[0,0,0.001,0.001,0.002,0.004,0.006,0.009,0.013,0.018,0.023,0.027,0.03,0.033,0.034,0.035,0.035,0.035,0.037,0.041,0.047,0.055,0.065,0.078,0.095,0.113,0.126,0.131,0.128,0.121,0.117,0.116,0.12,0.126,0.131,0.134,0.139,0.149,0.164,0.181,0.194,0.201,0.205,0.212,0.226,0.24,0.242,0.225,0.194,0.16,0.136,0.126,0.128,0.14,0.155,0.168,0.175,0.174,0.167,0.165,0.174,0.193,0.214,0.227,0.227,0.215,0.199,0.184,0.172,0.162,0.149,0.132,0.113,0.093,0.077,0.068,0.068,0.076,0.087,0.097,0.103,0.104,0.102,0.101,0.106,0.115,0.13,0.147,0.167,0.188,0.208,0.226,0.242,0.257,0.27,0.279,0.279,0.273,0.264,0.259,0.263,0.274,0.282,0.279,0.262,0.238,0.218,0.21,0.212,0.217,0.22,0.218,0.212,0.201,0.184,0.163,0.141,0.125,0.117,0.116,0.121,0.128,0.135,0.14,0.144,0.145,0.144,0.141,0.137,0.131,0.126,0.12,0.117,0.118,0.127,0.146,0.175,0.206,0.23,0.24,0.235,0.223,0.213,0.21,0.212,0.214,0.213,0.211,0.209,0.21,0.21,0.206,0.197,0.186,0.178,0.172,0.165,0.156,0.147,0.145,0.156,0.178,0.204,0.224,0.235,0.239,0.244,0.252,0.263,0.27,0.272,0.269,0.265,0.259,0.253,0.246,0.243,0.247,0.257,0.269,0.277,0.276,0.264,0.246,0.229,0.219,0.216,0.218,0.219,0.22,0.22,0.218,0.211,0.197,0.179,0.161,0.153,0.16,0.181,0.204,0.217,0.213,0.195,0.17,0.147,0.13,0.118,0.107,0.096,0.085,0.078,0.074,0.074,0.075,0.075,0.077,0.08,0.087,0.098,0.11,0.118,0.119,0.111,0.092,0.069,0.049,0.037,0.038,0.047,0.061,0.077,0.096,0.118,0.139,0.152,0.149,0.128,0.097,0.067,0.055,0.077,0.143,0.247,0.358,0.44,0.472,0.464,0.439,0.417,0.401,0.386,0.37,0.354,0.341,0.325,0.305,0.285,0.273,0.273,0.284,0.298,0.308,0.311,0.312,0.316,0.322,0.328,0.329,0.323,0.316,0.311,0.311,0.318,0.33,0.342,0.35,0.349,0.341,0.33,0.322,0.321,0.325,0.331,0.34,0.359,0.388,0.421,0.442,0.438,0.408,0.369,0.337,0.319,0.311,0.31,0.311,0.31,0.302,0.282,0.253,0.221,0.198,0.186,0.183,0.186,0.191,0.2,0.216,0.243,0.278,0.314,0.343,0.36,0.365,0.361,0.351,0.341,0.338,0.345,0.359,0.375,0.385,0.383,0.369,0.348,0.328,0.316,0.321,0.348,0.389,0.433,0.46,0.462,0.442,0.415,0.393,0.381,0.377,0.377,0.379,0.382,0.382,0.376,0.364,0.35,0.336,0.328,0.323,0.321,0.318,0.316,0.318,0.324,0.332,0.339,0.342,0.342,0.341,0.338,0.333,0.329,0.327,0.328,0.333,0.341,0.348,0.354,0.359,0.362,0.366,0.373,0.384,0.399,0.417,0.43,0.43,0.416,0.393,0.371,0.356,0.349,0.346,0.343,0.34,0.332,0.319,0.299,0.275,0.252,0.232,0.22,0.213,0.209,0.207,0.204,0.201,0.199,0.198,0.199,0.202,0.206,0.211,0.219,0.232,0.252,0.277,0.299,0.311,0.306,0.286,0.259,0.234,0.216,0.208,0.215,0.246,0