[0.04,0.039,0.038,0.036,0.034,0.032,0.03,0.03,0.031,0.033,0.036,0.036,0.033,0.028,0.022,0.017,0.014,0.014,0.018,0.028,0.045,0.07,0.104,0.145,0.189,0.231,0.27,0.303,0.329,0.344,0.347,0.344,0.343,0.353,0.371,0.388,0.392,0.378,0.352,0.324,0.305,0.297,0.295,0.296,0.299,0.308,0.325,0.346,0.368,0.386,0.399,0.409,0.421,0.437,0.463,0.497,0.539,0.582,0.615,0.627,0.615,0.585,0.549,0.514,0.479,0.44,0.396,0.356,0.328,0.318,0.321,0.329,0.335,0.338,0.334,0.323,0.304,0.286,0.276,0.281,0.299,0.325,0.351,0.37,0.381,0.387,0.392,0.402,0.418,0.435,0.444,0.437,0.413,0.378,0.341,0.307,0.275,0.242,0.209,0.184,0.181,0.205,0.252,0.308,0.361,0.409,0.455,0.498,0.533,0.554,0.559,0.551,0.537,0.52,0.501,0.485,0.474,0.471,0.477,0.486,0.491,0.486,0.471,0.45,0.426,0.402,0.379,0.36,0.349,0.348,0.353,0.357,0.356,0.349,0.337,0.32,0.297,0.269,0.246,0.236,0.241,0.252,0.261,0.263,0.26,0.257,0.254,0.251,0.243,0.231,0.217,0.208,0.208,0.215,0.227,0.239,0.254,0.271,0.289,0.301,0.304,0.297,0.281,0.258,0.231,0.201,0.169,0.139,0.11,0.083,0.06,0.043,0.031,0.025,0.026,0.037,0.063,0.108,0.168,0.233,0.292,0.333,0.354,0.357,0.349,0.343,0.343,0.35,0.359,0.366,0.369,0.371,0.375,0.381,0.387,0.389,0.385,0.375,0.365,0.36,0.368,0.389,0.42,0.455,0.484,0.499,0.498,0.49,0.483,0.487,0.502,0.522,0.533,0.524,0.491,0.445,0.401,0.37,0.357,0.363,0.385,0.421,0.464,0.5,0.512,0.485,0.422,0.345,0.28,0.244,0.239,0.252,0.275,0.302,0.332,0.363,0.388,0.399,0.396,0.381,0.365,0.353,0.347,0.343,0.334,0.319,0.3,0.279,0.258,0.236,0.217,0.202,0.196,0.203,0.225,0.253,0.276,0.285,0.275,0.253,0.224,0.195,0.169,0.149,0.139,0.144,0.169,0.216,0.275,0.336,0.387,0.425,0.45,0.466,0.478,0.485,0.485,0.478,0.464,0.453,0.45,0.461,0.481,0.501,0.515,0.521,0.523,0.526,0.531,0.536,0.539,0.536,0.525,0.51,0.491,0.472,0.454,0.439,0.43,0.428,0.429,0.426,0.41,0.376,0.329,0.282,0.25,0.24,0.249,0.272,0.303,0.338,0.366,0.379,0.373,0.352,0.323,0.294,0.267,0.245,0.226,0.205,0.179,0.149,0.117,0.09,0.068,0.051,0.04,0.036,0.043,0.069,0.122,0.204,0.306,0.414,0.513,0.593,0.647,0.678,0.692,0.694,0.683,0.652,0.597,0.522,0.442,0.378,0.343,0.34,0.362,0.394,0.422,0.438,0.447,0.462,0.495,0.544,0.595,0.636,0.665,0.681,0.677,0.647,0.596,0.545,0.516,0.516,0.535,0.551,0.552,0.539,0.519,0.502,0.492,0.487,0.483,0.475,0.458,0.432,0.4,0.366,0.336,0.319,0.317,0.33,0.351,0.372,0.389,0.405,0.423,0.442,0.458,0.465,0.461,0.45,0.438,0.434,0.438,0.442,0.437,0.416,0.379,0.336,0.296,0.268,0.259,0.267,0.287,0.31,0.33,0.345,0.358,0.368,0.373,