[0.006,0.006,0.008,0.018,0.044,0.088,0.148,0.21,0.263,0.297,0.312,0.315,0.312,0.309,0.306,0.3,0.285,0.257,0.212,0.159,0.106,0.066,0.041,0.027,0.02,0.016,0.013,0.011,0.009,0.009,0.009,0.014,0.025,0.047,0.079,0.118,0.154,0.182,0.204,0.226,0.252,0.275,0.284,0.272,0.239,0.197,0.158,0.136,0.135,0.15,0.169,0.18,0.176,0.157,0.127,0.093,0.062,0.037,0.022,0.014,0.011,0.012,0.022,0.047,0.089,0.145,0.205,0.255,0.289,0.305,0.309,0.309,0.309,0.315,0.325,0.336,0.346,0.357,0.37,0.382,0.385,0.375,0.355,0.335,0.326,0.33,0.341,0.351,0.35,0.339,0.323,0.312,0.309,0.311,0.312,0.308,0.3,0.291,0.282,0.273,0.26,0.24,0.21,0.171,0.127,0.085,0.053,0.038,0.048,0.087,0.148,0.211,0.257,0.279,0.29,0.307,0.335,0.367,0.391,0.403,0.403,0.393,0.373,0.349,0.33,0.324,0.332,0.348,0.365,0.383,0.401,0.419,0.431,0.431,0.419,0.398,0.376,0.36,0.35,0.345,0.346,0.353,0.366,0.381,0.393,0.4,0.399,0.387,0.362,0.327,0.286,0.247,0.216,0.194,0.181,0.174,0.167,0.158,0.146,0.131,0.117,0.102,0.086,0.071,0.059,0.058,0.078,0.122,0.184,0.247,0.294,0.322,0.339,0.35,0.357,0.361,0.362,0.363,0.364,0.363,0.362,0.364,0.372,0.389,0.408,0.422,0.425,0.417,0.403,0.391,0.386,0.385,0.381,0.369,0.353,0.339,0.332,0.331,0.329,0.328,0.331,0.344,0.364,0.383,0.393,0.394,0.388,0.378,0.36,0.335,0.308,0.287,0.277,0.279,0.288,0.293,0.285,0.257,0.211,0.155,0.102,0.06,0.033,0.019,0.012,0.01,0.009,0.01,0.017,0.036,0.073,0.128,0.195,0.262,0.315,0.347,0.351,0.328,0.285,0.243,0.218,0.22,0.245,0.282,0.32,0.352,0.371,0.373,0.361,0.345,0.336,0.337,0.342,0.345,0.344,0.338,0.333,0.334,0.344,0.359,0.371,0.376,0.38,0.383,0.383,0.373,0.35,0.32,0.292,0.274,0.266,0.269,0.278,0.291,0.303,0.309,0.307,0.299,0.283,0.263,0.241,0.218,0.198,0.179,0.161,0.142,0.124,0.105,0.089,0.074,0.064,0.063,0.077,0.114,0.173,0.246,0.32,0.386,0.443,0.493,0.533,0.549,0.526,0.461,0.37,0.279,0.218,0.202,0.23,0.279,0.321,0.339,0.328,0.296,0.252,0.21,0.182,0.18,0.207,0.259,0.32,0.369,0.394,0.395,0.379,0.357,0.339,0.337,0.362,0.411,0.465,0.499,0.5,0.474,0.438,0.408,0.394,0.395,0.41,0.432,0.458,0.476,0.481,0.474,0.463,0.456,0.454,0.454,0.453,0.447,0.431,0.404,0.369,0.335,0.315,0.318,0.345,0.391,0.446,0.493,0.517,0.514,0.491,0.458,0.43,0.413,0.41,0.414,0.417,0.413,0.403,0.392,0.381,0.373,0.361,0.343,0.317,0.292,0.281,0.295,0.329,0.373,0.409,0.432,0.444,0.456,0.475,0.494,0.5,0.486,0.452,0.411,0.374,0.345,0.323,0.308,0.3,0.303,0.318,0.335,0.342,0.33,0.303,0.272,0.254,0.253,0.264,0.273,0.268,0.254,0.241,0.243,0.268,0.318,0.389,0.467,0.531,