.301,0.368,0.416,0.426,0.395,0.349,0.31,0.288,0.282,0.282,0.287,0.292,0.296,0.295,0.291,0.287,0.285,0.284,0.281,0.275,0.271,0.272,0.285,0.309,0.339,0.362,0.371,0.368,0.362,0.357,0.353,0.348,0.347,0.353,0.367,0.376,0.371,0.348,0.318,0.289,0.269,0.256,0.258,0.284,0.331,0.383,0.412,0.402,0.361,0.313,0.277,0.259,0.256,0.263,0.275,0.286,0.289,0.278,0.254,0.231,0.218,0.223,0.241,0.263,0.28,0.291,0.299,0.312,0.331,0.356,0.384,0.409,0.424,0.422,0.403,0.374,0.351,0.345,0.355,0.377,0.401,0.418,0.419,0.404,0.379,0.361,0.362,0.385,0.419,0.445,0.451,0.434,0.405,0.373,0.346,0.328,0.322,0.332,0.353,0.373,0.38,0.366,0.335,0.296,0.259,0.234,0.226,0.237,0.261,0.289,0.315,0.332,0.339,0.337,0.331,0.325,0.323,0.326,0.334,0.346,0.362,0.377,0.386,0.383,0.364,0.337,0.308,0.286,0.276,0.283,0.311,0.356,0.404,0.433,0.43,0.398,0.356,0.32,0.295,0.281,0.28,0.289,0.3,0.301,0.285,0.252,0.217,0.194,0.191,0.204,0.223,0.24,0.252,0.267,0.291,0.328,0.374,0.42,0.456,0.477,0.483,0.476,0.461,0.442,0.426,0.417,0.419,0.431,0.447,0.461,0.466,0.461,0.454,0.453,0.46,0.47,0.472,0.463,0.449,0.44,0.443,0.457,0.475,0.488,0.488,0.475,0.453,0.429,0.412,0.402,0.396,0.388,0.374,0.36,0.354,0.363,0.388,0.418,0.441,0.452,0.452,0.452,0.459,0.469,0.473,0.467,0.456,0.443,0.43,0.415,0.4,0.391,0.393,0.403,0.414,0.419,0.42,0.423,0.434,0.448,0.454,0.443,0.418,0.388,0.361,0.342,0.331,0.326,0.328,0.334,0.34,0.343,0.339,0.33,0.321,0.317,0.318,0.322,0.326,0.327,0.328,0.334,0.349,0.376,0.409,0.439,0.458,0.462,0.453,0.436,0.418,0.407,0.408,0.419,0.434,0.445,0.44,0.419,0.39,0.372,0.374,0.399,0.434,0.464,0.475,0.468,0.452,0.437,0.429,0.427,0.425,0.419,0.41,0.4,0.39,0.382,0.377,0.375,0.375,0.377,0.381,0.387,0.4,0.42,0.446,0.47,0.485,0.488,0.485,0.484,0.485,0.487,0.484,0.476,0.463,0.444,0.422,0.401,0.39,0.394,0.409,0.427,0.444,0.46,0.476,0.492,0.504,0.505,0.491,0.466,0.445,0.434,0.434,0.435,0.429,0.414,0.396,0.378,0.361,0.344,0.324,0.303,0.284,0.27,0.261,0.26,0.269,0.284,0.306,0.334,0.37,0.409,0.446,0.472,0.482,0.475,0.458,0.436,0.42,0.416,0.427,0.448,0.47,0.482,0.476,0.454,0.426,0.4,0.376,0.352,0.326,0.297,0.268,0.244,0.23,0.225,0.226,0.227,0.224,0.217,0.212,0.211,0.212,0.211,0.208,0.206,0.207,0.211,0.214,0.213,0.209,0.208,0.212,0.217,0.22,0.221,0.221,0.22,0.22,0.217,0.211,0.203,0.193,0.185,0.18,0.178,0.179,0.18,0.178,0.171,0.16,0.147,0.134,0.123,0.115,0.107,0.096,0.084,0.071,0.058,0.048,0.041,0.038,0.038,0.044,0.054,0.07,0.09,0.112,0.133,0.151,0.164,0.172,0.174,0.168,0.156,0.138