[0.084,0.083,0.08,0.076,0.072,0.069,0.068,0.069,0.071,0.075,0.079,0.086,0.092,0.097,0.1,0.1,0.098,0.095,0.093,0.094,0.098,0.104,0.108,0.108,0.107,0.105,0.107,0.11,0.113,0.114,0.113,0.111,0.11,0.109,0.108,0.106,0.103,0.103,0.105,0.107,0.107,0.103,0.099,0.098,0.1,0.106,0.115,0.126,0.14,0.155,0.166,0.169,0.164,0.154,0.144,0.135,0.128,0.122,0.116,0.11,0.107,0.107,0.11,0.119,0.132,0.146,0.157,0.164,0.167,0.165,0.161,0.157,0.154,0.155,0.16,0.166,0.169,0.167,0.162,0.155,0.151,0.152,0.156,0.16,0.161,0.159,0.157,0.158,0.162,0.168,0.173,0.175,0.176,0.18,0.187,0.197,0.208,0.216,0.218,0.215,0.211,0.209,0.212,0.226,0.256,0.304,0.362,0.418,0.461,0.485,0.485,0.463,0.423,0.376,0.331,0.291,0.251,0.205,0.156,0.112,0.085,0.082,0.099,0.117,0.12,0.104,0.082,0.068,0.076,0.102,0.134,0.158,0.167,0.164,0.156,0.151,0.15,0.144,0.129,0.104,0.08,0.071,0.083,0.107,0.128,0.133,0.125,0.112,0.108,0.113,0.122,0.127,0.126,0.123,0.12,0.117,0.113,0.119,0.144,0.195,0.265,0.34,0.409,0.465,0.5,0.508,0.487,0.449,0.407,0.369,0.336,0.308,0.282,0.262,0.248,0.24,0.235,0.229,0.22,0.21,0.204,0.204,0.214,0.228,0.238,0.236,0.218,0.187,0.149,0.113,0.087,0.077,0.086,0.113,0.151,0.188,0.212,0.218,0.211,0.197,0.179,0.159,0.137,0.116,0.1,0.097,0.108,0.126,0.147,0.165,0.176,0.182,0.185,0.188,0.195,0.214,0.243,0.275,0.292,0.286,0.261,0.232,0.211,0.207,0.216,0.236,0.258,0.275,0.278,0.268,0.253,0.243,0.241,0.24,0.238,0.232,0.229,0.231,0.234,0.231,0.224,0.217,0.22,0.234,0.254,0.27,0.277,0.273,0.264,0.252,0.241,0.234,0.235,0.246,0.26,0.268,0.264,0.247,0.222,0.199,0.184,0.183,0.196,0.218,0.243,0.259,0.262,0.251,0.236,0.225,0.224,0.232,0.244,0.251,0.25,0.244,0.236,0.224,0.211,0.2,0.197,0.203,0.215,0.229,0.238,0.242,0.239,0.228,0.212,0.197,0.192,0.201,0.215,0.223,0.216,0.198,0.18,0.172,0.177,0.185,0.187,0.18,0.17,0.162,0.162,0.171,0.19,0.217,0.245,0.265,0.272,0.271,0.269,0.272,0.277,0.276,0.268,0.258,0.249,0.244,0.243,0.246,0.258,0.28,0.312,0.346,0.369,0.371,0.352,0.325,0.304,0.295,0.293,0.293,0.294,0.296,0.297,0.293,0.28,0.259,0.233,0.206,0.182,0.168,0.164,0.165,0.169,0.173,0.182,0.196,0.208,0.209,0.196,0.176,0.162,0.162,0.174,0.191,0.202,0.204,0.202,0.205,0.221,0.249,0.277,0.291,0.289,0.277,0.265,0.263,0.269,0.279,0.285,0.285,0.28,0.272,0.267,0.272,0.289,0.318,0.348,0.369,0.376,0.375,0.373,0.371,0.365,0.356,0.347,0.343,0.342,0.335,0.318,0.29,0.256,0.225,0.2,0.186,0.182,0.185,0.193,0.204,0.221,0.244,0.264,0.275,0.274,0.267,0.264,0.267,0.279,0.296,0.314,0.328,0.332,0.325,