[0.042,0.042,0.044,0.051,0.063,0.076,0.087,0.091,0.088,0.078,0.067,0.06,0.059,0.063,0.068,0.07,0.065,0.057,0.051,0.051,0.056,0.062,0.067,0.067,0.063,0.06,0.06,0.066,0.074,0.081,0.084,0.081,0.076,0.072,0.073,0.077,0.083,0.086,0.085,0.079,0.074,0.073,0.081,0.094,0.11,0.122,0.124,0.116,0.102,0.091,0.09,0.098,0.111,0.122,0.124,0.116,0.102,0.092,0.089,0.093,0.1,0.104,0.1,0.092,0.081,0.075,0.075,0.081,0.086,0.088,0.082,0.073,0.066,0.066,0.074,0.088,0.101,0.104,0.096,0.082,0.07,0.066,0.072,0.084,0.095,0.098,0.092,0.082,0.077,0.08,0.092,0.106,0.113,0.109,0.097,0.086,0.084,0.097,0.118,0.14,0.151,0.147,0.13,0.109,0.096,0.094,0.1,0.108,0.112,0.109,0.102,0.097,0.1,0.112,0.131,0.149,0.16,0.159,0.149,0.139,0.138,0.152,0.178,0.212,0.246,0.271,0.279,0.273,0.26,0.248,0.243,0.246,0.253,0.256,0.251,0.241,0.229,0.222,0.218,0.215,0.209,0.198,0.186,0.174,0.165,0.16,0.156,0.152,0.144,0.134,0.124,0.119,0.121,0.13,0.143,0.151,0.151,0.142,0.133,0.131,0.138,0.151,0.161,0.163,0.154,0.14,0.129,0.126,0.129,0.134,0.136,0.132,0.121,0.11,0.105,0.109,0.122,0.137,0.147,0.147,0.14,0.132,0.133,0.148,0.177,0.213,0.247,0.27,0.277,0.269,0.255,0.245,0.245,0.254,0.267,0.274,0.272,0.259,0.244,0.231,0.227,0.23,0.234,0.235,0.227,0.215,0.203,0.196,0.194,0.197,0.2,0.204,0.208,0.214,0.218,0.219,0.214,0.207,0.202,0.201,0.203,0.207,0.211,0.214,0.217,0.223,0.231,0.24,0.246,0.245,0.237,0.226,0.217,0.212,0.214,0.219,0.224,0.225,0.221,0.214,0.208,0.208,0.211,0.215,0.218,0.218,0.219,0.222,0.228,0.236,0.243,0.247,0.248,0.244,0.241,0.24,0.246,0.253,0.256,0.251,0.24,0.228,0.22,0.219,0.224,0.229,0.232,0.23,0.223,0.216,0.21,0.204,0.197,0.186,0.171,0.155,0.144,0.139,0.141,0.147,0.153,0.154,0.151,0.143,0.138,0.139,0.147,0.16,0.174,0.182,0.181,0.172,0.159,0.146,0.136,0.127,0.122,0.119,0.121,0.126,0.135,0.148,0.167,0.191,0.213,0.225,0.224,0.217,0.212,0.216,0.229,0.244,0.251,0.246,0.236,0.226,0.22,0.217,0.215,0.216,0.22,0.225,0.225,0.219,0.209,0.2,0.195,0.194,0.195,0.194,0.189,0.181,0.172,0.168,0.169,0.174,0.181,0.188,0.194,0.2,0.204,0.204,0.201,0.198,0.196,0.196,0.198,0.201,0.208,0.224,0.249,0.279,0.308,0.326,0.328,0.316,0.298,0.284,0.283,0.293,0.3,0.294,0.274,0.25,0.231,0.228,0.238,0.257,0.275,0.287,0.293,0.302,0.323,0.362,0.409,0.442,0.448,0.426,0.396,0.372,0.363,0.364,0.37,0.376,0.384,0.392,0.398,0.404,0.417,0.442,0.475,0.501,0.508,0.496,0.472,0.446,0.424,0.409,0.402,0.411,0.435,0.465,0.481,0.472,0.439,0.404,0.386,0.398,0.434,0.476,0.498,0.488,0.452,0.414,0.392,0.392,0.401