,0.114,0.087,0.061,0.041,0.032,0.036,0.049,0.062,0.068,0.063,0.056,0.056,0.068,0.088,0.106,0.115,0.117,0.126,0.161,0.231,0.329,0.425,0.49,0.513,0.507,0.491,0.48,0.476,0.476,0.474,0.468,0.453,0.434,0.413,0.397,0.387,0.384,0.384,0.388,0.4,0.424,0.457,0.491,0.511,0.515,0.514,0.523,0.545,0.569,0.579,0.569,0.546,0.514,0.479,0.445,0.418,0.4,0.39,0.383,0.376,0.371,0.376,0.4,0.439,0.481,0.505,0.501,0.474,0.443,0.421,0.411,0.41,0.414,0.422,0.429,0.436,0.44,0.442,0.443,0.44,0.435,0.431,0.432,0.438,0.449,0.464,0.485,0.51,0.538,0.563,0.577,0.578,0.564,0.541,0.518,0.5,0.488,0.485,0.488,0.497,0.505,0.505,0.497,0.487,0.485,0.497,0.519,0.544,0.562,0.563,0.549,0.53,0.516,0.512,0.516,0.524,0.53,0.532,0.528,0.52,0.508,0.494,0.481,0.47,0.462,0.459,0.463,0.476,0.5,0.528,0.552,0.567,0.577,0.588,0.602,0.611,0.611,0.601,0.584,0.566,0.546,0.526,0.505,0.486,0.471,0.465,0.465,0.47,0.478,0.493,0.513,0.532,0.541,0.536,0.521,0.506,0.495,0.489,0.482,0.476,0.47,0.463,0.454,0.442,0.43,0.421,0.417,0.415,0.415,0.415,0.415,0.416,0.422,0.439,0.47,0.513,0.555,0.581,0.581,0.556,0.516,0.476,0.449,0.443,0.455,0.478,0.5,0.509,0.499,0.476,0.451,0.437,0.442,0.462,0.484,0.492,0.476,0.44,0.398,0.363,0.343,0.338,0.343,0.353,0.358,0.356,0.346,0.334,0.325,0.32,0.316,0.31,0.306,0.312,0.332,0.365,0.395,0.404,0.385,0.345,0.306,0.283,0.279,0.29,0.31,0.334,0.357,0.37,0.37,0.358,0.341,0.323,0.31,0.304,0.311,0.335,0.372,0.412,0.437,0.433,0.401,0.355,0.316,0.295,0.292,0.299,0.313,0.33,0.348,0.358,0.357,0.346,0.333,0.32,0.311,0.303,0.296,0.29,0.286,0.291,0.312,0.353,0.409,0.462,0.494,0.496,0.474,0.439,0.406,0.388,0.386,0.399,0.42,0.439,0.447,0.441,0.424,0.406,0.398,0.407,0.432,0.463,0.48,0.47,0.433,0.386,0.348,0.33,0.327,0.333,0.342,0.354,0.366,0.373,0.373,0.368,0.363,0.362,0.366,0.374,0.39,0.414,0.445,0.468,0.469,0.444,0.405,0.37,0.35,0.347,0.354,0.362,0.365,0.356,0.328,0.282,0.228,0.185,0.165,0.166,0.18,0.203,0.237,0.285,0.34,0.386,0.405,0.394,0.365,0.335,0.318,0.316,0.327,0.344,0.359,0.366,0.36,0.344,0.321,0.3,0.283,0.272,0.27,0.276,0.288,0.302,0.316,0.337,0.373,0.42,0.466,0.496,0.497,0.471,0.43,0.394,0.378,0.387,0.414,0.445,0.465,0.464,0.439,0.4,0.363,0.342,0.344,0.365,0.391,0.407,0.401,0.378,0.35,0.329,0.32,0.322,0.334,0.353,0.373,0.385,0.385,0.375,0.364,0.358,0.36,0.369,0.384,0.406,0.434,0.462,0.479,0.478,0.46,0.436,0.415,0.404,0.402,0.411,0.428,0.447,0.457,0.451,0.432,0.41,0.392,0.382,0.379,0.381,0.384,0.391,0.405,0.426,0.443,0.445,0.426,0.393,0.36,0.337