[0.033,0.03,0.025,0.02,0.016,0.014,0.012,0.01,0.009,0.008,0.009,0.011,0.013,0.013,0.011,0.008,0.006,0.007,0.008,0.011,0.013,0.013,0.012,0.011,0.011,0.015,0.023,0.034,0.047,0.062,0.078,0.093,0.107,0.118,0.127,0.136,0.146,0.157,0.163,0.16,0.148,0.134,0.127,0.132,0.147,0.166,0.182,0.191,0.193,0.187,0.176,0.162,0.148,0.139,0.135,0.14,0.153,0.175,0.2,0.226,0.244,0.256,0.265,0.278,0.298,0.321,0.337,0.337,0.317,0.285,0.252,0.229,0.216,0.211,0.208,0.204,0.196,0.182,0.162,0.135,0.107,0.082,0.065,0.063,0.078,0.113,0.162,0.217,0.262,0.283,0.277,0.257,0.242,0.244,0.257,0.265,0.259,0.242,0.227,0.225,0.236,0.252,0.26,0.258,0.251,0.248,0.25,0.251,0.243,0.224,0.206,0.198,0.205,0.224,0.245,0.263,0.277,0.287,0.296,0.3,0.298,0.286,0.262,0.233,0.207,0.191,0.187,0.192,0.202,0.213,0.22,0.218,0.2,0.169,0.129,0.091,0.062,0.044,0.037,0.042,0.056,0.08,0.11,0.14,0.167,0.19,0.209,0.227,0.243,0.255,0.256,0.245,0.227,0.209,0.198,0.195,0.198,0.2,0.2,0.193,0.183,0.171,0.162,0.157,0.154,0.152,0.15,0.15,0.152,0.158,0.168,0.179,0.191,0.202,0.209,0.21,0.202,0.186,0.168,0.155,0.155,0.17,0.193,0.214,0.224,0.22,0.205,0.184,0.161,0.136,0.108,0.08,0.056,0.039,0.034,0.042,0.064,0.103,0.153,0.208,0.258,0.294,0.31,0.309,0.3,0.291,0.285,0.277,0.266,0.251,0.234,0.216,0.196,0.173,0.151,0.134,0.129,0.138,0.161,0.191,0.221,0.244,0.259,0.268,0.273,0.277,0.279,0.274,0.258,0.231,0.198,0.17,0.151,0.142,0.141,0.143,0.145,0.143,0.138,0.132,0.127,0.124,0.121,0.119,0.117,0.114,0.11,0.106,0.099,0.09,0.079,0.069,0.065,0.069,0.085,0.11,0.142,0.176,0.207,0.233,0.252,0.264,0.268,0.268,0.268,0.274,0.286,0.307,0.337,0.381,0.439,0.498,0.538,0.541,0.502,0.437,0.365,0.308,0.273,0.258,0.255,0.254,0.25,0.24,0.226,0.211,0.195,0.181,0.172,0.172,0.181,0.193,0.203,0.208,0.211,0.213,0.214,0.209,0.196,0.179,0.163,0.153,0.149,0.149,0.151,0.153,0.152,0.15,0.149,0.147,0.146,0.143,0.138,0.133,0.127,0.12,0.111,0.097,0.079,0.06,0.042,0.029,0.02,0.014,0.011,0.008,0.006,0.005,0.006,0.009,0.017,0.029,0.047,0.067,0.087,0.103,0.114,0.121,0.128,0.138,0.151,0.166,0.177,0.18,0.176,0.172,0.171,0.176,0.181,0.182,0.177,0.169,0.165,0.166,0.17,0.172,0.171,0.169,0.17,0.179,0.196,0.218,0.24,0.257,0.271,0.285,0.3,0.31,0.307,0.288,0.263,0.248,0.252,0.27,0.292,0.308,0.315,0.313,0.302,0.279,0.243,0.196,0.145,0.101,0.074,0.074,0.102,0.155,0.222,0.289,0.342,0.369,0.371,0.361,0.357,0.371,0.398,0.42,0.42,0.395,0.357,0.324,0.308,0.308,0.316,0.322,0.32,0.309,0.294,0.278,0.259,0.238,0.215,0.196,0.187,0.189,0.195,0