[0,0,0,0,0.002,0.004,0.009,0.015,0.021,0.028,0.035,0.04,0.045,0.047,0.049,0.051,0.054,0.06,0.067,0.071,0.072,0.07,0.066,0.062,0.058,0.052,0.047,0.044,0.045,0.05,0.056,0.06,0.061,0.06,0.058,0.055,0.051,0.046,0.04,0.036,0.036,0.043,0.057,0.074,0.086,0.087,0.076,0.064,0.057,0.059,0.065,0.071,0.08,0.104,0.154,0.223,0.288,0.323,0.318,0.284,0.244,0.214,0.198,0.193,0.192,0.191,0.187,0.176,0.155,0.126,0.098,0.081,0.08,0.096,0.122,0.148,0.163,0.167,0.164,0.163,0.17,0.178,0.181,0.18,0.179,0.183,0.192,0.2,0.204,0.205,0.208,0.213,0.218,0.217,0.204,0.178,0.143,0.109,0.083,0.069,0.07,0.084,0.114,0.157,0.209,0.258,0.29,0.3,0.289,0.27,0.252,0.241,0.234,0.226,0.217,0.208,0.199,0.187,0.168,0.14,0.109,0.081,0.063,0.055,0.052,0.051,0.05,0.049,0.048,0.049,0.05,0.05,0.048,0.043,0.039,0.037,0.038,0.043,0.055,0.078,0.111,0.15,0.186,0.21,0.219,0.218,0.216,0.218,0.224,0.228,0.226,0.213,0.196,0.185,0.192,0.221,0.258,0.283,0.283,0.263,0.237,0.217,0.206,0.198,0.191,0.185,0.184,0.188,0.194,0.195,0.186,0.168,0.147,0.132,0.131,0.144,0.164,0.177,0.177,0.164,0.145,0.129,0.118,0.11,0.105,0.106,0.115,0.128,0.135,0.129,0.115,0.107,0.118,0.148,0.184,0.21,0.218,0.212,0.201,0.193,0.19,0.19,0.192,0.196,0.207,0.229,0.252,0.264,0.257,0.236,0.214,0.201,0.201,0.21,0.221,0.231,0.236,0.235,0.228,0.211,0.186,0.159,0.139,0.133,0.143,0.163,0.185,0.201,0.207,0.207,0.205,0.206,0.209,0.207,0.194,0.171,0.146,0.131,0.138,0.168,0.21,0.251,0.276,0.282,0.271,0.249,0.22,0.19,0.165,0.15,0.142,0.138,0.14,0.162,0.212,0.285,0.358,0.404,0.41,0.385,0.35,0.322,0.308,0.303,0.299,0.292,0.284,0.277,0.272,0.267,0.258,0.251,0.255,0.272,0.296,0.308,0.296,0.26,0.22,0.192,0.185,0.196,0.215,0.235,0.251,0.26,0.26,0.251,0.236,0.219,0.209,0.21,0.224,0.242,0.256,0.256,0.245,0.228,0.21,0.193,0.175,0.162,0.165,0.196,0.257,0.339,0.422,0.484,0.514,0.514,0.494,0.468,0.442,0.419,0.399,0.381,0.362,0.339,0.312,0.28,0.25,0.229,0.227,0.246,0.276,0.293,0.281,0.239,0.188,0.149,0.133,0.136,0.148,0.163,0.178,0.193,0.205,0.215,0.224,0.233,0.245,0.258,0.267,0.268,0.258,0.238,0.217,0.202,0.196,0.197,0.201,0.206,0.217,0.243,0.289,0.347,0.398,0.422,0.414,0.387,0.358,0.337,0.328,0.326,0.328,0.329,0.324,0.306,0.274,0.235,0.203,0.19,0.201,0.229,0.255,0.262,0.244,0.208,0.165,0.125,0.095,0.076,0.066,0.061,0.059,0.056,0.051,0.046,0.044,0.048,0.064,0.091,0.122,0.147,0.161,0.171,0.187,0.21,0.23,0.234,0.218,0.193,0.174,0.179,0.212,0.264,0.314,0.342,0.342,0.327,0.312,0.306,0.311,0.323,0.334,0.336,0.323,