[0.243,0.246,0.254,0.265,0.273,0.271,0.259,0.245,0.234,0.229,0.226,0.217,0.199,0.175,0.153,0.143,0.151,0.171,0.193,0.206,0.209,0.209,0.21,0.213,0.214,0.212,0.209,0.212,0.222,0.233,0.238,0.239,0.243,0.255,0.273,0.285,0.278,0.254,0.228,0.221,0.238,0.266,0.284,0.276,0.243,0.196,0.148,0.107,0.077,0.059,0.051,0.05,0.055,0.068,0.093,0.131,0.17,0.195,0.196,0.176,0.149,0.13,0.128,0.145,0.175,0.207,0.23,0.242,0.242,0.236,0.225,0.212,0.2,0.192,0.191,0.195,0.202,0.207,0.206,0.2,0.189,0.178,0.17,0.167,0.166,0.163,0.156,0.149,0.143,0.141,0.14,0.135,0.126,0.114,0.103,0.094,0.088,0.083,0.08,0.077,0.076,0.078,0.084,0.1,0.131,0.175,0.22,0.253,0.268,0.267,0.261,0.26,0.27,0.29,0.312,0.328,0.331,0.323,0.308,0.287,0.259,0.225,0.193,0.174,0.171,0.182,0.2,0.218,0.227,0.225,0.211,0.192,0.177,0.169,0.166,0.165,0.163,0.159,0.156,0.156,0.159,0.16,0.158,0.153,0.149,0.144,0.136,0.13,0.131,0.14,0.149,0.148,0.135,0.115,0.098,0.087,0.084,0.09,0.104,0.12,0.129,0.128,0.122,0.12,0.128,0.142,0.153,0.154,0.145,0.132,0.118,0.108,0.103,0.104,0.111,0.124,0.139,0.153,0.162,0.165,0.163,0.158,0.149,0.135,0.116,0.093,0.073,0.064,0.066,0.073,0.075,0.069,0.055,0.04,0.029,0.025,0.027,0.034,0.048,0.074,0.111,0.155,0.195,0.222,0.234,0.238,0.239,0.241,0.243,0.246,0.251,0.267,0.301,0.351,0.402,0.434,0.435,0.414,0.385,0.36,0.342,0.331,0.327,0.332,0.343,0.35,0.344,0.319,0.283,0.256,0.255,0.283,0.327,0.359,0.361,0.333,0.295,0.265,0.251,0.251,0.256,0.257,0.254,0.25,0.251,0.256,0.262,0.265,0.266,0.271,0.282,0.294,0.302,0.303,0.298,0.284,0.26,0.227,0.195,0.178,0.184,0.219,0.278,0.344,0.391,0.399,0.367,0.318,0.274,0.248,0.238,0.235,0.237,0.244,0.251,0.251,0.234,0.199,0.161,0.145,0.17,0.233,0.307,0.358,0.365,0.335,0.291,0.252,0.227,0.213,0.203,0.196,0.19,0.184,0.18,0.179,0.184,0.197,0.219,0.246,0.27,0.281,0.276,0.262,0.25,0.246,0.249,0.248,0.239,0.226,0.222,0.24,0.284,0.341,0.387,0.405,0.395,0.371,0.348,0.332,0.322,0.315,0.311,0.311,0.315,0.32,0.324,0.323,0.321,0.329,0.351,0.386,0.416,0.426,0.407,0.371,0.332,0.304,0.288,0.279,0.268,0.25,0.227,0.204,0.187,0.179,0.181,0.193,0.215,0.244,0.273,0.293,0.298,0.288,0.269,0.249,0.234,0.224,0.22,0.223,0.236,0.264,0.307,0.348,0.37,0.361,0.332,0.296,0.264,0.239,0.221,0.212,0.214,0.225,0.234,0.23,0.205,0.166,0.135,0.139,0.185,0.256,0.314,0.333,0.308,0.262,0.22,0.193,0.181,0.176,0.174,0.172,0.171,0.172,0.173,0.176,0.181,0.193,0.214,0.24,0.262,0.272,0.271,0.268,0.27,0.276,0.281,0.277,0.265,0.253,0.254,0.28,0.331,0.383,0.415