[0.34,0.311,0.254,0.197,0.168,0.176,0.2,0.208,0.182,0.135,0.093,0.076,0.083,0.096,0.099,0.089,0.076,0.079,0.109,0.159,0.207,0.226,0.204,0.15,0.088,0.043,0.021,0.018,0.023,0.031,0.038,0.045,0.052,0.059,0.066,0.07,0.072,0.072,0.071,0.073,0.077,0.084,0.089,0.092,0.09,0.087,0.083,0.08,0.08,0.081,0.082,0.081,0.078,0.073,0.068,0.063,0.06,0.058,0.056,0.054,0.051,0.047,0.042,0.039,0.036,0.033,0.03,0.027,0.025,0.023,0.022,0.021,0.019,0.019,0.02,0.026,0.036,0.047,0.056,0.06,0.059,0.055,0.05,0.046,0.042,0.038,0.034,0.031,0.029,0.026,0.025,0.023,0.022,0.022,0.022,0.022,0.022,0.021,0.025,0.039,0.069,0.116,0.168,0.213,0.238,0.243,0.234,0.218,0.198,0.174,0.146,0.116,0.09,0.072,0.067,0.072,0.077,0.076,0.067,0.058,0.058,0.069,0.082,0.088,0.083,0.075,0.069,0.069,0.07,0.068,0.064,0.062,0.064,0.07,0.078,0.081,0.076,0.065,0.055,0.052,0.054,0.055,0.05,0.041,0.036,0.042,0.058,0.077,0.09,0.091,0.084,0.08,0.091,0.121,0.163,0.203,0.227,0.233,0.23,0.227,0.224,0.216,0.193,0.157,0.119,0.093,0.082,0.084,0.095,0.107,0.119,0.127,0.135,0.148,0.169,0.195,0.214,0.219,0.209,0.195,0.188,0.19,0.194,0.192,0.18,0.158,0.133,0.107,0.084,0.068,0.067,0.087,0.118,0.142,0.141,0.119,0.095,0.093,0.117,0.153,0.183,0.197,0.202,0.211,0.229,0.254,0.275,0.287,0.284,0.271,0.255,0.243,0.23,0.21,0.179,0.143,0.112,0.097,0.097,0.106,0.118,0.128,0.136,0.141,0.148,0.16,0.18,0.2,0.212,0.211,0.203,0.2,0.206,0.217,0.223,0.218,0.2,0.173,0.143,0.115,0.092,0.082,0.088,0.11,0.136,0.149,0.14,0.118,0.104,0.114,0.143,0.176,0.195,0.201,0.205,0.217,0.237,0.259,0.275,0.28,0.276,0.265,0.255,0.246,0.232,0.207,0.171,0.134,0.107,0.096,0.097,0.105,0.116,0.127,0.136,0.144,0.155,0.173,0.196,0.215,0.222,0.216,0.207,0.203,0.208,0.214,0.214,0.201,0.18,0.155,0.129,0.106,0.088,0.084,0.1,0.13,0.154,0.159,0.142,0.123,0.122,0.148,0.193,0.237,0.268,0.286,0.297,0.301,0.296,0.28,0.254,0.225,0.199,0.184,0.179,0.181,0.178,0.165,0.146,0.129,0.122,0.125,0.132,0.144,0.157,0.171,0.182,0.193,0.204,0.219,0.233,0.242,0.242,0.236,0.231,0.233,0.237,0.237,0.226,0.205,0.176,0.146,0.119,0.096,0.083,0.087,0.11,0.14,0.158,0.151,0.126,0.106,0.111,0.138,0.17,0.189,0.195,0.198,0.207,0.222,0.234,0.235,0.224,0.207,0.193,0.188,0.191,0.192,0.181,0.159,0.135,0.12,0.118,0.124,0.135,0.146,0.16,0.173,0.185,0.196,0.211,0.228,0.242,0.247,0.239,0.227,0.219,0.219,0.223,0.223,0.212,0.19,0.163,0.135,0.108,0.089,0.084,0.099,0.127,0.151,0.155,0.135,0.11,0.1,0.116,0.149,0.18,0.196,0.201,0.205,0.213,0.224,0.229,0.224,0.209,0.19,0.175