[0.004,0.004,0.008,0.024,0.063,0.131,0.216,0.291,0.33,0.321,0.274,0.214,0.161,0.124,0.103,0.09,0.084,0.088,0.107,0.141,0.182,0.22,0.253,0.285,0.316,0.334,0.328,0.295,0.25,0.216,0.203,0.203,0.206,0.206,0.208,0.218,0.232,0.245,0.251,0.258,0.267,0.277,0.279,0.265,0.235,0.197,0.164,0.148,0.151,0.167,0.182,0.183,0.167,0.138,0.112,0.101,0.109,0.125,0.131,0.119,0.097,0.081,0.08,0.092,0.104,0.112,0.116,0.123,0.139,0.158,0.178,0.2,0.229,0.266,0.298,0.304,0.275,0.231,0.205,0.217,0.256,0.294,0.305,0.292,0.271,0.262,0.268,0.283,0.299,0.314,0.325,0.328,0.318,0.296,0.272,0.259,0.268,0.297,0.336,0.374,0.401,0.409,0.395,0.362,0.321,0.29,0.284,0.307,0.345,0.38,0.397,0.394,0.381,0.367,0.36,0.356,0.345,0.317,0.268,0.209,0.156,0.126,0.125,0.14,0.152,0.148,0.126,0.096,0.069,0.05,0.038,0.032,0.035,0.048,0.075,0.117,0.169,0.224,0.275,0.318,0.351,0.372,0.376,0.358,0.32,0.267,0.215,0.178,0.17,0.192,0.233,0.279,0.316,0.336,0.34,0.336,0.333,0.33,0.319,0.293,0.257,0.229,0.228,0.253,0.283,0.297,0.285,0.258,0.228,0.2,0.171,0.146,0.136,0.15,0.18,0.209,0.218,0.204,0.174,0.147,0.137,0.145,0.162,0.172,0.173,0.171,0.174,0.175,0.162,0.132,0.096,0.073,0.073,0.094,0.124,0.148,0.162,0.174,0.194,0.218,0.234,0.232,0.214,0.189,0.17,0.169,0.196,0.248,0.31,0.358,0.382,0.386,0.38,0.371,0.362,0.35,0.336,0.322,0.309,0.297,0.283,0.269,0.263,0.268,0.283,0.301,0.316,0.331,0.346,0.364,0.382,0.401,0.42,0.439,0.456,0.467,0.473,0.477,0.482,0.487,0.489,0.486,0.474,0.448,0.404,0.345,0.279,0.219,0.178,0.17,0.2,0.262,0.334,0.393,0.427,0.443,0.445,0.441,0.426,0.406,0.384,0.368,0.369,0.393,0.427,0.449,0.44,0.405,0.369,0.36,0.387,0.441,0.497,0.539,0.561,0.568,0.564,0.546,0.507,0.449,0.386,0.342,0.33,0.35,0.387,0.426,0.457,0.475,0.481,0.477,0.467,0.452,0.436,0.426,0.424,0.431,0.444,0.462,0.486,0.515,0.547,0.575,0.593,0.594,0.579,0.554,0.53,0.515,0.51,0.508,0.502,0.489,0.471,0.458,0.453,0.458,0.465,0.465,0.448,0.414,0.368,0.326,0.302,0.306,0.338,0.387,0.433,0.461,0.471,0.475,0.489,0.518,0.556,0.585,0.599,0.598,0.594,0.594,0.6,0.608,0.612,0.609,0.599,0.585,0.566,0.543,0.513,0.479,0.443,0.415,0.405,0.417,0.444,0.473,0.497,0.517,0.54,0.566,0.588,0.596,0.593,0.583,0.565,0.532,0.483,0.425,0.376,0.346,0.337,0.344,0.367,0.403,0.446,0.486,0.518,0.542,0.557,0.564,0.562,0.552,0.538,0.52,0.492,0.454,0.413,0.385,0.381,0.401,0.433,0.468,0.507,0.552,0.599,0.635,0.646,0.632,0.611,0.602,0.607,0.616,0.614,0.599,0.578,0.564,0.558,0.553,0.537,0.501,0.443,0.372,0.304,0.255,0.235,0.243,0.275,0.329