[0,0,0,0,0,0,0,0.001,0.002,0.003,0.004,0.007,0.01,0.014,0.018,0.024,0.028,0.032,0.032,0.031,0.029,0.029,0.032,0.037,0.043,0.049,0.053,0.057,0.061,0.066,0.072,0.08,0.087,0.091,0.093,0.092,0.089,0.086,0.085,0.085,0.085,0.084,0.081,0.076,0.073,0.071,0.073,0.08,0.092,0.106,0.12,0.128,0.13,0.129,0.129,0.132,0.141,0.155,0.172,0.186,0.195,0.197,0.193,0.187,0.182,0.182,0.185,0.196,0.218,0.257,0.311,0.369,0.413,0.434,0.433,0.424,0.416,0.413,0.411,0.406,0.394,0.374,0.349,0.325,0.306,0.293,0.283,0.271,0.258,0.245,0.238,0.241,0.257,0.281,0.306,0.323,0.324,0.312,0.29,0.265,0.239,0.213,0.191,0.176,0.171,0.176,0.19,0.205,0.216,0.219,0.214,0.203,0.19,0.178,0.172,0.175,0.183,0.191,0.187,0.17,0.144,0.118,0.105,0.106,0.116,0.126,0.124,0.11,0.087,0.068,0.058,0.058,0.061,0.064,0.071,0.082,0.096,0.105,0.101,0.083,0.059,0.039,0.03,0.041,0.073,0.123,0.181,0.233,0.271,0.292,0.3,0.3,0.297,0.297,0.3,0.306,0.313,0.317,0.319,0.321,0.322,0.324,0.327,0.329,0.328,0.325,0.32,0.317,0.317,0.319,0.323,0.327,0.329,0.331,0.333,0.333,0.332,0.331,0.327,0.323,0.318,0.315,0.315,0.317,0.32,0.323,0.323,0.322,0.319,0.315,0.311,0.309,0.317,0.347,0.404,0.478,0.542,0.575,0.576,0.562,0.544,0.529,0.517,0.516,0.529,0.543,0.55,0.54,0.515,0.468,0.402,0.334,0.298,0.309,0.356,0.403,0.423,0.411,0.386,0.365,0.357,0.357,0.357,0.349,0.327,0.296,0.265,0.244,0.231,0.221,0.209,0.2,0.202,0.213,0.226,0.232,0.226,0.213,0.202,0.201,0.211,0.225,0.238,0.245,0.247,0.247,0.246,0.247,0.251,0.258,0.263,0.262,0.255,0.244,0.236,0.238,0.252,0.272,0.288,0.289,0.273,0.248,0.227,0.217,0.215,0.216,0.216,0.217,0.224,0.251,0.295,0.351,0.394,0.415,0.412,0.404,0.404,0.413,0.419,0.41,0.388,0.366,0.364,0.385,0.415,0.429,0.417,0.388,0.363,0.352,0.355,0.364,0.369,0.365,0.347,0.317,0.278,0.237,0.198,0.165,0.139,0.126,0.128,0.143,0.165,0.188,0.209,0.224,0.239,0.255,0.271,0.281,0.279,0.265,0.246,0.228,0.214,0.201,0.186,0.174,0.17,0.177,0.187,0.189,0.178,0.162,0.156,0.167,0.189,0.204,0.205,0.202,0.218,0.263,0.33,0.389,0.418,0.408,0.368,0.33,0.318,0.346,0.392,0.433,0.44,0.42,0.381,0.346,0.32,0.306,0.302,0.31,0.334,0.37,0.407,0.422,0.406,0.368,0.33,0.309,0.308,0.318,0.325,0.319,0.294,0.258,0.222,0.2,0.196,0.204,0.215,0.223,0.227,0.228,0.224,0.219,0.22,0.233,0.257,0.28,0.294,0.295,0.29,0.285,0.283,0.28,0.275,0.269,0.267,0.272,0.282,0.295,0.306,0.312,0.311,0.304,0.294,0.288,0.288,0.288,0.282,0.268,0.251,0.24,0.241,0.25,0.257,0.253,0.235,0.215,0.203,0.207,0.224,0.25,0.283,0.326,0.373,0.414,0.431,0.418