,0.406,0.397,0.385,0.386,0.409,0.439,0.458,0.452,0.428,0.399,0.376,0.357,0.342,0.329,0.319,0.316,0.325,0.352,0.403,0.478,0.561,0.633,0.676,0.691,0.686,0.674,0.66,0.648,0.637,0.631,0.627,0.621,0.609,0.597,0.592,0.6,0.614,0.624,0.622,0.615,0.608,0.606,0.605,0.603,0.6,0.601,0.6,0.587,0.55,0.493,0.437,0.408,0.418,0.457,0.501,0.529,0.53,0.513,0.493,0.479,0.474,0.472,0.47,0.469,0.476,0.494,0.519,0.538,0.538,0.512,0.469,0.419,0.376,0.348,0.337,0.337,0.341,0.342,0.343,0.351,0.377,0.422,0.474,0.51,0.513,0.483,0.438,0.394,0.36,0.337,0.322,0.315,0.315,0.321,0.331,0.345,0.369,0.402,0.437,0.461,0.463,0.445,0.416,0.389,0.368,0.355,0.354,0.372,0.412,0.463,0.501,0.506,0.475,0.429,0.392,0.382,0.398,0.424,0.438,0.431,0.408,0.382,0.359,0.341,0.323,0.311,0.309,0.327,0.363,0.406,0.439,0.448,0.435,0.411,0.389,0.375,0.368,0.363,0.358,0.351,0.343,0.339,0.352,0.392,0.459,0.533,0.59,0.617,0.619,0.609,0.595,0.58,0.566,0.558,0.558,0.562,0.565,0.558,0.546,0.537,0.54,0.549,0.555,0.553,0.543,0.528,0.509,0.488,0.467,0.454,0.459,0.478,0.499,0.503,0.489,0.469,0.465,0.484,0.519,0.551,0.564,0.554,0.531,0.509,0.501,0.508,0.523,0.536,0.534,0.52,0.502,0.49,0.479,0.459,0.424,0.381,0.341,0.312,0.3,0.303,0.319,0.338,0.354,0.364,0.374,0.392,0.422,0.462,0.496,0.513,0.512,0.504,0.497,0.494,0.489,0.477,0.46,0.44,0.42,0.405,0.405,0.428,0.472,0.517,0.54,0.531,0.498,0.461,0.434,0.417,0.407,0.404,0.415,0.444,0.481,0.508,0.508,0.479,0.441,0.414,0.412,0.432,0.461,0.478,0.475,0.453,0.429,0.411,0.403,0.398,0.39,0.38,0.376,0.391,0.423,0.454,0.465,0.45,0.422,0.4,0.393,0.396,0.402,0.404,0.401,0.396,0.392,0.396,0.417,0.463,0.528,0.592,0.636,0.654,0.654,0.644,0.629,0.608,0.583,0.556,0.529,0.508,0.497,0.5,0.518,0.546,0.576,0.598,0.606,0.603,0.596,0.588,0.577,0.562,0.547,0.538,0.537,0.536,0.521,0.49,0.457,0.442,0.455,0.484,0.512,0.523,0.516,0.499,0.484,0.478,0.48,0.481,0.473,0.458,0.446,0.448,0.463,0.48,0.482,0.464,0.435,0.41,0.401,0.409,0.423,0.432,0.432,0.423,0.416,0.418,0.436,0.472,0.518,0.554,0.564,0.544,0.505,0.463,0.425,0.391,0.361,0.334,0.314,0.301,0.3,0.318,0.362,0.425,0.488,0.527,0.527,0.499,0.462,0.434,0.418,0.41,0.405,0.405,0.408,0.414,0.41,0.394,0.368,0.35,0.35,0.374,0.414,0.457,0.483,0.483,0.461,0.435,0.414,0.406,0.402,0.399,0.396,0.402,0.422,0.456,0.48,0.478,0.444,0.393,0.345,0.315,0.31,0.328,0.366,0.421,0.49,0.562,0.628,0.678,0.713,0.729,0.734,0.73,0.722,0.713,0.702,0.689,0.673,0.657,0.639,0.619,0.597,0.577,0.564,0.564,0.575,0.587,0.589,0.58,0.563,0.547,0.533