,0.328,0.333,0.348,0.368,0.386,0.395,0.397,0.396,0.401,0.413,0.427,0.434,0.43,0.417,0.404,0.402,0.416,0.445,0.48,0.508,0.522,0.516,0.495,0.467,0.441,0.428,0.431,0.446,0.468,0.485,0.487,0.468,0.435,0.402,0.387,0.396,0.424,0.457,0.478,0.479,0.465,0.446,0.432,0.425,0.425,0.428,0.434,0.441,0.448,0.454,0.459,0.463,0.465,0.462,0.453,0.441,0.434,0.438,0.455,0.474,0.481,0.468,0.443,0.417,0.398,0.387,0.383,0.387,0.401,0.423,0.441,0.444,0.431,0.412,0.401,0.407,0.426,0.447,0.467,0.486,0.501,0.508,0.501,0.479,0.451,0.424,0.405,0.399,0.404,0.416,0.428,0.433,0.43,0.423,0.416,0.414,0.415,0.416,0.417,0.416,0.416,0.419,0.431,0.455,0.491,0.533,0.566,0.582,0.575,0.55,0.518,0.492,0.481,0.488,0.511,0.541,0.565,0.574,0.568,0.557,0.548,0.537,0.514,0.474,0.418,0.351,0.285,0.228,0.184,0.154,0.134,0.121,0.111,0.102,0.092,0.08,0.069,0.059,0.055,0.057,0.064,0.071,0.076,0.079,0.082,0.085,0.09,0.093,0.094,0.091,0.089,0.088,0.087,0.083,0.074,0.061,0.047,0.036,0.029,0.027,0.029,0.035,0.041,0.044,0.044,0.044,0.047,0.056,0.064,0.069,0.067,0.061,0.053,0.045,0.039,0.035,0.032,0.029,0.027,0.026,0.025,0.026,0.028,0.032,0.039,0.049,0.064,0.082,0.103,0.121,0.135,0.141,0.142,0.139,0.135,0.13,0.128,0.131,0.139,0.151,0.161,0.167,0.168,0.168,0.172,0.18,0.198,0.23,0.285,0.358,0.436,0.499,0.536,0.549,0.548,0.543,0.537,0.532,0.53,0.528,0.523,0.514,0.504,0.496,0.496,0.502,0.51,0.518,0.528,0.541,0.558,0.578,0.593,0.6,0.604,0.61,0.616,0.62,0.617,0.608,0.598,0.587,0.574,0.557,0.543,0.54,0.548,0.564,0.577,0.585,0.59,0.595,0.6,0.601,0.591,0.568,0.538,0.513,0.498,0.492,0.491,0.491,0.49,0.486,0.478,0.472,0.474,0.489,0.511,0.531,0.544,0.548,0.548,0.545,0.547,0.556,0.575,0.598,0.62,0.635,0.638,0.627,0.602,0.569,0.539,0.523,0.525,0.541,0.561,0.572,0.568,0.551,0.534,0.527,0.534,0.55,0.566,0.571,0.562,0.543,0.523,0.51,0.506,0.509,0.516,0.524,0.53,0.531,0.528,0.525,0.527,0.531,0.537,0.543,0.551,0.562,0.577,0.592,0.604,0.607,0.606,0.606,0.61,0.613,0.612,0.606,0.597,0.589,0.579,0.569,0.563,0.568,0.581,0.597,0.608,0.615,0.62,0.627,0.633,0.63,0.609,0.573,0.531,0.496,0.473,0.462,0.455,0.45,0.443,0.435,0.424,0.411,0.403,0.403,0.415,0.432,0.447,0.457,0.462,0.469,0.482,0.503,0.532,0.563,0.592,0.613,0.622,0.617,0.599,0.575,0.553,0.541,0.542,0.555,0.571,0.582,0.581,0.568,0.554,0.547,0.55,0.558,0.562,0.553,0.529,0.495,0.463,0.441,0.431,0.434,0.449,0.474,0.498,0.511,0.506,0.483,0.449,0.416,0.394,0.387,0.397,0.422,0.46,0.502,0.535,0.546,0.532,0.504,0.474,0.452,0.445,0.451,0.47,0