.199,0.198,0.191,0.182,0.175,0.172,0.172,0.174,0.175,0.177,0.18,0.187,0.196,0.207,0.214,0.216,0.21,0.198,0.179,0.155,0.126,0.095,0.065,0.041,0.028,0.03,0.049,0.086,0.138,0.195,0.246,0.281,0.3,0.307,0.312,0.318,0.323,0.321,0.309,0.291,0.273,0.259,0.252,0.249,0.247,0.245,0.24,0.232,0.223,0.214,0.205,0.197,0.189,0.179,0.17,0.166,0.169,0.177,0.189,0.201,0.214,0.23,0.245,0.252,0.244,0.221,0.19,0.162,0.15,0.159,0.183,0.211,0.231,0.236,0.225,0.2,0.165,0.125,0.088,0.058,0.04,0.037,0.053,0.085,0.132,0.183,0.23,0.262,0.275,0.272,0.258,0.245,0.232,0.221,0.207,0.194,0.188,0.192,0.202,0.209,0.205,0.191,0.173,0.163,0.165,0.181,0.204,0.225,0.238,0.239,0.233,0.226,0.221,0.213,0.197,0.173,0.15,0.139,0.146,0.168,0.195,0.219,0.23,0.227,0.212,0.191,0.173,0.163,0.159,0.159,0.158,0.156,0.15,0.139,0.123,0.103,0.082,0.062,0.044,0.029,0.018,0.013,0.015,0.025,0.045,0.076,0.115,0.158,0.203,0.244,0.276,0.298,0.311,0.32,0.331,0.344,0.361,0.375,0.384,0.387,0.391,0.4,0.416,0.432,0.436,0.42,0.387,0.349,0.319,0.301,0.291,0.281,0.269,0.256,0.243,0.233,0.225,0.216,0.207,0.2,0.202,0.213,0.229,0.241,0.246,0.241,0.231,0.219,0.209,0.2,0.19,0.181,0.174,0.17,0.167,0.164,0.158,0.153,0.149,0.146,0.144,0.141,0.137,0.13,0.12,0.108,0.093,0.075,0.055,0.037,0.023,0.014,0.008,0.006,0.005,0.005,0.007,0.011,0.022,0.04,0.064,0.092,0.119,0.141,0.157,0.166,0.17,0.173,0.18,0.188,0.195,0.195,0.189,0.18,0.175,0.178,0.187,0.198,0.205,0.204,0.195,0.188,0.191,0.206,0.229,0.251,0.267,0.279,0.294,0.317,0.347,0.374,0.389,0.388,0.378,0.373,0.388,0.425,0.465,0.483,0.462,0.412,0.359,0.325,0.31,0.302,0.288,0.267,0.244,0.219,0.192,0.158,0.121,0.084,0.058,0.049,0.063,0.1,0.153,0.213,0.266,0.299,0.307,0.296,0.282,0.282,0.299,0.322,0.332,0.32,0.292,0.262,0.247,0.249,0.261,0.27,0.271,0.27,0.274,0.286,0.298,0.304,0.301,0.297,0.303,0.323,0.35,0.369,0.365,0.333,0.29,0.258,0.253,0.273,0.303,0.33,0.347,0.348,0.335,0.313,0.291,0.272,0.256,0.239,0.225,0.217,0.215,0.21,0.192,0.157,0.114,0.072,0.044,0.034,0.042,0.066,0.101,0.142,0.182,0.217,0.24,0.252,0.255,0.256,0.256,0.256,0.25,0.236,0.219,0.207,0.204,0.207,0.208,0.203,0.19,0.176,0.168,0.173,0.19,0.212,0.23,0.235,0.226,0.208,0.194,0.192,0.204,0.225,0.245,0.259,0.263,0.261,0.257,0.252,0.243,0.232,0.22,0.211,0.207,0.207,0.202,0.189,0.169,0.149,0.13,0.114,0.096,0.075,0.054,0.039,0.035,0.048,0.082,0.132,0.188,0.234,0.256,0.252,0.229,0.202,0.187,0.188,0.198,0.206,0.202,0.187,0.169,0.16,0.162,0.171,0.176,0.173,0.164,0.159,0.166,0.184,0.2,0.202