[0.0027756258,0.0028641436,0.003096013,0.003483884,0.0040239473,0.004687716,0.0054283175,0.0061780955,0.0068719895,0.007463003,0.007956463,0.008373074,0.008701525,0.0088345595,0.00860142,0.0078580985,0.006613076,0.0051694694,0.0045595653,0.006854145,0.015097204,0.031326707,0.054920893,0.081505835,0.105869375,0.1241856,0.13605839,0.14235394,0.14408316,0.14126986,0.1345222,0.12555628,0.11701235,0.110767186,0.10695386,0.10437214,0.10161177,0.09783075,0.09260931,0.0861971,0.079978555,0.0769276,0.080018446,0.08993515,0.10319502,0.11389414,0.11715669,0.11212068,0.10161265,0.089599945,0.07917123,0.072381526,0.07180742,0.08118638,0.10306435,0.13562292,0.17127538,0.2011836,0.21979816,0.22711937,0.22526395,0.21614127,0.20107333,0.18288578,0.16544761,0.15194745,0.14284499,0.13680173,0.13203314,0.12750915,0.122543834,0.11669564,0.1100428,0.10377851,0.1006882,0.104755424,0.118985794,0.14246063,0.16888928,0.19013846,0.20102756,0.20269461,0.20002174,0.19793832,0.19822133,0.20003748,0.2008825,0.19806623,0.18922897,0.17400177,0.15445836,0.13501695,0.119658135,0.110256396,0.10608977,0.10634903,0.11233798,0.12688333,0.15121919,0.18143825,0.21019767,0.23048146,0.23995714,0.24001749,0.23340917,0.22173862,0.20574267,0.18658118,0.16632302,0.14766228,0.13222179,0.12031373,0.11072833,0.10234332,0.094442554,0.08742788,0.08256292,0.082482904,0.09110269,0.1109851,0.14025532,0.17020665,0.1903749,0.19412887,0.18345058,0.16483638,0.14457281,0.12550344,0.1092396,0.09847375,0.09576578,0.10087553,0.10871982,0.11317697,0.1104466,0.102063544,0.09190402,0.084303856,0.08194188,0.0874587,0.10317186,0.12965116,0.16298653,0.19468822,0.21566959,0.22072439,0.21107578,0.19184834,0.16865611,0.14523266,0.12404072,0.10799066,0.09952107,0.09911278,0.10301476,0.10603719,0.104159236,0.09756315,0.0887736,0.08091802,0.076319225,0.07779903,0.089183025,0.11298675,0.14691931,0.18238099,0.20901369,0.22026397,0.21697974,0.2045338,0.18872179,0.17262852,0.15737353,0.14407867,0.13451947,0.13026924,0.1304105,0.13226427,0.13230152,0.12910233,0.12270319,0.115099914,0.10885304,0.108037986,0.11644099,0.1355722,0.16193815,0.18815468,0.206783,0.21408664,0.21071778,0.19943637,0.18325071,0.16476083,0.14703648,0.13336581,0.12634178,0.12591295,0.12945409,0.13316143,0.13468505,0.13374557,0.1313687,0.12861542,0.12683034,0.12853819,0.13718131,0.1544525,0.17793055,0.20081754,0.21616732,0.21985497,0.21277244,0.19792227,0.17941265,0.16022278,0.14357497,0.13193674,0.12710215,0.12821303,0.13243525,0.13619393,0.13748506,0.13635306,0.13389795,0.13187943,0.13243605,0.13910757,0.15414687,0.17681284,0.20101595,0.21952458,0.22719271,0.22424267,0.21353813,0.1983859,0.18073677,0.16218947,0.14501113,0.13184856,0.124636956,0.122767456,0.12370824,0.12420133,0.12277594,0.11965001,0.116230436,0.114008404,0.114988275,0.12236246,0.1385722,0.16328704,0.19035806,0.21172869,0.22023635,0.21528758,0.20029454,0.18179888,0.16439395,0.15134223,0.14373417,0.14248951,0.14716126,0.15555488,0.16364996,0.1679088,0.16712274,0.16245864,0.15570877,0.14836842,0.14196195,0.13914564,0.14285254,0.15394545,0.16923125,0.18240257,0.18797058,0.18410574,0.17301464,0.15817581,0.14275333,0.12924169,0.12005997,0.11665448,0.11811105,0.12116436,0.12241336,0.120513715,0.1164144,0.11171407,0.10722772,0.10293334,0.09847525,0.09387141,0.08942151,0.0856924,0.08310479,0.08173736,0.081171714,0.08067616,0.079591215,0.07808021,0.077528544,0.08074582,0.09030456,0.10647903,0.12539606,0.14076073,0.1474336,0.14457864,0.13527492,0.12370493,0.11291466,0.1040306,0.097226135,0.09200435,0.087905,0.08429945,0.08093683,0.07767966,0.07469355,0.072044216,0.069782704,0.068117626,0.067857556,0.07067522,0.0777336,0.088514656,0.09964756,0.10733259,0.10923531,0.10628108,0.10084412,0.0950776,0.0898045,0.08512762,0.08161805,0.08022145,0.0816002,0.08476622,0.08752397,0.08771146,0.084748946,0.07969263,0.07435137,0.07082378,0.07142267,0.0788965,0.0942843,0.115625836,0.13716127,0.15333538,0.1613111,0.16257334,0.15987627,0.15514386,0.14847797,0.13933392,0.12790443,0.11538184,0.103433855,0.092957355,0.08379077,0.07531592,0.06739733,0.06047262,0.055657107,0.056566596,0.07214139,0.11441467,0.18787229,0.27684703,0.34806752,0.37044144,0.33844948,0.27311116,0.20483164,0.1529846,0.12364572,0.11675277,0.13203198,0.16670133,0.21196993,0.2557379,0.28832158,0.3069995,0.31418005,0.3136455,0.30763996,0.29726887,0.28396162,0.26988116,0.25717154,0.24655026,0.23767044,0.22935468,0.22070706,0.21054333,0.19813412,0.18305796,0.16623186,0.14942673,0.13525574,0.12548384,0.120156355,0.11683317,0.11272725,0.10649224,0.09934073,0.09265381,0.08702997,0.08341818,0.0869239,0.10596565,0.1452585,0.19879226,0.24948724,0.27995017,0.2808917,0.25707293,0.22211762,0.19376974,0.18342024,0.1916771,0.20766568,0.21780856,0.21346205,0.19466959,0.16753419,0.13996516,0.11762512,0.101872064,0.09116548,0.08459216,0.08456125,0.09406734,0.11196021,0.1307187,0.1412785,0.13952817,0.1286626,0.11553603,0.105212115,0.09958559,0.09924105,0.10673114,0.12584122,0.15782286,0.19710873,0.23218055,0.2513998,0.249285,0.22804356,0.19484799,0.15859774,0.12843691,0.11273485,0.116318785,0.13801257,0.16999803,0.20209078,0.22621565,0.23992085,0.2449115,0.24431479,0.23960395,0.23038124,0.21635008,0.1998017,0.18558979,0.17756812,0.17478222,0.17146368,0.16134067,0.14240912,0.118165426,0.095654875,0.08202938,0.081541665,0.092627965,0.107936375,0.117688425,0.11630818,0.10510633,0.09053219,0.078169756,0.07032282,0.06635383,0.06565216,0.068335414,0.074423224,0.082245134,0.088434465,0.089852355,0.0857001,0.07796226,0.07049574,0.06766666,0.07388061,0.091210864,0.11790963,0.14778163,0.17482214,0.19607957,0.21272178,0.22587045,0.23495702,0.23766105,0.232512,0.22053872,0.2055341,0.19342017,0.18914117,0.19443087,0.20606072,0.21841455,0.22649677,0.22875863,0.22630598,0.22121662,0.21480916,0.20827264,0.20259242,0.19865352,0.1959495,0.19399299,0.19287467,0.19384563,0.19690777,0.20027643,0.2011854,0.19854529,0.19345723,0.1877806,0.18208833,0.17471276,0.16337176,0.1463901,0.124810636,0.10121391,0.079733156,0.06481133,0.064005844,0.087810725,0.14535813,0.23139496,0.3216565,0.38158596,0.39168975,0.3584886,0.3085581,0.26465586,0.2350139,0.21419972,0.19480295,0.17340052,0.1517948,0.133665,0.12156909,0.115384676,0.113091715,0.11230194,0.111502945,0.11059901,0.11101165,0.11539792,0.12524831,0.13890819,0.15083496,0.1559086,0.15286565,0.1454249,0.13809603,0.13316017,0.13005704,0.12762503,0.12552913,0.12421587,0.124171525,0.12526415,0.12693937,0.12840976,0.1292669,0.12942706,0.12901743,0.12811527,0.12682806,0.12600966,0.12683249,0.13033445,0.13574098,0.14124733,0.14470638,0.14547843,0.14398812,0.14135213,0.13839604,0.13566534,0.13356216,0.1324061,0.13236345,0.13296796,0.13342863,0.13295144,0.13153999,0.12973543,0.12848276,0.12881337,0.1320994,0.13923728,0.14946811,0