[0,0,0,0,0,0,0.001,0.001,0.003,0.004,0.007,0.01,0.014,0.018,0.023,0.029,0.037,0.045,0.054,0.062,0.068,0.073,0.075,0.078,0.079,0.079,0.079,0.082,0.091,0.105,0.123,0.142,0.162,0.181,0.2,0.217,0.231,0.243,0.25,0.256,0.259,0.262,0.26,0.254,0.243,0.229,0.216,0.207,0.203,0.201,0.197,0.193,0.189,0.189,0.194,0.199,0.204,0.205,0.205,0.203,0.202,0.201,0.2,0.199,0.197,0.196,0.197,0.201,0.207,0.214,0.219,0.223,0.226,0.228,0.231,0.233,0.237,0.246,0.269,0.315,0.389,0.481,0.567,0.625,0.649,0.645,0.63,0.612,0.591,0.558,0.507,0.438,0.365,0.305,0.271,0.265,0.284,0.332,0.405,0.49,0.558,0.585,0.568,0.53,0.499,0.487,0.486,0.475,0.441,0.385,0.322,0.277,0.263,0.281,0.323,0.38,0.449,0.518,0.569,0.588,0.574,0.543,0.512,0.491,0.477,0.458,0.427,0.384,0.342,0.31,0.291,0.283,0.281,0.284,0.288,0.29,0.288,0.285,0.284,0.283,0.277,0.265,0.25,0.234,0.219,0.206,0.193,0.183,0.177,0.178,0.196,0.238,0.306,0.381,0.437,0.456,0.44,0.408,0.38,0.364,0.356,0.347,0.33,0.308,0.288,0.28,0.288,0.309,0.34,0.378,0.417,0.444,0.449,0.428,0.392,0.362,0.352,0.361,0.372,0.364,0.323,0.255,0.178,0.112,0.069,0.053,0.068,0.121,0.205,0.3,0.376,0.412,0.414,0.402,0.395,0.399,0.404,0.401,0.385,0.357,0.326,0.301,0.284,0.276,0.277,0.282,0.287,0.29,0.29,0.288,0.287,0.289,0.296,0.31,0.326,0.336,0.334,0.318,0.293,0.267,0.248,0.245,0.267,0.317,0.383,0.443,0.475,0.469,0.436,0.4,0.38,0.379,0.385,0.376,0.341,0.287,0.239,0.218,0.229,0.26,0.303,0.353,0.407,0.454,0.476,0.464,0.431,0.399,0.385,0.391,0.406,0.414,0.405,0.381,0.353,0.335,0.332,0.346,0.374,0.414,0.465,0.512,0.539,0.532,0.496,0.451,0.416,0.398,0.387,0.363,0.315,0.247,0.178,0.127,0.102,0.103,0.131,0.187,0.266,0.345,0.399,0.414,0.401,0.381,0.374,0.381,0.394,0.403,0.403,0.399,0.394,0.397,0.406,0.421,0.439,0.462,0.489,0.512,0.52,0.508,0.479,0.447,0.423,0.409,0.4,0.387,0.366,0.341,0.319,0.307,0.306,0.315,0.333,0.363,0.4,0.435,0.452,0.443,0.417,0.388,0.37,0.363,0.359,0.348,0.324,0.293,0.266,0.253,0.254,0.269,0.299,0.344,0.399,0.446,0.466,0.454,0.422,0.392,0.376,0.373,0.373,0.365,0.346,0.32,0.294,0.274,0.263,0.264,0.283,0.321,0.367,0.4,0.401,0.363,0.304,0.249,0.219,0.221,0.245,0.276,0.296,0.3,0.293,0.284,0.282,0.287,0.306,0.339,0.385,0.428,0.449,0.443,0.419,0.396,0.385,0.386,0.389,0.382,0.357,0.315,0.264,0.215,0.18,0.169,0.192,0.251,0.329,0.399,0.435,0.43,0.403,0.378,0.369,0.374,0.383,0.381,0.362,0.328,0.291,0.266,0.256,0.262,0.284,0.323,0.37,0.407,0.414,0.391,0.357,0.334,0.331,0.34,0.344,0.329,0.295,0.253,0.22,0.208,0.216,0.238,0