,0.384,0.352,0.346,0.368,0.403,0.42,0.409,0.378,0.359,0.368,0.404,0.441,0.458,0.447,0.424,0.411,0.417,0.434,0.437,0.417,0.381,0.353,0.352,0.382,0.433,0.486,0.525,0.538,0.527,0.503,0.481,0.466,0.462,0.465,0.477,0.495,0.518,0.54,0.551,0.544,0.518,0.488,0.466,0.46,0.454,0.439,0.416,0.401,0.406,0.427,0.446,0.449,0.442,0.439,0.455,0.48,0.5,0.496,0.48,0.467,0.478,0.508,0.541,0.557,0.549,0.528,0.503,0.485,0.462,0.434,0.4,0.381,0.384,0.408,0.436,0.452,0.452,0.448,0.453,0.471,0.492,0.497,0.48,0.448,0.428,0.432,0.461,0.49,0.499,0.483,0.456,0.441,0.452,0.487,0.521,0.534,0.513,0.47,0.42,0.378,0.341,0.307,0.28,0.268,0.274,0.295,0.321,0.339,0.343,0.327,0.3,0.275,0.265,0.278,0.308,0.344,0.372,0.383,0.369,0.334,0.294,0.27,0.275,0.3,0.331,0.358,0.387,0.428,0.481,0.531,0.562,0.565,0.548,0.522,0.508,0.504,0.505,0.495,0.47,0.439,0.42,0.427,0.458,0.498,0.524,0.526,0.509,0.494,0.494,0.505,0.506,0.486,0.447,0.412,0.401,0.417,0.447,0.468,0.467,0.451,0.439,0.447,0.473,0.501,0.514,0.5,0.466,0.423,0.385,0.355,0.33,0.312,0.303,0.306,0.32,0.338,0.352,0.356,0.343,0.318,0.292,0.279,0.284,0.303,0.328,0.35,0.363,0.361,0.339,0.303,0.266,0.245,0.247,0.265,0.284,0.295,0.299,0.302,0.308,0.32,0.335,0.35,0.361,0.361,0.345,0.317,0.288,0.275,0.287,0.325,0.384,0.446,0.494,0.511,0.499,0.472,0.452,0.452,0.472,0.494,0.499,0.483,0.457,0.447,0.461,0.49,0.51,0.51,0.494,0.48,0.483,0.503,0.532,0.554,0.561,0.543,0.509,0.463,0.417,0.373,0.332,0.299,0.281,0.286,0.313,0.36,0.409,0.447,0.456,0.443,0.42,0.416,0.435,0.47,0.497,0.505,0.498,0.486,0.479,0.473,0.475,0.484,0.505,0.522,0.527,0.511,0.488,0.47,0.469,0.48,0.492,0.495,0.489,0.483,0.483,0.49,0.492,0.491,0.49,0.505,0.531,0.555,0.558,0.535,0.499,0.469,0.459,0.47,0.49,0.499,0.487,0.456,0.427,0.415,0.426,0.447,0.46,0.458,0.446,0.438,0.441,0.459,0.486,0.511,0.521,0.512,0.494,0.484,0.487,0.501,0.514,0.525,0.532,0.538,0.537,0.529,0.511,0.486,0.454,0.419,0.385,0.355,0.333,0.321,0.318,0.319,0.316,0.306,0.294,0.288,0.293,0.307,0.325,0.342,0.357,0.373,0.398,0.433,0.473,0.496,0.497,0.482,0.471,0.476,0.491,0.5,0.489,0.462,0.438,0.436,0.457,0.484,0.494,0.481,0.456,0.445,0.455,0.482,0.507,0.516,0.51,0.502,0.502,0.511,0.517,0.51,0.492,0.469,0.455,0.451,0.459,0.478,0.502,0.522,0.525,0.51,0.481,0.448,0.411,0.372,0.335,0.306,0.285,0.274,0.27,0.276,0.293,0.315,0.334,0.34,0.335,0.322,0.314,0.315,0.324,0.333,0.334,0.329,0.325,0.338,0.373,0.424,0.469,0.499,0.511,0.519,0.527,0.533,0.533,0.53,0.531,0.535,0.545,0.552,0.559,0.557,0.554