[0.22764058,0.23701261,0.2565665,0.27919272,0.29964542,0.316566,0.33149052,0.34504652,0.3555371,0.3595307,0.3545238,0.34069002,0.3216573,0.3026395,0.28761327,0.27724877,0.26996273,0.26512787,0.26336047,0.26538324,0.26844952,0.26899284,0.26408988,0.25446382,0.24209315,0.23050155,0.22532462,0.23261185,0.2545768,0.28393027,0.30909923,0.32101026,0.32062212,0.3141839,0.3072623,0.29987893,0.2888983,0.27252433,0.25211716,0.23127662,0.21249652,0.19728176,0.18749571,0.1869184,0.19846219,0.22025442,0.24498744,0.26422903,0.27419937,0.2769703,0.27795222,0.28060523,0.28446615,0.28519592,0.27938724,0.26728225,0.2530947,0.24049635,0.22995122,0.21955334,0.208007,0.1961338,0.18509088,0.17528212,0.16586132,0.15631585,0.14662421,0.1372702,0.12856989,0.12050748,0.11302027,0.106014095,0.09959913,0.09375467,0.08837666,0.08330097,0.07848042,0.074134134,0.07051911,0.067888804,0.06624278,0.06543013,0.06608291,0.07087823,0.08494201,0.11098942,0.14365646,0.16784441,0.16872214,0.14388122,0.107466646,0.081244506,0.08112169,0.110776186,0.16102286,0.21666725,0.26155183,0.28738227,0.29224455,0.27959168,0.25279468,0.22120266,0.19980353,0.20319496,0.23156087,0.2688878,0.29660508,0.30778527,0.31001195,0.31266406,0.3184054,0.32168874,0.3169701,0.3030677,0.28282765,0.25799748,0.22840835,0.19565825,0.16868687,0.15992385,0.17588408,0.20877694,0.24170911,0.2604268,0.2616818,0.2519019,0.2408852,0.23839696,0.25002822,0.27555755,0.30655047,0.3331754,0.34805954,0.35051584,0.3414447,0.32306913,0.29722893,0.26723498,0.23580523,0.20444185,0.17380144,0.14492626,0.12003332,0.10243236,0.09649363,0.10740501,0.1370443,0.18088877,0.22544579,0.25490484,0.26000407,0.24590373,0.23074226,0.23288698,0.25986758,0.30209807,0.34363106,0.3708364,0.3809578,0.3776265,0.36800137,0.3575832,0.35021803,0.34716251,0.34817705,0.35166466,0.35524562,0.35531297,0.34745684,0.32782996,0.2965678,0.2597268,0.22848731,0.21404703,0.22146767,0.24624999,0.27576494,0.29712203,0.3036449,0.29793933,0.28607455,0.2725335,0.2572824,0.23891,0.2177171,0.19663356,0.17969485,0.1678109,0.15784942,0.14315741,0.120244674,0.09108817,0.0633382,0.044313263,0.038719755,0.047667325,0.06923482,0.09746706,0.12303277,0.1376959,0.13871923,0.1299939,0.11775484,0.106742375,0.09836868,0.0923285,0.087853275,0.084487714,0.08178637,0.07927764,0.076635845,0.073792465,0.07091073,0.06802901,0.0650349,0.06170145,0.057989206,0.05409603,0.05181408,0.05510193,0.07019657,0.09847135,0.1324609,0.15472408,0.15204056,0.123695426,0.08509902,0.05578841,0.05305351,0.08603541,0.15549019,0.24932468,0.34531602,0.41798154,0.4520869,0.44764766,0.41966188,0.3871498,0.36537853,0.35851073,0.36243978,0.36841282,0.36920342,0.36034894,0.34193,0.318878,0.30072626,0.295415,0.30379102,0.3176882,0.32739016,0.32713214,0.3178827,0.30418432,0.2934384,0.2919009,0.3018004,0.31728134,0.330878,0.33755133,0.33902583,0.33712712,0.33464345,0.33391055,0.33949152,0.35094652,0.36210015,0.3627087,0.34847715,0.32230374,0.29172075,0.26176962,0.23601277,0.21930343,0.21932131,0.24017827,0.27642843,0.3131979,0.334282,0.32991806,0.30036125,0.2538747,0.20330186,0.16029203,0.13150793,0.1166844,0.11268431,0.117717944,0.13515136,0.16857989,0.21638589,0.26631618,0.30385837,0.3208071,0.3214219,0.31415486,0.30320743,0.28597748,0.25961626,0.2282358,0.20254205,0.19411115,0.20743085,0.23794584,0.27452657,0.3065346,0.32811615,0.3391985,0.34191862,0.33808395,0.32888934,0.31617078,0.30264387,0.2906482,0.2816286,0.27574244,0.2725869,0.27142128,0.2728553,0.27761516,0.28556237,0.29400352,0.30151162,0.30876562,0.31761846,0.3256501,0.3274045,0.31765345,0.29596028,0.26548,0.23188733,0.20139122,0.17946665,0.16826785,0.16617523,0.17017694,0.17790262,0.18854521,0.20076828,0.21380599,0.22713184,0.24091649,0.2526607,0.2578392,0.2527181,0.23963524,0.22582622,0.21939129,0.22282512,0.23351306,0.24543758,0.25476703,0.26057157,0.26470777,0.2683674,0.27154836,0.27477637,0.27917513,0.28395686,0.28230405,0.2665215,0.23560113,0.20069218,0.1770999,0.17392112,0.18856293,0.21121742,0.23283416,0.24859846,0.25886714,0.26585162,0.2730641,0.28268394,0.29582462,0.311016,0.32519412,0.333642,0.3323591,0.31981912,0.2993861,0.2773337,0.25939092,0.24622835,0.23486917,0.22268213,0.21214528,0.21030797,0.22349036,0.25233725,0.2889543,0.32249185,0.34296563,0.34764782,0.33862054,0.32304826,0.30821025,0.3005208,0.30237898,0.31264174,0.32772326,0.34243593,0.35099256,0.34837005,0.3348458,0.31725904,0.30547473,0.3047175,0.3126947,0.32284692,0.32980362,0.3312882,0.32711637,0.31958833,0.31259173,0.31073633,0.31411418,0.3200076,0.32345572,0.32298818,0.3177251,0.30916718,0.2976512,0.28571805,0.27542496,0.27179077,0.27907464,0.29999247,0.32919535,0.35603368,0.3687131,0.3631743,0.34423718,0.32411036,0.31460592,0.32149673,0.33987698,0.3586004,0.36691424,0.36166155,0.3467404,0.32964167,0.31622264,0.30734494,0.2982011,0.28195894,0.2562625,0.22655772,0.20233947,0.18999599,0.18837042,0.19166489,0.19466364,0.19710398,0.20272689,0.21596734,0.23777401,0.26441374,0.28891286,0.30434045,0.30586854,0.29268503,0.26840422,0.2418711,0.22391404,0.22247702,0.23726206,0.25924286,0.2765514,0.28023097,0.2691874,0.24782194,0.22562365,0.211821,0.21186912,0.22145654,0.2288364,0.22234891,0.19991095,0.1709889,0.15034385,0.14733261,0.1603365,0.17832796,0.19134136,0.19645947,0.19838773,0.200752,0.20219429,0.19726759,0.18298756,0.16265687,0.14562978,0.14286971,0.15900086,0.18786782,0.2138617,0.2231354,0.2110787,0.18424521,0.15305763,0.12771682,0.115681104,0.120499976,0.13832612,0.1577865,0.16563873,0.15509476,0.12985426,0.10145377,0.08321276,0.0829157,0.09952245,0.1230069,0.14233439,0.15095384,0.15044974,0.14534448,0.13985871,0.13523078,0.13170587,0.12972951,0.13102846,0.13745865,0.1494575,0.16502942,0.18059386,0.19199957,0.19424616,0.18246102,0.15460199,0.11577176,0.07619181,0.046919197,0.034210455,0.040976774,0.06636241,0.10672301,0.15355037,0.19838439,0.23517542,0.26270166,0.2812498,0.29317227,0.30296752,0.31598702,0.33334255,0.3491981,0.3551406,0.3479226,0.33327177,0.32146028,0.31865415,0.3226116,0.32592466,0.32336184,0.3157145,0.30661213,0.29897156,0.29324126,0.291198,0.29541054,0.30730474,0.32351184,0.3374257,0.34465554,0.3452609,0.34356293,0.3417219,0.33944663,0.33385107,0.32473937,0.31418237,0.3059498,0.30150044,0.2998087,0.29874533,0.29902327,0.3051995,0.32201886,0.34886798,0.37745646,0.3976331,0.40374565,0.39787665,0.3855238,0.37135065,0.35695076,0.3417385,0.32536376,0.30950728,0.2994958,0.30045465,0.31348166,0.33206794,0.3475982,0.35405722,0.35209045,0.34464,0.33396614,0.3187747,0.2972424,0.26968026,0.24145073,0.21962993,0.20919597,0.20977326,0.21879262,0.23367989,0.25266495,0.2726021,0.2903372,0.30399093,0.3139081,0.31912974,0.31791428,0.30963805,0.29968756,0.2959366,0.30301347,0.3156