[0.078,0.089,0.109,0.126,0.132,0.125,0.106,0.085,0.067,0.055,0.05,0.058,0.088,0.145,0.221,0.285,0.308,0.282,0.227,0.17,0.127,0.102,0.087,0.082,0.08,0.079,0.074,0.065,0.055,0.05,0.051,0.055,0.058,0.059,0.058,0.058,0.058,0.057,0.054,0.05,0.045,0.04,0.038,0.039,0.045,0.056,0.072,0.088,0.098,0.098,0.087,0.072,0.059,0.052,0.054,0.072,0.11,0.161,0.207,0.23,0.222,0.192,0.155,0.125,0.104,0.089,0.081,0.076,0.073,0.071,0.068,0.068,0.072,0.076,0.079,0.077,0.073,0.072,0.077,0.089,0.104,0.116,0.119,0.113,0.102,0.093,0.09,0.095,0.106,0.12,0.132,0.138,0.136,0.13,0.123,0.119,0.119,0.125,0.136,0.158,0.191,0.23,0.258,0.26,0.236,0.198,0.161,0.133,0.116,0.106,0.1,0.096,0.092,0.087,0.082,0.08,0.085,0.097,0.113,0.126,0.134,0.135,0.13,0.121,0.11,0.1,0.092,0.086,0.082,0.079,0.078,0.078,0.079,0.077,0.074,0.07,0.066,0.066,0.069,0.073,0.075,0.076,0.08,0.096,0.128,0.168,0.201,0.212,0.198,0.174,0.152,0.139,0.131,0.125,0.119,0.117,0.12,0.124,0.126,0.124,0.12,0.114,0.109,0.105,0.102,0.103,0.106,0.111,0.115,0.116,0.111,0.102,0.092,0.082,0.074,0.069,0.071,0.082,0.103,0.131,0.157,0.174,0.18,0.177,0.17,0.165,0.166,0.177,0.202,0.237,0.271,0.286,0.276,0.244,0.206,0.171,0.143,0.121,0.107,0.1,0.1,0.097,0.086,0.069,0.051,0.043,0.052,0.074,0.107,0.14,0.166,0.177,0.172,0.152,0.12,0.084,0.053,0.032,0.025,0.029,0.04,0.056,0.072,0.085,0.089,0.082,0.071,0.061,0.057,0.061,0.071,0.093,0.132,0.187,0.245,0.287,0.298,0.28,0.25,0.223,0.207,0.199,0.195,0.192,0.189,0.184,0.171,0.148,0.118,0.09,0.07,0.06,0.056,0.054,0.054,0.054,0.054,0.054,0.053,0.054,0.062,0.081,0.111,0.146,0.175,0.193,0.203,0.209,0.211,0.207,0.202,0.2,0.204,0.211,0.215,0.212,0.21,0.22,0.245,0.278,0.299,0.293,0.261,0.217,0.176,0.146,0.127,0.116,0.113,0.113,0.111,0.103,0.09,0.073,0.059,0.051,0.048,0.053,0.065,0.088,0.116,0.14,0.154,0.156,0.152,0.151,0.156,0.164,0.171,0.172,0.168,0.164,0.16,0.157,0.154,0.15,0.145,0.14,0.132,0.123,0.118,0.127,0.158,0.205,0.25,0.273,0.269,0.246,0.22,0.199,0.183,0.171,0.159,0.147,0.134,0.117,0.1,0.086,0.082,0.089,0.103,0.118,0.13,0.137,0.142,0.147,0.153,0.158,0.162,0.163,0.158,0.147,0.132,0.12,0.118,0.126,0.14,0.147,0.142,0.126,0.107,0.093,0.087,0.088,0.094,0.112,0.15,0.211,0.287,0.355,0.396,0.402,0.383,0.352,0.319,0.288,0.26,0.235,0.211,0.186,0.159,0.136,0.122,0.121,0.131,0.144,0.155,0.164,0.173,0.182,0.189,0.191,0.19,0.186,0.184,0.18,0.174,0.163,0.152,0.148,0.153,0.161,0.164,0.156,0.14,0.126,0.118,0.117,0.12,0.13,0.154,0.197,0.256,0.313,0.35,0.357,0.341,0.315,0.289,0