0.562,0.553,0.51,0.453,0.4,0.369,0.365,0.378,0.393,0.396,0.387,0.37,0.356,0.351,0.36,0.386,0.425,0.467,0.495,0.505,0.505,0.512,0.529,0.549,0.557,0.554,0.549,0.552,0.56,0.567,0.572,0.576,0.58,0.576,0.56,0.532,0.499,0.459,0.402,0.325,0.237,0.154,0.092,0.055,0.038,0.039,0.063,0.113,0.187,0.265,0.322,0.342,0.332,0.313,0.313,0.347,0.412,0.483,0.53,0.535,0.506,0.464,0.427,0.402,0.385,0.375,0.37,0.371,0.376,0.38,0.375,0.36,0.347,0.357,0.399,0.464,0.523,0.554,0.552,0.533,0.512,0.498,0.491,0.49,0.498,0.509,0.514,0.501,0.467,0.422,0.381,0.351,0.333,0.32,0.308,0.297,0.286,0.28,0.28,0.287,0.295,0.301,0.306,0.317,0.342,0.384,0.424,0.442,0.426,0.385,0.338,0.301,0.284,0.288,0.313,0.35,0.385,0.404,0.404,0.392,0.377,0.367,0.358,0.348,0.331,0.31,0.291,0.279,0.275,0.282,0.3,0.329,0.362,0.391,0.406,0.406,0.394,0.379,0.366,0.354,0.341,0.327,0.317,0.316,0.322,0.331,0.335,0.335,0.33,0.32,0.303,0.281,0.257,0.238,0.226,0.224,0.233,0.254,0.282,0.307,0.315,0.3,0.272,0.252,0.258,0.29,0.335,0.374,0.395,0.398,0.394,0.399,0.424,0.465,0.505,0.527,0.53,0.524,0.52,0.516,0.502,0.471,0.431,0.396,0.379,0.38,0.388,0.395,0.402,0.419,0.452,0.492,0.52,0.528,0.524,0.526,0.542,0.561,0.571,0.572,0.574,0.581,0.583,0.571,0.544,0.511,0.485,0.471,0.464,0.455,0.433,0.399,0.355,0.312,0.275,0.25,0.242,0.258,0.299,0.357,0.412,0.449,0.466,0.478,0.497,0.525,0.548,0.559,0.561,0.569,0.586,0.604,0.608,0.593,0.568,0.541,0.516,0.489,0.457,0.423,0.395,0.376,0.366,0.362,0.363,0.375,0.402,0.448,0.502,0.55,0.577,0.578,0.559,0.535,0.511,0.49,0.471,0.46,0.463,0.479,0.505,0.528,0.539,0.528,0.498,0.461,0.438,0.444,0.478,0.521,0.553,0.567,0.567,0.562,0.559,0.559,0.564,0.577,0.599,0.628,0.655,0.673,0.681,0.683,0.681,0.677,0.667,0.654,0.638,0.621,0.602,0.584,0.575,0.577,0.583,0.583,0.569,0.541,0.507,0.476,0.459,0.458,0.474,0.503,0.538,0.575,0.606,0.625,0.628,0.619,0.609,0.607,0.614,0.62,0.623,0.629,0.645,0.662,0.663,0.64,0.602,0.571,0.554,0.545,0.528,0.5,0.464,0.435,0.42,0.422,0.437,0.459,0.48,0.499,0.518,0.536,0.552,0.563,0.565,0.566,0.569,0.572,0.567,0.557,0.553,0.572,0.609,0.643,0.652,0.633,0.6,0.571,0.548,0.526,0.495,0.456,0.417,0.387,0.368,0.359,0.354,0.354,0.367,0.401,0.451,0.503,0.534,0.541,0.529,0.511,0.497,0.489,0.483,0.479,0.478,0.483,0.496,0.516,0.536,0.554,0.564,0.565,0.552,0.525,0.489,0.453,0.423,0.405,0.402,0.409,0.427,0.447,0.467,0.481,0.488,0.493,0.499,0.508,0.514,0.514,0.505,0.493,0.484,0.48,0.477,0.466,0.438,0.387,0.321,0.258,0.216,0.208,0.23,0.27,0.308,0.329,0.326