,0.521,0.511,0.506,0.51,0.519,0.521,0.502,0.468,0.437,0.431,0.453,0.494,0.532,0.552,0.547,0.524,0.498,0.484,0.484,0.49,0.493,0.487,0.476,0.467,0.466,0.465,0.453,0.425,0.387,0.349,0.322,0.309,0.308,0.314,0.321,0.325,0.322,0.315,0.311,0.319,0.338,0.354,0.355,0.339,0.319,0.305,0.3,0.296,0.287,0.273,0.255,0.236,0.22,0.205,0.195,0.187,0.184,0.184,0.185,0.183,0.178,0.172,0.166,0.162,0.161,0.162,0.163,0.162,0.158,0.153,0.146,0.136,0.122,0.103,0.082,0.064,0.053,0.046,0.043,0.043,0.048,0.063,0.091,0.128,0.163,0.189,0.199,0.197,0.189,0.182,0.176,0.17,0.162,0.149,0.132,0.113,0.094,0.079,0.075,0.089,0.126,0.177,0.229,0.27,0.297,0.309,0.311,0.305,0.293,0.275,0.251,0.225,0.199,0.178,0.163,0.152,0.145,0.143,0.149,0.16,0.167,0.165,0.153,0.139,0.13,0.133,0.145,0.16,0.173,0.185,0.199,0.221,0.25,0.281,0.305,0.317,0.316,0.306,0.29,0.27,0.246,0.22,0.194,0.171,0.151,0.134,0.121,0.112,0.111,0.12,0.139,0.161,0.179,0.188,0.187,0.177,0.161,0.139,0.115,0.091,0.071,0.056,0.053,0.073,0.121,0.192,0.266,0.322,0.349,0.354,0.346,0.333,0.317,0.296,0.275,0.254,0.233,0.212,0.192,0.174,0.159,0.153,0.156,0.164,0.17,0.168,0.156,0.141,0.131,0.13,0.136,0.144,0.15,0.152,0.151,0.147,0.138,0.123,0.102,0.08,0.06,0.045,0.036,0.032,0.032,0.036,0.047,0.069,0.104,0.141,0.166,0.169,0.158,0.143,0.14,0.147,0.158,0.162,0.157,0.147,0.135,0.125,0.125,0.137,0.163,0.196,0.224,0.239,0.238,0.226,0.21,0.196,0.186,0.183,0.191,0.211,0.241,0.272,0.296,0.309,0.309,0.298,0.281,0.266,0.257,0.253,0.25,0.244,0.233,0.216,0.193,0.164,0.133,0.105,0.089,0.093,0.119,0.164,0.213,0.255,0.28,0.29,0.286,0.272,0.249,0.223,0.199,0.184,0.183,0.191,0.2,0.202,0.197,0.184,0.169,0.151,0.131,0.112,0.095,0.084,0.083,0.096,0.121,0.153,0.18,0.198,0.205,0.204,0.195,0.183,0.166,0.148,0.13,0.114,0.103,0.097,0.098,0.102,0.106,0.105,0.097,0.086,0.077,0.074,0.077,0.083,0.086,0.084,0.08,0.077,0.077,0.081,0.085,0.087,0.085,0.082,0.078,0.077,0.079,0.083,0.088,0.091,0.089,0.084,0.077,0.073,0.074,0.078,0.085,0.091,0.094,0.092,0.089,0.089,0.093,0.1,0.108,0.114,0.115,0.11,0.104,0.1,0.101,0.109,0.118,0.126,0.129,0.125,0.121,0.123,0.136,0.162,0.195,0.227,0.245,0.247,0.238,0.231,0.231,0.24,0.251,0.256,0.25,0.232,0.205,0.178,0.163,0.166,0.184,0.207,0.226,0.232,0.228,0.217,0.204,0.191,0.179,0.165,0.147,0.129,0.114,0.106,0.107,0.112,0.117,0.118,0.113,0.106,0.101,0.101,0.104,0.107,0.108,0.104,0.098,0.094,0.095,0.103,0.113,0.122,0.126,0.124,0.117,0.112,0.113,0.12,0.131,0.139,0.14,0.132,0.121,0.116,0.123,0.144,0.17,0.