[0.007,0.01,0.015,0.021,0.026,0.032,0.037,0.043,0.049,0.052,0.054,0.055,0.057,0.061,0.068,0.077,0.087,0.098,0.105,0.108,0.105,0.1,0.095,0.092,0.09,0.089,0.087,0.085,0.084,0.085,0.086,0.086,0.086,0.085,0.087,0.091,0.097,0.103,0.108,0.111,0.114,0.117,0.119,0.121,0.121,0.121,0.119,0.116,0.113,0.11,0.109,0.111,0.115,0.119,0.125,0.134,0.146,0.164,0.184,0.203,0.216,0.223,0.226,0.227,0.227,0.224,0.216,0.202,0.185,0.167,0.15,0.136,0.126,0.12,0.117,0.115,0.113,0.113,0.115,0.116,0.117,0.116,0.114,0.114,0.118,0.128,0.146,0.174,0.217,0.272,0.329,0.378,0.409,0.428,0.443,0.463,0.489,0.515,0.532,0.53,0.502,0.451,0.389,0.332,0.29,0.264,0.248,0.236,0.227,0.22,0.214,0.206,0.195,0.185,0.18,0.183,0.191,0.199,0.204,0.205,0.207,0.211,0.219,0.226,0.227,0.223,0.214,0.204,0.193,0.183,0.175,0.171,0.178,0.202,0.247,0.304,0.358,0.393,0.4,0.382,0.349,0.31,0.274,0.246,0.23,0.223,0.221,0.218,0.207,0.183,0.15,0.116,0.088,0.071,0.061,0.058,0.059,0.066,0.083,0.113,0.154,0.198,0.231,0.244,0.239,0.226,0.218,0.221,0.236,0.257,0.277,0.287,0.284,0.267,0.242,0.222,0.219,0.241,0.279,0.318,0.341,0.342,0.323,0.291,0.254,0.219,0.188,0.161,0.139,0.118,0.1,0.086,0.077,0.072,0.069,0.067,0.065,0.063,0.061,0.059,0.058,0.06,0.063,0.066,0.067,0.066,0.067,0.075,0.098,0.139,0.196,0.258,0.308,0.335,0.335,0.317,0.291,0.267,0.246,0.228,0.213,0.204,0.206,0.221,0.238,0.246,0.235,0.207,0.172,0.14,0.117,0.102,0.092,0.084,0.08,0.08,0.088,0.102,0.124,0.15,0.177,0.196,0.205,0.21,0.218,0.233,0.248,0.255,0.247,0.228,0.209,0.2,0.206,0.224,0.243,0.254,0.256,0.256,0.26,0.27,0.282,0.291,0.298,0.303,0.302,0.288,0.258,0.221,0.19,0.177,0.182,0.193,0.196,0.183,0.16,0.137,0.126,0.133,0.156,0.185,0.208,0.212,0.196,0.166,0.135,0.111,0.099,0.093,0.087,0.077,0.066,0.058,0.054,0.052,0.05,0.049,0.052,0.063,0.086,0.115,0.143,0.157,0.157,0.154,0.162,0.188,0.224,0.254,0.267,0.265,0.259,0.269,0.304,0.358,0.407,0.434,0.437,0.435,0.442,0.459,0.471,0.462,0.43,0.386,0.34,0.3,0.267,0.245,0.236,0.243,0.26,0.278,0.29,0.292,0.288,0.282,0.274,0.267,0.262,0.259,0.259,0.262,0.267,0.271,0.269,0.263,0.255,0.25,0.247,0.246,0.248,0.257,0.274,0.297,0.319,0.343,0.372,0.406,0.439,0.461,0.468,0.459,0.438,0.408,0.373,0.34,0.315,0.301,0.296,0.295,0.296,0.301,0.313,0.326,0.331,0.318,0.288,0.253,0.23,0.23,0.246,0.263,0.266,0.256,0.244,0.242,0.25,0.261,0.269,0.268,0.259,0.241,0.216,0.192,0.181,0.188,0.206,0.223,0.231,0.236,0.25,0.275,0.305,0.323,0.319,0.298,0.273,0.253,0.244,0.241,0.241,0.244,0.25,0.258,0.263,0.262,0.255