.15949856,0.16525273,0.16446258,0.15839086,0.15034032,0.1433448,0.13856207,0.13578166,0.13428922,0.13358401,0.13335957,0.13350229,0.13389802,0.13437653,0.13455431,0.13392524,0.1320629,0.12894246,0.12539436,0.12308139,0.12412629,0.12925754,0.13695504,0.14336514,0.1453792,0.14213492,0.13572161,0.12850834,0.12215233,0.116911374,0.112870425,0.11017234,0.109019734,0.109209605,0.10989801,0.110072136,0.10912061,0.10725183,0.10515633,0.10376909,0.104387216,0.109060355,0.118936546,0.13267815,0.14514436,0.15112425,0.14824224,0.13909425,0.12793526,0.11819425,0.11100707,0.10647702,0.104689784,0.105594896,0.10846225,0.111389674,0.11237309,0.11034199,0.105977274,0.10070876,0.09565947,0.09144639,0.08914145,0.09140781,0.10047091,0.1161046,0.13328207,0.1458636,0.14968167,0.14574505,0.13759261,0.12893046,0.12185627,0.11795843,0.119443595,0.12841454,0.14458542,0.16309474,0.17564715,0.17518444,0.16057582,0.13771746,0.11521357,0.100319676,0.097160764,0.108507685,0.13479377,0.1722352,0.21149935,0.24193172,0.25603208,0.25178608,0.23128831,0.19975334,0.16530818,0.1371478,0.12199736,0.121146835,0.13134442,0.14863123,0.17032222,0.19480906,0.21875148,0.23796101,0.24923229,0.25463235,0.26178387,0.2817429,0.3195304,0.36674199,0.40159902,0.40405962,0.3710055,0.31854704,0.26843306,0.2333613,0.21407528,0.20514633,0.20140815,0.1987647,0.19340543,0.18245727,0.16655141,0.15031159,0.13877907,0.1329488,0.1296416,0.12639758,0.12575325,0.13336629,0.15217799,0.17843153,0.20432092,0.22345401,0.23447229,0.24001516,0.24326213,0.24584979,0.24753709,0.24783729,0.24680026,0.24523926,0.2439329,0.24293554,0.24182749,0.24000715,0.23752975,0.23452252,0.23094358,0.2261033,0.21968292,0.21239673,0.20522283,0.19779903,0.18780173,0.17369664,0.15694594,0.14189942,0.13150586,0.12472841,0.1178374,0.10948676,0.103591435,0.10645658,0.12082838,0.14208382,0.16122578,0.17044568,0.16724378,0.15358312,0.13400476,0.11436129,0.101528056,0.100105226,0.109012425,0.12040133,0.12560815,0.120763905,0.10883809,0.095093034,0.08312065,0.07427282,0.069866724,0.07297191,0.08644249,0.11043497,0.13979249,0.16732593,0.18765944,0.20242143,0.21658872,0.23457961,0.2538651,0.26896724,0.27488637,0.27260637,0.266315,0.2607127,0.25777522,0.25713035,0.2576585,0.2585322,0.25963482,0.26063108,0.26124892,0.26218185,0.26570502,0.27388075,0.28551653,0.29563937,0.29863924,0.29245088,0.27938595,0.26384926,0.25010207,0.24182819,0.2427032,0.25432184,0.2748367,0.29788205,0.31687376,0.32728517,0.32886073,0.32270324,0.3098383,0.2895247,0.26126996,0.22678535,0.19101071,0.1593195,0.13389656,0.11355289,0.096988685,0.0866491,0.08799229,0.10512781,0.13633388,0.17258525,0.20235854,0.2168619,0.21440518,0.19824052,0.1738588,0.14656432,0.12138549,0.1022769,0.09047047,0.08410964,0.08014349,0.07704839,0.07543608,0.07602751,0.07791088,0.07863466,0.07627525,0.070399515,0.062147286,0.053858902,0.04963531,0.055479933,0.076599985,0.11376325,0.15998559,0.20369084,0.23379044,0.2458658,0.24234326,0.2298408,0.21479417,0.20063727,0.18753965,0.17362535,0.15767641,0.14068218,0.12574254,0.117037654,0.11796096,0.13074815,0.15427865,0.18512441,0.2192166,0.25711894,0.30273017,0.3553189,0.40287343,0.4250777,0.41129628,0.36822808,0.31853703,0.2814265,0.2651325,0.26417875,0.26966986,0.27359346,0.27188337,0.2618919,0.24309333,0.21854712,0.19590783,0.1829477,0.18186618,0.18799783,0.19548029,0.20300208,0.2143052,0.23215282,0.25423762,0.27320755,0.28293216,0.2823235,0.27596366,0.2692136,0.26488844,0.26266363,0.2624512,0.2657185,0.27416563,0.28585434,0.2956107,0.298172,0.29244697,0.28111377,0.2682937,0.25706622,0.24940841,0.24646902,0.24946098,0.25875655,0.27348232,0.28959677,0.3018229,0.30524775,0.2984341,0.28247142,0.26007274,0.23473881,0.21075036,0.19295065,0.18379651,0.18214734,0.18278159,0.18040724,0.17303713,0.1645568,0.16264902,0.1735764,0.19710523,0.2251101,0.24706447,0.2557277,0.25121984,0.23730497,0.21837692,0.19633292,0.17295063,0.15031938,0.13127685,0.11716304,0.10771862,0.10149211,0.09733424,0.09452409,0.09270529,0.09147903,0.090377666,0.08878709,0.086064346,0.08235675,0.07922905,0.0795652,0.085261665,0.095435984,0.105945736,0.11261648,0.11353719,0.110198356,0.10495106,0.09957498,0.09502656,0.09324332,0.098327965,0.11451901,0.14316906,0.17907876,0.21279569,0.23446794,0.24082434,0.23564194,0.22752428,0.22225408,0.2205282,0.21856721,0.21353664,0.20504309,0.19490023,0.18467034,0.1751595,0.16668443,0.1594633,0.15324575,0.14665549,0.1386342,0.1309506,0.12913857,0.13849966,0.15874638,0.18221442,0.1989656,0.20358191,0.19929694,0.19447507,0.19672821,0.20727749,0.22265834,0.23806143,0.25124884,0.2615007,0.2687089,0.27243647,0.27273777,0.270372,0.2666786,0.26286247,0.25936067,0.25558558,0.25065765,0.24409153,0.2360125,0.22671668,0.2162828,0.20485939,0.19266145,0.1807868,0.17098022,0.16589878,0.16636969,0.17050387,0.17276825,0.16861987,0.15660076,0.14017333,0.12382928,0.110964715,0.10228389,0.09710678,0.09480014,0.094704814,0.09615624,0.09737938,0.09698817,0.09425797,0.09001728,0.0852263,0.08052382,0.078262895,0.08608177,0.11762174,0.18161213,0.26837614,0.34755543,0.38800094,0.38134632,0.34526613,0.3056221,0.27687272,0.26035485,0.2515726,0.24685685,0.24341874,0.23974495,0.2360326,0.2342748,0.23615737,0.24171953,0.24902946,0.25573066,0.26166865,0.2703937,0.2872529,0.31399283,0.3454874,0.371902,0.38455448,0.3799486,0.3597724,0.32951137,0.29732704,0.27285874,0.26428297,0.27380884,0.29567596,0.31744906,0.3281379,0.32390228,0.3110218,0.29829568,0.29125857,0.28783622,0.28350678,0.27570197,0.2678341,0.26618007,0.27469698,0.28964493,0.3006873,0.29787838,0.27938333,0.2535403,0.23277348,0.22580051,0.23290475,0.24906053,0.26783308,0.28508046,0.29667157,0.2996761,0.29247966,0.27863297,0.26394904,0.25412506,0.25084355,0.25385407,0.26325515,0.28060123,0.3061689,0.33636093,0.36492714,0.38651836,0.39979073,0.4061695,0.4074446,0.4034615,0.3930076,0.37591228,0.35485426,0.33440623,0.31769788,0.30424377,0.2906409,0.27406022,0.25464067,0.23662098,0.22785126,0.2383159,0.27371415,0.32745978,0.37826332,0.40204597,0.3894569,0.35243955,0.3132127,0.28651345,0.27384737,0.26825485,0.2640884,0.25881243,0.25315458,0.24720234,0.24088721,0.23260385,0.22214401,0.2099398,0.19826142,0.18900402,0.18492083,0.18836737,0.20019324,0.21683852,0.23132055,0.23766278,0.23486577,0.22673702,0.2177667,0.21102665,0.20898359,0.21561377,0.23386143,0.26098776,0.28616872,0.29756066,0.29147384,0.27605462,0.26304367,0.2576915,0.25584307,0.25122172,0.24384342,0.24227224,0.25590986,0.28717592,0.32684314,0.36155853,0.38064948,0.38285515,0.37212908,0.35436556,0.3330939,0.31135798,0.29165387,0.27649507,0.2660184,0.25921738,0.25451276,0.25204992,0.25349283,0.26139984,0.2781419,0.30267787,0.33075783,0.35418174,0.36675575,0.36594626,0.35618594,0.34412774,0.33556065,0.3306713,0.32527474,0.3132906,0.29174283,0.26323888