[0.002,0.004,0.009,0.019,0.032,0.047,0.06,0.068,0.072,0.073,0.072,0.072,0.074,0.081,0.093,0.105,0.111,0.109,0.1,0.088,0.077,0.069,0.067,0.074,0.093,0.125,0.163,0.197,0.22,0.23,0.23,0.228,0.226,0.225,0.223,0.215,0.2,0.176,0.147,0.122,0.103,0.092,0.087,0.087,0.091,0.101,0.114,0.126,0.131,0.131,0.127,0.123,0.119,0.115,0.114,0.116,0.119,0.117,0.107,0.089,0.072,0.06,0.055,0.054,0.059,0.071,0.094,0.125,0.157,0.182,0.194,0.195,0.187,0.177,0.167,0.158,0.151,0.143,0.131,0.116,0.101,0.09,0.086,0.086,0.087,0.087,0.088,0.09,0.092,0.093,0.091,0.086,0.079,0.072,0.068,0.07,0.079,0.092,0.103,0.105,0.098,0.085,0.072,0.062,0.056,0.056,0.068,0.094,0.134,0.176,0.211,0.229,0.232,0.227,0.22,0.214,0.21,0.204,0.194,0.177,0.154,0.132,0.114,0.102,0.095,0.09,0.088,0.089,0.096,0.106,0.114,0.116,0.112,0.105,0.097,0.092,0.092,0.097,0.106,0.114,0.117,0.115,0.109,0.102,0.098,0.096,0.095,0.101,0.116,0.142,0.173,0.201,0.219,0.226,0.224,0.219,0.213,0.206,0.197,0.183,0.165,0.142,0.119,0.102,0.092,0.089,0.088,0.089,0.092,0.099,0.109,0.12,0.128,0.132,0.136,0.139,0.142,0.145,0.149,0.155,0.16,0.158,0.147,0.128,0.108,0.093,0.083,0.081,0.09,0.117,0.162,0.218,0.27,0.301,0.311,0.304,0.291,0.277,0.268,0.262,0.257,0.248,0.233,0.212,0.19,0.171,0.156,0.145,0.138,0.138,0.147,0.162,0.175,0.18,0.175,0.166,0.158,0.152,0.145,0.141,0.144,0.153,0.162,0.161,0.15,0.137,0.129,0.128,0.13,0.132,0.141,0.163,0.196,0.23,0.255,0.265,0.263,0.255,0.247,0.242,0.241,0.24,0.235,0.221,0.198,0.172,0.152,0.141,0.139,0.138,0.137,0.134,0.132,0.13,0.127,0.123,0.12,0.121,0.124,0.128,0.134,0.142,0.15,0.154,0.15,0.138,0.123,0.109,0.099,0.093,0.093,0.106,0.136,0.182,0.233,0.275,0.298,0.304,0.297,0.284,0.269,0.255,0.243,0.234,0.223,0.208,0.189,0.172,0.158,0.148,0.137,0.127,0.122,0.126,0.134,0.142,0.144,0.14,0.136,0.133,0.131,0.13,0.131,0.132,0.136,0.14,0.144,0.148,0.154,0.158,0.157,0.154,0.152,0.161,0.184,0.215,0.244,0.261,0.264,0.257,0.245,0.234,0.226,0.219,0.213,0.201,0.181,0.157,0.134,0.12,0.116,0.125,0.158,0.228,0.34,0.473,0.587,0.644,0.632,0.572,0.499,0.443,0.417,0.414,0.414,0.399,0.364,0.317,0.281,0.278,0.311,0.366,0.421,0.46,0.482,0.495,0.509,0.533,0.565,0.601,0.628,0.631,0.602,0.546,0.483,0.428,0.381,0.336,0.294,0.269,0.275,0.312,0.367,0.425,0.484,0.543,0.591,0.609,0.587,0.535,0.479,0.437,0.41,0.391,0.373,0.351,0.324,0.285,0.239,0.203,0.197,0.23,0.289,0.351,0.392,0.411,0.417,0.426,0.443,0.472,0.512,0.557,0.591,0.597,0.569,0.522,0.478,0.453,0.444,0.444,0.449,0.459,0.475,0.493,0