,0.304,0.274,0.25,0.24,0.246,0.261,0.281,0.298,0.307,0.302,0.282,0.256,0.233,0.218,0.212,0.21,0.213,0.218,0.227,0.236,0.244,0.249,0.257,0.274,0.305,0.344,0.381,0.405,0.412,0.407,0.394,0.377,0.356,0.334,0.314,0.3,0.296,0.302,0.32,0.345,0.369,0.383,0.387,0.384,0.38,0.375,0.369,0.359,0.342,0.322,0.301,0.281,0.264,0.253,0.252,0.265,0.286,0.304,0.311,0.31,0.31,0.32,0.34,0.364,0.384,0.391,0.38,0.354,0.326,0.31,0.314,0.331,0.345,0.343,0.329,0.315,0.311,0.318,0.333,0.352,0.368,0.374,0.367,0.354,0.345,0.344,0.348,0.347,0.336,0.317,0.298,0.284,0.278,0.276,0.276,0.278,0.285,0.3,0.321,0.341,0.354,0.357,0.355,0.352,0.349,0.342,0.331,0.318,0.309,0.308,0.312,0.316,0.319,0.321,0.323,0.327,0.331,0.336,0.343,0.353,0.366,0.382,0.396,0.408,0.418,0.431,0.448,0.471,0.493,0.512,0.529,0.546,0.569,0.594,0.617,0.63,0.634,0.633,0.634,0.639,0.647,0.651,0.65,0.645,0.638,0.629,0.62,0.611,0.603,0.595,0.586,0.575,0.563,0.554,0.55,0.553,0.561,0.567,0.566,0.556,0.543,0.53,0.519,0.509,0.497,0.482,0.464,0.44,0.415,0.394,0.382,0.381,0.386,0.395,0.405,0.417,0.432,0.448,0.46,0.464,0.461,0.453,0.45,0.451,0.458,0.466,0.473,0.477,0.48,0.483,0.488,0.494,0.503,0.512,0.52,0.527,0.532,0.533,0.53,0.523,0.511,0.497,0.484,0.474,0.47,0.476,0.489,0.506,0.519,0.526,0.526,0.521,0.513,0.502,0.492,0.486,0.483,0.484,0.488,0.492,0.493,0.49,0.483,0.475,0.472,0.477,0.488,0.499,0.505,0.505,0.499,0.493,0.493,0.502,0.517,0.534,0.546,0.55,0.545,0.534,0.517,0.499,0.484,0.474,0.465,0.453,0.436,0.411,0.384,0.359,0.34,0.33,0.326,0.326,0.327,0.329,0.33,0.333,0.336,0.339,0.338,0.335,0.33,0.327,0.333,0.356,0.403,0.473,0.551,0.613,0.64,0.633,0.606,0.58,0.566,0.57,0.588,0.611,0.626,0.632,0.627,0.617,0.601,0.581,0.559,0.538,0.523,0.514,0.509,0.506,0.504,0.501,0.502,0.511,0.528,0.549,0.563,0.568,0.564,0.558,0.554,0.551,0.549,0.55,0.556,0.57,0.588,0.604,0.615,0.62,0.621,0.614,0.597,0.57,0.54,0.514,0.499,0.494,0.492,0.488,0.481,0.476,0.482,0.498,0.516,0.523,0.516,0.505,0.507,0.525,0.551,0.573,0.59,0.603,0.615,0.624,0.623,0.613,0.597,0.585,0.583,0.593,0.607,0.614,0.609,0.592,0.574,0.563,0.563,0.568,0.57,0.562,0.547,0.53,0.519,0.519,0.527,0.541,0.551,0.555,0.549,0.539,0.532,0.534,0.547,0.563,0.575,0.572,0.557,0.541,0.534,0.537,0.548,0.557,0.561,0.56,0.556,0.554,0.558,0.572,0.595,0.619,0.632,0.625,0.605,0.586,0.586,0.606,0.628,0.634,0.621,0.602,0.591,0.59,0.585,0.57,0.543,0.517,0.498,0.487,0.481,0.475,0.47,0.465,0.462,0.463,0.47,0.485,0.508,0.536,0.564,0.58,0.577,0.557,0.535,0.526,0.527,0.524