[0,0,0.001,0.001,0.002,0.003,0.004,0.005,0.007,0.009,0.01,0.012,0.013,0.014,0.016,0.018,0.02,0.023,0.026,0.03,0.032,0.033,0.033,0.031,0.028,0.027,0.03,0.039,0.057,0.084,0.116,0.148,0.175,0.194,0.206,0.208,0.199,0.183,0.163,0.147,0.137,0.134,0.133,0.132,0.13,0.124,0.115,0.105,0.094,0.085,0.08,0.081,0.089,0.102,0.116,0.125,0.124,0.117,0.105,0.093,0.083,0.075,0.07,0.064,0.059,0.052,0.047,0.045,0.046,0.049,0.055,0.064,0.08,0.102,0.128,0.152,0.171,0.187,0.202,0.217,0.228,0.233,0.232,0.232,0.234,0.239,0.241,0.237,0.229,0.222,0.216,0.215,0.218,0.227,0.239,0.253,0.265,0.269,0.263,0.243,0.214,0.184,0.16,0.144,0.131,0.115,0.096,0.081,0.079,0.092,0.116,0.145,0.171,0.19,0.201,0.204,0.198,0.183,0.165,0.149,0.139,0.132,0.123,0.111,0.099,0.091,0.089,0.087,0.084,0.077,0.068,0.06,0.054,0.05,0.048,0.048,0.051,0.054,0.056,0.055,0.052,0.047,0.042,0.039,0.036,0.035,0.034,0.035,0.035,0.037,0.04,0.047,0.057,0.074,0.098,0.128,0.161,0.19,0.208,0.216,0.219,0.221,0.221,0.217,0.213,0.213,0.222,0.235,0.244,0.243,0.227,0.199,0.168,0.142,0.128,0.128,0.142,0.16,0.176,0.184,0.181,0.17,0.155,0.137,0.117,0.096,0.076,0.059,0.049,0.043,0.042,0.043,0.047,0.054,0.067,0.087,0.113,0.146,0.183,0.218,0.246,0.26,0.26,0.246,0.226,0.205,0.191,0.189,0.197,0.213,0.233,0.25,0.259,0.256,0.241,0.219,0.198,0.187,0.192,0.209,0.229,0.236,0.224,0.193,0.155,0.123,0.108,0.114,0.141,0.179,0.217,0.243,0.254,0.253,0.243,0.23,0.218,0.209,0.208,0.213,0.22,0.225,0.222,0.209,0.189,0.169,0.158,0.164,0.183,0.209,0.231,0.244,0.248,0.241,0.222,0.195,0.164,0.136,0.116,0.102,0.092,0.087,0.084,0.085,0.092,0.106,0.126,0.15,0.173,0.186,0.186,0.171,0.146,0.118,0.092,0.072,0.06,0.054,0.052,0.054,0.059,0.064,0.069,0.074,0.079,0.085,0.089,0.09,0.087,0.084,0.082,0.087,0.098,0.117,0.14,0.164,0.184,0.198,0.208,0.217,0.227,0.238,0.245,0.247,0.243,0.237,0.227,0.213,0.195,0.173,0.155,0.143,0.137,0.132,0.126,0.115,0.102,0.086,0.07,0.057,0.049,0.046,0.047,0.051,0.056,0.065,0.082,0.111,0.148,0.186,0.219,0.245,0.263,0.278,0.291,0.308,0.336,0.374,0.415,0.441,0.443,0.423,0.395,0.37,0.352,0.339,0.329,0.321,0.314,0.304,0.288,0.265,0.238,0.212,0.189,0.173,0.165,0.166,0.17,0.17,0.159,0.136,0.109,0.087,0.076,0.076,0.083,0.094,0.105,0.12,0.14,0.161,0.18,0.195,0.207,0.216,0.22,0.217,0.216,0.232,0.276,0.339,0.393,0.417,0.404,0.37,0.335,0.311,0.299,0.293,0.287,0.273,0.246,0.207,0.165,0.128,0.104,0.093,0.093,0.101,0.117,0.139,0.164,0.187,0.205,0.214,0.214,0.207,0.197,0.189,0.189,0.198,0.21,0.213,0.199,0.169,0.132,