,0.244,0.235,0.229,0.225,0.219,0.212,0.204,0.198,0.194,0.191,0.192,0.197,0.208,0.222,0.232,0.235,0.229,0.221,0.222,0.235,0.256,0.27,0.268,0.249,0.221,0.194,0.175,0.169,0.172,0.178,0.18,0.175,0.164,0.152,0.14,0.129,0.118,0.107,0.097,0.091,0.095,0.108,0.126,0.144,0.158,0.17,0.18,0.189,0.194,0.193,0.189,0.187,0.191,0.199,0.207,0.21,0.209,0.208,0.208,0.211,0.22,0.238,0.269,0.311,0.356,0.391,0.409,0.411,0.404,0.396,0.395,0.398,0.402,0.404,0.408,0.416,0.426,0.435,0.439,0.439,0.44,0.439,0.437,0.432,0.425,0.419,0.414,0.408,0.403,0.401,0.403,0.409,0.415,0.419,0.42,0.423,0.428,0.432,0.431,0.424,0.415,0.411,0.409,0.404,0.396,0.387,0.387,0.399,0.417,0.429,0.431,0.424,0.415,0.406,0.397,0.391,0.392,0.404,0.422,0.438,0.447,0.447,0.443,0.44,0.44,0.44,0.437,0.429,0.422,0.417,0.412,0.402,0.388,0.373,0.367,0.37,0.379,0.385,0.387,0.387,0.391,0.393,0.388,0.37,0.343,0.321,0.313,0.32,0.336,0.359,0.383,0.406,0.42,0.419,0.406,0.389,0.38,0.38,0.387,0.39,0.386,0.381,0.383,0.394,0.408,0.413,0.409,0.399,0.392,0.389,0.386,0.381,0.376,0.378,0.388,0.402,0.414,0.42,0.42,0.419,0.418,0.415,0.41,0.403,0.398,0.398,0.404,0.413,0.421,0.428,0.433,0.435,0.433,0.429,0.424,0.424,0.428,0.43,0.423,0.402,0.373,0.349,0.341,0.353,0.373,0.389,0.397,0.401,0.405,0.409,0.411,0.41,0.407,0.405,0.405,0.402,0.4,0.402,0.409,0.42,0.424,0.42,0.41,0.403,0.405,0.416,0.429,0.435,0.433,0.426,0.419,0.416,0.417,0.422,0.431,0.444,0.456,0.463,0.463,0.458,0.451,0.441,0.429,0.416,0.408,0.408,0.418,0.432,0.441,0.437,0.418,0.391,0.364,0.344,0.336,0.34,0.356,0.381,0.411,0.432,0.435,0.417,0.39,0.37,0.372,0.39,0.411,0.419,0.411,0.394,0.379,0.375,0.383,0.398,0.413,0.42,0.414,0.396,0.369,0.339,0.313,0.298,0.302,0.327,0.365,0.402,0.426,0.438,0.447,0.458,0.467,0.468,0.459,0.446,0.436,0.427,0.413,0.392,0.374,0.369,0.38,0.398,0.411,0.408,0.39,0.364,0.342,0.333,0.331,0.326,0.309,0.281,0.258,0.252,0.266,0.296,0.334,0.373,0.403,0.419,0.42,0.415,0.409,0.403,0.393,0.379,0.37,0.374,0.389,0.398,0.388,0.362,0.339,0.335,0.355,0.385,0.405,0.403,0.382,0.358,0.349,0.363,0.389,0.414,0.427,0.427,0.418,0.406,0.392,0.377,0.363,0.355,0.355,0.359,0.357,0.341,0.308,0.273,0.253,0.266,0.307,0.355,0.381,0.376,0.353,0.334,0.334,0.347,0.362,0.367,0.366,0.37,0.384,0.405,0.421,0.423,0.407,0.379,0.35,0.332,0.329,0.339,0.359,0.382,0.406,0.426,0.44,0.447,0.448,0.439,0.416,0.376,0.325,0.285,0.279,0.316,0.378,0.432,0.446,0.415,0.36,0.309,0.282,0.284,0.308,0.339,0.365,0.379,0.379,0.367,0.345,0.318,0.294,0.281,0.289,0.317,0