,0.23602356,0.2193829,0.21861023,0.23186003,0.25202367,0.270986,0.2833606,0.28801808,0.2877747,0.289665,0.30313647,0.33516157,0.380487,0.42024088,0.4305825,0.40306976,0.35005245,0.29736748,0.26300374,0.25025952,0.2502121,0.25377858,0.25699124,0.26115954,0.26859927,0.27924156,0.29037544,0.29875934,0.3026968,0.30243516,0.2992382,0.2948933,0.29170728,0.29145154,0.29447058,0.29813012,0.29915223,0.29491702,0.2861847,0.2751358,0.26453218,0.2559127,0.2509081,0.25133404,0.2576768,0.2668406,0.27275506,0.27116892,0.2630789,0.25368792,0.24752927,0.24549432,0.24550323,0.24519652,0.24430616,0.24478097,0.2491725,0.2575909,0.2673076,0.27453324,0.2773162,0.2753465,0.26837373,0.25583902,0.23877513,0.22185023,0.21170193,0.21337563,0.22660883,0.24629278,0.2652391,0.27794325,0.2820579,0.27822974,0.26900655,0.2582331,0.25003794,0.2473207,0.24976456,0.2543303,0.2575276,0.25853866,0.25869134,0.25946674,0.25989282,0.25795215,0.2527817,0.24794291,0.24959278,0.26281667,0.28549778,0.3090886,0.32305053,0.32246667,0.30960622,0.2916517,0.2773269,0.27527484,0.2935722,0.33266267,0.38085583,0.41468215,0.41591993,0.384035,0.3374039,0.29623404,0.26970634,0.2555232,0.24926661,0.25079593,0.2614671,0.27980286,0.29994166,0.3163713,0.3271866,0.33398536,0.3379793,0.33831894,0.33344173,0.3239245,0.31225702,0.30130064,0.29164964,0.28270996,0.27349412,0.2645215,0.25719592,0.25293663,0.252013,0.25293764,0.25397253,0.2550204,0.2581246,0.26527596,0.2749553,0.28295073,0.28517258,0.28144455,0.27470687,0.26828095,0.2630681,0.25682762,0.24669598,0.23179154,0.21529698,0.20198749,0.19518583,0.19443367,0.19685666,0.19924664,0.19921148,0.19592208,0.190427,0.18689954,0.19023591,0.20325655,0.22281486,0.24217598,0.25488076,0.25975034,0.2599921,0.2607021,0.26496124,0.27395773,0.28660896,0.30151317,0.31515738,0.32346654,0.321076,0.3065071,0.28378734,0.26302472,0.2528207,0.25438294,0.26151535,0.2674563,0.27057785,0.2724478,0.27387127,0.27306017,0.26976475,0.26700392,0.26945737,0.27902806,0.29545626,0.319909,0.35454166,0.3950425,0.42600313,0.42968753,0.40199184,0.35668156,0.31402203,0.28511834,0.26985064,0.26318398,0.26214853,0.26556897,0.27238247,0.2807075,0.28869224,0.2951224,0.29966363,0.30252627,0.3041313,0.30487344,0.30533692,0.30642322,0.30839753,0.31052446,0.31077984,0.3082917,0.3037893,0.29968557,0.29757655,0.29744935,0.29826578,0.29850116,0.2974858,0.29463634,0.29081807,0.2869515,0.2841177,0.28178787,0.27815148,0.27095115,0.25952497,0.24702513,0.23982058,0.24519086,0.26541921,0.2958975,0.32576987,0.34583,0.35263073,0.3499976,0.34299898,0.33454204,0.32436725,0.31255832,0.30185577,0.29671907,0.29957804,0.30726898,0.31208244,0.3067527,0.2902012,0.2686861,0.25167742,0.2455468,0.25057778,0.26221836,0.2753512,0.28641903,0.29417333,0.298328,0.299323,0.29779816,0.2945126,0.2902342,0.28551748,0.280946,0.2766693,0.27250567,0.26761577,0.2611009,0.25242445,0.24167918,0.22925524,0.2154984,0.20207004,0.19460563,0.20353913,0.23828495,0.2952684,0.35395992,0.38680306,0.3815664,0.34772852,0.307604,0.2752451,0.25291625,0.2352711,0.21998294,0.2067179,0.19665347,0.18908893,0.1836741,0.1793316,0.1757377,0.17188223,0.16745274,0.16251968,0.15897793,0.15975402,0.16701968,0.17952162,0.19169046,0.19678257,0.19083524,0.17549677,0.15624082,0.13881811,0.12681668,0.12135472,0.12270609,0.12898564,0.13636191,0.13896884,0.1340823,0.12308261,0.11112832,0.101889975,0.09629679,0.09329364,0.093141414,0.098969914,0.11440065,0.13969357,0.16855825,0.19196703,0.20368804,0.20429592,0.1978889,0.18815707,0.17721565,0.16806258,0.16537166,0.17221518,0.1869791,0.20308013,0.21387456,0.21638356,0.2129072,0.20819575,0.20631087,0.20826888,0.21169041,0.21304862,0.21041887,0.20515163,0.19971251,0.19429801,0.18672247,0.17542441,0.16285847,0.15294749,0.14751494,0.14466716,0.1429805,0.14379339,0.14973104,0.16014199,0.17113589,0.1788535,0.18293214,0.18481018,0.18572754,0.18819793,0.20001704,0.23271132,0.2879584,0.348228,0.38179758,0.36986005,0.32117715,0.26633394,0.23017073,0.21822743,0.22037487,0.22552836,0.22814594,0.22739267,0.22371767,0.2189431,0.21490891,0.2135746,0.21439719,0.21685259,0.22010219,0.22497152,0.2315137,0.23848484,0.2426752,0.24010181,0.2292995,0.21171628,0.19254082,0.1759566,0.16481417,0.1586559,0.15739313,0.16094227,0.17052265,0.18581803,0.20533405,0.22554894,0.24327886,0.25594965,0.26289386,0.26453707,0.26242235,0.25828853,0.25325805,0.24725555,0.23922391,0.22905083,0.21794629,0.20835692,0.20153177,0.19753031,0.19520837,0.19617791,0.20652013,0.23653881,0.28881302,0.34916505,0.38769242,0.38185468,0.33468604,0.27341238,0.22590296,0.20228545,0.19622885,0.19784687,0.20300062,0.21144788,0.22193392,0.23037142,0.23244496,0.22730936,0.21737345,0.20662516,0.19712968,0.19023186,0.18662387,0.18879439,0.19780831,0.21279532,0.22870189,0.2404014,0.24470067,0.24251427,0.23643659,0.22925253,0.22567652,0.23371415,0.26381722,0.31632438,0.37611195,0.41474202,0.41389596,0.3766859,0.32642603,0.28479585,0.26061207,0.24958186,0.24440086,0.24028552,0.23554872,0.2299977,0.22368653,0.21694517,0.21012276,0.20384611,0.198555,0.19469292,0.19283156,0.19413044,0.19965684,0.20863497,0.21788394,0.22311626,0.2225791,0.21766506,0.21179856,0.20684986,0.20288996,0.19917236,0.19646253,0.19732457,0.20383047,0.2153794,0.22738843,0.23493756,0.2352647,0.22986472,0.22159831,0.21296859,0.20451395,0.19593062,0.18681772,0.17746794,0.16862823,0.1611293,0.15538935,0.15131815,0.14825019,0.1452337,0.14334448,0.14833559,0.17109948,0.21820362,0.28135642,0.3353769,0.35558388,0.33684838,0.2964121,0.25737074,0.23119448,0.21684434,0.20927,0.20728719,0.21096826,0.21829997,0.22367251,0.22273403,0.2150588,0.20463024,0.19553232,0.18983352,0.18870251,0.19621246,0.22019516,0.26410255,0.31774494,0.356902,0.36003134,0.3259884,0.27463076,0.23025304,0.20421487,0.196449,0.20544182,0.23609798,0.29058233,0.3579991,0.41300154,0.43320146,0.41542554,0.37759972,0.34218708,0.32137322,0.3138541,0.31346366,0.31559324,0.319123,0.32285357,0.32475778,0.32240382,0.31597057,0.30732396,0.29824272,0.28773287,0.27505013,0.2625637,0.2576563,0.26637775,0.28831434,0.31389523,0.33138084,0.33297205,0.31945255,0.2978561,0.27769658,0.2656283,0.2618812,0.2613164,0.25777575,0.24926697,0.23816305,0.22847019,0.22349761,0.22452098,0.23178595,0.24271084,0.25402328,0.26247028,0.26939043,0.27875927,0.29467264,0.31578374,0.33646515,0.3502678,0.35497275,0.35263708,0.34784746,0.34638926,0.35499373,0.37927815,0.41595647,0.45041785,0.4613935,0.43884242,0.390516,0.3382804,0.29917553,0.27801505,0.26861295,0.26483396,0.2640303,0.26622257,0.26947886,0.27056134,0.26716277,0.26132074,0.25805196,0.2618358,0.27248812,0.28538704,0.2947366,0.29804468,0.29646203,0.29343414,0.29107857,0.29023254,0.28998554,0.28969344,0.28832075,0.28606412,0.28541994,0.29331738,0.31721452,0.35539174,0.39189652,0.40349123,0.38048017,0.3333