0.103,0.086,0.08,0.082,0.095,0.128,0.183,0.253,0.315,0.35,0.353,0.338,0.32,0.306,0.297,0.289,0.278,0.259,0.23,0.19,0.146,0.108,0.081,0.066,0.058,0.053,0.048,0.044,0.042,0.042,0.046,0.051,0.058,0.067,0.079,0.094,0.112,0.137,0.172,0.21,0.24,0.253,0.252,0.247,0.246,0.249,0.252,0.257,0.272,0.307,0.358,0.408,0.433,0.427,0.397,0.362,0.336,0.324,0.324,0.33,0.338,0.343,0.342,0.334,0.324,0.314,0.303,0.29,0.273,0.256,0.244,0.244,0.253,0.263,0.264,0.252,0.233,0.215,0.209,0.217,0.234,0.252,0.265,0.27,0.267,0.259,0.252,0.247,0.246,0.246,0.252,0.271,0.309,0.362,0.411,0.437,0.436,0.417,0.394,0.377,0.368,0.363,0.357,0.347,0.331,0.311,0.289,0.268,0.248,0.231,0.22,0.221,0.233,0.248,0.258,0.261,0.256,0.247,0.236,0.223,0.211,0.206,0.209,0.219,0.228,0.231,0.226,0.215,0.205,0.199,0.2,0.206,0.217,0.236,0.267,0.311,0.358,0.395,0.412,0.408,0.391,0.37,0.354,0.341,0.327,0.306,0.271,0.222,0.166,0.116,0.081,0.064,0.063,0.072,0.087,0.108,0.136,0.17,0.201,0.22,0.224,0.217,0.205,0.198,0.197,0.203,0.211,0.216,0.211,0.196,0.174,0.152,0.13,0.107,0.082,0.06,0.044,0.038,0.041,0.048,0.055,0.056,0.054,0.051,0.047,0.044,0.041,0.042,0.047,0.056,0.069,0.084,0.099,0.113,0.126,0.134,0.137,0.137,0.137,0.14,0.145,0.149,0.15,0.146,0.14,0.133,0.125,0.116,0.11,0.108,0.111,0.116,0.118,0.116,0.113,0.114,0.123,0.139,0.165,0.206,0.269,0.348,0.418,0.458,0.456,0.428,0.394,0.374,0.371,0.378,0.385,0.387,0.381,0.37,0.357,0.347,0.342,0.345,0.355,0.368,0.379,0.382,0.372,0.348,0.316,0.288,0.274,0.276,0.286,0.294,0.297,0.298,0.305,0.32,0.338,0.348,0.34,0.314,0.279,0.247,0.228,0.231,0.259,0.312,0.377,0.434,0.464,0.458,0.428,0.391,0.362,0.346,0.341,0.341,0.342,0.342,0.344,0.346,0.349,0.349,0.347,0.344,0.343,0.341,0.336,0.323,0.305,0.285,0.27,0.26,0.253,0.245,0.233,0.221,0.22,0.234,0.263,0.292,0.31,0.314,0.312,0.314,0.323,0.334,0.343,0.355,0.375,0.4,0.421,0.429,0.423,0.411,0.401,0.397,0.395,0.393,0.387,0.376,0.361,0.343,0.325,0.307,0.292,0.279,0.269,0.266,0.268,0.272,0.272,0.268,0.262,0.255,0.25,0.247,0.243,0.238,0.235,0.237,0.247,0.26,0.272,0.277,0.275,0.27,0.264,0.259,0.257,0.258,0.269,0.293,0.329,0.369,0.404,0.429,0.443,0.453,0.46,0.466,0.468,0.464,0.454,0.441,0.429,0.418,0.409,0.402,0.399,0.398,0.399,0.4,0.405,0.414,0.427,0.44,0.446,0.445,0.441,0.439,0.442,0.446,0.446,0.438,0.425,0.414,0.409,0.41,0.414,0.418,0.42,0.418,0.402,0.362,0.295,0.209,0.127,0.067,0.034,0.023,0.024,0.031,0.044,0.061,0.079,0.094,0.1,0.1,0.094,0.087,0.077,0.069,0.067,0.085,0.137,0.221,0.319,0.406,0.461,0.