0.292,0.251,0.213,0.192,0.196,0.22,0.25,0.271,0.273,0.252,0.217,0.179,0.146,0.121,0.104,0.095,0.091,0.09,0.088,0.089,0.099,0.124,0.161,0.203,0.237,0.257,0.261,0.256,0.254,0.262,0.279,0.291,0.288,0.269,0.248,0.245,0.273,0.326,0.384,0.424,0.432,0.411,0.372,0.334,0.308,0.303,0.317,0.341,0.36,0.365,0.356,0.337,0.313,0.296,0.293,0.309,0.341,0.375,0.397,0.399,0.384,0.359,0.333,0.314,0.304,0.304,0.313,0.33,0.349,0.366,0.37,0.359,0.338,0.316,0.298,0.281,0.258,0.227,0.195,0.173,0.17,0.184,0.209,0.236,0.259,0.284,0.322,0.378,0.442,0.492,0.506,0.482,0.437,0.393,0.365,0.354,0.356,0.361,0.364,0.36,0.35,0.336,0.321,0.311,0.313,0.331,0.363,0.396,0.416,0.418,0.403,0.381,0.361,0.348,0.343,0.345,0.35,0.355,0.357,0.356,0.352,0.349,0.346,0.342,0.334,0.317,0.291,0.26,0.23,0.206,0.189,0.179,0.176,0.176,0.182,0.203,0.247,0.316,0.394,0.453,0.476,0.465,0.437,0.408,0.388,0.376,0.367,0.358,0.348,0.334,0.313,0.284,0.249,0.218,0.206,0.223,0.266,0.315,0.353,0.369,0.366,0.355,0.344,0.337,0.338,0.349,0.368,0.387,0.4,0.402,0.395,0.382,0.368,0.356,0.349,0.345,0.34,0.329,0.309,0.283,0.258,0.241,0.232,0.228,0.225,0.225,0.229,0.233,0.227,0.204,0.17,0.135,0.108,0.093,0.084,0.079,0.074,0.073,0.076,0.087,0.104,0.121,0.13,0.124,0.106,0.082,0.063,0.057,0.066,0.086,0.114,0.143,0.169,0.188,0.202,0.21,0.215,0.218,0.22,0.222,0.223,0.222,0.219,0.216,0.212,0.209,0.206,0.202,0.2,0.206,0.222,0.248,0.273,0.288,0.292,0.297,0.317,0.359,0.411,0.456,0.478,0.478,0.464,0.446,0.429,0.415,0.404,0.394,0.383,0.365,0.335,0.29,0.242,0.208,0.209,0.248,0.313,0.378,0.417,0.417,0.385,0.338,0.294,0.267,0.261,0.275,0.302,0.337,0.375,0.407,0.426,0.425,0.407,0.379,0.349,0.32,0.291,0.263,0.24,0.227,0.227,0.236,0.252,0.266,0.276,0.292,0.325,0.378,0.437,0.481,0.494,0.484,0.462,0.443,0.432,0.429,0.431,0.432,0.429,0.413,0.383,0.341,0.304,0.289,0.305,0.348,0.399,0.435,0.442,0.418,0.374,0.327,0.291,0.272,0.269,0.274,0.286,0.309,0.343,0.381,0.406,0.402,0.375,0.343,0.323,0.32,0.321,0.314,0.293,0.266,0.242,0.227,0.219,0.216,0.218,0.237,0.28,0.345,0.417,0.477,0.512,0.521,0.511,0.489,0.464,0.443,0.429,0.422,0.417,0.405,0.379,0.343,0.307,0.291,0.304,0.342,0.388,0.423,0.429,0.403,0.357,0.31,0.279,0.27,0.279,0.295,0.314,0.34,0.373,0.404,0.421,0.415,0.389,0.355,0.326,0.304,0.287,0.275,0.269,0.269,0.271,0.268,0.259,0.251,0.252,0.274,0.317,0.374,0.423,0.451,0.452,0.433,0.406,0.382,0.369,0.369,0.378,0.388,0.391,0.381,0.359,0.329,0.3,0.282,0.284,0.307,0.34,0.366,0.37,0.347,0.307,0.267,0.