304,0.32362387,0.31950364,0.3066661,0.29367614,0.28749207,0.285724,0.28324458,0.27865097,0.27794722,0.28673324,0.3022071,0.3135374,0.30963126,0.2883134,0.25789785,0.23330063,0.22743005,0.24462295,0.27795795,0.31512758,0.3445467,0.36114419,0.36497667,0.360749,0.3545793,0.35213795,0.35501638,0.36034513,0.3629301,0.3595942,0.3512595,0.3418784,0.3348862,0.330644,0.32658446,0.31978056,0.30989313,0.3003454,0.29633048,0.3012431,0.31373495,0.32927546,0.34331095,0.3542972,0.36246148,0.36758542,0.36691406,0.3556023,0.33097968,0.29701602,0.2668595,0.2535205,0.2611119,0.27895212,0.293986,0.29836807,0.29456303,0.28523025,0.27369678,0.26327083,0.26227334,0.27566528,0.30257884,0.33317378,0.3582572,0.37130785,0.37296057,0.36567548,0.35309827,0.33627877,0.3158146,0.29467168,0.27881643,0.27447292,0.28115174,0.2943231,0.3090546,0.32651544,0.34779987,0.37068328,0.38695765,0.38991216,0.3775735,0.35477653,0.3291438,0.30835116,0.29695448,0.29623303,0.30407062,0.31606045,0.32622802,0.33083734,0.3310093,0.333133,0.34295818,0.36101267,0.38115785,0.39552018,0.39854088,0.39052558,0.37652847,0.36416343,0.35820344,0.358808,0.3624188,0.3659241,0.36793742,0.3685703,0.3687106,0.370176,0.37439677,0.3805935,0.38471636,0.38199112,0.36850274,0.34399402,0.31158042,0.2795122,0.25770667,0.25408682,0.26927134,0.2964674,0.32486263,0.34383962,0.34800854,0.33881757,0.32603082,0.32085574,0.32947302,0.34638867,0.35965356,0.3588947,0.34320188,0.32017258,0.29981056,0.2882134,0.28450623,0.28402892,0.28324994,0.28271028,0.28408453,0.28657246,0.28805664,0.29032257,0.29906604,0.3179656,0.34088194,0.35486865,0.34828117,0.32136503,0.2862246,0.26029578,0.25404143,0.26498297,0.28086948,0.29004833,0.28931677,0.28348586,0.2799867,0.28437975,0.29985952,0.32669425,0.3602681,0.39047384,0.40704215,0.40785322,0.4005672,0.3960859,0.39854988,0.40458056,0.40808165,0.40715885,0.40377855,0.40114984,0.4002218,0.3998915,0.39798614,0.3930937,0.38482717,0.37392697,0.36181214,0.3503915,0.34166196,0.3364184,0.33431384,0.33384082,0.33432785,0.33461997,0.33344212,0.32796657,0.31756485,0.30276373,0.28637075,0.26932254,0.2543648,0.24498391,0.24657397,0.25952163,0.27922428,0.2975223,0.3095024,0.31439313,0.31461444,0.312515,0.30998003,0.30813223,0.30728713,0.3068134,0.30537477,0.302937,0.30094343,0.3024257,0.3079255,0.3146814,0.31642148,0.30869982,0.29014608,0.26333413,0.23242788,0.2041343,0.18737246,0.18911546,0.20889549,0.2347986,0.25053957,0.24326922,0.21416925,0.17759864,0.15795289,0.17447083,0.23067343,0.30743274,0.37631786,0.41549373,0.4226985,0.40960622,0.39113328,0.37587526,0.36577725,0.35952315,0.3554847,0.3523271,0.3482283,0.34155026,0.33223233,0.32237217,0.31409717,0.30745062,0.3004726,0.2919097,0.28239146,0.27390122,0.26856652,0.26878527,0.27668428,0.29158136,0.30921292,0.3241837,0.3352376,0.34504318,0.3564255,0.36779618,0.3750497,0.3754703,0.37008658,0.36227536,0.35510054,0.3505366,0.34920767,0.35158035,0.35795727,0.3682188,0.3805103,0.3905716,0.3929399,0.3826815,0.35841465,0.3242391,0.29035494,0.268937,0.26649034,0.27988687,0.2976504,0.30881974,0.3060288,0.28904736,0.26247033,0.23854852,0.23165512,0.2511771,0.29164577,0.33465585,0.35981783,0.35748085,0.33366945,0.30424625,0.28685203,0.29014897,0.3113731,0.33616528,0.35143816,0.35123232,0.34072018,0.32640168,0.3126124,0.29969013,0.2881179,0.27944005,0.27520782,0.27613986,0.2807541,0.28676054,0.29137304,0.29329005,0.291958,0.2879993,0.28362843,0.28352603,0.292447,0.31135932,0.33590546,0.3589233,0.37367317,0.3750687,0.36158928,0.3378533,0.3151225,0.30425084,0.30806282,0.31955352,0.32922307,0.33204016,0.3290535,0.3234825,0.3177832,0.31266034,0.30874094,0.3069229,0.3088636,0.3150371,0.3241962,0.33259544,0.3358382,0.3294472,0.31136146,0.2829754,0.2520074,0.22955136,0.22471605,0.23672672,0.25478852,0.265012,0.25924233,0.23826559,0.2090913,0.18215567,0.1695577,0.18013842,0.21199568,0.24827449,0.26577294,0.25028524,0.20885514,0.1666844,0.15252477,0.1795278,0.2382096,0.3023212,0.3486174,0.36806726,0.3682733,0.36094356,0.35483155,0.35147586,0.3492615,0.3455762,0.3395249,0.3319827,0.32471767,0.31898525,0.31458414,0.31087497,0.30672044,0.30131093,0.29366148,0.28416845,0.27427104,0.2668914,0.26538435,0.27383313,0.29452765,0.32562113,0.35912457,0.3851073,0.39658582,0.39351425,0.3806657,0.3648164,0.35159647,0.34426227,0.34287214,0.34489596,0.34710112,0.34729192,0.34529805,0.3429152,0.3431675,0.3480231,0.3565482,0.36473075,0.36923078,0.36912274,0.3663164,0.36195984,0.3569169,0.3520222,0.34926954,0.34932938,0.35020295,0.34828272,0.34081137,0.32794213,0.31188163,0.29557738,0.28046882,0.2667224,0.25480005,0.24803232,0.2505045,0.26363358,0.28312108,0.3037146,0.32292664,0.34295475,0.36521462,0.38785422,0.40518212,0.41172823,0.40481463,0.38674045,0.36321545,0.34081805,0.32339284,0.3122926,0.30675468,0.30516478,0.30452058,0.30297652,0.301792,0.30543184,0.31668738,0.33307296,0.3465735,0.34814194,0.3310899,0.2957255,0.25044844,0.212354,0.19733001,0.21154863,0.24397193,0.27474064,0.2852371,0.2696805,0.23531164,0.19900246,0.17820613,0.18305634,0.21127574,0.25046644,0.28673646,0.31186426,0.32534578,0.3297778,0.32800615,0.3221189,0.31520036,0.31037164,0.31000516,0.31475177,0.32476035,0.33789733,0.34805942,0.34438363,0.31863868,0.27399844,0.22811772,0.20423405,0.21449228,0.25197077,0.29300848,0.31455186,0.30529475,0.27211925,0.2323323,0.20480244,0.19930951,0.21465002,0.24456787,0.29012117,0.3579657,0.44861817,0.53984994,0.5990731,0.6039731,0.5624753,0.49988163,0.44217524,0.40033105,0.37568653,0.3638372,0.36252955,0.36959457,0.384161,0.40285358,0.42126688,0.4349921,0.43923667,0.42953706,0.40165076,0.36062014,0.31925824,0.2949684,0.29684356,0.32744977,0.38435948,0.460878,0.53870827,0.59026724,0.5967321,0.5627091,0.51499754,0.47881362,0.46385083,0.46179616,0.4617958,0.45726904,0.44985116,0.44346774,0.44203746,0.4458532,0.452252,0.45693588,0.45624474,0.44854078,0.43432093,0.41623196,0.39772364,0.38193333,0.37089548,0.367193,0.3712217,0.3791109,0.37884977,0.3607787,0.32437506,0.2835231,0.25288448,0.23978287,0.24112089,0.25168896,0.26893938,0.29287162,0.3243604,0.36108354,0.39927796,0.43468726,0.47183514,0.5172848,0.57131165,0.6140277,0.6206203,0.5801225,0.51022637,0.44385722,0.4110671,0.42509624,0.4780152,0.5426996,0.583297,0.5774251,0.5293929,0.46723512,0.4184114,0.39538023,0.38798097,0.37678912,0.3419465,0.28025985,0.20402288,0.13724403,0.10091569,0.11117264,0.17521763,0.2854729,0.4105711,0.50566965,0.5400598,0.5181459,0.47180405,0.4315509,0.40920603,0.39997497,0.3970978,0.3966862,0.39759776,0.3981441,0.39732668,0.39485887,0.39130202,0.38738385,0.3838761,0.38085422,0.37727427,0.3711333,0.36094025,0.34763625,0.33563045,0.3320407,0.34044257,0.3571545,0.3701159,0.3696092,0.3545278,0.33422032,0.31895187