.267,0.25,0.24,0.236,0.233,0.226,0.218,0.211,0.21,0.215,0.222,0.225,0.223,0.217,0.21,0.207,0.209,0.212,0.212,0.207,0.199,0.189,0.177,0.167,0.163,0.166,0.175,0.181,0.178,0.162,0.136,0.106,0.078,0.059,0.056,0.073,0.117,0.187,0.271,0.344,0.386,0.392,0.371,0.34,0.311,0.287,0.268,0.253,0.243,0.238,0.234,0.227,0.208,0.174,0.129,0.087,0.055,0.039,0.032,0.03,0.029,0.029,0.032,0.039,0.056,0.085,0.122,0.162,0.195,0.215,0.22,0.212,0.193,0.172,0.161,0.167,0.186,0.204,0.211,0.209,0.213,0.24,0.291,0.349,0.393,0.407,0.393,0.362,0.327,0.292,0.262,0.238,0.218,0.198,0.175,0.149,0.124,0.105,0.093,0.085,0.082,0.083,0.092,0.11,0.137,0.164,0.186,0.198,0.2,0.193,0.18,0.169,0.167,0.178,0.194,0.207,0.213,0.222,0.25,0.307,0.38,0.45,0.497,0.519,0.524,0.52,0.516,0.511,0.504,0.491,0.47,0.442,0.41,0.374,0.336,0.298,0.264,0.235,0.207,0.18,0.156,0.138,0.129,0.127,0.128,0.129,0.133,0.138,0.144,0.145,0.141,0.138,0.14,0.151,0.162,0.166,0.157,0.142,0.132,0.137,0.16,0.194,0.239,0.292,0.349,0.4,0.44,0.465,0.48,0.49,0.499,0.504,0.502,0.487,0.461,0.425,0.387,0.347,0.306,0.267,0.232,0.201,0.172,0.141,0.112,0.09,0.08,0.083,0.092,0.1,0.103,0.103,0.101,0.1,0.105,0.118,0.137,0.158,0.176,0.19,0.202,0.214,0.226,0.232,0.231,0.228,0.236,0.267,0.324,0.39,0.448,0.486,0.508,0.518,0.521,0.513,0.489,0.446,0.387,0.323,0.266,0.225,0.197,0.176,0.161,0.15,0.142,0.133,0.119,0.102,0.085,0.074,0.068,0.065,0.065,0.064,0.064,0.063,0.063,0.064,0.064,0.065,0.065,0.065,0.065,0.07,0.083,0.109,0.145,0.183,0.211,0.223,0.217,0.199,0.181,0.173,0.179,0.203,0.244,0.301,0.366,0.417,0.437,0.42,0.379,0.331,0.29,0.257,0.233,0.214,0.198,0.184,0.167,0.149,0.132,0.12,0.113,0.11,0.108,0.107,0.106,0.102,0.098,0.092,0.086,0.079,0.072,0.069,0.069,0.073,0.083,0.098,0.118,0.14,0.158,0.171,0.179,0.185,0.186,0.179,0.165,0.154,0.163,0.2,0.263,0.331,0.376,0.385,0.364,0.329,0.296,0.269,0.247,0.234,0.228,0.227,0.221,0.203,0.176,0.15,0.132,0.124,0.123,0.125,0.134,0.161,0.202,0.243,0.258,0.237,0.194,0.154,0.129,0.119,0.118,0.12,0.128,0.141,0.155,0.165,0.174,0.185,0.202,0.219,0.226,0.222,0.219,0.234,0.273,0.322,0.356,0.357,0.33,0.293,0.265,0.247,0.237,0.231,0.23,0.23,0.226,0.213,0.193,0.177,0.17,0.172,0.173,0.17,0.168,0.181,0.215,0.257,0.279,0.263,0.214,0.157,0.115,0.095,0.091,0.097,0.111,0.128,0.144,0.149,0.144,0.137,0.14,0.154,0.171,0.176,0.169,0.168,0.192,0.247,0.315,0.367,0.384,0.368,0.335,0.302,0.277,0.263,0.259,0.26,0.26,0.252,0.234,0.208,0.176,0.142,0.108,0.08,0.068,0.079,0.119,0.181,0.242,0.275,0.