[0.162,0.168,0.177,0.182,0.179,0.174,0.174,0.182,0.197,0.216,0.24,0.27,0.301,0.324,0.336,0.336,0.327,0.313,0.292,0.266,0.24,0.215,0.193,0.174,0.161,0.156,0.161,0.168,0.171,0.165,0.155,0.145,0.141,0.145,0.157,0.171,0.18,0.182,0.18,0.178,0.182,0.191,0.204,0.21,0.202,0.18,0.157,0.146,0.15,0.162,0.17,0.17,0.162,0.155,0.151,0.15,0.15,0.148,0.144,0.138,0.134,0.132,0.133,0.137,0.137,0.129,0.113,0.095,0.089,0.1,0.123,0.148,0.171,0.195,0.221,0.242,0.248,0.237,0.217,0.199,0.185,0.174,0.164,0.158,0.163,0.179,0.201,0.218,0.222,0.214,0.203,0.194,0.187,0.181,0.178,0.182,0.196,0.217,0.236,0.248,0.25,0.244,0.229,0.206,0.179,0.153,0.132,0.116,0.099,0.08,0.065,0.066,0.088,0.125,0.166,0.196,0.212,0.214,0.208,0.197,0.186,0.177,0.171,0.169,0.172,0.182,0.198,0.213,0.217,0.205,0.183,0.163,0.156,0.16,0.166,0.166,0.158,0.147,0.138,0.132,0.128,0.125,0.121,0.116,0.111,0.108,0.107,0.11,0.117,0.121,0.116,0.097,0.069,0.042,0.024,0.019,0.027,0.045,0.065,0.078,0.08,0.075,0.074,0.078,0.081,0.075,0.059,0.043,0.039,0.052,0.075,0.094,0.1,0.098,0.104,0.13,0.171,0.213,0.246,0.27,0.291,0.311,0.324,0.323,0.307,0.29,0.284,0.29,0.299,0.297,0.282,0.262,0.247,0.239,0.237,0.234,0.232,0.232,0.24,0.257,0.28,0.302,0.314,0.309,0.293,0.273,0.261,0.257,0.257,0.255,0.249,0.242,0.238,0.238,0.237,0.232,0.222,0.215,0.217,0.228,0.239,0.241,0.236,0.231,0.236,0.252,0.269,0.278,0.277,0.269,0.258,0.247,0.238,0.234,0.237,0.243,0.248,0.245,0.234,0.218,0.202,0.192,0.192,0.198,0.205,0.207,0.202,0.193,0.186,0.188,0.2,0.221,0.241,0.25,0.245,0.232,0.214,0.197,0.177,0.158,0.146,0.15,0.172,0.202,0.222,0.223,0.206,0.182,0.16,0.144,0.132,0.123,0.12,0.126,0.145,0.176,0.211,0.239,0.25,0.246,0.238,0.234,0.236,0.236,0.225,0.202,0.173,0.151,0.144,0.155,0.178,0.206,0.231,0.246,0.253,0.256,0.26,0.266,0.265,0.249,0.217,0.181,0.156,0.146,0.146,0.149,0.153,0.158,0.166,0.175,0.185,0.196,0.206,0.212,0.211,0.203,0.193,0.189,0.194,0.206,0.214,0.213,0.204,0.196,0.197,0.205,0.214,0.218,0.212,0.194,0.162,0.12,0.082,0.062,0.073,0.112,0.166,0.216,0.249,0.265,0.27,0.265,0.249,0.224,0.195,0.173,0.169,0.191,0.237,0.305,0.382,0.459,0.518,0.549,0.55,0.534,0.511,0.487,0.459,0.431,0.405,0.387,0.376,0.367,0.355,0.337,0.318,0.306,0.312,0.342,0.394,0.453,0.49,0.48,0.421,0.342,0.288,0.287,0.335,0.399,0.452,0.477,0.474,0.447,0.402,0.35,0.303,0.269,0.243,0.221,0.205,0.209,0.249,0.32,0.395,0.447,0.464,0.451,0.428,0.406,0.389,0.373,0.356,0.332,0.295,0.247,0.198,0.164,0.161,0.187,0.23,0.28,0.335,0.396,0.457,0.499,0