.513,0.54,0.583,0.637,0.679,0.681,0.633,0.554,0.478,0.432,0.418,0.423,0.428,0.418,0.386,0.339,0.294,0.274,0.288,0.326,0.364,0.381,0.38,0.376,0.387,0.411,0.442,0.479,0.522,0.564,0.587,0.574,0.532,0.48,0.434,0.394,0.353,0.316,0.297,0.305,0.336,0.38,0.431,0.492,0.562,0.625,0.661,0.659,0.622,0.564,0.497,0.432,0.377,0.337,0.307,0.276,0.239,0.203,0.191,0.218,0.284,0.371,0.449,0.499,0.512,0.494,0.462,0.437,0.441,0.483,0.545,0.589,0.586,0.539,0.478,0.434,0.413,0.403,0.394,0.387,0.386,0.393,0.408,0.436,0.482,0.55,0.622,0.667,0.66,0.605,0.528,0.464,0.429,0.421,0.424,0.423,0.405,0.368,0.323,0.288,0.283,0.314,0.369,0.425,0.466,0.487,0.495,0.494,0.49,0.492,0.51,0.543,0.576,0.583,0.554,0.501,0.443,0.388,0.337,0.293,0.267,0.274,0.312,0.367,0.424,0.481,0.541,0.597,0.629,0.618,0.569,0.507,0.457,0.427,0.411,0.395,0.374,0.344,0.303,0.257,0.22,0.213,0.244,0.303,0.363,0.403,0.418,0.416,0.406,0.395,0.392,0.41,0.454,0.511,0.551,0.551,0.518,0.477,0.448,0.435,0.435,0.441,0.453,0.47,0.488,0.506,0.531,0.571,0.627,0.677,0.699,0.68,0.629,0.568,0.514,0.477,0.457,0.444,0.426,0.392,0.343,0.294,0.269,0.279,0.315,0.353,0.372,0.371,0.367,0.373,0.393,0.425,0.469,0.522,0.569,0.59,0.57,0.521,0.467,0.426,0.393,0.359,0.325,0.306,0.313,0.342,0.384,0.433,0.489,0.549,0.595,0.609,0.587,0.547,0.51,0.484,0.464,0.442,0.415,0.382,0.343,0.298,0.26,0.247,0.278,0.352,0.448,0.535,0.589,0.605,0.598,0.589,0.592,0.608,0.627,0.638,0.638,0.631,0.624,0.626,0.641,0.665,0.685,0.692,0.686,0.671,0.654,0.637,0.623,0.624,0.646,0.681,0.705,0.694,0.645,0.579,0.518,0.472,0.437,0.412,0.402,0.414,0.443,0.474,0.492,0.495,0.492,0.494,0.503,0.512,0.51,0.495,0.477,0.465,0.47,0.492,0.523,0.549,0.551,0.528,0.493,0.469,0.468,0.48,0.49,0.484,0.462,0.429,0.396,0.377,0.386,0.432,0.5,0.556,0.569,0.539,0.49,0.453,0.438,0.44,0.447,0.452,0.454,0.449,0.433,0.411,0.392,0.384,0.388,0.397,0.401,0.397,0.393,0.4,0.424,0.464,0.517,0.572,0.612,0.618,0.588,0.536,0.494,0.478,0.485,0.495,0.496,0.485,0.464,0.439,0.416,0.41,0.44,0.507,0.59,0.649,0.661,0.635,0.601,0.583,0.584,0.587,0.581,0.565,0.549,0.536,0.522,0.504,0.479,0.454,0.433,0.419,0.412,0.414,0.422,0.432,0.446,0.471,0.514,0.566,0.6,0.596,0.557,0.508,0.477,0.47,0.479,0.49,0.493,0.482,0.459,0.434,0.427,0.45,0.501,0.554,0.577,0.557,0.506,0.45,0.405,0.374,0.354,0.348,0.359,0.385,0.416,0.444,0.466,0.482,0.489,0.489,0.479,0.467,0.46,0.461,0.465,0.47,0.482,0.512,0.56,0.604,0.621,0.608,0.587,0.587,0.618,0.662,0.691,0.685,0.651,0.607,0.577,0.559,0.534