163,0.28523263,0.25070128,0.2319564,0.22407235,0.22586115,0.237881,0.25859407,0.28158727,0.2996488,0.30878016,0.310184,0.30787727,0.3053957,0.3036501,0.30208826,0.30088016,0.30128196,0.30412742,0.30811247,0.31140366,0.31328443,0.3152649,0.31856778,0.32278502,0.325779,0.32633913,0.32545152,0.3254927,0.32741284,0.32961026,0.3293318,0.32562184,0.3198568,0.31424722,0.309368,0.30433938,0.29820636,0.291666,0.28673008,0.28525802,0.28750515,0.29168618,0.2951394,0.29555246,0.29215494,0.28549662,0.27801147,0.2740811,0.2798144,0.2974614,0.3215818,0.33862022,0.33831087,0.32074797,0.29734218,0.2785697,0.26754513,0.26031855,0.2549729,0.25509623,0.2668005,0.29091963,0.32084915,0.3463765,0.36080024,0.3628726,0.35531935,0.3413825,0.32656732,0.3187833,0.32787427,0.3549278,0.38896325,0.40890202,0.40208432,0.37185895,0.3349496,0.30466437,0.28381538,0.27074587,0.26860645,0.28726545,0.32805988,0.3773022,0.40828097,0.40571856,0.37379098,0.33416128,0.3034602,0.28608036,0.2752918,0.26525402,0.25478336,0.24562214,0.23801778,0.23009877,0.22071065,0.21129112,0.2044947,0.20132822,0.20102374,0.20358585,0.21105261,0.22473584,0.2415632,0.25410792,0.25592113,0.2458303,0.22903831,0.2122047,0.20065999,0.19584568,0.19777179,0.20536345,0.21789233,0.233046,0.24688785,0.25461555,0.25402293,0.24668324,0.23695756,0.22871828,0.22431944,0.22414722,0.22734351,0.23120935,0.23238502,0.2283641,0.21962957,0.20952898,0.2018529,0.19843693,0.19783628,0.19987725,0.20887776,0.23562615,0.28562137,0.3498046,0.4013923,0.41596004,0.38891146,0.34033465,0.29617167,0.2713044,0.2653674,0.2715976,0.28439152,0.3000666,0.31511447,0.32570472,0.32970598,0.32698813,0.31859946,0.3049494,0.28681454,0.26712778,0.2520108,0.24810386,0.25785175,0.27671304,0.29461837,0.30253762,0.29758632,0.28436753,0.26997378,0.25932324,0.25491622,0.25997803,0.28123936,0.32089856,0.37068823,0.40954193,0.42084494,0.40284586,0.3714353,0.34324253,0.32653236,0.3189458,0.3162608,0.31583,0.31755638,0.32099387,0.32503352,0.32788643,0.3285252,0.32719693,0.32517207,0.3239353,0.32416174,0.3258234,0.3279272,0.32910314,0.32762983,0.32275966,0.3153871,0.30812132,0.30361965,0.30294207,0.30541715,0.3096758,0.3150244,0.32103872,0.32708895,0.33182824,0.33434498,0.3349018,0.3348385,0.3354014,0.33631626,0.33584777,0.331149,0.32034183,0.30346453,0.28348234,0.26452646,0.25027788,0.24219681,0.23964791,0.24051534,0.24182977,0.24098931,0.2362852,0.22836499,0.21903832,0.21116257,0.20609295,0.2041501,0.20355405,0.20250262,0.19902356,0.19259302,0.18358453,0.17408688,0.16665034,0.16305989,0.1627636,0.16348189,0.16360317,0.16317153,0.16327314,0.16353466,0.16252424,0.15924026,0.15529835,0.15386407,0.157257,0.16429563,0.17076254,0.17146377,0.16355012,0.14753221,0.12711738,0.1069855,0.09367851,0.09747356,0.13278419,0.20664288,0.30407658,0.3874366,0.41975328,0.3947291,0.33845544,0.2869922,0.2579767,0.25002205,0.25476047,0.26790115,0.28718153,0.30705407,0.32111907,0.3257581,0.32352057,0.31866172,0.31417584,0.3105049,0.30785945,0.3080463,0.31304908,0.32185236,0.32804468,0.32314324,0.30311832,0.2721659,0.23929125,0.21150386,0.19021893,0.174282,0.16416343,0.16433866,0.17841198,0.20462729,0.23350935,0.25459877,0.26286483,0.26092824,0.25435588,0.24728544,0.2427715,0.24417214,0.25501642,0.27521026,0.29947945,0.31907842,0.32659686,0.32003856,0.30336726,0.28452054,0.27129814,0.27059504,0.28756288,0.32573596,0.3792471,0.42988563,0.45187914,0.43147656,0.37835267,0.31887683,0.2758613,0.2553046,0.2518829,0.2588105,0.2721894,0.28591862,0.28937712,0.27315107,0.23642689,0.1898577,0.148293,0.12238208,0.11335233,0.115760334,0.12416234,0.137433,0.15759651,0.18337655,0.20792414,0.22192888,0.22059149,0.20525782,0.18078478,0.15375085,0.13533862,0.14339596,0.1931258,0.28058812,0.37487006,0.43501815,0.43922257,0.39949432,0.34744993,0.30811802,0.2874241,0.278788,0.27569732,0.27552518,0.27799213,0.28150186,0.2847504,0.28559726,0.2828431,0.2749932,0.2633815,0.2519306,0.24724726,0.25444737,0.27230135,0.29074156,0.29448152,0.27383062,0.23121609,0.18018384,0.13475074,0.10269656,0.085128725,0.08202053,0.09536465,0.12576313,0.16772406,0.20841394,0.2360288,0.24726534,0.24850883,0.24852298,0.25238106,0.2610053,0.27262673,0.28460774,0.2939288,0.2998228,0.30338165,0.30626842,0.30824542,0.3086125,0.3069434,0.3042221,0.30308935,0.31056046,0.33706403,0.3870665,0.44777915,0.48961115,0.4870889,0.43963388,0.37295297,0.31694344,0.28566802,0.27518484,0.27608004,0.28255633,0.29168352,0.2988689,0.2971778,0.28248373,0.256211,0.22585471,0.19930877,0.18253161,0.17696162,0.18226612,0.19670849,0.21836452,0.24287738,0.26446807,0.276899,0.27774334,0.26824063,0.25360698,0.23969768,0.23439634,0.24614453,0.28253335,0.33985248,0.39990273,0.43509927,0.4298403,0.390475,0.3408846,0.30184615,0.2804512,0.27158675,0.26768723,0.26430836,0.26050222,0.25692895,0.25457522,0.25403765,0.25581563,0.25992385,0.2662134,0.27454892,0.28554663,0.30020502,0.31647956,0.32745683,0.32251656,0.29578236,0.25089154,0.20024522,0.15609345,0.12440306,0.10518686,0.09682489,0.100701325,0.11803702,0.14810985,0.18328226,0.21492498,0.23532216,0.24443118,0.24553214,0.24422233,0.24315917,0.24331386,0.24389811,0.24398942,0.24264032,0.23924083,0.23418283,0.22873962,0.22460006,0.22273679,0.22315548,0.2267989,0.23817523,0.26617026,0.31565955,0.3770242,0.42401126,0.43120718,0.39528582,0.33851,0.2897731,0.26309288,0.2558333,0.25978133,0.2711047,0.2858506,0.29643467,0.29131177,0.26582232,0.22415294,0.1787499,0.13970666,0.11229354,0.0962199,0.091350466,0.099359535,0.12190133,0.15686853,0.19608675,0.23003776,0.25182477,0.2614815,0.262546,0.2603024,0.26011753,0.27041557,0.30128166,0.3561106,0.42064503,0.46560654,0.46495697,0.41835332,0.3496001,0.28995577,0.25503135,0.24411662,0.24621052,0.2520179,0.25595775,0.25720564,0.25728422,0.25818828,0.26043567,0.2627127,0.26319334,0.26190326,0.26173365,0.2672856,0.27969694,0.29325792,0.29587555,0.2777497,0.23829369,0.18799333,0.1402935,0.1042194,0.0815003,0.07120786,0.07437786,0.09431394,0.13105696,0.17717169,0.21910422,0.24627788,0.2567409,0.25737914,0.25595066,0.2568071,0.25967816,0.2632489,0.26640746,0.26883057,0.26990926,0.26935765,0.26723042,0.2646058,0.26251927,0.26179424,0.26364008,0.27323902,0.30015028,0.35260284,0.4226656,0.48377475,0.5027617,0.46940956,0.4019264,0.3350203,0.28999665,0.27038833,0.26788923,0.27773485,0.29648665,0.3186885,0.33269802,0.3292658,0.30680585,0.27329263,0.23723175,0.2037131,0.17505021,0.15664333,0.15626614,0.1773855,0.21414876,0.25279227,0.28131342,0.29486898,0.29734412,0.29482916,0.29221737,0.29218557,0.29980257,0.3233455,0.36801744,0.42326346,0.46302557,0.46091357,0.41552672,0.3501378,0.296429,0.2683052,0.26208857,0.26550105,0.27145386,0.27700594,0.2810606,0.28182387,0.2793708,0.27591515,0.274278,0.27498615,0.27634075,0.27754438,0.28075886,0.29015437,0.3053769,0.31975