[0.001,0.002,0.002,0.003,0.004,0.006,0.007,0.007,0.007,0.006,0.005,0.004,0.003,0.002,0.003,0.007,0.016,0.033,0.059,0.089,0.116,0.135,0.146,0.156,0.165,0.169,0.161,0.137,0.106,0.08,0.071,0.082,0.107,0.131,0.139,0.13,0.11,0.089,0.077,0.075,0.08,0.087,0.094,0.101,0.108,0.114,0.117,0.117,0.12,0.13,0.147,0.162,0.17,0.171,0.176,0.19,0.206,0.215,0.208,0.186,0.158,0.133,0.117,0.112,0.112,0.112,0.109,0.102,0.093,0.086,0.079,0.073,0.069,0.065,0.064,0.065,0.07,0.077,0.084,0.088,0.09,0.089,0.086,0.083,0.079,0.076,0.075,0.077,0.085,0.1,0.122,0.148,0.172,0.193,0.212,0.23,0.244,0.248,0.239,0.217,0.187,0.156,0.132,0.122,0.128,0.148,0.171,0.188,0.192,0.185,0.173,0.162,0.154,0.148,0.144,0.143,0.144,0.148,0.152,0.152,0.145,0.132,0.113,0.094,0.077,0.065,0.059,0.056,0.056,0.06,0.069,0.08,0.088,0.091,0.088,0.081,0.074,0.068,0.066,0.066,0.069,0.078,0.096,0.123,0.153,0.178,0.195,0.208,0.221,0.235,0.244,0.244,0.234,0.225,0.226,0.239,0.261,0.281,0.293,0.295,0.29,0.281,0.272,0.266,0.263,0.265,0.266,0.266,0.261,0.252,0.237,0.217,0.194,0.172,0.157,0.149,0.147,0.151,0.157,0.163,0.168,0.173,0.18,0.191,0.202,0.208,0.207,0.2,0.192,0.188,0.189,0.192,0.195,0.196,0.195,0.195,0.197,0.201,0.207,0.215,0.224,0.234,0.241,0.243,0.241,0.236,0.23,0.225,0.224,0.226,0.233,0.242,0.248,0.251,0.249,0.247,0.245,0.246,0.249,0.253,0.258,0.263,0.269,0.276,0.285,0.294,0.303,0.311,0.316,0.318,0.315,0.307,0.295,0.282,0.271,0.266,0.268,0.279,0.294,0.311,0.329,0.351,0.38,0.417,0.451,0.463,0.444,0.4,0.352,0.32,0.316,0.337,0.372,0.4,0.406,0.388,0.355,0.324,0.31,0.318,0.344,0.373,0.387,0.377,0.351,0.327,0.319,0.331,0.358,0.389,0.41,0.409,0.386,0.352,0.327,0.325,0.351,0.395,0.441,0.47,0.469,0.441,0.404,0.38,0.377,0.395,0.421,0.442,0.444,0.421,0.381,0.344,0.326,0.334,0.364,0.404,0.436,0.443,0.424,0.392,0.367,0.361,0.375,0.401,0.427,0.441,0.437,0.421,0.409,0.414,0.435,0.465,0.495,0.516,0.519,0.502,0.471,0.441,0.423,0.422,0.434,0.446,0.444,0.417,0.362,0.29,0.22,0.168,0.147,0.158,0.195,0.245,0.29,0.311,0.301,0.266,0.225,0.201,0.207,0.238,0.27,0.281,0.265,0.232,0.199,0.174,0.16,0.153,0.151,0.157,0.175,0.207,0.247,0.283,0.306,0.314,0.307,0.287,0.257,0.228,0.216,0.228,0.256,0.281,0.289,0.279,0.26,0.241,0.228,0.218,0.21,0.207,0.214,0.236,0.26,0.27,0.255,0.223,0.193,0.182,0.201,0.251,0.322,0.388,0.426,0.425,0.4,0.369,0.35,0.344,0.347,0.351,0.343,0.316,0.277,0.241,0.224,0.227,0.241,0.249,0.24,0.218,0.194,0.181,0.185,0.206,0.237,0.271,0.299,0.312,0.307,0.288,0.266,0.248,0.239,0