,0.171,0.175,0.176,0.168,0.149,0.132,0.121,0.122,0.129,0.141,0.154,0.168,0.178,0.188,0.2,0.217,0.234,0.244,0.243,0.232,0.222,0.219,0.222,0.224,0.218,0.201,0.177,0.15,0.123,0.1,0.087,0.09,0.113,0.143,0.16,0.153,0.128,0.108,0.111,0.138,0.17,0.19,0.195,0.196,0.202,0.215,0.228,0.233,0.225,0.208,0.191,0.181,0.181,0.182,0.176,0.161,0.143,0.132,0.13,0.134,0.141,0.148,0.155,0.16,0.164,0.17,0.182,0.201,0.219,0.23,0.229,0.224,0.221,0.226,0.235,0.24,0.234,0.217,0.195,0.169,0.146,0.129,0.127,0.145,0.176,0.2,0.203,0.183,0.159,0.151,0.164,0.189,0.209,0.218,0.218,0.214,0.208,0.198,0.184,0.168,0.155,0.151,0.161,0.186,0.213,0.221,0.196,0.147,0.098,0.073,0.074,0.09,0.108,0.129,0.156,0.194,0.234,0.257,0.247,0.203,0.141,0.088,0.06,0.061,0.079,0.103,0.125,0.145,0.17,0.2,0.222,0.219,0.184,0.131,0.087,0.068,0.074,0.092,0.11,0.131,0.158,0.196,0.235,0.266,0.282,0.29,0.3,0.317,0.331,0.328,0.303,0.261,0.217,0.181,0.164,0.164,0.173,0.179,0.173,0.159,0.146,0.139,0.139,0.143,0.149,0.158,0.171,0.184,0.198,0.213,0.23,0.244,0.25,0.244,0.233,0.224,0.222,0.224,0.223,0.214,0.195,0.17,0.143,0.117,0.097,0.09,0.101,0.125,0.15,0.157,0.142,0.117,0.104,0.116,0.149,0.181,0.2,0.205,0.205,0.208,0.215,0.218,0.212,0.197,0.177,0.162,0.16,0.172,0.186,0.189,0.177,0.159,0.145,0.14,0.14,0.144,0.15,0.158,0.169,0.182,0.198,0.221,0.245,0.264,0.271,0.263,0.25,0.238,0.233,0.23,0.223,0.207,0.184,0.157,0.13,0.106,0.091,0.091,0.111,0.141,0.164,0.167,0.156,0.151,0.17,0.214,0.267,0.307,0.324,0.318,0.299,0.276,0.257,0.24,0.222,0.2,0.179,0.166,0.166,0.174,0.179,0.173,0.159,0.146,0.141,0.145,0.152,0.158,0.165,0.175,0.188,0.205,0.223,0.244,0.259,0.266,0.262,0.252,0.242,0.236,0.233,0.225,0.21,0.189,0.165,0.141,0.119,0.1,0.091,0.099,0.122,0.146,0.156,0.144,0.121,0.109,0.122,0.155,0.189,0.209,0.216,0.218,0.222,0.23,0.232,0.226,0.212,0.194,0.18,0.177,0.185,0.193,0.192,0.18,0.165,0.157,0.157,0.16,0.164,0.167,0.175,0.188,0.204,0.222,0.242,0.259,0.268,0.266,0.253,0.24,0.233,0.235,0.237,0.23,0.21,0.184,0.156,0.131,0.109,0.094,0.093,0.109,0.137,0.156,0.153,0.128,0.095,0.072,0.064,0.067,0.068,0.065,0.057,0.055,0.067,0.094,0.125,0.148,0.155,0.152,0.151,0.159,0.17,0.173,0.161,0.14,0.119,0.104,0.097,0.097,0.105,0.122,0.143,0.163,0.179,0.192,0.208,0.223,0.231,0.228,0.217,0.208,0.206,0.21,0.212,0.209,0.197,0.179,0.156,0.13,0.107,0.093,0.097,0.121,0.157,0.187,0.197,0.189,0.177,0.178,0.194,0.212,0.222,0.22,0.216,0.218,0.225,0.23,0.229,0.219,0.204,0.19,0.182,0.182,0.182,0.173,0.155,0.135,0