[0.1,0.107,0.121,0.133,0.14,0.144,0.147,0.151,0.155,0.16,0.17,0.189,0.213,0.234,0.236,0.217,0.188,0.164,0.152,0.152,0.153,0.153,0.156,0.168,0.192,0.218,0.231,0.226,0.207,0.19,0.18,0.178,0.178,0.179,0.183,0.196,0.218,0.243,0.256,0.25,0.229,0.205,0.189,0.183,0.182,0.183,0.187,0.2,0.222,0.244,0.253,0.244,0.222,0.2,0.186,0.182,0.181,0.181,0.184,0.197,0.22,0.244,0.253,0.239,0.208,0.177,0.16,0.157,0.159,0.16,0.16,0.168,0.191,0.222,0.242,0.241,0.22,0.192,0.171,0.161,0.162,0.172,0.193,0.224,0.261,0.295,0.314,0.314,0.296,0.274,0.255,0.244,0.24,0.242,0.249,0.265,0.288,0.311,0.325,0.325,0.311,0.293,0.277,0.269,0.266,0.268,0.275,0.288,0.307,0.324,0.333,0.33,0.319,0.31,0.306,0.307,0.306,0.3,0.293,0.294,0.304,0.319,0.328,0.324,0.308,0.289,0.276,0.271,0.272,0.274,0.28,0.29,0.307,0.325,0.335,0.329,0.309,0.286,0.269,0.264,0.266,0.269,0.271,0.275,0.285,0.302,0.318,0.321,0.307,0.282,0.259,0.244,0.239,0.239,0.241,0.245,0.257,0.275,0.294,0.301,0.293,0.275,0.258,0.249,0.248,0.248,0.248,0.251,0.262,0.283,0.306,0.319,0.315,0.296,0.275,0.259,0.251,0.248,0.248,0.252,0.263,0.281,0.298,0.305,0.298,0.281,0.266,0.259,0.263,0.276,0.293,0.312,0.331,0.349,0.368,0.385,0.401,0.414,0.423,0.425,0.414,0.388,0.348,0.306,0.274,0.257,0.255,0.26,0.269,0.283,0.299,0.312,0.315,0.305,0.29,0.279,0.277,0.28,0.281,0.274,0.257,0.235,0.216,0.209,0.217,0.234,0.252,0.26,0.254,0.236,0.214,0.193,0.175,0.162,0.153,0.151,0.154,0.163,0.181,0.207,0.238,0.269,0.292,0.307,0.315,0.317,0.315,0.308,0.298,0.288,0.281,0.279,0.28,0.283,0.285,0.288,0.292,0.3,0.31,0.318,0.32,0.313,0.303,0.294,0.291,0.293,0.297,0.298,0.297,0.298,0.304,0.312,0.314,0.303,0.282,0.258,0.239,0.227,0.222,0.22,0.217,0.211,0.203,0.197,0.196,0.201,0.213,0.233,0.259,0.284,0.301,0.303,0.29,0.272,0.259,0.262,0.282,0.308,0.323,0.321,0.306,0.29,0.279,0.274,0.27,0.262,0.252,0.248,0.254,0.269,0.284,0.287,0.273,0.248,0.226,0.218,0.229,0.257,0.289,0.31,0.308,0.284,0.254,0.237,0.24,0.255,0.264,0.257,0.235,0.211,0.196,0.195,0.207,0.227,0.247,0.26,0.262,0.259,0.256,0.259,0.263,0.267,0.273,0.286,0.306,0.322,0.32,0.296,0.262,0.236,0.229,0.24,0.256,0.266,0.262,0.248,0.229,0.21,0.193,0.178,0.168,0.164,0.168,0.182,0.198,0.213,0.221,0.224,0.223,0.221,0.217,0.213,0.211,0.212,0.217,0.225,0.233,0.239,0.244,0.249,0.255,0.264,0.277,0.29,0.302,0.308,0.305,0.297,0.287,0.284,0.292,0.308,0.326,0.337,0.337,0.328,0.319,0.317,0.319,0.319,0.308,0.287,0.266,0.254,0.257,0.268,0.275,0.27,0.256,0.242,0.234,0.233,0.235,0.241,0.252,0.272,0.