,0.31356725,0.3172079,0.3265427,0.33882383,0.35019246,0.35775256,0.36001882,0.36084267,0.3679227,0.3929946,0.44162288,0.50629133,0.5618466,0.583721,0.5647851,0.52263135,0.4818966,0.45741713,0.44902286,0.44969854,0.4534787,0.4570743,0.45893887,0.45776972,0.4527925,0.4447477,0.43667915,0.4310062,0.4255605,0.41341135,0.39067006,0.3618548,0.33888438,0.3331696,0.3530437,0.40139142,0.47205463,0.54474133,0.59251046,0.5988001,0.56889963,0.5237929,0.48352802,0.45778716,0.4470439,0.4479108,0.45593318,0.46558538,0.47259498,0.47419068,0.47074738,0.46317115,0.45363244,0.44343618,0.4343003,0.42689073,0.42195022,0.4183531,0.41473982,0.4099724,0.40657267,0.40529624,0.4031327,0.3899984,0.36027336,0.31590378,0.26929137,0.23269016,0.21535744,0.21924646,0.24125987,0.2742447,0.3114864,0.3479421,0.37953067,0.40251926,0.41837052,0.43714836,0.47022834,0.5154179,0.55166394,0.5557539,0.52412516,0.47820494,0.4469672,0.4493972,0.4872477,0.54705673,0.60268956,0.6252548,0.600442,0.53868663,0.46833733,0.41371074,0.3825939,0.36330354,0.33790317,0.29240093,0.22934334,0.16305624,0.11362793,0.095795535,0.12238141,0.19904275,0.31686494,0.44188473,0.53098863,0.558336,0.5328656,0.48547968,0.44457963,0.42269447,0.41852513,0.4270608,0.4441928,0.47034177,0.50474185,0.5418226,0.56972855,0.5833813,0.59074545,0.6055638,0.62687665,0.6348536,0.6077106,0.5441148,0.46600136,0.40194285,0.36857498,0.3627173,0.36838993,0.36817646,0.3558891,0.33687702,0.32272804,0.3190424,0.32261512,0.3221003,0.30798766,0.2785512,0.24470162,0.22319861,0.22741656,0.26019442,0.31614372,0.38947773,0.47228554,0.5502836,0.599102,0.60099775,0.5582875,0.4964166,0.44306484,0.4123172,0.40032947,0.3971479,0.3946093,0.38923895,0.37931073,0.364756,0.3482208,0.336009,0.33441898,0.34333786,0.35400164,0.35419062,0.3389305,0.3131514,0.28952977,0.2810785,0.30159324,0.35723028,0.44054016,0.5222257,0.57029915,0.56865674,0.532094,0.48779824,0.4575343,0.4445475,0.44290933,0.44537067,0.4489698,0.45215154,0.45358276,0.4516628,0.4460454,0.4379553,0.42913866,0.42043725,0.41167712,0.4034878,0.39821777,0.39859545,0.40536574,0.41582227,0.42407998,0.42015028,0.39388922,0.34130606,0.27435383,0.21599512,0.18741034,0.19139503,0.21446514,0.2382427,0.2541918,0.2640754,0.2752483,0.2893612,0.30327442,0.311825,0.3226372,0.35168314,0.41111124,0.48662487,0.5428826,0.5486472,0.50319916,0.43694413,0.38939288,0.38928738,0.4409641,0.52276325,0.59258336,0.61281055,0.57425106,0.502141,0.43389058,0.39372727,0.38327596,0.38821483,0.39020315,0.3753982,0.3424736,0.30181432,0.2711831,0.26550612,0.29585138,0.3623254,0.45094693,0.52938,0.566704,0.5535709,0.51101786,0.4697092,0.44665956,0.4389751,0.43513978,0.4281371,0.41717994,0.4046662,0.39310995,0.38349578,0.3763353,0.37101802,0.36912104,0.37084022,0.3746346,0.37539482,0.3709773,0.364938,0.36445522,0.37411675,0.39085606,0.40681028,0.41182578,0.399955,0.370432,0.32986835,0.28820977,0.25501797,0.23434919,0.22337694,0.21519311,0.204913,0.1950422,0.19485074,0.2138139,0.25626957,0.32068372,0.40280235,0.49275327,0.5714261,0.6149287,0.6103437,0.56848276,0.51604694,0.4770068,0.4578397,0.45209408,0.45048976,0.44862047,0.44600764,0.44313666,0.44032076,0.43811068,0.4386532,0.4422318,0.44446138,0.43521026,0.4072999,0.36316,0.31606975,0.2824111,0.27621722,0.3084379,0.3814843,0.48252586,0.57853997,0.6350772,0.6368758,0.59973407,0.5534287,0.5204148,0.5051515,0.5005502,0.49913287,0.49702957,0.493574,0.48816988,0.4801288,0.4690541,0.45637178,0.44523755,0.4387497,0.43745503,0.4390534,0.44059408,0.44126236,0.4424843,0.4458661,0.4494946,0.44718885,0.43067133,0.39576575,0.3464818,0.29442844,0.25282502,0.22901,0.22135574,0.22038585,0.2168467,0.20751296,0.19945793,0.20131159,0.21830678,0.2478369,0.29198956,0.35602272,0.44203195,0.5306361,0.58987826,0.59653896,0.55737716,0.50312334,0.46786252,0.47298947,0.51910347,0.5866584,0.640227,0.6492281,0.60615116,0.5336898,0.4643409,0.42079225,0.4028726,0.3975625,0.38818923,0.36692274,0.33359942,0.2959087,0.26516694,0.257368,0.2882693,0.36138907,0.45722565,0.53733104,0.5696976,0.5504491,0.5046359,0.46219528,0.43700993,0.42390677,0.41266528,0.3998938,0.39115795,0.39294875,0.40637183,0.4266207,0.4518461,0.48779473,0.5407405,0.60216427,0.64409375,0.6378737,0.5773847,0.48808098,0.40767574,0.36435512,0.36160716,0.38388696,0.40620068,0.4110758,0.39564836,0.3724958,0.35616925,0.35334095,0.35978127,0.36767706,0.37182108,0.37075293,0.363987,0.34966984,0.32766736,0.30563173,0.3033633,0.34145722,0.42227578,0.5163136,0.5796229,0.5836165,0.5351402,0.46427467,0.39971474,0.35451117,0.32774892,0.31431416,0.30875573,0.30830514,0.31216964,0.32188872,0.33783293,0.35795358,0.3746504,0.37807444,0.35847685,0.3159212,0.259484,0.2056966,0.17039935,0.17001677,0.21908633,0.31894907,0.44493404,0.5491357,0.59232306,0.5700838,0.5152413,0.46580902,0.43986407,0.4305874,0.42319486,0.40873346,0.38760838,0.36557412,0.34829828,0.33879507,0.33613893,0.33727357,0.33869275,0.33807635,0.33465946,0.32889864,0.32205358,0.31600773,0.31366107,0.31904125,0.33206487,0.34576926,0.34557363,0.3220075,0.2768108,0.22477324,0.18061955,0.15236272,0.13845931,0.13368498,0.13331555,0.13568433,0.14143439,0.14995767,0.16082306,0.17828876,0.21822162,0.29577324,0.40826297,0.5222881,0.5969185,0.6116757,0.5832823,0.5442745,0.5187072,0.50919574,0.50730276,0.50490934,0.49932495,0.49093747,0.4807677,0.47021064,0.461279,0.45674685,0.45921686,0.46979013,0.4868118,0.50587857,0.52208966,0.53210646,0.5353903,0.5325181,0.5245409,0.51186997,0.4958439,0.4778551,0.46026814,0.44442487,0.43163195,0.42148802,0.41347638,0.40681207,0.4024448,0.4017396,0.40499294,0.41011986,0.41429743,0.41637495,0.416999,0.41701874,0.41590157,0.41261688,0.40679136,0.3995917,0.39260665,0.38750163,0.38497987,0.3857133,0.38926005,0.39459693,0.3992612,0.40161598,0.4012681,0.3997661,0.3983271,0.39747068,0.39632097,0.39393497,0.38883904,0.38030538,0.36834538,0.3545188,0.34037617,0.3267888,0.31475464,0.30668736,0.30604362,0.3131242,0.32350704,0.32990956,0.32805678,0.31878936,0.30666456,0.29598877,0.28900668,0.28557444,0.2846677,0.28545368,0.28801093,0.29237607,0.29764298,0.30190107,0.30292377,0.29903114,0.28947854,0.27544573,0.26025298,0.24838676,0.24314944,0.24508469,0.25194788,0.260213,0.26653627,0.26943922,0.26966104,0.2699513,0.27262363,0.277989,0.2834138,0.28609228,0.28480744,0.28151774,0.27852878,0.2775027,0.27799094,0.2792671,0.2804141,0.2811416,0.281527,0.28207064,0.2833437,0.28548443,0.2885138,0.29257175,0.29810575,0.3050798,0.3122336,0.31722203,0.31787196,0.31406024,0.30791798,0.3025782,0.29964134,0.2984372,0.296469,0.29180372,0.28420952,0.2758756,0.2693775,0.26630953,0.26613572,0.2677779,0.27084407,0.275954,0.28319442,0.29101983,0.29683292,0.29888475,0.29748,0.29450846,0.29185316,0.29039633