.123,0.122,0.127,0.136,0.146,0.158,0.169,0.179,0.191,0.208,0.229,0.244,0.248,0.241,0.232,0.227,0.228,0.23,0.227,0.215,0.195,0.172,0.147,0.124,0.106,0.104,0.123,0.157,0.19,0.206,0.201,0.187,0.183,0.194,0.213,0.226,0.226,0.219,0.215,0.219,0.227,0.231,0.227,0.212,0.194,0.18,0.177,0.18,0.179,0.168,0.147,0.127,0.118,0.121,0.131,0.147,0.162,0.175,0.183,0.189,0.197,0.211,0.228,0.24,0.242,0.237,0.232,0.232,0.236,0.238,0.233,0.217,0.193,0.164,0.135,0.11,0.097,0.103,0.129,0.168,0.199,0.208,0.196,0.18,0.178,0.191,0.208,0.217,0.216,0.214,0.217,0.226,0.233,0.232,0.222,0.206,0.191,0.184,0.185,0.186,0.178,0.16,0.14,0.128,0.127,0.132,0.139,0.145,0.153,0.159,0.165,0.172,0.186,0.206,0.226,0.235,0.232,0.223,0.216,0.216,0.219,0.22,0.216,0.21,0.203,0.197,0.19,0.183,0.184,0.198,0.22,0.235,0.23,0.203,0.168,0.145,0.145,0.165,0.198,0.237,0.279,0.317,0.338,0.335,0.309,0.271,0.233,0.204,0.191,0.195,0.205,0.201,0.173,0.128,0.088,0.07,0.074,0.09,0.108,0.125,0.148,0.176,0.202,0.212,0.197,0.16,0.119,0.096,0.101,0.129,0.163,0.186,0.19,0.18,0.169,0.168,0.177,0.183,0.179,0.165,0.149,0.141,0.142,0.147,0.157,0.169,0.185,0.203,0.22,0.236,0.25,0.259,0.262,0.263,0.27,0.292,0.32,0.342,0.345,0.331,0.306,0.278,0.249,0.22,0.195,0.183,0.193,0.23,0.282,0.329,0.355,0.356,0.343,0.33,0.322,0.316,0.305,0.29,0.277,0.271,0.268,0.263,0.252,0.232,0.208,0.189,0.182,0.188,0.198,0.201,0.192,0.178,0.166,0.16,0.156,0.155,0.159,0.172,0.192,0.214,0.232,0.247,0.258,0.264,0.266,0.271,0.286,0.311,0.337,0.35,0.344,0.324,0.297,0.27,0.241,0.213,0.191,0.186,0.208,0.255,0.308,0.349,0.366,0.364,0.359,0.363,0.378,0.4,0.424,0.446,0.462,0.467,0.458,0.436,0.404,0.368,0.334,0.308,0.292,0.283,0.272,0.252,0.224,0.199,0.183,0.177,0.177,0.182,0.189,0.2,0.212,0.225,0.238,0.252,0.262,0.268,0.273,0.283,0.304,0.332,0.355,0.36,0.346,0.319,0.287,0.253,0.221,0.193,0.176,0.181,0.213,0.265,0.317,0.353,0.363,0.357,0.345,0.332,0.316,0.293,0.269,0.253,0.248,0.25,0.252,0.248,0.235,0.216,0.2,0.194,0.198,0.206,0.205,0.192,0.173,0.156,0.148,0.147,0.152,0.161,0.176,0.194,0.213,0.23,0.247,0.262,0.27,0.267,0.253,0.24,0.232,0.232,0.234,0.232,0.231,0.239,0.261,0.29,0.311,0.316,0.312,0.311,0.321,0.334,0.337,0.321,0.296,0.276,0.272,0.28,0.287,0.284,0.273,0.262,0.257,0.257,0.255,0.246,0.226,0.202,0.182,0.174,0.175,0.173,0.159,0.135,0.111,0.097,0.097,0.106,0.12,0.134,0.144,0.149,0.154,0.166,0.187,0.208,0.22,0.219,0.21,0.205,0.21,0.221,0.227,0.221,0.202,0.175,0.146,0.119,0.097,0.084,0.088,0.11,0.14,0.158,0.152