,0.188,0.165,0.145,0.14,0.15,0.167,0.181,0.185,0.181,0.172,0.164,0.161,0.163,0.168,0.172,0.172,0.168,0.163,0.16,0.16,0.163,0.167,0.17,0.172,0.167,0.157,0.141,0.122,0.102,0.081,0.059,0.039,0.024,0.018,0.026,0.05,0.092,0.143,0.195,0.241,0.278,0.307,0.329,0.346,0.356,0.364,0.371,0.382,0.391,0.398,0.401,0.405,0.409,0.41,0.401,0.38,0.347,0.311,0.281,0.264,0.26,0.267,0.277,0.283,0.281,0.272,0.259,0.246,0.236,0.23,0.231,0.236,0.242,0.247,0.246,0.241,0.234,0.225,0.216,0.206,0.195,0.186,0.178,0.17,0.163,0.157,0.153,0.151,0.15,0.149,0.149,0.152,0.157,0.162,0.161,0.156,0.15,0.154,0.178,0.222,0.272,0.301,0.287,0.231,0.155,0.087,0.046,0.03,0.03,0.039,0.056,0.08,0.112,0.145,0.174,0.193,0.201,0.202,0.202,0.205,0.215,0.23,0.25,0.267,0.274,0.268,0.251,0.234,0.229,0.239,0.258,0.273,0.272,0.256,0.237,0.227,0.236,0.256,0.277,0.288,0.286,0.277,0.268,0.26,0.256,0.258,0.267,0.285,0.307,0.325,0.328,0.31,0.278,0.246,0.226,0.223,0.23,0.236,0.236,0.228,0.217,0.202,0.178,0.146,0.107,0.073,0.052,0.053,0.079,0.128,0.186,0.24,0.278,0.301,0.315,0.332,0.359,0.399,0.442,0.473,0.48,0.462,0.428,0.393,0.364,0.343,0.326,0.313,0.308,0.316,0.339,0.368,0.385,0.376,0.342,0.296,0.26,0.25,0.264,0.292,0.317,0.327,0.321,0.305,0.29,0.283,0.282,0.278,0.263,0.238,0.213,0.198,0.197,0.205,0.22,0.241,0.262,0.275,0.268,0.238,0.194,0.149,0.11,0.081,0.064,0.059,0.07,0.096,0.132,0.171,0.203,0.222,0.231,0.233,0.234,0.235,0.233,0.222,0.201,0.173,0.149,0.141,0.151,0.174,0.198,0.214,0.216,0.21,0.204,0.205,0.208,0.207,0.197,0.183,0.175,0.18,0.197,0.218,0.234,0.244,0.25,0.257,0.269,0.288,0.313,0.337,0.347,0.336,0.311,0.284,0.267,0.262,0.263,0.266,0.266,0.255,0.228,0.184,0.132,0.084,0.051,0.038,0.047,0.081,0.134,0.195,0.247,0.276,0.277,0.258,0.231,0.207,0.193,0.186,0.181,0.169,0.152,0.136,0.128,0.129,0.135,0.142,0.149,0.161,0.182,0.208,0.231,0.24,0.234,0.217,0.2,0.193,0.196,0.199,0.191,0.168,0.138,0.116,0.109,0.116,0.129,0.142,0.151,0.157,0.162,0.165,0.168,0.169,0.167,0.163,0.155,0.144,0.129,0.11,0.09,0.07,0.051,0.035,0.024,0.02,0.025,0.043,0.077,0.124,0.178,0.233,0.282,0.32,0.344,0.353,0.35,0.342,0.337,0.336,0.337,0.336,0.332,0.326,0.322,0.318,0.314,0.31,0.305,0.298,0.293,0.291,0.292,0.294,0.293,0.284,0.268,0.249,0.231,0.22,0.217,0.218,0.221,0.224,0.225,0.227,0.229,0.231,0.232,0.232,0.226,0.214,0.194,0.172,0.155,0.147,0.145,0.148,0.153,0.157,0.159,0.16,0.157,0.153,0.147,0.141,0.135,0.129,0.12,0.108,0.094,0.079,0.067,0.057,0.048,0.041,0.035,0.032,0.035,0.042,0.055,0.071