[0.251,0.244,0.229,0.211,0.196,0.186,0.183,0.185,0.188,0.188,0.18,0.167,0.15,0.136,0.126,0.122,0.122,0.121,0.12,0.118,0.116,0.114,0.111,0.108,0.106,0.105,0.108,0.113,0.119,0.123,0.127,0.13,0.135,0.14,0.14,0.136,0.131,0.127,0.128,0.133,0.139,0.142,0.142,0.14,0.136,0.132,0.126,0.119,0.113,0.111,0.116,0.125,0.131,0.128,0.111,0.085,0.057,0.034,0.019,0.01,0.006,0.006,0.01,0.022,0.044,0.074,0.105,0.129,0.143,0.149,0.15,0.151,0.153,0.155,0.158,0.162,0.166,0.168,0.168,0.166,0.164,0.165,0.17,0.178,0.186,0.194,0.201,0.207,0.209,0.207,0.2,0.193,0.187,0.185,0.185,0.185,0.183,0.178,0.169,0.158,0.147,0.137,0.131,0.127,0.126,0.125,0.126,0.127,0.128,0.129,0.129,0.13,0.134,0.141,0.149,0.155,0.156,0.153,0.151,0.15,0.149,0.145,0.138,0.128,0.12,0.116,0.117,0.124,0.134,0.146,0.159,0.167,0.169,0.163,0.154,0.145,0.139,0.137,0.137,0.135,0.127,0.111,0.087,0.061,0.038,0.021,0.011,0.007,0.006,0.006,0.009,0.015,0.024,0.035,0.047,0.061,0.079,0.1,0.12,0.135,0.145,0.157,0.179,0.211,0.243,0.261,0.261,0.249,0.237,0.233,0.233,0.233,0.229,0.225,0.227,0.235,0.248,0.261,0.268,0.27,0.266,0.264,0.267,0.275,0.278,0.27,0.245,0.208,0.172,0.151,0.153,0.178,0.213,0.246,0.267,0.274,0.27,0.258,0.239,0.219,0.206,0.206,0.216,0.227,0.229,0.223,0.217,0.217,0.224,0.234,0.247,0.26,0.27,0.268,0.255,0.238,0.225,0.224,0.229,0.237,0.246,0.258,0.27,0.279,0.282,0.281,0.275,0.265,0.249,0.23,0.213,0.208,0.214,0.223,0.226,0.215,0.194,0.172,0.16,0.159,0.166,0.178,0.195,0.217,0.241,0.263,0.276,0.276,0.263,0.24,0.216,0.202,0.207,0.231,0.263,0.289,0.301,0.298,0.287,0.276,0.27,0.271,0.276,0.281,0.284,0.285,0.285,0.284,0.283,0.282,0.282,0.282,0.28,0.273,0.257,0.23,0.192,0.15,0.112,0.087,0.078,0.089,0.121,0.167,0.21,0.237,0.243,0.236,0.23,0.235,0.248,0.265,0.279,0.283,0.277,0.262,0.246,0.238,0.24,0.249,0.259,0.264,0.264,0.263,0.266,0.274,0.284,0.292,0.291,0.28,0.256,0.224,0.19,0.159,0.135,0.116,0.099,0.081,0.064,0.05,0.041,0.035,0.031,0.027,0.024,0.023,0.023,0.025,0.032,0.049,0.08,0.12,0.16,0.189,0.204,0.21,0.216,0.222,0.224,0.218,0.206,0.195,0.192,0.194,0.198,0.209,0.237,0.294,0.374,0.45,0.494,0.495,0.469,0.438,0.421,0.42,0.43,0.438,0.43,0.396,0.34,0.275,0.22,0.188,0.178,0.183,0.189,0.19,0.182,0.17,0.158,0.152,0.163,0.204,0.276,0.365,0.443,0.486,0.49,0.471,0.45,0.445,0.46,0.488,0.507,0.494,0.441,0.366,0.302,0.278,0.306,0.373,0.447,0.493,0.497,0.468,0.433,0.416,0.428,0.463,0.499,0.507,0.471,0.397,0.309,0.235,0.194,0.183,0.191,0.202,0.204,0.201,0.201,0.207,0.217,0.228,0.244,0.279