292,0.303,0.292,0.262,0.223,0.195,0.186,0.196,0.217,0.244,0.275,0.308,0.335,0.344,0.332,0.305,0.279,0.267,0.271,0.284,0.296,0.299,0.294,0.288,0.286,0.292,0.301,0.308,0.31,0.31,0.308,0.303,0.29,0.271,0.255,0.251,0.26,0.273,0.279,0.277,0.27,0.268,0.274,0.282,0.283,0.273,0.256,0.241,0.237,0.241,0.245,0.237,0.214,0.187,0.17,0.17,0.181,0.189,0.19,0.189,0.196,0.214,0.234,0.245,0.243,0.238,0.241,0.257,0.279,0.301,0.32,0.337,0.352,0.363,0.369,0.368,0.361,0.353,0.347,0.339,0.323,0.293,0.253,0.215,0.196,0.201,0.222,0.243,0.254,0.26,0.268,0.28,0.292,0.296,0.294,0.292,0.296,0.308,0.325,0.339,0.347,0.348,0.346,0.344,0.341,0.336,0.33,0.325,0.325,0.323,0.316,0.297,0.272,0.249,0.239,0.243,0.255,0.27,0.286,0.302,0.32,0.337,0.349,0.353,0.352,0.351,0.354,0.355,0.348,0.325,0.293,0.265,0.255,0.267,0.289,0.304,0.301,0.284,0.267,0.259,0.26,0.261,0.257,0.25,0.25,0.262,0.28,0.293,0.294,0.286,0.282,0.285,0.292,0.294,0.29,0.285,0.288,0.303,0.326,0.345,0.352,0.347,0.335,0.324,0.319,0.319,0.323,0.329,0.336,0.344,0.355,0.365,0.37,0.369,0.366,0.363,0.36,0.354,0.347,0.343,0.351,0.369,0.393,0.408,0.408,0.391,0.367,0.347,0.338,0.337,0.342,0.35,0.36,0.373,0.384,0.386,0.38,0.369,0.362,0.361,0.365,0.367,0.369,0.376,0.392,0.414,0.432,0.438,0.429,0.409,0.387,0.368,0.356,0.351,0.352,0.362,0.381,0.406,0.428,0.436,0.424,0.401,0.375,0.354,0.339,0.323,0.306,0.293,0.292,0.305,0.325,0.34,0.342,0.334,0.325,0.322,0.323,0.321,0.315,0.309,0.311,0.324,0.342,0.354,0.353,0.342,0.328,0.321,0.324,0.334,0.346,0.357,0.369,0.381,0.392,0.398,0.394,0.383,0.372,0.367,0.367,0.369,0.372,0.379,0.393,0.411,0.425,0.431,0.429,0.422,0.415,0.41,0.408,0.408,0.408,0.407,0.406,0.409,0.415,0.421,0.421,0.41,0.389,0.367,0.35,0.344,0.345,0.349,0.353,0.357,0.36,0.359,0.352,0.343,0.337,0.34,0.35,0.361,0.365,0.365,0.366,0.372,0.38,0.386,0.382,0.371,0.358,0.351,0.349,0.349,0.35,0.353,0.361,0.371,0.38,0.382,0.373,0.355,0.332,0.314,0.305,0.306,0.308,0.305,0.296,0.291,0.294,0.305,0.312,0.309,0.295,0.282,0.278,0.283,0.291,0.296,0.301,0.308,0.32,0.331,0.333,0.322,0.301,0.283,0.278,0.287,0.304,0.323,0.344,0.366,0.389,0.407,0.416,0.414,0.406,0.396,0.388,0.383,0.381,0.383,0.385,0.386,0.383,0.38,0.376,0.37,0.357,0.343,0.336,0.34,0.35,0.36,0.363,0.363,0.364,0.369,0.371,0.364,0.348,0.332,0.323,0.322,0.321,0.313,0.295,0.276,0.269,0.284,0.314,0.341,0.352,0.348,0.336,0.321,0.302,0.277,0.254,0.245,0.258,0.288,0.323,0.349,0.358,0.356,0.346,0.332,0.315,0.297,0.287,0.291,0.312,0.344,0.376,0.396,0.398,0.387