722,0.32205832,0.30710158,0.2783385,0.24683988,0.22173704,0.20759904,0.2044973,0.21162422,0.22834486,0.25239328,0.2790697,0.30137,0.31441662,0.31772843,0.31487963,0.3096453,0.30363414,0.2974814,0.29202497,0.28878355,0.28760064,0.28675556,0.28366527,0.27789655,0.27149805,0.26802793,0.2691704,0.27421865,0.28293332,0.29989737,0.3328853,0.38253352,0.43384147,0.46115425,0.44766033,0.39935735,0.33946288,0.2898892,0.25906542,0.24578829,0.24714474,0.2598811,0.2761444,0.28309512,0.27134976,0.24169898,0.20469682,0.17116971,0.14573534,0.12772202,0.11711326,0.11783447,0.13310556,0.16032912,0.18926035,0.20973891,0.21768343,0.21771453,0.21684833,0.21936369,0.22518899,0.23470688,0.25388467,0.2914473,0.34832633,0.40858904,0.44637108,0.44537267,0.41199017,0.36925545,0.33739653,0.3224148,0.31814173,0.31648916,0.3132845,0.30861294,0.30417478,0.3009442,0.29880545,0.29687798,0.29525256,0.29420266,0.29508817,0.29857606,0.3063881,0.3166859,0.3253977,0.32483208,0.31271747,0.29216823,0.27195388,0.25696594,0.24662806,0.2360207,0.22324301,0.21280795,0.2120076,0.22384627,0.2418737,0.25635743,0.26142564,0.26011267,0.25887266,0.26283646,0.2724947,0.28535992,0.2974836,0.30539104,0.3070691,0.30251816,0.29344222,0.28280538,0.27347243,0.26679263,0.26205474,0.2602202,0.2679137,0.29731855,0.35336408,0.42130232,0.4676757,0.46449304,0.41222334,0.338954,0.2767178,0.23992012,0.22690926,0.23104985,0.24842583,0.27254042,0.292853,0.29778644,0.2839351,0.25664043,0.22685112,0.20316587,0.1895839,0.18496336,0.1865289,0.19253393,0.20347232,0.21967392,0.23892649,0.2565063,0.2692089,0.27733436,0.2844694,0.294142,0.3095784,0.3344955,0.37189183,0.4174873,0.45559445,0.46634433,0.4421591,0.3959535,0.3517052,0.32592928,0.31919214,0.32188216,0.324563,0.32251844,0.3145194,0.30098295,0.28435808,0.2695261,0.26197907,0.26413348,0.273293,0.2844177,0.2942768,0.30431417,0.31669834,0.33041915,0.33846343,0.33379665,0.3148236,0.2892036,0.267656,0.25758365,0.25805342,0.2633843,0.2678859,0.2704183,0.2733434,0.27927363,0.28785077,0.29595697,0.30060422,0.30130044,0.2997855,0.29836878,0.29799402,0.299343,0.3021419,0.306536,0.3102018,0.31073087,0.3051566,0.29412973,0.27995515,0.2666809,0.25854337,0.26296777,0.2901449,0.34541598,0.4167199,0.47424713,0.48740366,0.45008695,0.38351455,0.3214015,0.28489757,0.2780789,0.29135785,0.3130567,0.3314989,0.33827198,0.3281506,0.30254948,0.26806852,0.23369741,0.2046959,0.18137686,0.16165225,0.14576082,0.13811938,0.14355224,0.1631043,0.1906684,0.2174641,0.23639198,0.24668503,0.2511076,0.25369594,0.25862303,0.27326134,0.3073076,0.36356473,0.42689303,0.46705934,0.45883104,0.4043019,0.3305082,0.2700198,0.23817079,0.23338528,0.24562724,0.26650417,0.28934988,0.3080531,0.31838322,0.3193272,0.31430653,0.30777565,0.30331126,0.30146694,0.30144826,0.30246124,0.3042561,0.3047149,0.298624,0.28051013,0.2504643,0.21667044,0.19044383,0.17768659,0.17536174,0.17656,0.1798727,0.19099714,0.21686721,0.25545725,0.29634044,0.32657948,0.34025154,0.33902475,0.32964468,0.318863,0.31108114,0.30774394,0.30814657,0.31146255,0.31737113,0.3255144,0.3343842,0.3414363,0.3453484,0.346699,0.34873092,0.35584012,0.373649,0.40508795,0.4448825,0.47840297,0.48870334,0.47142255,0.43639934,0.4016516,0.37743446,0.36577448,0.3621393,0.3633333,0.36417675,0.35864985,0.33942127,0.30579278,0.26312742,0.2212757,0.18668824,0.1618061,0.1465668,0.14161925,0.14869677,0.16755748,0.19491012,0.2234633,0.24645567,0.25994208,0.2654661,0.26670706,0.26754236,0.27089366,0.28265274,0.3115382,0.36199847,0.4205447,0.45671627,0.4408919,0.37206033,0.2786688,0.1991604,0.1528886,0.13737331,0.13877584,0.14751647,0.15950395,0.17340636,0.1868719,0.1980231,0.20614193,0.21159881,0.21418571,0.21428634,0.21474843,0.22184394,0.24075371,0.27099812,0.30379185,0.3272531,0.33193538,0.31559908,0.28218648,0.24044867,0.20177181,0.17796473,0.17697276,0.1985374,0.23328288,0.26739672,0.29067168,0.3017319,0.3062547,0.3103634,0.3154376,0.3187107,0.31704643,0.31070656,0.3037897,0.3016795,0.30670354,0.31470168,0.3173717,0.30837464,0.2896219,0.27031434,0.26032093,0.26545218,0.28735515,0.32750723,0.38159493,0.43519056,0.46351683,0.45051327,0.40081406,0.33916223,0.28944287,0.26213792,0.25388768,0.25895584,0.2739886,0.29745018,0.32489902,0.35017988,0.3675711,0.3755964,0.37623096,0.3736395,0.3712944,0.37084377,0.3716546,0.37237155,0.37217757,0.37170863,0.37173164,0.3725547,0.3732988,0.3728784,0.37023166,0.36568427,0.36303318,0.3695295,0.3916165,0.42440653,0.451153,0.4509314,0.41827178,0.3646064,0.31158718,0.27275658,0.2519876,0.24533427,0.24858057,0.25713423,0.26686016,0.27414945,0.27745304,0.27661633,0.27194428,0.2633707,0.2513362,0.23819478,0.22873752,0.22949903,0.24339461,0.2663393,0.28563285,0.28988007,0.27566987,0.25102952,0.22585551,0.2065199,0.19465673,0.19272196,0.20389043,0.22755969,0.25523862,0.27488828,0.27989626,0.27393374,0.26599258,0.26120102,0.25714278,0.24882102,0.2366293,0.2285849,0.23458706,0.258108,0.29258394,0.3258574,0.34783435,0.35548154,0.35162345,0.34103546,0.32985637,0.32771322,0.34685597,0.39023864,0.44107187,0.46717405,0.44604,0.38449833,0.31485212,0.2692677,0.25987396,0.27812624,0.30833828,0.33829927,0.36149812,0.3742437,0.3743573,0.3630636,0.34498653,0.32626352,0.30925652,0.29285303,0.2750108,0.25847647,0.24984287,0.25519827,0.27361968,0.29739532,0.31684238,0.326929,0.32831,0.3245519,0.3187687,0.31559196,0.32342836,0.35261908,0.40207598,0.453756,0.47811985,0.46059844,0.41032824,0.35518762,0.31592366,0.29897678,0.29770985,0.30403423,0.31087515,0.31388953,0.31142744,0.30501866,0.29798487,0.29305717,0.2912243,0.29102013,0.29068708,0.28971717,0.2914538,0.29856893,0.31114054,0.32234168,0.3258764,0.31836486,0.304552,0.29097483,0.28216842,0.27697814,0.2715381,0.2653196,0.2620927,0.2672701,0.28019607,0.2940017,0.29991174,0.29453766,0.28126785,0.26646793,0.25537148,0.25039175,0.25341713,0.2651943,0.28498018,0.30778915,0.3274214,0.33813044,0.337557,0.32523012,0.30272526,0.27540648,0.25500628,0.25835323,0.29613414,0.3597337,0.41948786,0.44291517,0.41961643,0.36583516,0.3091417,0.26561365,0.23811258,0.22357823,0.22383077,0.23957749,0.26621476,0.2897836,0.29917923,0.29127142,0.2746329,0.25838903,0.24801433,0.24266832,0.2411999,0.24418192,0.25407174,0.27110723,0.29143956,0.30743122,0.312129,0.30229703,0.28064847,0.25421154,0.23486261,0.23695333,0.27375606,0.34304357,0.4213871,0.47020945,0.46580645,0.4150196,0.3505741,0.30096176,0.27508137,0.26511586,0.26312336,0.2671701,0.2780876,0.29301253,0.30616787,0.3129822,0.31369293,0.3114263,0.30853638,0.30529085,0.30198336,0.30209467,0.3098456,0.32509437,0.3395464,0.3422177,0.3281882,0.30279934,0.27636245,0.2560005,0.2426253,0.23399,0.22920577,0.22989745,0.23766692,0.25112724,0.26558018,0.2767068,0.28355476,0.2889595,0.29555586,0.30363908,0.31014943,0.31123137,0.30306005,0.28461015,0.25834462,