,0.34,0.415,0.474,0.498,0.489,0.466,0.452,0.458,0.486,0.527,0.562,0.574,0.56,0.535,0.516,0.513,0.527,0.546,0.555,0.547,0.526,0.506,0.496,0.499,0.509,0.52,0.524,0.513,0.483,0.433,0.37,0.302,0.238,0.184,0.144,0.119,0.105,0.098,0.094,0.093,0.094,0.106,0.142,0.213,0.316,0.423,0.503,0.54,0.544,0.538,0.541,0.558,0.579,0.581,0.549,0.482,0.405,0.347,0.327,0.347,0.396,0.451,0.493,0.513,0.515,0.513,0.517,0.53,0.547,0.558,0.551,0.514,0.448,0.367,0.3,0.273,0.299,0.365,0.441,0.498,0.515,0.49,0.433,0.359,0.288,0.241,0.235,0.28,0.363,0.45,0.512,0.537,0.539,0.538,0.55,0.573,0.596,0.604,0.592,0.568,0.55,0.549,0.565,0.587,0.6,0.591,0.558,0.51,0.464,0.428,0.406,0.395,0.393,0.393,0.386,0.362,0.319,0.265,0.219,0.194,0.196,0.211,0.227,0.235,0.238,0.242,0.249,0.251,0.25,0.258,0.294,0.36,0.432,0.482,0.495,0.483,0.471,0.475,0.496,0.525,0.54,0.527,0.483,0.421,0.36,0.322,0.321,0.361,0.423,0.477,0.499,0.483,0.449,0.421,0.418,0.438,0.469,0.483,0.462,0.403,0.327,0.259,0.215,0.194,0.188,0.185,0.181,0.176,0.172,0.175,0.185,0.197,0.216,0.251,0.312,0.393,0.469,0.514,0.521,0.506,0.492,0.497,0.521,0.553,0.574,0.571,0.549,0.52,0.502,0.502,0.517,0.537,0.549,0.545,0.53,0.514,0.508,0.509,0.511,0.508,0.494,0.464,0.416,0.352,0.284,0.226,0.186,0.165,0.156,0.151,0.147,0.14,0.132,0.121,0.111,0.11,0.135,0.199,0.296,0.4,0.479,0.515,0.52,0.515,0.52,0.54,0.563,0.566,0.527,0.442,0.33,0.222,0.145,0.104,0.095,0.102,0.111,0.116,0.112,0.104,0.096,0.093,0.096,0.102,0.105,0.101,0.087,0.068,0.046,0.029,0.021,0.026,0.048,0.088,0.141,0.196,0.242,0.273,0.29,0.293,0.29,0.287,0.289,0.296,0.302,0.299,0.286,0.269,0.256,0.25,0.249,0.248,0.241,0.226,0.21,0.207,0.235,0.298,0.385,0.464,0.506,0.501,0.467,0.425,0.394,0.374,0.362,0.349,0.326,0.291,0.241,0.186,0.137,0.104,0.09,0.089,0.094,0.105,0.122,0.147,0.177,0.206,0.23,0.257,0.301,0.366,0.44,0.496,0.519,0.51,0.49,0.481,0.493,0.52,0.542,0.532,0.481,0.404,0.337,0.309,0.334,0.399,0.474,0.526,0.541,0.521,0.487,0.46,0.453,0.463,0.48,0.486,0.47,0.432,0.382,0.331,0.29,0.258,0.233,0.211,0.191,0.177,0.173,0.179,0.19,0.2,0.212,0.24,0.296,0.377,0.455,0.502,0.508,0.488,0.47,0.473,0.499,0.536,0.561,0.561,0.539,0.509,0.491,0.495,0.517,0.544,0.562,0.562,0.546,0.527,0.513,0.506,0.501,0.494,0.483,0.464,0.435,0.396,0.351,0.307,0.274,0.256,0.253,0.257,0.259,0.255,0.245,0.229,0.214,0.208,0.227,0.28,0.366,0.46,0.532,0.564,0.563,0.55,0.546,0.56,0.582,0.592,0.568,0.504,0.415,0.338,0.304,0.324,0.388,0.472,0.542,0.577,0.574,0.553,0.534,0.53,0.538,0.549,