.233,0.223,0.201,0.168,0.136,0.116,0.115,0.129,0.153,0.187,0.229,0.272,0.302,0.309,0.294,0.267,0.239,0.218,0.204,0.195,0.192,0.198,0.225,0.272,0.326,0.366,0.383,0.38,0.369,0.357,0.353,0.362,0.389,0.425,0.461,0.488,0.507,0.511,0.495,0.461,0.423,0.399,0.397,0.41,0.423,0.418,0.389,0.338,0.281,0.235,0.208,0.195,0.19,0.188,0.192,0.202,0.215,0.224,0.231,0.24,0.259,0.286,0.314,0.332,0.333,0.318,0.296,0.276,0.258,0.239,0.217,0.195,0.178,0.172,0.181,0.208,0.251,0.299,0.339,0.36,0.353,0.321,0.272,0.226,0.196,0.186,0.187,0.186,0.18,0.168,0.154,0.142,0.139,0.152,0.187,0.236,0.286,0.317,0.319,0.294,0.256,0.222,0.202,0.206,0.233,0.276,0.313,0.32,0.29,0.234,0.175,0.129,0.103,0.096,0.105,0.125,0.146,0.154,0.143,0.116,0.085,0.063,0.055,0.058,0.063,0.065,0.063,0.058,0.052,0.049,0.048,0.052,0.06,0.07,0.082,0.094,0.104,0.111,0.116,0.117,0.117,0.119,0.126,0.138,0.159,0.181,0.195,0.189,0.16,0.117,0.077,0.054,0.053,0.071,0.1,0.128,0.148,0.159,0.165,0.169,0.172,0.172,0.167,0.158,0.149,0.143,0.137,0.129,0.113,0.089,0.063,0.05,0.07,0.141,0.26,0.393,0.492,0.523,0.492,0.436,0.393,0.386,0.41,0.443,0.458,0.44,0.395,0.346,0.315,0.311,0.335,0.374,0.413,0.429,0.415,0.38,0.354,0.354,0.382,0.424,0.459,0.47,0.448,0.403,0.353,0.321,0.32,0.35,0.403,0.465,0.513,0.528,0.504,0.456,0.411,0.39,0.402,0.432,0.456,0.45,0.414,0.368,0.341,0.346,0.38,0.43,0.478,0.508,0.511,0.49,0.459,0.435,0.428,0.439,0.462,0.49,0.511,0.512,0.49,0.454,0.419,0.398,0.401,0.424,0.451,0.461,0.441,0.4,0.362,0.346,0.356,0.381,0.405,0.418,0.419,0.418,0.426,0.44,0.443,0.423,0.382,0.34,0.313,0.301,0.296,0.292,0.289,0.293,0.311,0.341,0.374,0.395,0.4,0.391,0.38,0.372,0.374,0.387,0.41,0.431,0.437,0.42,0.384,0.344,0.316,0.31,0.327,0.357,0.381,0.393,0.398,0.408,0.421,0.425,0.409,0.377,0.342,0.316,0.301,0.292,0.284,0.276,0.276,0.293,0.327,0.366,0.392,0.397,0.382,0.361,0.346,0.348,0.371,0.405,0.429,0.425,0.393,0.351,0.317,0.306,0.319,0.349,0.384,0.41,0.426,0.44,0.454,0.46,0.447,0.415,0.375,0.343,0.323,0.312,0.309,0.314,0.33,0.357,0.389,0.412,0.415,0.398,0.371,0.349,0.342,0.352,0.375,0.404,0.425,0.425,0.4,0.361,0.326,0.306,0.309,0.33,0.363,0.396,0.423,0.44,0.45,0.451,0.436,0.397,0.345,0.295,0.261,0.243,0.233,0.223,0.209,0.194,0.182,0.176,0.178,0.183,0.181,0.166,0.143,0.131,0.153,0.217,0.31,0.397,0.451,0.46,0.439,0.406,0.379,0.367,0.371,0.383,0.393,0.402,0.413,0.436,0.46,0.467,0.444,0.398,0.348,0.313,0.3,0.307,0.328,0.357,0.388,0.414,0.431,0.433,0.418,0.391,0.36,0.333,0.321,0.331,0.362,0