272,0.243,0.209,0.185,0.172,0.164,0.157,0.155,0.16,0.166,0.17,0.17,0.169,0.169,0.169,0.167,0.169,0.183,0.216,0.265,0.316,0.346,0.34,0.304,0.258,0.216,0.186,0.167,0.158,0.16,0.171,0.186,0.199,0.204,0.202,0.195,0.186,0.177,0.171,0.171,0.185,0.215,0.25,0.267,0.255,0.22,0.185,0.163,0.157,0.16,0.169,0.183,0.197,0.206,0.205,0.193,0.176,0.159,0.143,0.131,0.124,0.129,0.158,0.218,0.304,0.393,0.458,0.481,0.47,0.44,0.405,0.374,0.35,0.333,0.322,0.312,0.298,0.28,0.259,0.237,0.215,0.193,0.175,0.167,0.181,0.218,0.268,0.304,0.303,0.267,0.216,0.174,0.146,0.131,0.126,0.134,0.153,0.173,0.177,0.16,0.132,0.108,0.097,0.098,0.112,0.141,0.189,0.255,0.326,0.382,0.409,0.407,0.385,0.359,0.337,0.322,0.311,0.304,0.298,0.292,0.277,0.251,0.214,0.178,0.152,0.141,0.142,0.151,0.171,0.207,0.258,0.305,0.321,0.296,0.248,0.202,0.175,0.165,0.159,0.153,0.148,0.147,0.144,0.134,0.116,0.102,0.106,0.128,0.157,0.182,0.202,0.233,0.286,0.361,0.432,0.478,0.489,0.475,0.45,0.426,0.406,0.392,0.38,0.365,0.338,0.295,0.239,0.18,0.13,0.094,0.072,0.064,0.073,0.108,0.168,0.236,0.278,0.271,0.22,0.156,0.107,0.086,0.092,0.115,0.152,0.196,0.238,0.266,0.274,0.264,0.243,0.219,0.202,0.199,0.215,0.254,0.312,0.377,0.428,0.447,0.43,0.392,0.351,0.315,0.286,0.263,0.247,0.235,0.223,0.206,0.186,0.173,0.174,0.185,0.198,0.207,0.216,0.235,0.271,0.312,0.334,0.317,0.26,0.189,0.131,0.101,0.095,0.104,0.121,0.14,0.16,0.18,0.209,0.256,0.325,0.401,0.467,0.512,0.541,0.561,0.577,0.588,0.59,0.579,0.554,0.52,0.485,0.453,0.424,0.393,0.362,0.328,0.292,0.252,0.209,0.169,0.139,0.123,0.117,0.112,0.104,0.095,0.091,0.097,0.114,0.135,0.155,0.168,0.175,0.177,0.176,0.172,0.169,0.169,0.175,0.187,0.203,0.219,0.232,0.241,0.245,0.244,0.24,0.242,0.263,0.305,0.358,0.399,0.411,0.396,0.369,0.343,0.324,0.31,0.298,0.287,0.276,0.264,0.25,0.23,0.206,0.181,0.158,0.14,0.126,0.114,0.109,0.112,0.122,0.136,0.147,0.151,0.147,0.141,0.135,0.13,0.127,0.127,0.127,0.127,0.126,0.127,0.134,0.149,0.169,0.193,0.219,0.249,0.287,0.336,0.396,0.456,0.5,0.521,0.521,0.507,0.484,0.455,0.419,0.377,0.329,0.276,0.218,0.164,0.124,0.105,0.104,0.114,0.129,0.147,0.163,0.168,0.162,0.149,0.14,0.139,0.143,0.148,0.151,0.149,0.143,0.134,0.126,0.12,0.116,0.113,0.113,0.12,0.132,0.145,0.152,0.159,0.176,0.216,0.273,0.328,0.353,0.339,0.295,0.244,0.201,0.169,0.146,0.125,0.105,0.084,0.066,0.051,0.04,0.033,0.027,0.021,0.017,0.016,0.021,0.037,0.064,0.096,0.126,0.146,0.157,0.161,0.163,0.167,0.174,0.185,0.203,0.226,0.255,0.283,0.304,0.313,0.305,0.283,0.252,0.227