0.368,0.349,0.319,0.285,0.259,0.254,0.272,0.309,0.351,0.382,0.394,0.389,0.377,0.369,0.37,0.382,0.404,0.431,0.454,0.47,0.479,0.485,0.489,0.488,0.482,0.471,0.455,0.431,0.396,0.354,0.316,0.287,0.266,0.248,0.231,0.216,0.209,0.209,0.213,0.215,0.213,0.211,0.215,0.226,0.245,0.268,0.291,0.308,0.314,0.308,0.295,0.28,0.265,0.246,0.223,0.193,0.162,0.129,0.098,0.071,0.05,0.038,0.037,0.05,0.077,0.121,0.178,0.24,0.294,0.327,0.337,0.329,0.313,0.29,0.262,0.23,0.204,0.192,0.199,0.221,0.252,0.284,0.315,0.341,0.363,0.382,0.399,0.415,0.428,0.439,0.444,0.443,0.434,0.418,0.401,0.388,0.373,0.351,0.316,0.274,0.236,0.212,0.205,0.209,0.217,0.228,0.239,0.25,0.254,0.248,0.23,0.21,0.2,0.209,0.239,0.282,0.324,0.355,0.367,0.366,0.357,0.349,0.344,0.343,0.344,0.348,0.354,0.36,0.36,0.348,0.318,0.272,0.217,0.166,0.133,0.122,0.132,0.152,0.173,0.186,0.195,0.204,0.218,0.237,0.257,0.27,0.27,0.255,0.229,0.204,0.19,0.194,0.209,0.228,0.243,0.255,0.263,0.269,0.271,0.27,0.269,0.27,0.276,0.286,0.3,0.317,0.334,0.349,0.356,0.355,0.348,0.341,0.337,0.335,0.334,0.332,0.333,0.339,0.349,0.36,0.366,0.365,0.353,0.331,0.296,0.251,0.203,0.164,0.142,0.138,0.147,0.163,0.181,0.197,0.207,0.208,0.202,0.192,0.183,0.174,0.163,0.147,0.128,0.106,0.086,0.066,0.048,0.033,0.021,0.014,0.01,0.008,0.007,0.006,0.007,0.011,0.022,0.046,0.085,0.137,0.2,0.264,0.325,0.376,0.414,0.436,0.441,0.434,0.426,0.427,0.435,0.441,0.43,0.398,0.354,0.313,0.286,0.277,0.281,0.292,0.301,0.307,0.309,0.306,0.3,0.292,0.282,0.271,0.26,0.252,0.247,0.247,0.252,0.26,0.266,0.267,0.266,0.269,0.28,0.298,0.318,0.335,0.348,0.357,0.364,0.369,0.37,0.361,0.338,0.303,0.266,0.24,0.232,0.238,0.248,0.256,0.261,0.268,0.279,0.295,0.312,0.327,0.336,0.342,0.344,0.344,0.339,0.331,0.322,0.314,0.306,0.298,0.297,0.314,0.354,0.408,0.461,0.497,0.513,0.513,0.502,0.489,0.474,0.46,0.444,0.425,0.401,0.377,0.358,0.349,0.351,0.362,0.379,0.397,0.412,0.42,0.422,0.421,0.415,0.406,0.391,0.375,0.359,0.348,0.341,0.336,0.33,0.322,0.319,0.322,0.332,0.341,0.34,0.326,0.303,0.276,0.252,0.232,0.222,0.218,0.219,0.218,0.218,0.226,0.247,0.279,0.312,0.334,0.339,0.33,0.312,0.295,0.28,0.267,0.25,0.226,0.196,0.162,0.128,0.095,0.067,0.045,0.03,0.022,0.018,0.02,0.034,0.062,0.108,0.167,0.231,0.29,0.336,0.368,0.385,0.389,0.383,0.37,0.352,0.332,0.31,0.29,0.274,0.264,0.26,0.258,0.257,0.256,0.261,0.274,0.297,0.322,0.342,0.354,0.359,0.365,0.376,0.391,0.405,0.417,0.426,0.436,0.445,0.449,0.447,0.436,0.411,0.372,0.325,0.28,0.246,0.226,0.218,0.216,0.217,0.221,0.223