,0.484,0.408,0.324,0.254,0.205,0.174,0.152,0.137,0.127,0.124,0.128,0.133,0.134,0.128,0.116,0.103,0.093,0.086,0.083,0.085,0.101,0.134,0.18,0.229,0.266,0.286,0.29,0.282,0.271,0.26,0.251,0.243,0.231,0.213,0.187,0.159,0.132,0.113,0.101,0.097,0.102,0.115,0.136,0.156,0.169,0.173,0.169,0.16,0.15,0.139,0.131,0.13,0.135,0.14,0.136,0.121,0.1,0.083,0.071,0.068,0.072,0.087,0.113,0.15,0.189,0.225,0.251,0.266,0.272,0.274,0.271,0.263,0.246,0.22,0.185,0.148,0.118,0.102,0.099,0.104,0.111,0.115,0.117,0.117,0.116,0.114,0.109,0.103,0.096,0.089,0.085,0.087,0.094,0.105,0.114,0.116,0.108,0.096,0.086,0.082,0.081,0.082,0.089,0.107,0.139,0.18,0.216,0.241,0.254,0.257,0.257,0.254,0.251,0.246,0.238,0.222,0.197,0.168,0.141,0.122,0.111,0.106,0.107,0.112,0.123,0.134,0.143,0.145,0.141,0.136,0.133,0.133,0.136,0.143,0.153,0.163,0.168,0.166,0.157,0.146,0.138,0.132,0.129,0.131,0.144,0.172,0.213,0.258,0.305,0.355,0.409,0.461,0.499,0.515,0.511,0.501,0.496,0.504,0.522,0.544,0.557,0.557,0.548,0.541,0.55,0.579,0.627,0.68,0.72,0.74,0.745,0.748,0.756,0.767,0.778,0.784,0.785,0.784,0.784,0.786,0.79,0.795,0.801,0.805,0.807,0.806,0.803,0.8,0.796,0.794,0.791,0.784,0.77,0.751,0.733,0.723,0.727,0.74,0.756,0.767,0.771,0.767,0.759,0.752,0.752,0.759,0.764,0.757,0.731,0.698,0.675,0.672,0.684,0.698,0.702,0.692,0.675,0.656,0.636,0.614,0.59,0.568,0.553,0.547,0.548,0.552,0.559,0.566,0.571,0.57,0.569,0.578,0.605,0.638,0.656,0.641,0.598,0.548,0.508,0.478,0.45,0.42,0.399,0.394,0.407,0.429,0.448,0.459,0.461,0.459,0.458,0.46,0.464,0.47,0.474,0.476,0.473,0.46,0.435,0.396,0.346,0.297,0.265,0.265,0.298,0.352,0.408,0.451,0.478,0.492,0.498,0.496,0.489,0.48,0.471,0.463,0.457,0.453,0.449,0.439,0.419,0.388,0.356,0.337,0.342,0.368,0.403,0.431,0.446,0.446,0.432,0.407,0.379,0.353,0.336,0.327,0.32,0.311,0.296,0.274,0.248,0.221,0.201,0.201,0.228,0.281,0.343,0.396,0.428,0.445,0.459,0.484,0.524,0.574,0.622,0.656,0.67,0.667,0.659,0.653,0.655,0.666,0.679,0.687,0.685,0.674,0.661,0.647,0.637,0.636,0.653,0.683,0.709,0.71,0.675,0.616,0.551,0.499,0.465,0.446,0.435,0.419,0.389,0.347,0.308,0.291,0.308,0.35,0.401,0.442,0.466,0.475,0.473,0.47,0.477,0.505,0.55,0.594,0.609,0.583,0.527,0.465,0.41,0.362,0.318,0.288,0.284,0.311,0.356,0.406,0.453,0.503,0.551,0.584,0.581,0.543,0.488,0.441,0.41,0.393,0.38,0.367,0.347,0.316,0.278,0.244,0.234,0.258,0.309,0.366,0.407,0.425,0.429,0.431,0.443,0.466,0.506,0.557,0.605,0.624,0.601,0.546,0.489,0.451,0.431,0.415,0.397,0.387,0.394,0.42,0.456,0.495,0.539,0.586,0.622