.354,0.379,0.38,0.356,0.326,0.309,0.317,0.345,0.375,0.393,0.403,0.42,0.455,0.498,0.527,0.528,0.507,0.479,0.452,0.424,0.389,0.354,0.333,0.332,0.342,0.344,0.333,0.317,0.308,0.304,0.296,0.28,0.267,0.271,0.293,0.313,0.317,0.305,0.293,0.293,0.303,0.313,0.315,0.317,0.327,0.35,0.376,0.396,0.405,0.41,0.417,0.425,0.428,0.428,0.425,0.423,0.417,0.402,0.378,0.354,0.342,0.346,0.358,0.366,0.368,0.369,0.376,0.386,0.39,0.386,0.38,0.38,0.387,0.386,0.367,0.331,0.294,0.273,0.269,0.272,0.273,0.279,0.296,0.323,0.342,0.339,0.319,0.304,0.311,0.337,0.365,0.38,0.38,0.372,0.362,0.351,0.344,0.346,0.364,0.391,0.414,0.422,0.418,0.411,0.411,0.42,0.43,0.438,0.444,0.45,0.459,0.466,0.468,0.466,0.466,0.47,0.471,0.463,0.447,0.431,0.425,0.43,0.438,0.441,0.439,0.436,0.437,0.44,0.438,0.432,0.425,0.425,0.433,0.44,0.442,0.437,0.434,0.434,0.436,0.435,0.431,0.428,0.431,0.437,0.439,0.433,0.423,0.418,0.42,0.423,0.419,0.409,0.401,0.402,0.412,0.42,0.423,0.422,0.425,0.433,0.441,0.443,0.437,0.433,0.437,0.447,0.456,0.458,0.457,0.458,0.462,0.464,0.46,0.457,0.465,0.486,0.512,0.524,0.515,0.493,0.473,0.465,0.468,0.471,0.467,0.461,0.458,0.462,0.467,0.468,0.461,0.453,0.451,0.46,0.48,0.504,0.52,0.519,0.494,0.451,0.402,0.364,0.348,0.355,0.37,0.377,0.373,0.369,0.383,0.411,0.437,0.445,0.433,0.415,0.405,0.41,0.429,0.459,0.488,0.505,0.503,0.486,0.468,0.456,0.451,0.448,0.44,0.431,0.429,0.441,0.465,0.492,0.509,0.51,0.501,0.491,0.491,0.501,0.52,0.538,0.545,0.536,0.51,0.475,0.442,0.428,0.437,0.462,0.485,0.493,0.483,0.46,0.434,0.411,0.396,0.39,0.386,0.377,0.362,0.352,0.357,0.377,0.403,0.421,0.419,0.399,0.371,0.354,0.36,0.388,0.426,0.462,0.49,0.509,0.514,0.507,0.491,0.478,0.477,0.491,0.515,0.537,0.549,0.543,0.515,0.473,0.434,0.412,0.412,0.424,0.437,0.443,0.446,0.454,0.469,0.481,0.482,0.467,0.446,0.434,0.442,0.468,0.503,0.534,0.552,0.553,0.54,0.52,0.499,0.478,0.46,0.447,0.439,0.436,0.437,0.442,0.453,0.469,0.484,0.494,0.497,0.5,0.509,0.527,0.553,0.579,0.59,0.579,0.543,0.495,0.453,0.434,0.44,0.462,0.479,0.482,0.468,0.452,0.444,0.455,0.484,0.523,0.56,0.585,0.588,0.573,0.549,0.529,0.52,0.521,0.522,0.517,0.504,0.494,0.491,0.499,0.513,0.527,0.538,0.548,0.554,0.554,0.545,0.523,0.496,0.473,0.465,0.474,0.493,0.511,0.518,0.514,0.506,0.499,0.494,0.487,0.479,0.474,0.483,0.509,0.539,0.561,0.564,0.552,0.536,0.526,0.526,0.533,0.54,0.541,0.537,0.533,0.53,0.527,0.517,0.5,0.484,0.477,0.485,0.503,0.524,0.541,0.548,0.543,0.528,0.51,0.494,0.486,0.484,0.489,0.498,0.506,0.51,0.508,0.504,0.504,0.511,0.525