,0.507,0.486,0.481,0.501,0.533,0.55,0.537,0.505,0.476,0.468,0.482,0.503,0.516,0.517,0.511,0.507,0.511,0.521,0.535,0.552,0.574,0.601,0.626,0.638,0.634,0.618,0.602,0.592,0.584,0.569,0.547,0.519,0.494,0.478,0.475,0.485,0.5,0.512,0.519,0.521,0.524,0.527,0.53,0.535,0.546,0.562,0.578,0.59,0.593,0.589,0.58,0.567,0.558,0.557,0.566,0.579,0.591,0.596,0.595,0.588,0.576,0.559,0.536,0.509,0.48,0.456,0.437,0.42,0.4,0.376,0.35,0.325,0.307,0.294,0.285,0.282,0.283,0.286,0.289,0.287,0.272,0.245,0.211,0.184,0.173,0.178,0.191,0.199,0.2,0.202,0.216,0.245,0.285,0.323,0.349,0.359,0.36,0.354,0.342,0.324,0.307,0.298,0.302,0.315,0.324,0.325,0.317,0.305,0.296,0.289,0.284,0.278,0.27,0.261,0.251,0.243,0.242,0.255,0.284,0.321,0.353,0.368,0.366,0.355,0.343,0.335,0.331,0.331,0.33,0.33,0.333,0.341,0.352,0.36,0.359,0.351,0.347,0.355,0.373,0.387,0.384,0.361,0.324,0.286,0.252,0.221,0.19,0.16,0.136,0.122,0.117,0.118,0.122,0.128,0.139,0.159,0.19,0.231,0.274,0.308,0.324,0.32,0.308,0.301,0.305,0.314,0.323,0.332,0.35,0.38,0.413,0.439,0.452,0.455,0.454,0.454,0.454,0.455,0.454,0.449,0.439,0.419,0.386,0.348,0.321,0.315,0.333,0.361,0.388,0.404,0.412,0.413,0.412,0.409,0.408,0.409,0.414,0.426,0.442,0.46,0.474,0.482,0.485,0.486,0.486,0.486,0.485,0.482,0.478,0.474,0.473,0.478,0.489,0.503,0.515,0.522,0.523,0.521,0.517,0.514,0.514,0.518,0.523,0.528,0.529,0.53,0.534,0.547,0.567,0.589,0.602,0.602,0.595,0.591,0.599,0.619,0.645,0.663,0.671,0.668,0.661,0.656,0.659,0.671,0.688,0.705,0.713,0.711,0.698,0.679,0.661,0.647,0.636,0.629,0.623,0.613,0.597,0.575,0.549,0.528,0.514,0.507,0.503,0.501,0.495,0.484,0.471,0.457,0.448,0.443,0.443,0.445,0.447,0.45,0.452,0.454,0.453,0.448,0.436,0.419,0.4,0.385,0.377,0.377,0.386,0.404,0.426,0.446,0.455,0.453,0.442,0.428,0.417,0.407,0.4,0.395,0.393,0.398,0.411,0.432,0.454,0.469,0.471,0.459,0.437,0.414,0.399,0.396,0.404,0.412,0.414,0.416,0.431,0.464,0.507,0.541,0.554,0.547,0.534,0.526,0.525,0.529,0.532,0.532,0.529,0.526,0.526,0.53,0.535,0.537,0.537,0.537,0.537,0.534,0.525,0.513,0.501,0.493,0.489,0.488,0.491,0.493,0.491,0.483,0.47,0.456,0.445,0.437,0.43,0.419,0.405,0.393,0.395,0.415,0.445,0.468,0.47,0.447,0.416,0.395,0.397,0.415,0.432,0.434,0.421,0.405,0.397,0.401,0.41,0.419,0.433,0.459,0.497,0.535,0.558,0.562,0.554,0.545,0.541,0.543,0.551,0.562,0.577,0.598,0.618,0.632,0.635,0.631,0.628,0.631,0.634,0.631,0.62,0.611,0.61,0.614,0.615,0.605,0.589,0.579,0.575,0.57,0.554,0.527,0.499,0.48,0.474,0.475,0.478,0.481,0.488,0.503,0.523,0.536,0.533,0.513