0.547,0.52,0.469,0.406,0.356,0.338,0.358,0.404,0.457,0.497,0.513,0.495,0.446,0.381,0.323,0.292,0.302,0.353,0.429,0.5,0.545,0.558,0.551,0.543,0.547,0.562,0.581,0.59,0.587,0.57,0.553,0.543,0.55,0.569,0.589,0.592,0.57,0.526,0.477,0.437,0.414,0.406,0.406,0.409,0.407,0.398,0.381,0.359,0.334,0.312,0.296,0.288,0.283,0.274,0.257,0.238,0.229,0.239,0.264,0.303,0.357,0.425,0.492,0.534,0.536,0.507,0.475,0.463,0.48,0.515,0.542,0.531,0.473,0.382,0.296,0.25,0.264,0.324,0.405,0.469,0.496,0.486,0.459,0.436,0.433,0.449,0.476,0.49,0.476,0.432,0.373,0.317,0.275,0.244,0.221,0.201,0.183,0.171,0.165,0.167,0.172,0.179,0.19,0.221,0.285,0.376,0.464,0.519,0.53,0.515,0.501,0.507,0.531,0.564,0.584,0.583,0.562,0.536,0.521,0.523,0.539,0.562,0.581,0.587,0.575,0.552,0.527,0.506,0.494,0.489,0.485,0.476,0.454,0.417,0.372,0.325,0.286,0.253,0.225,0.198,0.174,0.16,0.158,0.164,0.171,0.172,0.181,0.22,0.3,0.409,0.507,0.565,0.576,0.563,0.552,0.557,0.575,0.59,0.578,0.527,0.444,0.353,0.282,0.243,0.231,0.23,0.231,0.226,0.216,0.203,0.188,0.174,0.164,0.158,0.157,0.159,0.161,0.163,0.164,0.163,0.164,0.167,0.173,0.181,0.193,0.209,0.228,0.247,0.259,0.263,0.259,0.251,0.245,0.243,0.249,0.26,0.272,0.28,0.279,0.272,0.259,0.248,0.241,0.243,0.255,0.278,0.31,0.344,0.374,0.393,0.402,0.402,0.396,0.385,0.371,0.355,0.336,0.317,0.303,0.298,0.302,0.312,0.327,0.344,0.362,0.378,0.39,0.395,0.394,0.388,0.382,0.379,0.378,0.378,0.377,0.375,0.369,0.359,0.346,0.337,0.341,0.36,0.387,0.406,0.403,0.378,0.348,0.329,0.328,0.337,0.348,0.356,0.361,0.362,0.363,0.362,0.363,0.364,0.367,0.37,0.371,0.367,0.358,0.347,0.341,0.343,0.354,0.371,0.388,0.402,0.41,0.414,0.417,0.42,0.423,0.426,0.424,0.415,0.4,0.379,0.356,0.338,0.328,0.331,0.342,0.357,0.371,0.381,0.386,0.388,0.391,0.394,0.397,0.402,0.411,0.427,0.449,0.471,0.486,0.493,0.497,0.503,0.513,0.525,0.533,0.532,0.521,0.502,0.483,0.468,0.46,0.457,0.457,0.46,0.465,0.471,0.478,0.483,0.484,0.481,0.471,0.455,0.434,0.412,0.393,0.379,0.37,0.364,0.361,0.365,0.383,0.422,0.476,0.53,0.57,0.593,0.602,0.605,0.604,0.597,0.584,0.565,0.543,0.523,0.506,0.496,0.49,0.488,0.486,0.482,0.475,0.465,0.453,0.442,0.433,0.427,0.424,0.425,0.431,0.443,0.459,0.474,0.483,0.482,0.473,0.465,0.464,0.478,0.504,0.537,0.57,0.595,0.608,0.607,0.596,0.581,0.568,0.565,0.572,0.582,0.585,0.57,0.531,0.474,0.411,0.355,0.308,0.261,0.212,0.162,0.122,0.095,0.084,0.086,0.096,0.111,0.125,0.135,0.137,0.131,0.118,0.1,0.082,0.07,0.068,0.075,0.087,0.096,0.097,0.09,0.078,0.067,0.058,0.054,0.056,0.064