191,0.202,0.203,0.2,0.198,0.201,0.212,0.231,0.25,0.26,0.254,0.234,0.208,0.192,0.192,0.208,0.228,0.241,0.24,0.226,0.208,0.198,0.202,0.22,0.239,0.248,0.24,0.218,0.188,0.158,0.135,0.124,0.123,0.128,0.135,0.139,0.141,0.142,0.145,0.154,0.166,0.176,0.179,0.176,0.167,0.157,0.149,0.146,0.148,0.153,0.157,0.157,0.153,0.148,0.145,0.145,0.148,0.152,0.154,0.154,0.154,0.154,0.155,0.154,0.155,0.162,0.177,0.202,0.229,0.255,0.274,0.283,0.28,0.268,0.252,0.24,0.235,0.239,0.248,0.255,0.256,0.25,0.241,0.231,0.225,0.222,0.22,0.212,0.196,0.174,0.154,0.145,0.148,0.161,0.177,0.19,0.197,0.2,0.202,0.206,0.214,0.222,0.227,0.224,0.213,0.198,0.183,0.17,0.159,0.149,0.142,0.137,0.136,0.139,0.144,0.15,0.156,0.161,0.162,0.159,0.152,0.15,0.156,0.174,0.199,0.224,0.24,0.244,0.24,0.232,0.226,0.222,0.221,0.221,0.225,0.233,0.245,0.259,0.274,0.286,0.29,0.281,0.258,0.226,0.195,0.173,0.168,0.178,0.199,0.223,0.243,0.25,0.244,0.225,0.199,0.173,0.155,0.148,0.148,0.151,0.153,0.156,0.165,0.182,0.205,0.229,0.249,0.26,0.262,0.256,0.248,0.243,0.244,0.248,0.251,0.248,0.237,0.222,0.211,0.209,0.219,0.234,0.244,0.248,0.251,0.271,0.317,0.386,0.452,0.491,0.496,0.482,0.465,0.456,0.451,0.442,0.43,0.419,0.412,0.412,0.416,0.425,0.44,0.456,0.462,0.449,0.421,0.388,0.363,0.349,0.342,0.341,0.351,0.378,0.42,0.461,0.477,0.456,0.41,0.368,0.353,0.373,0.411,0.441,0.445,0.423,0.394,0.375,0.374,0.383,0.389,0.385,0.378,0.382,0.405,0.437,0.454,0.445,0.415,0.383,0.36,0.347,0.34,0.332,0.322,0.309,0.295,0.292,0.318,0.377,0.457,0.526,0.564,0.568,0.556,0.545,0.538,0.533,0.525,0.517,0.513,0.513,0.514,0.514,0.518,0.528,0.546,0.559,0.558,0.544,0.525,0.509,0.497,0.489,0.486,0.493,0.506,0.517,0.508,0.475,0.429,0.399,0.401,0.433,0.475,0.507,0.515,0.503,0.48,0.461,0.451,0.448,0.448,0.451,0.459,0.475,0.496,0.512,0.506,0.473,0.424,0.376,0.341,0.323,0.316,0.316,0.321,0.329,0.339,0.348,0.359,0.381,0.419,0.462,0.49,0.492,0.472,0.441,0.41,0.383,0.363,0.351,0.345,0.343,0.341,0.339,0.346,0.367,0.4,0.429,0.442,0.431,0.409,0.385,0.368,0.355,0.349,0.352,0.374,0.412,0.452,0.469,0.452,0.411,0.37,0.355,0.371,0.405,0.433,0.439,0.419,0.388,0.362,0.344,0.331,0.317,0.302,0.295,0.307,0.34,0.378,0.404,0.407,0.392,0.372,0.357,0.35,0.349,0.351,0.354,0.354,0.352,0.353,0.372,0.418,0.488,0.557,0.604,0.618,0.611,0.597,0.584,0.574,0.566,0.56,0.557,0.556,0.553,0.543,0.531,0.524,0.525,0.527,0.524,0.515,0.505,0.499,0.496,0.494,0.494,0.504,0.525,0.546,0.549,0.524,0.479,0.444,0.438,0.464,0.502,0.527,0.522,0.491,0.449,0.42,0.412,