,0.28989303,0.28990206,0.29030976,0.2918345,0.29486576,0.29891983,0.30212256,0.30295494,0.3010824,0.29741862,0.2928578,0.28769836,0.2817376,0.2747332,0.26724705,0.26273587,0.26682803,0.28442237,0.3131928,0.34421137,0.36631748,0.374603,0.37140715,0.3634397,0.3562485,0.3521565,0.3507354,0.35009804,0.3481979,0.34339687,0.33552697,0.32600257,0.3171593,0.31052244,0.3057875,0.30135676,0.29569253,0.288644,0.28128627,0.27546158,0.2725633,0.2728996,0.27526954,0.27748355,0.2777733,0.275561,0.27180144,0.267472,0.26314607,0.2583224,0.25234583,0.2446358,0.23537011,0.22537528,0.21524318,0.20565487,0.20032056,0.21148531,0.2577869,0.34949115,0.47049665,0.57816195,0.6309232,0.61766547,0.5645727,0.5094547,0.4764003,0.46657684,0.47016463,0.47762394,0.48457563,0.48983538,0.49329972,0.4955488,0.4971253,0.49723998,0.49182746,0.4751587,0.4451349,0.40803686,0.37607038,0.36039522,0.36593148,0.39556494,0.4495853,0.52234626,0.59203905,0.63257104,0.6290561,0.5941728,0.5534213,0.52753335,0.51856136,0.51847386,0.51843804,0.5147956,0.5075952,0.49917993,0.49276105,0.48999166,0.48938847,0.48693573,0.47925225,0.46637508,0.4522898,0.44247398,0.4401249,0.44433072,0.45228657,0.46131265,0.46772096,0.4633675,0.43870568,0.39207783,0.33561066,0.28893963,0.26475278,0.26299554,0.27483562,0.29295242,0.31202304,0.32964012,0.34248033,0.35066596,0.35625944,0.36895704,0.40243936,0.4653711,0.5445918,0.60470796,0.6123505,0.5628319,0.48699442,0.42761314,0.41745707,0.46254897,0.54317397,0.6175756,0.6462548,0.6142425,0.5431829,0.47119915,0.42756286,0.41706547,0.4266428,0.43798962,0.43871677,0.425372,0.40157846,0.3754797,0.35929283,0.37024474,0.41928124,0.49788222,0.5709974,0.6003525,0.571552,0.50682765,0.44321752,0.40504542,0.39260748,0.392671,0.39444545,0.3953657,0.39860272,0.40630785,0.41659212,0.4243045,0.4263951,0.42430747,0.42259714,0.4225625,0.42173883,0.41632888,0.40701684,0.3975993,0.3925532,0.39134002,0.3886465,0.37538698,0.34700242,0.30671296,0.2653654,0.23205571,0.2107805,0.20202847,0.20838833,0.23159158,0.26722902,0.3020028,0.32181212,0.3214465,0.3118271,0.31698295,0.36056456,0.44658923,0.54834443,0.62150127,0.6334579,0.58615327,0.51047367,0.4415519,0.3974899,0.37725174,0.37072095,0.36949924,0.3698952,0.37169585,0.37546885,0.38180432,0.39141273,0.402428,0.4093677,0.40344182,0.38068163,0.34516183,0.30860388,0.28447905,0.2861338,0.32659706,0.4090055,0.5175877,0.6136113,0.65959644,0.64163446,0.5812828,0.51451176,0.46882978,0.4499524,0.44889125,0.4536508,0.45687768,0.45670864,0.45412198,0.45046225,0.44641277,0.44246674,0.4390365,0.4364082,0.43387738,0.43053338,0.42535642,0.4190738,0.41420624,0.4146547,0.41979778,0.42028275,0.40012026,0.34939957,0.27498022,0.19790117,0.1396405,0.10999643,0.10707182,0.12221345,0.145868,0.16970088,0.19001251,0.20590103,0.21930243,0.23415804,0.26327276,0.3210751,0.41065088,0.5069881,0.5706659,0.574255,0.5261052,0.46206304,0.4233538,0.43529525,0.49811116,0.58586085,0.65550846,0.67045075,0.6229739,0.5396515,0.45952892,0.40958598,0.3900702,0.3835517,0.36826518,0.33536592,0.28996733,0.24761768,0.22294535,0.22878884,0.27480748,0.3616122,0.4696094,0.56026965,0.5989156,0.5788751,0.52475464,0.46966708,0.43358335,0.41731504,0.41379824,0.41681576,0.4254545,0.43872836,0.4534379,0.46406552,0.47195104,0.4884232,0.5264658,0.5833339,0.63481325,0.6517039,0.62253684,0.562789,0.50047046,0.45778236,0.4390923,0.43511975,0.43110728,0.41837692,0.39710423,0.3742456,0.3560449,0.3454537,0.34277776,0.34673056,0.3531761,0.35487446,0.34543312,0.32298288,0.29361847,0.2710096,0.27674893,0.3277848,0.4216484,0.52594215,0.5975422,0.6110683,0.5764449,0.5245728,0.48267797,0.4598883,0.45135477,0.44781256,0.44223866,0.43102625,0.41465354,0.3971016,0.38547042,0.38701904,0.40389648,0.4290125,0.4476166,0.44728014,0.4268179,0.3978376,0.37719974,0.3792832,0.41173604,0.47140217,0.54152423,0.59414846,0.60673016,0.5769257,0.52562684,0.47864163,0.45064366,0.43968257,0.43695846,0.435028,0.43166542,0.42813352,0.42668238,0.42820287,0.4307367,0.4307265,0.42449316,0.41105604,0.39240563,0.37390766,0.360288,0.354151,0.35472095,0.36308742,0.3798791,0.40232337,0.41737723,0.41124058,0.37939486,0.33416727,0.2931287,0.26765642,0.25810614,0.2596732,0.26798633,0.27965727,0.2930287,0.3058569,0.3180091,0.3314074,0.35815492,0.4110867,0.49274182,0.5772851,0.62862486,0.623697,0.57565105,0.5187864,0.48821366,0.5000227,0.54917073,0.6113734,0.6538644,0.65267926,0.6066309,0.53777343,0.4745709,0.43799433,0.43205312,0.4494274,0.4740683,0.49188685,0.49215126,0.4747304,0.44804332,0.4307309,0.44142628,0.48613176,0.548105,0.5954304,0.6040835,0.57411325,0.5271264,0.4860303,0.46070138,0.44757518,0.43876052,0.4301242,0.42221633,0.4182694,0.4195665,0.4236195,0.42657587,0.42699072,0.42768657,0.4305704,0.4338191,0.43266332,0.42408848,0.41031396,0.39580536,0.3871579,0.38524362,0.38647878,0.3791829,0.35624444,0.31778905,0.27482638,0.23858649,0.21709484,0.21364684,0.22879632,0.25918156,0.29526547,0.3241053,0.33475196,0.3263472,0.31179455,0.31596208,0.3604512,0.4458933,0.543009,0.61130446,0.6263058,0.5961247,0.548302,0.50706697,0.47965583,0.46060112,0.44265413,0.42326736,0.40452752,0.3893567,0.3797811,0.37623295,0.37932932,0.3859359,0.3899953,0.38222858,0.3607597,0.32996872,0.30124295,0.2850914,0.2954786,0.3442671,0.431465,0.53208566,0.6041561,0.616359,0.5700529,0.49728832,0.43380216,0.39864007,0.38916016,0.39353976,0.4005704,0.40490997,0.4051211,0.40206406,0.3968735,0.39091432,0.3851949,0.38027462,0.37559852,0.36987844,0.3617122,0.35083523,0.33952954,0.3321871,0.33258316,0.3368036,0.3331052,0.30708638,0.25630385,0.19190253,0.13412727,0.09760054,0.08906073,0.10619271,0.14182921,0.18389331,0.2205413,0.24488854,0.2563393,0.26017264,0.2675741,0.29815423,0.366982,0.4679351,0.5641168,0.6122826,0.59292,0.5270697,0.45844233,0.4291457,0.45774588,0.53276867,0.6154778,0.6608731,0.6448246,0.5786619,0.49813926,0.43662468,0.4077737,0.4027731,0.40311602,0.39229235,0.3666251,0.33282796,0.30381083,0.29160488,0.30948234,0.3659979,0.4560802,0.5523262,0.6185668,0.6336449,0.6053298,0.5599595,0.5208351,0.4975704,0.48747826,0.4845084,0.483036,0.48177704,0.4810051,0.48298955,0.4897727,0.5089372,0.54798263,0.6057322,0.6605637,0.68180126,0.65167075,0.581516,0.5027987,0.44433144,0.416607,0.41038898,0.40727696,0.3907841,0.35599127,0.309944,0.26552036,0.23131253,0.2091555,0.19610454,0.19048317,0.19076888,0.19597681,0.20264082,0.20875613,0.21439908,0.22368574,0.24135785,0.2674148,0.29494405,0.3111526,0.3077485,0.2845894,0.2511075,0.21696652,0.18863116,0.16779532,0.15521257,0.15167755,0.15719007,0.16967957,0.18471515,0.1980449,0.20719768,0.21281202,0.21545751,0.21484022,0.20883904,0.19786541,0.18432124,0.17229666,0.16395958,0.16077544,0.16417903,0.17446996,0.18826646,0.1977585,