,0.537,0.543,0.543,0.538,0.533,0.526,0.519,0.51,0.503,0.502,0.51,0.522,0.532,0.533,0.529,0.525,0.527,0.535,0.544,0.549,0.55,0.546,0.539,0.53,0.521,0.516,0.517,0.525,0.537,0.551,0.562,0.569,0.57,0.567,0.562,0.557,0.553,0.548,0.541,0.528,0.514,0.501,0.493,0.491,0.492,0.492,0.491,0.49,0.491,0.493,0.494,0.491,0.488,0.489,0.496,0.507,0.52,0.53,0.537,0.541,0.54,0.536,0.53,0.527,0.53,0.538,0.544,0.542,0.533,0.524,0.518,0.516,0.513,0.508,0.503,0.503,0.51,0.521,0.532,0.543,0.552,0.559,0.565,0.567,0.565,0.56,0.557,0.555,0.555,0.552,0.546,0.536,0.526,0.514,0.495,0.465,0.425,0.382,0.345,0.315,0.29,0.271,0.261,0.266,0.284,0.304,0.31,0.299,0.28,0.266,0.263,0.271,0.288,0.318,0.363,0.414,0.459,0.49,0.509,0.52,0.528,0.528,0.524,0.519,0.519,0.521,0.52,0.515,0.509,0.509,0.515,0.52,0.518,0.511,0.505,0.504,0.509,0.512,0.511,0.512,0.519,0.53,0.54,0.544,0.546,0.551,0.56,0.567,0.568,0.563,0.552,0.539,0.522,0.504,0.49,0.488,0.499,0.519,0.538,0.551,0.555,0.557,0.558,0.557,0.551,0.54,0.529,0.525,0.529,0.534,0.536,0.534,0.531,0.529,0.527,0.524,0.522,0.524,0.534,0.548,0.562,0.569,0.566,0.555,0.543,0.536,0.537,0.544,0.549,0.551,0.551,0.553,0.56,0.57,0.58,0.588,0.59,0.586,0.578,0.569,0.559,0.544,0.526,0.511,0.508,0.516,0.53,0.537,0.535,0.531,0.529,0.526,0.517,0.5,0.481,0.468,0.463,0.464,0.466,0.467,0.47,0.479,0.493,0.504,0.511,0.515,0.523,0.535,0.543,0.541,0.529,0.516,0.508,0.506,0.503,0.498,0.494,0.497,0.505,0.512,0.513,0.507,0.503,0.504,0.51,0.515,0.519,0.522,0.528,0.537,0.548,0.556,0.558,0.558,0.557,0.561,0.571,0.587,0.603,0.617,0.624,0.626,0.625,0.624,0.623,0.623,0.625,0.627,0.628,0.628,0.628,0.624,0.617,0.607,0.598,0.593,0.59,0.592,0.599,0.612,0.628,0.643,0.647,0.638,0.616,0.592,0.573,0.566,0.568,0.575,0.586,0.593,0.588,0.564,0.529,0.5,0.49,0.5,0.513,0.515,0.497,0.466,0.433,0.414,0.414,0.431,0.452,0.466,0.47,0.474,0.481,0.492,0.502,0.505,0.499,0.492,0.491,0.501,0.512,0.516,0.508,0.499,0.496,0.497,0.494,0.484,0.476,0.483,0.505,0.532,0.545,0.54,0.523,0.506,0.49,0.476,0.46,0.447,0.442,0.454,0.476,0.493,0.489,0.459,0.417,0.381,0.367,0.38,0.414,0.453,0.486,0.508,0.523,0.535,0.544,0.545,0.532,0.506,0.474,0.45,0.44,0.442,0.44,0.43,0.415,0.408,0.412,0.421,0.428,0.432,0.441,0.462,0.494,0.521,0.531,0.521,0.502,0.483,0.468,0.452,0.437,0.432,0.444,0.47,0.495,0.502,0.485,0.451,0.416,0.404,0.427,0.475,0.524,0.549,0.553,0.55,0.558,0.575,0.589,0.581,0.55,0.507,0.473,0.458,0.46,0.465,0.46,0.443,0.423,0.41,0.408,0.417,0.442,0.487,0.548,0.608,0.65,0.662,0.651