0.425,0.447,0.47,0.482,0.484,0.481,0.477,0.466,0.443,0.409,0.372,0.343,0.327,0.322,0.325,0.332,0.341,0.351,0.365,0.388,0.424,0.467,0.502,0.515,0.506,0.484,0.463,0.448,0.436,0.424,0.412,0.4,0.386,0.372,0.367,0.384,0.428,0.487,0.529,0.534,0.502,0.456,0.416,0.393,0.382,0.378,0.382,0.4,0.432,0.465,0.479,0.466,0.432,0.402,0.393,0.409,0.438,0.462,0.467,0.453,0.429,0.405,0.39,0.381,0.373,0.365,0.361,0.37,0.394,0.42,0.432,0.422,0.4,0.38,0.368,0.362,0.358,0.357,0.364,0.377,0.39,0.396,0.407,0.437,0.495,0.562,0.615,0.638,0.639,0.63,0.621,0.61,0.599,0.586,0.572,0.56,0.549,0.542,0.542,0.552,0.568,0.585,0.594,0.593,0.581,0.561,0.537,0.515,0.498,0.495,0.502,0.511,0.508,0.488,0.458,0.435,0.43,0.445,0.469,0.488,0.489,0.475,0.458,0.454,0.464,0.477,0.479,0.467,0.448,0.434,0.432,0.44,0.442,0.432,0.409,0.384,0.366,0.359,0.357,0.357,0.355,0.352,0.353,0.361,0.383,0.422,0.467,0.497,0.496,0.462,0.411,0.362,0.324,0.296,0.271,0.247,0.225,0.209,0.202,0.209,0.235,0.278,0.33,0.368,0.377,0.358,0.328,0.303,0.292,0.289,0.291,0.295,0.307,0.324,0.338,0.337,0.322,0.301,0.294,0.308,0.342,0.383,0.415,0.425,0.412,0.388,0.367,0.358,0.36,0.368,0.377,0.389,0.409,0.435,0.455,0.453,0.422,0.372,0.319,0.28,0.262,0.268,0.295,0.34,0.396,0.462,0.528,0.59,0.637,0.664,0.667,0.654,0.634,0.618,0.608,0.602,0.596,0.586,0.574,0.56,0.545,0.53,0.519,0.517,0.523,0.532,0.537,0.533,0.525,0.516,0.511,0.505,0.496,0.486,0.482,0.489,0.5,0.501,0.482,0.45,0.429,0.433,0.465,0.507,0.538,0.543,0.522,0.488,0.459,0.445,0.45,0.464,0.475,0.472,0.453,0.425,0.396,0.366,0.334,0.298,0.267,0.247,0.241,0.247,0.26,0.274,0.286,0.295,0.302,0.309,0.315,0.321,0.324,0.324,0.319,0.309,0.298,0.288,0.28,0.274,0.265,0.254,0.24,0.225,0.21,0.199,0.193,0.194,0.2,0.205,0.206,0.203,0.199,0.196,0.192,0.187,0.18,0.171,0.158,0.145,0.131,0.118,0.107,0.096,0.086,0.078,0.071,0.066,0.062,0.06,0.064,0.078,0.105,0.141,0.177,0.205,0.217,0.216,0.207,0.195,0.185,0.177,0.169,0.16,0.148,0.133,0.113,0.092,0.072,0.063,0.075,0.113,0.173,0.239,0.289,0.31,0.305,0.287,0.266,0.244,0.22,0.195,0.172,0.155,0.144,0.137,0.135,0.139,0.148,0.158,0.162,0.157,0.144,0.132,0.128,0.134,0.146,0.158,0.165,0.167,0.167,0.173,0.191,0.221,0.255,0.281,0.293,0.288,0.272,0.25,0.224,0.197,0.172,0.15,0.132,0.12,0.114,0.12,0.137,0.163,0.191,0.212,0.221,0.218,0.205,0.185,0.158,0.128,0.099,0.075,0.058,0.053,0.068,0.111,0.181,0.263,0.335,0.379,0.393,0.385,0.367,0.347,0.328,0.308,0.284,0.257,0.232,0.213,0.204,0.201,0.203,0.203,0.201,0.194,0.182,0.167,0.154