[0.235,0.25,0.273,0.284,0.278,0.275,0.296,0.345,0.396,0.423,0.41,0.367,0.314,0.272,0.255,0.264,0.284,0.295,0.291,0.275,0.26,0.258,0.276,0.307,0.338,0.351,0.34,0.314,0.288,0.277,0.283,0.295,0.301,0.296,0.284,0.272,0.26,0.25,0.243,0.239,0.231,0.215,0.197,0.191,0.203,0.223,0.233,0.223,0.198,0.173,0.16,0.163,0.177,0.196,0.218,0.242,0.266,0.282,0.283,0.275,0.271,0.275,0.281,0.273,0.252,0.232,0.238,0.281,0.355,0.422,0.455,0.447,0.415,0.383,0.355,0.329,0.298,0.266,0.241,0.225,0.215,0.207,0.198,0.193,0.199,0.217,0.239,0.254,0.261,0.267,0.283,0.311,0.342,0.357,0.35,0.324,0.288,0.252,0.227,0.22,0.23,0.249,0.269,0.287,0.304,0.319,0.331,0.34,0.347,0.338,0.304,0.248,0.198,0.181,0.204,0.249,0.291,0.315,0.322,0.32,0.318,0.315,0.309,0.299,0.288,0.287,0.298,0.316,0.32,0.301,0.266,0.242,0.242,0.257,0.267,0.257,0.238,0.233,0.262,0.321,0.384,0.424,0.428,0.398,0.343,0.278,0.218,0.176,0.151,0.138,0.136,0.146,0.172,0.206,0.234,0.248,0.252,0.254,0.257,0.253,0.239,0.22,0.209,0.215,0.238,0.262,0.269,0.249,0.212,0.178,0.164,0.168,0.178,0.18,0.176,0.175,0.191,0.226,0.271,0.305,0.313,0.297,0.278,0.279,0.311,0.36,0.405,0.429,0.433,0.425,0.409,0.387,0.358,0.319,0.271,0.222,0.186,0.179,0.199,0.229,0.25,0.255,0.255,0.27,0.311,0.367,0.418,0.446,0.449,0.429,0.397,0.356,0.311,0.264,0.225,0.201,0.199,0.209,0.227,0.249,0.281,0.318,0.348,0.354,0.332,0.289,0.246,0.218,0.212,0.228,0.253,0.273,0.276,0.264,0.25,0.247,0.252,0.256,0.249,0.231,0.21,0.193,0.187,0.198,0.229,0.272,0.312,0.331,0.336,0.345,0.377,0.426,0.473,0.499,0.495,0.472,0.447,0.437,0.452,0.488,0.531,0.562,0.565,0.54,0.499,0.464,0.446,0.44,0.43,0.411,0.389,0.376,0.378,0.394,0.411,0.412,0.387,0.34,0.289,0.256,0.252,0.272,0.3,0.324,0.34,0.343,0.338,0.33,0.338,0.365,0.402,0.428,0.441,0.446,0.454,0.462,0.462,0.446,0.414,0.376,0.343,0.325,0.318,0.318,0.319,0.317,0.316,0.32,0.342,0.376,0.413,0.421,0.385,0.303,0.2,0.109,0.05,0.025,0.026,0.041,0.062,0.083,0.105,0.135,0.174,0.219,0.257,0.279,0.285,0.281,0.271,0.26,0.254,0.264,0.286,0.31,0.318,0.308,0.291,0.283,0.292,0.304,0.308,0.303,0.3,0.305,0.311,0.304,0.276,0.241,0.21,0.201,0.221,0.268,0.324,0.362,0.366,0.344,0.321,0.318,0.341,0.382,0.422,0.446,0.444,0.425,0.407,0.412,0.443,0.487,0.525,0.546,0.556,0.56,0.561,0.553,0.533,0.505,0.483,0.475,0.487,0.511,0.534,0.543,0.536,0.521,0.506,0.492,0.471,0.433,0.374,0.307,0.252,0.226,0.236,0.27,0.309,0.337,0.357,0.381,0.415,0.437,0.425,0.374,0.306,0.248,0.21,0.191,0.185,0.189,0.194,0.194,0.189,0.185,0.189,0.195,0.192,0.181,0.175,0.19,0.223,0.253,0.26,0.239,0.201,0.159,0.119,0.082,0.05,0.027,0.014,0.008,0.005,0.004,0.005,0.009,0.021,0.043,0.076,0.111,0.143,0.169,0.193,0.214,0.224,0.218,0.202,0.182,0.161,0