,0.126,0.106,0.11,0.138,0.172,0.194,0.2,0.198,0.199,0.206,0.214,0.216,0.207,0.191,0.176,0.168,0.169,0.17,0.159,0.136,0.109,0.09,0.086,0.092,0.105,0.119,0.131,0.139,0.146,0.155,0.172,0.194,0.212,0.218,0.212,0.202,0.198,0.204,0.214,0.217,0.209,0.188,0.162,0.134,0.108,0.089,0.084,0.099,0.128,0.154,0.159,0.14,0.113,0.102,0.117,0.151,0.184,0.202,0.204,0.201,0.2,0.201,0.199,0.188,0.168,0.144,0.124,0.115,0.117,0.119,0.11,0.09,0.066,0.048,0.039,0.04,0.052,0.07,0.087,0.096,0.097,0.101,0.12,0.149,0.174,0.181,0.173,0.163,0.163,0.174,0.183,0.18,0.161,0.129,0.096,0.069,0.052,0.049,0.059,0.084,0.115,0.135,0.133,0.111,0.088,0.082,0.099,0.126,0.147,0.157,0.162,0.17,0.181,0.19,0.191,0.181,0.161,0.14,0.125,0.122,0.124,0.119,0.103,0.078,0.055,0.041,0.037,0.045,0.063,0.083,0.097,0.1,0.098,0.106,0.13,0.159,0.176,0.173,0.158,0.148,0.15,0.158,0.161,0.15,0.124,0.092,0.063,0.042,0.034,0.037,0.053,0.078,0.102,0.111,0.101,0.079,0.064,0.065,0.081,0.099,0.106,0.1,0.088,0.079,0.076,0.077,0.079,0.08,0.077,0.071,0.065,0.06,0.058,0.056,0.054,0.049,0.044,0.038,0.034,0.031,0.028,0.026,0.025,0.023,0.022,0.021,0.02,0.02,0.024,0.034,0.052,0.073,0.092,0.103,0.106,0.103,0.095,0.085,0.074,0.064,0.056,0.051,0.047,0.043,0.039,0.036,0.033,0.031,0.028,0.026,0.024,0.023,0.021,0.021,0.024,0.034,0.05,0.07,0.087,0.095,0.091,0.08,0.068,0.059,0.053,0.048,0.045,0.041,0.039,0.036,0.034,0.032,0.03,0.028,0.026,0.024,0.022,0.022,0.027,0.039,0.061,0.086,0.107,0.118,0.119,0.114,0.106,0.096,0.086,0.077,0.068,0.061,0.054,0.049,0.045,0.042,0.039,0.036,0.033,0.03,0.027,0.025,0.024,0.023,0.023,0.028,0.041,0.062,0.086,0.107,0.118,0.125,0.13,0.134,0.13,0.114,0.091,0.07,0.061,0.066,0.081,0.097,0.103,0.101,0.097,0.098,0.101,0.097,0.081,0.057,0.039,0.036,0.05,0.078,0.109,0.133,0.146,0.152,0.154,0.152,0.141,0.12,0.095,0.076,0.07,0.078,0.095,0.109,0.111,0.106,0.1,0.103,0.114,0.124,0.13,0.131,0.13,0.132,0.136,0.138,0.131,0.114,0.096,0.09,0.097,0.11,0.116,0.111,0.098,0.086,0.08,0.082,0.09,0.098,0.098,0.092,0.091,0.099,0.11,0.114,0.105,0.087,0.068,0.058,0.059,0.068,0.077,0.082,0.084,0.09,0.101,0.112,0.114,0.104,0.09,0.076,0.071,0.076,0.087,0.096,0.096,0.093,0.095,0.107,0.125,0.142,0.154,0.161,0.166,0.17,0.173,0.166,0.146,0.12,0.103,0.107,0.132,0.159,0.17,0.16,0.135,0.112,0.101,0.103,0.111,0.113,0.107,0.103,0.113,0.137,0.161,0.169,0.157,0.136,0.12,0.115,0.117,0.117,0.109,0.097,0.093,0.109,0.137,0.162,0.167,0.15,0.123,0.101,0.095,0.102,0.112,0.113,0.107,0.105,0.121,0.155,0.193,0.