.272,0.318,0.372,0.418,0.444,0.453,0.46,0.468,0.471,0.462,0.444,0.427,0.419,0.415,0.413,0.413,0.417,0.428,0.442,0.455,0.463,0.462,0.452,0.439,0.429,0.428,0.432,0.436,0.436,0.431,0.425,0.419,0.414,0.41,0.409,0.413,0.425,0.443,0.461,0.468,0.46,0.437,0.412,0.391,0.381,0.379,0.381,0.383,0.381,0.375,0.369,0.367,0.371,0.383,0.403,0.43,0.456,0.466,0.452,0.419,0.383,0.361,0.357,0.364,0.373,0.375,0.368,0.356,0.347,0.346,0.353,0.367,0.387,0.411,0.431,0.44,0.432,0.412,0.391,0.378,0.373,0.373,0.373,0.374,0.375,0.377,0.377,0.377,0.378,0.384,0.4,0.423,0.445,0.453,0.442,0.417,0.391,0.375,0.374,0.382,0.39,0.392,0.386,0.375,0.365,0.362,0.368,0.384,0.408,0.435,0.455,0.458,0.44,0.409,0.38,0.362,0.357,0.362,0.369,0.373,0.37,0.362,0.352,0.344,0.341,0.349,0.371,0.403,0.435,0.453,0.45,0.431,0.405,0.382,0.369,0.369,0.38,0.397,0.412,0.419,0.415,0.401,0.385,0.381,0.398,0.429,0.457,0.468,0.464,0.457,0.457,0.46,0.456,0.446,0.441,0.452,0.476,0.496,0.498,0.475,0.439,0.41,0.403,0.416,0.435,0.442,0.429,0.4,0.368,0.346,0.343,0.352,0.364,0.367,0.361,0.353,0.352,0.362,0.38,0.402,0.428,0.452,0.467,0.463,0.445,0.423,0.409,0.407,0.411,0.412,0.405,0.391,0.379,0.379,0.391,0.41,0.425,0.431,0.43,0.425,0.417,0.406,0.395,0.388,0.387,0.39,0.397,0.403,0.408,0.411,0.412,0.412,0.413,0.414,0.412,0.406,0.399,0.393,0.39,0.391,0.394,0.4,0.405,0.41,0.418,0.435,0.462,0.49,0.51,0.513,0.504,0.493,0.495,0.521,0.565,0.608,0.633,0.633,0.613,0.587,0.563,0.544,0.525,0.502,0.471,0.434,0.395,0.362,0.345,0.342,0.347,0.352,0.353,0.353,0.357,0.375,0.411,0.455,0.489,0.5,0.487,0.466,0.457,0.465,0.485,0.498,0.495,0.478,0.465,0.468,0.488,0.513,0.527,0.524,0.511,0.497,0.485,0.473,0.452,0.419,0.377,0.336,0.306,0.292,0.287,0.287,0.289,0.292,0.294,0.293,0.293,0.309,0.349,0.405,0.45,0.465,0.445,0.41,0.376,0.354,0.342,0.338,0.341,0.352,0.374,0.407,0.448,0.484,0.501,0.495,0.478,0.464,0.461,0.466,0.468,0.456,0.427,0.388,0.351,0.325,0.311,0.304,0.299,0.295,0.294,0.299,0.319,0.357,0.406,0.449,0.469,0.464,0.449,0.446,0.465,0.499,0.526,0.532,0.521,0.511,0.516,0.537,0.562,0.574,0.573,0.567,0.568,0.57,0.567,0.545,0.504,0.446,0.385,0.337,0.314,0.322,0.351,0.391,0.433,0.476,0.518,0.554,0.578,0.589,0.589,0.582,0.571,0.558,0.547,0.541,0.543,0.548,0.549,0.544,0.543,0.557,0.583,0.607,0.611,0.59,0.555,0.521,0.497,0.483,0.475,0.471,0.469,0.47,0.473,0.477,0.479,0.479,0.48,0.489,0.506,0.525,0.534,0.531,0.519,0.507,0.495,0.483,0.469,0.456,0.445,0.435,0.429,0.427,0.429,0.434,0.443,0.461,0.486,0.51,0.52,0