,0.226,0.268,0.35,0.452,0.538,0.584,0.588,0.566,0.533,0.501,0.472,0.445,0.415,0.373,0.315,0.248,0.189,0.155,0.15,0.16,0.169,0.171,0.173,0.19,0.228,0.271,0.288,0.263,0.205,0.146,0.104,0.085,0.081,0.089,0.113,0.154,0.204,0.247,0.272,0.276,0.266,0.253,0.241,0.237,0.245,0.275,0.329,0.395,0.45,0.477,0.471,0.449,0.426,0.41,0.398,0.389,0.378,0.363,0.34,0.31,0.278,0.25,0.232,0.223,0.219,0.218,0.224,0.247,0.288,0.337,0.367,0.359,0.316,0.262,0.218,0.195,0.191,0.202,0.225,0.256,0.285,0.299,0.294,0.275,0.255,0.246,0.248,0.257,0.27,0.294,0.34,0.408,0.481,0.535,0.557,0.554,0.539,0.523,0.509,0.493,0.471,0.44,0.396,0.341,0.288,0.248,0.229,0.222,0.216,0.207,0.202,0.213,0.251,0.306,0.352,0.364,0.338,0.294,0.254,0.231,0.222,0.219,0.221,0.224,0.221,0.207,0.182,0.153,0.133,0.126,0.13,0.138,0.151,0.177,0.227,0.305,0.394,0.467,0.504,0.508,0.495,0.481,0.472,0.466,0.457,0.439,0.405,0.355,0.3,0.252,0.223,0.212,0.21,0.206,0.203,0.216,0.256,0.315,0.362,0.369,0.335,0.283,0.242,0.219,0.208,0.199,0.195,0.199,0.212,0.228,0.256,0.306,0.385,0.478,0.563,0.621,0.652,0.663,0.667,0.669,0.673,0.672,0.663,0.646,0.628,0.613,0.602,0.589,0.567,0.531,0.472,0.389,0.29,0.192,0.117,0.07,0.049,0.043,0.051,0.082,0.145,0.236,0.327,0.38,0.376,0.329,0.274,0.235,0.217,0.211,0.214,0.224,0.24,0.256,0.264,0.262,0.253,0.244,0.237,0.233,0.233,0.244,0.28,0.341,0.415,0.475,0.502,0.495,0.473,0.45,0.434,0.422,0.411,0.394,0.364,0.313,0.243,0.168,0.104,0.062,0.041,0.034,0.039,0.061,0.113,0.193,0.284,0.349,0.369,0.346,0.307,0.272,0.25,0.236,0.229,0.231,0.241,0.253,0.257,0.254,0.247,0.242,0.239,0.235,0.231,0.236,0.265,0.326,0.416,0.507,0.575,0.606,0.612,0.608,0.606,0.607,0.603,0.584,0.537,0.457,0.36,0.273,0.217,0.193,0.188,0.184,0.174,0.166,0.18,0.225,0.286,0.329,0.329,0.292,0.249,0.221,0.207,0.201,0.199,0.204,0.215,0.226,0.23,0.224,0.206,0.182,0.155,0.133,0.124,0.137,0.182,0.265,0.377,0.488,0.568,0.599,0.591,0.568,0.545,0.529,0.513,0.486,0.439,0.372,0.299,0.236,0.193,0.164,0.141,0.118,0.096,0.081,0.077,0.086,0.107,0.134,0.16,0.181,0.197,0.21,0.221,0.228,0.232,0.232,0.226,0.216,0.206,0.197,0.194,0.196,0.204,0.212,0.22,0.23,0.255,0.305,0.374,0.438,0.469,0.461,0.432,0.405,0.393,0.393,0.395,0.386,0.365,0.335,0.305,0.283,0.267,0.255,0.241,0.228,0.221,0.222,0.231,0.239,0.238,0.224,0.199,0.167,0.135,0.11,0.097,0.098,0.11,0.124,0.132,0.13,0.119,0.107,0.098,0.095,0.096,0.096,0.096,0.103,0.135,0.206,0.316,0.439,0.54,0.596,0.61,0.598,0.578,0.558,0.536,0.508,0.467,0.411,0.345,0.28,0.226