[0.001,0,0,0,0.001,0.002,0.004,0.006,0.01,0.013,0.016,0.019,0.023,0.027,0.033,0.038,0.045,0.053,0.064,0.079,0.096,0.115,0.134,0.154,0.174,0.192,0.203,0.21,0.218,0.234,0.257,0.281,0.296,0.296,0.284,0.268,0.255,0.245,0.236,0.227,0.217,0.209,0.206,0.209,0.216,0.223,0.227,0.229,0.229,0.228,0.225,0.218,0.208,0.2,0.199,0.205,0.217,0.23,0.24,0.247,0.252,0.255,0.257,0.259,0.259,0.258,0.258,0.261,0.266,0.274,0.283,0.291,0.296,0.298,0.296,0.292,0.286,0.28,0.274,0.269,0.267,0.266,0.264,0.26,0.252,0.244,0.237,0.234,0.233,0.232,0.23,0.227,0.223,0.219,0.215,0.214,0.216,0.221,0.229,0.238,0.246,0.251,0.254,0.256,0.256,0.256,0.256,0.257,0.259,0.262,0.266,0.27,0.276,0.282,0.285,0.285,0.283,0.288,0.305,0.339,0.387,0.433,0.467,0.481,0.481,0.476,0.47,0.466,0.462,0.458,0.454,0.452,0.451,0.452,0.451,0.447,0.442,0.438,0.439,0.445,0.454,0.46,0.461,0.454,0.442,0.43,0.421,0.415,0.409,0.4,0.388,0.376,0.365,0.354,0.342,0.33,0.318,0.311,0.309,0.311,0.317,0.325,0.331,0.333,0.329,0.321,0.311,0.305,0.304,0.307,0.311,0.313,0.31,0.305,0.299,0.294,0.294,0.295,0.296,0.294,0.29,0.286,0.286,0.29,0.296,0.301,0.306,0.309,0.31,0.306,0.301,0.297,0.296,0.295,0.292,0.289,0.293,0.312,0.348,0.393,0.427,0.439,0.423,0.391,0.358,0.336,0.323,0.317,0.311,0.306,0.3,0.294,0.288,0.282,0.277,0.272,0.267,0.264,0.262,0.263,0.268,0.28,0.299,0.321,0.335,0.335,0.325,0.31,0.298,0.289,0.282,0.276,0.27,0.264,0.258,0.254,0.255,0.26,0.263,0.26,0.253,0.246,0.248,0.259,0.284,0.321,0.366,0.405,0.426,0.426,0.411,0.391,0.372,0.356,0.342,0.328,0.314,0.3,0.285,0.271,0.26,0.253,0.248,0.245,0.241,0.237,0.233,0.228,0.222,0.212,0.2,0.187,0.175,0.168,0.164,0.164,0.17,0.186,0.215,0.251,0.288,0.319,0.346,0.37,0.391,0.406,0.412,0.409,0.395,0.37,0.334,0.291,0.25,0.227,0.23,0.259,0.298,0.33,0.347,0.352,0.35,0.34,0.317,0.286,0.263,0.26,0.275,0.293,0.3,0.291,0.268,0.236,0.2,0.164,0.137,0.121,0.115,0.115,0.115,0.112,0.107,0.102,0.1,0.104,0.114,0.129,0.151,0.181,0.216,0.254,0.29,0.319,0.337,0.341,0.334,0.322,0.31,0.302,0.297,0.299,0.305,0.314,0.319,0.321,0.324,0.331,0.335,0.332,0.323,0.315,0.314,0.316,0.315,0.308,0.296,0.287,0.28,0.273,0.261,0.239,0.209,0.178,0.153,0.138,0.13,0.126,0.123,0.118,0.113,0.108,0.105,0.106,0.111,0.115,0.119,0.12,0.118,0.116,0.117,0.128,0.154,0.193,0.238,0.278,0.305,0.319,0.325,0.327,0.328,0.327,0.328,0.333,0.338,0.34,0.331,0.313,0.289,0.265,0.246,0.239,0.245,0.267,0.301,0.335,0.36,0.372,0.373,0.368,0.359,0.346,0.328,0.304,0.274,0.24,0.205,0.175,0.155,0.151,0.166