[0.068,0.067,0.064,0.059,0.056,0.054,0.054,0.053,0.05,0.046,0.043,0.041,0.045,0.056,0.072,0.089,0.099,0.098,0.088,0.076,0.069,0.067,0.07,0.075,0.079,0.08,0.078,0.071,0.063,0.06,0.064,0.073,0.081,0.083,0.077,0.065,0.052,0.042,0.036,0.036,0.045,0.065,0.096,0.133,0.168,0.192,0.203,0.201,0.191,0.177,0.161,0.142,0.12,0.097,0.078,0.065,0.06,0.063,0.073,0.086,0.098,0.105,0.104,0.099,0.09,0.081,0.07,0.061,0.055,0.053,0.055,0.058,0.062,0.069,0.08,0.095,0.108,0.115,0.118,0.116,0.112,0.105,0.097,0.091,0.093,0.105,0.124,0.143,0.155,0.155,0.145,0.127,0.108,0.096,0.093,0.098,0.103,0.104,0.099,0.091,0.082,0.074,0.071,0.076,0.088,0.102,0.112,0.114,0.113,0.112,0.113,0.113,0.11,0.103,0.097,0.091,0.088,0.087,0.089,0.092,0.094,0.091,0.085,0.079,0.073,0.072,0.074,0.08,0.086,0.089,0.086,0.081,0.079,0.084,0.093,0.101,0.105,0.107,0.113,0.123,0.133,0.138,0.137,0.134,0.131,0.131,0.133,0.139,0.147,0.155,0.161,0.165,0.163,0.155,0.138,0.117,0.096,0.083,0.079,0.088,0.107,0.129,0.144,0.146,0.138,0.124,0.114,0.112,0.122,0.138,0.152,0.157,0.149,0.133,0.114,0.097,0.086,0.082,0.082,0.083,0.082,0.079,0.075,0.073,0.072,0.072,0.074,0.077,0.081,0.084,0.086,0.089,0.095,0.104,0.111,0.11,0.102,0.088,0.074,0.063,0.056,0.057,0.072,0.104,0.146,0.188,0.22,0.24,0.247,0.247,0.24,0.227,0.209,0.191,0.177,0.169,0.167,0.167,0.167,0.166,0.171,0.191,0.231,0.287,0.339,0.37,0.37,0.344,0.301,0.254,0.215,0.197,0.209,0.25,0.303,0.356,0.41,0.475,0.55,0.614,0.639,0.619,0.564,0.5,0.44,0.39,0.35,0.32,0.301,0.293,0.294,0.303,0.317,0.33,0.339,0.337,0.326,0.307,0.286,0.269,0.266,0.286,0.326,0.373,0.412,0.437,0.456,0.483,0.519,0.553,0.568,0.561,0.536,0.505,0.475,0.454,0.444,0.445,0.453,0.462,0.465,0.456,0.433,0.397,0.358,0.323,0.295,0.273,0.253,0.235,0.223,0.218,0.217,0.218,0.228,0.261,0.335,0.447,0.569,0.655,0.678,0.639,0.567,0.493,0.438,0.404,0.393,0.397,0.411,0.425,0.43,0.423,0.405,0.382,0.36,0.339,0.318,0.295,0.273,0.262,0.276,0.319,0.384,0.45,0.499,0.526,0.542,0.557,0.569,0.57,0.552,0.515,0.467,0.417,0.372,0.337,0.317,0.311,0.316,0.327,0.343,0.365,0.387,0.401,0.401,0.387,0.363,0.333,0.304,0.28,0.265,0.261,0.266,0.279,0.306,0.36,0.441,0.532,0.601,0.625,0.601,0.547,0.484,0.425,0.378,0.343,0.319,0.305,0.3,0.303,0.314,0.327,0.337,0.34,0.335,0.323,0.307,0.292,0.285,0.291,0.316,0.353,0.392,0.422,0.442,0.463,0.494,0.531,0.556,0.56,0.541,0.51,0.479,0.455,0.442,0.439,0.444,0.451,0.456,0.454,0.441,0.416,0.38,0.341,0.309,0.285,0.265,0.248,0.233,0.224,0.222,0.223,0.229,0.249,0.298,0.