219,0.227,0.221,0.212,0.208,0.205,0.196,0.178,0.159,0.151,0.161,0.179,0.19,0.183,0.161,0.136,0.121,0.121,0.13,0.136,0.132,0.123,0.123,0.139,0.163,0.178,0.172,0.152,0.13,0.121,0.127,0.144,0.159,0.166,0.167,0.171,0.183,0.197,0.199,0.184,0.157,0.13,0.116,0.118,0.129,0.135,0.131,0.122,0.125,0.147,0.184,0.216,0.232,0.231,0.221,0.211,0.205,0.198,0.185,0.168,0.155,0.158,0.174,0.191,0.194,0.179,0.153,0.13,0.119,0.121,0.129,0.132,0.125,0.119,0.126,0.146,0.169,0.177,0.167,0.147,0.135,0.137,0.151,0.166,0.173,0.172,0.171,0.179,0.192,0.202,0.197,0.176,0.149,0.129,0.124,0.129,0.135,0.132,0.121,0.116,0.129,0.161,0.199,0.226,0.235,0.229,0.22,0.215,0.213,0.204,0.184,0.161,0.149,0.156,0.174,0.188,0.185,0.166,0.142,0.123,0.118,0.123,0.127,0.123,0.114,0.114,0.13,0.155,0.172,0.17,0.152,0.131,0.121,0.126,0.141,0.155,0.163,0.165,0.171,0.185,0.201,0.204,0.188,0.158,0.13,0.115,0.117,0.128,0.136,0.132,0.123,0.123,0.143,0.177,0.209,0.228,0.23,0.221,0.21,0.199,0.188,0.171,0.15,0.129,0.115,0.115,0.125,0.136,0.139,0.131,0.116,0.1,0.086,0.074,0.063,0.053,0.049,0.054,0.071,0.095,0.115,0.124,0.122,0.115,0.111,0.109,0.108,0.105,0.099,0.095,0.099,0.111,0.127,0.137,0.136,0.122,0.104,0.088,0.077,0.069,0.061,0.053,0.049,0.055,0.076,0.107,0.135,0.156,0.174,0.205,0.256,0.319,0.376,0.408,0.413,0.401,0.387,0.38,0.377,0.369,0.347,0.312,0.27,0.23,0.199,0.177,0.166,0.166,0.178,0.197,0.216,0.234,0.248,0.258,0.263,0.266,0.275,0.296,0.324,0.348,0.354,0.343,0.318,0.289,0.259,0.229,0.201,0.183,0.184,0.212,0.26,0.312,0.347,0.357,0.351,0.341,0.335,0.329,0.319,0.302,0.284,0.271,0.265,0.262,0.256,0.243,0.222,0.201,0.189,0.191,0.199,0.202,0.193,0.175,0.158,0.149,0.147,0.15,0.156,0.167,0.182,0.2,0.218,0.235,0.251,0.265,0.276,0.287,0.302,0.324,0.345,0.357,0.352,0.334,0.31,0.283,0.253,0.223,0.197,0.185,0.196,0.234,0.285,0.331,0.355,0.355,0.343,0.332,0.329,0.334,0.348,0.37,0.397,0.423,0.437,0.436,0.427,0.417,0.411,0.405,0.393,0.371,0.337,0.294,0.25,0.213,0.188,0.179,0.183,0.203,0.235,0.273,0.304,0.318,0.315,0.301,0.287,0.277,0.273,0.279,0.297,0.324,0.349,0.36,0.351,0.327,0.296,0.263,0.231,0.201,0.181,0.18,0.206,0.255,0.307,0.346,0.36,0.357,0.347,0.335,0.32,0.3,0.276,0.257,0.247,0.246,0.251,0.261,0.276,0.298,0.322,0.336,0.334,0.31,0.27,0.224,0.184,0.159,0.149,0.154,0.171,0.2,0.241,0.285,0.318,0.33,0.323,0.308,0.294,0.282,0.266,0.25,0.238,0.233,0.233,0.232,0.231,0.237,0.255,0.281,0.304,0.312,0.309,0.305,0.311,0.325,0.333,0.325,0.304,0.283,0.274,0.278,0.284,0.282,0.273