0.23134428,0.21092753,0.20080417,0.19784527,0.19546825,0.18974447,0.18681486,0.20405234,0.25867715,0.34748062,0.43834043,0.48796043,0.4767274,0.42241648,0.36385882,0.32835805,0.31992242,0.32768258,0.34159628,0.35696688,0.36989272,0.373607,0.36047992,0.32906094,0.2869924,0.24773473,0.22195633,0.2117572,0.21136844,0.21330573,0.21377464,0.21305557,0.21191533,0.20947675,0.2043754,0.19808649,0.1948783,0.19968356,0.21617244,0.24802268,0.29897133,0.36554614,0.4304684,0.46613038,0.45481387,0.40351424,0.33974886,0.28999457,0.26364684,0.25521627,0.25536737,0.25960755,0.26719916,0.27803776,0.29047266,0.3025308,0.31321064,0.3227638,0.33130527,0.3380333,0.34101954,0.3388506,0.33140483,0.32067522,0.30929157,0.29965755,0.29264045,0.28814816,0.28519997,0.28278425,0.28000262,0.27691725,0.27424124,0.2730856,0.27367163,0.27550456,0.27776137,0.2803973,0.2833326,0.28456333,0.27933398,0.26287887,0.23577233,0.2062336,0.1864569,0.18447381,0.19916393,0.2216742,0.24236912,0.25594702,0.26250124,0.26436603,0.2638578,0.2623686,0.260909,0.26002526,0.2594231,0.2574145,0.2507687,0.23559983,0.21042748,0.17921448,0.15144414,0.1365282,0.13814779,0.15341084,0.17713587,0.20550857,0.23470844,0.26013735,0.27718428,0.28521684,0.28698948,0.28637454,0.28509292,0.28288975,0.27894112,0.27316707,0.26629713,0.25903258,0.25133237,0.24235477,0.23109078,0.21745746,0.20248814,0.18833639,0.1771367,0.1708628,0.17044687,0.17571752,0.1847083,0.19450593,0.20258538,0.20832999,0.21235393,0.21459351,0.21261954,0.20373122,0.18808599,0.17089935,0.15890485,0.15579136,0.1589762,0.16210783,0.15913709,0.14791842,0.13146189,0.117284834,0.11578345,0.13423108,0.17221737,0.21841115,0.257563,0.27683076,0.27187505,0.24489756,0.20316373,0.15731458,0.119566,0.10092893,0.105514996,0.12857012,0.15625541,0.17385976,0.17330973,0.15829077,0.13885552,0.12370569,0.11569852,0.11437295,0.12111176,0.1384119,0.16684484,0.20012873,0.22963834,0.24865806,0.25745264,0.2591058,0.25633785,0.24904604,0.237019,0.22252278,0.21030259,0.20541452,0.20917918,0.21889858,0.22910546,0.23574716,0.23754096,0.23616539,0.23432286,0.2342623,0.23642384,0.23943192,0.2410705,0.23998296,0.2358631,0.22900583,0.21977878,0.20913063,0.19863988,0.18906683,0.1799183,0.17009562,0.16137993,0.15784734,0.16410449,0.17963274,0.19957453,0.21682101,0.22789043,0.2328995,0.23619746,0.2457552,0.2736883,0.32784644,0.39936408,0.45936564,0.47562268,0.43909454,0.36988556,0.3017486,0.25507873,0.23198892,0.22286053,0.2210034,0.22349496,0.22990622,0.2369458,0.24033786,0.2363981,0.22565053,0.21150641,0.19871245,0.19138099,0.19330154,0.20813061,0.2352351,0.26759365,0.29168907,0.2981954,0.2869288,0.2680721,0.25177532,0.24321486,0.24144717,0.2443884,0.2513927,0.26202834,0.27422747,0.28354844,0.28702912,0.28488466,0.28028154,0.27532724,0.26990026,0.262849,0.25445274,0.24682117,0.24186547,0.24018884,0.24057597,0.242333,0.2448964,0.2483206,0.25136265,0.2535725,0.25810966,0.27360603,0.31146201,0.37245023,0.44097242,0.48619935,0.4873539,0.44600222,0.38750234,0.3370333,0.3063947,0.2931591,0.29201248,0.30150497,0.3193647,0.33933857,0.35061613,0.34760416,0.33232674,0.31307837,0.29599833,0.28310904,0.2741626,0.2697953,0.27210453,0.28153577,0.29634246,0.311614,0.3227893,0.32640484,0.32289764,0.31476548,0.3072358,0.30710912,0.32395664,0.3647069,0.42436174,0.48040733,0.50299984,0.47748932,0.4164478,0.3498366,0.30172768,0.27816105,0.27216598,0.2750896,0.28189313,0.2896615,0.2959493,0.29957387,0.30132666,0.30343506,0.30699536,0.31173775,0.31708023,0.32465217,0.33762518,0.35672066,0.37676498,0.38813886,0.38456455,0.36808196,0.3473121,0.3299304,0.31830853,0.31120455,0.30740806,0.30809084,0.31529352,0.3304026,0.35190353,0.37543634,0.39530322,0.40717056,0.4104322,0.40674028,0.39852807,0.38646808,0.3715962,0.35593525,0.34270278,0.3335836,0.32774487,0.32320747,0.31855956,0.31385878,0.3097783,0.30921915,0.31851855,0.34656975,0.39472184,0.44868508,0.4814366,0.47360244,0.43033335,0.37720415,0.33949852,0.32496896,0.32776418,0.33930156,0.35618046,0.37583673,0.3929348,0.39988494,0.39307448,0.3760122,0.35699463,0.34270313,0.33519247,0.33441755,0.3422869,0.36243215,0.39235863,0.42098257,0.43233964,0.42069936,0.3931178,0.36511752,0.34636554,0.33860812,0.340628,0.35567948,0.39072585,0.4435738,0.4967412,0.52132374,0.50128055,0.44336247,0.37364146,0.3136561,0.27181187,0.24496193,0.23059292,0.22931112,0.24283297,0.2686127,0.3000212,0.32845795,0.34875074,0.35909012,0.36099645,0.3553579,0.34572265,0.33769438,0.34030938,0.35709378,0.38484585,0.41178396,0.42813292,0.42843804,0.41646025,0.39929092,0.3859918,0.38049924,0.38191673,0.38451567,0.384333,0.38036045,0.37507927,0.36983654,0.36471215,0.3581954,0.35018632,0.34111786,0.3325152,0.3255335,0.32318518,0.32767475,0.33988205,0.35528567,0.36882997,0.37604496,0.37733698,0.3735594,0.3675817,0.3644905,0.37490818,0.40699753,0.45529422,0.4956521,0.500825,0.46297023,0.40171394,0.34660757,0.31487778,0.30431315,0.3057196,0.31422928,0.3298705,0.34934804,0.36330554,0.3628298,0.34743676,0.32583526,0.3079257,0.29840133,0.29614457,0.29874346,0.30477956,0.3139983,0.3257713,0.33902255,0.35169518,0.36175594,0.36745057,0.3690097,0.36746538,0.36607802,0.37014654,0.388468,0.42576945,0.4750925,0.51606697,0.52879924,0.51001775,0.47461534,0.44254264,0.42392787,0.4179841,0.41945767,0.4244412,0.43093407,0.4374028,0.4428959,0.44671318,0.44848374,0.44771314,0.44510254,0.44279948,0.4442512,0.45114264,0.46253356,0.4741,0.4816017,0.4825354,0.4783406,0.47247377,0.4684913,0.46765125,0.46892235,0.46994114,0.4685124,0.46399605,0.45834315,0.45500454,0.45649436,0.46142983,0.46568677,0.46514294,0.45902815,0.4493196,0.43893424,0.43005922,0.42388657,0.42089367,0.42026082,0.42065826,0.42090738,0.42141768,0.4228082,0.42504367,0.42705345,0.43109682,0.4443382,0.47637102,0.5254834,0.57420045,0.59514314,0.5759225,0.5270409,0.47509766,0.43862963,0.4212446,0.41697237,0.42187545,0.43509325,0.45385066,0.4716876,0.48201957,0.483477,0.47905806,0.472546,0.46533385,0.45866513,0.4549143,0.4571348,0.4638803,0.46979794,0.46816063,0.45859376,0.4456745,0.4360161,0.4311677,0.42867792,0.4255294,0.42383513,0.43165958,0.45634508,0.493716,0.52423793,0.5248194,0.4889305,0.432665,0.38183394,0.35096136,0.33775306,0.33164462,0.32572678,0.31920263,0.3134346,0.30805543,0.30204448,0.29529604,0.29008004,0.28780156,0.2887611,0.29116523,0.2950009,0.3016212,0.31235138,0.32406855,0.3291529,0.32103804,0.29958245,0.27248082,0.2485547,0.23289186,0.22560167,0.22573341,0.23366183,0.24867322,0.26649883,0.2787743,0.27971902,0.26977947,0.25605354,0.24464996,0.2371586,0.2310154,0.22591919,0.22544152,0.23393796,0.25072184,0.26916468,0.28160226,0.28428674,0.27902758,0.26988414,0.26145384,0.25948355,0.2724376,0.30898443,0.3678356,0.43284395,0.47668788,0.48171243,0.4506868,0.4057996,0.36839843,0.34806502,0.34205404,0.34590617,0