.509,0.482,0.454,0.434,0.427,0.427,0.43,0.43,0.428,0.422,0.416,0.411,0.412,0.423,0.446,0.476,0.501,0.512,0.514,0.517,0.524,0.529,0.524,0.507,0.485,0.463,0.446,0.433,0.423,0.416,0.415,0.426,0.452,0.485,0.507,0.506,0.483,0.453,0.43,0.418,0.417,0.422,0.428,0.431,0.427,0.418,0.409,0.409,0.42,0.445,0.476,0.505,0.521,0.524,0.521,0.522,0.526,0.525,0.512,0.491,0.467,0.447,0.428,0.41,0.394,0.384,0.388,0.41,0.444,0.475,0.484,0.465,0.432,0.408,0.405,0.421,0.442,0.459,0.466,0.465,0.461,0.459,0.464,0.48,0.506,0.534,0.555,0.56,0.555,0.55,0.554,0.562,0.562,0.544,0.514,0.489,0.484,0.497,0.516,0.521,0.507,0.484,0.47,0.478,0.504,0.53,0.548,0.557,0.565,0.571,0.569,0.552,0.52,0.481,0.438,0.397,0.36,0.333,0.32,0.319,0.32,0.318,0.313,0.32,0.352,0.407,0.465,0.502,0.504,0.479,0.447,0.429,0.435,0.455,0.474,0.479,0.472,0.465,0.471,0.49,0.51,0.519,0.511,0.493,0.475,0.464,0.461,0.461,0.457,0.446,0.424,0.395,0.361,0.334,0.328,0.353,0.406,0.466,0.506,0.517,0.507,0.495,0.482,0.459,0.42,0.376,0.342,0.323,0.313,0.303,0.292,0.287,0.301,0.34,0.4,0.459,0.496,0.501,0.483,0.46,0.445,0.44,0.439,0.438,0.434,0.429,0.427,0.431,0.44,0.454,0.472,0.496,0.522,0.538,0.541,0.537,0.538,0.547,0.552,0.542,0.517,0.488,0.467,0.459,0.462,0.472,0.484,0.495,0.509,0.525,0.54,0.542,0.53,0.515,0.507,0.506,0.502,0.488,0.465,0.442,0.428,0.43,0.452,0.491,0.535,0.565,0.573,0.562,0.545,0.536,0.543,0.56,0.577,0.582,0.575,0.557,0.531,0.502,0.476,0.458,0.451,0.449,0.45,0.455,0.465,0.48,0.493,0.5,0.504,0.513,0.526,0.536,0.538,0.532,0.527,0.525,0.527,0.532,0.539,0.544,0.541,0.536,0.535,0.544,0.555,0.562,0.562,0.556,0.542,0.522,0.503,0.494,0.495,0.503,0.513,0.524,0.535,0.54,0.54,0.536,0.535,0.535,0.531,0.523,0.518,0.519,0.518,0.512,0.501,0.491,0.484,0.481,0.482,0.487,0.494,0.499,0.503,0.51,0.517,0.517,0.509,0.499,0.497,0.502,0.509,0.509,0.504,0.498,0.493,0.49,0.492,0.501,0.512,0.521,0.526,0.529,0.531,0.528,0.526,0.527,0.53,0.529,0.52,0.507,0.498,0.492,0.488,0.487,0.494,0.507,0.519,0.527,0.534,0.545,0.556,0.561,0.556,0.55,0.545,0.541,0.536,0.532,0.529,0.527,0.527,0.531,0.54,0.548,0.551,0.548,0.542,0.535,0.518,0.489,0.45,0.41,0.378,0.357,0.345,0.342,0.347,0.357,0.372,0.39,0.409,0.425,0.436,0.439,0.436,0.429,0.424,0.421,0.42,0.418,0.412,0.403,0.391,0.38,0.371,0.366,0.365,0.37,0.382,0.398,0.411,0.415,0.409,0.397,0.384,0.37,0.355,0.34,0.326,0.317,0.313,0.31,0.307,0.304,0.302,0.3,0.299,0.298,0.295,0.291,0.289,0.29,0.295,0.298,0.296,0.286,0.275,0.272,0.282,0.304,0.332,0.354,0.365,0.365,