.503,0.475,0.443,0.436,0.459,0.489,0.5,0.484,0.45,0.412,0.376,0.347,0.334,0.343,0.371,0.407,0.436,0.457,0.476,0.5,0.529,0.552,0.555,0.535,0.504,0.478,0.464,0.459,0.455,0.443,0.418,0.383,0.344,0.313,0.298,0.3,0.311,0.328,0.354,0.398,0.458,0.513,0.532,0.497,0.426,0.356,0.325,0.344,0.392,0.443,0.472,0.472,0.443,0.396,0.346,0.308,0.291,0.296,0.315,0.339,0.368,0.405,0.448,0.485,0.499,0.485,0.453,0.422,0.404,0.399,0.4,0.399,0.392,0.376,0.351,0.323,0.299,0.282,0.273,0.271,0.281,0.311,0.363,0.423,0.47,0.483,0.462,0.431,0.422,0.443,0.475,0.491,0.479,0.447,0.41,0.375,0.349,0.339,0.35,0.379,0.412,0.438,0.452,0.462,0.476,0.495,0.509,0.507,0.485,0.455,0.427,0.408,0.395,0.381,0.363,0.337,0.303,0.263,0.229,0.214,0.227,0.257,0.288,0.315,0.35,0.402,0.457,0.486,0.468,0.414,0.359,0.335,0.35,0.387,0.424,0.445,0.445,0.426,0.395,0.363,0.336,0.317,0.302,0.285,0.272,0.272,0.301,0.359,0.43,0.484,0.501,0.482,0.446,0.415,0.397,0.392,0.394,0.397,0.39,0.367,0.328,0.284,0.249,0.232,0.237,0.264,0.31,0.371,0.434,0.48,0.487,0.453,0.403,0.375,0.389,0.431,0.467,0.473,0.45,0.417,0.385,0.357,0.336,0.33,0.345,0.376,0.408,0.432,0.45,0.472,0.5,0.521,0.521,0.499,0.468,0.445,0.435,0.431,0.424,0.416,0.406,0.396,0.381,0.362,0.34,0.317,0.297,0.284,0.287,0.317,0.379,0.451,0.502,0.501,0.455,0.394,0.358,0.361,0.392,0.428,0.451,0.455,0.44,0.406,0.362,0.317,0.281,0.259,0.256,0.271,0.303,0.349,0.405,0.46,0.497,0.504,0.481,0.446,0.418,0.407,0.407,0.407,0.4,0.384,0.36,0.329,0.294,0.261,0.241,0.243,0.271,0.321,0.384,0.447,0.493,0.502,0.465,0.401,0.35,0.349,0.394,0.449,0.48,0.477,0.455,0.429,0.407,0.391,0.387,0.397,0.416,0.433,0.442,0.445,0.451,0.467,0.488,0.501,0.494,0.472,0.449,0.436,0.434,0.435,0.434,0.429,0.422,0.415,0.41,0.406,0.402,0.398,0.394,0.39,0.384,0.373,0.359,0.347,0.342,0.341,0.338,0.333,0.328,0.33,0.333,0.333,0.327,0.322,0.324,0.332,0.336,0.329,0.313,0.298,0.288,0.286,0.289,0.3,0.323,0.36,0.398,0.425,0.436,0.434,0.425,0.413,0.4,0.384,0.368,0.352,0.337,0.325,0.315,0.307,0.301,0.297,0.291,0.283,0.27,0.256,0.24,0.224,0.209,0.195,0.185,0.178,0.172,0.165,0.157,0.149,0.146,0.149,0.161,0.181,0.207,0.231,0.246,0.25,0.249,0.248,0.255,0.269,0.286,0.299,0.301,0.29,0.272,0.255,0.246,0.245,0.251,0.26,0.27,0.275,0.272,0.262,0.245,0.225,0.203,0.185,0.175,0.174,0.174,0.168,0.158,0.153,0.167,0.198,0.235,0.265,0.283,0.291,0.294,0.29,0.274,0.243,0.201,0.162,0.141,0.146,0.171,0.203,0.23,0.25,0.263,0.27,0.273,0.273,0.273,0.273,0.275,0.279,0.284,0.289,0.29,0.283,0.264,0.237