0.1963586,0.18276948,0.16217253,0.14084671,0.12278827,0.10858598,0.09759119,0.089058764,0.08251453,0.07739126,0.073015116,0.068763606,0.064391434,0.060204264,0.056884054,0.05501765,0.054548208,0.054710522,0.05469494,0.056755636,0.06712112,0.094353534,0.1370076,0.18020089,0.19880046,0.18166924,0.13861479,0.09713113,0.077430815,0.08516725,0.11189201,0.1470607,0.18041927,0.20489873,0.2166589,0.21684866,0.20858872,0.19669302,0.18885775,0.19497699,0.21986496,0.25579926,0.28704062,0.30143192,0.2993904,0.28923085,0.27890348,0.27062932,0.2635069,0.25688034,0.25242603,0.25244236,0.2578774,0.2679079,0.28176057,0.30030712,0.3223133,0.34240782,0.35084927,0.34264362,0.31917188,0.28789064,0.2549391,0.22683609,0.21048848,0.21169312,0.22819553,0.24912834,0.262538,0.2642679,0.25947562,0.25622085,0.25907502,0.26711202,0.27656755,0.28393996,0.28805554,0.2895274,0.2897567,0.28921497,0.28801882,0.28589234,0.283314,0.2803013,0.27665123,0.271533,0.2648728,0.25741243,0.25050277,0.24494462,0.24061303,0.23655134,0.23173441,0.22538386,0.2175195,0.20869108,0.20012152,0.19276805,0.18715328,0.18287097,0.1793312,0.17609607,0.17310281,0.17039847,0.16815116,0.16686004,0.1669497,0.16788821,0.16820951,0.166467,0.16250283,0.15630423,0.14735866,0.13453309,0.11979353,0.10902521,0.111071885,0.13032885,0.16349816,0.19952905,0.22821756,0.24443753,0.24862678,0.24108152,0.22215801,0.1942292,0.16451705,0.14072444,0.12873273,0.13093728,0.14802355,0.17673917,0.20948625,0.23693585,0.2533443,0.25913075,0.25858286,0.25684404,0.25737798,0.26167753,0.2687544,0.2765861,0.2831254,0.28773043,0.2900894,0.2898743,0.2864658,0.28078833,0.27548686,0.27405813,0.27784523,0.28537816,0.29321837,0.29878756,0.30122212,0.3012307,0.3001579,0.2996319,0.30123925,0.30569744,0.31251803,0.32014823,0.32693043,0.3315517,0.33380863,0.33470857,0.33657563,0.34107694,0.3481845,0.3554685,0.36054036,0.36237216,0.36195573,0.3603569,0.3573028,0.3516256,0.34328163,0.33520886,0.33127332,0.3329589,0.33665106,0.33610675,0.3264232,0.3076338,0.28402257,0.26168236,0.24495417,0.23492002,0.2292863,0.22460191,0.218053,0.2091514,0.19938286,0.19182003,0.18935288,0.1933402,0.20208494,0.21127295,0.21592791,0.21297151,0.2025658,0.18716216,0.16987371,0.15305452,0.13837059,0.12697282,0.11939489,0.11500526,0.11217237,0.1095869,0.10776141,0.109485835,0.11822789,0.1360294,0.16086149,0.1871307,0.20702517,0.21584882,0.21329206,0.20406318,0.19285955,0.18277557,0.1738107,0.16552939,0.15796758,0.15274997,0.1513325,0.1541993,0.15982978,0.1663454,0.17194957,0.17516333,0.17429285,0.1682388,0.15829426,0.14761555,0.1403125,0.13905226,0.14584811,0.16027988,0.17962773,0.19745682,0.2082904,0.2099094,0.20546524,0.19921696,0.19418848,0.19061445,0.18770583,0.18460359,0.1809391,0.17662717,0.17189719,0.16708337,0.16246115,0.15793073,0.153105,0.14771438,0.14204247,0.13717686,0.13416296,0.13363248,0.13523531,0.13874684,0.14350186,0.14841501,0.15124428,0.1503173,0.1453618,0.1368882,0.12527388,0.11163645,0.10142061,0.102707185,0.12146833,0.15432699,0.19121407,0.22093292,0.23909216,0.24762575,0.253041,0.2620803,0.2789375,0.30233184,0.32501128,0.33796152,0.33553627,0.31887195,0.29382488,0.2676482,0.24618752,0.23260276,0.22698791,0.22647525,0.22735174,0.22644271,0.22218005,0.21374016,0.20199065,0.18932725,0.17959471,0.17502292,0.1761682,0.18136223,0.18964285,0.19993925,0.2147324,0.23811431,0.27484024,0.3214408,0.36680007,0.3965653,0.40412465,0.39164373,0.36610064,0.3330882,0.29620102,0.25840777,0.22332196,0.19514382,0.17849953,0.17637317,0.18766141,0.20539908,0.22061859,0.22690986,0.22370638,0.21357602,0.19902168,0.18161464,0.16463524,0.1559285,0.16517301,0.19695985,0.24448818,0.2917977,0.32466915,0.33871782,0.3406075,0.3378978,0.33374166,0.32393995,0.30485722,0.2772139,0.24990243,0.23424464,0.2395309,0.26941058,0.32473528,0.40403545,0.4986473,0.5872757,0.6416574,0.6446996,0.60394347,0.5465744,0.49877658,0.47150207,0.45991126,0.45497704,0.44962713,0.44263697,0.43449727,0.42746714,0.42220438,0.42075777,0.42395568,0.43066844,0.4338975,0.4262559,0.40628338,0.3818023,0.36566147,0.36941978,0.4031271,0.46800828,0.55184597,0.62286025,0.6508899,0.62533575,0.5675186,0.508749,0.47157368,0.4580696,0.46007827,0.46742526,0.47267112,0.47100985,0.46091416,0.44498995,0.4275789,0.41210663,0.39913836,0.3878006,0.37691638,0.3661356,0.3553165,0.34570417,0.34010676,0.34396538,0.35986176,0.383546,0.3994918,0.39200795,0.35506475,0.3019428,0.25306234,0.22418113,0.2154427,0.2186235,0.2256062,0.2356628,0.25318632,0.28000656,0.31198835,0.3421674,0.37400857,0.42015207,0.4894623,0.56698316,0.6205242,0.62463164,0.58273625,0.5233547,0.48044935,0.47674942,0.5139497,0.5718114,0.61402583,0.61068434,0.55723304,0.4792637,0.4114175,0.3769045,0.3754089,0.39009193,0.39775553,0.3833369,0.34609053,0.29916987,0.2612993,0.2497821,0.27786222,0.347183,0.44165668,0.5249946,0.5627544,0.54262584,0.4859027,0.42573476,0.3874303,0.3744018,0.3784108,0.38780752,0.3955724,0.39910147,0.39931324,0.39939225,0.40077233,0.40394807,0.40685606,0.4086332,0.4079242,0.4044162,0.39802375,0.39007175,0.38417098,0.3848031,0.39449883,0.4074211,0.4104142,0.39091524,0.3493699,0.29943812,0.25733358,0.22993135,0.21489175,0.2077896,0.20674574,0.21104659,0.21959282,0.2314298,0.24819082,0.27441853,0.31904146,0.388008,0.47665897,0.5604114,0.6093979,0.607065,0.56674373,0.51781905,0.48509064,0.47389898,0.47560942,0.47997424,0.48190486,0.48183504,0.48165843,0.4836761,0.48870122,0.49562836,0.49835098,0.4868035,0.45076156,0.38994828,0.31753618,0.25645968,0.22666718,0.2390066,0.2935717,0.38062167,0.47770488,0.5539443,0.5854259,0.5709259,0.5316521,0.49317768,0.46907356,0.4577287,0.45168892,0.44555816,0.43877563,0.43325815,0.43087527,0.43161872,0.43422064,0.43760514,0.4419568,0.4474982,0.45322752,0.4567553,0.45621732,0.45240903,0.44912314,0.4512633,0.45877394,0.46430716,0.45437858,0.42070618,0.36522886,0.3012586,0.24300517,0.20122893,0.17964001,0.17783494,0.19151168,0.21572624,0.24638201,0.27996406,0.31288016,0.34309253,0.37695977,0.42372024,0.4858607,0.54539317,0.5781242,0.57054466,0.5362223,0.5011089,0.48909917,0.5080529,0.5524397,0.60442835,0.6410126,0.6440442,0.6117857,0.5605077,0.5122863,0.4816054,0.46721128,0.45795593,0.44096425,0.41211665,0.37655595,0.3451968,0.3279884,0.33345687,0.36882147,0.43441907,0.5155984,0.58267874,0.6093394,0.5901208,0.5444305,0.49772584,0.46530578,0.4475884,0.44025972,0.44061044,0.44804868,0.45864877,0.4669864,0.47013554,0.47547984,0.49512562,0.5344385,0.57956773,0.60336757,0.58697313,0.53494334,0.4733096,0.42696086,0.40690532,0.40512738,0.405882,0.39294168,0.36115298,0.31768775,0.27891967,0.2575352,0.25592312,0.26655784,0.280022,0.28989735,0.29363203,0.29034886,0.28041592,0.2685227,0.2662612,0.29161572,0.35493854,0.44714198,0