0.367,0.391,0.451,0.543,0.64,0.712,0.742,0.742,0.729,0.715,0.695,0.655,0.583,0.486,0.386,0.308,0.264,0.256,0.287,0.358,0.466,0.585,0.677,0.717,0.705,0.666,0.628,0.601,0.584,0.571,0.556,0.541,0.525,0.51,0.499,0.498,0.523,0.579,0.658,0.732,0.774,0.775,0.748,0.716,0.69,0.668,0.632,0.568,0.48,0.386,0.309,0.265,0.256,0.283,0.349,0.451,0.564,0.654,0.691,0.674,0.626,0.576,0.544,0.531,0.529,0.529,0.528,0.527,0.534,0.547,0.563,0.582,0.603,0.624,0.636,0.63,0.601,0.561,0.521,0.492,0.473,0.459,0.442,0.42,0.399,0.382,0.368,0.356,0.349,0.358,0.39,0.434,0.473,0.49,0.485,0.47,0.459,0.454,0.452,0.443,0.422,0.389,0.355,0.332,0.328,0.342,0.372,0.413,0.459,0.493,0.504,0.487,0.459,0.438,0.434,0.441,0.451,0.455,0.451,0.444,0.44,0.44,0.447,0.463,0.489,0.517,0.534,0.531,0.506,0.474,0.448,0.437,0.437,0.445,0.454,0.461,0.464,0.463,0.46,0.457,0.459,0.469,0.485,0.5,0.505,0.498,0.483,0.467,0.458,0.457,0.463,0.47,0.473,0.471,0.464,0.458,0.456,0.459,0.472,0.494,0.521,0.542,0.548,0.533,0.505,0.475,0.454,0.446,0.449,0.457,0.462,0.461,0.456,0.451,0.449,0.455,0.47,0.494,0.518,0.53,0.523,0.498,0.47,0.452,0.45,0.459,0.47,0.476,0.474,0.47,0.469,0.472,0.48,0.491,0.506,0.528,0.555,0.581,0.597,0.599,0.591,0.584,0.585,0.59,0.591,0.588,0.586,0.585,0.58,0.568,0.554,0.547,0.549,0.554,0.551,0.537,0.515,0.49,0.466,0.452,0.453,0.471,0.496,0.513,0.512,0.498,0.478,0.464,0.461,0.47,0.488,0.504,0.51,0.503,0.487,0.471,0.465,0.475,0.503,0.542,0.577,0.592,0.584,0.564,0.544,0.534,0.535,0.548,0.567,0.582,0.586,0.576,0.556,0.532,0.515,0.51,0.522,0.542,0.556,0.555,0.539,0.519,0.504,0.504,0.515,0.533,0.544,0.541,0.525,0.504,0.486,0.476,0.478,0.492,0.512,0.525,0.524,0.513,0.502,0.497,0.5,0.507,0.516,0.523,0.524,0.518,0.504,0.489,0.476,0.47,0.473,0.485,0.499,0.506,0.501,0.488,0.475,0.471,0.481,0.505,0.532,0.545,0.537,0.511,0.482,0.462,0.453,0.458,0.475,0.499,0.52,0.526,0.516,0.497,0.479,0.471,0.476,0.494,0.516,0.531,0.531,0.521,0.506,0.493,0.488,0.495,0.514,0.536,0.549,0.543,0.523,0.5,0.484,0.481,0.492,0.515,0.542,0.563,0.57,0.568,0.564,0.565,0.57,0.574,0.573,0.569,0.567,0.564,0.558,0.544,0.531,0.526,0.533,0.547,0.556,0.555,0.546,0.537,0.533,0.537,0.546,0.556,0.559,0.551,0.534,0.515,0.503,0.502,0.512,0.528,0.545,0.552,0.548,0.533,0.518,0.509,0.509,0.517,0.53,0.544,0.55,0.544,0.528,0.508,0.492,0.483,0.486,0.501,0.521,0.534,0.533,0.521,0.506,0.496,0.5,0.517,0.542,0.565,0.575,0.567,0.546,0.523,0.505,0.501,0.511,0.533,0.553,0.561,0.556,0.542,0.525,0.513,0.509,0.516,0.531,0.544