,0.21,0.191,0.187,0.192,0.2,0.202,0.195,0.18,0.157,0.129,0.098,0.067,0.042,0.024,0.018,0.026,0.051,0.093,0.14,0.179,0.199,0.197,0.184,0.171,0.166,0.17,0.181,0.197,0.218,0.242,0.264,0.278,0.282,0.277,0.27,0.262,0.255,0.248,0.242,0.235,0.224,0.21,0.2,0.202,0.217,0.232,0.237,0.23,0.219,0.214,0.215,0.219,0.222,0.225,0.231,0.243,0.258,0.268,0.273,0.271,0.264,0.251,0.231,0.206,0.179,0.16,0.155,0.165,0.186,0.209,0.23,0.246,0.257,0.262,0.262,0.259,0.254,0.246,0.236,0.229,0.228,0.233,0.238,0.239,0.233,0.223,0.214,0.206,0.198,0.19,0.185,0.186,0.194,0.206,0.212,0.207,0.191,0.169,0.148,0.137,0.141,0.164,0.203,0.251,0.292,0.312,0.313,0.306,0.301,0.304,0.315,0.336,0.375,0.432,0.492,0.533,0.548,0.542,0.531,0.526,0.527,0.529,0.525,0.506,0.469,0.412,0.349,0.297,0.266,0.255,0.26,0.281,0.33,0.409,0.494,0.547,0.538,0.482,0.42,0.39,0.399,0.427,0.453,0.465,0.464,0.45,0.429,0.406,0.395,0.4,0.418,0.437,0.448,0.451,0.457,0.473,0.495,0.505,0.49,0.453,0.413,0.385,0.374,0.377,0.385,0.388,0.375,0.338,0.284,0.234,0.209,0.219,0.259,0.313,0.373,0.439,0.508,0.562,0.576,0.54,0.477,0.427,0.417,0.44,0.468,0.477,0.465,0.439,0.411,0.384,0.366,0.365,0.387,0.423,0.458,0.481,0.493,0.504,0.523,0.545,0.555,0.544,0.516,0.487,0.469,0.463,0.462,0.46,0.451,0.434,0.406,0.366,0.32,0.278,0.248,0.237,0.251,0.299,0.381,0.472,0.537,0.541,0.494,0.429,0.389,0.386,0.409,0.436,0.456,0.462,0.454,0.43,0.399,0.376,0.378,0.402,0.435,0.46,0.474,0.485,0.502,0.526,0.543,0.542,0.52,0.489,0.461,0.442,0.428,0.415,0.398,0.373,0.335,0.284,0.228,0.179,0.147,0.134,0.142,0.176,0.244,0.339,0.432,0.481,0.461,0.397,0.341,0.337,0.384,0.442,0.471,0.457,0.413,0.357,0.302,0.26,0.247,0.269,0.315,0.36,0.383,0.381,0.362,0.339,0.322,0.313,0.31,0.305,0.295,0.281,0.263,0.244,0.228,0.222,0.231,0.254,0.282,0.304,0.312,0.302,0.277,0.244,0.218,0.209,0.219,0.239,0.26,0.274,0.283,0.291,0.301,0.312,0.32,0.32,0.314,0.308,0.304,0.304,0.301,0.291,0.274,0.254,0.238,0.229,0.23,0.242,0.263,0.293,0.323,0.342,0.344,0.33,0.31,0.294,0.286,0.287,0.291,0.291,0.281,0.26,0.23,0.199,0.178,0.175,0.188,0.21,0.228,0.235,0.234,0.234,0.236,0.238,0.235,0.226,0.214,0.204,0.201,0.207,0.219,0.234,0.241,0.231,0.204,0.172,0.149,0.147,0.164,0.188,0.209,0.224,0.233,0.237,0.234,0.223,0.207,0.191,0.183,0.189,0.209,0.236,0.256,0.26,0.249,0.234,0.225,0.23,0.245,0.262,0.272,0.274,0.269,0.262,0.257,0.258,0.27,0.297,0.335,0.374,0.399,0.401,0.38,0.341,0.297,0.266,0.262,0.288,0.333,0.377,0.404,0.413,0.41,0.404,0.403,0.406,0.411,0.413,0