.14,0.119,0.107,0.115,0.138,0.164,0.177,0.178,0.176,0.184,0.204,0.223,0.229,0.22,0.212,0.221,0.256,0.301,0.332,0.332,0.309,0.285,0.276,0.281,0.287,0.285,0.271,0.244,0.211,0.184,0.177,0.192,0.217,0.244,0.277,0.317,0.353,0.368,0.358,0.338,0.322,0.317,0.316,0.311,0.301,0.29,0.277,0.26,0.247,0.249,0.272,0.301,0.314,0.298,0.263,0.232,0.224,0.244,0.285,0.334,0.366,0.36,0.308,0.231,0.16,0.114,0.089,0.072,0.055,0.039,0.031,0.038,0.062,0.103,0.153,0.2,0.235,0.25,0.247,0.227,0.201,0.182,0.183,0.2,0.22,0.224,0.206,0.173,0.14,0.122,0.13,0.161,0.204,0.239,0.25,0.237,0.209,0.188,0.188,0.214,0.255,0.287,0.295,0.273,0.244,0.23,0.248,0.285,0.319,0.334,0.331,0.327,0.336,0.364,0.403,0.443,0.472,0.489,0.486,0.471,0.454,0.447,0.449,0.454,0.452,0.443,0.425,0.404,0.379,0.356,0.332,0.304,0.273,0.255,0.265,0.297,0.329,0.336,0.314,0.276,0.242,0.22,0.217,0.227,0.249,0.271,0.289,0.29,0.274,0.24,0.2,0.17,0.164,0.183,0.213,0.234,0.239,0.231,0.221,0.214,0.21,0.206,0.204,0.206,0.205,0.196,0.177,0.157,0.149,0.156,0.169,0.175,0.177,0.185,0.208,0.24,0.269,0.285,0.283,0.261,0.223,0.183,0.16,0.166,0.187,0.201,0.197,0.181,0.167,0.162,0.162,0.163,0.162,0.167,0.171,0.17,0.155,0.13,0.105,0.093,0.101,0.138,0.204,0.292,0.374,0.426,0.429,0.392,0.328,0.262,0.213,0.196,0.208,0.226,0.228,0.209,0.189,0.191,0.217,0.248,0.26,0.251,0.237,0.235,0.24,0.235,0.203,0.148,0.089,0.044,0.018,0.008,0.009,0.02,0.047,0.092,0.151,0.207,0.245,0.258,0.256,0.249,0.247,0.261,0.3,0.359,0.422,0.459,0.455,0.418,0.373,0.341,0.331,0.332,0.331,0.327,0.326,0.335,0.347,0.343,0.309,0.245,0.167,0.1,0.059,0.048,0.059,0.086,0.121,0.162,0.203,0.235,0.246,0.233,0.205,0.177,0.158,0.15,0.152,0.163,0.18,0.193,0.194,0.181,0.161,0.142,0.126,0.119,0.133,0.179,0.251,0.324,0.373,0.388,0.376,0.357,0.346,0.351,0.368,0.376,0.352,0.287,0.202,0.128,0.087,0.076,0.083,0.095,0.105,0.11,0.111,0.113,0.121,0.143,0.172,0.198,0.206,0.192,0.167,0.15,0.151,0.165,0.177,0.177,0.163,0.145,0.134,0.135,0.143,0.145,0.137,0.127,0.131,0.162,0.216,0.281,0.334,0.359,0.348,0.304,0.244,0.19,0.161,0.162,0.181,0.201,0.213,0.215,0.21,0.199,0.191,0.191,0.199,0.208,0.212,0.209,0.202,0.193,0.186,0.185,0.187,0.188,0.18,0.165,0.147,0.129,0.108,0.086,0.072,0.075,0.094,0.113,0.122,0.118,0.115,0.122,0.141,0.162,0.178,0.183,0.178,0.165,0.146,0.128,0.117,0.12,0.141,0.175,0.209,0.227,0.221,0.2,0.178,0.17,0.177,0.197,0.225,0.255,0.274,0.27,0.241,0.201,0.163,0.138,0.127,0.13,0.144,0.157,0.158,0.143,0.119,0.099,0.088,0.085,0.084,0.08,0.07,0.053,0.034,0.018,0.009,0.01,0.018,0.03,0.04,0.043,0.036,0.024,0.014,0.011,0.02,0.04,0.067,0.089,0.099,0.097,0.09,0.088,0.097,0.119,0.149,0.176,0.188,0.181,0.158,0.132,0.118,0.123,0.148,0.188,0.225,0.241