,0.187,0.162,0.147,0.138,0.134,0.132,0.128,0.121,0.11,0.093,0.074,0.055,0.04,0.029,0.022,0.019,0.021,0.026,0.031,0.034,0.035,0.038,0.045,0.056,0.069,0.081,0.099,0.137,0.21,0.316,0.434,0.534,0.593,0.614,0.613,0.606,0.599,0.589,0.565,0.515,0.438,0.345,0.253,0.177,0.124,0.086,0.059,0.041,0.034,0.041,0.067,0.109,0.16,0.205,0.231,0.229,0.201,0.155,0.106,0.07,0.058,0.072,0.106,0.146,0.179,0.199,0.205,0.204,0.199,0.196,0.2,0.221,0.263,0.317,0.353,0.342,0.281,0.195,0.121,0.075,0.055,0.053,0.063,0.086,0.119,0.154,0.18,0.19,0.185,0.17,0.157,0.152,0.156,0.161,0.162,0.156,0.146,0.136,0.129,0.127,0.131,0.138,0.141,0.139,0.134,0.131,0.13,0.129,0.125,0.117,0.108,0.101,0.1,0.108,0.129,0.17,0.24,0.341,0.458,0.564,0.634,0.66,0.658,0.646,0.635,0.628,0.618,0.597,0.555,0.493,0.425,0.366,0.328,0.306,0.291,0.275,0.258,0.25,0.267,0.311,0.361,0.383,0.361,0.308,0.254,0.216,0.197,0.187,0.185,0.19,0.201,0.21,0.208,0.196,0.184,0.182,0.192,0.208,0.219,0.23,0.258,0.319,0.413,0.514,0.596,0.643,0.661,0.662,0.659,0.652,0.64,0.614,0.564,0.482,0.376,0.267,0.179,0.122,0.094,0.082,0.081,0.092,0.128,0.193,0.272,0.332,0.347,0.317,0.267,0.221,0.188,0.167,0.155,0.159,0.176,0.197,0.205,0.191,0.162,0.137,0.128,0.137,0.155,0.176,0.208,0.264,0.351,0.449,0.534,0.586,0.606,0.607,0.605,0.603,0.602,0.596,0.576,0.532,0.464,0.384,0.314,0.271,0.258,0.266,0.28,0.292,0.308,0.335,0.367,0.38,0.352,0.283,0.2,0.133,0.095,0.083,0.087,0.109,0.151,0.209,0.265,0.301,0.302,0.273,0.229,0.19,0.171,0.181,0.223,0.299,0.401,0.508,0.594,0.642,0.655,0.65,0.643,0.641,0.641,0.634,0.608,0.554,0.472,0.379,0.296,0.237,0.2,0.177,0.159,0.151,0.163,0.203,0.264,0.314,0.325,0.294,0.244,0.204,0.184,0.179,0.177,0.179,0.185,0.199,0.219,0.254,0.315,0.409,0.52,0.621,0.689,0.725,0.737,0.737,0.729,0.718,0.706,0.693,0.681,0.673,0.668,0.666,0.661,0.645,0.603,0.529,0.428,0.319,0.229,0.172,0.145,0.133,0.126,0.116,0.104,0.093,0.083,0.078,0.078,0.085,0.098,0.111,0.121,0.127,0.128,0.127,0.126,0.125,0.124,0.124,0.125,0.128,0.132,0.136,0.14,0.152,0.182,0.244,0.341,0.46,0.573,0.654,0.695,0.707,0.704,0.698,0.69,0.67,0.624,0.542,0.426,0.303,0.202,0.143,0.123,0.122,0.124,0.12,0.109,0.095,0.081,0.069,0.061,0.057,0.054,0.052,0.051,0.049,0.049,0.05,0.053,0.06,0.075,0.101,0.138,0.179,0.217,0.239,0.242,0.229,0.217,0.235,0.302,0.414,0.54,0.644,0.706,0.733,0.74,0.74,0.738,0.728,0.697,0.631,0.53,0.413,0.309,0.237,0.198,0.18,0.167,0.152,0.132,0.115,0.106,0.109,0.12,0.131,0.135,0.132,0.125,0.115,0.106,0.097,0.09,0.086,