,0.077,0.091,0.102,0.106,0.104,0.098,0.093,0.087,0.082,0.076,0.071,0.067,0.063,0.058,0.052,0.045,0.037,0.029,0.022,0.017,0.013,0.01,0.009,0.008,0.007,0.006,0.006,0.005,0.005,0.009,0.023,0.05,0.092,0.141,0.185,0.213,0.225,0.225,0.221,0.219,0.223,0.237,0.259,0.285,0.304,0.307,0.293,0.269,0.247,0.233,0.231,0.245,0.281,0.34,0.409,0.466,0.492,0.488,0.47,0.456,0.452,0.457,0.461,0.458,0.439,0.4,0.348,0.295,0.255,0.237,0.241,0.259,0.281,0.298,0.31,0.317,0.317,0.31,0.304,0.318,0.362,0.43,0.49,0.516,0.505,0.48,0.466,0.477,0.508,0.541,0.546,0.507,0.428,0.337,0.265,0.241,0.272,0.345,0.428,0.488,0.509,0.5,0.481,0.472,0.48,0.498,0.507,0.488,0.435,0.365,0.302,0.264,0.246,0.233,0.213,0.188,0.169,0.166,0.183,0.212,0.246,0.279,0.317,0.368,0.433,0.496,0.537,0.542,0.518,0.487,0.471,0.484,0.522,0.561,0.579,0.567,0.537,0.511,0.504,0.521,0.555,0.591,0.616,0.621,0.611,0.595,0.582,0.576,0.573,0.565,0.546,0.506,0.442,0.363,0.286,0.227,0.189,0.167,0.153,0.144,0.144,0.157,0.185,0.219,0.248,0.269,0.296,0.349,0.432,0.522,0.588,0.614,0.607,0.592,0.587,0.596,0.608,0.602,0.563,0.49,0.402,0.329,0.299,0.324,0.397,0.485,0.555,0.588,0.592,0.587,0.587,0.592,0.593,0.574,0.524,0.442,0.34,0.245,0.19,0.197,0.265,0.366,0.459,0.513,0.513,0.464,0.385,0.305,0.252,0.246,0.295,0.387,0.494,0.576,0.613,0.61,0.593,0.584,0.591,0.606,0.619,0.616,0.599,0.575,0.555,0.547,0.554,0.569,0.583,0.583,0.564,0.531,0.498,0.472,0.457,0.447,0.436,0.418,0.389,0.345,0.291,0.239,0.202,0.187,0.19,0.199,0.203,0.202,0.202,0.21,0.224,0.237,0.25,0.275,0.326,0.4,0.471,0.509,0.503,0.47,0.432,0.411,0.418,0.448,0.472,0.46,0.395,0.299,0.214,0.183,0.218,0.304,0.401,0.472,0.496,0.483,0.461,0.455,0.473,0.505,0.529,0.522,0.475,0.396,0.31,0.239,0.198,0.183,0.183,0.183,0.177,0.172,0.176,0.193,0.219,0.246,0.274,0.314,0.374,0.442,0.494,0.511,0.495,0.471,0.463,0.482,0.52,0.558,0.576,0.568,0.542,0.518,0.511,0.529,0.566,0.607,0.635,0.638,0.619,0.59,0.565,0.547,0.534,0.523,0.503,0.465,0.403,0.323,0.243,0.181,0.143,0.125,0.121,0.124,0.134,0.15,0.171,0.195,0.221,0.252,0.298,0.368,0.458,0.545,0.604,0.625,0.619,0.605,0.599,0.604,0.611,0.603,0.565,0.495,0.41,0.339,0.31,0.338,0.415,0.512,0.591,0.629,0.63,0.615,0.606,0.611,0.625,0.628,0.597,0.523,0.416,0.306,0.232,0.219,0.268,0.356,0.446,0.506,0.514,0.471,0.391,0.303,0.236,0.215,0.252,0.34,0.453,0.553,0.608,0.617,0.601,0.587,0.591,0.609,0.626,0.629,0.615,0.591,0.57,0.563,0.573,0.593,0.613,0.614,0.591,0.549,0.506,0.473,0.454,0.444,0.438,0.429,0.406,0.361,0.297