,0.55,0.546,0.539,0.533,0.531,0.535,0.542,0.546,0.539,0.522,0.5,0.482,0.475,0.48,0.495,0.517,0.534,0.536,0.522,0.498,0.476,0.464,0.467,0.484,0.507,0.525,0.526,0.511,0.49,0.474,0.468,0.474,0.491,0.512,0.526,0.526,0.511,0.491,0.476,0.474,0.485,0.505,0.522,0.526,0.514,0.496,0.482,0.478,0.485,0.501,0.519,0.533,0.534,0.523,0.506,0.488,0.476,0.475,0.488,0.509,0.523,0.516,0.492,0.468,0.461,0.473,0.499,0.53,0.561,0.588,0.608,0.613,0.601,0.578,0.558,0.549,0.551,0.553,0.545,0.523,0.493,0.462,0.443,0.443,0.462,0.493,0.521,0.532,0.526,0.512,0.498,0.491,0.493,0.505,0.519,0.524,0.516,0.498,0.485,0.487,0.508,0.543,0.584,0.617,0.628,0.616,0.591,0.573,0.568,0.577,0.591,0.605,0.616,0.622,0.624,0.623,0.622,0.622,0.622,0.622,0.623,0.623,0.623,0.623,0.623,0.625,0.626,0.628,0.631,0.637,0.643,0.647,0.646,0.642,0.636,0.63,0.625,0.626,0.631,0.636,0.632,0.613,0.584,0.557,0.548,0.561,0.59,0.616,0.624,0.611,0.584,0.553,0.527,0.516,0.523,0.545,0.564,0.566,0.548,0.523,0.505,0.505,0.521,0.547,0.568,0.574,0.559,0.53,0.502,0.488,0.492,0.516,0.553,0.589,0.604,0.594,0.566,0.535,0.514,0.509,0.521,0.546,0.573,0.592,0.595,0.586,0.572,0.561,0.562,0.577,0.597,0.607,0.599,0.578,0.556,0.545,0.548,0.566,0.592,0.611,0.613,0.597,0.573,0.553,0.542,0.539,0.545,0.555,0.564,0.565,0.56,0.557,0.561,0.575,0.599,0.623,0.638,0.635,0.615,0.586,0.556,0.531,0.518,0.523,0.548,0.579,0.598,0.594,0.572,0.543,0.521,0.515,0.528,0.556,0.581,0.589,0.575,0.547,0.517,0.499,0.502,0.528,0.565,0.591,0.593,0.572,0.541,0.514,0.499,0.499,0.518,0.548,0.576,0.593,0.595,0.59,0.582,0.581,0.591,0.611,0.63,0.635,0.626,0.614,0.608,0.614,0.629,0.647,0.665,0.675,0.676,0.667,0.656,0.648,0.65,0.658,0.669,0.676,0.674,0.664,0.648,0.633,0.623,0.625,0.634,0.644,0.641,0.622,0.592,0.562,0.54,0.528,0.529,0.544,0.569,0.589,0.59,0.57,0.54,0.514,0.505,0.515,0.539,0.561,0.568,0.553,0.524,0.493,0.471,0.466,0.48,0.506,0.529,0.537,0.529,0.515,0.502,0.494,0.494,0.508,0.537,0.569,0.59,0.589,0.572,0.553,0.546,0.559,0.585,0.61,0.618,0.602,0.573,0.546,0.53,0.529,0.542,0.561,0.575,0.578,0.567,0.551,0.537,0.532,0.539,0.56,0.586,0.605,0.609,0.599,0.583,0.568,0.563,0.569,0.587,0.604,0.605,0.584,0.551,0.519,0.495,0.486,0.493,0.515,0.54,0.554,0.548,0.527,0.505,0.495,0.503,0.53,0.566,0.594,0.6,0.583,0.554,0.528,0.516,0.525,0.553,0.584,0.604,0.604,0.588,0.567,0.551,0.549,0.57,0.612,0.658,0.689,0.691,0.668,0.635,0.611,0.608,0.628,0.658,0.679,0.682,0.668,0.651,0.642,0.646,0.66,0.678,0.693,0.702,0.7,0.689,0.676,0.67,0.675