.3762891,0.31830534,0.26218352,0.21266748,0.17449373,0.15096384,0.14390606,0.15189923,0.16986102,0.19009571,0.20604283,0.21371202,0.2109843,0.1966769,0.17268126,0.14618544,0.12772699,0.124650575,0.13790041,0.16254191,0.19423182,0.22779715,0.25795677,0.27542612,0.27524266,0.25813118,0.23293863,0.20744556,0.18568732,0.16686009,0.14990593,0.1348822,0.1218419,0.11019678,0.0994608,0.09209114,0.09190913,0.10098938,0.11594842,0.13031107,0.13875668,0.14082712,0.1397078,0.13938387,0.1422614,0.14912261,0.15984835,0.17389351,0.1915344,0.21571304,0.2539048,0.3126508,0.39038035,0.47113618,0.5335482,0.56167954,0.55441755,0.52051437,0.47198665,0.41821334,0.36546317,0.31788957,0.2791148,0.2538912,0.24889605,0.27086875,0.32175624,0.39338252,0.46686506,0.5204191,0.53917104,0.52214205,0.48014602,0.43162176,0.3956784,0.3864657,0.40667263,0.44684294,0.4897344,0.51959294,0.5269091,0.5106524,0.47462273,0.42660508,0.37370738,0.3213999,0.27096048,0.22284411,0.17860804,0.1420524,0.11669582,0.102356285,0.09547744,0.09125949,0.089014955,0.09193202,0.10434666,0.1259792,0.15146105,0.1737284,0.18815936,0.19362509,0.19050853,0.1803235,0.16591996,0.15193816,0.14168672,0.13734329,0.1417759,0.16494192,0.2175287,0.30276492,0.40324616,0.4912536,0.5408673,0.54592973,0.51491886,0.46460828,0.40814364,0.3545545,0.30752197,0.26726884,0.23122567,0.19664182,0.16308285,0.13267566,0.109622784,0.09760726,0.09969407,0.11669711,0.14698213,0.18389402,0.21676965,0.23501115,0.23468475,0.22026044,0.20074905,0.18436976,0.17771405,0.18592007,0.20985723,0.24192376,0.26766953,0.27598354,0.2659461,0.24591343,0.22352117,0.20105678,0.17696244,0.15152065,0.12856473,0.11189275,0.1022349,0.09667885,0.09281965,0.08955491,0.08733317,0.08563187,0.0857732,0.09030745,0.102364294,0.11926887,0.13366693,0.13731784,0.12912221,0.11393956,0.100365035,0.09648148,0.11420605,0.16416134,0.250522,0.35772714,0.45877895,0.52519727,0.54624224,0.52683276,0.48322526,0.43008938,0.37741265,0.328933,0.28454313,0.24449497,0.21277809,0.20186923,0.22472322,0.28734604,0.37538755,0.46339074,0.5237189,0.5453301,0.5304747,0.49337837,0.4498191,0.41785595,0.41118738,0.43466267,0.4780067,0.5211617,0.5454714,0.5425646,0.51600903,0.4733998,0.42327586,0.36971697,0.3160917,0.26363197,0.21599817,0.17705251,0.15113948,0.1408636,0.1470793,0.16846682,0.19955736,0.23191802,0.25596467,0.26645383,0.26338136,0.25205794,0.23879153,0.22852589,0.22244667,0.21916902,0.21633993,0.21292709,0.20978202,0.20915252,0.21467151,0.23125899,0.2656584,0.32099843,0.39250126,0.4637893,0.5164888,0.5385098,0.5308699,0.5010377,0.45727184,0.40419832,0.34546724,0.28586522,0.23215699,0.19007993,0.16144536,0.14328016,0.1310929,0.12214044,0.1162385,0.11359474,0.11283953,0.111204736,0.10631695,0.09782734,0.087531626,0.07790982,0.07057045,0.06640465,0.066979095,0.07567167,0.09400999,0.11827514,0.1381978,0.14471991,0.13595699,0.1188536,0.10190746,0.08984876,0.08242666,0.07757056,0.07351181,0.06939748,0.06501333,0.060813118,0.057418555,0.055174362,0.053705703,0.052344847,0.05062875,0.0486598,0.046831027,0.045439366,0.044385742,0.043448877,0.04249558,0.041719392,0.04132246,0.04379973,0.0563862,0.09332887,0.16624682,0.2730936,0.38967407,0.48344764,0.5312082,0.5313942,0.49737492,0.44497,0.38571766,0.32532898,0.26757705,0.214885,0.17315058,0.1524305,0.16742046,0.2258985,0.3