,0.224,0.163,0.127,0.118,0.125,0.137,0.145,0.149,0.154,0.157,0.156,0.154,0.17,0.221,0.308,0.399,0.461,0.478,0.468,0.457,0.465,0.495,0.529,0.542,0.511,0.435,0.336,0.253,0.217,0.241,0.312,0.397,0.46,0.479,0.46,0.428,0.41,0.415,0.439,0.466,0.473,0.444,0.379,0.296,0.222,0.173,0.151,0.146,0.145,0.145,0.144,0.149,0.16,0.175,0.19,0.21,0.249,0.315,0.397,0.463,0.488,0.475,0.449,0.438,0.456,0.497,0.542,0.569,0.568,0.544,0.513,0.484,0.454,0.415,0.361,0.299,0.239,0.191,0.159,0.142,0.136,0.133,0.132,0.131,0.132,0.136,0.138,0.137,0.134,0.131,0.131,0.134,0.137,0.136,0.133,0.129,0.129,0.133,0.137,0.138,0.138,0.142,0.151,0.159,0.162,0.16,0.159,0.162,0.167,0.171,0.17,0.169,0.172,0.179,0.186,0.184,0.172,0.154,0.138,0.13,0.128,0.127,0.128,0.132,0.142,0.153,0.159,0.155,0.141,0.12,0.096,0.074,0.058,0.05,0.052,0.065,0.091,0.13,0.178,0.228,0.272,0.303,0.317,0.32,0.319,0.323,0.336,0.351,0.36,0.358,0.348,0.334,0.32,0.307,0.294,0.282,0.272,0.265,0.271,0.302,0.361,0.437,0.5,0.526,0.51,0.473,0.439,0.419,0.409,0.402,0.389,0.364,0.322,0.262,0.195,0.136,0.096,0.076,0.068,0.065,0.064,0.062,0.06,0.056,0.055,0.064,0.101,0.177,0.285,0.396,0.475,0.503,0.487,0.447,0.412,0.4,0.419,0.451,0.462,0.425,0.347,0.264,0.219,0.238,0.312,0.409,0.491,0.531,0.533,0.518,0.512,0.525,0.552,0.573,0.563,0.507,0.407,0.29,0.185,0.114,0.077,0.065,0.067,0.081,0.106,0.146,0.199,0.255,0.299,0.328,0.353,0.393,0.453,0.517,0.563,0.581,0.582,0.58,0.588,0.606,0.626,0.636,0.628,0.604,0.58,0.57,0.584,0.616,0.651,0.672,0.668,0.642,0.611,0.588,0.577,0.571,0.562,0.54,0.496,0.426,0.336,0.241,0.162,0.111,0.084,0.073,0.068,0.066,0.064,0.063,0.061,0.061,0.073,0.113,0.194,0.314,0.444,0.548,0.601,0.612,0.604,0.603,0.614,0.627,0.62,0.575,0.49,0.388,0.302,0.266,0.293,0.373,0.473,0.557,0.597,0.596,0.576,0.562,0.568,0.592,0.616,0.619,0.586,0.519,0.438,0.373,0.351,0.378,0.44,0.506,0.549,0.552,0.52,0.465,0.401,0.341,0.3,0.296,0.341,0.429,0.528,0.603,0.635,0.634,0.621,0.614,0.617,0.624,0.625,0.614,0.595,0.578,0.572,0.578,0.592,0.604,0.603,0.584,0.55,0.514,0.488,0.481,0.487,0.498,0.5,0.485,0.449,0.394,0.332,0.28,0.251,0.244,0.247,0.246,0.236,0.223,0.21,0.201,0.196,0.199,0.223,0.279,0.362,0.449,0.51,0.53,0.513,0.478,0.448,0.439,0.458,0.491,0.511,0.496,0.446,0.386,0.349,0.353,0.397,0.46,0.513,0.54,0.539,0.529,0.529,0.547,0.575,0.596,0.589,0.549,0.481,0.406,0.342,0.301,0.28,0.269,0.261,0.25,0.237,0.228,0.226,0.232,0.244,0.265,0.306,0.368,0.439,0.494,0.515,0.503,0.485,0.48,0.5,0.537,0.576,0.597,0.592