386,0.501,0.608,0.669,0.667,0.615,0.54,0.47,0.42,0.393,0.389,0.397,0.409,0.416,0.413,0.4,0.38,0.361,0.344,0.331,0.314,0.293,0.272,0.264,0.284,0.334,0.403,0.466,0.508,0.531,0.546,0.562,0.572,0.565,0.536,0.494,0.447,0.403,0.366,0.338,0.323,0.321,0.325,0.333,0.346,0.361,0.375,0.379,0.366,0.338,0.299,0.256,0.213,0.172,0.136,0.109,0.096,0.106,0.151,0.242,0.371,0.503,0.597,0.627,0.6,0.541,0.475,0.418,0.374,0.343,0.322,0.31,0.305,0.308,0.317,0.328,0.338,0.339,0.332,0.316,0.296,0.277,0.269,0.281,0.315,0.36,0.403,0.431,0.449,0.468,0.495,0.527,0.548,0.55,0.534,0.506,0.474,0.446,0.43,0.427,0.433,0.44,0.441,0.433,0.418,0.399,0.38,0.359,0.337,0.311,0.285,0.262,0.247,0.239,0.237,0.238,0.246,0.273,0.333,0.43,0.545,0.641,0.683,0.663,0.6,0.526,0.463,0.42,0.399,0.397,0.406,0.418,0.422,0.413,0.391,0.364,0.34,0.323,0.31,0.296,0.28,0.267,0.272,0.304,0.363,0.433,0.492,0.529,0.547,0.559,0.567,0.566,0.551,0.521,0.483,0.441,0.4,0.363,0.336,0.322,0.321,0.328,0.341,0.361,0.384,0.404,0.413,0.407,0.386,0.357,0.324,0.294,0.274,0.268,0.272,0.286,0.311,0.355,0.425,0.511,0.589,0.63,0.624,0.581,0.52,0.459,0.406,0.363,0.331,0.308,0.297,0.294,0.301,0.312,0.325,0.333,0.334,0.328,0.316,0.302,0.29,0.29,0.307,0.343,0.385,0.42,0.443,0.461,0.487,0.522,0.555,0.571,0.564,0.54,0.509,0.479,0.455,0.441,0.439,0.446,0.455,0.457,0.447,0.427,0.403,0.379,0.356,0.333,0.306,0.277,0.252,0.237,0.23,0.23,0.234,0.247,0.283,0.358,0.468,0.586,0.67,0.693,0.655,0.584,0.509,0.45,0.412,0.397,0.4,0.415,0.431,0.436,0.425,0.4,0.371,0.345,0.329,0.317,0.305,0.289,0.278,0.286,0.322,0.381,0.446,0.496,0.526,0.542,0.557,0.569,0.572,0.556,0.523,0.478,0.429,0.385,0.352,0.332,0.325,0.326,0.331,0.343,0.364,0.388,0.407,0.409,0.392,0.361,0.325,0.292,0.267,0.255,0.256,0.264,0.279,0.307,0.359,0.439,0.53,0.601,0.628,0.61,0.559,0.497,0.438,0.389,0.352,0.326,0.31,0.302,0.303,0.311,0.323,0.333,0.339,0.337,0.327,0.311,0.292,0.278,0.281,0.305,0.347,0.392,0.427,0.451,0.475,0.508,0.545,0.573,0.577,0.558,0.525,0.49,0.461,0.442,0.432,0.432,0.439,0.448,0.45,0.439,0.412,0.378,0.345,0.32,0.299,0.279,0.259,0.243,0.235,0.233,0.233,0.238,0.255,0.301,0.386,0.499,0.607,0.673,0.677,0.629,0.556,0.484,0.431,0.401,0.396,0.407,0.425,0.438,0.439,0.425,0.401,0.374,0.349,0.328,0.308,0.288,0.272,0.27,0.294,0.344,0.41,0.471,0.512,0.534,0.55,0.564,0.573,0.566,0.539,0.499,0.455,0.413,0.377,0.349,0.333,0.328,0.333,0.342,0.357,0.375,0.394,0.406,0.404,0.389,0.363,0.333,0.304,0.282,0.272,0.273,0.28,0.293,0.322,0.378,0.461,