,0.201,0.25,0.299,0.338,0.36,0.368,0.362,0.347,0.326,0.307,0.296,0.292,0.289,0.282,0.273,0.266,0.262,0.258,0.25,0.236,0.218,0.201,0.186,0.173,0.161,0.151,0.147,0.158,0.186,0.232,0.282,0.326,0.35,0.352,0.333,0.296,0.248,0.198,0.154,0.125,0.111,0.109,0.117,0.132,0.152,0.175,0.2,0.225,0.248,0.264,0.266,0.255,0.233,0.207,0.185,0.169,0.161,0.157,0.154,0.15,0.144,0.14,0.14,0.147,0.162,0.183,0.205,0.224,0.236,0.242,0.244,0.246,0.254,0.269,0.291,0.316,0.342,0.364,0.384,0.4,0.41,0.413,0.406,0.39,0.37,0.353,0.344,0.346,0.354,0.364,0.374,0.382,0.388,0.392,0.398,0.409,0.427,0.451,0.474,0.487,0.485,0.474,0.462,0.453,0.442,0.425,0.404,0.389,0.389,0.406,0.429,0.446,0.449,0.44,0.427,0.422,0.425,0.429,0.428,0.419,0.41,0.412,0.426,0.439,0.44,0.42,0.392,0.372,0.373,0.389,0.403,0.399,0.379,0.36,0.36,0.381,0.415,0.445,0.459,0.453,0.434,0.416,0.408,0.411,0.415,0.407,0.385,0.357,0.337,0.337,0.355,0.377,0.391,0.393,0.391,0.393,0.401,0.406,0.401,0.386,0.368,0.358,0.363,0.381,0.401,0.413,0.411,0.396,0.381,0.374,0.374,0.373,0.366,0.358,0.358,0.372,0.391,0.403,0.396,0.37,0.339,0.318,0.318,0.33,0.341,0.337,0.318,0.297,0.29,0.303,0.328,0.347,0.348,0.335,0.328,0.341,0.376,0.415,0.439,0.442,0.435,0.429,0.432,0.441,0.448,0.446,0.436,0.424,0.418,0.419,0.423,0.424,0.415,0.401,0.39,0.39,0.402,0.419,0.43,0.428,0.416,0.401,0.392,0.392,0.395,0.396,0.389,0.378,0.371,0.377,0.392,0.408,0.413,0.406,0.395,0.39,0.394,0.4,0.399,0.387,0.372,0.367,0.378,0.398,0.41,0.4,0.371,0.336,0.316,0.323,0.353,0.392,0.421,0.43,0.42,0.403,0.395,0.398,0.407,0.409,0.405,0.4,0.403,0.413,0.424,0.429,0.428,0.427,0.429,0.435,0.44,0.434,0.413,0.379,0.344,0.325,0.33,0.349,0.367,0.369,0.358,0.347,0.35,0.366,0.384,0.39,0.379,0.354,0.329,0.317,0.325,0.35,0.379,0.401,0.408,0.404,0.396,0.393,0.4,0.415,0.426,0.425,0.412,0.395,0.386,0.388,0.398,0.412,0.429,0.449,0.468,0.475,0.458,0.418,0.372,0.34,0.334,0.347,0.358,0.348,0.319,0.29,0.281,0.303,0.344,0.382,0.395,0.384,0.363,0.356,0.367,0.386,0.394,0.384,0.365,0.356,0.366,0.391,0.414,0.416,0.398,0.371,0.355,0.357,0.369,0.374,0.362,0.34,0.323,0.324,0.345,0.372,0.391,0.392,0.378,0.363,0.361,0.372,0.385,0.388,0.381,0.371,0.374,0.391,0.419,0.447,0.466,0.473,0.47,0.464,0.463,0.468,0.473,0.468,0.452,0.43,0.417,0.419,0.436,0.454,0.461,0.457,0.447,0.437,0.43,0.421,0.405,0.383,0.362,0.355,0.366,0.392,0.421,0.441,0.447,0.445,0.441,0.437,0.431,0.417,0.399,0.383,0.381,0.394,0.415,0.432,0.43,0.411,0.386,0.371,0.373,0.382,0.382,0.366,0.339,0.319,