.399,0.42,0.41,0.372,0.325,0.289,0.277,0.293,0.33,0.369,0.398,0.416,0.429,0.441,0.439,0.417,0.378,0.34,0.317,0.31,0.31,0.31,0.308,0.31,0.321,0.343,0.366,0.376,0.369,0.351,0.337,0.335,0.347,0.37,0.398,0.417,0.416,0.391,0.357,0.328,0.316,0.322,0.342,0.37,0.393,0.405,0.411,0.417,0.421,0.413,0.387,0.351,0.32,0.302,0.295,0.295,0.298,0.302,0.314,0.336,0.366,0.39,0.395,0.376,0.343,0.313,0.301,0.314,0.349,0.39,0.413,0.404,0.369,0.334,0.318,0.325,0.347,0.369,0.379,0.375,0.369,0.375,0.398,0.417,0.415,0.387,0.349,0.32,0.308,0.314,0.331,0.354,0.373,0.388,0.397,0.402,0.399,0.385,0.366,0.351,0.347,0.361,0.397,0.453,0.512,0.546,0.539,0.499,0.448,0.411,0.4,0.417,0.451,0.49,0.525,0.556,0.585,0.607,0.607,0.58,0.538,0.504,0.493,0.499,0.507,0.508,0.5,0.49,0.481,0.471,0.451,0.415,0.365,0.319,0.294,0.299,0.336,0.398,0.468,0.521,0.539,0.517,0.474,0.432,0.41,0.411,0.43,0.455,0.478,0.5,0.525,0.552,0.568,0.563,0.533,0.494,0.461,0.44,0.425,0.404,0.373,0.342,0.327,0.341,0.376,0.409,0.42,0.402,0.369,0.342,0.34,0.373,0.435,0.503,0.547,0.553,0.527,0.494,0.474,0.476,0.489,0.499,0.5,0.496,0.503,0.529,0.566,0.589,0.58,0.537,0.478,0.421,0.375,0.338,0.309,0.293,0.296,0.321,0.359,0.394,0.409,0.406,0.392,0.379,0.373,0.382,0.41,0.459,0.508,0.533,0.517,0.474,0.428,0.406,0.413,0.441,0.473,0.497,0.514,0.53,0.551,0.564,0.557,0.527,0.49,0.466,0.465,0.486,0.517,0.548,0.566,0.566,0.55,0.528,0.504,0.483,0.468,0.461,0.461,0.462,0.466,0.475,0.489,0.495,0.48,0.442,0.394,0.354,0.329,0.319,0.315,0.311,0.303,0.292,0.276,0.26,0.245,0.236,0.234,0.238,0.248,0.259,0.268,0.27,0.266,0.258,0.251,0.244,0.234,0.222,0.213,0.214,0.227,0.25,0.279,0.305,0.325,0.335,0.338,0.336,0.333,0.332,0.334,0.338,0.34,0.342,0.342,0.345,0.35,0.358,0.366,0.369,0.362,0.341,0.31,0.278,0.257,0.254,0.27,0.296,0.317,0.32,0.298,0.256,0.21,0.179,0.176,0.197,0.231,0.258,0.268,0.258,0.233,0.2,0.167,0.141,0.124,0.118,0.12,0.127,0.133,0.131,0.121,0.105,0.089,0.08,0.077,0.08,0.088,0.097,0.104,0.109,0.111,0.113,0.116,0.121,0.128,0.135,0.14,0.144,0.146,0.151,0.158,0.167,0.175,0.182,0.187,0.19,0.19,0.19,0.19,0.192,0.196,0.202,0.209,0.213,0.215,0.213,0.21,0.208,0.213,0.231,0.264,0.306,0.345,0.372,0.387,0.398,0.408,0.418,0.426,0.433,0.436,0.431,0.417,0.398,0.377,0.355,0.34,0.342,0.366,0.401,0.429,0.44,0.438,0.435,0.44,0.455,0.476,0.495,0.507,0.514,0.522,0.535,0.545,0.541,0.521,0.492,0.465,0.446,0.434,0.425,0.42,0.42,0.427,0.439,0.451,0.458,0.455,0.446,0.436,0.43,0.431,0.443,0.465,0.488,0.501,0.498,0.482