0.549,0.612,0.63,0.602,0.547,0.484,0.426,0.377,0.342,0.319,0.307,0.303,0.307,0.317,0.329,0.34,0.344,0.339,0.328,0.313,0.3,0.296,0.307,0.336,0.375,0.412,0.437,0.452,0.471,0.5,0.535,0.561,0.566,0.55,0.52,0.487,0.459,0.443,0.439,0.443,0.45,0.455,0.452,0.436,0.405,0.364,0.324,0.294,0.274,0.259,0.246,0.236,0.231,0.23,0.233,0.239,0.26,0.308,0.39,0.488,0.57,0.608,0.595,0.545,0.478,0.411,0.356,0.318,0.299,0.296,0.299,0.302,0.301,0.297,0.29,0.28,0.266,0.245,0.218,0.187,0.162,0.159,0.19,0.253,0.329,0.395,0.442,0.476,0.509,0.539,0.555,0.546,0.512,0.462,0.408,0.356,0.309,0.267,0.225,0.182,0.138,0.098,0.067,0.046,0.032,0.023,0.016,0.011,0.007,0.005,0.003,0.002,0.002,0.003,0.01,0.035,0.096,0.206,0.357,0.516,0.637,0.691,0.672,0.607,0.52,0.432,0.354,0.292,0.249,0.223,0.21,0.204,0.203,0.204,0.203,0.199,0.192,0.188,0.189,0.196,0.213,0.244,0.291,0.346,0.395,0.429,0.453,0.476,0.501,0.521,0.528,0.519,0.493,0.449,0.39,0.322,0.262,0.221,0.202,0.196,0.192,0.186,0.18,0.176,0.172,0.167,0.163,0.162,0.165,0.169,0.174,0.182,0.192,0.204,0.22,0.251,0.312,0.407,0.515,0.601,0.634,0.612,0.554,0.477,0.392,0.308,0.24,0.202,0.194,0.202,0.209,0.209,0.208,0.208,0.211,0.217,0.231,0.256,0.287,0.314,0.333,0.353,0.387,0.435,0.485,0.524,0.551,0.568,0.578,0.573,0.55,0.507,0.448,0.379,0.311,0.259,0.232,0.231,0.241,0.246,0.246,0.251,0.266,0.287,0.304,0.315,0.326,0.345,0.37,0.39,0.399,0.395,0.386,0.383,0.397,0.436,0.501,0.575,0.632,0.649,0.621,0.56,0.48,0.394,0.311,0.241,0.192,0.163,0.146,0.135,0.131,0.138,0.154,0.171,0.181,0.185,0.187,0.192,0.202,0.221,0.257,0.31,0.367,0.413,0.443,0.464,0.488,0.512,0.524,0.516,0.489,0.45,0.402,0.35,0.296,0.251,0.222,0.21,0.206,0.206,0.21,0.22,0.232,0.244,0.254,0.263,0.273,0.281,0.286,0.286,0.283,0.276,0.266,0.261,0.279,0.337,0.432,0.536,0.611,0.632,0.602,0.539,0.46,0.375,0.299,0.245,0.224,0.228,0.238,0.238,0.231,0.227,0.228,0.227,0.222,0.222,0.232,0.249,0.265,0.278,0.301,0.342,0.396,0.446,0.483,0.507,0.523,0.528,0.52,0.502,0.48,0.453,0.414,0.361,0.305,0.264,0.247,0.245,0.244,0.242,0.245,0.257,0.274,0.288,0.294,0.295,0.295,0.295,0.295,0.297,0.302,0.31,0.323,0.349,0.397,0.47,0.551,0.61,0.625,0.593,0.53,0.45,0.366,0.287,0.225,0.187,0.172,0.171,0.176,0.184,0.191,0.193,0.19,0.185,0.182,0.19,0.206,0.23,0.264,0.31,0.365,0.416,0.451,0.472,0.487,0.505,0.521,0.521,0.503,0.47,0.429,0.385,0.337,0.29,0.251,0.226,0.213,0.206,0.203,0.207,0.219,0.235,0.249,0.255,0.254,0.248,0.243,0.239,0.24,0.242,0.246,0.251,0.267,0.31,0.388,0.489,0.58,0.627