0.319,0.338,0.363,0.377,0.376,0.368,0.369,0.387,0.418,0.45,0.472,0.482,0.482,0.484,0.493,0.506,0.512,0.5,0.473,0.44,0.413,0.399,0.393,0.386,0.374,0.361,0.356,0.369,0.398,0.428,0.445,0.443,0.43,0.417,0.413,0.417,0.421,0.412,0.391,0.368,0.357,0.366,0.386,0.402,0.399,0.379,0.354,0.343,0.348,0.358,0.356,0.338,0.314,0.302,0.314,0.344,0.377,0.394,0.39,0.374,0.362,0.363,0.372,0.377,0.37,0.357,0.354,0.371,0.407,0.446,0.472,0.473,0.453,0.428,0.416,0.421,0.439,0.46,0.477,0.49,0.502,0.512,0.52,0.524,0.518,0.504,0.483,0.463,0.447,0.434,0.418,0.397,0.378,0.372,0.385,0.414,0.443,0.456,0.445,0.416,0.383,0.361,0.353,0.353,0.347,0.334,0.319,0.318,0.339,0.375,0.411,0.43,0.427,0.411,0.396,0.39,0.391,0.39,0.382,0.372,0.368,0.38,0.402,0.425,0.434,0.424,0.397,0.368,0.35,0.343,0.339,0.327,0.305,0.288,0.289,0.313,0.345,0.368,0.37,0.355,0.339,0.337,0.347,0.36,0.358,0.339,0.311,0.293,0.295,0.314,0.339,0.353,0.353,0.345,0.344,0.357,0.374,0.382,0.374,0.356,0.345,0.353,0.377,0.402,0.417,0.414,0.401,0.384,0.366,0.348,0.329,0.313,0.298,0.282,0.263,0.243,0.227,0.221,0.225,0.231,0.234,0.23,0.219,0.202,0.179,0.155,0.135,0.125,0.126,0.135,0.151,0.168,0.185,0.203,0.22,0.238,0.255,0.269,0.282,0.293,0.305,0.321,0.342,0.366,0.387,0.402,0.408,0.409,0.409,0.412,0.417,0.423,0.425,0.422,0.416,0.415,0.423,0.437,0.45,0.455,0.449,0.44,0.434,0.433,0.432,0.424,0.407,0.387,0.374,0.374,0.386,0.404,0.42,0.429,0.43,0.427,0.422,0.414,0.401,0.385,0.372,0.37,0.38,0.391,0.395,0.381,0.356,0.335,0.333,0.351,0.374,0.387,0.385,0.377,0.38,0.402,0.434,0.463,0.475,0.47,0.458,0.447,0.445,0.45,0.454,0.448,0.431,0.407,0.391,0.388,0.397,0.407,0.41,0.408,0.409,0.418,0.431,0.435,0.426,0.406,0.385,0.374,0.375,0.385,0.398,0.406,0.406,0.401,0.399,0.401,0.405,0.403,0.393,0.383,0.383,0.397,0.415,0.422,0.409,0.378,0.346,0.329,0.334,0.354,0.371,0.371,0.356,0.339,0.336,0.351,0.37,0.378,0.365,0.339,0.319,0.323,0.352,0.391,0.423,0.437,0.437,0.432,0.432,0.44,0.447,0.448,0.441,0.43,0.422,0.423,0.427,0.429,0.421,0.405,0.39,0.386,0.396,0.413,0.423,0.422,0.41,0.397,0.392,0.397,0.404,0.406,0.399,0.387,0.382,0.392,0.411,0.43,0.436,0.431,0.421,0.419,0.425,0.431,0.428,0.414,0.397,0.388,0.395,0.408,0.415,0.401,0.368,0.332,0.313,0.323,0.359,0.403,0.436,0.446,0.434,0.414,0.398,0.394,0.398,0.4,0.399,0.399,0.408,0.422,0.435,0.44,0.438,0.433,0.433,0.437,0.438,0.426,0.396,0.358,0.329,0.324,0.342,0.365,0.377,0.37,0.356,0.354,0.374,0.409,0.444,0.462,0.456,0.427,0.391,0.364,0.356,0.362,0.369,0.365,0.