,0.627,0.595,0.541,0.489,0.456,0.443,0.442,0.443,0.436,0.413,0.371,0.32,0.282,0.275,0.301,0.343,0.378,0.396,0.404,0.412,0.428,0.453,0.486,0.528,0.572,0.599,0.593,0.556,0.504,0.456,0.416,0.377,0.342,0.322,0.328,0.359,0.403,0.446,0.487,0.529,0.569,0.591,0.584,0.549,0.498,0.445,0.395,0.35,0.314,0.287,0.267,0.244,0.222,0.214,0.237,0.294,0.367,0.428,0.458,0.462,0.459,0.469,0.496,0.534,0.574,0.603,0.61,0.587,0.539,0.489,0.461,0.462,0.478,0.486,0.48,0.466,0.453,0.446,0.443,0.439,0.436,0.43,0.424,0.417,0.415,0.422,0.438,0.456,0.468,0.472,0.471,0.473,0.485,0.503,0.518,0.521,0.511,0.492,0.471,0.456,0.448,0.45,0.457,0.462,0.456,0.441,0.425,0.42,0.429,0.441,0.447,0.445,0.443,0.443,0.44,0.431,0.416,0.408,0.412,0.425,0.436,0.442,0.45,0.463,0.478,0.485,0.479,0.462,0.444,0.428,0.417,0.411,0.409,0.408,0.409,0.411,0.415,0.42,0.425,0.427,0.426,0.423,0.416,0.405,0.389,0.376,0.378,0.404,0.448,0.49,0.508,0.497,0.468,0.441,0.43,0.438,0.457,0.476,0.489,0.494,0.493,0.488,0.486,0.495,0.518,0.542,0.548,0.522,0.474,0.429,0.408,0.411,0.431,0.461,0.501,0.546,0.581,0.587,0.557,0.506,0.456,0.425,0.414,0.418,0.429,0.445,0.465,0.488,0.51,0.525,0.53,0.527,0.516,0.497,0.47,0.439,0.413,0.403,0.41,0.43,0.455,0.474,0.486,0.494,0.505,0.523,0.548,0.57,0.578,0.569,0.548,0.52,0.494,0.473,0.458,0.451,0.447,0.438,0.419,0.392,0.361,0.331,0.3,0.267,0.232,0.207,0.208,0.247,0.324,0.417,0.497,0.544,0.56,0.559,0.559,0.571,0.595,0.622,0.641,0.644,0.636,0.623,0.606,0.587,0.573,0.58,0.623,0.692,0.761,0.801,0.806,0.789,0.767,0.752,0.746,0.745,0.748,0.752,0.758,0.767,0.777,0.787,0.796,0.802,0.805,0.806,0.805,0.805,0.806,0.806,0.801,0.787,0.766,0.74,0.718,0.705,0.705,0.715,0.73,0.744,0.754,0.761,0.767,0.771,0.776,0.78,0.782,0.773,0.747,0.705,0.662,0.634,0.626,0.633,0.642,0.646,0.643,0.638,0.628,0.613,0.593,0.571,0.549,0.528,0.507,0.482,0.457,0.437,0.426,0.426,0.436,0.459,0.497,0.541,0.564,0.546,0.488,0.414,0.348,0.296,0.253,0.213,0.186,0.175,0.18,0.196,0.227,0.283,0.364,0.45,0.5,0.489,0.423,0.335,0.258,0.207,0.182,0.179,0.189,0.201,0.202,0.187,0.166,0.156,0.17,0.204,0.243,0.272,0.288,0.298,0.312,0.335,0.371,0.42,0.475,0.514,0.516,0.477,0.415,0.355,0.307,0.268,0.234,0.209,0.202,0.215,0.243,0.282,0.335,0.399,0.464,0.497,0.478,0.409,0.322,0.249,0.205,0.186,0.184,0.194,0.207,0.212,0.206,0.194,0.191,0.203,0.226,0.252,0.284,0.331,0.395,0.457,0.486,0.462,0.398,0.325,0.271,0.243,0.23,0.22,0.207,0.189,0.167,0.142,0.12,0.106,0.101,0.102,0.11,0.131,0.178,0.256,0.355,0.451