,0.564,0.529,0.501,0.48,0.458,0.424,0.378,0.329,0.287,0.257,0.238,0.223,0.208,0.191,0.174,0.163,0.158,0.159,0.161,0.16,0.157,0.155,0.156,0.157,0.154,0.144,0.134,0.132,0.138,0.147,0.153,0.154,0.153,0.154,0.158,0.162,0.163,0.164,0.166,0.168,0.165,0.157,0.145,0.133,0.127,0.132,0.15,0.18,0.213,0.241,0.256,0.256,0.245,0.232,0.22,0.21,0.198,0.187,0.179,0.176,0.177,0.177,0.17,0.154,0.133,0.112,0.093,0.08,0.074,0.076,0.084,0.092,0.095,0.096,0.103,0.123,0.155,0.19,0.216,0.229,0.231,0.227,0.215,0.196,0.173,0.151,0.139,0.14,0.152,0.172,0.194,0.211,0.223,0.229,0.232,0.232,0.229,0.222,0.214,0.206,0.201,0.201,0.202,0.202,0.199,0.191,0.181,0.171,0.162,0.153,0.142,0.131,0.125,0.122,0.12,0.115,0.107,0.101,0.109,0.132,0.165,0.193,0.207,0.209,0.211,0.22,0.236,0.25,0.256,0.251,0.235,0.215,0.195,0.178,0.169,0.171,0.181,0.193,0.2,0.199,0.19,0.179,0.171,0.166,0.165,0.164,0.155,0.134,0.103,0.067,0.038,0.018,0.008,0.004,0.002,0.001,0.001,0.001,0,0.001,0.005,0.017,0.041,0.076,0.114,0.147,0.168,0.176,0.176,0.172,0.167,0.165,0.173,0.193,0.226,0.267,0.313,0.358,0.401,0.434,0.454,0.456,0.442,0.417,0.385,0.352,0.319,0.286,0.255,0.229,0.214,0.207,0.204,0.201,0.202,0.208,0.223,0.239,0.251,0.255,0.256,0.26,0.268,0.281,0.297,0.311,0.315,0.303,0.275,0.243,0.222,0.225,0.249,0.278,0.291,0.277,0.246,0.218,0.207,0.21,0.215,0.215,0.214,0.22,0.229,0.233,0.222,0.199,0.172,0.152,0.142,0.144,0.15,0.151,0.143,0.127,0.109,0.097,0.096,0.102,0.112,0.122,0.135,0.152,0.172,0.186,0.186,0.171,0.153,0.148,0.165,0.197,0.229,0.247,0.255,0.264,0.284,0.315,0.349,0.377,0.401,0.42,0.429,0.42,0.394,0.365,0.353,0.362,0.377,0.382,0.368,0.34,0.311,0.292,0.288,0.294,0.298,0.291,0.275,0.259,0.251,0.252,0.259,0.267,0.273,0.28,0.29,0.306,0.325,0.346,0.363,0.375,0.379,0.374,0.362,0.346,0.33,0.316,0.305,0.292,0.279,0.273,0.283,0.309,0.342,0.371,0.388,0.395,0.393,0.381,0.356,0.318,0.273,0.232,0.201,0.181,0.168,0.161,0.157,0.153,0.146,0.132,0.11,0.084,0.06,0.045,0.036,0.032,0.033,0.039,0.057,0.091,0.139,0.187,0.221,0.236,0.239,0.245,0.262,0.286,0.308,0.32,0.323,0.321,0.315,0.303,0.288,0.274,0.267,0.263,0.259,0.255,0.26,0.283,0.323,0.362,0.38,0.363,0.318,0.265,0.222,0.201,0.2,0.211,0.224,0.235,0.241,0.243,0.242,0.237,0.225,0.205,0.178,0.147,0.126,0.123,0.139,0.166,0.191,0.205,0.208,0.206,0.204,0.205,0.208,0.21,0.207,0.199,0.189,0.18,0.174,0.172,0.173,0.175,0.178,0.179,0.181,0.184,0.187,0.187,0.18,0.168,0.152,0.137,0.126,0.12,0.112,0.1,0.081,0.059,0.039,0.025,0.016,0.012,0.01,0.009]