,0.467,0.458,0.457,0.46,0.461,0.457,0.449,0.447,0.457,0.473,0.481,0.472,0.449,0.426,0.411,0.408,0.413,0.423,0.437,0.454,0.473,0.488,0.495,0.49,0.475,0.458,0.446,0.445,0.455,0.473,0.491,0.497,0.484,0.454,0.421,0.396,0.389,0.401,0.428,0.461,0.488,0.507,0.517,0.519,0.51,0.484,0.443,0.399,0.366,0.35,0.349,0.358,0.373,0.392,0.418,0.447,0.471,0.479,0.467,0.44,0.407,0.38,0.368,0.376,0.402,0.434,0.452,0.447,0.428,0.415,0.418,0.436,0.457,0.475,0.482,0.481,0.478,0.477,0.482,0.482,0.473,0.456,0.441,0.434,0.436,0.441,0.448,0.456,0.467,0.48,0.487,0.484,0.469,0.447,0.427,0.419,0.421,0.434,0.45,0.465,0.467,0.453,0.429,0.409,0.407,0.423,0.451,0.477,0.494,0.499,0.496,0.495,0.501,0.509,0.509,0.498,0.48,0.467,0.461,0.459,0.458,0.457,0.462,0.476,0.498,0.52,0.532,0.531,0.519,0.505,0.494,0.49,0.493,0.5,0.506,0.501,0.484,0.461,0.443,0.437,0.444,0.46,0.476,0.485,0.483,0.479,0.482,0.493,0.497,0.487,0.464,0.446,0.442,0.451,0.46,0.464,0.465,0.47,0.483,0.498,0.512,0.516,0.509,0.491,0.467,0.446,0.437,0.445,0.467,0.491,0.503,0.497,0.48,0.466,0.461,0.466,0.477,0.489,0.497,0.505,0.512,0.52,0.521,0.512,0.49,0.463,0.443,0.435,0.436,0.443,0.45,0.458,0.468,0.482,0.497,0.507,0.505,0.495,0.481,0.47,0.466,0.47,0.48,0.492,0.496,0.487,0.465,0.44,0.425,0.424,0.437,0.458,0.48,0.499,0.515,0.53,0.543,0.547,0.537,0.51,0.476,0.442,0.418,0.414,0.431,0.462,0.489,0.503,0.502,0.494,0.483,0.474,0.471,0.477,0.492,0.507,0.52,0.529,0.535,0.532,0.523,0.51,0.504,0.503,0.507,0.51,0.515,0.514,0.502,0.473,0.43,0.389,0.364,0.362,0.38,0.406,0.43,0.445,0.446,0.428,0.393,0.35,0.31,0.281,0.267,0.269,0.291,0.338,0.407,0.476,0.525,0.542,0.536,0.522,0.51,0.505,0.506,0.512,0.513,0.497,0.451,0.381,0.304,0.249,0.24,0.281,0.354,0.426,0.469,0.473,0.444,0.396,0.347,0.306,0.277,0.258,0.251,0.257,0.28,0.31,0.328,0.322,0.296,0.266,0.248,0.256,0.292,0.35,0.403,0.433,0.431,0.41,0.388,0.378,0.386,0.409,0.438,0.466,0.488,0.505,0.517,0.515,0.495,0.461,0.427,0.404,0.395,0.398,0.41,0.427,0.445,0.463,0.476,0.48,0.472,0.452,0.426,0.407,0.401,0.412,0.436,0.464,0.482,0.475,0.443,0.398,0.362,0.349,0.363,0.393,0.427,0.452,0.465,0.473,0.48,0.487,0.485,0.47,0.445,0.416,0.391,0.381,0.388,0.409,0.431,0.446,0.452,0.454,0.452,0.442,0.423,0.402,0.388,0.387,0.401,0.427,0.452,0.459,0.438,0.399,0.369,0.366,0.394,0.437,0.477,0.504,0.516,0.522,0.53,0.545,0.553,0.543,0.51,0.466,0.426,0.398,0.384,0.379,0.383,0.393,0.411,0.435,0.457,0.466,0.458,0.435,0.412,0.399,0.402,0.42,0.447,0.473,0.483,0.471,0.442,0.415