483,0.481,0.472,0.466,0.467,0.468,0.461,0.447,0.431,0.423,0.425,0.431,0.433,0.43,0.426,0.425,0.424,0.412,0.382,0.34,0.294,0.257,0.235,0.227,0.233,0.247,0.266,0.285,0.302,0.312,0.311,0.297,0.274,0.249,0.23,0.22,0.22,0.235,0.274,0.337,0.408,0.461,0.478,0.464,0.437,0.416,0.411,0.417,0.426,0.431,0.428,0.424,0.423,0.428,0.433,0.432,0.424,0.413,0.401,0.388,0.368,0.338,0.307,0.283,0.271,0.266,0.26,0.248,0.233,0.224,0.23,0.252,0.28,0.301,0.303,0.291,0.275,0.267,0.271,0.289,0.321,0.364,0.41,0.447,0.465,0.464,0.452,0.439,0.434,0.437,0.443,0.446,0.444,0.439,0.436,0.436,0.436,0.434,0.428,0.421,0.413,0.402,0.384,0.354,0.31,0.258,0.212,0.185,0.18,0.188,0.195,0.195,0.195,0.205,0.228,0.253,0.267,0.264,0.251,0.241,0.241,0.251,0.269,0.298,0.338,0.384,0.425,0.447,0.448,0.436,0.422,0.412,0.41,0.415,0.422,0.427,0.428,0.425,0.42,0.416,0.414,0.416,0.418,0.42,0.418,0.414,0.408,0.403,0.401,0.404,0.409,0.414,0.418,0.424,0.43,0.434,0.435,0.434,0.433,0.436,0.441,0.448,0.453,0.459,0.466,0.477,0.489,0.493,0.473,0.419,0.336,0.245,0.169,0.119,0.094,0.087,0.09,0.098,0.106,0.108,0.103,0.092,0.079,0.069,0.061,0.057,0.055,0.056,0.058,0.064,0.076,0.106,0.164,0.245,0.328,0.379,0.381,0.345,0.299,0.265,0.246,0.233,0.219,0.204,0.19,0.178,0.168,0.166,0.188,0.24,0.306,0.349,0.339,0.277,0.197,0.13,0.092,0.078,0.077,0.084,0.094,0.101,0.101,0.094,0.083,0.072,0.063,0.056,0.054,0.059,0.072,0.09,0.11,0.136,0.176,0.24,0.319,0.379,0.391,0.348,0.277,0.213,0.174,0.155,0.143,0.129,0.114,0.098,0.084,0.08,0.102,0.161,0.25,0.335,0.38,0.372,0.329,0.282,0.251,0.237,0.233,0.232,0.234,0.238,0.243,0.246,0.247,0.242,0.229,0.208,0.185,0.173,0.176,0.189,0.196,0.191,0.184,0.199,0.25,0.325,0.384,0.395,0.359,0.303,0.257,0.235,0.232,0.242,0.258,0.272,0.276,0.273,0.275,0.299,0.354,0.424,0.473,0.473,0.419,0.335,0.253,0.189,0.148,0.126,0.119,0.125,0.14,0.163,0.188,0.211,0.225,0.229,0.22,0.201,0.175,0.149,0.13,0.124,0.125,0.127,0.124,0.117,0.112,0.114,0.123,0.135,0.144,0.147,0.144,0.138,0.133,0.131,0.129,0.128,0.137,0.172,0.246,0.353,0.465,0.543,0.564,0.535,0.485,0.441,0.417,0.409,0.408,0.408,0.405,0.399,0.392,0.388,0.389,0.393,0.398,0.397,0.385,0.361,0.323,0.276,0.231,0.207,0.221,0.278,0.357,0.423,0.448,0.43,0.388,0.344,0.308,0.28,0.262,0.257,0.265,0.28,0.295,0.31,0.337,0.387,0.46,0.53,0.565,0.549,0.5,0.446,0.41,0.395,0.392,0.392,0.389,0.385,0.38,0.377,0.379,0.385,0.393,0.398,0.397,0.381,0.348,0.299,0.243,0.201,0.194,0.235,0.313,0.394,0.44,0.429,0.374,0.305,0.246,0.205,0.179,0.165,0.164,