,0.622,0.575,0.509,0.433,0.353,0.282,0.236,0.222,0.229,0.239,0.244,0.247,0.255,0.266,0.272,0.27,0.266,0.266,0.271,0.28,0.295,0.323,0.361,0.396,0.421,0.441,0.468,0.498,0.521,0.52,0.493,0.446,0.388,0.326,0.269,0.229,0.214,0.218,0.226,0.227,0.222,0.22,0.228,0.247,0.274,0.307,0.341,0.372,0.393,0.401,0.398,0.387,0.377,0.379,0.403,0.457,0.531,0.6,0.636,0.628,0.58,0.51,0.429,0.345,0.269,0.209,0.172,0.152,0.142,0.136,0.14,0.152,0.168,0.178,0.18,0.177,0.175,0.179,0.194,0.226,0.276,0.333,0.385,0.423,0.453,0.483,0.515,0.537,0.538,0.517,0.481,0.439,0.394,0.346,0.298,0.258,0.23,0.215,0.208,0.209,0.216,0.229,0.244,0.256,0.265,0.273,0.279,0.284,0.287,0.289,0.287,0.28,0.271,0.277,0.317,0.397,0.495,0.573,0.599,0.571,0.507,0.428,0.345,0.264,0.192,0.138,0.105,0.091,0.09,0.094,0.1,0.108,0.114,0.12,0.124,0.129,0.135,0.141,0.146,0.149,0.15,0.15,0.15,0.15,0.151,0.152,0.155,0.157,0.157,0.154,0.151,0.147,0.144,0.143,0.147,0.155,0.164,0.172,0.177,0.179,0.181,0.183,0.182,0.177,0.165,0.15,0.135,0.122,0.11,0.099,0.09,0.09,0.113,0.176,0.283,0.418,0.545,0.627,0.649,0.621,0.565,0.502,0.443,0.4,0.378,0.378,0.387,0.393,0.39,0.38,0.368,0.353,0.334,0.31,0.282,0.256,0.24,0.244,0.273,0.323,0.379,0.423,0.448,0.463,0.483,0.511,0.536,0.544,0.532,0.5,0.456,0.41,0.371,0.347,0.34,0.343,0.349,0.35,0.349,0.349,0.351,0.352,0.346,0.331,0.308,0.284,0.265,0.256,0.259,0.27,0.285,0.306,0.342,0.405,0.493,0.581,0.636,0.64,0.6,0.535,0.465,0.397,0.34,0.301,0.286,0.287,0.296,0.307,0.32,0.335,0.35,0.356,0.349,0.333,0.317,0.307,0.307,0.321,0.354,0.4,0.448,0.482,0.499,0.509,0.522,0.536,0.541,0.527,0.492,0.444,0.391,0.344,0.312,0.297,0.294,0.296,0.301,0.308,0.315,0.32,0.318,0.31,0.305,0.309,0.327,0.353,0.379,0.398,0.407,0.41,0.414,0.43,0.467,0.525,0.589,0.633,0.639,0.607,0.55,0.484,0.42,0.371,0.344,0.341,0.354,0.368,0.372,0.367,0.359,0.351,0.342,0.331,0.314,0.296,0.282,0.278,0.294,0.334,0.391,0.445,0.481,0.497,0.507,0.521,0.536,0.539,0.527,0.5,0.467,0.431,0.396,0.368,0.352,0.347,0.349,0.352,0.353,0.356,0.36,0.364,0.364,0.361,0.36,0.361,0.365,0.369,0.373,0.376,0.376,0.372,0.373,0.391,0.44,0.516,0.592,0.637,0.635,0.591,0.525,0.452,0.384,0.333,0.305,0.301,0.307,0.311,0.307,0.303,0.302,0.302,0.3,0.293,0.286,0.283,0.281,0.281,0.291,0.321,0.371,0.425,0.467,0.493,0.508,0.517,0.519,0.509,0.493,0.473,0.45,0.42,0.387,0.358,0.343,0.338,0.336,0.331,0.323,0.32,0.319,0.317,0.311,0.303,0.297,0.296,0.296,0.294,0.288,0.277,0.266,0.268,0.299,0.369,0.469,0.566,0.624,0.629,0.587,0.523,0.456