,0.227,0.191,0.156,0.133,0.119,0.104,0.085,0.066,0.058,0.064,0.08,0.096,0.105,0.105,0.105,0.115,0.14,0.169,0.188,0.187,0.168,0.138,0.108,0.086,0.074,0.072,0.078,0.091,0.11,0.129,0.142,0.148,0.15,0.152,0.154,0.154,0.151,0.139,0.121,0.108,0.118,0.163,0.232,0.286,0.296,0.263,0.218,0.192,0.189,0.194,0.191,0.18,0.175,0.184,0.203,0.218,0.219,0.209,0.196,0.189,0.186,0.185,0.179,0.164,0.14,0.114,0.101,0.111,0.14,0.17,0.181,0.173,0.158,0.158,0.182,0.22,0.251,0.26,0.244,0.218,0.203,0.212,0.246,0.289,0.319,0.319,0.29,0.25,0.221,0.209,0.208,0.207,0.203,0.204,0.215,0.229,0.239,0.237,0.225,0.211,0.197,0.189,0.187,0.196,0.214,0.237,0.255,0.259,0.251,0.244,0.25,0.266,0.28,0.278,0.255,0.218,0.177,0.139,0.107,0.081,0.066,0.065,0.08,0.102,0.12,0.131,0.142,0.16,0.184,0.201,0.202,0.187,0.166,0.158,0.172,0.202,0.219,0.21,0.177,0.147,0.14,0.162,0.202,0.248,0.281,0.29,0.269,0.227,0.184,0.159,0.158,0.175,0.196,0.207,0.204,0.185,0.152,0.112,0.071,0.038,0.018,0.008,0.007,0.011,0.019,0.032,0.047,0.063,0.078,0.092,0.103,0.11,0.113,0.113,0.113,0.116,0.131,0.159,0.194,0.219,0.224,0.211,0.192,0.179,0.175,0.177,0.179,0.183,0.194,0.209,0.217,0.213,0.203,0.196,0.196,0.201,0.209,0.221,0.232,0.229,0.206,0.168,0.127,0.098,0.086,0.087,0.095,0.109,0.122,0.133,0.142,0.149,0.156,0.165,0.176,0.19,0.202,0.209,0.205,0.194,0.18,0.167,0.155,0.146,0.147,0.156,0.17,0.178,0.172,0.153,0.131,0.118,0.121,0.138,0.153,0.155,0.14,0.116,0.095,0.086,0.092,0.108,0.128,0.143,0.143,0.129,0.108,0.092,0.086,0.091,0.098,0.104,0.103,0.096,0.092,0.103,0.132,0.172,0.205,0.223,0.226,0.225,0.23,0.243,0.262,0.279,0.282,0.262,0.222,0.183,0.162,0.165,0.176,0.178,0.16,0.13,0.1,0.08,0.07,0.068,0.071,0.075,0.083,0.096,0.112,0.127,0.14,0.154,0.171,0.188,0.2,0.202,0.198,0.188,0.175,0.16,0.149,0.148,0.162,0.183,0.203,0.215,0.223,0.234,0.246,0.248,0.23,0.198,0.167,0.146,0.137,0.136,0.14,0.146,0.148,0.138,0.12,0.106,0.104,0.113,0.121,0.123,0.124,0.139,0.171,0.208,0.232,0.233,0.218,0.202,0.198,0.21,0.23,0.243,0.238,0.21,0.17,0.136,0.126,0.147,0.188,0.225,0.239,0.229,0.206,0.185,0.171,0.159,0.141,0.111,0.077,0.046,0.028,0.024,0.036,0.057,0.08,0.096,0.105,0.115,0.133,0.156,0.177,0.185,0.176,0.153,0.123,0.093,0.074,0.071,0.08,0.094,0.105,0.112,0.113,0.109,0.101,0.097,0.105,0.123,0.141,0.143,0.127,0.101,0.078,0.066,0.065,0.072,0.087,0.104,0.124,0.143,0.161,0.173,0.173,0.156,0.127,0.099,0.084,0.091,0.115,0.149,0.18,0.199,0.203,0.199,0.193,0.189,0.185,0.179,0.172,0.164,0.154,0.139,0.118,0.094,0.073,0.06,0.055,0.052,0.05,0.05,0.056,0.066,0.077,0.08,0.074,0.063,0.052,0.046,0.046,0.053,0.063,0.073,0.077,0.081,0.089,0.105,0.126,0.143,0.149,0.144,0.135,0.128,0.124,0.12,0.113,0.102,0.088,0.076,0.