,0.682,0.684,0.678,0.671,0.666,0.659,0.648,0.641,0.651,0.682,0.72,0.74,0.73,0.694,0.648,0.61,0.592,0.597,0.618,0.632,0.617,0.57,0.515,0.483,0.489,0.525,0.575,0.625,0.658,0.666,0.649,0.617,0.586,0.567,0.569,0.594,0.638,0.681,0.707,0.701,0.668,0.625,0.591,0.581,0.592,0.609,0.617,0.613,0.6,0.587,0.579,0.58,0.592,0.611,0.628,0.631,0.616,0.593,0.574,0.568,0.577,0.596,0.615,0.622,0.613,0.593,0.572,0.558,0.559,0.574,0.596,0.614,0.618,0.606,0.585,0.566,0.556,0.563,0.584,0.608,0.618,0.609,0.584,0.56,0.545,0.545,0.557,0.577,0.596,0.605,0.599,0.583,0.563,0.545,0.535,0.539,0.56,0.584,0.596,0.59,0.572,0.554,0.544,0.548,0.564,0.587,0.605,0.609,0.6,0.587,0.575,0.57,0.574,0.591,0.617,0.643,0.657,0.659,0.656,0.657,0.665,0.679,0.69,0.694,0.688,0.673,0.656,0.645,0.65,0.668,0.693,0.715,0.727,0.725,0.709,0.686,0.665,0.65,0.641,0.637,0.637,0.644,0.654,0.66,0.661,0.662,0.67,0.685,0.7,0.702,0.69,0.668,0.646,0.627,0.612,0.603,0.602,0.609,0.617,0.619,0.613,0.603,0.593,0.59,0.596,0.613,0.635,0.655,0.666,0.667,0.655,0.637,0.622,0.613,0.608,0.598,0.582,0.565,0.556,0.557,0.566,0.58,0.592,0.593,0.583,0.566,0.556,0.556,0.563,0.572,0.58,0.588,0.592,0.59,0.582,0.571,0.558,0.548,0.545,0.554,0.57,0.586,0.593,0.594,0.593,0.594,0.594,0.593,0.591,0.586,0.58,0.577,0.577,0.578,0.578,0.578,0.579,0.582,0.581,0.575,0.564,0.555,0.548,0.544,0.546,0.556,0.567,0.571,0.564,0.552,0.541,0.532,0.528,0.529,0.534,0.535,0.529,0.518,0.513,0.52,0.536,0.556,0.575,0.587,0.588,0.58,0.571,0.567,0.569,0.576,0.59,0.609,0.624,0.619,0.587,0.538,0.492,0.463,0.451,0.452,0.458,0.465,0.474,0.482,0.492,0.501,0.509,0.514,0.514,0.51,0.503,0.494,0.482,0.467,0.449,0.433,0.42,0.414,0.415,0.425,0.442,0.466,0.493,0.519,0.544,0.566,0.579,0.577,0.561,0.537,0.511,0.483,0.455,0.433,0.423,0.424,0.431,0.438,0.445,0.449,0.446,0.437,0.43,0.437,0.46,0.494,0.527,0.554,0.571,0.573,0.554,0.515,0.464,0.415,0.377,0.35,0.331,0.322,0.338,0.392,0.48,0.575,0.644,0.672,0.674,0.67,0.672,0.68,0.689,0.694,0.686,0.665,0.641,0.627,0.632,0.65,0.675,0.701,0.716,0.715,0.697,0.673,0.652,0.64,0.636,0.645,0.666,0.689,0.703,0.701,0.686,0.666,0.648,0.641,0.646,0.657,0.663,0.659,0.652,0.65,0.655,0.668,0.688,0.718,0.752,0.779,0.791,0.789,0.78,0.769,0.757,0.74,0.715,0.685,0.66,0.653,0.666,0.691,0.714,0.729,0.739,0.748,0.755,0.75,0.731,0.703,0.679,0.673,0.686,0.71,0.727,0.73,0.72,0.709,0.706,0.709,0.709,0.693,0.65,0.571,0.457,0.326,0.204,0.113,0.059,0.033,0.021,0.014,0.008,0.005,0.003,0.002,0.001,0.001,0.001,0.001,0.001]