,0.397,0.469,0.53,0.568,0.581,0.581,0.579,0.585,0.591,0.586,0.562,0.524,0.485,0.458,0.448,0.45,0.458,0.463,0.463,0.46,0.463,0.471,0.476,0.467,0.44,0.399,0.361,0.335,0.329,0.343,0.375,0.416,0.452,0.476,0.489,0.503,0.528,0.564,0.599,0.62,0.621,0.611,0.6,0.595,0.594,0.591,0.585,0.575,0.562,0.547,0.528,0.504,0.475,0.444,0.418,0.406,0.416,0.448,0.488,0.516,0.517,0.495,0.466,0.444,0.435,0.436,0.443,0.454,0.46,0.446,0.409,0.359,0.317,0.292,0.291,0.312,0.355,0.412,0.469,0.514,0.543,0.559,0.563,0.559,0.548,0.537,0.531,0.53,0.528,0.519,0.502,0.487,0.478,0.478,0.483,0.496,0.516,0.543,0.567,0.578,0.576,0.569,0.569,0.578,0.589,0.597,0.6,0.599,0.596,0.59,0.582,0.571,0.556,0.536,0.512,0.482,0.443,0.393,0.337,0.291,0.279,0.312,0.381,0.46,0.521,0.551,0.552,0.538,0.525,0.518,0.51,0.496,0.473,0.449,0.433,0.43,0.436,0.442,0.439,0.43,0.424,0.425,0.43,0.427,0.41,0.387,0.371,0.366,0.367,0.365,0.358,0.355,0.359,0.369,0.377,0.381,0.39,0.417,0.466,0.528,0.582,0.617,0.63,0.633,0.632,0.629,0.621,0.609,0.596,0.586,0.58,0.574,0.565,0.545,0.514,0.475,0.443,0.43,0.444,0.476,0.509,0.531,0.543,0.553,0.566,0.579,0.583,0.58,0.575,0.575,0.577,0.569,0.539,0.486,0.416,0.348,0.302,0.294,0.32,0.361,0.402,0.437,0.467,0.49,0.503,0.508,0.506,0.504,0.505,0.509,0.513,0.513,0.508,0.5,0.496,0.497,0.501,0.507,0.519,0.542,0.576,0.608,0.629,0.633,0.625,0.611,0.598,0.588,0.582,0.579,0.576,0.573,0.57,0.563,0.546,0.519,0.488,0.463,0.445,0.428,0.404,0.377,0.365,0.386,0.44,0.503,0.551,0.567,0.557,0.538,0.526,0.514,0.49,0.444,0.392,0.358,0.359,0.389,0.425,0.447,0.451,0.444,0.437,0.433,0.429,0.419,0.399,0.369,0.33,0.289,0.253,0.233,0.238,0.273,0.329,0.389,0.438,0.468,0.485,0.499,0.52,0.545,0.567,0.579,0.586,0.592,0.6,0.604,0.601,0.589,0.576,0.565,0.561,0.56,0.559,0.548,0.521,0.474,0.421,0.386,0.386,0.418,0.459,0.495,0.523,0.551,0.581,0.605,0.611,0.6,0.579,0.561,0.546,0.532,0.509,0.473,0.426,0.384,0.369,0.394,0.455,0.531,0.596,0.631,0.632,0.609,0.58,0.558,0.548,0.547,0.553,0.562,0.575,0.587,0.592,0.582,0.559,0.53,0.51,0.505,0.514,0.53,0.544,0.553,0.557,0.56,0.562,0.563,0.56,0.555,0.551,0.549,0.551,0.556,0.562,0.562,0.55,0.522,0.485,0.447,0.413,0.382,0.355,0.343,0.359,0.405,0.467,0.519,0.546,0.546,0.535,0.527,0.523,0.509,0.475,0.426,0.382,0.36,0.364,0.386,0.417,0.446,0.469,0.483,0.484,0.472,0.446,0.411,0.375,0.345,0.323,0.304,0.288,0.281,0.296,0.333,0.379,0.419,0.446,0.469,0.497,0.532,0.568,0.593,0.605,0.608,0.611,0.616,0.621,0.62,0.613,0.601,0.589,0.582,0.58,0.579,0.569,