,0.221,0.214,0.207,0.209,0.224,0.251,0.286,0.324,0.365,0.407,0.446,0.475,0.486,0.476,0.45,0.424,0.41,0.41,0.416,0.419,0.413,0.399,0.383,0.368,0.353,0.336,0.314,0.291,0.274,0.268,0.271,0.274,0.268,0.253,0.233,0.212,0.191,0.169,0.15,0.141,0.149,0.178,0.221,0.272,0.322,0.364,0.396,0.421,0.441,0.458,0.474,0.492,0.513,0.537,0.556,0.567,0.569,0.566,0.564,0.564,0.563,0.556,0.545,0.533,0.522,0.513,0.506,0.499,0.498,0.501,0.504,0.497,0.47,0.422,0.361,0.3,0.253,0.231,0.238,0.266,0.302,0.332,0.349,0.357,0.359,0.358,0.351,0.335,0.309,0.275,0.238,0.202,0.168,0.135,0.105,0.077,0.056,0.041,0.034,0.036,0.053,0.093,0.162,0.254,0.355,0.458,0.553,0.639,0.707,0.751,0.768,0.767,0.752,0.72,0.662,0.579,0.488,0.417,0.381,0.38,0.403,0.438,0.476,0.514,0.546,0.57,0.583,0.588,0.588,0.591,0.598,0.607,0.612,0.61,0.605,0.604,0.607,0.608,0.6,0.58,0.551,0.52,0.494,0.474,0.462,0.455,0.454,0.464,0.482,0.498,0.495,0.468,0.425,0.384,0.362,0.365,0.388,0.421,0.454,0.479,0.496,0.503,0.5,0.49,0.475,0.457,0.435,0.408,0.375,0.341,0.312,0.285,0.258,0.225,0.194,0.177,0.189,0.235,0.305,0.377,0.433,0.464,0.474,0.47,0.456,0.434,0.404,0.373,0.35,0.335,0.328,0.324,0.323,0.324,0.328,0.329,0.324,0.311,0.297,0.286,0.283,0.285,0.287,0.287,0.285,0.286,0.29,0.296,0.3,0.3,0.296,0.293,0.294,0.3,0.308,0.315,0.319,0.32,0.323,0.326,0.328,0.322,0.306,0.283,0.261,0.248,0.247,0.254,0.265,0.273,0.275,0.269,0.255,0.236,0.216,0.197,0.178,0.157,0.134,0.11,0.086,0.064,0.046,0.033,0.025,0.025,0.038,0.069,0.121,0.191,0.267,0.34,0.405,0.462,0.51,0.544,0.559,0.557,0.54,0.516,0.486,0.454,0.42,0.389,0.36,0.335,0.318,0.312,0.321,0.344,0.378,0.419,0.458,0.487,0.5,0.496,0.481,0.464,0.454,0.455,0.462,0.462,0.445,0.405,0.349,0.295,0.26,0.253,0.272,0.303,0.33,0.343,0.339,0.317,0.282,0.239,0.2,0.179,0.179,0.198,0.226,0.253,0.275,0.289,0.298,0.304,0.31,0.316,0.32,0.32,0.316,0.311,0.305,0.3,0.292,0.281,0.271,0.263,0.256,0.25,0.244,0.241,0.243,0.254,0.272,0.289,0.298,0.294,0.277,0.251,0.222,0.193,0.169,0.152,0.145,0.148,0.163,0.186,0.214,0.24,0.263,0.279,0.289,0.294,0.297,0.299,0.301,0.303,0.304,0.306,0.312,0.321,0.331,0.338,0.341,0.342,0.343,0.344,0.345,0.345,0.347,0.348,0.344,0.33,0.311,0.294,0.285,0.282,0.282,0.28,0.271,0.252,0.222,0.192,0.171,0.166,0.175,0.191,0.206,0.216,0.218,0.213,0.203,0.195,0.193,0.196,0.199,0.199,0.196,0.195,0.197,0.197,0.188,0.166,0.135,0.101,0.073,0.052,0.039,0.031,0.027,0.024,0.022,0.02,0.018,0.017,0.019,0.027,0.046,0.077,0.12,0.169,0.217,0.258,0.286,0.3,0.303,0