,0.516,0.54,0.527,0.497,0.466,0.442,0.422,0.396,0.358,0.312,0.272,0.256,0.272,0.318,0.377,0.429,0.463,0.481,0.486,0.483,0.477,0.473,0.473,0.477,0.478,0.47,0.453,0.428,0.395,0.356,0.314,0.281,0.272,0.292,0.335,0.381,0.415,0.435,0.448,0.459,0.471,0.478,0.474,0.459,0.436,0.411,0.385,0.357,0.326,0.29,0.25,0.216,0.201,0.217,0.265,0.327,0.384,0.421,0.445,0.465,0.484,0.495,0.488,0.467,0.446,0.436,0.44,0.447,0.449,0.441,0.423,0.397,0.37,0.353,0.353,0.372,0.404,0.445,0.496,0.557,0.615,0.641,0.617,0.551,0.476,0.425,0.407,0.412,0.42,0.417,0.396,0.358,0.309,0.269,0.254,0.267,0.295,0.322,0.344,0.374,0.421,0.482,0.544,0.591,0.62,0.632,0.626,0.599,0.555,0.505,0.462,0.423,0.382,0.341,0.311,0.303,0.317,0.342,0.372,0.414,0.475,0.546,0.6,0.615,0.593,0.556,0.527,0.507,0.488,0.461,0.424,0.383,0.34,0.301,0.275,0.274,0.298,0.331,0.352,0.354,0.352,0.366,0.403,0.454,0.508,0.558,0.607,0.648,0.669,0.664,0.643,0.625,0.626,0.64,0.652,0.652,0.64,0.625,0.609,0.592,0.576,0.574,0.588,0.606,0.606,0.579,0.536,0.5,0.483,0.484,0.491,0.498,0.5,0.493,0.478,0.458,0.442,0.437,0.445,0.458,0.466,0.462,0.451,0.439,0.436,0.446,0.474,0.519,0.566,0.589,0.575,0.534,0.497,0.484,0.492,0.502,0.499,0.485,0.468,0.457,0.457,0.475,0.513,0.563,0.604,0.613,0.586,0.543,0.507,0.495,0.503,0.521,0.54,0.557,0.571,0.579,0.575,0.557,0.53,0.504,0.485,0.48,0.489,0.508,0.531,0.548,0.553,0.553,0.563,0.586,0.608,0.608,0.58,0.537,0.505,0.49,0.482,0.468,0.445,0.421,0.4,0.39,0.399,0.439,0.508,0.587,0.638,0.633,0.571,0.479,0.391,0.33,0.301,0.301,0.329,0.377,0.429,0.467,0.478,0.469,0.452,0.439,0.433,0.429,0.423,0.415,0.41,0.416,0.437,0.477,0.527,0.569,0.582,0.562,0.525,0.5,0.501,0.521,0.54,0.544,0.532,0.516,0.511,0.524,0.555,0.592,0.622,0.628,0.602,0.555,0.512,0.492,0.498,0.515,0.529,0.534,0.531,0.525,0.522,0.521,0.519,0.507,0.486,0.461,0.444,0.44,0.445,0.452,0.456,0.461,0.472,0.49,0.513,0.538,0.564,0.592,0.625,0.661,0.691,0.706,0.7,0.677,0.649,0.622,0.598,0.581,0.577,0.587,0.595,0.581,0.541,0.498,0.482,0.508,0.558,0.602,0.617,0.597,0.557,0.513,0.476,0.449,0.431,0.421,0.423,0.432,0.443,0.447,0.441,0.431,0.431,0.454,0.5,0.55,0.58,0.571,0.535,0.493,0.466,0.455,0.451,0.443,0.429,0.411,0.396,0.391,0.409,0.455,0.521,0.585,0.621,0.616,0.58,0.533,0.493,0.465,0.449,0.445,0.448,0.458,0.471,0.49,0.515,0.54,0.555,0.554,0.538,0.515,0.495,0.482,0.476,0.477,0.49,0.52,0.562,0.595,0.598,0.567,0.52,0.48,0.458,0.448,0.442,0.438,0.437,0.443,0.458,0.484,0.524,0.574,0.623,0.647,0.634,0.588,0.529,0.475