0.545,0.507,0.469,0.446,0.448,0.467,0.488,0.501,0.506,0.51,0.52,0.536,0.556,0.577,0.597,0.612,0.615,0.603,0.576,0.537,0.488,0.437,0.399,0.385,0.399,0.429,0.459,0.479,0.487,0.484,0.479,0.475,0.478,0.49,0.509,0.529,0.543,0.546,0.538,0.523,0.507,0.496,0.493,0.499,0.513,0.53,0.547,0.56,0.569,0.572,0.572,0.568,0.562,0.559,0.56,0.567,0.575,0.576,0.564,0.533,0.482,0.424,0.374,0.347,0.341,0.35,0.363,0.379,0.405,0.442,0.486,0.526,0.552,0.557,0.55,0.542,0.543,0.545,0.544,0.531,0.511,0.492,0.479,0.471,0.467,0.464,0.455,0.44,0.419,0.398,0.376,0.349,0.313,0.281,0.271,0.297,0.352,0.414,0.462,0.487,0.491,0.484,0.48,0.49,0.515,0.547,0.575,0.592,0.595,0.59,0.585,0.584,0.588,0.593,0.591,0.582,0.569,0.559,0.556,0.556,0.556,0.549,0.533,0.508,0.482,0.466,0.466,0.478,0.493,0.508,0.527,0.555,0.591,0.622,0.636,0.633,0.616,0.596,0.571,0.542,0.508,0.476,0.453,0.443,0.449,0.471,0.509,0.557,0.601,0.625,0.625,0.608,0.59,0.58,0.581,0.588,0.597,0.609,0.618,0.619,0.603,0.57,0.534,0.512,0.514,0.538,0.573,0.604,0.622,0.626,0.617,0.604,0.591,0.583,0.581,0.585,0.591,0.596,0.595,0.59,0.578,0.558,0.527,0.483,0.434,0.383,0.338,0.3,0.279,0.285,0.323,0.388,0.462,0.522,0.55,0.547,0.529,0.51,0.49,0.458,0.404,0.333,0.265,0.222,0.221,0.258,0.313,0.365,0.398,0.413,0.418,0.418,0.41,0.391,0.366,0.344,0.336,0.343,0.362,0.384,0.408,0.427,0.441,0.449,0.457,0.474,0.505,0.545,0.584,0.606,0.612,0.606,0.6,0.597,0.595,0.59,0.584,0.578,0.576,0.574,0.569,0.556,0.535,0.513,0.492,0.481,0.485,0.502,0.525,0.545,0.556,0.562,0.57,0.584,0.602,0.617,0.628,0.636,0.642,0.639,0.621,0.584,0.536,0.492,0.463,0.454,0.462,0.478,0.491,0.496,0.496,0.497,0.504,0.52,0.539,0.558,0.572,0.578,0.576,0.565,0.546,0.525,0.508,0.499,0.495,0.493,0.496,0.51,0.535,0.563,0.578,0.575,0.559,0.544,0.538,0.541,0.549,0.56,0.57,0.576,0.577,0.571,0.557,0.528,0.483,0.423,0.357,0.296,0.249,0.227,0.235,0.277,0.346,0.426,0.494,0.532,0.532,0.512,0.49,0.481,0.473,0.445,0.384,0.304,0.23,0.192,0.2,0.248,0.311,0.366,0.4,0.416,0.423,0.426,0.425,0.415,0.395,0.369,0.345,0.329,0.327,0.339,0.364,0.394,0.42,0.438,0.452,0.473,0.508,0.555,0.6,0.63,0.638,0.631,0.617,0.601,0.577,0.543,0.504,0.476,0.474,0.501,0.537,0.566,0.575,0.562,0.534,0.503,0.481,0.476,0.483,0.491,0.498,0.505,0.517,0.535,0.554,0.57,0.585,0.598,0.604,0.588,0.537,0.452,0.355,0.274,0.235,0.251,0.312,0.401,0.494,0.569,0.608,0.607,0.577,0.541,0.516,0.508,0.513,0.527,0.544,0.559,0.565,0.554,0.522,0.476,0.422,0.369,0.326,0.306,0.321,0.366,0.421,0.463,0.48,0.475,0.