,0.412,0.384,0.35,0.324,0.309,0.301,0.295,0.291,0.29,0.292,0.291,0.283,0.267,0.256,0.263,0.295,0.336,0.364,0.364,0.338,0.303,0.274,0.256,0.243,0.231,0.219,0.212,0.215,0.23,0.25,0.268,0.279,0.287,0.295,0.304,0.307,0.297,0.271,0.236,0.199,0.168,0.148,0.144,0.161,0.202,0.265,0.339,0.405,0.441,0.438,0.407,0.367,0.334,0.313,0.299,0.291,0.285,0.284,0.284,0.28,0.268,0.249,0.234,0.239,0.27,0.319,0.362,0.376,0.356,0.316,0.277,0.249,0.234,0.224,0.214,0.204,0.195,0.189,0.188,0.191,0.198,0.208,0.223,0.245,0.266,0.277,0.272,0.258,0.252,0.261,0.279,0.295,0.304,0.309,0.319,0.342,0.375,0.405,0.415,0.398,0.365,0.335,0.317,0.31,0.307,0.306,0.306,0.31,0.314,0.312,0.299,0.278,0.259,0.262,0.293,0.345,0.389,0.402,0.378,0.337,0.302,0.287,0.291,0.304,0.312,0.312,0.303,0.292,0.28,0.269,0.258,0.251,0.252,0.263,0.28,0.296,0.303,0.301,0.291,0.273,0.247,0.217,0.193,0.185,0.206,0.254,0.315,0.358,0.366,0.337,0.293,0.254,0.231,0.22,0.214,0.213,0.217,0.224,0.225,0.212,0.181,0.145,0.125,0.141,0.195,0.266,0.317,0.327,0.297,0.251,0.211,0.187,0.177,0.175,0.175,0.177,0.178,0.178,0.178,0.177,0.181,0.195,0.221,0.256,0.286,0.3,0.294,0.276,0.256,0.244,0.238,0.235,0.229,0.22,0.215,0.224,0.248,0.282,0.312,0.33,0.333,0.324,0.305,0.276,0.239,0.201,0.172,0.166,0.187,0.228,0.276,0.313,0.332,0.332,0.318,0.294,0.268,0.249,0.243,0.252,0.272,0.297,0.321,0.338,0.346,0.347,0.341,0.328,0.31,0.286,0.259,0.237,0.225,0.228,0.24,0.253,0.259,0.262,0.269,0.286,0.311,0.336,0.355,0.372,0.396,0.43,0.462,0.475,0.457,0.417,0.376,0.351,0.347,0.355,0.366,0.372,0.374,0.376,0.375,0.361,0.333,0.299,0.284,0.303,0.357,0.419,0.459,0.461,0.435,0.401,0.374,0.355,0.337,0.318,0.301,0.289,0.288,0.295,0.31,0.33,0.356,0.383,0.407,0.422,0.422,0.407,0.382,0.356,0.338,0.331,0.33,0.331,0.334,0.346,0.374,0.415,0.451,0.468,0.46,0.439,0.421,0.414,0.416,0.424,0.436,0.45,0.459,0.452,0.421,0.371,0.32,0.291,0.298,0.339,0.399,0.449,0.471,0.462,0.438,0.416,0.405,0.405,0.411,0.419,0.428,0.436,0.443,0.448,0.449,0.447,0.443,0.442,0.442,0.441,0.436,0.428,0.423,0.422,0.426,0.432,0.437,0.442,0.449,0.466,0.492,0.521,0.542,0.546,0.532,0.509,0.487,0.471,0.46,0.451,0.445,0.443,0.439,0.425,0.394,0.347,0.3,0.276,0.292,0.345,0.413,0.465,0.484,0.476,0.459,0.446,0.444,0.446,0.449,0.45,0.451,0.453,0.456,0.46,0.464,0.469,0.476,0.485,0.495,0.503,0.507,0.504,0.497,0.489,0.481,0.474,0.467,0.463,0.463,0.471,0.487,0.503,0.511,0.504,0.486,0.467,0.451,0.44,0.428,0.418,0.412,0.414,0.419,0.421,0.412,0.393,0.373,0.368,