.492,0.507,0.502,0.479,0.447,0.419,0.403,0.395,0.394,0.4,0.423,0.466,0.524,0.575,0.599,0.587,0.551,0.511,0.483,0.47,0.47,0.483,0.504,0.527,0.541,0.545,0.54,0.537,0.54,0.547,0.55,0.548,0.541,0.532,0.523,0.515,0.506,0.5,0.496,0.496,0.498,0.502,0.509,0.519,0.529,0.533,0.53,0.52,0.509,0.498,0.49,0.486,0.49,0.505,0.535,0.574,0.606,0.615,0.598,0.563,0.528,0.505,0.498,0.504,0.519,0.537,0.549,0.548,0.538,0.524,0.516,0.519,0.531,0.549,0.571,0.599,0.632,0.66,0.669,0.651,0.612,0.571,0.542,0.532,0.535,0.547,0.562,0.573,0.576,0.569,0.558,0.549,0.549,0.56,0.575,0.59,0.603,0.616,0.632,0.642,0.636,0.61,0.57,0.535,0.514,0.51,0.516,0.524,0.529,0.525,0.511,0.491,0.474,0.469,0.476,0.488,0.497,0.497,0.49,0.484,0.484,0.492,0.5,0.503,0.5,0.498,0.501,0.506,0.512,0.517,0.522,0.528,0.53,0.526,0.519,0.511,0.504,0.498,0.495,0.496,0.504,0.511,0.503,0.465,0.396,0.312,0.235,0.183,0.155,0.143,0.137,0.13,0.119,0.106,0.09,0.073,0.057,0.044,0.034,0.028,0.025,0.025,0.027,0.033,0.04,0.046,0.05,0.054,0.062,0.075,0.092,0.108,0.117,0.118,0.113,0.103,0.089,0.071,0.05,0.033,0.021,0.015,0.016,0.022,0.033,0.049,0.067,0.084,0.1,0.113,0.125,0.136,0.143,0.143,0.139,0.134,0.131,0.128,0.12,0.109,0.097,0.091,0.093,0.101,0.112,0.123,0.132,0.138,0.142,0.145,0.148,0.153,0.157,0.16,0.162,0.163,0.165,0.168,0.171,0.176,0.18,0.183,0.185,0.189,0.201,0.235,0.3,0.39,0.482,0.546,0.565,0.542,0.5,0.462,0.44,0.434,0.44,0.448,0.45,0.434,0.397,0.347,0.301,0.274,0.268,0.272,0.28,0.298,0.343,0.419,0.505,0.569,0.587,0.567,0.53,0.495,0.469,0.451,0.437,0.419,0.389,0.348,0.302,0.266,0.247,0.248,0.262,0.282,0.309,0.352,0.415,0.486,0.539,0.552,0.525,0.479,0.434,0.404,0.386,0.372,0.355,0.327,0.283,0.229,0.177,0.145,0.142,0.165,0.2,0.235,0.262,0.282,0.296,0.308,0.32,0.333,0.349,0.368,0.386,0.4,0.409,0.414,0.419,0.425,0.429,0.432,0.436,0.441,0.447,0.449,0.451,0.464,0.496,0.546,0.598,0.632,0.632,0.599,0.548,0.495,0.457,0.441,0.448,0.467,0.482,0.476,0.445,0.396,0.342,0.297,0.267,0.26,0.285,0.344,0.426,0.51,0.567,0.579,0.547,0.495,0.45,0.426,0.422,0.427,0.437,0.453,0.471,0.484,0.481,0.461,0.438,0.424,0.429,0.45,0.482,0.519,0.558,0.589,0.598,0.58,0.542,0.504,0.48,0.476,0.485,0.494,0.498,0.494,0.484,0.473,0.466,0.467,0.474,0.485,0.497,0.511,0.53,0.557,0.584,0.601,0.6,0.586,0.574,0.579,0.594,0.606,0.603,0.59,0.584,0.596,0.623,0.654,0.674,0.68,0.675,0.666,0.659,0.657,0.656,0.65,0.633,0.607,0.58,0.563,0.563,0.579,0.603,0.624,0.635,0.631,0.618,0.602,0.592,0.593,0.599,0.605,0.605,0.604,0.609,