351,0.333,0.32,0.321,0.34,0.368,0.395,0.409,0.407,0.394,0.381,0.373,0.371,0.374,0.385,0.406,0.434,0.459,0.47,0.463,0.448,0.438,0.44,0.446,0.445,0.428,0.399,0.373,0.364,0.374,0.392,0.401,0.394,0.381,0.379,0.394,0.415,0.424,0.41,0.379,0.35,0.341,0.353,0.375,0.39,0.388,0.375,0.368,0.378,0.403,0.427,0.434,0.421,0.4,0.388,0.394,0.416,0.437,0.442,0.431,0.411,0.399,0.402,0.414,0.425,0.427,0.422,0.421,0.43,0.447,0.464,0.474,0.472,0.46,0.442,0.425,0.416,0.413,0.406,0.391,0.372,0.361,0.369,0.392,0.417,0.43,0.432,0.429,0.432,0.44,0.442,0.428,0.398,0.367,0.352,0.362,0.39,0.422,0.446,0.456,0.453,0.444,0.435,0.429,0.422,0.405,0.381,0.359,0.351,0.361,0.381,0.399,0.404,0.397,0.387,0.386,0.398,0.416,0.431,0.435,0.428,0.421,0.422,0.432,0.445,0.451,0.447,0.436,0.428,0.428,0.435,0.441,0.44,0.432,0.426,0.431,0.448,0.467,0.477,0.473,0.466,0.47,0.492,0.525,0.556,0.572,0.574,0.568,0.561,0.558,0.559,0.56,0.555,0.541,0.522,0.507,0.498,0.492,0.478,0.449,0.415,0.394,0.398,0.424,0.455,0.472,0.47,0.457,0.449,0.458,0.478,0.495,0.496,0.48,0.46,0.453,0.466,0.493,0.521,0.538,0.542,0.537,0.533,0.53,0.524,0.505,0.476,0.447,0.431,0.436,0.454,0.472,0.478,0.471,0.465,0.47,0.491,0.517,0.535,0.537,0.525,0.508,0.498,0.499,0.504,0.501,0.49,0.477,0.476,0.487,0.5,0.499,0.477,0.44,0.409,0.402,0.424,0.464,0.501,0.523,0.532,0.54,0.557,0.579,0.594,0.591,0.572,0.552,0.545,0.557,0.577,0.592,0.588,0.566,0.537,0.515,0.508,0.511,0.516,0.509,0.491,0.472,0.466,0.477,0.495,0.503,0.493,0.475,0.466,0.477,0.499,0.513,0.501,0.471,0.444,0.445,0.475,0.518,0.55,0.555,0.537,0.514,0.503,0.507,0.519,0.527,0.52,0.5,0.48,0.472,0.477,0.489,0.492,0.481,0.466,0.463,0.48,0.505,0.518,0.507,0.481,0.46,0.459,0.481,0.517,0.553,0.573,0.569,0.541,0.506,0.477,0.459,0.446,0.432,0.416,0.408,0.412,0.425,0.437,0.433,0.412,0.383,0.363,0.362,0.378,0.4,0.414,0.418,0.42,0.427,0.441,0.453,0.451,0.433,0.409,0.392,0.393,0.405,0.416,0.413,0.395,0.372,0.354,0.348,0.352,0.357,0.352,0.333,0.308,0.293,0.295,0.31,0.322,0.317,0.296,0.27,0.26,0.276,0.319,0.374,0.424,0.457,0.476,0.49,0.501,0.506,0.498,0.481,0.461,0.452,0.457,0.474,0.493,0.499,0.482,0.447,0.409,0.385,0.379,0.382,0.377,0.361,0.339,0.328,0.334,0.35,0.359,0.349,0.325,0.305,0.302,0.319,0.339,0.345,0.33,0.304,0.286,0.289,0.311,0.336,0.345,0.331,0.306,0.29,0.292,0.309,0.323,0.32,0.299,0.277,0.271,0.292,0.334,0.383,0.425,0.454,0.469,0.476,0.477,0.473,0.457,0.43,0.396,0.372,0.371,0.391,0.418,0.433,0.431,0.423,0.427,0.447,0.469,0.474,0.453,0.415