0.308,0.287,0.267,0.256,0.255,0.26,0.264,0.262,0.257,0.252,0.249,0.25,0.251,0.253,0.258,0.271,0.293,0.32,0.341,0.346,0.337,0.327,0.324,0.329,0.335,0.336,0.332,0.327,0.322,0.316,0.306,0.291,0.268,0.236,0.205,0.188,0.197,0.229,0.264,0.282,0.274,0.252,0.232,0.226,0.231,0.235,0.228,0.21,0.187,0.171,0.168,0.176,0.191,0.211,0.237,0.267,0.293,0.309,0.312,0.306,0.297,0.288,0.281,0.275,0.267,0.259,0.249,0.241,0.241,0.257,0.292,0.337,0.373,0.386,0.371,0.342,0.316,0.305,0.311,0.327,0.347,0.366,0.379,0.385,0.385,0.38,0.369,0.352,0.328,0.303,0.287,0.285,0.294,0.306,0.312,0.313,0.31,0.307,0.305,0.302,0.298,0.293,0.291,0.294,0.3,0.307,0.313,0.314,0.31,0.302,0.295,0.294,0.3,0.309,0.313,0.308,0.292,0.271,0.252,0.239,0.231,0.225,0.219,0.217,0.218,0.223,0.228,0.229,0.223,0.21,0.193,0.176,0.163,0.156,0.154,0.154,0.154,0.153,0.152,0.151,0.152,0.154,0.157,0.16,0.163,0.168,0.172,0.177,0.181,0.184,0.187,0.19,0.194,0.196,0.196,0.194,0.194,0.2,0.213,0.232,0.251,0.266,0.272,0.269,0.259,0.241,0.212,0.174,0.131,0.092,0.067,0.061,0.072,0.094,0.116,0.139,0.167,0.21,0.271,0.34,0.395,0.422,0.418,0.395,0.371,0.355,0.352,0.365,0.389,0.412,0.423,0.417,0.397,0.374,0.356,0.346,0.341,0.341,0.345,0.351,0.359,0.366,0.373,0.381,0.394,0.411,0.424,0.426,0.411,0.386,0.364,0.354,0.36,0.376,0.399,0.422,0.438,0.442,0.431,0.414,0.4,0.392,0.39,0.389,0.387,0.383,0.377,0.366,0.351,0.337,0.334,0.349,0.378,0.407,0.419,0.409,0.384,0.359,0.342,0.336,0.341,0.358,0.384,0.411,0.424,0.415,0.386,0.35,0.32,0.303,0.297,0.302,0.317,0.34,0.364,0.381,0.386,0.386,0.391,0.402,0.41,0.406,0.389,0.368,0.353,0.35,0.358,0.373,0.394,0.414,0.429,0.429,0.413,0.392,0.376,0.375,0.389,0.411,0.431,0.444,0.448,0.446,0.442,0.443,0.45,0.459,0.466,0.465,0.451,0.425,0.397,0.379,0.379,0.396,0.422,0.447,0.463,0.465,0.453,0.433,0.415,0.404,0.4,0.397,0.392,0.388,0.389,0.4,0.419,0.438,0.45,0.456,0.46,0.47,0.484,0.494,0.49,0.468,0.434,0.402,0.388,0.394,0.415,0.438,0.453,0.455,0.447,0.436,0.424,0.414,0.407,0.404,0.406,0.409,0.409,0.407,0.403,0.403,0.411,0.426,0.442,0.444,0.424,0.387,0.352,0.334,0.34,0.363,0.395,0.428,0.456,0.471,0.469,0.451,0.426,0.403,0.386,0.376,0.373,0.377,0.388,0.404,0.418,0.427,0.434,0.443,0.453,0.459,0.455,0.442,0.427,0.414,0.407,0.404,0.404,0.412,0.431,0.454,0.468,0.46,0.429,0.393,0.368,0.367,0.385,0.406,0.416,0.411,0.395,0.375,0.358,0.35,0.357,0.378,0.404,0.421,0.418,0.398,0.374,0.359,0.358,0.37,0.39,0.413,0.428,0.43,0.422,0.413,0.407,0.404,0.398,0.39,0.38,0.374,0.369,0.364,