,0.631,0.611,0.586,0.554,0.521,0.505,0.515,0.545,0.57,0.568,0.534,0.481,0.435,0.414,0.421,0.443,0.462,0.475,0.488,0.509,0.538,0.562,0.571,0.556,0.528,0.498,0.481,0.479,0.482,0.475,0.454,0.426,0.405,0.399,0.407,0.422,0.439,0.46,0.484,0.504,0.516,0.523,0.535,0.558,0.583,0.595,0.585,0.566,0.555,0.56,0.57,0.572,0.562,0.55,0.542,0.535,0.521,0.502,0.493,0.502,0.521,0.53,0.519,0.497,0.484,0.488,0.5,0.509,0.514,0.52,0.531,0.537,0.531,0.514,0.502,0.504,0.518,0.528,0.528,0.524,0.528,0.541,0.547,0.54,0.522,0.509,0.51,0.521,0.529,0.527,0.522,0.521,0.527,0.531,0.53,0.528,0.534,0.55,0.563,0.563,0.549,0.531,0.518,0.513,0.509,0.503,0.497,0.501,0.515,0.53,0.534,0.527,0.519,0.521,0.533,0.549,0.565,0.582,0.602,0.617,0.62,0.607,0.59,0.577,0.569,0.557,0.537,0.516,0.511,0.525,0.546,0.557,0.555,0.549,0.549,0.555,0.557,0.553,0.547,0.547,0.554,0.561,0.562,0.559,0.562,0.573,0.587,0.596,0.596,0.593,0.594,0.598,0.6,0.6,0.6,0.605,0.612,0.615,0.612,0.609,0.614,0.625,0.632,0.626,0.611,0.597,0.594,0.607,0.627,0.648,0.665,0.676,0.683,0.685,0.684,0.685,0.686,0.687,0.683,0.675,0.666,0.66,0.659,0.661,0.662,0.662,0.663,0.667,0.676,0.689,0.702,0.714,0.723,0.728,0.729,0.731,0.735,0.744,0.755,0.764,0.767,0.765,0.757,0.75,0.746,0.745,0.745,0.745,0.741,0.731,0.712,0.685,0.652,0.618,0.59,0.576,0.583,0.609,0.643,0.668,0.667,0.633,0.577,0.517,0.475,0.457,0.457,0.462,0.467,0.481,0.514,0.563,0.609,0.628,0.616,0.589,0.567,0.567,0.591,0.631,0.665,0.675,0.653,0.613,0.578,0.565,0.573,0.586,0.592,0.586,0.578,0.578,0.592,0.613,0.631,0.637,0.633,0.624,0.622,0.635,0.659,0.684,0.694,0.681,0.646,0.6,0.562,0.548,0.563,0.593,0.615,0.612,0.585,0.543,0.497,0.455,0.421,0.397,0.382,0.37,0.362,0.359,0.366,0.382,0.4,0.411,0.413,0.412,0.423,0.455,0.505,0.56,0.606,0.638,0.661,0.676,0.679,0.665,0.639,0.616,0.609,0.626,0.659,0.694,0.709,0.691,0.644,0.584,0.529,0.492,0.469,0.456,0.453,0.463,0.492,0.533,0.573,0.594,0.589,0.567,0.548,0.547,0.569,0.602,0.633,0.654,0.663,0.663,0.653,0.634,0.607,0.578,0.55,0.527,0.51,0.504,0.516,0.545,0.579,0.604,0.609,0.601,0.592,0.592,0.606,0.628,0.649,0.657,0.643,0.607,0.557,0.513,0.495,0.508,0.541,0.568,0.576,0.565,0.551,0.552,0.575,0.617,0.664,0.706,0.732,0.739,0.73,0.711,0.691,0.673,0.655,0.634,0.613,0.595,0.583,0.577,0.573,0.574,0.585,0.606,0.631,0.647,0.644,0.627,0.607,0.596,0.598,0.611,0.627,0.635,0.633,0.619,0.599,0.578,0.559,0.546,0.535,0.532,0.542,0.573,0.623,0.674,0.706,0.707,0.679,0.636,0.596,0.577,0.587,0.622,0.662,0.684,0.679,0.65,0.614