,0.373,0.36,0.352,0.344,0.338,0.337,0.349,0.369,0.39,0.396,0.38,0.342,0.299,0.269,0.26,0.263,0.267,0.266,0.27,0.283,0.301,0.306,0.286,0.246,0.208,0.191,0.199,0.22,0.245,0.27,0.303,0.341,0.376,0.396,0.401,0.396,0.388,0.378,0.366,0.356,0.354,0.361,0.374,0.389,0.402,0.41,0.409,0.4,0.384,0.367,0.353,0.341,0.336,0.34,0.357,0.378,0.394,0.39,0.37,0.344,0.326,0.323,0.33,0.338,0.342,0.345,0.355,0.372,0.388,0.389,0.371,0.34,0.314,0.304,0.31,0.324,0.337,0.346,0.356,0.372,0.39,0.398,0.39,0.37,0.348,0.333,0.329,0.333,0.346,0.37,0.401,0.429,0.442,0.43,0.399,0.363,0.338,0.331,0.336,0.345,0.35,0.351,0.355,0.365,0.38,0.391,0.392,0.385,0.376,0.372,0.373,0.378,0.387,0.401,0.416,0.426,0.427,0.42,0.416,0.421,0.437,0.457,0.47,0.471,0.461,0.447,0.436,0.435,0.442,0.453,0.46,0.458,0.443,0.418,0.392,0.376,0.376,0.39,0.41,0.424,0.428,0.421,0.407,0.39,0.376,0.366,0.361,0.355,0.347,0.341,0.34,0.35,0.368,0.389,0.408,0.422,0.431,0.434,0.427,0.411,0.388,0.368,0.359,0.364,0.38,0.396,0.404,0.4,0.389,0.378,0.369,0.358,0.346,0.335,0.333,0.342,0.359,0.376,0.388,0.393,0.396,0.399,0.402,0.405,0.408,0.412,0.417,0.426,0.439,0.45,0.454,0.447,0.434,0.422,0.414,0.405,0.39,0.369,0.35,0.345,0.356,0.377,0.398,0.411,0.414,0.409,0.399,0.386,0.373,0.361,0.354,0.356,0.371,0.396,0.42,0.432,0.428,0.415,0.399,0.385,0.372,0.361,0.358,0.368,0.389,0.414,0.433,0.439,0.435,0.425,0.414,0.404,0.399,0.401,0.411,0.424,0.433,0.433,0.422,0.402,0.379,0.359,0.346,0.34,0.337,0.336,0.34,0.352,0.371,0.391,0.403,0.41,0.413,0.415,0.415,0.407,0.391,0.373,0.362,0.364,0.38,0.403,0.421,0.428,0.425,0.416,0.406,0.396,0.383,0.366,0.35,0.342,0.346,0.36,0.377,0.389,0.394,0.393,0.387,0.378,0.373,0.377,0.392,0.411,0.427,0.431,0.422,0.402,0.378,0.359,0.349,0.351,0.358,0.367,0.374,0.384,0.396,0.41,0.421,0.428,0.432,0.433,0.43,0.421,0.405,0.387,0.372,0.365,0.37,0.384,0.4,0.412,0.419,0.422,0.421,0.417,0.413,0.413,0.419,0.429,0.435,0.433,0.426,0.425,0.434,0.449,0.459,0.454,0.438,0.423,0.419,0.427,0.439,0.445,0.442,0.428,0.407,0.387,0.375,0.373,0.376,0.376,0.371,0.367,0.373,0.39,0.412,0.428,0.432,0.425,0.414,0.401,0.389,0.376,0.369,0.372,0.389,0.415,0.437,0.444,0.435,0.419,0.407,0.405,0.41,0.413,0.412,0.41,0.413,0.424,0.44,0.455,0.466,0.472,0.471,0.463,0.45,0.439,0.439,0.45,0.466,0.478,0.481,0.474,0.461,0.446,0.434,0.426,0.421,0.413,0.401,0.391,0.392,0.406,0.425,0.438,0.438,0.427,0.414,0.407,0.404,0.4,0.394,0.391,0.397,0.414,0.436,0.452,0.453,0.444,0.435,0.433,0.436,0.436,0.427,0.415,0.41,0.418,0.437