.5337016,0.5791289,0.5684485,0.5214618,0.46966887,0.4367119,0.42413726,0.4235166,0.42562053,0.42772415,0.43020248,0.43435636,0.440681,0.4488267,0.45707348,0.45994338,0.44955993,0.41872415,0.36772895,0.30370647,0.23990946,0.19273525,0.18388742,0.23113668,0.33323583,0.45700252,0.5525493,0.5850851,0.55884296,0.50716,0.4637723,0.44243753,0.43888322,0.44342518,0.4489596,0.45232758,0.45310286,0.45290303,0.45374158,0.45615232,0.4587358,0.45962384,0.45856944,0.45716295,0.4571387,0.4583412,0.45927015,0.45942304,0.45998743,0.4601984,0.4536499,0.4301925,0.38366184,0.31903818,0.2513834,0.19995488,0.17754279,0.18601905,0.2143312,0.2488032,0.2803631,0.3093656,0.33692575,0.36278424,0.38723925,0.42000452,0.47097167,0.537555,0.5953553,0.6172926,0.5941148,0.5443442,0.49864578,0.48173854,0.5014091,0.5467542,0.59302443,0.6117162,0.5886143,0.5326553,0.4712796,0.42948028,0.41573617,0.417874,0.41619954,0.3952576,0.35379377,0.2998779,0.24655537,0.20761102,0.2022192,0.24727754,0.34272924,0.4573392,0.54372805,0.56944174,0.53892154,0.4834076,0.4329649,0.4006077,0.38465664,0.38116705,0.38745382,0.40057436,0.41528296,0.42582,0.42981672,0.42786503,0.42277086,0.41531715,0.4058338,0.39459932,0.3845508,0.37872052,0.37871084,0.38406786,0.39326394,0.40382263,0.4104315,0.4069848,0.39007473,0.3629907,0.33310118,0.3076779,0.29003963,0.27983364,0.2747779,0.27266595,0.2729603,0.2760509,0.28256047,0.2940339,0.31631798,0.35971987,0.4288926,0.5119372,0.5787886,0.6023933,0.57787114,0.5284754,0.4839616,0.46212003,0.46022668,0.46726084,0.4737132,0.47787762,0.48130354,0.4855803,0.48992774,0.49299362,0.4932886,0.48824182,0.473207,0.4433287,0.3967195,0.33688894,0.2736642,0.22485,0.21461837,0.26143667,0.36152425,0.4800185,0.5701687,0.6014951,0.5792589,0.5323264,0.49011585,0.4665245,0.46075323,0.46589312,0.47402737,0.4794265,0.47917426,0.47383225,0.46586433,0.4578828,0.45164463,0.4478232,0.44623005,0.44631246,0.44723415,0.44805264,0.4477146,0.44639918,0.44474712,0.4419531,0.43294644,0.41137704,0.3741789,0.32634428,0.2785248,0.24304847,0.22753179,0.23179562,0.24812599,0.26694623,0.28412226,0.3007711,0.31810603,0.33086085,0.3330609,0.32599658,0.32099423,0.32827187,0.34564483,0.35953304,0.35729074,0.33858445,0.31493244,0.29992855,0.30086112,0.31467998,0.33330882,0.34764066,0.35377964,0.35186824,0.34634387,0.34183046,0.3419617,0.3454206,0.34679723,0.3386334,0.31879747,0.2923162,0.26963723,0.25901994,0.26408,0.28349736,0.3126941,0.34266397,0.3623053,0.36362442,0.34732506,0.32083026,0.2929215,0.26854083,0.24944323,0.23515,0.2251442,0.21906514,0.21725689,0.21909462,0.22158702,0.22166157,0.21869649,0.21649997,0.21809518,0.22347486,0.22839855,0.22927777,0.22498892,0.21799771,0.2122518,0.21091513,0.21375309,0.2162633,0.21229585,0.19769935,0.17386293,0.14667358,0.12486083,0.11543438,0.121361755,0.13843258,0.15683867,0.16516878,0.15742524,0.1379091,0.1203802,0.12175091,0.15054636,0.20130253,0.2554333,0.29464555,0.3100079,0.30600676,0.292012,0.27594724,0.2607523,0.2472199,0.2363683,0.22996497,0.22859019,0.23003434,0.22995426,0.22508077,0.214563,0.19854032,0.1761133,0.14673427,0.113637455,0.08324512,0.062420238,0.055190098,0.06481836,0.09196558,0.13308667,0.17716265,0.21330404,0.23670673,0.2517856,0.26401556,0.27481782,0.28105566,0.2802578,0.27308306,0.26251355,0.25151557,0.24183778,0.23382623,0.22701102,0.221075,0.21644098,0.21359487,0.21103732,0.20454212,0.18944491,0.16552474,0.13988315,0.12427885,0.1273445,0.14795989,0.17500515,0.1947099,0.19877052,0.18755764,0.16705595,0.14446536,0.12639213,0.118579276,0.124216676,0.14119788,0.16075712,0.17188662,0.16713955,0.1492175,0.12976244,0.12463788,0.14202054,0.17708702,0.21219094,0.23025376,0.22416025,0.20116818,0.17408705,0.15371722,0.14365529,0.1427325,0.1474629,0.15452091,0.1607989,0.16480076,0.16686158,0.16972315,0.17452085,0.1784877,0.17429192,0.15785839,0.13413481,0.11749789,0.12111324,0.14795075,0.18891545,0.23050278,0.26180807,0.2777764,0.278596,0.26893613,0.2556083,0.24422242,0.23647274,0.2312453,0.2269575,0.2231328,0.21943866,0.21530555,0.21016945,0.20470405,0.20065407,0.19979031,0.20206136,0.2052896,0.2061313,0.20203657,0.19183171,0.17650126,0.15924348,0.14653319,0.14456691,0.15556537,0.17338187,0.18790275,0.19042172,0.17949466,0.15874802,0.13484317,0.11470755,0.10604685,0.11348128,0.13513619,0.15986623,0.17341654,0.16689835,0.14439596,0.12115965,0.1152632,0.13599317,0.17802262,0.2241215,0.2568133,0.26799288,0.2618293,0.2478069,0.2340839,0.22402407,0.2177868,0.21414913,0.21155839,0.20882885,0.20586593,0.20431705,0.20647977,0.21172112,0.2141637,0.20430408,0.17703347,0.13653167,0.09491262,0.064581946,0.053822637,0.06747156,0.106030464,0.1636009,0.22493243,0.27358985,0.2995868,0.30546463,0.29966176,0.2906978,0.2821904,0.27490863,0.2682562,0.26220953,0.2569145,0.25269094,0.2492562,0.24611323,0.24271135,0.23916966,0.23590194,0.23335646,0.23117657,0.22832055,0.22369188,0.21787481,0.21451664,0.21801227,0.22975089,0.24412577,0.25287333,0.25038287,0.23872137,0.22353852,0.209356,0.19601715,0.18109775,0.16371165,0.14737631,0.1383138,0.1409565,0.15444289,0.17499225,0.20203906,0.23943873,0.29026386,0.34741864,0.39570808,0.41934124,0.4140328,0.38650146,0.34994557,0.3148526,0.2864523,0.2647409,0.24808754,0.234931,0.22420947,0.21428657,0.20447885,0.1964918,0.19493312,0.20278691,0.21774323,0.23115444,0.2331469,0.21858728,0.1909349,0.16074301,0.13981037,0.13475621,0.14328893,0.156312,0.16315174,0.15781595,0.14162447,0.12254932,0.11048552,0.11201829,0.1267721,0.14826314,0.16869164,0.18340202,0.19248722,0.19796102,0.20136648,0.20281999,0.20262963,0.2024114,0.20568375,0.21674651,0.23845465,0.26863936,0.29854858,0.3152608,0.30848026,0.27836236,0.23754478,0.2064188,0.19964033,0.2176308,0.24506004,0.2634643,0.2621223,0.24342759,0.21770428,0.19589166,0.18490762,0.18533127,0.19548024,0.21654172,0.25901785,0.33222967,0.43146574,0.5264917,0.5832886,0.5851707,0.54916185,0.5039994,0.4716121,0.4538741,0.4441956,0.437067,0.43308207,0.43575752,0.44646868,0.4637641,0.48319766,0.49995112,0.50683546,0.49411967,0.45362535,0.3875084,0.31289288,0.25368014,0.22878236,0.24621196,0.30357686,0.38831535,0.47466913,0.5339268,0.5498908,0.5314393,0.50159985,0.47989762,0.470911,0.46939322,0.46934888,0.46908328,0.46962366,0.47233656,0.47700953,0.48270714,0.487892,0.49159384,0.49275795,0.49108115,0.48708406,0.48251912,0.47933933,0.47923264,0.48388243,0.49408254,0.50586194,0.50715256,0.48261142,0.4264677,0.35104892,0.27966642,0.22951315,0.20259745,0.19139935,0.190202,0.1985548,0.2185393,0.24965835,0.28733078,0.3241683,0.3562871,0.3890487,0.43094644,0.48122397,0.5208282,0.5278757,0.49517825,0.44077113,0.39311993,0.37697157,0.40003213,0.4521629,0.50592524,0.53175014,0.51364905,0.4622979,0.40457442,0.36789894,0.