,0.406,0.42,0.448,0.477,0.495,0.498,0.495,0.497,0.504,0.506,0.492,0.464,0.433,0.408,0.393,0.384,0.382,0.392,0.415,0.447,0.476,0.489,0.479,0.451,0.419,0.4,0.401,0.423,0.455,0.485,0.492,0.47,0.425,0.378,0.348,0.345,0.366,0.398,0.427,0.442,0.45,0.462,0.486,0.509,0.514,0.494,0.458,0.423,0.399,0.387,0.387,0.396,0.414,0.437,0.459,0.47,0.462,0.437,0.406,0.386,0.389,0.412,0.45,0.49,0.521,0.525,0.5,0.449,0.394,0.353,0.338,0.353,0.392,0.44,0.482,0.514,0.535,0.549,0.55,0.535,0.507,0.48,0.468,0.477,0.502,0.53,0.547,0.542,0.522,0.499,0.482,0.472,0.471,0.477,0.489,0.495,0.494,0.488,0.483,0.473,0.444,0.388,0.317,0.252,0.208,0.189,0.191,0.207,0.225,0.236,0.23,0.205,0.169,0.135,0.118,0.129,0.168,0.224,0.277,0.311,0.318,0.302,0.273,0.241,0.211,0.184,0.162,0.145,0.139,0.149,0.173,0.204,0.23,0.246,0.25,0.247,0.242,0.238,0.235,0.233,0.236,0.245,0.26,0.278,0.294,0.301,0.295,0.275,0.25,0.233,0.235,0.254,0.275,0.283,0.267,0.234,0.196,0.169,0.162,0.178,0.209,0.244,0.269,0.274,0.261,0.24,0.218,0.202,0.191,0.184,0.179,0.179,0.186,0.202,0.224,0.246,0.254,0.244,0.217,0.19,0.181,0.198,0.232,0.269,0.294,0.302,0.295,0.277,0.255,0.233,0.214,0.203,0.203,0.213,0.229,0.245,0.255,0.258,0.259,0.26,0.259,0.255,0.249,0.239,0.223,0.196,0.16,0.122,0.097,0.096,0.12,0.165,0.212,0.247,0.265,0.27,0.27,0.272,0.275,0.284,0.297,0.312,0.32,0.314,0.297,0.278,0.266,0.264,0.264,0.258,0.238,0.212,0.192,0.19,0.206,0.247,0.31,0.384,0.441,0.456,0.424,0.366,0.308,0.27,0.259,0.272,0.298,0.323,0.334,0.325,0.299,0.268,0.247,0.251,0.281,0.332,0.388,0.434,0.461,0.465,0.453,0.428,0.396,0.357,0.318,0.291,0.283,0.3,0.331,0.363,0.384,0.393,0.394,0.39,0.384,0.376,0.366,0.355,0.344,0.34,0.347,0.364,0.385,0.401,0.404,0.391,0.367,0.348,0.344,0.358,0.379,0.392,0.387,0.363,0.326,0.294,0.28,0.292,0.32,0.347,0.357,0.352,0.34,0.335,0.338,0.346,0.35,0.344,0.329,0.315,0.31,0.318,0.335,0.353,0.364,0.362,0.351,0.34,0.343,0.364,0.399,0.432,0.453,0.457,0.448,0.427,0.399,0.37,0.347,0.335,0.334,0.344,0.359,0.371,0.375,0.373,0.37,0.37,0.372,0.379,0.393,0.411,0.422,0.415,0.389,0.356,0.332,0.326,0.339,0.369,0.405,0.437,0.454,0.451,0.432,0.409,0.393,0.393,0.41,0.436,0.457,0.464,0.459,0.452,0.452,0.462,0.476,0.484,0.476,0.455,0.428,0.409,0.404,0.415,0.442,0.478,0.512,0.535,0.542,0.541,0.539,0.54,0.545,0.549,0.549,0.543,0.538,0.544,0.564,0.584,0.593,0.586,0.572,0.562,0.561,0.565,0.569,0.572,0.574,0.578,0.581,0.581,0.574,0.563,0.553,0.549,0.553,0.566,0.585,0.606,0.62,0.617,0.597,0.567,0.539,0.524