,0.548,0.553,0.56,0.567,0.558,0.533,0.5,0.477,0.478,0.503,0.536,0.551,0.538,0.507,0.484,0.483,0.502,0.519,0.518,0.501,0.487,0.493,0.518,0.555,0.584,0.593,0.575,0.54,0.498,0.464,0.439,0.421,0.403,0.387,0.377,0.381,0.404,0.442,0.481,0.499,0.494,0.477,0.471,0.49,0.528,0.565,0.581,0.574,0.554,0.542,0.543,0.55,0.544,0.52,0.486,0.463,0.467,0.498,0.546,0.59,0.611,0.597,0.563,0.529,0.517,0.53,0.558,0.589,0.611,0.619,0.611,0.597,0.584,0.577,0.566,0.548,0.522,0.505,0.501,0.51,0.517,0.513,0.499,0.488,0.495,0.519,0.545,0.55,0.53,0.496,0.472,0.473,0.501,0.541,0.572,0.582,0.566,0.534,0.494,0.457,0.422,0.39,0.361,0.339,0.329,0.333,0.359,0.404,0.461,0.509,0.538,0.543,0.538,0.533,0.533,0.529,0.522,0.518,0.525,0.538,0.545,0.546,0.548,0.564,0.585,0.602,0.597,0.579,0.556,0.546,0.55,0.562,0.567,0.562,0.553,0.547,0.55,0.55,0.541,0.521,0.504,0.501,0.515,0.534,0.542,0.53,0.506,0.485,0.478,0.483,0.487,0.477,0.452,0.422,0.408,0.42,0.448,0.466,0.46,0.434,0.408,0.387,0.366,0.337,0.296,0.255,0.231,0.236,0.262,0.295,0.317,0.332,0.352,0.386,0.422,0.436,0.414,0.362,0.303,0.258,0.238,0.239,0.247,0.256,0.267,0.283,0.304,0.323,0.332,0.34,0.356,0.381,0.395,0.383,0.342,0.298,0.271,0.274,0.304,0.347,0.384,0.393,0.376,0.348,0.342,0.364,0.398,0.409,0.386,0.341,0.31,0.317,0.364,0.426,0.47,0.481,0.467,0.458,0.469,0.498,0.522,0.516,0.479,0.431,0.407,0.419,0.452,0.461,0.426,0.359,0.304,0.289,0.311,0.345,0.366,0.37,0.367,0.367,0.373,0.375,0.361,0.331,0.306,0.307,0.338,0.371,0.382,0.364,0.336,0.312,0.304,0.306,0.31,0.305,0.288,0.263,0.242,0.236,0.251,0.286,0.332,0.372,0.385,0.365,0.324,0.288,0.28,0.307,0.365,0.428,0.472,0.477,0.451,0.415,0.398,0.406,0.43,0.447,0.444,0.425,0.408,0.414,0.44,0.47,0.48,0.462,0.424,0.393,0.393,0.426,0.473,0.498,0.485,0.445,0.415,0.419,0.451,0.474,0.46,0.412,0.36,0.337,0.346,0.368,0.375,0.357,0.324,0.301,0.302,0.321,0.34,0.349,0.357,0.379,0.421,0.465,0.492,0.49,0.465,0.428,0.391,0.36,0.34,0.333,0.335,0.345,0.363,0.388,0.418,0.454,0.494,0.531,0.547,0.533,0.495,0.456,0.439,0.452,0.487,0.521,0.537,0.519,0.475,0.426,0.398,0.406,0.439,0.472,0.48,0.465,0.448,0.457,0.49,0.529,0.547,0.534,0.501,0.467,0.444,0.435,0.429,0.419,0.397,0.367,0.337,0.314,0.303,0.303,0.309,0.316,0.321,0.322,0.322,0.32,0.318,0.315,0.313,0.313,0.316,0.324,0.334,0.345,0.354,0.356,0.35,0.338,0.319,0.299,0.28,0.264,0.252,0.244,0.24,0.24,0.244,0.251,0.261,0.271,0.28,0.287,0.293,0.298,0.303,0.307,0.309,0.31,0.309,0.308,0.307,0.307,0.308,0.309,0.312,0.313,0.314,0