204588,0.42334566,0.5032992,0.54024893,0.53619045,0.5048892,0.46355614,0.4263663,0.40670046,0.41200015,0.44082022,0.4784217,0.5082288,0.5168782,0.5031079,0.47024754,0.42647305,0.37841868,0.33323273,0.29467657,0.2645426,0.24150467,0.2236618,0.20840798,0.19401772,0.17958416,0.16675775,0.15929681,0.16108508,0.17258596,0.18959145,0.20637232,0.2184946,0.22455733,0.22387409,0.2170502,0.20596616,0.19522117,0.18959726,0.19163841,0.20090894,0.21658184,0.24258876,0.2851595,0.34788,0.4214002,0.48756418,0.5261802,0.528652,0.49803504,0.44663367,0.38712868,0.32932177,0.2779085,0.23465066,0.20007338,0.17488606,0.15907837,0.1512277,0.1483646,0.14718746,0.14503859,0.14063464,0.13406752,0.12659658,0.120110564,0.11659402,0.117384724,0.12249124,0.13017726,0.13770163,0.14264628,0.14408551,0.1423189,0.13816755,0.13275154,0.12793083,0.12616982,0.12922566,0.1370495,0.14794795,0.16006005,0.17234562,0.1845622,0.19642723,0.20743765,0.21699159,0.22506262,0.23185211,0.23781638,0.24297827,0.24745758,0.2512089,0.25450233,0.25732896,0.25973496,0.26158524,0.26304835,0.26443103,0.266441,0.2700477,0.27599335,0.28390938,0.29192975,0.2978525,0.30101705,0.30306613,0.30675122,0.31331843,0.32165277,0.32914367,0.33423272,0.33716598,0.33925048,0.34121513,0.3429968,0.34456766,0.34689227,0.35135886,0.3589275,0.36861396,0.37808493,0.38434938,0.38625285,0.3849384,0.3836298,0.3853029,0.39080203,0.39815828,0.40368083,0.40504208,0.40273762,0.40000686,0.39928058,0.4011577,0.4042194,0.4077529,0.41110444,0.4137685,0.4145236,0.41354844,0.41212955,0.41196594,0.41292465,0.41400996,0.41438535,0.41467264,0.41602778,0.41922382,0.42452374,0.4312226,0.4385427,0.4445612,0.4479423,0.44802752,0.44555995,0.43938208,0.42315665,0.39061403,0.34533474,0.31070662,0.31412828,0.36509964,0.43776262,0.4923912,0.5050277,0.48683572,0.46774915,0.47247437,0.5041197,0.5495055,0.5890239,0.6097116,0.6085865,0.5952241,0.58400375,0.5868345,0.6040464,0.6255905,0.6394847,0.6408871,0.63164407,0.61382306,0.58632183,0.5510126,0.51479286,0.48756886,0.4728582,0.4693177,0.47349247,0.484036,0.49711743,0.503622,0.49323058,0.46238708,0.419171,0.37606668,0.34160113,0.3164188,0.29939017,0.2926464,0.29984784,0.3201463,0.344898,0.36262038,0.36441383,0.34906712,0.32125685,0.2908179,0.26800168,0.26144397,0.27378142,0.30066812,0.33164218,0.35475218,0.36252558,0.3546604,0.33889726,0.32865858,0.34079865,0.3845856,0.45330617,0.521622,0.56536347,0.5765837,0.5686425,0.5575146,0.54996735,0.54168963,0.5278557,0.5093416,0.49234632,0.48556194,0.49600074,0.5251093,0.56199247,0.58667976,0.58114785,0.5467952,0.50246435,0.47073436,0.4592127,0.46180573,0.46799874,0.47215566,0.47221228,0.4678445,0.46122894,0.4590837,0.46850255,0.48977116,0.51346976,0.5277007,0.52732915,0.5154489,0.4959221,0.46848917,0.43245044,0.3946298,0.3685317,0.36520013,0.38293305,0.4087138,0.42765555,0.4323566,0.4221954,0.399683,0.36792895,0.33394912,0.3057151,0.28871846,0.28204238,0.2838671,0.29472956,0.3160443,0.34629437,0.38145205,0.42137256,0.4669808,0.5135011,0.54479766,0.54544955,0.5151243,0.4717088,0.43648875,0.41956654,0.41744184,0.42220202,0.42782733,0.43341765,0.4414189,0.45858553,0.4907306,0.5357128,0.57900333,0.6000928,0.5879442,0.5481449,0.49915043,0.45798695,0.43242845,0.4204183,0.41462067,0.4080694,0.3986454,0.39332116,0.40522742,0.44273567,0.49773845,0.54501414