,0.49,0.481,0.486,0.493,0.488,0.479,0.485,0.517,0.564,0.599,0.606,0.594,0.582,0.58,0.58,0.568,0.543,0.513,0.489,0.475,0.469,0.464,0.457,0.454,0.46,0.478,0.502,0.517,0.522,0.524,0.534,0.553,0.569,0.569,0.556,0.541,0.539,0.551,0.566,0.577,0.583,0.594,0.612,0.632,0.645,0.649,0.65,0.653,0.658,0.661,0.662,0.663,0.662,0.653,0.624,0.581,0.541,0.529,0.549,0.59,0.625,0.637,0.622,0.594,0.57,0.566,0.584,0.612,0.639,0.653,0.657,0.651,0.635,0.608,0.575,0.545,0.524,0.51,0.494,0.468,0.438,0.414,0.412,0.437,0.476,0.51,0.526,0.53,0.536,0.552,0.569,0.574,0.565,0.555,0.556,0.572,0.588,0.594,0.588,0.582,0.581,0.581,0.576,0.563,0.549,0.542,0.54,0.538,0.53,0.522,0.52,0.533,0.555,0.577,0.585,0.578,0.567,0.566,0.576,0.585,0.58,0.563,0.552,0.56,0.583,0.598,0.592,0.573,0.556,0.55,0.546,0.533,0.512,0.497,0.494,0.498,0.493,0.469,0.429,0.392,0.377,0.392,0.423,0.445,0.446,0.437,0.444,0.474,0.509,0.521,0.496,0.448,0.404,0.384,0.392,0.414,0.434,0.446,0.452,0.459,0.468,0.479,0.489,0.496,0.498,0.497,0.495,0.496,0.497,0.494,0.479,0.452,0.419,0.393,0.382,0.388,0.403,0.42,0.433,0.439,0.44,0.439,0.437,0.436,0.437,0.442,0.448,0.453,0.452,0.446,0.433,0.416,0.397,0.377,0.357,0.341,0.329,0.319,0.311,0.3,0.29,0.281,0.277,0.277,0.278,0.279,0.276,0.271,0.265,0.257,0.249,0.24,0.231,0.22,0.209,0.199,0.194,0.192,0.193,0.194,0.193,0.19,0.187,0.183,0.18,0.178,0.177,0.179,0.182,0.187,0.193,0.197,0.199,0.2,0.199,0.197,0.195,0.196,0.201,0.21,0.218,0.222,0.221,0.215,0.209,0.203,0.197,0.191,0.183,0.175,0.169,0.165,0.163,0.162,0.16,0.158,0.156,0.157,0.161,0.168,0.176,0.187,0.199,0.21,0.215,0.214,0.209,0.204,0.203,0.205,0.204,0.2,0.195,0.193,0.195,0.196,0.195,0.191,0.186,0.18,0.176,0.174,0.174,0.178,0.184,0.193,0.202,0.209,0.214,0.214,0.209,0.204,0.202,0.203,0.206,0.205,0.197,0.181,0.159,0.137,0.118,0.105,0.097,0.092,0.089,0.087,0.086,0.087,0.091,0.095,0.094,0.083,0.066,0.054,0.057,0.08,0.118,0.158,0.188,0.2,0.2,0.198,0.207,0.231,0.267,0.307,0.343,0.368,0.38,0.382,0.376,0.362,0.342,0.319,0.297,0.277,0.254,0.227,0.197,0.171,0.157,0.157,0.171,0.2,0.246,0.311,0.385,0.447,0.482,0.494,0.498,0.504,0.509,0.499,0.475,0.452,0.447,0.461,0.483,0.493,0.485,0.463,0.438,0.418,0.405,0.404,0.418,0.443,0.459,0.441,0.385,0.309,0.243,0.206,0.201,0.223,0.263,0.308,0.345,0.362,0.354,0.323,0.277,0.227,0.184,0.155,0.141,0.135,0.129,0.121,0.113,0.115,0.142,0.2,0.282,0.365,0.428,0.46,0.471,0.471,0.47,0.467,0.464,0.462,0.461,0.461,0.463,0.471,0.486,0.502,0.509,0.501,0.487,0.477,0.477,0.486,0.495