,0.382,0.372,0.384,0.402,0.408,0.395,0.371,0.353,0.353,0.368,0.384,0.385,0.366,0.335,0.313,0.311,0.328,0.351,0.358,0.344,0.321,0.311,0.325,0.36,0.396,0.413,0.407,0.389,0.376,0.376,0.39,0.403,0.408,0.404,0.401,0.407,0.42,0.432,0.433,0.42,0.398,0.379,0.373,0.38,0.392,0.393,0.377,0.353,0.336,0.338,0.352,0.364,0.361,0.343,0.324,0.32,0.334,0.356,0.37,0.37,0.361,0.354,0.358,0.372,0.388,0.395,0.387,0.368,0.351,0.347,0.356,0.367,0.367,0.354,0.338,0.336,0.351,0.375,0.391,0.396,0.394,0.398,0.415,0.446,0.484,0.519,0.544,0.554,0.55,0.542,0.536,0.537,0.539,0.54,0.537,0.53,0.522,0.514,0.503,0.489,0.476,0.465,0.46,0.456,0.448,0.431,0.409,0.392,0.39,0.406,0.428,0.44,0.43,0.403,0.373,0.356,0.357,0.369,0.379,0.372,0.349,0.323,0.311,0.321,0.348,0.38,0.406,0.427,0.448,0.475,0.504,0.525,0.527,0.508,0.476,0.446,0.433,0.439,0.453,0.46,0.451,0.43,0.41,0.398,0.396,0.397,0.391,0.374,0.351,0.337,0.341,0.362,0.385,0.392,0.376,0.347,0.325,0.324,0.335,0.342,0.33,0.306,0.287,0.286,0.304,0.331,0.354,0.369,0.381,0.396,0.416,0.436,0.447,0.446,0.432,0.414,0.402,0.399,0.4,0.396,0.383,0.365,0.349,0.343,0.347,0.356,0.362,0.357,0.344,0.33,0.329,0.345,0.374,0.399,0.403,0.381,0.336,0.286,0.24,0.203,0.174,0.15,0.131,0.116,0.104,0.094,0.087,0.087,0.098,0.122,0.155,0.19,0.22,0.238,0.242,0.229,0.204,0.177,0.162,0.168,0.194,0.228,0.261,0.279,0.28,0.267,0.252,0.243,0.243,0.245,0.242,0.239,0.243,0.256,0.27,0.27,0.25,0.219,0.192,0.179,0.181,0.191,0.205,0.221,0.245,0.276,0.316,0.355,0.387,0.406,0.415,0.418,0.421,0.424,0.426,0.424,0.419,0.413,0.409,0.405,0.401,0.401,0.404,0.411,0.417,0.419,0.416,0.409,0.402,0.399,0.404,0.422,0.453,0.491,0.524,0.539,0.538,0.528,0.523,0.524,0.526,0.52,0.507,0.491,0.482,0.485,0.499,0.517,0.528,0.529,0.524,0.519,0.518,0.518,0.513,0.502,0.496,0.503,0.522,0.535,0.524,0.482,0.427,0.384,0.374,0.393,0.42,0.433,0.431,0.428,0.439,0.466,0.499,0.525,0.533,0.525,0.511,0.502,0.502,0.503,0.496,0.479,0.461,0.456,0.471,0.497,0.522,0.532,0.529,0.522,0.52,0.529,0.538,0.537,0.517,0.483,0.452,0.439,0.45,0.476,0.503,0.517,0.517,0.511,0.51,0.514,0.516,0.506,0.485,0.465,0.461,0.475,0.496,0.507,0.499,0.475,0.446,0.426,0.421,0.428,0.434,0.426,0.405,0.385,0.383,0.401,0.427,0.437,0.423,0.398,0.388,0.411,0.46,0.51,0.537,0.535,0.517,0.503,0.505,0.522,0.544,0.557,0.559,0.553,0.55,0.551,0.554,0.552,0.541,0.522,0.501,0.49,0.497,0.517,0.537,0.546,0.54,0.527,0.517,0.517,0.525,0.532,0.53,0.517,0.504,0.503,0.521,0.55,0.576,0.591,0.6,0.61,0.622,0.625,0.607,0.