,0.55926603,0.5334047,0.4838293,0.4363301,0.40912616,0.40554968,0.41884705,0.43995014,0.46203205,0.48055565,0.49296507,0.4976724,0.49385515,0.47953725,0.4532771,0.41663644,0.37816846,0.34889328,0.33621398,0.3375269,0.34531796,0.35370862,0.36327115,0.37813726,0.40197805,0.436916,0.4806095,0.5244531,0.55319613,0.55496454,0.531153,0.49658045,0.46851695,0.45430648,0.4517621,0.4550035,0.4612721,0.46964422,0.48077074,0.49706784,0.5238258,0.5614647,0.5990092,0.61482364,0.5943902,0.5423829,0.48084775,0.4303048,0.3981094,0.379411,0.3671935,0.35789764,0.35317335,0.3583673,0.38174915,0.4265161,0.4844122,0.53329784,0.5514528,0.5321512,0.48900506,0.44312835,0.41016126,0.39718375,0.4086436,0.44546553,0.498154,0.54427963,0.5621051,0.5468039,0.51329887,0.48168853,0.46378124,0.46239558,0.47889844,0.5125673,0.5542882,0.58507913,0.58896524,0.5656407,0.5302189,0.50071955,0.48798934,0.49538684,0.52126026,0.55777746,0.59056705,0.60431045,0.59355944,0.5650883,0.5321664,0.504347,0.48521578,0.47550997,0.47636577,0.48944953,0.51315504,0.5432968,0.5740762,0.6018947,0.621615,0.6261651,0.6085284,0.57320744,0.536315,0.5181596,0.52681726,0.5561407,0.59139997,0.6197483,0.6336582,0.63129944,0.6175305,0.6025343,0.59400606,0.5887672,0.5727636,0.5365887,0.48464707,0.43308094,0.39346763,0.36819586,0.35564443,0.35791233,0.37818694,0.41222003,0.4486548,0.47562912,0.48968706,0.49365148,0.49214974,0.48800182,0.48381826,0.48155963,0.4795473,0.47241154,0.45632812,0.43550253,0.4176598,0.4070097,0.4007487,0.4001924,0.41463515,0.45347902,0.50952035,0.55917186,0.5806933,0.5713918,0.5462962,0.5218632,0.5053049,0.49589208,0.49165633,0.49132133,0.49423888,0.50148576,0.5190894,0.5523934,0.5989166,0.6436909,0.6706093,0.67277384,0.6557904,0.6282902,0.5951825,0.5584939,0.52116746,0.48816183,0.46249643,0.44556296,0.43953884,0.4505749,0.4824697,0.52932745,0.5729925,0.5950703,0.58746195,0.55692655,0.5157202,0.47582534,0.4435176,0.42030084,0.40118685,0.37950313,0.3533614,0.33208978,0.33120117,0.3608855,0.41588378,0.47855225,0.53043455,0.5619449,0.5732264,0.5678206,0.54998827,0.524855,0.49975336,0.48186862,0.4749488,0.48156074,0.50297314,0.5376653,0.5753848,0.60189027,0.6092487,0.60274625,0.59396166,0.5900906,0.58987767,0.5911026,0.5928976,0.59490705,0.5918676,0.58071333,0.56741977,0.5651639,0.5809515,0.6055475,0.6228268,0.6228726,0.6085944,0.58641773,0.56099695,0.53461856,0.5112967,0.49321118,0.4802002,0.47052303,0.4685732,0.48082724,0.508746,0.5395258,0.5542965,0.5418592,0.50868577,0.47137132,0.44443798,0.43392304,0.44174984,0.46738017,0.5046689,0.5391121,0.5543327,0.543477,0.51103556,0.4687216,0.4275866,0.4001837,0.398514,0.4286021,0.4825864,0.5411121,0.58625036,0.60957986,0.61227894,0.5980367,0.5738773,0.5516135,0.54545575,0.56045824,0.58780366,0.6106689,0.61791253,0.6086028,0.58791053,0.5622329,0.5380458,0.5250502,0.52920514,0.55101687,0.5802266,0.6068702,0.62289375,0.6278717,0.62325495,0.6132939,0.6022883,0.59467417,0.5904781,0.58610207,0.5749057,0.5550765,0.53143245,0.5154864,0.5181368,0.5420082,0.5812077,0.6220308,0.6520441,0.6612316,0.64848113,0.61933523,0.58532184,0.5555723,0.5353013,0.5242285,0.52452916,0.53635067,0.559304,0.5842615,0.60370237,0.6131668,0.61606306,0.61556965,0.6123368,0.60666174,0.6010601,0.59847814,0.59762746,0.5940632,0.58759874,0.58285403,0.5851521,0.5911083,