,0.502,0.507,0.511,0.512,0.502,0.479,0.447,0.412,0.376,0.341,0.306,0.279,0.262,0.256,0.259,0.271,0.295,0.327,0.351,0.358,0.346,0.329,0.324,0.344,0.384,0.425,0.447,0.441,0.418,0.392,0.372,0.36,0.356,0.359,0.368,0.377,0.376,0.36,0.336,0.313,0.306,0.319,0.349,0.378,0.391,0.378,0.347,0.315,0.294,0.285,0.286,0.296,0.312,0.327,0.332,0.321,0.298,0.277,0.27,0.283,0.313,0.351,0.381,0.391,0.38,0.36,0.343,0.335,0.329,0.324,0.323,0.334,0.36,0.391,0.42,0.437,0.445,0.446,0.445,0.437,0.421,0.39,0.349,0.302,0.258,0.221,0.197,0.193,0.213,0.25,0.285,0.301,0.292,0.273,0.256,0.249,0.249,0.25,0.247,0.241,0.244,0.262,0.299,0.339,0.364,0.364,0.347,0.324,0.31,0.31,0.33,0.366,0.401,0.418,0.409,0.38,0.346,0.316,0.295,0.278,0.265,0.255,0.254,0.267,0.291,0.318,0.329,0.316,0.284,0.253,0.238,0.245,0.265,0.29,0.308,0.316,0.315,0.315,0.321,0.329,0.326,0.306,0.274,0.242,0.22,0.217,0.238,0.28,0.327,0.356,0.352,0.317,0.271,0.233,0.213,0.208,0.213,0.222,0.229,0.238,0.255,0.277,0.295,0.29,0.259,0.214,0.174,0.153,0.151,0.165,0.188,0.214,0.235,0.254,0.276,0.304,0.328,0.334,0.317,0.289,0.263,0.248,0.245,0.256,0.274,0.291,0.292,0.277,0.254,0.239,0.232,0.231,0.228,0.222,0.213,0.202,0.19,0.18,0.172,0.168,0.169,0.175,0.184,0.192,0.197,0.197,0.193,0.187,0.178,0.166,0.153,0.138,0.123,0.112,0.105,0.101,0.099,0.098,0.096,0.097,0.106,0.132,0.184,0.26,0.345,0.415,0.459,0.477,0.485,0.495,0.505,0.512,0.508,0.495,0.466,0.426,0.385,0.363,0.362,0.372,0.371,0.343,0.292,0.234,0.185,0.164,0.174,0.208,0.252,0.294,0.332,0.37,0.409,0.445,0.471,0.484,0.484,0.477,0.467,0.458,0.454,0.455,0.46,0.466,0.469,0.468,0.463,0.455,0.449,0.448,0.451,0.451,0.446,0.433,0.42,0.411,0.407,0.404,0.399,0.391,0.381,0.377,0.383,0.4,0.416,0.415,0.39,0.352,0.321,0.309,0.312,0.324,0.338,0.357,0.372,0.379,0.374,0.361,0.344,0.326,0.307,0.291,0.28,0.276,0.283,0.304,0.335,0.365,0.375,0.359,0.323,0.283,0.254,0.239,0.239,0.242,0.239,0.226,0.215,0.218,0.239,0.261,0.264,0.248,0.228,0.225,0.246,0.288,0.34,0.388,0.419,0.424,0.404,0.368,0.331,0.303,0.292,0.298,0.314,0.33,0.344,0.36,0.381,0.397,0.394,0.367,0.328,0.297,0.285,0.288,0.296,0.301,0.301,0.298,0.296,0.305,0.327,0.352,0.363,0.351,0.319,0.283,0.258,0.249,0.26,0.287,0.315,0.327,0.316,0.289,0.266,0.253,0.248,0.241,0.231,0.218,0.208,0.204,0.205,0.209,0.214,0.214,0.209,0.199,0.19,0.184,0.18,0.176,0.173,0.172,0.171,0.169,0.163,0.153,0.141,0.129,0.12,0.114,0.112,0.112,0.111,0.11,0.108,0.105,0.101,0.096,0.092,0.088,0.085,0.082,0.079,0.076,0.074,0.073,0.073]