0.36,0.363,0.376,0.4,0.426,0.445,0.449,0.436,0.415,0.395,0.383,0.383,0.394,0.413,0.436,0.454,0.458,0.443,0.415,0.384,0.363,0.358,0.365,0.377,0.385,0.385,0.381,0.377,0.378,0.385,0.401,0.423,0.444,0.456,0.453,0.437,0.417,0.405,0.408,0.424,0.448,0.469,0.477,0.471,0.453,0.435,0.424,0.422,0.425,0.429,0.434,0.439,0.441,0.435,0.416,0.389,0.367,0.367,0.391,0.426,0.454,0.459,0.441,0.41,0.381,0.366,0.371,0.393,0.42,0.441,0.451,0.453,0.453,0.451,0.443,0.428,0.411,0.398,0.398,0.408,0.422,0.434,0.441,0.445,0.448,0.451,0.451,0.445,0.432,0.416,0.405,0.406,0.416,0.43,0.441,0.448,0.45,0.45,0.448,0.445,0.436,0.415,0.383,0.354,0.338,0.344,0.364,0.382,0.391,0.392,0.398,0.417,0.443,0.459,0.448,0.409,0.355,0.307,0.281,0.28,0.304,0.347,0.397,0.438,0.452,0.436,0.402,0.366,0.342,0.331,0.331,0.338,0.35,0.362,0.368,0.365,0.359,0.36,0.376,0.405,0.433,0.447,0.441,0.425,0.413,0.413,0.424,0.442,0.461,0.48,0.491,0.491,0.482,0.467,0.447,0.422,0.39,0.361,0.346,0.352,0.373,0.399,0.42,0.437,0.452,0.467,0.478,0.478,0.458,0.426,0.394,0.378,0.383,0.404,0.431,0.455,0.471,0.475,0.465,0.447,0.427,0.41,0.398,0.391,0.39,0.395,0.404,0.411,0.413,0.408,0.405,0.411,0.431,0.455,0.471,0.468,0.448,0.42,0.396,0.384,0.387,0.406,0.435,0.464,0.478,0.473,0.456,0.436,0.422,0.413,0.407,0.405,0.409,0.417,0.423,0.422,0.41,0.395,0.391,0.406,0.431,0.449,0.442,0.406,0.356,0.311,0.286,0.287,0.312,0.354,0.401,0.436,0.446,0.434,0.41,0.387,0.371,0.361,0.355,0.35,0.345,0.339,0.331,0.327,0.336,0.362,0.404,0.446,0.47,0.468,0.445,0.416,0.395,0.389,0.398,0.418,0.445,0.471,0.488,0.492,0.486,0.472,0.455,0.434,0.414,0.399,0.399,0.412,0.43,0.444,0.45,0.453,0.459,0.468,0.473,0.464,0.44,0.41,0.386,0.377,0.384,0.404,0.432,0.462,0.482,0.483,0.463,0.433,0.407,0.394,0.394,0.405,0.426,0.452,0.475,0.485,0.478,0.463,0.451,0.456,0.479,0.51,0.535,0.545,0.545,0.545,0.55,0.556,0.555,0.541,0.518,0.497,0.487,0.492,0.506,0.518,0.521,0.518,0.514,0.517,0.526,0.533,0.531,0.518,0.503,0.496,0.503,0.518,0.531,0.534,0.525,0.51,0.5,0.498,0.499,0.495,0.482,0.465,0.457,0.463,0.482,0.502,0.513,0.508,0.492,0.474,0.466,0.473,0.486,0.495,0.49,0.475,0.46,0.459,0.472,0.488,0.49,0.465,0.414,0.351,0.293,0.253,0.234,0.233,0.243,0.256,0.266,0.269,0.267,0.262,0.258,0.256,0.259,0.267,0.279,0.29,0.297,0.298,0.294,0.287,0.281,0.278,0.277,0.279,0.284,0.29,0.297,0.303,0.305,0.302,0.293,0.281,0.275,0.276,0.285,0.296,0.304,0.306,0.301,0.291,0.277,0.263,0.253,0.248,0.251,0.267,0.301,0.353,0.412,0.458,0.476,0.468,0.45,0.439,0.441