0.385,0.42,0.455,0.474,0.472,0.456,0.439,0.428,0.425,0.426,0.432,0.441,0.451,0.46,0.463,0.461,0.454,0.446,0.437,0.422,0.396,0.357,0.312,0.274,0.252,0.246,0.249,0.255,0.258,0.264,0.282,0.319,0.376,0.435,0.476,0.486,0.472,0.449,0.433,0.426,0.426,0.427,0.426,0.424,0.417,0.4,0.369,0.331,0.303,0.305,0.342,0.4,0.447,0.46,0.438,0.403,0.381,0.383,0.399,0.413,0.416,0.41,0.405,0.406,0.411,0.413,0.409,0.4,0.395,0.398,0.403,0.407,0.405,0.401,0.396,0.393,0.39,0.385,0.381,0.383,0.398,0.427,0.464,0.493,0.504,0.494,0.474,0.455,0.445,0.442,0.443,0.445,0.448,0.446,0.432,0.398,0.348,0.303,0.286,0.309,0.361,0.414,0.444,0.445,0.429,0.415,0.411,0.416,0.423,0.428,0.433,0.439,0.446,0.453,0.457,0.459,0.458,0.457,0.458,0.461,0.465,0.466,0.463,0.458,0.454,0.453,0.455,0.46,0.469,0.484,0.507,0.533,0.552,0.552,0.53,0.496,0.469,0.458,0.46,0.467,0.473,0.478,0.484,0.491,0.494,0.485,0.46,0.424,0.393,0.385,0.41,0.456,0.501,0.527,0.528,0.511,0.487,0.462,0.445,0.436,0.437,0.442,0.448,0.453,0.456,0.457,0.458,0.463,0.475,0.49,0.501,0.501,0.492,0.48,0.47,0.465,0.46,0.458,0.459,0.467,0.483,0.5,0.503,0.484,0.445,0.401,0.37,0.358,0.363,0.376,0.392,0.406,0.419,0.428,0.428,0.414,0.385,0.356,0.347,0.369,0.416,0.459,0.476,0.463,0.438,0.419,0.418,0.428,0.437,0.435,0.421,0.401,0.383,0.373,0.372,0.38,0.394,0.41,0.419,0.412,0.386,0.348,0.311,0.288,0.281,0.282,0.284,0.285,0.293,0.318,0.364,0.416,0.451,0.451,0.414,0.362,0.319,0.3,0.302,0.313,0.323,0.324,0.319,0.312,0.305,0.301,0.3,0.308,0.333,0.374,0.419,0.444,0.434,0.396,0.352,0.319,0.305,0.301,0.302,0.302,0.302,0.305,0.312,0.322,0.333,0.339,0.34,0.337,0.333,0.332,0.332,0.334,0.334,0.33,0.324,0.316,0.311,0.312,0.326,0.356,0.392,0.423,0.429,0.409,0.368,0.325,0.29,0.269,0.259,0.256,0.256,0.255,0.253,0.25,0.245,0.242,0.247,0.267,0.31,0.366,0.413,0.426,0.402,0.357,0.32,0.304,0.302,0.303,0.295,0.283,0.275,0.276,0.283,0.285,0.277,0.261,0.244,0.234,0.234,0.243,0.255,0.264,0.266,0.26,0.249,0.238,0.23,0.231,0.248,0.285,0.333,0.372,0.38,0.35,0.3,0.251,0.218,0.202,0.196,0.192,0.189,0.187,0.188,0.19,0.189,0.187,0.188,0.206,0.247,0.3,0.337,0.335,0.294,0.238,0.191,0.166,0.163,0.177,0.203,0.236,0.265,0.283,0.286,0.279,0.27,0.262,0.257,0.254,0.25,0.243,0.233,0.22,0.205,0.192,0.183,0.177,0.177,0.185,0.212,0.259,0.317,0.358,0.357,0.313,0.25,0.194,0.163,0.155,0.159,0.167,0.172,0.176,0.179,0.181,0.181,0.181,0.188,0.214,0.264,0.323,0.366,0.371,0.34,0.297,0.262,0.244,0.239,0.241,0.243,0.246,0.246,0.245,0.244,0.243,0.243,0.