,0.524,0.534,0.548,0.56,0.569,0.58,0.594,0.605,0.604,0.587,0.561,0.541,0.537,0.552,0.579,0.605,0.617,0.61,0.591,0.573,0.561,0.554,0.548,0.54,0.535,0.538,0.553,0.579,0.606,0.619,0.61,0.582,0.548,0.523,0.513,0.518,0.53,0.541,0.548,0.556,0.566,0.581,0.589,0.586,0.568,0.545,0.524,0.513,0.507,0.504,0.502,0.504,0.514,0.534,0.56,0.585,0.601,0.604,0.599,0.595,0.6,0.617,0.644,0.67,0.684,0.68,0.66,0.638,0.624,0.621,0.626,0.632,0.634,0.635,0.643,0.661,0.679,0.681,0.659,0.622,0.589,0.574,0.581,0.602,0.623,0.63,0.62,0.598,0.575,0.558,0.546,0.54,0.543,0.555,0.567,0.574,0.574,0.576,0.58,0.582,0.573,0.553,0.532,0.521,0.524,0.536,0.544,0.541,0.53,0.526,0.538,0.559,0.575,0.576,0.565,0.552,0.546,0.545,0.548,0.554,0.563,0.574,0.583,0.587,0.582,0.571,0.556,0.543,0.533,0.529,0.536,0.554,0.576,0.59,0.586,0.566,0.541,0.523,0.518,0.526,0.54,0.553,0.559,0.564,0.574,0.591,0.601,0.597,0.575,0.547,0.526,0.523,0.54,0.571,0.6,0.614,0.61,0.596,0.582,0.572,0.57,0.576,0.592,0.606,0.614,0.613,0.61,0.606,0.603,0.599,0.599,0.605,0.611,0.612,0.604,0.594,0.582,0.578,0.584,0.601,0.619,0.627,0.624,0.619,0.619,0.62,0.621,0.617,0.614,0.61,0.604,0.593,0.581,0.568,0.557,0.552,0.558,0.573,0.588,0.6,0.606,0.61,0.608,0.602,0.595,0.594,0.598,0.599,0.594,0.583,0.573,0.567,0.572,0.589,0.613,0.628,0.629,0.616,0.602,0.59,0.583,0.581,0.587,0.599,0.607,0.606,0.593,0.577,0.562,0.557,0.563,0.577,0.586,0.578,0.555,0.528,0.504,0.477,0.439,0.386,0.327,0.276,0.244,0.236,0.25,0.275,0.291,0.285,0.254,0.208,0.166,0.148,0.162,0.21,0.279,0.351,0.409,0.439,0.436,0.403,0.351,0.292,0.24,0.2,0.174,0.166,0.178,0.208,0.245,0.277,0.296,0.3,0.295,0.286,0.279,0.275,0.274,0.277,0.288,0.305,0.326,0.342,0.347,0.338,0.318,0.291,0.27,0.263,0.275,0.293,0.302,0.292,0.265,0.228,0.197,0.183,0.192,0.22,0.254,0.28,0.288,0.277,0.255,0.231,0.212,0.2,0.193,0.191,0.196,0.21,0.229,0.25,0.266,0.271,0.26,0.239,0.216,0.209,0.226,0.264,0.308,0.339,0.35,0.339,0.312,0.277,0.24,0.21,0.195,0.194,0.203,0.214,0.222,0.227,0.229,0.232,0.235,0.235,0.234,0.234,0.235,0.23,0.213,0.183,0.15,0.127,0.128,0.154,0.198,0.244,0.277,0.292,0.293,0.288,0.285,0.29,0.305,0.327,0.346,0.35,0.333,0.301,0.267,0.243,0.236,0.244,0.259,0.271,0.273,0.259,0.234,0.202,0.169,0.141,0.127,0.131,0.155,0.189,0.22,0.239,0.245,0.243,0.239,0.237,0.237,0.237,0.232,0.219,0.195,0.162,0.128,0.099,0.081,0.079,0.091,0.111,0.132,0.146,0.15,0.145,0.134,0.121,0.106,0.089,0.072,0.056,0.043,0.035,0.03,0.026,0.023,0.021,0.018,0.015,0.013,0.012,0.011]