36269513,0.38054404,0.3975987,0.38929692,0.34496066,0.27601436,0.20931222,0.17198986,0.18390249,0.24924152,0.35449126,0.4618763,0.53032595,0.53702706,0.49644184,0.44200823,0.40195933,0.38328123,0.37850025,0.3794638,0.38213193,0.38676274,0.3921779,0.3972133,0.3992299,0.39832783,0.39563966,0.39445028,0.39551806,0.39735305,0.39551413,0.38723937,0.374225,0.36460003,0.36762273,0.38483182,0.4036999,0.40472162,0.37600324,0.32487318,0.27091542,0.23239076,0.21405457,0.21058631,0.21313977,0.21661301,0.22089589,0.22996838,0.24902694,0.2810639,0.32695138,0.38684586,0.45807382,0.5303714,0.5837884,0.60131806,0.5809417,0.54039025,0.50189155,0.47911206,0.4715413,0.47257182,0.47628435,0.48038805,0.48432145,0.4875823,0.48926994,0.4885961,0.48427472,0.47303143,0.44936433,0.40965688,0.35743773,0.303768,0.2630672,0.24786174,0.26904288,0.32950944,0.41860518,0.506287,0.561265,0.5684523,0.5409844,0.5032303,0.47480878,0.46035206,0.4568034,0.45916593,0.4640156,0.46831036,0.47021222,0.4694241,0.4674816,0.46599135,0.4658229,0.4663929,0.46650407,0.46504214,0.46190682,0.45854676,0.45740137,0.46131906,0.46987024,0.4782455,0.47574583,0.4535774,0.40887535,0.3500402,0.2899875,0.24215214,0.21343511,0.20397365,0.20839532,0.2211922,0.24152581,0.27043816,0.3057795,0.33975458,0.36888394,0.40078175,0.44800234,0.51031256,0.56697345,0.59258914,0.5775714,0.5378608,0.49951324,0.48550332,0.5012062,0.53701764,0.5678171,0.57213086,0.54247457,0.49528572,0.45332488,0.43257877,0.43057168,0.43384323,0.425252,0.39444378,0.34173885,0.27810332,0.22090073,0.18929599,0.20187724,0.26573744,0.36825106,0.4730806,0.54281574,0.5590303,0.53432375,0.49443856,0.46132836,0.44237494,0.43633628,0.43932593,0.4482632,0.46012747,0.47087976,0.47785196,0.48234645,0.49309787,0.5172669,0.55252796,0.5794632,0.5781784,0.54223686,0.48912337,0.4437805,0.4241544,0.4295093,0.44593814,0.45336208,0.43784502,0.3987297,0.34983945,0.30789006,0.28033856,0.26187995,0.24245347,0.21725607,0.18971777,0.16888614,0.16284393,0.1757791,0.20733571,0.2581678,0.3290502,0.41614524,0.5014448,0.5595775,0.5733337,0.54909354,0.51028275,0.4796904,0.46534386,0.46263072,0.46411142,0.46585754,0.46713576,0.46718422,0.46473262,0.458757,0.44990182,0.43792513,0.42009947,0.3909869,0.34876847,0.29884952,0.25348487,0.22571029,0.22601871,0.26179,0.3315166,0.41974524,0.49493527,0.5303266,0.5193367,0.48395753,0.45144698,0.43850276,0.44153693,0.450449,0.4568886,0.45952463,0.45954624,0.45823252,0.4557904,0.45232534,0.4489106,0.44706023,0.44793668,0.4510781,0.45534626,0.45940077,0.46298933,0.46604005,0.4684854,0.46635962,0.45094195,0.41119242,0.34507298,0.26589277,0.19758463,0.158136,0.14833869,0.15502137,0.16381258,0.16973917,0.17736141,0.19557405,0.22711556,0.26618582,0.30110943,0.33110845,0.36634788,0.41911042,0.4799663,0.52370125,0.5275137,0.49480537,0.45004794,0.4211855,0.4247752,0.45943093,0.50956535,0.5471551,0.55030304,0.5134968,0.4561468,0.40404436,0.37721696,0.37672034,0.3898122,0.39461002,0.37435734,0.3279964,0.27247992,0.23281729,0.22825587,0.26820597,0.3469276,0.44342196,0.52143097,0.5529106,0.53377205,0.48984054,0.44981837,0.42931172,0.42364535,0.42341566,0.42049184,0.4123956,0.3990506,0.38297424,0.3677508,0.35645294,0.35179472,0.35461572,0.3634275,0.37228167,0.37498417,0.3699094,0.36230794,0.36043248,0.3686321,0.38439012,0.3979287,0.39783552,0.37741196,0.3404491,0.2988757,0.26474634,0.24255984,0.22831671,0.21490228,0.19801755,0.179573,0.1661602,0.16530396,0.18178797,0.21733455,0.27376333,0.35088217,0.44177106,0.52594376,0.57916707,0.5878706,0.5613365,0.5226014,0.49207476,0.47641233,0.47102332,0.46918797,0.467167,0.46504894,0.46380007,0.46403924,0.46517122,0.4659041,0.4623479,0.44818237,0.41685733,0.3688227,0.31321183,0.2650895,0.23822445,0.24356174,0.28649756,0.3612838,0.446043,0.5108028,0.53770375,0.53216773,0.5157719,0.5055625,0.505287,0.5089312,0.51125234,0.51077104,0.5086268,0.5058005,0.5022029,0.49679896,0.48866382,0.478585,0.46898794,0.46242523,0.45956373,0.45972,0.462034,0.46677697,0.47434106,0.48417333,0.49221134,0.49010897,0.46736518,0.4189504,0.3517863,0.28337005,0.23113811,0.20151727,0.1882488,0.18033086,0.17251025,0.16954581,0.18163003,0.21304528,0.25730655,0.3018695,0.34501728,0.3943332,0.45685327,0.51726264,0.5515857,0.54377466,0.5072729,0.46920547,0.45583013,0.4760046,0.522237,0.57264584,0.60075027,0.59144086,0.55044705,0.501456,0.46675125,0.45590952,0.46132025,0.46714342,0.4560765,0.41943976,0.36079374,0.29623255,0.24753648,0.23609185,0.2741659,0.35746002,0.46065745,0.54826254,0.59376293,0.59475154,0.5689726,0.53768295,0.51200324,0.49160042,0.4731852,0.45697382,0.4476119,0.4477946,0.45551613,0.46483806,0.475639,0.49345383,0.52353674,0.555981,0.5694031,0.5461835,0.4916048,0.43154898,0.3939785,0.3905383,0.41104555,0.43274918,0.43364203,0.4060721,0.36050966,0.31632027,0.28714368,0.27235308,0.26389086,0.25477934,0.24454917,0.23545758,0.22932263,0.22451551,0.21637131,0.20106173,0.18059719,0.1646807,0.16291934,0.17630471,0.1942244,0.20321818,0.1963404,0.1767509,0.15284024,0.13206707,0.11736261,0.108361624,0.10391643,0.10564566,0.11579577,0.1351297,0.15869029,0.18007578,0.1934378,0.19705892,0.18992524,0.17291267,0.14851455,0.12237539,0.100403614,0.087699175,0.087955624,0.10267206,0.12853251,0.15648644,0.17712556,0.18684696,0.18985723,0.191508,0.19290541,0.18983226,0.17857577,0.15962152,0.1390159,0.12506323,0.12490591,0.14010692,0.16551052,0.19148238,0.21029443,0.21993452,0.2234034,0.22286075,0.21653958,0.20088841,0.17648046,0.15126453,0.13548668,0.13459034,0.14387928,0.15379901,0.15663368,0.15170108,0.14247368,0.13281621,0.12487915,0.11995852,0.118524544,0.11934564,0.11868616,0.11279401,0.10109534,0.08977761,0.08951414,0.10954735,0.14908169,0.19633716,0.23533498,0.25686896,0.26211914,0.25847387,0.25187442,0.24446917,0.23585431,0.22604096,0.2150556,0.20277184,0.18809927,0.17083824,0.15247086,0.13716917,0.13004805,0.13436712,0.1488717,0.16736972,0.18273644,0.1904156,0.19082308,0.18618084,0.17822878,0.16680986,0.15206154,0.13557942,0.11994218,0.10681952,0.09578037,0.08547487,0.07570914,0.069179535,0.069820635,0.079487525,0.095114976,0.11047418,0.1203984,0.12408344,0.124081396,0.12323147,0.12279606,0.122924566,0.12371091,0.12512328,0.1264013,0.12664546,0.12614025,0.12747951,0.13316835,0.14341205,0.15438849,0.16210477,0.16476834,0.16435336,0.16327165,0.16293687,0.1632397,0.16358125,0.16282499,0.15868795,0.14875667,0.13209926,0.11130148,0.09200264,0.08154401,0.08595782,0.10669496,0.13832957,0.17005295,0.19191481,0.20030457,0.19894521,0.19406909,0.19004577,0.18807833,0.18783903,0.18909375,0.19194692,0.19639264,0.20189935,0.2073918,0.21205543,0.21513815,0.21637182,0.2151414,0.21179567,0.2073071,0.20370007,0.2024944,0.20471297,0.2106369,0.21958059,0.2292