,0.09,0.113,0.141,0.17,0.195,0.212,0.218,0.218,0.217,0.219,0.224,0.226,0.221,0.211,0.2,0.195,0.197,0.203,0.209,0.213,0.215,0.216,0.219,0.221,0.218,0.207,0.188,0.169,0.158,0.16,0.175,0.196,0.218,0.239,0.261,0.284,0.306,0.317,0.31,0.285,0.252,0.225,0.217,0.229,0.255,0.283,0.305,0.316,0.316,0.303,0.276,0.236,0.185,0.135,0.096,0.08,0.094,0.135,0.196,0.262,0.316,0.347,0.359,0.36,0.366,0.381,0.402,0.418,0.421,0.412,0.396,0.38,0.37,0.368,0.37,0.369,0.358,0.337,0.312,0.291,0.277,0.27,0.269,0.275,0.289,0.305,0.315,0.306,0.277,0.233,0.19,0.162,0.155,0.164,0.182,0.199,0.212,0.218,0.22,0.221,0.222,0.221,0.215,0.202,0.181,0.154,0.123,0.094,0.068,0.049,0.035,0.027,0.027,0.039,0.066,0.11,0.165,0.222,0.266,0.288,0.289,0.278,0.267,0.266,0.273,0.282,0.284,0.279,0.265,0.248,0.229,0.212,0.199,0.192,0.19,0.195,0.206,0.218,0.224,0.218,0.202,0.187,0.176,0.174,0.177,0.183,0.19,0.198,0.207,0.216,0.224,0.228,0.226,0.217,0.201,0.181,0.163,0.151,0.148,0.151,0.159,0.168,0.177,0.188,0.195,0.193,0.174,0.14,0.1,0.066,0.047,0.049,0.071,0.108,0.151,0.189,0.213,0.221,0.215,0.205,0.198,0.197,0.198,0.198,0.193,0.188,0.187,0.192,0.199,0.204,0.206,0.205,0.2,0.194,0.187,0.183,0.179,0.174,0.164,0.153,0.146,0.149,0.162,0.178,0.192,0.198,0.195,0.182,0.165,0.153,0.149,0.153,0.159,0.162,0.162,0.16,0.158,0.157,0.155,0.152,0.147,0.14,0.129,0.116,0.099,0.079,0.058,0.04,0.025,0.018,0.02,0.035,0.065,0.107,0.156,0.203,0.244,0.278,0.302,0.312,0.308,0.296,0.288,0.291,0.304,0.321,0.33,0.331,0.329,0.331,0.339,0.346,0.343,0.326,0.304,0.289,0.286,0.292,0.298,0.293,0.275,0.249,0.227,0.213,0.21,0.214,0.219,0.224,0.225,0.222,0.217,0.212,0.212,0.218,0.225,0.227,0.219,0.203,0.183,0.167,0.156,0.152,0.153,0.155,0.158,0.159,0.157,0.152,0.143,0.132,0.12,0.107,0.094,0.081,0.068,0.055,0.041,0.029,0.019,0.012,0.008,0.005,0.004,0.005,0.007,0.012,0.023,0.041,0.064,0.09,0.114,0.135,0.151,0.166,0.182,0.199,0.218,0.233,0.237,0.226,0.205,0.186,0.184,0.201,0.228,0.251,0.259,0.255,0.25,0.255,0.271,0.287,0.287,0.269,0.245,0.229,0.231,0.25,0.277,0.303,0.32,0.331,0.341,0.358,0.378,0.394,0.391,0.364,0.321,0.28,0.259,0.264,0.289,0.318,0.339,0.346,0.338,0.315,0.276,0.226,0.17,0.118,0.079,0.06,0.065,0.095,0.146,0.206,0.258,0.29,0.3,0.296,0.293,0.298,0.309,0.323,0.334,0.339,0.337,0.333,0.326,0.32,0.31,0.3,0.294,0.3,0.322,0.354,0.388,0.411,0.417,0.403,0.376,0.344,0.314,0.289,0.267,0.246,0.227,0.214,0.209,0.212,0.223,0.239,0.256,0.273,0.29,0.305,0.312,0.306,0.286,0.258,0.232,0.21,0.188,0.16,0.128