,0.45,0.45,0.431,0.403,0.384,0.389,0.412,0.432,0.425,0.39,0.348,0.326,0.337,0.371,0.404,0.415,0.405,0.388,0.384,0.399,0.422,0.434,0.424,0.398,0.376,0.373,0.392,0.418,0.43,0.42,0.399,0.383,0.387,0.406,0.425,0.428,0.413,0.392,0.382,0.392,0.413,0.425,0.415,0.386,0.359,0.353,0.374,0.407,0.432,0.436,0.428,0.423,0.431,0.446,0.456,0.451,0.435,0.417,0.412,0.423,0.442,0.454,0.449,0.429,0.41,0.404,0.417,0.439,0.454,0.454,0.442,0.43,0.426,0.432,0.439,0.439,0.433,0.427,0.427,0.436,0.448,0.454,0.449,0.433,0.413,0.402,0.406,0.422,0.44,0.45,0.447,0.435,0.425,0.426,0.437,0.45,0.452,0.444,0.436,0.439,0.455,0.473,0.479,0.468,0.452,0.445,0.453,0.47,0.481,0.472,0.448,0.422,0.412,0.424,0.447,0.463,0.459,0.442,0.427,0.429,0.449,0.473,0.486,0.481,0.467,0.458,0.462,0.476,0.487,0.487,0.473,0.459,0.455,0.465,0.48,0.49,0.486,0.472,0.459,0.458,0.469,0.485,0.493,0.487,0.474,0.463,0.466,0.483,0.502,0.512,0.505,0.489,0.479,0.48,0.488,0.488,0.467,0.426,0.375,0.326,0.283,0.241,0.197,0.156,0.127,0.12,0.135,0.162,0.18,0.177,0.156,0.131,0.121,0.134,0.16,0.183,0.19,0.181,0.168,0.162,0.164,0.165,0.157,0.137,0.112,0.096,0.098,0.116,0.136,0.146,0.138,0.123,0.114,0.118,0.135,0.155,0.168,0.173,0.173,0.169,0.161,0.146,0.125,0.101,0.078,0.063,0.057,0.06,0.066,0.07,0.071,0.073,0.081,0.1,0.127,0.157,0.185,0.207,0.224,0.237,0.244,0.245,0.242,0.24,0.242,0.249,0.257,0.26,0.254,0.24,0.222,0.204,0.19,0.181,0.177,0.177,0.184,0.197,0.216,0.234,0.248,0.254,0.252,0.244,0.233,0.22,0.206,0.19,0.174,0.166,0.17,0.187,0.209,0.23,0.245,0.256,0.268,0.286,0.316,0.359,0.413,0.466,0.501,0.505,0.475,0.427,0.377,0.342,0.331,0.347,0.386,0.435,0.472,0.479,0.454,0.409,0.362,0.327,0.309,0.314,0.344,0.392,0.438,0.459,0.448,0.42,0.401,0.406,0.43,0.453,0.452,0.423,0.376,0.329,0.297,0.291,0.313,0.359,0.415,0.46,0.474,0.452,0.406,0.353,0.31,0.288,0.295,0.332,0.388,0.437,0.455,0.436,0.401,0.38,0.391,0.425,0.454,0.456,0.427,0.384,0.347,0.329,0.331,0.353,0.389,0.427,0.449,0.437,0.392,0.337,0.3,0.297,0.326,0.374,0.429,0.477,0.505,0.502,0.467,0.421,0.39,0.397,0.432,0.472,0.487,0.467,0.423,0.375,0.344,0.344,0.376,0.428,0.482,0.515,0.516,0.492,0.459,0.432,0.417,0.414,0.421,0.44,0.467,0.489,0.492,0.474,0.447,0.435,0.449,0.485,0.521,0.541,0.541,0.531,0.521,0.517,0.52,0.529,0.542,0.556,0.564,0.559,0.542,0.516,0.487,0.46,0.439,0.428,0.43,0.445,0.467,0.489,0.507,0.522,0.536,0.546,0.545,0.528,0.492,0.446,0.4,0.366,0.351,0.36,0.392,0.443,0.492,0.524,0.524,0.498,0.46,0.428,0.412,0.413,0.424,0.44,0.455