.411,0.405,0.398,0.39,0.38,0.362,0.332,0.285,0.223,0.156,0.096,0.055,0.033,0.027,0.032,0.042,0.049,0.05,0.046,0.048,0.07,0.121,0.195,0.275,0.342,0.385,0.404,0.404,0.393,0.377,0.367,0.371,0.39,0.416,0.436,0.447,0.458,0.479,0.509,0.533,0.536,0.514,0.482,0.46,0.454,0.458,0.459,0.451,0.432,0.402,0.363,0.319,0.28,0.258,0.258,0.277,0.311,0.36,0.425,0.489,0.53,0.525,0.482,0.427,0.392,0.392,0.417,0.448,0.468,0.467,0.44,0.385,0.31,0.234,0.18,0.162,0.18,0.223,0.283,0.356,0.436,0.509,0.55,0.548,0.511,0.466,0.434,0.424,0.428,0.436,0.44,0.437,0.419,0.385,0.342,0.306,0.288,0.293,0.317,0.356,0.409,0.47,0.522,0.546,0.534,0.504,0.486,0.493,0.515,0.524,0.504,0.461,0.409,0.358,0.314,0.286,0.288,0.322,0.372,0.415,0.439,0.45,0.465,0.492,0.522,0.537,0.53,0.507,0.487,0.477,0.475,0.474,0.468,0.455,0.434,0.402,0.361,0.318,0.284,0.268,0.276,0.306,0.356,0.423,0.493,0.538,0.53,0.473,0.393,0.337,0.326,0.356,0.402,0.439,0.456,0.45,0.43,0.408,0.397,0.406,0.432,0.465,0.49,0.505,0.517,0.532,0.552,0.563,0.557,0.532,0.5,0.476,0.466,0.469,0.479,0.49,0.494,0.488,0.47,0.445,0.414,0.38,0.345,0.321,0.322,0.356,0.414,0.468,0.485,0.453,0.398,0.365,0.383,0.439,0.495,0.52,0.508,0.474,0.434,0.398,0.372,0.363,0.376,0.401,0.426,0.441,0.449,0.462,0.487,0.521,0.546,0.551,0.536,0.514,0.495,0.482,0.474,0.472,0.471,0.466,0.442,0.396,0.331,0.268,0.227,0.225,0.262,0.327,0.406,0.478,0.527,0.535,0.505,0.456,0.415,0.399,0.408,0.43,0.454,0.471,0.474,0.455,0.413,0.358,0.308,0.276,0.27,0.286,0.318,0.364,0.42,0.48,0.526,0.54,0.523,0.489,0.458,0.441,0.436,0.438,0.445,0.452,0.45,0.433,0.4,0.358,0.319,0.293,0.29,0.316,0.371,0.442,0.503,0.527,0.5,0.442,0.396,0.399,0.452,0.519,0.562,0.561,0.528,0.484,0.443,0.415,0.405,0.414,0.437,0.464,0.485,0.497,0.504,0.512,0.52,0.521,0.511,0.495,0.485,0.483,0.485,0.486,0.486,0.486,0.484,0.47,0.445,0.417,0.398,0.389,0.384,0.382,0.39,0.421,0.473,0.527,0.553,0.534,0.477,0.416,0.382,0.387,0.418,0.453,0.475,0.481,0.472,0.454,0.43,0.403,0.375,0.349,0.329,0.321,0.338,0.385,0.456,0.531,0.586,0.608,0.602,0.582,0.559,0.539,0.528,0.526,0.528,0.526,0.512,0.486,0.452,0.421,0.402,0.398,0.414,0.45,0.5,0.55,0.579,0.571,0.533,0.494,0.48,0.499,0.531,0.549,0.543,0.519,0.489,0.462,0.444,0.44,0.451,0.467,0.479,0.481,0.477,0.476,0.489,0.511,0.53,0.531,0.51,0.48,0.454,0.439,0.435,0.437,0.442,0.447,0.452,0.454,0.453,0.45,0.444,0.438,0.433,0.427,0.422,0.418,0.419,0.425,0.436,0.449,0.457,0.459,0.456,0.448,0.437,0.425,0.416,0.412,0.414,0.42,0.428,0.435,0.438,0.438,0