461,0.445,0.431,0.419,0.412,0.413,0.421,0.432,0.443,0.452,0.459,0.462,0.458,0.447,0.434,0.423,0.42,0.419,0.417,0.411,0.403,0.397,0.397,0.401,0.411,0.424,0.436,0.44,0.432,0.413,0.392,0.378,0.372,0.373,0.375,0.373,0.364,0.35,0.337,0.329,0.33,0.334,0.333,0.323,0.31,0.306,0.313,0.328,0.342,0.351,0.353,0.35,0.343,0.338,0.341,0.355,0.372,0.377,0.361,0.332,0.308,0.305,0.318,0.333,0.337,0.331,0.326,0.327,0.334,0.345,0.355,0.363,0.366,0.362,0.351,0.338,0.334,0.347,0.376,0.408,0.43,0.432,0.413,0.381,0.355,0.348,0.363,0.392,0.419,0.435,0.442,0.444,0.444,0.439,0.423,0.394,0.351,0.299,0.249,0.213,0.201,0.208,0.222,0.227,0.218,0.202,0.188,0.186,0.195,0.207,0.219,0.234,0.257,0.284,0.312,0.336,0.359,0.381,0.396,0.394,0.373,0.342,0.318,0.31,0.314,0.323,0.327,0.323,0.312,0.304,0.306,0.32,0.336,0.339,0.321,0.296,0.287,0.305,0.341,0.375,0.394,0.395,0.38,0.348,0.307,0.273,0.263,0.279,0.308,0.327,0.325,0.307,0.288,0.278,0.277,0.274,0.261,0.24,0.221,0.202,0.18,0.152,0.126,0.114,0.124,0.151,0.186,0.219,0.252,0.283,0.306,0.313,0.301,0.277,0.254,0.247,0.268,0.317,0.378,0.426,0.447,0.442,0.428,0.416,0.409,0.403,0.394,0.385,0.375,0.362,0.345,0.325,0.312,0.309,0.315,0.325,0.336,0.347,0.364,0.388,0.414,0.434,0.443,0.44,0.43,0.418,0.408,0.4,0.396,0.394,0.389,0.381,0.366,0.345,0.321,0.297,0.281,0.278,0.283,0.287,0.286,0.282,0.286,0.297,0.308,0.309,0.296,0.274,0.252,0.241,0.245,0.259,0.271,0.278,0.289,0.32,0.379,0.454,0.52,0.561,0.578,0.586,0.593,0.597,0.589,0.561,0.516,0.468,0.442,0.45,0.481,0.506,0.499,0.461,0.409,0.366,0.343,0.336,0.34,0.358,0.396,0.453,0.515,0.564,0.591,0.596,0.589,0.58,0.568,0.552,0.529,0.506,0.491,0.485,0.485,0.482,0.471,0.454,0.436,0.424,0.422,0.426,0.43,0.424,0.404,0.37,0.334,0.304,0.292,0.303,0.34,0.393,0.445,0.481,0.499,0.509,0.526,0.551,0.579,0.595,0.597,0.59,0.585,0.585,0.584,0.569,0.534,0.488,0.452,0.448,0.478,0.52,0.541,0.526,0.483,0.44,0.421,0.43,0.454,0.478,0.497,0.518,0.546,0.576,0.594,0.594,0.584,0.576,0.577,0.573,0.555,0.518,0.469,0.418,0.377,0.353,0.355,0.38,0.417,0.451,0.473,0.485,0.495,0.509,0.527,0.544,0.552,0.549,0.538,0.521,0.503,0.485,0.47,0.459,0.451,0.447,0.452,0.471,0.508,0.551,0.583,0.596,0.594,0.586,0.58,0.574,0.567,0.561,0.56,0.564,0.57,0.57,0.557,0.525,0.477,0.42,0.368,0.33,0.311,0.309,0.326,0.366,0.425,0.492,0.548,0.581,0.587,0.578,0.569,0.568,0.568,0.558,0.525,0.473,0.416,0.377,0.373,0.403,0.448,0.487,0.507,0.513,0.513,0.511,0.505,0.49,0.464,0.432,0.402,0.378,0.368,0.377,0.406,0.446,0.485,0.509,