0.59172505,0.57852226,0.54980946,0.5089669,0.46115503,0.4129676,0.3708396,0.3385904,0.31334695,0.28939787,0.26395354,0.24200219,0.23019142,0.22995895,0.23433606,0.23614569,0.2347688,0.23613638,0.24464361,0.2583864,0.27185526,0.28134426,0.28744864,0.29260162,0.29883382,0.30587456,0.3118093,0.31321213,0.30733633,0.2925975,0.27041623,0.2436821,0.21602918,0.18898456,0.16314492,0.1400889,0.12452435,0.121952005,0.13408637,0.15653676,0.18119542,0.20161998,0.21588163,0.22583573,0.23377782,0.24095596,0.24718197,0.25244117,0.25670695,0.26038897,0.262875,0.26298168,0.25844574,0.2472114,0.22765063,0.20032424,0.16840482,0.13793479,0.11563563,0.107529424,0.11636895,0.14076608,0.1734641,0.20461053,0.22544862,0.23364161,0.23260356,0.22903992,0.22872968,0.23390889,0.24300046,0.2511469,0.25461933,0.25260738,0.2484867,0.24578963,0.24620728,0.24847579,0.25017524,0.24889351,0.24325375,0.23382944,0.22337379,0.21587658,0.21312888,0.21275552,0.20781548,0.19323231,0.17028855,0.15000199,0.14435042,0.15921901,0.18760431,0.2163005,0.23229708,0.229854,0.21012492,0.18022215,0.15086508,0.13141851,0.12463441,0.12426142,0.122309,0.11640776,0.11142995,0.111849874,0.11627547,0.12006458,0.12175065,0.12567277,0.13605613,0.15161747,0.16383862,0.16423702,0.15005313,0.12785713,0.10812026,0.10108286,0.11111474,0.13681121,0.170756,0.20422506,0.2308345,0.24813819,0.25522578,0.25068513,0.23563689,0.21654491,0.20363368,0.20302264,0.2117966,0.22133644,0.22520189,0.22381066,0.22129701,0.22068052,0.2215717,0.22240324,0.22264701,0.22369146,0.22755308,0.23559166,0.24720927,0.25971296,0.2691534,0.27154112,0.26446354,0.24706411,0.22099109,0.18931568,0.15738815,0.13123684,0.11760628,0.120320536,0.13869798,0.16606826,0.1944176,0.21812944,0.2357961,0.24662478,0.24834974,0.23964451,0.22331737,0.20564555,0.19003637,0.17552559,0.16054134,0.14837812,0.14365387,0.14637254,0.15114063,0.15510531,0.16121906,0.17270021,0.18535705,0.1909919,0.18756135,0.18331467,0.18844382,0.20498864,0.2256165,0.2415903,0.248716,0.24738525,0.23833011,0.22248316,0.20305026,0.1883495,0.18785404,0.2067708,0.2403279,0.27622536,0.29950237,0.2999427,0.2755846,0.23379873,0.18784225,0.15021914,0.12733866,0.11768302,0.11590881,0.11797152,0.12531012,0.14470987,0.1823376,0.23721416,0.2967527,0.34253928,0.3584776,0.34043792,0.2972244,0.24550818,0.20022242,0.16828014,0.1500511,0.14360417,0.14837201,0.16436672,0.19076622,0.22498314,0.26070905,0.29032406,0.30756894,0.31632316,0.3280026,0.35513723,0.39560625,0.4340327,0.45251584,0.4480164,0.43175277,0.41938257,0.421266,0.44244817,0.48066166,0.52412385,0.55206144,0.5502118,0.5191849,0.47540116,0.43559682,0.41114643,0.40522003,0.41708627,0.4411733,0.4694061,0.49569333,0.52104586,0.5493427,0.578143,0.59439087,0.58619213,0.556221,0.52219975,0.5007412,0.49690685,0.50760317,0.5322135,0.56728286,0.60026985,0.60937285,0.5873813,0.54945403,0.52474976,0.52656025,0.54465646,0.5570435,0.5516254,0.53259706,0.5110243,0.4950939,0.48566338,0.48090175,0.4783723,0.47681436,0.47445562,0.46929953,0.46016356,0.44733164,0.43425632,0.4261227,0.43093753,0.45186028,0.4838759,0.5109332,0.5207145,0.51328224,0.50161463,0.49413002,0.48992667,0.48531458,0.48827052,0.51009506,0.55215687,0.5957729,0.6200902,0.61633307,0.59460527,0.56868744,0.5465179,0.5274685,0.5092451,0.49171793,0.47702202,0.4690398,0.47399926,