.434,0.429,0.423,0.419,0.416,0.413,0.411,0.409,0.409,0.411,0.416,0.422,0.423,0.418,0.407,0.393,0.378,0.364,0.35,0.333,0.315,0.297,0.281,0.266,0.254,0.245,0.237,0.23,0.222,0.214,0.208,0.207,0.213,0.226,0.241,0.252,0.257,0.256,0.254,0.254,0.254,0.253,0.25,0.247,0.243,0.238,0.234,0.239,0.254,0.276,0.298,0.315,0.324,0.324,0.319,0.311,0.305,0.301,0.296,0.283,0.258,0.227,0.199,0.181,0.179,0.19,0.207,0.222,0.23,0.233,0.237,0.245,0.259,0.275,0.288,0.295,0.296,0.293,0.289,0.282,0.27,0.254,0.234,0.211,0.19,0.178,0.181,0.198,0.219,0.236,0.246,0.252,0.259,0.264,0.268,0.269,0.272,0.277,0.285,0.294,0.299,0.297,0.287,0.271,0.254,0.238,0.221,0.205,0.191,0.184,0.19,0.209,0.233,0.252,0.255,0.233,0.189,0.137,0.092,0.072,0.08,0.107,0.13,0.132,0.111,0.079,0.053,0.041,0.05,0.081,0.135,0.204,0.276,0.333,0.366,0.377,0.374,0.366,0.359,0.354,0.35,0.35,0.353,0.354,0.344,0.318,0.281,0.247,0.229,0.23,0.243,0.256,0.263,0.267,0.267,0.267,0.267,0.27,0.276,0.282,0.284,0.281,0.275,0.276,0.283,0.288,0.283,0.264,0.233,0.198,0.169,0.157,0.17,0.206,0.25,0.284,0.303,0.31,0.316,0.324,0.331,0.334,0.331,0.327,0.326,0.328,0.328,0.32,0.303,0.278,0.246,0.21,0.181,0.17,0.181,0.199,0.206,0.191,0.161,0.136,0.129,0.143,0.166,0.185,0.197,0.209,0.23,0.255,0.273,0.275,0.264,0.25,0.241,0.236,0.23,0.223,0.22,0.23,0.255,0.288,0.317,0.333,0.334,0.323,0.306,0.292,0.287,0.294,0.311,0.325,0.328,0.318,0.3,0.279,0.26,0.24,0.219,0.198,0.18,0.175,0.185,0.205,0.229,0.248,0.262,0.274,0.286,0.299,0.312,0.318,0.313,0.295,0.27,0.242,0.214,0.186,0.157,0.132,0.123,0.137,0.172,0.216,0.257,0.288,0.313,0.333,0.349,0.356,0.354,0.344,0.331,0.318,0.305,0.295,0.292,0.297,0.305,0.309,0.303,0.291,0.277,0.266,0.258,0.252,0.248,0.243,0.234,0.219,0.198,0.179,0.169,0.168,0.167,0.156,0.134,0.107,0.083,0.067,0.059,0.065,0.102,0.179,0.285,0.386,0.448,0.461,0.444,0.424,0.413,0.415,0.427,0.442,0.456,0.457,0.441,0.411,0.381,0.362,0.362,0.377,0.406,0.447,0.494,0.531,0.54,0.508,0.445,0.383,0.353,0.369,0.417,0.467,0.497,0.498,0.479,0.453,0.434,0.429,0.438,0.454,0.468,0.477,0.484,0.497,0.518,0.538,0.543,0.53,0.51,0.496,0.49,0.488,0.482,0.473,0.461,0.445,0.42,0.384,0.343,0.313,0.301,0.311,0.34,0.382,0.436,0.489,0.524,0.519,0.473,0.412,0.377,0.39,0.435,0.476,0.489,0.477,0.455,0.437,0.427,0.425,0.431,0.441,0.451,0.458,0.464,0.479,0.506,0.539,0.561,0.56,0.538,0.509,0.485,0.471,0.464,0.461,0.46,0.454,0.438,0.413,0.385,0.364,0.355,0.353,0.355,0.367,0.396,0.448,0.509,0.555,0.564,0.532,0.477,0.427,0.4,0.4,0.415