.314,0.314,0.314,0.315,0.317,0.32,0.318,0.308,0.289,0.264,0.243,0.231,0.228,0.231,0.236,0.239,0.241,0.24,0.238,0.236,0.235,0.236,0.237,0.24,0.243,0.248,0.253,0.257,0.258,0.258,0.258,0.26,0.268,0.283,0.31,0.35,0.401,0.446,0.471,0.463,0.428,0.386,0.362,0.372,0.412,0.463,0.502,0.519,0.515,0.505,0.5,0.502,0.504,0.494,0.466,0.423,0.379,0.345,0.324,0.315,0.312,0.312,0.314,0.317,0.322,0.329,0.335,0.338,0.335,0.33,0.323,0.315,0.299,0.279,0.262,0.26,0.273,0.29,0.3,0.302,0.3,0.297,0.292,0.284,0.272,0.264,0.267,0.282,0.305,0.322,0.322,0.304,0.277,0.252,0.237,0.226,0.22,0.223,0.24,0.268,0.294,0.313,0.334,0.366,0.409,0.445,0.468,0.476,0.476,0.466,0.444,0.422,0.418,0.444,0.486,0.52,0.524,0.5,0.463,0.433,0.418,0.417,0.419,0.415,0.396,0.365,0.33,0.299,0.278,0.263,0.247,0.23,0.222,0.229,0.251,0.277,0.299,0.311,0.316,0.318,0.321,0.321,0.317,0.306,0.291,0.278,0.27,0.269,0.276,0.289,0.306,0.32,0.327,0.325,0.316,0.307,0.306,0.316,0.33,0.338,0.329,0.303,0.272,0.255,0.266,0.305,0.361,0.414,0.449,0.455,0.441,0.421,0.416,0.434,0.468,0.502,0.522,0.529,0.53,0.53,0.524,0.51,0.492,0.484,0.49,0.506,0.517,0.515,0.501,0.487,0.487,0.499,0.513,0.509,0.478,0.428,0.385,0.366,0.375,0.392,0.391,0.363,0.322,0.294,0.296,0.33,0.382,0.431,0.456,0.45,0.422,0.388,0.364,0.347,0.333,0.316,0.307,0.316,0.347,0.391,0.43,0.451,0.449,0.436,0.422,0.415,0.407,0.392,0.373,0.365,0.378,0.402,0.422,0.418,0.399,0.382,0.391,0.425,0.463,0.48,0.474,0.459,0.455,0.47,0.49,0.501,0.493,0.481,0.475,0.48,0.487,0.484,0.472,0.46,0.459,0.467,0.477,0.473,0.454,0.429,0.416,0.427,0.457,0.485,0.483,0.445,0.382,0.331,0.311,0.323,0.338,0.333,0.304,0.276,0.273,0.3,0.343,0.376,0.388,0.373,0.347,0.321,0.316,0.336,0.374,0.411,0.426,0.419,0.404,0.403,0.421,0.445,0.458,0.457,0.454,0.459,0.469,0.462,0.429,0.381,0.349,0.348,0.37,0.387,0.387,0.377,0.381,0.41,0.445,0.461,0.435,0.384,0.341,0.338,0.372,0.418,0.448,0.451,0.441,0.436,0.449,0.469,0.487,0.492,0.49,0.485,0.483,0.485,0.484,0.476,0.454,0.423,0.393,0.375,0.371,0.378,0.387,0.393,0.392,0.386,0.382,0.385,0.394,0.405,0.415,0.422,0.426,0.427,0.428,0.43,0.437,0.449,0.466,0.483,0.495,0.5,0.501,0.502,0.504,0.504,0.504,0.504,0.506,0.505,0.502,0.499,0.499,0.499,0.498,0.496,0.496,0.497,0.495,0.488,0.478,0.472,0.47,0.472,0.479,0.49,0.504,0.514,0.517,0.515,0.512,0.505,0.495,0.482,0.472,0.465,0.46,0.458,0.457,0.46,0.465,0.472,0.479,0.489,0.493,0.489,0.477,0.468,0.471,0.487,0.507,0.513,0.501,0.477,0.462,0.465,0.482,0.496,0.492,0.472,0.451,0.448,0.465