0.175,0.195,0.216,0.247,0.302,0.387,0.486,0.562,0.586,0.555,0.498,0.445,0.413,0.398,0.393,0.389,0.388,0.389,0.39,0.389,0.38,0.362,0.339,0.316,0.294,0.269,0.234,0.188,0.141,0.116,0.14,0.22,0.33,0.412,0.425,0.366,0.281,0.215,0.186,0.184,0.195,0.209,0.223,0.231,0.234,0.246,0.283,0.349,0.422,0.465,0.45,0.383,0.296,0.222,0.171,0.139,0.121,0.117,0.124,0.135,0.137,0.129,0.118,0.113,0.117,0.126,0.132,0.132,0.124,0.111,0.098,0.093,0.115,0.177,0.272,0.363,0.406,0.382,0.317,0.254,0.222,0.22,0.231,0.243,0.253,0.26,0.266,0.276,0.302,0.353,0.427,0.505,0.557,0.567,0.539,0.497,0.464,0.447,0.44,0.435,0.43,0.427,0.429,0.433,0.437,0.438,0.436,0.436,0.437,0.438,0.438,0.436,0.434,0.435,0.446,0.469,0.505,0.544,0.568,0.563,0.533,0.492,0.457,0.434,0.423,0.419,0.416,0.413,0.411,0.414,0.43,0.462,0.508,0.554,0.582,0.58,0.548,0.504,0.464,0.442,0.432,0.43,0.428,0.424,0.417,0.407,0.395,0.383,0.372,0.364,0.36,0.358,0.358,0.358,0.358,0.362,0.375,0.403,0.449,0.506,0.557,0.581,0.568,0.529,0.485,0.456,0.445,0.443,0.443,0.439,0.436,0.437,0.448,0.472,0.506,0.547,0.579,0.587,0.563,0.518,0.471,0.438,0.425,0.425,0.428,0.427,0.422,0.416,0.414,0.417,0.422,0.424,0.421,0.415,0.41,0.408,0.408,0.411,0.417,0.431,0.456,0.493,0.53,0.548,0.532,0.487,0.434,0.391,0.367,0.358,0.36,0.368,0.382,0.4,0.424,0.455,0.498,0.547,0.591,0.611,0.595,0.548,0.491,0.448,0.431,0.436,0.449,0.459,0.462,0.459,0.452,0.446,0.441,0.437,0.432,0.426,0.422,0.424,0.431,0.439,0.447,0.457,0.478,0.516,0.562,0.6,0.61,0.588,0.547,0.504,0.473,0.454,0.444,0.436,0.425,0.412,0.401,0.399,0.414,0.448,0.495,0.543,0.573,0.574,0.552,0.523,0.505,0.503,0.51,0.514,0.51,0.499,0.487,0.48,0.481,0.486,0.495,0.506,0.522,0.547,0.583,0.626,0.664,0.681,0.665,0.624,0.574,0.536,0.517,0.511,0.51,0.505,0.497,0.489,0.485,0.487,0.491,0.496,0.502,0.509,0.519,0.535,0.562,0.594,0.618,0.617,0.587,0.54,0.498,0.478,0.478,0.485,0.488,0.484,0.476,0.472,0.475,0.481,0.484,0.484,0.485,0.496,0.519,0.553,0.585,0.603,0.597,0.568,0.532,0.505,0.495,0.498,0.505,0.509,0.508,0.503,0.496,0.489,0.483,0.476,0.473,0.474,0.484,0.504,0.533,0.565,0.587,0.586,0.555,0.509,0.467,0.448,0.45,0.464,0.474,0.475,0.464,0.447,0.43,0.417,0.409,0.406,0.406,0.413,0.432,0.468,0.516,0.557,0.569,0.543,0.494,0.448,0.424,0.425,0.441,0.459,0.469,0.468,0.461,0.454,0.451,0.451,0.452,0.454,0.46,0.474,0.501,0.536,0.568,0.581,0.564,0.526,0.482,0.453,0.442,0.446,0.452,0.453,0.448,0.441,0.435,0.431,0.428,0.424,0.426,0.437,0.464,0.504,0.552,0.592,0.61,0.595,0.555,0.509,0.479,0.