.302,0.306,0.317,0.327,0.327,0.311,0.282,0.249,0.225,0.214,0.217,0.225,0.234,0.241,0.244,0.243,0.237,0.23,0.226,0.227,0.232,0.239,0.247,0.259,0.274,0.288,0.296,0.297,0.289,0.278,0.265,0.253,0.243,0.237,0.238,0.248,0.265,0.286,0.305,0.317,0.321,0.321,0.317,0.308,0.291,0.27,0.252,0.242,0.242,0.247,0.254,0.262,0.272,0.284,0.295,0.302,0.304,0.3,0.295,0.289,0.281,0.266,0.238,0.2,0.157,0.119,0.093,0.087,0.108,0.157,0.229,0.307,0.369,0.403,0.407,0.392,0.372,0.362,0.365,0.379,0.398,0.418,0.434,0.444,0.444,0.439,0.435,0.436,0.441,0.445,0.446,0.442,0.438,0.433,0.428,0.423,0.417,0.408,0.397,0.388,0.385,0.387,0.385,0.37,0.336,0.287,0.24,0.21,0.2,0.206,0.216,0.224,0.23,0.234,0.233,0.227,0.216,0.208,0.209,0.225,0.248,0.27,0.282,0.285,0.28,0.277,0.278,0.284,0.293,0.301,0.308,0.309,0.301,0.284,0.254,0.215,0.17,0.124,0.085,0.056,0.037,0.027,0.027,0.039,0.068,0.116,0.178,0.242,0.293,0.322,0.332,0.333,0.337,0.346,0.357,0.36,0.349,0.325,0.293,0.265,0.249,0.246,0.254,0.262,0.264,0.26,0.254,0.251,0.253,0.257,0.262,0.265,0.271,0.279,0.29,0.302,0.316,0.33,0.343,0.355,0.364,0.372,0.38,0.387,0.39,0.384,0.372,0.36,0.35,0.341,0.336,0.336,0.343,0.351,0.347,0.327,0.294,0.263,0.245,0.245,0.256,0.268,0.278,0.289,0.304,0.323,0.342,0.355,0.359,0.356,0.351,0.346,0.345,0.344,0.34,0.329,0.307,0.273,0.231,0.186,0.147,0.125,0.126,0.156,0.208,0.273,0.333,0.375,0.39,0.382,0.363,0.342,0.324,0.306,0.284,0.258,0.239,0.239,0.264,0.312,0.368,0.416,0.445,0.456,0.46,0.467,0.477,0.482,0.477,0.468,0.462,0.465,0.475,0.49,0.506,0.523,0.537,0.544,0.542,0.532,0.519,0.505,0.491,0.478,0.466,0.457,0.456,0.461,0.473,0.491,0.513,0.532,0.535,0.513,0.467,0.412,0.369,0.348,0.353,0.375,0.401,0.425,0.44,0.444,0.436,0.418,0.39,0.356,0.32,0.283,0.243,0.2,0.154,0.112,0.078,0.054,0.041,0.038,0.047,0.073,0.118,0.185,0.266,0.354,0.436,0.505,0.558,0.597,0.62,0.628,0.618,0.584,0.527,0.451,0.371,0.305,0.27,0.267,0.286,0.312,0.334,0.346,0.35,0.353,0.36,0.373,0.394,0.417,0.441,0.46,0.474,0.482,0.487,0.492,0.503,0.525,0.554,0.575,0.57,0.53,0.465,0.398,0.349,0.327,0.326,0.334,0.342,0.342,0.333,0.318,0.302,0.288,0.28,0.28,0.29,0.31,0.339,0.373,0.405,0.429,0.444,0.451,0.453,0.449,0.436,0.411,0.376,0.334,0.292,0.254,0.22,0.191,0.165,0.148,0.15,0.179,0.235,0.305,0.372,0.422,0.452,0.464,0.456,0.428,0.381,0.326,0.276,0.243,0.235,0.247,0.268,0.286,0.299,0.308,0.318,0.33,0.343,0.351,0.353,0.348,0.335,0.317,0.299,0.283,0.27,0.254,0.233,0.209,0.187,0.172,0.166,0.17,0.181,0.195,0.209,0.221,0.233