,0.264,0.262,0.271,0.291,0.315,0.336,0.34,0.324,0.295,0.267,0.243,0.221,0.196,0.17,0.154,0.158,0.185,0.229,0.274,0.306,0.315,0.307,0.292,0.281,0.276,0.273,0.274,0.281,0.301,0.327,0.35,0.357,0.345,0.32,0.291,0.263,0.235,0.208,0.187,0.185,0.208,0.254,0.305,0.341,0.355,0.35,0.339,0.332,0.327,0.319,0.304,0.288,0.277,0.275,0.286,0.307,0.329,0.339,0.329,0.302,0.27,0.243,0.222,0.201,0.18,0.164,0.161,0.178,0.212,0.254,0.289,0.308,0.306,0.293,0.277,0.268,0.264,0.263,0.265,0.276,0.302,0.333,0.355,0.357,0.341,0.315,0.286,0.256,0.225,0.198,0.183,0.191,0.227,0.28,0.331,0.361,0.363,0.349,0.335,0.329,0.333,0.344,0.364,0.393,0.424,0.449,0.465,0.469,0.462,0.44,0.404,0.363,0.326,0.295,0.267,0.237,0.211,0.194,0.195,0.214,0.247,0.281,0.305,0.31,0.3,0.286,0.276,0.273,0.274,0.276,0.28,0.295,0.319,0.344,0.356,0.35,0.328,0.299,0.268,0.238,0.209,0.188,0.183,0.203,0.245,0.295,0.335,0.355,0.356,0.349,0.339,0.326,0.308,0.285,0.266,0.257,0.262,0.281,0.311,0.341,0.357,0.35,0.324,0.291,0.262,0.24,0.219,0.198,0.182,0.177,0.189,0.216,0.253,0.286,0.307,0.309,0.301,0.291,0.288,0.287,0.284,0.275,0.265,0.26,0.263,0.269,0.273,0.275,0.278,0.29,0.309,0.327,0.334,0.33,0.327,0.334,0.353,0.369,0.37,0.354,0.336,0.328,0.334,0.344,0.346,0.34,0.332,0.336,0.354,0.381,0.401,0.399,0.369,0.316,0.251,0.189,0.139,0.105,0.087,0.084,0.102,0.139,0.187,0.229,0.246,0.23,0.189,0.145,0.118,0.117,0.136,0.159,0.173,0.172,0.162,0.15,0.144,0.143,0.143,0.136,0.121,0.099,0.079,0.068,0.068,0.079,0.098,0.123,0.141,0.142,0.123,0.098,0.087,0.1,0.132,0.165,0.189,0.204,0.221,0.249,0.286,0.318,0.327,0.303,0.255,0.203,0.166,0.151,0.149,0.146,0.136,0.128,0.135,0.165,0.208,0.246,0.258,0.24,0.199,0.16,0.142,0.152,0.179,0.203,0.212,0.206,0.2,0.202,0.211,0.217,0.208,0.183,0.148,0.115,0.095,0.087,0.091,0.105,0.129,0.155,0.169,0.16,0.133,0.109,0.108,0.132,0.167,0.195,0.211,0.221,0.237,0.263,0.296,0.318,0.317,0.288,0.24,0.195,0.167,0.157,0.154,0.147,0.138,0.138,0.158,0.199,0.243,0.269,0.263,0.229,0.183,0.149,0.144,0.164,0.194,0.213,0.213,0.205,0.2,0.204,0.211,0.212,0.198,0.172,0.14,0.115,0.1,0.097,0.103,0.117,0.138,0.156,0.158,0.142,0.117,0.104,0.115,0.147,0.182,0.205,0.217,0.227,0.247,0.278,0.313,0.331,0.32,0.278,0.224,0.18,0.16,0.156,0.154,0.147,0.14,0.148,0.178,0.223,0.261,0.274,0.255,0.213,0.17,0.149,0.155,0.18,0.204,0.214,0.209,0.2,0.191,0.179,0.156,0.126,0.101,0.091,0.094,0.099,0.096,0.09,0.102,0.147,0.214,0.267,0.272,0.23,0.184,0.181,0.235,0.309,0.343,0.308,0.22,0.125,0.057,0.031]