472,0.484,0.499,0.505,0.498,0.486,0.475,0.467,0.462,0.457,0.459,0.47,0.491,0.515,0.526,0.505,0.444,0.352,0.254,0.175,0.126,0.101,0.09,0.086,0.085,0.086,0.089,0.091,0.09,0.086,0.081,0.077,0.078,0.086,0.099,0.115,0.132,0.151,0.175,0.2,0.219,0.225,0.218,0.201,0.181,0.164,0.157,0.161,0.172,0.185,0.192,0.189,0.178,0.161,0.145,0.131,0.121,0.115,0.112,0.108,0.102,0.096,0.089,0.083,0.078,0.075,0.073,0.072,0.072,0.073,0.072,0.07,0.066,0.064,0.065,0.074,0.097,0.133,0.173,0.202,0.212,0.206,0.194,0.19,0.197,0.208,0.215,0.219,0.222,0.227,0.229,0.223,0.21,0.195,0.184,0.174,0.16,0.137,0.112,0.091,0.08,0.077,0.077,0.077,0.076,0.075,0.074,0.073,0.073,0.075,0.077,0.079,0.08,0.081,0.082,0.087,0.097,0.114,0.136,0.163,0.19,0.212,0.226,0.232,0.233,0.235,0.238,0.241,0.243,0.243,0.243,0.242,0.241,0.239,0.239,0.239,0.24,0.239,0.234,0.229,0.227,0.234,0.247,0.262,0.274,0.282,0.286,0.288,0.289,0.291,0.293,0.294,0.295,0.295,0.298,0.307,0.322,0.34,0.354,0.363,0.367,0.372,0.381,0.392,0.403,0.411,0.417,0.421,0.426,0.433,0.44,0.446,0.451,0.454,0.454,0.451,0.442,0.429,0.416,0.405,0.4,0.407,0.432,0.473,0.516,0.545,0.546,0.529,0.507,0.497,0.499,0.507,0.51,0.504,0.494,0.484,0.479,0.477,0.476,0.476,0.477,0.48,0.484,0.486,0.484,0.478,0.471,0.471,0.484,0.511,0.538,0.549,0.535,0.5,0.457,0.413,0.372,0.334,0.307,0.296,0.299,0.309,0.322,0.342,0.378,0.433,0.496,0.546,0.564,0.549,0.52,0.499,0.496,0.506,0.52,0.53,0.535,0.538,0.54,0.542,0.541,0.535,0.526,0.517,0.509,0.501,0.488,0.466,0.435,0.406,0.393,0.409,0.453,0.503,0.532,0.526,0.491,0.44,0.386,0.341,0.311,0.299,0.3,0.307,0.314,0.326,0.354,0.405,0.47,0.523,0.543,0.524,0.487,0.458,0.45,0.458,0.471,0.482,0.489,0.492,0.495,0.498,0.499,0.498,0.498,0.501,0.506,0.505,0.489,0.455,0.416,0.389,0.393,0.428,0.476,0.505,0.494,0.448,0.397,0.37,0.372,0.383,0.387,0.381,0.374,0.375,0.389,0.418,0.46,0.51,0.556,0.583,0.582,0.555,0.518,0.485,0.467,0.463,0.465,0.469,0.472,0.475,0.479,0.487,0.496,0.502,0.505,0.507,0.509,0.508,0.503,0.493,0.482,0.476,0.476,0.479,0.484,0.494,0.509,0.526,0.535,0.533,0.523,0.513,0.508,0.505,0.499,0.487,0.478,0.478,0.493,0.516,0.532,0.52,0.468,0.382,0.287,0.209,0.162,0.141,0.137,0.14,0.146,0.148,0.144,0.134,0.123,0.115,0.111,0.108,0.105,0.101,0.097,0.093,0.09,0.095,0.118,0.169,0.242,0.309,0.336,0.311,0.251,0.189,0.145,0.12,0.104,0.097,0.1,0.117,0.144,0.179,0.225,0.287,0.356,0.409,0.417,0.374,0.3,0.224,0.166,0.131,0.117,0.118,0.127,0.135,0.134,0.124,0.109,0.095,0.086,0.081,0.079,0.077,0.075,0.073,0.072,0