,0.244,0.253,0.257,0.257,0.253,0.249,0.248,0.249,0.252,0.256,0.26,0.264,0.264,0.26,0.253,0.247,0.242,0.239,0.234,0.225,0.211,0.192,0.167,0.137,0.105,0.075,0.049,0.031,0.022,0.022,0.033,0.058,0.098,0.15,0.205,0.259,0.304,0.341,0.367,0.379,0.373,0.348,0.306,0.257,0.213,0.185,0.178,0.19,0.215,0.246,0.277,0.306,0.332,0.352,0.368,0.38,0.389,0.393,0.392,0.388,0.386,0.389,0.395,0.396,0.393,0.388,0.387,0.385,0.378,0.36,0.335,0.308,0.284,0.265,0.252,0.243,0.239,0.24,0.243,0.242,0.229,0.205,0.18,0.165,0.168,0.184,0.204,0.224,0.238,0.245,0.244,0.235,0.221,0.208,0.203,0.206,0.217,0.231,0.243,0.246,0.237,0.217,0.188,0.156,0.127,0.105,0.095,0.101,0.125,0.166,0.216,0.265,0.303,0.328,0.342,0.351,0.356,0.358,0.353,0.341,0.321,0.298,0.276,0.262,0.26,0.267,0.277,0.284,0.286,0.284,0.282,0.281,0.28,0.279,0.276,0.272,0.268,0.266,0.269,0.28,0.297,0.314,0.324,0.325,0.32,0.314,0.313,0.314,0.312,0.305,0.293,0.28,0.269,0.259,0.253,0.248,0.246,0.246,0.248,0.25,0.25,0.249,0.246,0.244,0.244,0.244,0.246,0.25,0.257,0.267,0.274,0.276,0.269,0.258,0.244,0.232,0.222,0.21,0.195,0.178,0.163,0.15,0.139,0.126,0.109,0.089,0.068,0.049,0.034,0.023,0.015,0.011,0.008,0.007,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.006,0.008,0.014,0.024,0.042,0.068,0.101,0.139,0.174,0.202,0.221,0.232,0.241,0.256,0.284,0.322,0.36,0.38,0.373,0.341,0.296,0.258,0.237,0.229,0.229,0.228,0.227,0.232,0.247,0.272,0.303,0.331,0.351,0.359,0.36,0.357,0.355,0.356,0.362,0.374,0.387,0.397,0.398,0.388,0.369,0.347,0.332,0.336,0.36,0.401,0.447,0.489,0.52,0.539,0.541,0.522,0.479,0.419,0.356,0.306,0.277,0.265,0.263,0.267,0.276,0.29,0.307,0.322,0.33,0.328,0.319,0.307,0.293,0.277,0.255,0.225,0.191,0.16,0.141,0.137,0.147,0.169,0.204,0.255,0.321,0.397,0.468,0.517,0.529,0.505,0.461,0.418,0.386,0.364,0.342,0.319,0.301,0.295,0.304,0.32,0.331,0.331,0.321,0.309,0.304,0.308,0.315,0.32,0.319,0.314,0.307,0.301,0.294,0.283,0.269,0.25,0.229,0.209,0.195,0.191,0.198,0.214,0.234,0.253,0.27,0.288,0.308,0.33,0.348,0.361,0.369,0.376,0.383,0.389,0.392,0.391,0.388,0.384,0.381,0.378,0.372,0.36,0.342,0.318,0.291,0.264,0.239,0.216,0.191,0.16,0.124,0.088,0.058,0.038,0.026,0.02,0.021,0.031,0.054,0.094,0.146,0.2,0.247,0.278,0.297,0.31,0.323,0.338,0.355,0.371,0.382,0.384,0.376,0.36,0.338,0.312,0.284,0.259,0.24,0.229,0.226,0.23,0.237,0.244,0.251,0.258,0.266,0.275,0.283,0.29,0.295,0.301,0.304,0.302,0.292,0.275,0.254,0.233,0.213,0.196,0.188,0.191,0.203,0.218,0.229,0.231,0.226,0.216,0.206,0.196,0.187,0.181,0.