.35797012,0.37695503,0.3974727,0.4111689,0.41255757,0.4022336,0.38458517,0.36342755,0.340983,0.32035506,0.3064001,0.3034202,0.31057152,0.3214171,0.32773018,0.32583603,0.31801784,0.30976677,0.30438498,0.30288425,0.30702102,0.32359758,0.3607696,0.41701153,0.47446373,0.50626206,0.4982299,0.45873868,0.4117254,0.3763241,0.35852182,0.354157,0.35748073,0.36444867,0.3726127,0.3801786,0.38596916,0.38934124,0.39054656,0.39016235,0.38918343,0.38855875,0.3901378,0.3958002,0.40640643,0.4197537,0.43149218,0.43759024,0.43709004,0.43201306,0.42538664,0.4192498,0.4147689,0.412827,0.41472062,0.4209746,0.4305685,0.4405454,0.44738957,0.44879642,0.44417477,0.43454227,0.42145005,0.40717033,0.39383948,0.38272715,0.37336603,0.36439225,0.35554373,0.34876052,0.34771106,0.35474584,0.3685266,0.38377908,0.39543864,0.4028746,0.4103512,0.42125425,0.43315983,0.4383571,0.43215486,0.4178594,0.4047967,0.39873683,0.3975846,0.3955569,0.3913833,0.3899041,0.394762,0.40244743,0.40454638,0.39726532,0.38564634,0.37843284,0.378309,0.3797381,0.37563932,0.3666588,0.35999814,0.36145464,0.36739385,0.36954916,0.36391887,0.35468364,0.3464676,0.33665916,0.31806698,0.291864,0.27408993,0.287622,0.3382726,0.4043602,0.44569167,0.43691668,0.3832424,0.3152175,0.26073703,0.23194207,0.22614653,0.23786278,0.26269373,0.29624298,0.33133426,0.35987067,0.37627944,0.38030955,0.37598458,0.3689095,0.36359915,0.36292422,0.36868975,0.3811551,0.3982524,0.414812,0.4258419,0.4292947,0.42755032,0.42430052,0.42175007,0.41994882,0.41790822,0.41543615,0.4126443,0.409947,0.40663394,0.40161344,0.39362982,0.38230562,0.36871746,0.35452756,0.34262228,0.3350161,0.3349663,0.3434917,0.3600869,0.37872025,0.39231262,0.39499447,0.38665414,0.371531,0.3557184,0.34633788,0.35028294,0.37475768,0.41857186,0.46876478,0.5005879,0.49641034,0.45758513,0.4053273,0.36157295,0.33612958,0.32691202,0.32961127,0.34357998,0.36709574,0.39475414,0.41660905,0.42732367,0.42771518,0.4248326,0.4229734,0.42288384,0.4222373,0.42044696,0.41767418,0.41369435,0.40747106,0.39910302,0.39084598,0.38453004,0.37988457,0.3739585,0.36599138,0.36025336,0.3670551,0.39607528,0.4454553,0.4969937,0.5229061,0.5076182,0.4581422,0.3996582,0.35426548,0.33008862,0.32324123,0.3272343,0.3383781,0.35386547,0.3707087,0.3848665,0.39367715,0.3958553,0.39204916,0.38382474,0.37455747,0.36871254,0.37121785,0.3833315,0.40112412,0.41614732,0.42191064,0.41768238,0.40810087,0.39800143,0.3892779,0.3821197,0.37737563,0.37799704,0.38627878,0.40217027,0.42131713,0.43815446,0.448198,0.45103633,0.44883886,0.44420746,0.43875965,0.43303302,0.42856255,0.4263982,0.42726147,0.42925742,0.43068764,0.43026236,0.42871228,0.42638442,0.4231836,0.41927078,0.4188092,0.4305173,0.461795,0.5078985,0.54955715,0.5648823,0.5479401,0.5123276,0.47871116,0.45836842,0.45078102,0.45043203,0.45303306,0.45498195,0.45209444,0.44107378,0.42301562,0.40288126,0.3864038,0.37591347,0.37050208,0.3690866,0.37355074,0.3890337,0.41712216,0.45166036,0.4781051,0.4857508,0.4743754,0.45489526,0.43753314,0.42560014,0.41756716,0.4151058,0.42636228,0.4560858,0.49522105,0.5204684,0.5128842,0.47503066,0.42906895,0.39790416,0.3875382,0.39018092,0.39468274,0.39753842,0.4002277,0.40621996,0.4155002,0.42607698,0.4335834,0.43504104,0.42833126,0.41586766,0.40227327,0.395228,0.39818895,0.40967512,0.42047942,0.42276105,0.41346768,0.3990006,0.3866962,0.38193238,0.38279727,0.38688955,0.39141166,0.39831623,0.4084381,0.42272624,0.4373597,0.44925892,0.45461857,0.45363733,0.4462885,0.4357153,0.42409012,0.41528943,0.40925285,0.40541363,0.40111813,0.39694953,0.39412227,0.3943225,0.39718786,0.4005889,0.40410092,0.40968236,0.42514464,0.45567283,0.4988029,0.5374219,0.552445,0.5359959,0.5000316,0.4646506,0.4439117,0.43890607,0.44404873,0.45312575,0.46175483,0.46534184,0.46060693,0.4477817,0.43189606,0.41980398,0.41540626,0.4180313,0.4231263,0.42689395,0.4269178,0.42345545,0.41667736,0.40810502,0.3994416,0.3937265,0.3925375,0.3961593,0.40261808,0.4116937,0.42564353,0.44968987,0.48251256,0.5122108,0.5181454,0.4890574,0.43336114,0.37573016,0.3378143,0.32543907,0.33053914,0.34167838,0.35184386,0.35873666,0.36277202,0.36568037,0.3694664,0.37532213,0.38253975,0.3892565,0.39399257,0.3971639,0.40100607,0.40803516,0.41798973,0.4276028,0.43210363,0.43029878,0.42418674,0.41777992,0.41257593,0.40895447,0.40654054,0.40554014,0.4043804,0.40014982,0.39019045,0.37530255,0.3595042,0.3474894,0.34155205,0.3404816,0.34136665,0.34127545,0.3396236,0.3375896,0.33781457,0.34179124,0.34974054,0.36051932,0.37322104,0.3869655,0.40019986,0.4113979,0.42199516,0.43889531,0.46937093,0.5103728,0.5431195,0.54404765,0.50522685,0.4430264,0.38523483,0.34984466,0.33690324,0.3375692,0.34609267,0.36178327,0.3833649,0.404472,0.4177206,0.4197781,0.41405714,0.405925,0.39899263,0.39426038,0.3938723,0.4024187,0.42356786,0.4528381,0.47728756,0.48250714,0.46524906,0.43413615,0.40342534,0.381609,0.37154582,0.37474355,0.39607212,0.43812105,0.49112168,0.5312698,0.5341442,0.49538878,0.43432525,0.37961885,0.34778962,0.3382924,0.3412491,0.34896252,0.35932612,0.37235498,0.38597104,0.39423242,0.39159012,0.3773562,0.35765514,0.34138253,0.33472148,0.33980915,0.3555007,0.37907326,0.4039837,0.42201415,0.42722002,0.42130768,0.41103414,0.40290642,0.3985258,0.39666685,0.39623857,0.39793405,0.40215185,0.407557,0.411544,0.41193476,0.40831217,0.40141153,0.39291915,0.38442874,0.37802723,0.37547767,0.37853894,0.38672924,0.39755216,0.40615585,0.40901506,0.40481576,0.39629468,0.38764504,0.38337246,0.38721156,0.40399763,0.43888506,0.4892881,0.53837377,0.55957216,0.5370664,0.47987768,0.4159514,0.37086824,0.3523263,0.35396543,0.36595842,0.38366446,0.40451905,0.42493555,0.43922618,0.44432366,0.44193268,0.43675447,0.4321244,0.42886806,0.42664766,0.42564094,0.42584738,0.426347,0.425951,0.42394927,0.420392,0.4144888,0.40519705,0.39295414,0.38133213,0.37796608,0.39079964,0.4248518,0.47251272,0.5146134,0.52701426,0.5005132,0.4462804,0.38893506,0.347653,0.32813415,0.32594052,0.33456782,0.34918475,0.36552548,0.37907317,0.38624406,0.385577,0.3778367,0.36443064,0.34726384,0.33006212,0.3189313,0.32095745,0.33818248,0.36534438,0.390656,0.40485215,0.40528238,0.39661527,0.38434204,0.3722858,0.362388,0.35703,0.35930142,0.3712577,0.39240405,0.41854677,0.44405746,0.46383247,0.4761608,0.48167706,0.48246047,0.4800142,0.47560608,0.47032547,0.46497118,0.4599013,0.45497346,0.45068085,0.4475635,0.4458438,0.4443202,0.44152167,0.43854776,0.44110405,0.45837578,0.49254426,0.5325865,0.5553534,0.5455739,0.5069145,0.46113023,0.42771527,0.41368055,0.41379023,0.42136538,0.4318739,0.44212738,0.4474444,0.44392017,0.43133697,0.41439107,0.39894423,0.3885732,0.38341463,0.38398445,0.39246258,0.41175258,0.43791875,0.46113384,0.46888208,0.45916483,0.43877628,0.42037117,0.40920976,0.40517673,0.4060355,0.4157342,0.44044927,0.4782054,0.5132827,