,0.398,0.356,0.337,0.339,0.351,0.362,0.364,0.359,0.35,0.338,0.323,0.305,0.286,0.268,0.256,0.257,0.28,0.327,0.386,0.437,0.47,0.488,0.505,0.528,0.55,0.557,0.543,0.51,0.465,0.416,0.373,0.344,0.333,0.338,0.351,0.362,0.367,0.369,0.371,0.372,0.369,0.359,0.34,0.319,0.3,0.29,0.29,0.298,0.308,0.319,0.341,0.39,0.469,0.56,0.628,0.648,0.621,0.564,0.498,0.434,0.378,0.339,0.326,0.337,0.355,0.366,0.365,0.36,0.357,0.355,0.348,0.337,0.327,0.323,0.326,0.333,0.347,0.371,0.398,0.422,0.439,0.457,0.483,0.511,0.526,0.517,0.488,0.447,0.403,0.364,0.334,0.319,0.315,0.316,0.318,0.319,0.321,0.325,0.33,0.334,0.339,0.348,0.362,0.381,0.401,0.417,0.425,0.426,0.423,0.426,0.447,0.494,0.559,0.619,0.645,0.629,0.577,0.509,0.441,0.385,0.346,0.33,0.331,0.341,0.348,0.35,0.35,0.348,0.344,0.333,0.318,0.302,0.29,0.284,0.29,0.316,0.362,0.416,0.461,0.483,0.49,0.496,0.506,0.514,0.513,0.499,0.478,0.452,0.422,0.391,0.367,0.355,0.357,0.364,0.371,0.376,0.377,0.375,0.37,0.363,0.356,0.351,0.346,0.344,0.346,0.354,0.367,0.378,0.388,0.405,0.445,0.509,0.579,0.627,0.633,0.6,0.544,0.477,0.405,0.339,0.293,0.278,0.288,0.313,0.349,0.401,0.468,0.534,0.576,0.579,0.545,0.491,0.429,0.372,0.329,0.309,0.308,0.319,0.337,0.367,0.42,0.493,0.563,0.602,0.598,0.558,0.503,0.45,0.414,0.41,0.443,0.503,0.564,0.605,0.62,0.623,0.625,0.624,0.611,0.58,0.533,0.479,0.427,0.383,0.354,0.342,0.35,0.376,0.418,0.474,0.543,0.613,0.669,0.693,0.68,0.634,0.565,0.483,0.399,0.328,0.279,0.254,0.244,0.24,0.235,0.229,0.219,0.207,0.192,0.181,0.178,0.184,0.2,0.228,0.273,0.332,0.392,0.441,0.472,0.495,0.518,0.54,0.551,0.541,0.512,0.467,0.408,0.342,0.279,0.232,0.21,0.206,0.21,0.215,0.224,0.238,0.257,0.273,0.282,0.282,0.276,0.269,0.265,0.264,0.263,0.261,0.257,0.262,0.293,0.365,0.467,0.567,0.625,0.626,0.582,0.513,0.433,0.349,0.272,0.217,0.194,0.194,0.203,0.21,0.217,0.228,0.241,0.248,0.246,0.242,0.246,0.258,0.275,0.297,0.328,0.367,0.404,0.431,0.451,0.471,0.496,0.515,0.516,0.492,0.448,0.391,0.327,0.267,0.22,0.193,0.184,0.182,0.184,0.192,0.205,0.22,0.232,0.242,0.258,0.287,0.327,0.364,0.388,0.395,0.389,0.382,0.384,0.406,0.454,0.522,0.589,0.629,0.627,0.585,0.519,0.442,0.363,0.288,0.227,0.186,0.161,0.146,0.138,0.138,0.15,0.165,0.176,0.178,0.175,0.173,0.177,0.192,0.225,0.278,0.343,0.403,0.448,0.478,0.505,0.534,0.556,0.556,0.531,0.488,0.435,0.377,0.318,0.265,0.228,0.207,0.195,0.188,0.186,0.194,0.213,0.236,0.256,0.271,0.281,0.289,0.295,0.298,0.299,0.294,0.282,0.267,0.264,0.295,0.371,0.476,0.574,0.626,0.621,0.571,0.498,