,0.148,0.149,0.154,0.158,0.157,0.15,0.137,0.12,0.103,0.088,0.078,0.07,0.063,0.055,0.048,0.042,0.038,0.036,0.038,0.046,0.064,0.092,0.129,0.162,0.184,0.191,0.189,0.185,0.184,0.183,0.181,0.174,0.164,0.152,0.137,0.12,0.102,0.092,0.097,0.122,0.158,0.191,0.209,0.21,0.201,0.19,0.186,0.196,0.222,0.258,0.295,0.321,0.334,0.335,0.329,0.318,0.303,0.288,0.275,0.266,0.262,0.259,0.255,0.249,0.238,0.221,0.198,0.169,0.143,0.131,0.145,0.189,0.248,0.304,0.338,0.348,0.336,0.311,0.28,0.248,0.222,0.21,0.211,0.219,0.225,0.227,0.222,0.216,0.207,0.198,0.186,0.171,0.153,0.135,0.119,0.112,0.12,0.143,0.173,0.2,0.218,0.233,0.259,0.304,0.361,0.408,0.427,0.418,0.399,0.387,0.387,0.393,0.397,0.396,0.391,0.383,0.373,0.365,0.361,0.361,0.359,0.348,0.326,0.3,0.277,0.262,0.254,0.248,0.247,0.257,0.285,0.329,0.372,0.388,0.37,0.328,0.292,0.284,0.309,0.354,0.391,0.399,0.373,0.33,0.293,0.28,0.292,0.314,0.329,0.33,0.319,0.308,0.298,0.29,0.278,0.266,0.254,0.241,0.226,0.21,0.199,0.198,0.209,0.229,0.254,0.291,0.342,0.405,0.459,0.494,0.504,0.503,0.497,0.492,0.485,0.476,0.47,0.47,0.472,0.471,0.462,0.448,0.435,0.424,0.412,0.397,0.382,0.372,0.367,0.366,0.367,0.371,0.381,0.4,0.419,0.421,0.397,0.357,0.328,0.331,0.368,0.42,0.463,0.477,0.46,0.424,0.39,0.368,0.362,0.364,0.37,0.37,0.366,0.357,0.346,0.33,0.309,0.285,0.265,0.25,0.241,0.233,0.226,0.219,0.214,0.215,0.224,0.249,0.293,0.352,0.405,0.435,0.433,0.411,0.384,0.364,0.352,0.346,0.345,0.349,0.355,0.362,0.369,0.376,0.385,0.393,0.388,0.366,0.33,0.294,0.267,0.253,0.248,0.248,0.259,0.287,0.334,0.383,0.404,0.385,0.33,0.273,0.239,0.239,0.263,0.289,0.296,0.28,0.252,0.229,0.218,0.219,0.226,0.233,0.239,0.246,0.254,0.256,0.25,0.235,0.22,0.209,0.208,0.213,0.221,0.231,0.24,0.246,0.249,0.254,0.275,0.322,0.389,0.451,0.486,0.488,0.473,0.458,0.452,0.456,0.467,0.485,0.511,0.538,0.557,0.558,0.543,0.521,0.5,0.485,0.474,0.463,0.452,0.441,0.43,0.419,0.413,0.416,0.43,0.448,0.45,0.43,0.399,0.383,0.4,0.447,0.501,0.536,0.538,0.509,0.469,0.44,0.435,0.453,0.481,0.504,0.508,0.494,0.469,0.446,0.422,0.395,0.364,0.338,0.321,0.314,0.317,0.328,0.342,0.352,0.356,0.357,0.367,0.394,0.436,0.475,0.493,0.485,0.459,0.433,0.413,0.401,0.392,0.384,0.377,0.369,0.359,0.345,0.331,0.316,0.304,0.293,0.282,0.271,0.26,0.252,0.247,0.243,0.24,0.236,0.232,0.23,0.229,0.227,0.224,0.219,0.214,0.21,0.206,0.201,0.196,0.191,0.187,0.185,0.183,0.179,0.175,0.17,0.167,0.163,0.16,0.156,0.152,0.15,0.148,0.146,0.144,0.14,0.137,0.134,0.131,0.127,0.121,0.11,0.096,0.08,0.066,0.06]