0.49597836,0.52977055,0.55702657,0.55917794,0.53356224,0.49722984,0.47125772,0.46496662,0.47580072,0.50024915,0.53533524,0.5734522,0.59843874,0.5992662,0.57958347,0.55449414,0.5356483,0.5223229,0.51051253,0.49821493,0.48864034,0.48023105,0.46979046,0.455153,0.44248,0.4402298,0.45353103,0.47819114,0.5046754,0.522875,0.52798665,0.5212075,0.508727,0.4972818,0.49124733,0.49063027,0.4931941,0.4957986,0.49599984,0.49180865,0.48177144,0.46771336,0.45594475,0.45923936,0.48603192,0.53272367,0.5772317,0.59657735,0.58164454,0.54568434,0.50862205,0.48345292,0.47042266,0.4649636,0.46377075,0.4665604,0.4739934,0.48806286,0.5123499,0.5482413,0.58934575,0.6201399,0.62616557,0.60360235,0.562814,0.5199339,0.49014,0.48304808,0.5012397,0.53567934,0.568693,0.5822861,0.57458705,0.5575888,0.54926443,0.55404997,0.56518435,0.5685274,0.55594534,0.52645427,0.48762754,0.45134458,0.42890188,0.42534098,0.43616435,0.45084056,0.45940968,0.4593958,0.45531806,0.45354316,0.45576635,0.45903638,0.45908892,0.4549512,0.44857326,0.4438437,0.44422725,0.45197487,0.46585205,0.48066375,0.49179074,0.5006025,0.5159073,0.5422609,0.5723108,0.5875725,0.57625943,0.5413801,0.49871048,0.46161076,0.43624938,0.42199862,0.41751996,0.42001656,0.42696616,0.43748155,0.45614648,0.48834214,0.5318801,0.5727349,0.5929866,0.5865316,0.5631884,0.5406354,0.52897793,0.52818793,0.53369915,0.5421857,0.5504077,0.55238247,0.54484206,0.5325022,0.5265562,0.5330882,0.5465069,0.5561668,0.55708987,0.5538366,0.55206007,0.5522173,0.5495638,0.541521,0.53099877,0.524827,0.5285596,0.5440683,0.56931686,0.5966871,0.61472934,0.61209965,0.5902578,0.5621116,0.5453736,0.54469895,0.55441594,0.56525356,0.57635623,0.58762974,0.5953785,0.5914957,0.57842064,0.5693173,0.57965016,0.60873264,0.64270127,0.66567993,0.6739426,0.6728383,0.66932386,0.66559654,0.66209227,0.6587518,0.65476876,0.6447498,0.6231244,0.5898308,0.55362576,0.5256078,0.5125082,0.51544833,0.5337193,0.56343526,0.5955834,0.6157289,0.61587554,0.60005045,0.5835565,0.5804139,0.5963286,0.62794685,0.6663645,0.70080256,0.7200942,0.71597195,0.6860799,0.6361978,0.5791678,0.52918637,0.49612084,0.48298588,0.4883511,0.51007515,0.5437841,0.5811422,0.6079479,0.6126408,0.59255505,0.5582575,0.52464765,0.5032232,0.4959447,0.4982265,0.5021315,0.5012703,0.49354354,0.4822619,0.4731916,0.4710493,0.4797062,0.5028307,0.5415539,0.58716416,0.62195206,0.62880373,0.6054785,0.56435466,0.52238244,0.4898555,0.47257197,0.4774594,0.5098639,0.56467557,0.622464,0.6630111,0.67801684,0.67418975,0.6617842,0.64692515,0.6327557,0.6232882,0.62122136,0.6224622,0.6173293,0.60102504,0.5799992,0.5666685,0.56718034,0.5762606,0.58568734,0.5901703,0.5902524,0.58487123,0.5732855,0.5551765,0.53427655,0.5145945,0.49819803,0.48508498,0.47529885,0.4713116,0.47508588,0.48578307,0.49843612,0.5085055,0.5147002,0.51836354,0.52011335,0.51884395,0.5146055,0.50920767,0.504865,0.50119007,0.4978255,0.49652973,0.5014644,0.5131003,0.5276144,0.5401736,0.55308336,0.57167214,0.5972447,0.619366,0.625752,0.61242557,0.58887273,0.56755763,0.5551007,0.5527978,0.5620312,0.585536,0.6188101,0.6488581,0.6610178,0.6514053,0.6274634,0.60071975,0.57994324,0.5713401,0.57865304,0.59844035,0.6173163,0.6187176,0.5963244,0.55925137,0.5242003,0.5038397,0.5016026,0.5161647,0.54190046,0.57212865,0.59765506,0.6154198,0.62569636,0.63156325,0.6308694