246,0.247,0.266,0.291,0.317,0.347,0.38,0.406,0.416,0.405,0.382,0.358,0.337,0.315,0.29,0.262,0.242,0.234,0.235,0.236,0.235,0.238,0.257,0.3,0.366,0.441,0.5,0.526,0.515,0.479,0.435,0.399,0.378,0.37,0.367,0.366,0.36,0.346,0.321,0.286,0.252,0.238,0.258,0.31,0.375,0.423,0.435,0.41,0.366,0.324,0.299,0.293,0.303,0.324,0.354,0.39,0.425,0.446,0.442,0.415,0.378,0.343,0.318,0.301,0.29,0.285,0.287,0.293,0.295,0.289,0.277,0.268,0.273,0.302,0.353,0.414,0.462,0.484,0.478,0.452,0.42,0.393,0.378,0.374,0.381,0.391,0.398,0.394,0.376,0.344,0.311,0.294,0.307,0.349,0.4,0.436,0.443,0.42,0.379,0.333,0.293,0.264,0.246,0.241,0.256,0.294,0.348,0.395,0.412,0.393,0.356,0.326,0.315,0.316,0.316,0.303,0.279,0.253,0.232,0.22,0.22,0.233,0.263,0.311,0.372,0.432,0.477,0.499,0.498,0.482,0.458,0.436,0.421,0.416,0.419,0.423,0.424,0.419,0.409,0.399,0.395,0.404,0.426,0.453,0.472,0.473,0.455,0.43,0.409,0.397,0.394,0.395,0.397,0.402,0.414,0.436,0.464,0.484,0.491,0.484,0.47,0.455,0.445,0.439,0.435,0.434,0.433,0.432,0.427,0.416,0.402,0.387,0.381,0.39,0.415,0.448,0.474,0.489,0.491,0.487,0.482,0.478,0.475,0.473,0.471,0.468,0.465,0.462,0.458,0.455,0.454,0.46,0.475,0.494,0.511,0.518,0.513,0.504,0.498,0.498,0.501,0.502,0.498,0.492,0.488,0.491,0.497,0.5,0.498,0.487,0.472,0.456,0.442,0.431,0.425,0.424,0.43,0.443,0.459,0.47,0.473,0.467,0.458,0.454,0.458,0.47,0.482,0.484,0.472,0.447,0.419,0.4,0.4,0.42,0.452,0.483,0.498,0.485,0.446,0.394,0.353,0.34,0.364,0.414,0.469,0.503,0.497,0.45,0.376,0.3,0.24,0.205,0.188,0.183,0.182,0.183,0.186,0.188,0.192,0.201,0.219,0.246,0.27,0.279,0.268,0.242,0.217,0.203,0.201,0.204,0.211,0.222,0.246,0.289,0.347,0.408,0.454,0.472,0.461,0.428,0.391,0.37,0.375,0.408,0.457,0.502,0.52,0.502,0.455,0.398,0.355,0.341,0.361,0.406,0.46,0.498,0.501,0.464,0.398,0.325,0.264,0.223,0.2,0.189,0.186,0.187,0.191,0.194,0.199,0.212,0.235,0.264,0.284,0.286,0.268,0.238,0.211,0.193,0.184,0.182,0.183,0.192,0.219,0.274,0.357,0.449,0.526,0.568,0.572,0.548,0.513,0.484,0.47,0.476,0.496,0.517,0.523,0.503,0.459,0.406,0.368,0.361,0.389,0.445,0.507,0.551,0.555,0.514,0.443,0.367,0.305,0.267,0.247,0.239,0.235,0.233,0.232,0.231,0.234,0.245,0.266,0.292,0.313,0.32,0.312,0.295,0.279,0.266,0.257,0.251,0.249,0.255,0.277,0.32,0.379,0.438,0.481,0.496,0.487,0.464,0.444,0.436,0.444,0.467,0.495,0.517,0.52,0.497,0.455,0.411,0.386,0.395,0.437,0.499,0.558,0.585,0.563,0.496,0.403,0.315,0.251,0.214,0.199,0.195,0.193,0.192,0.192,0.196,0.207,0.229,0.26,0.292,0.309,0.301,0.27,0.