0.422,0.367,0.358,0.409,0.502,0.591,0.632,0.617,0.563,0.493,0.423,0.372,0.361,0.404,0.482,0.556,0.593,0.584,0.541,0.482,0.422,0.382,0.383,0.436,0.517,0.585,0.608,0.584,0.53,0.462,0.391,0.326,0.275,0.244,0.228,0.221,0.22,0.226,0.236,0.242,0.241,0.237,0.236,0.24,0.244,0.251,0.269,0.304,0.353,0.402,0.441,0.473,0.51,0.554,0.593,0.605,0.582,0.531,0.465,0.395,0.326,0.266,0.223,0.202,0.198,0.2,0.202,0.205,0.207,0.207,0.204,0.2,0.2,0.204,0.215,0.233,0.263,0.304,0.35,0.39,0.42,0.445,0.473,0.5,0.515,0.507,0.478,0.435,0.385,0.333,0.281,0.237,0.209,0.197,0.194,0.193,0.195,0.205,0.222,0.242,0.255,0.262,0.263,0.262,0.262,0.263,0.264,0.264,0.262,0.261,0.279,0.334,0.426,0.532,0.61,0.634,0.605,0.544,0.468,0.387,0.31,0.256,0.235,0.244,0.26,0.266,0.256,0.24,0.225,0.215,0.214,0.227,0.255,0.289,0.317,0.335,0.354,0.384,0.427,0.47,0.504,0.529,0.547,0.558,0.554,0.531,0.488,0.43,0.364,0.301,0.256,0.241,0.25,0.267,0.274,0.268,0.265,0.277,0.304,0.332,0.348,0.35,0.343,0.335,0.329,0.326,0.328,0.335,0.35,0.379,0.427,0.496,0.569,0.622,0.634,0.603,0.542,0.466,0.386,0.31,0.246,0.2,0.171,0.151,0.137,0.132,0.141,0.159,0.177,0.187,0.189,0.189,0.192,0.203,0.225,0.266,0.322,0.382,0.43,0.462,0.485,0.508,0.528,0.533,0.519,0.488,0.449,0.405,0.356,0.304,0.261,0.23,0.213,0.203,0.197,0.197,0.205,0.219,0.233,0.247,0.26,0.272,0.281,0.284,0.283,0.278,0.27,0.259,0.257,0.28,0.343,0.436,0.528,0.583,0.585,0.543,0.477,0.406,0.336,0.273,0.222,0.187,0.17,0.164,0.164,0.165,0.165,0.164,0.161,0.156,0.15,0.145,0.142,0.14,0.138,0.137,0.136,0.137,0.137,0.136,0.133,0.128,0.123,0.12,0.124,0.134,0.149,0.159,0.16,0.156,0.153,0.158,0.167,0.173,0.174,0.174,0.181,0.196,0.211,0.223,0.227,0.227,0.225,0.22,0.209,0.189,0.159,0.125,0.092,0.065,0.048,0.037,0.031,0.026,0.023,0.019,0.017,0.015,0.016,0.018,0.022,0.025,0.026,0.024,0.022,0.018,0.016,0.014,0.013,0.012,0.01,0.008,0.006,0.005,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.004,0.008,0.017,0.032,0.054,0.081,0.104,0.117,0.113,0.095,0.071,0.053,0.05,0.066,0.096,0.128,0.15,0.155,0.145,0.129,0.113,0.1,0.097,0.106,0.125,0.147,0.161,0.164,0.158,0.147,0.13,0.106,0.079,0.052,0.032,0.02,0.015,0.013,0.015,0.02,0.029,0.043,0.059,0.076,0.092,0.107,0.117,0.124,0.124,0.118,0.106,0.088,0.067,0.047,0.031,0.02,0.014,0.01,0.008,0.007,0.006,0.006,0.008,0.01,0.014,0.019,0.03,0.05,0.081,0.118,0.143,0.145,0.122,0.087,0.054,0.032,0.021,0.016,0.013,0.011,0.01,0.009,0.008,0.007,0.007,0.007,0.006,0.006,0.005,0.005,0.005,0.005,0.004,0.004,0.004]