,0.497,0.521,0.526,0.504,0.467,0.425,0.387,0.352,0.318,0.288,0.266,0.254,0.252,0.256,0.261,0.262,0.258,0.247,0.237,0.235,0.245,0.266,0.294,0.32,0.339,0.341,0.322,0.286,0.247,0.221,0.213,0.222,0.244,0.285,0.348,0.425,0.496,0.541,0.549,0.528,0.496,0.473,0.47,0.483,0.501,0.509,0.506,0.5,0.505,0.521,0.538,0.541,0.523,0.494,0.464,0.448,0.451,0.466,0.477,0.475,0.458,0.443,0.443,0.462,0.486,0.495,0.483,0.459,0.441,0.44,0.455,0.472,0.479,0.47,0.446,0.416,0.387,0.36,0.332,0.304,0.281,0.267,0.261,0.263,0.268,0.272,0.272,0.264,0.252,0.243,0.244,0.258,0.282,0.311,0.337,0.351,0.345,0.32,0.284,0.252,0.235,0.237,0.252,0.279,0.316,0.362,0.41,0.444,0.454,0.434,0.4,0.371,0.367,0.387,0.422,0.454,0.473,0.477,0.477,0.482,0.497,0.513,0.517,0.506,0.486,0.476,0.483,0.504,0.521,0.518,0.494,0.461,0.44,0.439,0.45,0.455,0.447,0.432,0.425,0.44,0.478,0.53,0.573,0.589,0.567,0.52,0.464,0.414,0.371,0.333,0.301,0.285,0.294,0.326,0.376,0.424,0.457,0.463,0.446,0.414,0.384,0.37,0.378,0.4,0.423,0.441,0.446,0.445,0.434,0.418,0.409,0.419,0.447,0.476,0.492,0.488,0.478,0.47,0.477,0.487,0.492,0.483,0.467,0.453,0.448,0.455,0.46,0.464,0.467,0.481,0.5,0.513,0.509,0.488,0.463,0.451,0.461,0.486,0.511,0.515,0.492,0.449,0.409,0.391,0.401,0.425,0.445,0.448,0.44,0.438,0.45,0.477,0.505,0.524,0.527,0.517,0.502,0.487,0.474,0.46,0.446,0.435,0.431,0.433,0.437,0.436,0.431,0.421,0.408,0.395,0.38,0.364,0.348,0.338,0.336,0.339,0.337,0.327,0.31,0.296,0.288,0.288,0.295,0.315,0.354,0.414,0.488,0.553,0.589,0.585,0.551,0.508,0.479,0.477,0.495,0.518,0.526,0.519,0.509,0.512,0.528,0.545,0.544,0.52,0.484,0.455,0.451,0.469,0.496,0.507,0.494,0.462,0.435,0.428,0.446,0.472,0.486,0.482,0.467,0.461,0.473,0.502,0.534,0.556,0.558,0.54,0.509,0.475,0.445,0.416,0.387,0.358,0.334,0.318,0.318,0.337,0.374,0.415,0.445,0.461,0.47,0.48,0.482,0.472,0.45,0.433,0.428,0.436,0.44,0.434,0.424,0.427,0.451,0.485,0.513,0.526,0.531,0.528,0.521,0.509,0.498,0.495,0.5,0.509,0.514,0.515,0.503,0.488,0.473,0.472,0.485,0.509,0.527,0.527,0.508,0.485,0.479,0.495,0.522,0.533,0.518,0.48,0.445,0.434,0.45,0.479,0.496,0.495,0.478,0.465,0.465,0.481,0.504,0.524,0.53,0.517,0.49,0.457,0.424,0.394,0.365,0.338,0.317,0.303,0.302,0.322,0.364,0.418,0.461,0.483,0.488,0.501,0.53,0.568,0.589,0.578,0.542,0.508,0.502,0.525,0.555,0.566,0.552,0.521,0.493,0.481,0.492,0.521,0.553,0.573,0.568,0.547,0.524,0.52,0.533,0.559,0.582,0.598,0.606,0.611,0.615,0.616,0.611,0.591,0.561,0.528,0.508,0.506,0.518,0.525,0.514,0.487,0.462,0.457,0.475