243,0.243,0.241,0.24,0.238,0.235,0.228,0.217,0.206,0.199,0.199,0.208,0.224,0.255,0.301,0.357,0.398,0.408,0.386,0.35,0.318,0.297,0.283,0.272,0.261,0.248,0.235,0.223,0.213,0.21,0.22,0.248,0.293,0.344,0.384,0.393,0.374,0.345,0.333,0.348,0.378,0.396,0.383,0.339,0.283,0.234,0.198,0.175,0.159,0.149,0.144,0.146,0.155,0.17,0.184,0.194,0.198,0.194,0.186,0.176,0.166,0.157,0.15,0.146,0.143,0.138,0.132,0.123,0.115,0.109,0.105,0.101,0.099,0.096,0.091,0.085,0.076,0.063,0.049,0.036,0.025,0.017,0.013,0.01,0.009,0.008,0.007,0.006,0.006,0.006,0.007,0.009,0.012,0.019,0.032,0.052,0.081,0.117,0.156,0.19,0.216,0.237,0.256,0.273,0.288,0.293,0.29,0.281,0.272,0.265,0.264,0.267,0.282,0.315,0.369,0.432,0.481,0.498,0.484,0.452,0.42,0.4,0.391,0.388,0.388,0.391,0.396,0.4,0.394,0.374,0.349,0.341,0.366,0.418,0.472,0.5,0.489,0.453,0.413,0.388,0.385,0.396,0.408,0.415,0.417,0.416,0.418,0.421,0.425,0.433,0.443,0.453,0.456,0.451,0.445,0.446,0.457,0.472,0.483,0.483,0.474,0.464,0.462,0.476,0.506,0.537,0.554,0.547,0.522,0.494,0.476,0.47,0.473,0.482,0.491,0.501,0.509,0.515,0.519,0.521,0.526,0.533,0.541,0.544,0.535,0.517,0.495,0.481,0.479,0.488,0.499,0.509,0.515,0.517,0.514,0.509,0.503,0.501,0.503,0.51,0.517,0.521,0.517,0.506,0.493,0.484,0.48,0.479,0.478,0.48,0.487,0.502,0.525,0.551,0.572,0.58,0.567,0.538,0.503,0.472,0.45,0.435,0.428,0.428,0.436,0.452,0.473,0.493,0.509,0.52,0.53,0.542,0.554,0.556,0.54,0.506,0.467,0.435,0.42,0.419,0.426,0.434,0.44,0.445,0.447,0.445,0.442,0.442,0.449,0.464,0.481,0.495,0.499,0.492,0.476,0.456,0.438,0.423,0.414,0.411,0.415,0.43,0.459,0.497,0.531,0.544,0.534,0.507,0.477,0.452,0.434,0.42,0.409,0.404,0.406,0.415,0.422,0.417,0.395,0.369,0.356,0.371,0.408,0.443,0.455,0.44,0.413,0.392,0.388,0.399,0.416,0.431,0.44,0.442,0.438,0.43,0.423,0.42,0.422,0.428,0.436,0.439,0.432,0.416,0.394,0.374,0.361,0.355,0.355,0.357,0.359,0.356,0.342,0.319,0.29,0.262,0.239,0.221,0.207,0.195,0.186,0.179,0.174,0.17,0.165,0.161,0.158,0.156,0.155,0.155,0.154,0.152,0.149,0.146,0.144,0.143,0.141,0.139,0.137,0.135,0.135,0.135,0.135,0.135,0.133,0.131,0.13,0.133,0.143,0.161,0.185,0.212,0.237,0.256,0.27,0.28,0.287,0.291,0.291,0.285,0.276,0.266,0.261,0.264,0.274,0.286,0.294,0.299,0.3,0.296,0.289,0.278,0.266,0.259,0.258,0.26,0.261,0.258,0.249,0.235,0.218,0.202,0.187,0.172,0.158,0.143,0.132,0.131,0.141,0.161,0.182,0.197,0.2,0.195,0.193,0.197,0.203,0.202,0.183,0.148,0.111,0.087,0.086,0.108,0.14,0.169,0.183,0.18,0.164,0.143,0.124,0.113,0.107,0.107,0.11,0