231,0.197,0.176,0.166,0.159,0.153,0.156,0.183,0.241,0.318,0.385,0.415,0.399,0.354,0.308,0.284,0.289,0.317,0.35,0.369,0.363,0.328,0.273,0.214,0.17,0.16,0.192,0.257,0.327,0.368,0.361,0.32,0.271,0.239,0.226,0.222,0.221,0.227,0.252,0.296,0.347,0.381,0.383,0.355,0.319,0.293,0.281,0.272,0.254,0.222,0.183,0.146,0.121,0.112,0.12,0.146,0.193,0.259,0.338,0.415,0.468,0.485,0.471,0.444,0.422,0.415,0.424,0.44,0.454,0.451,0.421,0.364,0.293,0.221,0.169,0.152,0.18,0.242,0.307,0.339,0.319,0.26,0.19,0.139,0.113,0.107,0.111,0.124,0.155,0.208,0.274,0.33,0.355,0.351,0.333,0.318,0.311,0.306,0.297,0.284,0.272,0.267,0.268,0.273,0.276,0.277,0.279,0.293,0.329,0.377,0.414,0.42,0.394,0.356,0.329,0.326,0.341,0.361,0.373,0.374,0.367,0.357,0.347,0.337,0.331,0.336,0.354,0.382,0.401,0.394,0.356,0.3,0.247,0.214,0.2,0.195,0.192,0.192,0.212,0.262,0.332,0.395,0.425,0.413,0.374,0.33,0.298,0.28,0.272,0.266,0.261,0.257,0.252,0.246,0.238,0.233,0.242,0.276,0.335,0.403,0.45,0.455,0.419,0.368,0.33,0.321,0.343,0.382,0.418,0.434,0.425,0.393,0.346,0.296,0.257,0.244,0.266,0.317,0.368,0.391,0.374,0.33,0.282,0.248,0.229,0.219,0.209,0.194,0.174,0.155,0.146,0.154,0.182,0.224,0.267,0.296,0.304,0.289,0.259,0.224,0.197,0.188,0.197,0.213,0.222,0.222,0.231,0.272,0.349,0.443,0.515,0.541,0.522,0.481,0.444,0.421,0.41,0.405,0.399,0.391,0.384,0.379,0.374,0.364,0.355,0.357,0.382,0.428,0.473,0.493,0.473,0.424,0.372,0.338,0.331,0.342,0.36,0.381,0.407,0.44,0.47,0.48,0.46,0.419,0.377,0.35,0.339,0.33,0.313,0.289,0.263,0.239,0.216,0.198,0.191,0.205,0.245,0.31,0.387,0.457,0.503,0.516,0.505,0.483,0.466,0.461,0.471,0.489,0.503,0.5,0.476,0.43,0.373,0.318,0.281,0.28,0.316,0.373,0.418,0.422,0.38,0.317,0.27,0.258,0.278,0.31,0.34,0.367,0.395,0.426,0.446,0.442,0.411,0.368,0.332,0.312,0.301,0.285,0.258,0.23,0.214,0.215,0.227,0.239,0.246,0.257,0.286,0.34,0.41,0.472,0.504,0.502,0.479,0.454,0.444,0.448,0.46,0.471,0.471,0.46,0.44,0.416,0.39,0.369,0.357,0.362,0.387,0.423,0.45,0.444,0.396,0.318,0.233,0.166,0.13,0.124,0.143,0.182,0.238,0.303,0.357,0.375,0.349,0.297,0.246,0.216,0.208,0.213,0.224,0.24,0.258,0.273,0.278,0.271,0.257,0.252,0.277,0.343,0.445,0.548,0.616,0.627,0.594,0.546,0.512,0.505,0.518,0.536,0.541,0.52,0.471,0.403,0.338,0.298,0.297,0.337,0.401,0.468,0.511,0.512,0.467,0.394,0.316,0.255,0.22,0.212,0.228,0.267,0.325,0.395,0.456,0.488,0.482,0.45,0.409,0.374,0.345,0.321,0.305,0.299,0.302,0.304,0.296,0.275,0.25,0.241,0.265,0.327,0.417,0.504,0.56,0.573,0.55,0.514,0.485,0.473