,0.464,0.462,0.449,0.435,0.436,0.459,0.494,0.522,0.53,0.523,0.509,0.502,0.504,0.516,0.533,0.549,0.559,0.556,0.542,0.52,0.494,0.468,0.443,0.422,0.412,0.419,0.441,0.468,0.49,0.503,0.512,0.52,0.529,0.533,0.524,0.502,0.475,0.453,0.445,0.448,0.46,0.478,0.502,0.521,0.527,0.515,0.492,0.465,0.445,0.432,0.426,0.425,0.43,0.436,0.439,0.436,0.429,0.431,0.448,0.477,0.505,0.518,0.511,0.489,0.468,0.458,0.463,0.482,0.508,0.535,0.552,0.555,0.544,0.527,0.512,0.5,0.49,0.48,0.473,0.475,0.482,0.487,0.485,0.478,0.481,0.505,0.546,0.579,0.582,0.544,0.48,0.417,0.378,0.374,0.405,0.463,0.532,0.587,0.609,0.594,0.555,0.513,0.482,0.464,0.455,0.451,0.45,0.449,0.444,0.437,0.436,0.453,0.494,0.545,0.584,0.592,0.568,0.531,0.502,0.494,0.505,0.533,0.568,0.603,0.624,0.625,0.605,0.573,0.537,0.504,0.479,0.465,0.464,0.476,0.491,0.503,0.512,0.525,0.547,0.579,0.608,0.616,0.593,0.545,0.49,0.449,0.434,0.447,0.484,0.533,0.577,0.597,0.586,0.55,0.506,0.472,0.456,0.46,0.483,0.522,0.566,0.596,0.6,0.578,0.551,0.54,0.556,0.587,0.609,0.609,0.593,0.578,0.581,0.601,0.623,0.629,0.615,0.592,0.577,0.58,0.598,0.615,0.619,0.609,0.597,0.595,0.61,0.63,0.64,0.63,0.607,0.587,0.586,0.604,0.626,0.634,0.617,0.589,0.567,0.569,0.59,0.611,0.614,0.593,0.567,0.555,0.568,0.596,0.617,0.613,0.586,0.556,0.545,0.561,0.591,0.611,0.606,0.579,0.548,0.537,0.553,0.585,0.609,0.604,0.565,0.501,0.425,0.35,0.283,0.232,0.2,0.186,0.183,0.184,0.185,0.182,0.178,0.173,0.172,0.175,0.181,0.184,0.183,0.181,0.191,0.231,0.313,0.435,0.57,0.685,0.754,0.771,0.742,0.674,0.576,0.464,0.359,0.279,0.229,0.204,0.194,0.19,0.186,0.18,0.175,0.172,0.173,0.178,0.183,0.188,0.196,0.219,0.271,0.363,0.488,0.619,0.725,0.788,0.807,0.792,0.746,0.67,0.569,0.462,0.372,0.33,0.353,0.439,0.557,0.663,0.723,0.731,0.701,0.652,0.589,0.514,0.428,0.349,0.302,0.311,0.387,0.511,0.647,0.757,0.821,0.846,0.848,0.843,0.838,0.834,0.833,0.834,0.833,0.83,0.823,0.816,0.812,0.812,0.815,0.817,0.819,0.821,0.823,0.827,0.831,0.831,0.824,0.808,0.781,0.74,0.681,0.599,0.502,0.408,0.333,0.282,0.248,0.219,0.192,0.171,0.165,0.179,0.206,0.231,0.242,0.235,0.219,0.207,0.206,0.215,0.225,0.228,0.226,0.226,0.235,0.255,0.274,0.28,0.264,0.232,0.196,0.17,0.158,0.155,0.154,0.149,0.148,0.158,0.18,0.206,0.225,0.231,0.231,0.23,0.233,0.237,0.237,0.226,0.203,0.17,0.134,0.099,0.07,0.047,0.032,0.026,0.033,0.056,0.09,0.127,0.16,0.186,0.207,0.224,0.235,0.234,0.223,0.208,0.195,0.189,0.194,0.212,0.242,0.278,0.31,0.33,0.333,0.322,0.299,0.266,0.23,0.197,0.176,0.167,0.168,0.173