,0.459,0.477,0.488,0.493,0.49,0.479,0.468,0.462,0.466,0.476,0.485,0.488,0.481,0.463,0.438,0.414,0.398,0.391,0.388,0.385,0.382,0.386,0.398,0.419,0.441,0.458,0.466,0.466,0.459,0.447,0.43,0.416,0.407,0.411,0.424,0.438,0.443,0.434,0.415,0.397,0.385,0.381,0.377,0.372,0.368,0.373,0.389,0.415,0.443,0.465,0.476,0.474,0.463,0.448,0.437,0.437,0.451,0.471,0.49,0.498,0.492,0.472,0.446,0.423,0.41,0.405,0.403,0.399,0.394,0.397,0.411,0.434,0.456,0.472,0.478,0.476,0.467,0.456,0.446,0.444,0.452,0.467,0.479,0.483,0.474,0.457,0.438,0.425,0.419,0.417,0.413,0.405,0.4,0.407,0.429,0.459,0.484,0.493,0.485,0.47,0.456,0.449,0.447,0.45,0.459,0.472,0.483,0.486,0.476,0.453,0.422,0.397,0.388,0.398,0.423,0.449,0.467,0.474,0.47,0.458,0.44,0.416,0.387,0.36,0.346,0.345,0.348,0.346,0.339,0.335,0.344,0.364,0.384,0.391,0.382,0.367,0.357,0.356,0.361,0.371,0.385,0.403,0.421,0.434,0.436,0.428,0.413,0.397,0.386,0.38,0.376,0.372,0.371,0.381,0.404,0.431,0.451,0.451,0.432,0.403,0.379,0.367,0.367,0.377,0.394,0.418,0.441,0.454,0.45,0.426,0.388,0.347,0.319,0.309,0.314,0.318,0.313,0.303,0.302,0.321,0.354,0.381,0.384,0.364,0.339,0.329,0.339,0.365,0.4,0.438,0.472,0.494,0.499,0.486,0.46,0.43,0.405,0.391,0.384,0.377,0.367,0.358,0.361,0.378,0.401,0.414,0.414,0.406,0.403,0.407,0.415,0.421,0.427,0.437,0.453,0.467,0.474,0.469,0.455,0.44,0.43,0.424,0.418,0.405,0.39,0.379,0.382,0.398,0.417,0.424,0.41,0.381,0.353,0.34,0.345,0.361,0.382,0.405,0.43,0.455,0.474,0.481,0.474,0.456,0.437,0.422,0.413,0.406,0.403,0.411,0.434,0.465,0.489,0.492,0.476,0.455,0.445,0.449,0.463,0.476,0.492,0.515,0.545,0.575,0.592,0.587,0.563,0.527,0.496,0.475,0.464,0.457,0.451,0.45,0.458,0.475,0.497,0.517,0.532,0.542,0.545,0.539,0.521,0.498,0.481,0.479,0.489,0.5,0.502,0.495,0.488,0.49,0.5,0.51,0.513,0.512,0.514,0.524,0.54,0.554,0.559,0.553,0.536,0.507,0.472,0.439,0.42,0.422,0.444,0.476,0.507,0.529,0.536,0.525,0.493,0.443,0.39,0.353,0.341,0.347,0.353,0.347,0.335,0.335,0.358,0.396,0.428,0.439,0.433,0.428,0.437,0.463,0.495,0.522,0.537,0.539,0.532,0.518,0.498,0.47,0.438,0.41,0.392,0.384,0.382,0.385,0.396,0.42,0.453,0.483,0.494,0.483,0.458,0.431,0.412,0.402,0.405,0.423,0.456,0.491,0.516,0.519,0.497,0.452,0.396,0.344,0.309,0.291,0.28,0.264,0.248,0.248,0.279,0.334,0.392,0.43,0.44,0.434,0.425,0.422,0.43,0.452,0.485,0.52,0.544,0.548,0.531,0.501,0.475,0.459,0.452,0.446,0.442,0.448,0.472,0.508,0.54,0.552,0.539,0.508,0.472,0.443,0.426,0.422,0.427,0.441,0.459,0.476,0.489,0.492,0.484,0.459,0.421,0.381,0.353,0.342