,0.094,0.066,0.048,0.043,0.055,0.084,0.127,0.177,0.226,0.264,0.285,0.289,0.283,0.277,0.278,0.284,0.282,0.264,0.233,0.199,0.176,0.168,0.173,0.187,0.203,0.217,0.222,0.218,0.208,0.196,0.184,0.171,0.154,0.135,0.122,0.122,0.136,0.16,0.184,0.202,0.214,0.224,0.231,0.234,0.229,0.214,0.192,0.168,0.15,0.14,0.14,0.147,0.162,0.181,0.201,0.212,0.21,0.191,0.161,0.127,0.098,0.077,0.07,0.078,0.103,0.141,0.186,0.227,0.257,0.269,0.261,0.24,0.215,0.195,0.185,0.184,0.187,0.194,0.21,0.242,0.287,0.33,0.348,0.33,0.287,0.241,0.214,0.206,0.207,0.202,0.187,0.171,0.161,0.162,0.168,0.17,0.161,0.145,0.127,0.118,0.121,0.132,0.145,0.157,0.166,0.172,0.177,0.18,0.181,0.181,0.178,0.171,0.158,0.141,0.124,0.109,0.098,0.088,0.078,0.071,0.064,0.059,0.058,0.066,0.087,0.125,0.175,0.232,0.287,0.333,0.362,0.372,0.367,0.355,0.345,0.342,0.346,0.353,0.353,0.343,0.323,0.302,0.286,0.277,0.274,0.274,0.275,0.277,0.28,0.284,0.287,0.286,0.28,0.27,0.258,0.25,0.247,0.25,0.254,0.258,0.26,0.26,0.258,0.253,0.246,0.239,0.23,0.217,0.199,0.18,0.163,0.153,0.151,0.155,0.161,0.168,0.173,0.178,0.179,0.178,0.173,0.166,0.157,0.148,0.136,0.121,0.103,0.083,0.064,0.047,0.033,0.023,0.016,0.012,0.009,0.008,0.007,0.007,0.006,0.007,0.012,0.021,0.035,0.056,0.081,0.106,0.127,0.141,0.148,0.152,0.157,0.164,0.171,0.171,0.165,0.154,0.148,0.152,0.166,0.182,0.194,0.201,0.207,0.219,0.238,0.258,0.27,0.267,0.25,0.226,0.205,0.196,0.205,0.228,0.256,0.278,0.289,0.292,0.294,0.3,0.308,0.312,0.308,0.299,0.291,0.289,0.293,0.301,0.305,0.304,0.293,0.272,0.24,0.199,0.151,0.104,0.066,0.046,0.05,0.082,0.144,0.233,0.341,0.45,0.543,0.594,0.597,0.559,0.506,0.458,0.427,0.407,0.39,0.369,0.347,0.324,0.3,0.275,0.248,0.227,0.222,0.239,0.274,0.309,0.326,0.315,0.286,0.258,0.247,0.261,0.295,0.338,0.374,0.389,0.377,0.345,0.309,0.281,0.267,0.265,0.266,0.262,0.251,0.238,0.23,0.232,0.242,0.251,0.246,0.22,0.177,0.127,0.082,0.05,0.031,0.025,0.031,0.051,0.084,0.127,0.172,0.212,0.243,0.263,0.276,0.281,0.281,0.273,0.259,0.243,0.231,0.224,0.224,0.226,0.229,0.228,0.22,0.206,0.192,0.184,0.184,0.188,0.188,0.18,0.167,0.158,0.16,0.172,0.186,0.196,0.201,0.202,0.199,0.195,0.19,0.187,0.185,0.183,0.181,0.18,0.181,0.184,0.186,0.185,0.18,0.167,0.147,0.121,0.092,0.066,0.044,0.03,0.023,0.029,0.051,0.089,0.136,0.185,0.224,0.249,0.259,0.257,0.248,0.238,0.228,0.22,0.208,0.193,0.179,0.177,0.191,0.212,0.226,0.222,0.202,0.181,0.17,0.172,0.177,0.175,0.162,0.147,0.142,0.155,0.183,0.213,0.23,0.228,0.211,0.188,0.169,0.16,0.159,0.163,0.167,0.167