568,0.526,0.503,0.507,0.527,0.534,0.509,0.457,0.403,0.376,0.393,0.445,0.509,0.559,0.581,0.574,0.555,0.54,0.54,0.55,0.561,0.568,0.575,0.587,0.6,0.607,0.599,0.58,0.558,0.544,0.54,0.536,0.517,0.475,0.421,0.377,0.363,0.382,0.414,0.435,0.431,0.414,0.41,0.435,0.483,0.529,0.547,0.525,0.472,0.411,0.361,0.333,0.325,0.327,0.333,0.335,0.332,0.324,0.316,0.315,0.332,0.373,0.434,0.501,0.553,0.58,0.586,0.584,0.58,0.568,0.538,0.501,0.483,0.508,0.572,0.641,0.678,0.661,0.594,0.496,0.387,0.288,0.212,0.161,0.133,0.118,0.109,0.103,0.099,0.096,0.096,0.1,0.109,0.126,0.149,0.18,0.221,0.278,0.349,0.432,0.513,0.577,0.611,0.616,0.598,0.575,0.561,0.565,0.583,0.603,0.615,0.618,0.618,0.62,0.623,0.621,0.614,0.608,0.609,0.617,0.626,0.625,0.615,0.6,0.591,0.591,0.596,0.599,0.594,0.58,0.567,0.563,0.57,0.581,0.585,0.579,0.569,0.564,0.572,0.589,0.604,0.606,0.594,0.577,0.565,0.567,0.579,0.592,0.596,0.589,0.575,0.563,0.557,0.551,0.54,0.524,0.517,0.534,0.576,0.63,0.675,0.7,0.705,0.696,0.681,0.669,0.665,0.664,0.661,0.651,0.636,0.622,0.614,0.611,0.606,0.597,0.587,0.584,0.593,0.61,0.625,0.627,0.616,0.602,0.596,0.602,0.61,0.61,0.594,0.569,0.551,0.553,0.574,0.601,0.619,0.617,0.598,0.574,0.56,0.558,0.565,0.569,0.569,0.568,0.574,0.592,0.622,0.657,0.688,0.711,0.722,0.723,0.716,0.699,0.666,0.617,0.561,0.513,0.491,0.503,0.544,0.595,0.637,0.654,0.647,0.629,0.611,0.592,0.566,0.535,0.514,0.517,0.541,0.568,0.577,0.561,0.532,0.512,0.516,0.538,0.558,0.556,0.532,0.502,0.488,0.502,0.533,0.562,0.571,0.56,0.545,0.544,0.561,0.583,0.592,0.576,0.54,0.505,0.49,0.501,0.527,0.545,0.541,0.525,0.515,0.527,0.557,0.583,0.586,0.566,0.539,0.523,0.531,0.556,0.581,0.592,0.584,0.567,0.556,0.559,0.567,0.566,0.545,0.511,0.482,0.476,0.494,0.521,0.539,0.535,0.518,0.504,0.508,0.528,0.548,0.552,0.539,0.523,0.521,0.538,0.567,0.589,0.595,0.584,0.568,0.559,0.559,0.562,0.555,0.535,0.507,0.487,0.485,0.499,0.517,0.527,0.522,0.51,0.505,0.516,0.535,0.549,0.544,0.522,0.497,0.488,0.499,0.527,0.556,0.576,0.583,0.582,0.584,0.588,0.585,0.564,0.525,0.489,0.478,0.5,0.54,0.57,0.572,0.553,0.534,0.536,0.555,0.575,0.575,0.553,0.523,0.51,0.527,0.57,0.629,0.694,0.758,0.809,0.828,0.8,0.727,0.634,0.548,0.487,0.45,0.427,0.407,0.391,0.38,0.373,0.364,0.345,0.316,0.281,0.248,0.224,0.207,0.194,0.183,0.17,0.157,0.142,0.125,0.107,0.09,0.074,0.061,0.052,0.044,0.038,0.033,0.028,0.023,0.019,0.015,0.011,0.009,0.008,0.008,0.007,0.006,0.005,0.004,0.003,0.003,0.002,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0]