0.086,0.093,0.11,0.137,0.171,0.202,0.219,0.22,0.217,0.237,0.306,0.427,0.569,0.688,0.753,0.77,0.761,0.744,0.725,0.699,0.654,0.58,0.476,0.357,0.247,0.167,0.122,0.104,0.102,0.109,0.125,0.144,0.163,0.174,0.176,0.174,0.173,0.175,0.178,0.176,0.169,0.16,0.153,0.152,0.153,0.149,0.138,0.119,0.097,0.078,0.067,0.066,0.082,0.129,0.223,0.362,0.52,0.659,0.751,0.795,0.806,0.8,0.782,0.751,0.698,0.614,0.495,0.358,0.23,0.137,0.088,0.073,0.077,0.086,0.096,0.108,0.121,0.132,0.14,0.14,0.134,0.122,0.111,0.104,0.105,0.113,0.124,0.131,0.127,0.112,0.093,0.084,0.091,0.11,0.131,0.147,0.164,0.202,0.279,0.397,0.532,0.651,0.728,0.762,0.768,0.763,0.755,0.743,0.718,0.664,0.57,0.443,0.311,0.206,0.145,0.124,0.123,0.127,0.13,0.129,0.125,0.119,0.115,0.116,0.124,0.139,0.155,0.165,0.165,0.159,0.151,0.142,0.129,0.112,0.095,0.087,0.096,0.116,0.139,0.156,0.168,0.192,0.248,0.343,0.466,0.585,0.675,0.726,0.75,0.761,0.766,0.765,0.75,0.704,0.619,0.495,0.356,0.232,0.143,0.091,0.067,0.057,0.054,0.052,0.053,0.053,0.054,0.055,0.054,0.053,0.057,0.069,0.09,0.117,0.14,0.152,0.15,0.136,0.119,0.103,0.091,0.081,0.071,0.06,0.054,0.065,0.108,0.181,0.261,0.307,0.299,0.243,0.176,0.126,0.102,0.097,0.099,0.102,0.101,0.095,0.085,0.072,0.058,0.045,0.033,0.025,0.022,0.024,0.036,0.058,0.09,0.124,0.151,0.165,0.168,0.165,0.163,0.164,0.169,0.177,0.186,0.196,0.204,0.21,0.211,0.209,0.206,0.204,0.204,0.216,0.252,0.326,0.437,0.56,0.666,0.735,0.769,0.783,0.789,0.792,0.788,0.768,0.715,0.624,0.504,0.381,0.282,0.218,0.183,0.162,0.149,0.148,0.174,0.23,0.301,0.346,0.337,0.276,0.198,0.135,0.103,0.095,0.102,0.123,0.153,0.182,0.193,0.183,0.162,0.154,0.168,0.199,0.233,0.267,0.311,0.377,0.466,0.56,0.635,0.676,0.691,0.694,0.696,0.7,0.7,0.688,0.651,0.58,0.48,0.37,0.275,0.209,0.172,0.153,0.144,0.147,0.175,0.234,0.314,0.381,0.406,0.382,0.333,0.289,0.263,0.252,0.248,0.251,0.26,0.272,0.275,0.265,0.244,0.224,0.211,0.207,0.209,0.222,0.256,0.323,0.426,0.548,0.664,0.75,0.801,0.822,0.827,0.826,0.82,0.803,0.758,0.671,0.545,0.406,0.285,0.202,0.155,0.134,0.125,0.131,0.161,0.224,0.307,0.376,0.394,0.354,0.28,0.211,0.168,0.152,0.157,0.175,0.2,0.224,0.235,0.227,0.205,0.179,0.158,0.144,0.139,0.145,0.176,0.244,0.353,0.482,0.6,0.683,0.726,0.743,0.747,0.744,0.729,0.693,0.626,0.526,0.405,0.289,0.202,0.156,0.143,0.145,0.15,0.151,0.152,0.153,0.157,0.165,0.174,0.182,0.187,0.191,0.193,0.193,0.195,0.197,0.201,0.205,0.209,0.21,0.209,0.205,0.199,0.191,0.181,0.169,0.152,0.129,0.099,0.067,0.039,0.019,0.007,0.003,0.001,0.001]