183,0.199,0.226,0.258,0.29,0.316,0.333,0.338,0.333,0.321,0.309,0.303,0.306,0.317,0.331,0.34,0.336,0.316,0.282,0.241,0.198,0.159,0.125,0.101,0.092,0.104,0.139,0.188,0.24,0.279,0.299,0.299,0.289,0.272,0.25,0.223,0.194,0.174,0.175,0.201,0.246,0.3,0.352,0.397,0.434,0.464,0.489,0.508,0.523,0.533,0.538,0.544,0.555,0.573,0.59,0.6,0.597,0.582,0.559,0.533,0.51,0.496,0.493,0.497,0.497,0.491,0.48,0.472,0.471,0.479,0.492,0.504,0.508,0.496,0.465,0.416,0.358,0.306,0.273,0.26,0.264,0.274,0.282,0.286,0.289,0.29,0.291,0.288,0.282,0.27,0.252,0.225,0.191,0.154,0.118,0.088,0.065,0.048,0.037,0.034,0.042,0.066,0.108,0.165,0.229,0.291,0.344,0.387,0.426,0.464,0.495,0.512,0.505,0.476,0.433,0.385,0.346,0.324,0.32,0.33,0.346,0.364,0.383,0.408,0.436,0.463,0.482,0.491,0.493,0.491,0.489,0.486,0.477,0.46,0.432,0.397,0.357,0.315,0.274,0.242,0.225,0.23,0.252,0.281,0.303,0.313,0.314,0.317,0.325,0.338,0.347,0.346,0.336,0.329,0.334,0.355,0.385,0.413,0.43,0.433,0.428,0.419,0.411,0.404,0.395,0.385,0.374,0.365,0.352,0.332,0.3,0.259,0.214,0.174,0.149,0.148,0.178,0.235,0.309,0.383,0.445,0.487,0.509,0.515,0.513,0.505,0.496,0.484,0.469,0.453,0.439,0.432,0.436,0.449,0.467,0.482,0.49,0.492,0.489,0.488,0.489,0.491,0.49,0.482,0.467,0.451,0.438,0.43,0.428,0.423,0.409,0.38,0.342,0.305,0.286,0.292,0.32,0.356,0.385,0.397,0.391,0.37,0.338,0.296,0.247,0.201,0.17,0.16,0.172,0.197,0.224,0.246,0.262,0.269,0.267,0.257,0.241,0.221,0.2,0.178,0.157,0.135,0.111,0.086,0.062,0.043,0.032,0.026,0.023,0.024,0.03,0.047,0.08,0.129,0.189,0.252,0.313,0.363,0.401,0.427,0.445,0.458,0.466,0.462,0.441,0.404,0.362,0.326,0.304,0.298,0.306,0.323,0.339,0.348,0.351,0.355,0.366,0.382,0.397,0.406,0.409,0.413,0.421,0.43,0.438,0.444,0.446,0.445,0.437,0.42,0.393,0.361,0.328,0.302,0.287,0.287,0.298,0.315,0.326,0.32,0.293,0.251,0.207,0.177,0.17,0.183,0.207,0.236,0.265,0.294,0.319,0.337,0.345,0.344,0.34,0.339,0.343,0.348,0.349,0.338,0.312,0.273,0.23,0.19,0.16,0.142,0.139,0.149,0.171,0.196,0.218,0.231,0.235,0.234,0.231,0.229,0.225,0.22,0.212,0.202,0.191,0.181,0.175,0.18,0.196,0.221,0.249,0.275,0.294,0.308,0.316,0.321,0.326,0.33,0.335,0.337,0.334,0.325,0.312,0.299,0.29,0.29,0.295,0.3,0.3,0.292,0.279,0.269,0.266,0.269,0.272,0.272,0.269,0.268,0.272,0.283,0.297,0.309,0.31,0.294,0.261,0.22,0.181,0.154,0.142,0.142,0.149,0.157,0.167,0.179,0.197,0.221,0.247,0.265,0.268,0.253,0.226,0.199,0.182,0.176,0.178,0.18,0.18,0.175,0.169,0.16,0.151,0.143,0.136,0.129,0.119,0.107,0.095,0.083,0.073,0.064,0.057,0.054]