.077,0.098,0.147,0.222,0.3,0.346,0.338,0.291,0.238,0.205,0.191,0.184,0.171,0.154,0.137,0.127,0.128,0.15,0.198,0.27,0.34,0.374,0.351,0.282,0.201,0.137,0.102,0.089,0.091,0.101,0.113,0.119,0.117,0.11,0.111,0.124,0.148,0.172,0.188,0.195,0.2,0.205,0.211,0.221,0.246,0.294,0.356,0.4,0.398,0.346,0.269,0.198,0.149,0.118,0.095,0.079,0.068,0.063,0.065,0.083,0.127,0.198,0.279,0.338,0.348,0.312,0.253,0.199,0.163,0.145,0.141,0.146,0.156,0.163,0.157,0.139,0.117,0.102,0.095,0.092,0.091,0.089,0.087,0.086,0.085,0.082,0.077,0.074,0.073,0.072,0.074,0.082,0.095,0.112,0.122,0.121,0.108,0.093,0.083,0.083,0.096,0.125,0.179,0.262,0.368,0.474,0.557,0.602,0.612,0.602,0.588,0.576,0.569,0.565,0.563,0.565,0.57,0.579,0.59,0.601,0.61,0.617,0.619,0.618,0.615,0.612,0.612,0.615,0.621,0.63,0.641,0.652,0.661,0.667,0.668,0.667,0.663,0.658,0.653,0.648,0.645,0.643,0.647,0.655,0.666,0.675,0.678,0.672,0.662,0.651,0.644,0.641,0.641,0.641,0.641,0.64,0.639,0.639,0.639,0.638,0.636,0.634,0.631,0.629,0.626,0.622,0.617,0.611,0.604,0.597,0.593,0.59,0.586,0.572,0.539,0.485,0.42,0.357,0.309,0.275,0.249,0.223,0.196,0.169,0.146,0.137,0.153,0.21,0.309,0.432,0.549,0.633,0.677,0.691,0.694,0.696,0.697,0.695,0.689,0.682,0.679,0.681,0.685,0.689,0.689,0.684,0.677,0.671,0.664,0.657,0.649,0.638,0.623,0.606,0.592,0.583,0.577,0.572,0.562,0.546,0.525,0.497,0.46,0.413,0.355,0.291,0.227,0.174,0.15,0.172,0.243,0.335,0.397,0.39,0.316,0.213,0.126,0.077,0.06,0.06,0.065,0.073,0.08,0.085,0.087,0.086,0.079,0.069,0.058,0.053,0.06,0.078,0.103,0.121,0.124,0.112,0.094,0.08,0.074,0.071,0.067,0.059,0.049,0.041,0.035,0.032,0.032,0.035,0.042,0.054,0.068,0.08,0.085,0.083,0.073,0.059,0.044,0.03,0.019,0.013,0.019,0.053,0.137,0.281,0.467,0.652,0.786,0.848,0.848,0.815,0.776,0.742,0.716,0.694,0.674,0.658,0.649,0.647,0.651,0.66,0.671,0.683,0.697,0.717,0.75,0.793,0.834,0.857,0.847,0.807,0.751,0.699,0.667,0.656,0.661,0.671,0.682,0.69,0.695,0.698,0.699,0.698,0.699,0.705,0.723,0.757,0.805,0.853,0.88,0.874,0.836,0.782,0.731,0.697,0.68,0.673,0.671,0.67,0.672,0.674,0.673,0.665,0.651,0.637,0.632,0.648,0.688,0.747,0.807,0.848,0.855,0.826,0.775,0.726,0.694,0.684,0.686,0.688,0.685,0.68,0.679,0.683,0.685,0.682,0.673,0.665,0.668,0.692,0.736,0.78,0.795,0.756,0.667,0.555,0.457,0.394,0.366,0.358,0.357,0.354,0.351,0.348,0.346,0.344,0.339,0.331,0.322,0.315,0.309,0.304,0.299,0.293,0.286,0.278,0.269,0.261,0.254,0.246,0.238,0.23,0.221,0.212,0.204,0.198,0.195,0.194,0.192,0.187,0.175,0.152,0.119,0.081,0.047,0.022,0.008,0.002,0]