.12,0.136,0.154,0.165,0.165,0.155,0.141,0.128,0.119,0.108,0.096,0.081,0.068,0.058,0.052,0.048,0.045,0.043,0.042,0.04,0.039,0.038,0.038,0.038,0.038,0.038,0.037,0.037,0.037,0.04,0.046,0.059,0.079,0.107,0.139,0.174,0.208,0.235,0.252,0.258,0.256,0.253,0.252,0.25,0.242,0.227,0.206,0.186,0.176,0.182,0.201,0.224,0.241,0.244,0.235,0.218,0.201,0.188,0.182,0.183,0.191,0.205,0.223,0.241,0.256,0.268,0.276,0.282,0.28,0.268,0.242,0.207,0.172,0.151,0.153,0.173,0.197,0.215,0.221,0.216,0.203,0.186,0.167,0.152,0.141,0.131,0.123,0.123,0.14,0.175,0.215,0.244,0.255,0.249,0.233,0.215,0.197,0.179,0.164,0.156,0.164,0.187,0.218,0.244,0.255,0.247,0.229,0.207,0.187,0.17,0.156,0.145,0.138,0.135,0.135,0.137,0.14,0.144,0.149,0.155,0.161,0.168,0.177,0.188,0.201,0.215,0.228,0.238,0.244,0.247,0.247,0.245,0.24,0.23,0.214,0.193,0.173,0.157,0.149,0.147,0.149,0.151,0.153,0.155,0.157,0.164,0.18,0.204,0.232,0.255,0.27,0.276,0.281,0.286,0.293,0.298,0.296,0.28,0.252,0.219,0.193,0.179,0.175,0.177,0.179,0.182,0.19,0.206,0.228,0.251,0.269,0.28,0.282,0.275,0.256,0.225,0.189,0.162,0.155,0.17,0.198,0.225,0.24,0.243,0.238,0.23,0.223,0.22,0.218,0.216,0.207,0.19,0.168,0.151,0.148,0.157,0.168,0.173,0.171,0.169,0.175,0.19,0.211,0.231,0.246,0.255,0.254,0.242,0.219,0.188,0.154,0.12,0.092,0.072,0.059,0.052,0.048,0.046,0.044,0.042,0.04,0.038,0.035,0.033,0.03,0.029,0.028,0.027,0.027,0.027,0.029,0.034,0.051,0.084,0.132,0.182,0.216,0.227,0.225,0.229,0.245,0.266,0.283,0.287,0.279,0.26,0.235,0.214,0.203,0.203,0.206,0.204,0.196,0.188,0.184,0.182,0.179,0.176,0.175,0.176,0.177,0.179,0.184,0.194,0.203,0.204,0.191,0.168,0.148,0.14,0.15,0.173,0.199,0.221,0.236,0.245,0.247,0.244,0.236,0.229,0.227,0.233,0.246,0.26,0.272,0.278,0.282,0.283,0.281,0.27,0.25,0.225,0.2,0.178,0.159,0.143,0.131,0.123,0.119,0.118,0.119,0.12,0.12,0.12,0.122,0.127,0.14,0.158,0.176,0.188,0.192,0.189,0.182,0.174,0.166,0.159,0.153,0.146,0.14,0.135,0.131,0.13,0.13,0.13,0.13,0.131,0.131,0.132,0.133,0.132,0.13,0.128,0.126,0.125,0.122,0.115,0.105,0.094,0.088,0.092,0.107,0.128,0.143,0.144,0.129,0.103,0.075,0.049,0.03,0.019,0.013,0.01,0.009,0.007,0.006,0.006,0.007,0.01,0.014,0.02,0.028,0.04,0.063,0.103,0.162,0.229,0.287,0.322,0.334,0.33,0.32,0.308,0.298,0.288,0.28,0.274,0.269,0.267,0.266,0.263,0.258,0.252,0.246,0.241,0.239,0.238,0.24,0.245,0.252,0.26,0.265,0.266,0.264,0.26,0.256,0.253,0.251,0.25,0.251,0.253,0.253,0.252,0.249,0.247,0.246,0.246,0.247,0.248,0.249,0.248,0.247,0.245,0.243,0.243,0.246,0.25,0.256