,0.478,0.487,0.49,0.481,0.457,0.426,0.392,0.366,0.362,0.39,0.45,0.522,0.581,0.605,0.59,0.549,0.5,0.458,0.43,0.42,0.425,0.445,0.477,0.515,0.543,0.55,0.532,0.499,0.459,0.422,0.382,0.339,0.294,0.256,0.234,0.231,0.244,0.265,0.287,0.313,0.353,0.415,0.494,0.572,0.634,0.667,0.679,0.677,0.673,0.672,0.674,0.674,0.662,0.629,0.575,0.506,0.438,0.391,0.378,0.404,0.46,0.519,0.554,0.545,0.496,0.423,0.348,0.289,0.252,0.237,0.242,0.269,0.322,0.395,0.466,0.51,0.513,0.485,0.445,0.409,0.378,0.348,0.316,0.285,0.264,0.255,0.254,0.255,0.252,0.256,0.286,0.352,0.443,0.526,0.577,0.587,0.572,0.553,0.541,0.538,0.537,0.531,0.514,0.48,0.426,0.357,0.288,0.239,0.233,0.278,0.366,0.461,0.525,0.53,0.479,0.394,0.304,0.237,0.206,0.218,0.262,0.327,0.4,0.466,0.508,0.51,0.471,0.414,0.365,0.339,0.33,0.321,0.304,0.286,0.274,0.27,0.271,0.269,0.268,0.279,0.314,0.379,0.456,0.52,0.545,0.529,0.486,0.44,0.41,0.401,0.408,0.42,0.423,0.406,0.364,0.305,0.241,0.185,0.14,0.106,0.084,0.078,0.088,0.114,0.149,0.183,0.209,0.224,0.229,0.229,0.226,0.222,0.219,0.218,0.217,0.218,0.22,0.224,0.226,0.226,0.224,0.222,0.225,0.235,0.252,0.273,0.292,0.304,0.313,0.334,0.378,0.449,0.527,0.589,0.617,0.611,0.586,0.56,0.545,0.544,0.551,0.555,0.545,0.514,0.462,0.397,0.331,0.285,0.277,0.318,0.396,0.479,0.53,0.527,0.477,0.407,0.347,0.311,0.301,0.309,0.332,0.371,0.426,0.485,0.524,0.522,0.478,0.413,0.356,0.32,0.304,0.298,0.296,0.296,0.3,0.308,0.318,0.327,0.334,0.348,0.384,0.448,0.53,0.613,0.68,0.723,0.744,0.749,0.748,0.747,0.748,0.743,0.72,0.667,0.583,0.482,0.392,0.339,0.337,0.38,0.447,0.506,0.533,0.515,0.462,0.396,0.341,0.308,0.297,0.296,0.304,0.328,0.377,0.443,0.497,0.513,0.486,0.437,0.395,0.373,0.365,0.357,0.343,0.324,0.309,0.299,0.293,0.284,0.276,0.284,0.325,0.402,0.493,0.566,0.599,0.592,0.565,0.542,0.539,0.554,0.579,0.596,0.592,0.559,0.499,0.426,0.365,0.34,0.367,0.44,0.534,0.611,0.635,0.595,0.508,0.411,0.342,0.316,0.327,0.355,0.392,0.439,0.502,0.572,0.623,0.629,0.588,0.518,0.447,0.39,0.348,0.316,0.295,0.288,0.29,0.293,0.29,0.288,0.298,0.338,0.414,0.517,0.615,0.678,0.688,0.655,0.605,0.568,0.557,0.571,0.594,0.608,0.601,0.567,0.512,0.446,0.386,0.354,0.37,0.435,0.529,0.608,0.634,0.59,0.498,0.403,0.344,0.33,0.345,0.368,0.398,0.443,0.509,0.579,0.623,0.618,0.572,0.507,0.448,0.401,0.363,0.331,0.312,0.308,0.315,0.32,0.315,0.303,0.303,0.333,0.4,0.49,0.576,0.628,0.636,0.608,0.566,0.531,0.518,0.523,0.534,0.531,0.506,0.459,0.397,0.329,0.268,0.234,0.249,0.317,0.413,0.491,0.515,0.478,