,0.43,0.431,0.412,0.375,0.338,0.324,0.345,0.388,0.431,0.455,0.462,0.471,0.492,0.522,0.541,0.536,0.506,0.469,0.442,0.433,0.44,0.456,0.47,0.474,0.46,0.431,0.393,0.354,0.324,0.308,0.313,0.341,0.392,0.454,0.506,0.525,0.507,0.472,0.449,0.456,0.482,0.505,0.509,0.494,0.472,0.449,0.428,0.415,0.415,0.43,0.453,0.471,0.48,0.486,0.499,0.52,0.542,0.548,0.535,0.51,0.488,0.476,0.476,0.478,0.475,0.455,0.414,0.353,0.284,0.224,0.186,0.175,0.189,0.226,0.284,0.365,0.451,0.516,0.532,0.498,0.442,0.4,0.393,0.419,0.457,0.486,0.495,0.483,0.455,0.422,0.396,0.389,0.401,0.425,0.448,0.464,0.477,0.497,0.524,0.545,0.545,0.524,0.491,0.463,0.445,0.438,0.439,0.442,0.443,0.434,0.414,0.383,0.349,0.317,0.289,0.274,0.283,0.328,0.406,0.489,0.539,0.537,0.501,0.468,0.466,0.491,0.515,0.519,0.505,0.485,0.466,0.448,0.431,0.421,0.426,0.441,0.458,0.469,0.476,0.487,0.506,0.527,0.535,0.524,0.5,0.475,0.458,0.447,0.439,0.429,0.418,0.404,0.383,0.358,0.332,0.308,0.29,0.276,0.274,0.293,0.341,0.407,0.466,0.488,0.465,0.414,0.369,0.352,0.364,0.387,0.405,0.407,0.392,0.363,0.333,0.318,0.333,0.371,0.414,0.44,0.444,0.44,0.447,0.466,0.484,0.48,0.451,0.41,0.38,0.367,0.368,0.375,0.381,0.379,0.359,0.319,0.265,0.212,0.173,0.152,0.147,0.166,0.218,0.301,0.389,0.446,0.443,0.394,0.343,0.336,0.379,0.442,0.483,0.482,0.447,0.391,0.33,0.281,0.26,0.276,0.318,0.363,0.387,0.382,0.353,0.314,0.277,0.25,0.235,0.227,0.225,0.226,0.232,0.241,0.254,0.269,0.282,0.29,0.292,0.292,0.299,0.316,0.339,0.354,0.355,0.345,0.332,0.324,0.322,0.324,0.327,0.328,0.328,0.33,0.332,0.335,0.337,0.335,0.325,0.302,0.274,0.25,0.242,0.246,0.252,0.254,0.253,0.258,0.271,0.289,0.305,0.315,0.319,0.323,0.328,0.333,0.334,0.332,0.329,0.327,0.325,0.319,0.31,0.298,0.288,0.284,0.287,0.295,0.308,0.317,0.317,0.306,0.289,0.277,0.277,0.288,0.301,0.31,0.311,0.31,0.312,0.319,0.326,0.331,0.332,0.33,0.329,0.33,0.332,0.335,0.337,0.337,0.335,0.331,0.327,0.326,0.326,0.323,0.313,0.295,0.277,0.264,0.258,0.255,0.255,0.263,0.282,0.309,0.332,0.343,0.34,0.325,0.305,0.282,0.264,0.252,0.251,0.26,0.275,0.29,0.298,0.299,0.294,0.281,0.257,0.221,0.184,0.161,0.162,0.185,0.214,0.238,0.252,0.259,0.262,0.262,0.258,0.257,0.263,0.28,0.305,0.329,0.344,0.348,0.343,0.33,0.313,0.294,0.276,0.264,0.263,0.273,0.292,0.311,0.324,0.329,0.329,0.33,0.331,0.328,0.319,0.303,0.286,0.275,0.274,0.283,0.296,0.306,0.307,0.298,0.284,0.27,0.261,0.253,0.245,0.234,0.222,0.212,0.205,0.201,0.199,0.197,0.19,0.174,0.146,0.112,0.077,0.05,0.032,0.022,0.016,0.012,0.009,0.007,0.007]