0.521,0.528,0.542,0.566,0.59,0.605,0.607,0.601,0.591,0.581,0.57,0.559,0.552,0.549,0.55,0.552,0.551,0.543,0.524,0.497,0.473,0.465,0.477,0.502,0.527,0.542,0.549,0.556,0.568,0.582,0.596,0.61,0.626,0.638,0.639,0.62,0.582,0.53,0.471,0.418,0.384,0.384,0.416,0.465,0.511,0.542,0.558,0.564,0.563,0.558,0.554,0.553,0.557,0.564,0.567,0.563,0.552,0.541,0.533,0.527,0.523,0.518,0.52,0.532,0.553,0.569,0.576,0.571,0.565,0.562,0.565,0.572,0.582,0.591,0.597,0.595,0.586,0.572,0.555,0.536,0.512,0.483,0.448,0.406,0.365,0.342,0.351,0.395,0.462,0.526,0.568,0.579,0.571,0.56,0.555,0.552,0.541,0.517,0.491,0.472,0.467,0.476,0.493,0.513,0.529,0.537,0.54,0.537,0.526,0.502,0.466,0.431,0.408,0.399,0.393,0.387,0.387,0.402,0.43,0.459,0.47,0.463,0.454,0.466,0.505,0.559,0.602,0.622,0.622,0.615,0.608,0.599,0.588,0.576,0.567,0.567,0.571,0.576,0.574,0.557,0.526,0.491,0.467,0.465,0.485,0.511,0.528,0.535,0.538,0.548,0.566,0.585,0.6,0.611,0.616,0.616,0.6,0.559,0.488,0.402,0.324,0.284,0.298,0.36,0.443,0.517,0.562,0.577,0.575,0.568,0.564,0.563,0.561,0.556,0.549,0.538,0.526,0.516,0.515,0.523,0.54,0.556,0.567,0.574,0.583,0.596,0.609,0.614,0.606,0.59,0.575,0.567,0.568,0.574,0.581,0.584,0.581,0.573,0.56,0.544,0.523,0.5,0.483,0.473,0.467,0.453,0.429,0.406,0.408,0.442,0.499,0.554,0.59,0.603,0.605,0.604,0.605,0.598,0.572,0.527,0.477,0.439,0.423,0.427,0.444,0.467,0.488,0.506,0.515,0.514,0.499,0.469,0.426,0.377,0.328,0.289,0.267,0.27,0.302,0.359,0.424,0.476,0.503,0.508,0.51,0.522,0.55,0.578,0.595,0.596,0.591,0.586,0.583,0.579,0.571,0.563,0.56,0.565,0.577,0.597,0.613,0.613,0.58,0.52,0.46,0.434,0.45,0.491,0.53,0.557,0.578,0.601,0.627,0.65,0.668,0.681,0.693,0.696,0.683,0.647,0.59,0.522,0.458,0.419,0.419,0.458,0.52,0.58,0.617,0.622,0.606,0.582,0.564,0.557,0.558,0.565,0.572,0.58,0.587,0.592,0.592,0.582,0.56,0.53,0.503,0.494,0.507,0.54,0.575,0.598,0.606,0.605,0.602,0.598,0.59,0.581,0.571,0.562,0.553,0.546,0.538,0.527,0.509,0.481,0.448,0.417,0.391,0.37,0.359,0.366,0.402,0.461,0.525,0.57,0.585,0.578,0.565,0.56,0.557,0.546,0.517,0.477,0.44,0.419,0.418,0.437,0.466,0.496,0.517,0.528,0.526,0.508,0.472,0.425,0.378,0.345,0.327,0.318,0.315,0.326,0.358,0.405,0.451,0.477,0.479,0.474,0.483,0.515,0.562,0.606,0.631,0.634,0.625,0.615,0.607,0.601,0.594,0.585,0.577,0.571,0.569,0.568,0.56,0.54,0.508,0.475,0.458,0.463,0.485,0.512,0.532,0.547,0.565,0.591,0.621,0.645,0.658,0.658,0.646,0.616,0.572,0.517,0.463,0.418,0.393,0.391,0.413,0.449,0.485,0.511,0.524,0.53,0.534,0.539,0.545,0.552,0.562,0.