0.625,0.647,0.666,0.673,0.668,0.658,0.652,0.651,0.652,0.648,0.641,0.631,0.62,0.606,0.593,0.587,0.594,0.611,0.63,0.648,0.664,0.681,0.697,0.706,0.702,0.681,0.648,0.612,0.581,0.559,0.543,0.533,0.529,0.534,0.541,0.544,0.543,0.54,0.54,0.544,0.549,0.555,0.561,0.57,0.582,0.599,0.619,0.641,0.658,0.667,0.665,0.656,0.643,0.629,0.622,0.626,0.641,0.664,0.685,0.692,0.678,0.647,0.612,0.591,0.593,0.616,0.644,0.66,0.656,0.636,0.614,0.6,0.598,0.603,0.609,0.612,0.61,0.603,0.594,0.589,0.591,0.598,0.606,0.611,0.616,0.627,0.644,0.662,0.673,0.672,0.663,0.653,0.646,0.646,0.646,0.642,0.636,0.629,0.621,0.611,0.601,0.596,0.603,0.618,0.637,0.653,0.664,0.672,0.675,0.671,0.657,0.635,0.609,0.59,0.58,0.579,0.579,0.578,0.574,0.564,0.547,0.524,0.5,0.485,0.482,0.492,0.508,0.524,0.536,0.544,0.555,0.572,0.597,0.628,0.658,0.682,0.694,0.691,0.678,0.66,0.644,0.636,0.636,0.641,0.646,0.644,0.631,0.608,0.584,0.561,0.536,0.499,0.446,0.384,0.325,0.28,0.254,0.244,0.243,0.243,0.24,0.234,0.228,0.227,0.228,0.226,0.221,0.216,0.213,0.214,0.214,0.211,0.205,0.201,0.199,0.199,0.197,0.192,0.188,0.187,0.188,0.187,0.183,0.176,0.169,0.164,0.16,0.156,0.152,0.147,0.142,0.136,0.129,0.12,0.11,0.099,0.087,0.075,0.062,0.05,0.04,0.033,0.029,0.026,0.027,0.031,0.04,0.054,0.071,0.089,0.106,0.121,0.132,0.139,0.143,0.142,0.137,0.127,0.111,0.09,0.066,0.044,0.031,0.03,0.039,0.051,0.06,0.063,0.063,0.064,0.072,0.085,0.097,0.105,0.11,0.125,0.169,0.258,0.386,0.518,0.618,0.67,0.686,0.689,0.695,0.706,0.715,0.712,0.687,0.635,0.562,0.487,0.429,0.395,0.38,0.373,0.375,0.393,0.438,0.507,0.582,0.637,0.664,0.674,0.683,0.695,0.706,0.709,0.704,0.689,0.656,0.599,0.527,0.456,0.403,0.372,0.356,0.348,0.353,0.382,0.441,0.52,0.592,0.634,0.64,0.623,0.602,0.591,0.593,0.606,0.623,0.635,0.634,0.623,0.61,0.608,0.616,0.63,0.643,0.651,0.654,0.655,0.659,0.671,0.696,0.731,0.768,0.793,0.798,0.781,0.749,0.716,0.695,0.694,0.707,0.725,0.735,0.724,0.692,0.65,0.616,0.608,0.63,0.677,0.735,0.787,0.821,0.834,0.831,0.818,0.8,0.778,0.748,0.702,0.637,0.556,0.476,0.414,0.374,0.352,0.341,0.338,0.348,0.383,0.45,0.544,0.643,0.724,0.779,0.815,0.84,0.859,0.873,0.875,0.854,0.797,0.701,0.587,0.482,0.41,0.372,0.356,0.351,0.356,0.379,0.431,0.509,0.593,0.656,0.683,0.684,0.679,0.682,0.692,0.699,0.689,0.647,0.565,0.45,0.325,0.22,0.154,0.122,0.11,0.103,0.098,0.095,0.097,0.103,0.11,0.115,0.117,0.119,0.121,0.124,0.131,0.144,0.168,0.206,0.255,0.306,0.349,0.376,0.387,0.389,0.386,0.379,0.358,0.316,0.25,0.17,0.096,0.043,0.014,0.003,0,0]