,0.61982197,0.5971131,0.56693286,0.5373284,0.5122722,0.49140874,0.47069344,0.4521309,0.44367397,0.45362592,0.48058262,0.51228887,0.535788,0.5456364,0.54557467,0.539699,0.52755976,0.50582176,0.47423252,0.44006738,0.4143342,0.40934077,0.43166968,0.48008355,0.5405855,0.59298426,0.6204129,0.62013894,0.60199255,0.58050364,0.5669288,0.567583,0.58305126,0.6069866,0.6261056,0.6277828,0.6092472,0.58046246,0.5560823,0.54602236,0.5527378,0.5744481,0.6056382,0.6358014,0.6513247,0.64518094,0.62214726,0.59540623,0.5749522,0.5641516,0.56251174,0.5722482,0.5934012,0.6206641,0.6418803,0.6512206,0.65269524,0.6556947,0.66106176,0.6605525,0.6494017,0.63259697,0.61983234,0.61033225,0.598182,0.5824917,0.5754604,0.5865784,0.61051303,0.6296515,0.63458425,0.63136196,0.6315834,0.63568956,0.6364809,0.63048583,0.62357897,0.61880136,0.6107901,0.59334046,0.5745848,0.5714886,0.5933583,0.62556416,0.64267015,0.62729996,0.5862091,0.5398837,0.5062873,0.48917124,0.48184398,0.47846368,0.47896788,0.48793617,0.50833917,0.5407017,0.58070594,0.6199181,0.6446037,0.6449058,0.61984867,0.58167154,0.5455578,0.52395695,0.52120113,0.5366855,0.5622987,0.58471256,0.5897185,0.57639164,0.55594033,0.54466146,0.544941,0.5491112,0.54444855,0.52791506,0.5018553,0.47398767,0.4504982,0.43838897,0.44076422,0.45708284,0.4805121,0.50416636,0.524935,0.5463241,0.57170874,0.59682006,0.6089175,0.5966324,0.5616241,0.5190204,0.48528233,0.46707538,0.46071956,0.4613419,0.4682947,0.48391947,0.51004475,0.5446119,0.57930404,0.59921694,0.5909118,0.5559123,0.51198596,0.48114327,0.47097155,0.47459722,0.4814917,0.4882082,0.49566016,0.50346226,0.51067275,0.5211145,0.5389364,0.56112057,0.5722485,0.56091005,0.52963763,0.49777874,0.4826614,0.4914204,0.5196488,0.5598164,0.6010273,0.6302178,0.6358394,0.6192095,0.59244186,0.57079023,0.5580983,0.5510328,0.54376334,0.53599805,0.5280395,0.5191548,0.50702065,0.49159393,0.47708786,0.4694475,0.4716619,0.4808214,0.49007523,0.49464527,0.49349988,0.48931324,0.48417473,0.4797953,0.47589436,0.4718654,0.46634224,0.46022213,0.4556416,0.45559633,0.46051994,0.47080687,0.48822555,0.51691896,0.5554104,0.59340787,0.613956,0.6082617,0.5797026,0.5414838,0.5036769,0.4727739,0.4536275,0.45191383,0.46797308,0.49392557,0.51897454,0.53996676,0.5602999,0.58246875,0.59748644,0.5953861,0.57306284,0.54216695,0.51565415,0.50379664,0.5102921,0.53805184,0.58148605,0.6255057,0.6480182,0.640374,0.61084205,0.57994014,0.5585897,0.5474238,0.54003173,0.5343562,0.5298044,0.52573687,0.52116585,0.51783997,0.5192929,0.52492356,0.52811545,0.5211115,0.50474983,0.48890257,0.4848064,0.4940549,0.5102815,0.52617383,0.5406034,0.554852,0.56743973,0.5729594,0.56600904,0.54520255,0.5128328,0.47628427,0.44812235,0.44438657,0.4728001,0.52525777,0.5789767,0.61490494,0.62762785,0.6259475,0.6186115,0.6095465,0.59980917,0.59188676,0.5896515,0.59249955,0.5969476,0.59752303,0.59146875,0.577026,0.5550624,0.5308333,0.51689184,0.52458954,0.554712,0.5901622,0.6111044,0.6086083,0.5924795,0.57751125,0.57187873,0.57498485,0.58327913,0.59442765,0.60505086,0.61118364,0.61138195,0.6078618,0.604009,0.6000921,0.5960059,0.5946098,0.6019049,0.619652,0.64243937,0.66009396,0.6690859,0.670692,0.6692738,0.66261834,0.65043306,0.637712,0.63554215,0.6511255,0.679511,0.70933837,0.72771144,0.72989696,0.7151163,0.6864116,0.64336586,0.5833709,0.50