,0.344,0.353,0.369,0.394,0.429,0.463,0.476,0.459,0.418,0.373,0.347,0.348,0.371,0.408,0.447,0.482,0.506,0.515,0.507,0.484,0.448,0.41,0.383,0.377,0.393,0.425,0.463,0.497,0.518,0.521,0.506,0.478,0.446,0.422,0.413,0.418,0.432,0.449,0.468,0.486,0.501,0.507,0.499,0.48,0.457,0.439,0.432,0.433,0.44,0.455,0.48,0.513,0.543,0.558,0.55,0.524,0.491,0.463,0.447,0.444,0.45,0.467,0.494,0.527,0.554,0.566,0.554,0.521,0.477,0.441,0.423,0.426,0.444,0.471,0.503,0.538,0.566,0.578,0.563,0.519,0.454,0.381,0.314,0.26,0.219,0.189,0.169,0.158,0.155,0.159,0.164,0.167,0.166,0.164,0.163,0.164,0.166,0.167,0.168,0.168,0.168,0.168,0.168,0.166,0.166,0.168,0.173,0.182,0.195,0.213,0.236,0.264,0.291,0.312,0.322,0.32,0.31,0.294,0.274,0.257,0.256,0.284,0.344,0.42,0.488,0.523,0.516,0.473,0.406,0.335,0.275,0.233,0.208,0.197,0.201,0.226,0.271,0.329,0.376,0.39,0.363,0.31,0.254,0.213,0.187,0.176,0.179,0.203,0.252,0.321,0.39,0.437,0.452,0.441,0.416,0.393,0.376,0.37,0.375,0.395,0.424,0.454,0.47,0.463,0.434,0.396,0.36,0.331,0.309,0.297,0.3,0.322,0.361,0.406,0.439,0.445,0.421,0.38,0.337,0.304,0.282,0.27,0.267,0.277,0.304,0.342,0.375,0.385,0.366,0.327,0.286,0.253,0.228,0.211,0.206,0.222,0.266,0.336,0.413,0.476,0.511,0.518,0.504,0.474,0.433,0.389,0.355,0.347,0.371,0.421,0.472,0.499,0.489,0.453,0.414,0.393,0.393,0.407,0.424,0.441,0.463,0.493,0.521,0.533,0.521,0.491,0.46,0.44,0.432,0.425,0.413,0.403,0.407,0.434,0.464,0.472,0.439,0.374,0.301,0.246,0.213,0.199,0.2,0.222,0.272,0.347,0.421,0.464,0.457,0.414,0.365,0.338,0.337,0.35,0.365,0.384,0.417,0.465,0.514,0.541,0.534,0.5,0.46,0.434,0.433,0.458,0.503,0.555,0.601,0.627,0.625,0.592,0.533,0.463,0.401,0.361,0.341,0.331,0.324,0.326,0.348,0.391,0.44,0.466,0.45,0.401,0.344,0.307,0.298,0.308,0.325,0.347,0.38,0.424,0.468,0.491,0.482,0.446,0.399,0.359,0.334,0.331,0.35,0.389,0.442,0.497,0.538,0.55,0.523,0.468,0.409,0.372,0.363,0.37,0.38,0.395,0.425,0.477,0.538,0.584,0.598,0.588,0.576,0.579,0.584,0.567,0.512,0.44,0.392,0.401,0.456,0.517,0.55,0.554,0.553,0.565,0.581,0.58,0.55,0.51,0.488,0.501,0.535,0.558,0.549,0.519,0.499,0.51,0.543,0.57,0.57,0.548,0.528,0.533,0.554,0.567,0.552,0.519,0.495,0.505,0.545,0.593,0.625,0.638,0.642,0.647,0.648,0.635,0.602,0.566,0.546,0.554,0.576,0.585,0.566,0.531,0.509,0.522,0.565,0.611,0.639,0.646,0.645,0.648,0.649,0.639,0.616,0.591,0.578,0.584,0.596,0.597,0.581,0.561,0.555,0.572,0.597,0.607,0.593,0.566,0.551,0.565,0.595,0.612,0.594,0.552,0.514,0.509,0.528,0.544,0.53,0.497,0.474,0.488,0.525,0.555