,0.18,0.191,0.208,0.232,0.254,0.264,0.25,0.219,0.182,0.156,0.146,0.146,0.145,0.139,0.127,0.113,0.104,0.104,0.121,0.154,0.199,0.244,0.279,0.3,0.308,0.309,0.313,0.324,0.345,0.37,0.388,0.395,0.393,0.395,0.408,0.427,0.439,0.437,0.423,0.409,0.4,0.396,0.392,0.386,0.382,0.383,0.391,0.401,0.408,0.41,0.408,0.403,0.397,0.387,0.375,0.366,0.365,0.374,0.388,0.398,0.398,0.388,0.373,0.359,0.35,0.35,0.358,0.367,0.372,0.37,0.364,0.359,0.361,0.37,0.385,0.396,0.395,0.38,0.358,0.34,0.331,0.33,0.33,0.327,0.321,0.314,0.308,0.307,0.309,0.316,0.322,0.325,0.325,0.326,0.332,0.343,0.355,0.361,0.358,0.352,0.351,0.362,0.382,0.4,0.407,0.4,0.385,0.369,0.358,0.358,0.372,0.396,0.424,0.444,0.45,0.444,0.432,0.419,0.407,0.393,0.378,0.368,0.366,0.37,0.375,0.376,0.376,0.381,0.398,0.422,0.444,0.449,0.432,0.399,0.361,0.33,0.314,0.315,0.332,0.356,0.375,0.377,0.365,0.347,0.332,0.32,0.31,0.304,0.308,0.325,0.35,0.371,0.381,0.381,0.385,0.401,0.427,0.451,0.457,0.439,0.401,0.354,0.31,0.275,0.256,0.259,0.287,0.334,0.379,0.405,0.4,0.372,0.338,0.317,0.318,0.338,0.37,0.4,0.422,0.426,0.41,0.381,0.355,0.349,0.367,0.401,0.43,0.436,0.413,0.37,0.324,0.289,0.278,0.295,0.331,0.371,0.399,0.408,0.405,0.398,0.391,0.382,0.371,0.368,0.383,0.418,0.46,0.491,0.499,0.49,0.478,0.478,0.49,0.504,0.509,0.502,0.488,0.475,0.466,0.462,0.463,0.471,0.484,0.496,0.498,0.489,0.475,0.462,0.452,0.445,0.438,0.435,0.439,0.447,0.451,0.445,0.431,0.419,0.42,0.437,0.461,0.483,0.501,0.519,0.539,0.557,0.565,0.561,0.547,0.533,0.522,0.516,0.51,0.504,0.503,0.505,0.509,0.511,0.516,0.526,0.541,0.553,0.549,0.526,0.493,0.468,0.467,0.494,0.533,0.564,0.568,0.543,0.499,0.452,0.417,0.403,0.416,0.451,0.496,0.534,0.554,0.557,0.547,0.532,0.517,0.506,0.505,0.513,0.524,0.531,0.527,0.514,0.502,0.497,0.503,0.512,0.515,0.507,0.491,0.474,0.46,0.454,0.455,0.466,0.486,0.512,0.535,0.548,0.551,0.55,0.548,0.546,0.541,0.536,0.538,0.553,0.578,0.599,0.607,0.598,0.581,0.565,0.556,0.551,0.548,0.547,0.548,0.549,0.544,0.534,0.524,0.521,0.526,0.534,0.538,0.537,0.535,0.536,0.541,0.544,0.544,0.544,0.551,0.563,0.573,0.571,0.554,0.531,0.514,0.51,0.517,0.524,0.522,0.506,0.476,0.435,0.386,0.335,0.292,0.26,0.243,0.236,0.234,0.233,0.23,0.225,0.222,0.222,0.224,0.229,0.233,0.233,0.23,0.225,0.22,0.217,0.216,0.216,0.216,0.217,0.217,0.219,0.228,0.249,0.283,0.325,0.362,0.386,0.394,0.392,0.384,0.368,0.338,0.29,0.227,0.165,0.124,0.117,0.141,0.178,0.21,0.225,0.229,0.231,0.235,0.237,0.229,0.204,0.164,0.117,0.072,0.037,0.016,0.005,0.001,0,0,0,0,0]