353754,0.40920946,0.31418094,0.23543619,0.18219717,0.15354909,0.14218448,0.14156695,0.14829682,0.1613506,0.18017787,0.20380127,0.22879033,0.24948461,0.25904265,0.25515082,0.2405377,0.22228384,0.20605434,0.1961029,0.19472505,0.20358099,0.22082348,0.24154837,0.25911784,0.2690289,0.26905206,0.25950792,0.24242781,0.22147977,0.20010842,0.18008196,0.16225849,0.1474991,0.13703525,0.1304311,0.1262462,0.12344041,0.123536386,0.12930854,0.14224593,0.16051263,0.17975236,0.1958837,0.20689619,0.21337062,0.21698971,0.22166447,0.23169695,0.2512299,0.27796337,0.3048236,0.3211209,0.32083416,0.30341855,0.2748353,0.24481182,0.22408183,0.21979582,0.22897469,0.24044536,0.24231501,0.23336272,0.2227056,0.22068067,0.22850172,0.23715949,0.236185,0.22138183,0.1976744,0.17422794,0.15999074,0.161165,0.17947553,0.21175282,0.2488321,0.28102943,0.30062428,0.30488026,0.29246762,0.26586485,0.23225354,0.20575315,0.19838889,0.21394454,0.24304481,0.27298006,0.2942176,0.30615285,0.31117678,0.3116136,0.30737302,0.29859984,0.28577983,0.26936698,0.24961442,0.22845922,0.20949686,0.19478129,0.18205498,0.16754617,0.15237872,0.14366116,0.14841427,0.16574667,0.18761127,0.20499067,0.21454835,0.21862127,0.22208345,0.22848828,0.23877847,0.2521243,0.26712266,0.28234807,0.2959287,0.3062124,0.3128419,0.31695154,0.31986836,0.32179716,0.32222298,0.3205601,0.31657287,0.30972326,0.29974625,0.287323,0.27528563,0.26734412,0.26639065,0.27159956,0.2792371,0.28461,0.2861159,0.28463766,0.2815547,0.27540585,0.26421553,0.24917185,0.23732094,0.23675638,0.25010082,0.27068636,0.2880272,0.29503635,0.29317442,0.28877664,0.28832293,0.2932179,0.3006475,0.30529758,0.30333415,0.2930505,0.27435532,0.24773812,0.21565492,0.18454348,0.163158,0.1566386,0.16123013,0.16601838,0.16222464,0.15091287,0.14278467,0.14832716,0.16953926,0.19793546,0.2221273,0.23430152,0.23329525,0.22169612,0.20417507,0.18713225,0.17690487,0.17605494,0.18029463,0.18311091,0.18259586,0.18415856,0.19437782,0.21309803,0.23263292,0.24379636,0.24293713,0.23247617,0.2177875,0.2037793,0.19453488,0.19223075,0.1951405,0.19662869,0.18877767,0.16893776,0.14216812,0.11840599,0.10514757,0.10536286,0.11810699,0.14333975,0.17983663,0.22358079,0.26410475,0.29126096,0.2999449,0.29483107,0.28460053,0.2774463,0.27663574,0.28155413,0.2891707,0.29649436,0.30184105,0.30523548,0.30659267,0.30418923,0.29363868,0.27082893,0.2351749,0.1922801,0.15148015,0.12100019,0.10338048,0.09582458,0.09384588,0.0956255,0.10050001,0.1073245,0.11241291,0.11614743,0.12384137,0.1433207,0.17307405,0.20100622,0.21196055,0.20172893,0.17794967,0.15231627,0.13055758,0.116090804,0.113804646,0.13192074,0.17079037,0.21984787,0.260512,0.28092432,0.2818845,0.27366397,0.26500836,0.25766334,0.25052902,0.24460281,0.24331713,0.24655294,0.2487738,0.24332567,0.22845165,0.20873164,0.19036902,0.1768433,0.1685019,0.16579778,0.17229724,0.1918097,0.22402315,0.260191,0.2887995,0.3019015,0.30240035,0.29879928,0.30009258,0.30752942,0.31813642,0.3268424,0.3320643,0.33250597,0.32649663,0.3105903,0.2840088,0.25023827,0.21714705,0.1928549,0.18384343,0.19275802,0.21823831,0.2529796,0.2857572,0.30529675,0.30671647,0.2937751,0.27664772,0.26539075,0.26435956,0.2709745,0.27951112,0.28600988,0.29013443,0.29336905,0.29648146,0.29861832,0.29838613,0.29543898,0.29181805,0.2916052,0.2985034,0.31281185,0.32982472,0.