575,0.586,0.591,0.588,0.58,0.571,0.565,0.564,0.569,0.583,0.605,0.627,0.641,0.64,0.626,0.608,0.594,0.583,0.575,0.569,0.567,0.568,0.571,0.573,0.57,0.554,0.516,0.457,0.389,0.334,0.308,0.314,0.343,0.385,0.433,0.48,0.521,0.549,0.56,0.558,0.554,0.559,0.575,0.588,0.583,0.555,0.515,0.475,0.449,0.445,0.461,0.485,0.505,0.513,0.509,0.497,0.472,0.429,0.37,0.315,0.289,0.306,0.354,0.41,0.453,0.48,0.497,0.51,0.525,0.544,0.57,0.601,0.631,0.65,0.652,0.639,0.622,0.609,0.603,0.6,0.599,0.598,0.598,0.598,0.594,0.584,0.566,0.539,0.507,0.48,0.47,0.481,0.506,0.529,0.54,0.544,0.551,0.569,0.593,0.615,0.629,0.634,0.631,0.614,0.582,0.538,0.494,0.457,0.433,0.425,0.436,0.463,0.497,0.528,0.548,0.558,0.562,0.566,0.572,0.581,0.591,0.598,0.6,0.593,0.579,0.557,0.536,0.525,0.526,0.54,0.563,0.592,0.622,0.648,0.66,0.653,0.636,0.619,0.61,0.608,0.607,0.607,0.607,0.607,0.607,0.605,0.597,0.579,0.543,0.485,0.413,0.337,0.274,0.233,0.221,0.242,0.293,0.368,0.449,0.518,0.558,0.571,0.567,0.559,0.54,0.504,0.444,0.371,0.299,0.251,0.242,0.274,0.33,0.387,0.429,0.453,0.463,0.464,0.454,0.432,0.405,0.381,0.369,0.373,0.388,0.41,0.433,0.454,0.471,0.483,0.496,0.517,0.548,0.583,0.612,0.628,0.628,0.62,0.609,0.598,0.586,0.576,0.571,0.573,0.579,0.584,0.583,0.571,0.55,0.52,0.493,0.479,0.488,0.517,0.553,0.581,0.595,0.598,0.598,0.6,0.605,0.611,0.618,0.625,0.626,0.611,0.579,0.532,0.481,0.435,0.406,0.399,0.419,0.456,0.499,0.533,0.554,0.562,0.564,0.565,0.57,0.579,0.586,0.587,0.58,0.564,0.542,0.519,0.502,0.493,0.493,0.502,0.521,0.551,0.585,0.608,0.61,0.594,0.576,0.567,0.57,0.578,0.586,0.59,0.592,0.591,0.588,0.58,0.561,0.527,0.474,0.407,0.338,0.279,0.24,0.227,0.244,0.292,0.357,0.422,0.467,0.488,0.495,0.501,0.511,0.516,0.502,0.461,0.396,0.323,0.265,0.241,0.261,0.315,0.378,0.429,0.458,0.466,0.46,0.445,0.42,0.389,0.359,0.338,0.333,0.343,0.367,0.4,0.434,0.462,0.479,0.487,0.496,0.519,0.558,0.604,0.638,0.649,0.638,0.618,0.601,0.589,0.58,0.574,0.569,0.566,0.563,0.558,0.547,0.53,0.508,0.486,0.473,0.473,0.487,0.508,0.526,0.538,0.547,0.56,0.58,0.602,0.62,0.631,0.636,0.637,0.627,0.603,0.566,0.525,0.489,0.466,0.459,0.469,0.489,0.512,0.529,0.54,0.545,0.547,0.551,0.556,0.564,0.574,0.581,0.584,0.577,0.564,0.548,0.532,0.518,0.497,0.459,0.403,0.337,0.277,0.234,0.209,0.192,0.174,0.149,0.121,0.093,0.072,0.057,0.048,0.042,0.039,0.036,0.033,0.031,0.028,0.026,0.024,0.022,0.021,0.02,0.019,0.018,0.017,0.015,0.014,0.014,0.013,0.012,0.011,0.01,0.01,0.009,0.008,0.007,0.006,0.005,0.004,0.003,0.003,0.002,0.002]