,0.267,0.292,0.338,0.402,0.468,0.514,0.526,0.512,0.487,0.467,0.456,0.452,0.451,0.453,0.453,0.448,0.434,0.411,0.384,0.368,0.376,0.41,0.459,0.493,0.495,0.466,0.426,0.394,0.38,0.377,0.382,0.39,0.399,0.409,0.418,0.425,0.43,0.432,0.436,0.441,0.445,0.445,0.439,0.427,0.412,0.397,0.385,0.379,0.376,0.379,0.39,0.413,0.451,0.498,0.537,0.553,0.543,0.521,0.498,0.482,0.473,0.471,0.473,0.478,0.479,0.465,0.434,0.39,0.349,0.334,0.355,0.409,0.472,0.517,0.531,0.522,0.506,0.498,0.497,0.5,0.502,0.502,0.502,0.503,0.506,0.508,0.509,0.509,0.511,0.514,0.517,0.516,0.511,0.503,0.497,0.492,0.489,0.487,0.487,0.491,0.504,0.529,0.564,0.597,0.612,0.601,0.572,0.543,0.525,0.518,0.519,0.52,0.52,0.515,0.502,0.474,0.432,0.385,0.349,0.343,0.373,0.429,0.49,0.535,0.552,0.549,0.536,0.522,0.511,0.503,0.498,0.495,0.494,0.494,0.496,0.499,0.503,0.507,0.51,0.512,0.512,0.508,0.502,0.498,0.494,0.492,0.49,0.49,0.494,0.503,0.518,0.536,0.55,0.551,0.533,0.499,0.464,0.44,0.432,0.433,0.437,0.44,0.441,0.44,0.431,0.409,0.373,0.331,0.303,0.308,0.352,0.421,0.48,0.508,0.497,0.467,0.435,0.412,0.4,0.394,0.392,0.392,0.391,0.389,0.387,0.385,0.386,0.391,0.4,0.409,0.411,0.402,0.383,0.358,0.332,0.308,0.289,0.275,0.269,0.273,0.295,0.339,0.404,0.466,0.506,0.51,0.49,0.459,0.433,0.415,0.407,0.408,0.416,0.425,0.428,0.415,0.386,0.35,0.328,0.337,0.379,0.435,0.475,0.483,0.463,0.432,0.407,0.394,0.39,0.393,0.398,0.405,0.412,0.415,0.414,0.41,0.407,0.409,0.418,0.429,0.432,0.42,0.395,0.366,0.341,0.324,0.318,0.321,0.333,0.355,0.394,0.45,0.515,0.567,0.587,0.574,0.547,0.526,0.517,0.517,0.518,0.516,0.51,0.496,0.469,0.427,0.376,0.334,0.323,0.353,0.414,0.478,0.517,0.521,0.502,0.477,0.461,0.453,0.45,0.449,0.448,0.448,0.45,0.453,0.456,0.46,0.465,0.471,0.477,0.48,0.478,0.471,0.462,0.454,0.45,0.447,0.443,0.44,0.442,0.459,0.499,0.556,0.61,0.638,0.632,0.602,0.567,0.543,0.531,0.527,0.526,0.527,0.525,0.512,0.483,0.437,0.384,0.344,0.339,0.371,0.426,0.472,0.491,0.48,0.456,0.437,0.431,0.435,0.442,0.451,0.459,0.464,0.469,0.473,0.477,0.483,0.491,0.5,0.507,0.511,0.508,0.5,0.492,0.486,0.484,0.483,0.484,0.489,0.5,0.522,0.55,0.575,0.581,0.559,0.512,0.458,0.411,0.38,0.362,0.354,0.354,0.359,0.366,0.365,0.345,0.302,0.248,0.21,0.219,0.285,0.39,0.485,0.534,0.523,0.476,0.423,0.385,0.363,0.354,0.349,0.347,0.345,0.341,0.337,0.331,0.325,0.317,0.302,0.274,0.229,0.173,0.119,0.077,0.05,0.035,0.028,0.025,0.022,0.021,0.019,0.016,0.014,0.011,0.009,0.007,0.005,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0]