3427322,0.34632155,0.34093702,0.33063558,0.32010445,0.3102512,0.29907408,0.28537062,0.27189505,0.26388153,0.26303086,0.26467898,0.2604376,0.24486773,0.21912344,0.18866403,0.15930068,0.13418634,0.11440127,0.099675566,0.08924434,0.08214257,0.07727968,0.07369926,0.07062147,0.067928396,0.06608087,0.06565199,0.06673086,0.06870243,0.070692,0.071896546,0.07203318,0.07126984,0.0702039,0.06941306,0.06931826,0.070032805,0.07160953,0.073948465,0.07682947,0.07969236,0.081997335,0.083355255,0.08386964,0.0837967,0.08345026,0.08286784,0.08200416,0.08072022,0.07902532,0.0769866,0.07480649,0.072665624,0.07077222,0.06924894,0.068166085,0.06742907,0.066829614,0.06605458,0.064881384,0.06323363,0.06124821,0.059101712,0.05693601,0.054783206,0.0526643,0.050662432,0.04894789,0.04775466,0.04724836,0.047474746,0.048269536,0.049364418,0.050419837,0.051143456,0.051288415,0.05073138,0.049501594,0.04781126,0.04598236,0.04433575,0.043060657,0.042217314,0.041896764,0.042603675,0.045917157,0.05500098,0.074301295,0.106619835,0.14887847,0.18968587,0.21359915,0.2102149,0.18105246,0.13848315,0.09743611,0.06945464,0.060451765,0.07392874,0.10878422,0.15872484,0.21007492,0.24994,0.27117106,0.27662674,0.27245787,0.26382995,0.2515678,0.2363906,0.22011177,0.20577396,0.19411172,0.1852517,0.18241985,0.19226901,0.21942337,0.25873196,0.2984889,0.32701623,0.34052777,0.34056237,0.331164,0.31595138,0.29894975,0.28381824,0.27256128,0.26461932,0.25783393,0.25009587,0.24063607,0.23019022,0.2203459,0.21225739,0.20586456,0.20024657,0.19467323,0.189256,0.18446983,0.18056124,0.17747426,0.17533028,0.1745851,0.17544757,0.17748956,0.17987198,0.18231557,0.18541615,0.19023694,0.19742978,0.20688377,0.2177798,0.22905554,0.23964767,0.24870133,0.25525793,0.2584339,0.25768372,0.25369743,0.2484057,0.24452704,0.24415614,0.24800105,0.25506294,0.2635738,0.27173832,0.2787533,0.28443888,0.2888882,0.29150462,0.29138374,0.28815457,0.2826148,0.27686086,0.27280298,0.27191597,0.27405024,0.2786777,0.28432217,0.28963885,0.2926203,0.2918775,0.28674474,0.27803263,0.26712692,0.25561777,0.2449552,0.23661394,0.23167765,0.23020828,0.23107415,0.23257516,0.2335121,0.23362704,0.23368858,0.23466046,0.23721059,0.2408365,0.244591,0.2476644,0.25037643,0.2531747,0.25560138,0.25605324,0.25301254,0.24697326,0.23974991,0.23373108,0.22948118,0.22686863,0.22488318,0.22336876,0.22189619,0.22013259,0.21694876,0.21142322,0.20321758,0.19336875,0.18349884,0.17506957,0.16891634,0.16571437,0.16589244,0.16884512,0.17259558,0.17498095,0.17524956,0.1743543,0.17341156,0.17252165,0.17079471,0.16767521,0.16353197,0.15933417,0.15585743,0.15330873,0.15170866,0.1508971,0.15069096,0.15047853,0.14972863,0.1479773,0.14501828,0.1405117,0.13422573,0.1263149,0.11714188,0.10656317,0.093607545,0.0775618,0.059371646,0.04182661,0.028061988,0.01971881,0.016385773,0.01619749,0.017029144,0.017278755,0.01631255,0.014340381,0.012013136,0.00992127,0.008348986,0.0072997287,0.0066325516,0.006157001,0.005692676,0.0051226043,0.0044583613,0.0038205257,0.003350639,0.0030944773,0.002974297,0.002850064,0.0026170171,0.0022642883,0.0018588718,0.0014858544,0.0011883582,0.00095847994,0.00076766266,0.00060096063,0.00046311706,0.00036352593,0.00030218347,0.00026890307,0.0002487757,0.00023000727,0.00020557143,0.00017495656,0.00014063937,0.000108110835,8.326231E-05,7.219767E-05]