,0.583,0.561,0.546,0.538,0.541,0.56,0.594,0.633,0.661,0.664,0.641,0.602,0.565,0.545,0.551,0.575,0.607,0.631,0.638,0.627,0.61,0.594,0.587,0.588,0.59,0.591,0.591,0.595,0.605,0.618,0.627,0.632,0.637,0.646,0.656,0.656,0.644,0.627,0.616,0.617,0.621,0.62,0.611,0.599,0.587,0.577,0.568,0.563,0.571,0.592,0.621,0.644,0.651,0.64,0.622,0.607,0.608,0.628,0.662,0.696,0.713,0.708,0.687,0.666,0.656,0.662,0.674,0.679,0.671,0.656,0.647,0.649,0.657,0.663,0.663,0.666,0.679,0.703,0.726,0.738,0.735,0.722,0.705,0.689,0.679,0.678,0.686,0.698,0.702,0.691,0.669,0.651,0.651,0.673,0.706,0.738,0.758,0.767,0.769,0.77,0.771,0.771,0.769,0.762,0.751,0.741,0.732,0.727,0.725,0.723,0.718,0.708,0.692,0.675,0.659,0.64,0.607,0.557,0.499,0.442,0.397,0.361,0.332,0.31,0.304,0.317,0.346,0.375,0.388,0.378,0.347,0.311,0.287,0.29,0.331,0.405,0.494,0.571,0.613,0.618,0.608,0.604,0.614,0.62,0.601,0.548,0.474,0.397,0.337,0.297,0.274,0.261,0.252,0.246,0.245,0.253,0.28,0.338,0.428,0.538,0.638,0.704,0.729,0.725,0.707,0.681,0.642,0.584,0.507,0.425,0.355,0.306,0.279,0.268,0.263,0.259,0.256,0.257,0.269,0.305,0.368,0.447,0.514,0.548,0.552,0.551,0.561,0.576,0.574,0.539,0.48,0.417,0.366,0.335,0.32,0.314,0.311,0.305,0.297,0.292,0.3,0.33,0.39,0.475,0.565,0.641,0.691,0.719,0.736,0.747,0.755,0.758,0.757,0.752,0.748,0.746,0.747,0.751,0.756,0.761,0.767,0.774,0.783,0.79,0.794,0.791,0.783,0.771,0.758,0.747,0.739,0.736,0.735,0.731,0.713,0.676,0.614,0.533,0.447,0.371,0.319,0.29,0.277,0.275,0.281,0.303,0.349,0.425,0.521,0.616,0.688,0.726,0.737,0.737,0.738,0.739,0.732,0.701,0.637,0.543,0.435,0.338,0.267,0.225,0.206,0.2,0.205,0.224,0.268,0.345,0.448,0.557,0.649,0.709,0.739,0.747,0.746,0.743,0.744,0.75,0.758,0.764,0.764,0.761,0.755,0.752,0.748,0.744,0.741,0.742,0.744,0.741,0.727,0.696,0.653,0.61,0.585,0.592,0.631,0.677,0.704,0.691,0.64,0.568,0.496,0.437,0.397,0.37,0.351,0.339,0.336,0.341,0.348,0.346,0.33,0.299,0.265,0.235,0.213,0.199,0.188,0.181,0.175,0.169,0.162,0.155,0.147,0.142,0.141,0.143,0.148,0.152,0.158,0.167,0.178,0.189,0.195,0.193,0.184,0.171,0.159,0.148,0.139,0.13,0.122,0.117,0.115,0.116,0.118,0.122,0.129,0.138,0.146,0.15,0.151,0.151,0.152,0.156,0.161,0.164,0.162,0.154,0.143,0.129,0.117,0.108,0.103,0.103,0.104,0.107,0.11,0.113,0.115,0.114,0.112,0.11,0.11,0.114,0.126,0.143,0.162,0.181,0.193,0.197,0.193,0.18,0.163,0.146,0.129,0.115,0.103,0.093,0.083,0.074,0.067,0.061,0.055,0.05,0.045,0.042,0.038,0.035,0.032,0.03,0.027,0.025,0.023,0.021,0.019,0.017,0.016,0.014,0.013,0.012,0.012]