,0.499,0.503,0.48,0.439,0.41,0.412,0.445,0.496,0.541,0.565,0.563,0.545,0.517,0.49,0.462,0.435,0.411,0.392,0.379,0.375,0.389,0.424,0.479,0.53,0.559,0.551,0.523,0.498,0.492,0.503,0.517,0.528,0.538,0.553,0.568,0.577,0.577,0.577,0.579,0.581,0.577,0.568,0.562,0.564,0.579,0.594,0.604,0.599,0.586,0.572,0.562,0.555,0.547,0.538,0.532,0.536,0.545,0.55,0.54,0.513,0.482,0.467,0.479,0.514,0.551,0.563,0.543,0.496,0.453,0.432,0.437,0.45,0.45,0.431,0.404,0.38,0.358,0.333,0.303,0.276,0.26,0.263,0.281,0.306,0.329,0.34,0.346,0.356,0.378,0.397,0.398,0.372,0.33,0.293,0.273,0.271,0.276,0.279,0.281,0.286,0.301,0.322,0.34,0.348,0.354,0.365,0.382,0.388,0.371,0.333,0.299,0.295,0.329,0.389,0.444,0.471,0.454,0.412,0.368,0.353,0.368,0.398,0.414,0.404,0.384,0.379,0.407,0.455,0.501,0.523,0.524,0.515,0.513,0.525,0.548,0.567,0.561,0.522,0.46,0.407,0.389,0.405,0.423,0.412,0.365,0.308,0.275,0.279,0.306,0.334,0.349,0.354,0.359,0.373,0.392,0.407,0.405,0.391,0.379,0.383,0.399,0.411,0.406,0.39,0.375,0.368,0.368,0.372,0.377,0.381,0.381,0.376,0.357,0.325,0.286,0.259,0.254,0.269,0.277,0.264,0.235,0.219,0.238,0.291,0.362,0.424,0.461,0.463,0.441,0.413,0.401,0.41,0.43,0.444,0.438,0.42,0.403,0.41,0.438,0.479,0.512,0.53,0.531,0.53,0.54,0.564,0.589,0.593,0.564,0.507,0.453,0.428,0.437,0.459,0.46,0.429,0.381,0.351,0.356,0.384,0.406,0.399,0.366,0.33,0.314,0.322,0.338,0.345,0.345,0.356,0.392,0.447,0.5,0.536,0.55,0.545,0.522,0.493,0.469,0.459,0.453,0.44,0.423,0.42,0.447,0.499,0.561,0.606,0.624,0.606,0.564,0.517,0.488,0.481,0.484,0.487,0.484,0.478,0.459,0.426,0.388,0.37,0.388,0.435,0.49,0.53,0.551,0.552,0.549,0.543,0.534,0.514,0.479,0.431,0.383,0.346,0.322,0.303,0.277,0.242,0.207,0.182,0.167,0.16,0.156,0.157,0.162,0.172,0.185,0.198,0.207,0.21,0.205,0.192,0.176,0.157,0.135,0.11,0.081,0.055,0.038,0.038,0.056,0.087,0.122,0.146,0.149,0.13,0.099,0.066,0.04,0.025,0.02,0.029,0.066,0.135,0.233,0.33,0.407,0.455,0.489,0.526,0.571,0.612,0.629,0.617,0.588,0.564,0.557,0.563,0.566,0.56,0.547,0.541,0.552,0.58,0.614,0.635,0.63,0.595,0.549,0.509,0.495,0.503,0.524,0.542,0.548,0.548,0.549,0.563,0.582,0.598,0.602,0.598,0.592,0.584,0.57,0.545,0.517,0.492,0.485,0.496,0.522,0.555,0.587,0.609,0.615,0.606,0.58,0.546,0.507,0.472,0.438,0.411,0.395,0.394,0.403,0.408,0.407,0.396,0.387,0.377,0.37,0.359,0.352,0.356,0.377,0.408,0.434,0.445,0.44,0.434,0.431,0.432,0.431,0.426,0.419,0.414,0.408,0.388,0.349,0.291,0.224,0.161,0.111,0.075,0.053,0.038,0.029,0.021,0.015,0.01,0.006,0.003,0.002,0.001]