,0.165,0.163,0.16,0.156,0.152,0.147,0.142,0.137,0.133,0.127,0.117,0.102,0.083,0.063,0.044,0.028,0.018,0.013,0.018,0.034,0.063,0.104,0.15,0.195,0.235,0.271,0.302,0.329,0.348,0.358,0.36,0.359,0.357,0.355,0.353,0.349,0.342,0.333,0.325,0.32,0.319,0.319,0.318,0.314,0.309,0.305,0.304,0.304,0.301,0.289,0.268,0.243,0.221,0.209,0.207,0.211,0.218,0.225,0.232,0.24,0.247,0.25,0.248,0.241,0.231,0.219,0.203,0.187,0.173,0.167,0.169,0.174,0.179,0.182,0.182,0.179,0.174,0.169,0.163,0.157,0.151,0.144,0.137,0.126,0.111,0.092,0.072,0.053,0.037,0.025,0.017,0.012,0.009,0.009,0.012,0.02,0.034,0.053,0.078,0.104,0.128,0.15,0.168,0.183,0.197,0.212,0.228,0.243,0.25,0.246,0.231,0.214,0.209,0.224,0.254,0.289,0.315,0.325,0.321,0.31,0.297,0.288,0.284,0.282,0.281,0.281,0.285,0.295,0.312,0.331,0.344,0.348,0.343,0.335,0.335,0.345,0.363,0.377,0.377,0.36,0.336,0.317,0.309,0.309,0.308,0.3,0.284,0.261,0.23,0.19,0.144,0.103,0.077,0.076,0.102,0.149,0.205,0.253,0.277,0.277,0.261,0.246,0.247,0.267,0.299,0.328,0.341,0.328,0.298,0.263,0.237,0.224,0.217,0.213,0.216,0.235,0.271,0.31,0.331,0.323,0.292,0.259,0.243,0.25,0.271,0.289,0.294,0.286,0.271,0.256,0.247,0.244,0.244,0.24,0.226,0.205,0.184,0.171,0.172,0.185,0.201,0.21,0.208,0.194,0.173,0.146,0.115,0.083,0.055,0.038,0.035,0.047,0.076,0.12,0.17,0.215,0.246,0.258,0.258,0.254,0.251,0.254,0.259,0.262,0.26,0.254,0.247,0.241,0.235,0.222,0.2,0.175,0.158,0.156,0.167,0.185,0.2,0.207,0.205,0.198,0.193,0.199,0.216,0.239,0.26,0.27,0.269,0.259,0.246,0.236,0.229,0.226,0.225,0.228,0.237,0.25,0.262,0.266,0.255,0.229,0.193,0.155,0.118,0.086,0.059,0.042,0.04,0.058,0.097,0.153,0.213,0.266,0.301,0.315,0.311,0.293,0.269,0.245,0.227,0.212,0.203,0.202,0.213,0.232,0.256,0.277,0.293,0.303,0.307,0.305,0.3,0.292,0.285,0.275,0.262,0.245,0.229,0.218,0.215,0.215,0.211,0.2,0.182,0.166,0.156,0.154,0.155,0.154,0.149,0.142,0.136,0.135,0.137,0.14,0.14,0.138,0.136,0.135,0.133,0.129,0.119,0.104,0.083,0.06,0.039,0.024,0.015,0.014,0.022,0.041,0.073,0.116,0.163,0.211,0.256,0.295,0.321,0.33,0.322,0.305,0.289,0.284,0.287,0.295,0.301,0.303,0.3,0.295,0.291,0.29,0.292,0.295,0.295,0.291,0.284,0.28,0.281,0.285,0.287,0.285,0.278,0.268,0.257,0.246,0.238,0.235,0.235,0.237,0.24,0.242,0.239,0.231,0.221,0.213,0.209,0.209,0.21,0.206,0.196,0.185,0.174,0.165,0.159,0.158,0.164,0.174,0.183,0.186,0.183,0.178,0.172,0.168,0.167,0.167,0.167,0.168,0.168,0.166,0.161,0.153,0.143,0.132,0.12,0.108,0.095,0.08,0.064,0.048,0.034,0.024,0.017,0.013,0.012,0.011,0.012,0.012]