,0.435,0.413,0.41,0.426,0.451,0.47,0.474,0.466,0.455,0.449,0.446,0.438,0.423,0.406,0.396,0.401,0.421,0.453,0.493,0.537,0.572,0.579,0.555,0.513,0.48,0.471,0.483,0.501,0.511,0.511,0.506,0.506,0.519,0.548,0.587,0.625,0.642,0.625,0.576,0.517,0.467,0.435,0.417,0.41,0.42,0.449,0.495,0.547,0.587,0.605,0.595,0.563,0.515,0.463,0.415,0.381,0.364,0.363,0.381,0.425,0.495,0.576,0.64,0.67,0.669,0.659,0.659,0.669,0.678,0.678,0.668,0.658,0.652,0.649,0.649,0.656,0.665,0.662,0.629,0.564,0.487,0.425,0.388,0.37,0.36,0.351,0.345,0.34,0.332,0.322,0.315,0.315,0.323,0.334,0.342,0.348,0.36,0.381,0.409,0.436,0.465,0.503,0.548,0.578,0.567,0.513,0.442,0.383,0.347,0.326,0.31,0.299,0.296,0.303,0.316,0.339,0.381,0.444,0.51,0.548,0.54,0.491,0.431,0.385,0.363,0.36,0.369,0.389,0.412,0.431,0.437,0.427,0.406,0.384,0.364,0.35,0.344,0.349,0.365,0.389,0.416,0.449,0.494,0.55,0.598,0.613,0.59,0.542,0.496,0.464,0.445,0.431,0.422,0.42,0.426,0.439,0.46,0.494,0.544,0.597,0.63,0.623,0.581,0.528,0.486,0.464,0.459,0.463,0.473,0.482,0.482,0.472,0.457,0.445,0.44,0.438,0.433,0.426,0.423,0.424,0.429,0.432,0.434,0.445,0.475,0.512,0.528,0.502,0.44,0.369,0.311,0.273,0.249,0.237,0.242,0.264,0.296,0.327,0.36,0.405,0.467,0.526,0.552,0.531,0.479,0.429,0.399,0.389,0.391,0.399,0.414,0.433,0.448,0.452,0.444,0.427,0.41,0.4,0.395,0.393,0.389,0.382,0.376,0.379,0.406,0.465,0.542,0.611,0.643,0.64,0.623,0.618,0.631,0.65,0.658,0.654,0.644,0.633,0.622,0.609,0.599,0.593,0.582,0.554,0.502,0.437,0.38,0.347,0.342,0.361,0.396,0.437,0.476,0.506,0.525,0.532,0.523,0.499,0.465,0.433,0.417,0.422,0.445,0.475,0.499,0.508,0.498,0.472,0.436,0.401,0.374,0.355,0.342,0.327,0.307,0.277,0.239,0.201,0.172,0.166,0.2,0.28,0.399,0.526,0.62,0.651,0.62,0.553,0.48,0.423,0.383,0.35,0.315,0.274,0.232,0.197,0.176,0.172,0.184,0.207,0.23,0.243,0.241,0.224,0.2,0.178,0.167,0.171,0.185,0.204,0.219,0.226,0.222,0.208,0.186,0.158,0.13,0.109,0.097,0.098,0.112,0.143,0.2,0.284,0.38,0.459,0.499,0.501,0.48,0.459,0.446,0.441,0.439,0.434,0.422,0.402,0.377,0.351,0.328,0.313,0.308,0.315,0.338,0.383,0.447,0.51,0.546,0.54,0.5,0.448,0.397,0.355,0.327,0.329,0.369,0.432,0.478,0.473,0.412,0.325,0.248,0.201,0.192,0.224,0.301,0.409,0.519,0.595,0.615,0.584,0.522,0.45,0.38,0.316,0.262,0.221,0.194,0.177,0.165,0.155,0.144,0.13,0.117,0.103,0.089,0.077,0.065,0.055,0.046,0.039,0.033,0.027,0.023,0.019,0.016,0.014,0.012,0.011,0.01,0.009,0.008,0.008,0.007,0.006,0.006,0.005,0.005,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001]