0.405,0.333,0.285,0.267,0.269,0.283,0.312,0.361,0.428,0.492,0.526,0.514,0.465,0.399,0.34,0.303,0.291,0.298,0.312,0.323,0.325,0.315,0.298,0.289,0.3,0.344,0.421,0.513,0.593,0.643,0.654,0.64,0.617,0.602,0.6,0.606,0.609,0.593,0.553,0.49,0.415,0.337,0.272,0.24,0.259,0.328,0.42,0.495,0.521,0.494,0.431,0.357,0.293,0.249,0.226,0.224,0.249,0.304,0.383,0.458,0.497,0.48,0.42,0.349,0.298,0.279,0.28,0.284,0.278,0.259,0.234,0.211,0.202,0.217,0.262,0.339,0.439,0.54,0.62,0.662,0.664,0.642,0.614,0.596,0.594,0.602,0.609,0.6,0.568,0.518,0.462,0.416,0.393,0.4,0.437,0.492,0.546,0.578,0.577,0.548,0.504,0.463,0.437,0.428,0.435,0.455,0.488,0.531,0.577,0.611,0.622,0.606,0.574,0.537,0.505,0.48,0.46,0.444,0.433,0.423,0.416,0.41,0.407,0.407,0.414,0.436,0.481,0.543,0.603,0.642,0.653,0.645,0.632,0.625,0.629,0.639,0.647,0.64,0.617,0.581,0.543,0.512,0.498,0.509,0.545,0.596,0.641,0.664,0.661,0.644,0.633,0.64,0.66,0.679,0.681,0.667,0.649,0.644,0.654,0.668,0.672,0.658,0.636,0.621,0.624,0.64,0.654,0.654,0.645,0.638,0.646,0.666,0.685,0.687,0.67,0.647,0.637,0.647,0.666,0.677,0.666,0.642,0.62,0.612,0.619,0.634,0.65,0.662,0.665,0.66,0.647,0.632,0.622,0.622,0.635,0.657,0.675,0.674,0.648,0.599,0.543,0.496,0.465,0.45,0.442,0.437,0.431,0.424,0.417,0.414,0.416,0.424,0.437,0.451,0.458,0.453,0.437,0.415,0.396,0.39,0.399,0.416,0.431,0.439,0.447,0.471,0.521,0.589,0.652,0.687,0.688,0.666,0.64,0.627,0.632,0.653,0.679,0.697,0.699,0.686,0.666,0.648,0.639,0.642,0.654,0.672,0.685,0.682,0.653,0.603,0.545,0.491,0.45,0.424,0.409,0.402,0.401,0.405,0.412,0.42,0.43,0.442,0.459,0.481,0.496,0.497,0.476,0.443,0.415,0.405,0.417,0.436,0.449,0.452,0.465,0.509,0.589,0.68,0.75,0.776,0.764,0.735,0.711,0.704,0.721,0.756,0.797,0.824,0.822,0.792,0.751,0.719,0.708,0.72,0.752,0.794,0.832,0.844,0.815,0.747,0.659,0.572,0.504,0.459,0.436,0.43,0.434,0.441,0.446,0.448,0.449,0.457,0.478,0.508,0.532,0.536,0.514,0.475,0.438,0.421,0.427,0.442,0.452,0.454,0.469,0.517,0.598,0.685,0.742,0.752,0.731,0.708,0.701,0.715,0.744,0.782,0.818,0.838,0.832,0.802,0.765,0.74,0.734,0.747,0.773,0.803,0.823,0.813,0.763,0.678,0.582,0.495,0.433,0.397,0.382,0.378,0.379,0.38,0.379,0.379,0.385,0.4,0.419,0.433,0.428,0.402,0.366,0.335,0.316,0.307,0.304,0.304,0.309,0.325,0.367,0.447,0.56,0.678,0.764,0.796,0.777,0.737,0.702,0.691,0.702,0.724,0.737,0.732,0.71,0.681,0.655,0.641,0.64,0.651,0.669,0.689,0.7,0.694,0.663,0.599,0.501,0.375,0.242,0.13,0.055,0.017,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]