707,0.23576033,0.23571856,0.2283441,0.21633224,0.20363073,0.193368,0.18642302,0.18227826,0.17998356,0.17906606,0.1793017,0.18049903,0.1821344,0.183737,0.18513884,0.186796,0.1892551,0.19277807,0.19690625,0.2009662,0.20449024,0.20768167,0.2111038,0.21480037,0.217876,0.21865217,0.21639495,0.21179639,0.20686041,0.2029679,0.20025812,0.19758113,0.19385122,0.18868119,0.18278657,0.17720939,0.17290737,0.17055275,0.17164159,0.17929392,0.1971296,0.22576933,0.25960442,0.2885507,0.30398366,0.30430815,0.29452005,0.28143397,0.26948515,0.25992635,0.2525515,0.2466389,0.24188697,0.23801701,0.23542027,0.23429494,0.23499095,0.23691851,0.23894511,0.23915444,0.23618537,0.22962622,0.22023867,0.20979291,0.20158799,0.20072676,0.21174254,0.23472504,0.26310828,0.28698587,0.2992115,0.29925504,0.29175195,0.28217423,0.27395207,0.2680044,0.26386055,0.26031187,0.2562193,0.25108352,0.24569543,0.24160536,0.24007505,0.24113686,0.24382569,0.24719353,0.25069794,0.25405565,0.25663033,0.25801137,0.25824046,0.25811768,0.25809368,0.25830647,0.25807202,0.25692955,0.25416777,0.24944754,0.24198987,0.2311858,0.21678255,0.19980784,0.18230765,0.16630375,0.15483773,0.15426321,0.17812233,0.2387421,0.33656564,0.44692603,0.5349321,0.5738942,0.5674491,0.53758115,0.50982636,0.494545,0.49143568,0.4941361,0.4979484,0.49907938,0.49590555,0.48881724,0.48108852,0.47660208,0.4758542,0.47302857,0.45922974,0.43024766,0.3920392,0.35659313,0.33561102,0.33671153,0.36600173,0.4229834,0.49487177,0.5546544,0.5783232,0.56074554,0.5203691,0.4820048,0.4605802,0.45532787,0.45791325,0.46143115,0.46388912,0.46711186,0.47288433,0.4809134,0.48781002,0.49003753,0.48628762,0.47883406,0.47125962,0.4667263,0.4663619,0.4700426,0.47658205,0.48488784,0.4916693,0.48973307,0.46859625,0.42355248,0.36334395,0.3073768,0.27124214,0.25620124,0.25471196,0.2609836,0.27533624,0.2958743,0.31826818,0.3365654,0.3509997,0.36215198,0.37708092,0.40355542,0.45043817,0.5084982,0.5559773,0.56870514,0.5452202,0.5045096,0.47492597,0.47466025,0.50460714,0.5485119,0.58066314,0.5811686,0.5465355,0.493183,0.44351542,0.4143735,0.406358,0.40844643,0.4043161,0.38594735,0.35696638,0.3299758,0.3162165,0.32312644,0.35558048,0.413728,0.48516533,0.5434565,0.56395745,0.54207677,0.49683416,0.45379758,0.4271545,0.41560724,0.4104133,0.4047279,0.3970797,0.39006522,0.38765895,0.39069328,0.3979318,0.4067773,0.41668049,0.42518893,0.42687225,0.41604814,0.39258814,0.36587557,0.3475071,0.34700167,0.36144748,0.3792396,0.3811094,0.356643,0.30820143,0.25233668,0.20530826,0.17815684,0.17545296,0.19904198,0.24375403,0.29378834,0.3277701,0.3322462,0.31366208,0.2945912,0.30287862,0.3518374,0.43431163,0.519954,0.57644814,0.58423346,0.55099785,0.4995174,0.45407775,0.42610756,0.41473404,0.41276443,0.41395164,0.41664112,0.42219874,0.4323186,0.44601986,0.4603409,0.4694914,0.46720517,0.44819495,0.41448435,0.37388834,0.33734342,0.31350756,0.3115257,0.34014726,0.4007466,0.47805968,0.54311913,0.57101375,0.5566726,0.51708835,0.4764433,0.4517276,0.4451925,0.4497168,0.45592728,0.4589056,0.45808628,0.45589638,0.45459637,0.45566666,0.45873657,0.46237278,0.4643542,0.4637787,0.46131587,0.4590906,0.45904014,0.46237803,0.4688327,0.47321224,0.4642221,0.4274931,0.35840502,0.2681183,0.18081963,0.117671795,0.08860487,0.09040753,0.11450537,0.15027136,0.19019783,0.22949159,0.26555505,0.29479793,0.31629515,0.33883095,0.37575388,0.43176517,0.48713657,0.5148229,0.5006985,0.46244177,0.42971027,0.42722514,0.4578077,0.5088064,0.55587965,0.57594085,0.5577993,0.5107585,0.4585056,0.4234588,0.41539875,0.42847204,0.4492804,0.4633157,0.4632002,0.44845843,0.4247309,0.40015662,0.3872117,0.3991966,0.44107187,0.49803996,0.5414031,0.54786897,0.5182192,0.4738061,0.4387246,0.42404535,0.42643222,0.43728587,0.44990203,0.46269068,0.47492626,0.48548904,0.4926525,0.500725,0.5175159,0.5474102,0.5791696,0.59286195,0.5742356,0.53050697,0.48293123,0.45191142,0.44302928,0.44809982,0.4516352,0.4388466,0.40286633,0.34911668,0.29364622,0.25273654,0.23344858,0.23067383,0.23372938,0.23368151,0.22766687,0.21790576,0.20860432,0.20584601,0.21863419,0.26038206,0.33738396,0.4391717,0.5328012,0.585774,0.5845702,0.5476077,0.5038884,0.47610912,0.46684328,0.46844593,0.47119415,0.47101724,0.4680526,0.4644741,0.4625723,0.46405602,0.47006783,0.47809806,0.48130393,0.46987537,0.43964195,0.39559326,0.352319,0.32567382,0.32971132,0.36883578,0.43515226,0.50449526,0.54940224,0.5547052,0.5282402,0.49234787,0.46605766,0.45561886,0.45560125,0.45898286,0.46116695,0.46167624,0.4619451,0.4639461,0.46807945,0.47210634,0.47278476,0.468641,0.46158,0.45561635,0.454208,0.4580408,0.46496105,0.4719013,0.47700515,0.47763088,0.4675884,0.43854642,0.3896635,0.3327842,0.2862817,0.26001373,0.251363,0.252044,0.25856808,0.2703472,0.28734136,0.30720234,0.32850802,0.34869638,0.367856,0.39227948,0.43213877,0.48775434,0.5373144,0.5502375,0.51023716,0.43320146,0.35172334,0.29337105,0.26409006,0.2543968,0.2506694,0.24451421,0.23405196,0.22135735,0.20915906,0.19981988,0.19627763,0.20331986,0.22378135,0.2546344,0.28556052,0.30616733,0.3120103,0.3063116,0.29448965,0.27904376,0.2585127,0.23029429,0.19588107,0.16259384,0.14093007,0.13730389,0.1496502,0.16916426,0.18667477,0.19732083,0.20123434,0.20176406,0.20366617,0.2104969,0.22241135,0.2359454,0.24856643,0.2599143,0.2715719,0.28050208,0.28303972,0.27552983,0.26012823,0.23855428,0.2139871,0.19030704,0.17421843,0.16976924,0.17386334,0.17835687,0.1759309,0.16573524,0.15241593,0.14320755,0.14339225,0.15344013,0.16838287,0.18117858,0.18771257,0.19219045,0.20853432,0.25585452,0.34273735,0.45449606,0.55268604,0.60064125,0.5862816,0.53124756,0.46943322,0.4265158,0.40740725,0.404376,0.4067943,0.409163,0.41068518,0.41321853,0.41870186,0.42836305,0.44065973,0.4496524,0.44618776,0.4242235,0.38696373,0.34597912,0.31535795,0.3060162,0.3270044,0.38036838,0.45644772,0.5272766,0.5646445,0.5559152,0.5168161,0.47258368,0.44292274,0.43048075,0.43008408,0.43481466,0.44072413,0.4455174,0.44820574,0.4491067,0.44896948,0.44880965,0.44864345,0.4483179,0.4470516,0.4450053,0.44245115,0.44078442,0.44153836,0.4468788,0.45503548,0.45728755,0.43766925,0.3848449,0.30224845,0.21075517,0.13481757,0.090336986,0.07972081,0.09671962,0.13050307,0.16678075,0.19216822,0.19839881,0.1873797,0.16673957,0.14598848,0.130981,0.12448001,0.12554556,0.13078009,0.13523185,0.13460536,0.12731726,0.11428028,0.09833392,0.08219571,0.06817488,0.05712949,0.048988756,0.042807568,0.03774042,0.03327849,0.029364752,0.0260503,0.023306638,0.020985285,0.018899081,0.016925361,0.015011345,0.013189573,0.011515577,0.0100727705,0.0088935,0.007951835,0.0071328697,0.0063101356,0.0054127723,0.0044738255,0.0035920588,0.0028514678,0.0022729666,0.0018144689,0.001425132,0.0010865437,0.0008318275,0.0007163639]