0.5235228,0.5009799,0.45727682,0.41600814,0.39086047,0.38257316,0.38235044,0.38525918,0.38898942,0.39480755,0.40133747,0.40843293,0.4138583,0.41748378,0.41729227,0.41397038,0.4077958,0.40268716,0.40146694,0.40589717,0.41160965,0.41225886,0.4034758,0.38804185,0.37195465,0.35937718,0.34923193,0.33947334,0.33028266,0.32637954,0.33231902,0.35004804,0.37488887,0.3995495,0.41664505,0.4244567,0.42496082,0.42278206,0.42062843,0.4195472,0.4186701,0.41714966,0.41470012,0.41163597,0.40875673,0.40635243,0.4047222,0.4036524,0.4035487,0.4057926,0.41483012,0.4369966,0.4746213,0.51739985,0.5435726,0.53443307,0.4916112,0.43688664,0.39529178,0.37787047,0.38050687,0.3943793,0.4129144,0.43176123,0.44534376,0.44905317,0.4426632,0.43090883,0.41986993,0.4124036,0.4087579,0.40782508,0.40958044,0.41317543,0.4176503,0.4216806,0.42622364,0.4320717,0.43946388,0.44525775,0.4470003,0.44340685,0.43923032,0.44161996,0.45808324,0.48466095,0.5062511,0.5024283,0.46750125,0.4145386,0.3674229,0.34114584,0.33570147,0.34145483,0.34982347,0.35777524,0.3657709,0.37428665,0.38186005,0.38650095,0.38716817,0.38467464,0.38017666,0.37519297,0.3719977,0.3749645,0.38724688,0.40734896,0.42742968,0.43941605,0.4402678,0.43366876,0.42454305,0.4158715,0.40819994,0.40200642,0.39756647,0.39405546,0.38995227,0.38412574,0.37733984,0.37049448,0.364393,0.35832098,0.3518118,0.34470156,0.338568,0.3358784,0.3386475,0.34643784,0.35578224,0.36256972,0.3640554,0.3606532,0.35413584,0.34676588,0.34150195,0.34450504,0.36532882,0.4082079,0.4628948,0.50368387,0.50779635,0.47344577,0.4214653,0.37734923,0.3530587,0.34652624,0.35024515,0.35962582,0.37134388,0.38154602,0.3864952,0.3852459,0.3799359,0.3727857,0.36426368,0.35399154,0.34500495,0.34598362,0.36840177,0.41497907,0.47166982,0.51088756,0.51207036,0.47709465,0.4283373,0.38905764,0.36847913,0.36497387,0.37643144,0.40652442,0.45148715,0.4939197,0.5040219,0.46710157,0.3931942,0.31487843,0.2583579,0.23249245,0.22846444,0.23526405,0.2456137,0.2566276,0.26471806,0.26464295,0.25096384,0.222817,0.18553112,0.1490037,0.12209568,0.109169096,0.110347696,0.12480253,0.1511405,0.18588261,0.2214566,0.25029504,0.26839343,0.27788627,0.28268084,0.28572768,0.28727928,0.2870047,0.28490582,0.2815009,0.27713823,0.271395,0.2625014,0.24744558,0.22381723,0.19256246,0.15972058,0.13426341,0.12520857,0.13651702,0.16573413,0.2018637,0.23064436,0.23938961,0.22480506,0.19280429,0.15571691,0.1248329,0.10701873,0.10393103,0.11421231,0.13368474,0.15496562,0.16875076,0.1681428,0.15254384,0.12755,0.10137107,0.08138104,0.07296755,0.0804925,0.10574039,0.14587076,0.19095689,0.22922044,0.2527444,0.26246905,0.2639916,0.2629807,0.26180336,0.26130578,0.2619253,0.26357386,0.2648289,0.2631913,0.25614315,0.24117225,0.21665578,0.18313383,0.14551422,0.11242268,0.09353716,0.09600998,0.12050674,0.1597822,0.19868357,0.22172336,0.21969555,0.19555461,0.16015281,0.12639107,0.10274177,0.09276194,0.097452186,0.11615586,0.14589407,0.17828733,0.20264415,0.2096057,0.19709587,0.16960008,0.13630937,0.106101245,0.08463973,0.07268772,0.06754506,0.06581764,0.06545371,0.06594377,0.06715066,0.06834217,0.06825871,0.066697,0.06666375,0.075362794,0.10028956,0.1433099,0.19607536,0.24472165,0.27804875,0.29432225,0.29857823,0.29658455,0.29056528,0.28070548,0.2683319,0.2565883,0.24827999,0.24333829,0.2392913,0.23314224,0.22381307,0.21178305,0.1991098,0.18795812,0.18089567,0.17987971,0.18578885,0.1978628,0.21274067,0.22623537,0.23396637,0.23457652,0.2288214,0.21988446,0.21078183,0.20331599,0.196069,0.18491893,0.16586919,0.13883297,0.10901602,0.08339847,0.066420354,0.057520077,0.05401734,0.054873243,0.063381545,0.08504409,0.122511365,0.17108913,0.21909384,0.25448188,0.2716045,0.273505,0.2673284,0.25886884,0.25009504,0.24074669,0.23063393,0.22037917,0.21073866,0.20212536,0.19471888,0.18882781,0.18452775,0.18134888,0.17863117,0.1765682,0.17704445,0.18301241,0.196402,0.215971,0.23644952,0.25094876,0.25400102,0.24434932,0.22403823,0.19661184,0.16546516,0.13403933,0.106158584,0.08484316,0.07114499,0.06375517,0.06048282,0.059394915,0.05930267,0.05963518,0.060427006,0.063065045,0.07105837,0.08984233,0.12320868,0.16903858,0.21765356,0.25695348,0.27906504,0.28401652,0.27704728,0.26428297,0.2501074,0.23677014,0.22514935,0.21470399,0.20485444,0.19523066,0.18690489,0.18051755,0.17615645,0.1723277,0.1682043,0.1642765,0.16317569,0.16804238,0.18062492,0.19937973,0.21922402,0.23400368,0.23977387,0.23695402,0.22916877,0.22050337,0.21341129,0.20816098,0.20411469,0.20033856,0.19657463,0.1923771,0.18755268,0.18171304,0.17531358,0.16878378,0.16249211,0.15605177,0.14958166,0.1437662,0.13983013,0.13806246,0.13790129,0.13829716,0.13875794,0.13937071,0.14058514,0.14299963,0.14708526,0.15300392,0.1599201,0.16613898,0.16967797,0.16970778,0.16695996,0.16329448,0.16031958,0.15867387,0.1578043,0.1567304,0.15482621,0.15269446,0.15154459,0.15214181,0.15366447,0.1546417,0.15433323,0.15352428,0.15344153,0.15452214,0.15623182,0.15792942,0.15928729,0.16027538,0.16070323,0.16067208,0.16030681,0.15982829,0.15880568,0.15672623,0.15323955,0.14885312,0.1445414,0.14139022,0.13996293,0.14011286,0.14107235,0.14189905,0.14196835,0.14135276,0.14079475,0.14149052,0.14438723,0.14947729,0.15542842,0.16016914,0.16236156,0.16203664,0.16043226,0.15820403,0.15516776,0.15021463,0.14310078,0.1342944,0.12533166,0.117233224,0.11082643,0.1059122,0.10242573,0.09986835,0.09817528,0.0968783,0.09588418,0.09514424,0.09531186,0.09684817,0.09977326,0.10313498,0.10592974,0.1076434,0.10861036,0.109246254,0.10958325,0.10933926,0.10876157,0.10895351,0.11134488,0.116334856,0.12274492,0.12834191,0.13137399,0.13140391,0.12923329,0.12608929,0.122981966,0.12040622,0.11819178,0.115805954,0.11287563,0.10991543,0.10809702,0.10837575,0.11031473,0.11214578,0.111805566,0.108419515,0.10263934,0.09608128,0.09013203,0.085491955,0.082040966,0.07938216,0.077151634,0.07548062,0.07470173,0.07478501,0.07480062,0.073485486,0.07047768,0.066920586,0.06460563,0.06429168,0.064975746,0.06475522,0.062496934,0.058740187,0.05488399,0.05173627,0.048682258,0.044726327,0.039856747,0.035500422,0.033228584,0.03334577,0.034662608,0.035472628,0.0347062,0.032202236,0.028490333,0.024277171,0.020227863,0.016789649,0.01424119,0.01268652,0.012056111,0.012025789,0.012155436,0.012092006,0.011833045,0.011570902,0.011478926,0.011492777,0.011505776,0.011518064,0.011610489,0.011732976,0.011678628,0.011293742,0.010589726,0.009682839,0.008642103,0.007533683,0.006457869,0.0055534597,0.004898751,0.004541367,0.00450864,0.0048221,0.005376288,0.005948849,0.0062585375,0.0061688363,0.0057513565,0.005241072,0.004817445,0.004496353,0.0041599763,0.0037449582,0.0032820862,0.0028654132,0.0025156683,0.0022227175,0.0019560687,0.0017406967,0.0015965109,0.0015345911,0.0015149576,0.001479972,0.0013843131,0.0012337688,0.0010866923,0.001012279]