,0.552,0.515,0.462,0.415,0.385,0.376,0.39,0.423,0.459,0.476,0.463,0.423,0.378,0.347,0.334,0.331,0.325,0.309,0.289,0.275,0.281,0.311,0.36,0.415,0.46,0.489,0.502,0.505,0.501,0.49,0.471,0.453,0.444,0.448,0.453,0.448,0.422,0.386,0.352,0.336,0.341,0.365,0.404,0.458,0.519,0.575,0.612,0.617,0.592,0.551,0.51,0.48,0.462,0.452,0.447,0.445,0.442,0.439,0.437,0.442,0.456,0.477,0.5,0.514,0.514,0.499,0.475,0.451,0.43,0.418,0.41,0.407,0.405,0.406,0.408,0.408,0.404,0.395,0.386,0.383,0.394,0.416,0.441,0.462,0.472,0.477,0.478,0.479,0.473,0.458,0.436,0.424,0.437,0.481,0.535,0.572,0.573,0.546,0.51,0.487,0.488,0.518,0.569,0.626,0.668,0.682,0.661,0.607,0.529,0.45,0.388,0.355,0.345,0.349,0.363,0.392,0.441,0.505,0.564,0.597,0.598,0.577,0.553,0.543,0.558,0.604,0.673,0.744,0.797,0.82,0.811,0.772,0.713,0.644,0.58,0.529,0.492,0.471,0.473,0.501,0.554,0.613,0.65,0.642,0.597,0.553,0.552,0.606,0.692,0.773,0.824,0.842,0.835,0.808,0.757,0.684,0.606,0.554,0.556,0.612,0.693,0.765,0.805,0.814,0.802,0.78,0.754,0.726,0.7,0.681,0.677,0.689,0.713,0.739,0.757,0.758,0.741,0.71,0.685,0.678,0.69,0.704,0.702,0.683,0.663,0.66,0.678,0.702,0.716,0.708,0.677,0.632,0.588,0.557,0.543,0.539,0.535,0.53,0.533,0.556,0.599,0.644,0.668,0.658,0.62,0.576,0.543,0.52,0.503,0.489,0.493,0.523,0.578,0.633,0.664,0.657,0.626,0.59,0.567,0.552,0.54,0.531,0.538,0.568,0.624,0.692,0.757,0.803,0.824,0.813,0.776,0.729,0.698,0.7,0.734,0.777,0.805,0.802,0.768,0.713,0.655,0.607,0.576,0.553,0.533,0.516,0.514,0.537,0.582,0.628,0.653,0.642,0.61,0.577,0.557,0.546,0.539,0.533,0.539,0.565,0.607,0.648,0.667,0.654,0.622,0.589,0.566,0.55,0.538,0.529,0.535,0.565,0.618,0.682,0.743,0.787,0.806,0.796,0.762,0.721,0.7,0.712,0.749,0.788,0.803,0.783,0.735,0.674,0.622,0.592,0.585,0.587,0.588,0.586,0.59,0.611,0.65,0.697,0.742,0.772,0.783,0.77,0.737,0.7,0.681,0.692,0.728,0.765,0.785,0.777,0.745,0.701,0.661,0.633,0.618,0.608,0.597,0.586,0.587,0.609,0.651,0.703,0.749,0.779,0.787,0.772,0.74,0.707,0.694,0.712,0.751,0.788,0.801,0.783,0.74,0.688,0.648,0.627,0.622,0.62,0.615,0.609,0.616,0.644,0.691,0.743,0.784,0.805,0.801,0.774,0.734,0.7,0.692,0.715,0.754,0.784,0.787,0.76,0.715,0.668,0.629,0.603,0.587,0.578,0.574,0.575,0.578,0.577,0.572,0.568,0.57,0.581,0.595,0.607,0.615,0.62,0.627,0.636,0.647,0.656,0.661,0.66,0.653,0.643,0.629,0.615,0.6,0.586,0.573,0.56,0.548,0.535,0.521,0.503,0.482,0.458,0.432,0.408,0.384,0.362,0.34,0.319,0.299,0.281,0.264,0.247,0.231,0.216,0.201,0.187,0.172,0.154,0.131,0.102,0.071,0.045,0.033]