069,0.067,0.071,0.081,0.092,0.097,0.094,0.087,0.083,0.088,0.101,0.117,0.128,0.133,0.134,0.134,0.132,0.125,0.112,0.098,0.088,0.089,0.098,0.116,0.139,0.164,0.185,0.194,0.189,0.171,0.148,0.125,0.107,0.091,0.077,0.066,0.063,0.069,0.086,0.106,0.12,0.123,0.115,0.102,0.09,0.08,0.072,0.064,0.057,0.049,0.04,0.032,0.026,0.024,0.023,0.024,0.027,0.034,0.044,0.052,0.055,0.054,0.054,0.061,0.072,0.08,0.08,0.073,0.063,0.054,0.047,0.045,0.05,0.06,0.07,0.072,0.065,0.049,0.033,0.02,0.013,0.01,0.012,0.017,0.027,0.043,0.063,0.083,0.098,0.106,0.106,0.101,0.091,0.077,0.064,0.062,0.076,0.104,0.137,0.162,0.177,0.181,0.176,0.163,0.148,0.131,0.113,0.099,0.095,0.111,0.144,0.179,0.195,0.188,0.166,0.143,0.128,0.12,0.117,0.113,0.104,0.092,0.078,0.065,0.056,0.054,0.063,0.082,0.105,0.116,0.107,0.082,0.055,0.042,0.045,0.058,0.072,0.084,0.098,0.118,0.139,0.149,0.142,0.122,0.105,0.101,0.114,0.139,0.165,0.188,0.207,0.222,0.231,0.231,0.221,0.208,0.197,0.189,0.182,0.171,0.16,0.153,0.151,0.15,0.144,0.136,0.133,0.144,0.164,0.182,0.185,0.173,0.16,0.162,0.188,0.233,0.275,0.296,0.285,0.249,0.2,0.15,0.109,0.082,0.07,0.071,0.081,0.102,0.13,0.162,0.187,0.2,0.193,0.168,0.129,0.092,0.067,0.061,0.069,0.084,0.097,0.107,0.114,0.121,0.131,0.138,0.136,0.118,0.092,0.065,0.047,0.037,0.032,0.028,0.023,0.019,0.017,0.019,0.026,0.036,0.048,0.064,0.084,0.105,0.12,0.121,0.107,0.084,0.06,0.045,0.041,0.045,0.05,0.049,0.042,0.033,0.027,0.026,0.03,0.039,0.048,0.056,0.059,0.056,0.053,0.057,0.069,0.085,0.093,0.088,0.07,0.052,0.04,0.038,0.043,0.055,0.07,0.085,0.094,0.096,0.092,0.084,0.076,0.075,0.081,0.091,0.1,0.103,0.101,0.097,0.095,0.093,0.089,0.081,0.07,0.061,0.057,0.059,0.064,0.067,0.068,0.071,0.079,0.088,0.093,0.09,0.08,0.065,0.05,0.041,0.04,0.048,0.063,0.077,0.084,0.08,0.069,0.056,0.047,0.043,0.043,0.045,0.051,0.06,0.073,0.081,0.082,0.072,0.061,0.057,0.063,0.074,0.084,0.086,0.083,0.074,0.064,0.052,0.042,0.036,0.038,0.047,0.061,0.075,0.084,0.088,0.089,0.09,0.089,0.086,0.082,0.076,0.071,0.068,0.068,0.072,0.08,0.087,0.093,0.096,0.097,0.095,0.091,0.087,0.082,0.078,0.074,0.069,0.066,0.068,0.078,0.092,0.103,0.106,0.096,0.076,0.055,0.041,0.039,0.052,0.073,0.09,0.095,0.087,0.076,0.067,0.065,0.066,0.071,0.081,0.099,0.121,0.141,0.153,0.156,0.15,0.138,0.122,0.107,0.097,0.089,0.08,0.068,0.057,0.052,0.057,0.066,0.073,0.072,0.063,0.05,0.04,0.036,0.04,0.049,0.06,0.068,0.071,0.074,0.081,0.095,0.11,0.12,0.126,0.131,0.14,0.148,0.15,0.147,0.145,0.15,0.154,0.151,0.138,0.122,0.112,0.106,0.101,0.095,0.089,0.09,0.095,0.099,0.098,0.092,0.088,0.089,0.093,0.095,0.092,0.086,0.08,0.077,0.077,0.078,0.081,0.087,0.095,0.101,0.1,0.092,0.078,0.066,0.057,0.05,0.044,0.039,0.041,0.047,0.053,0.054,0.049,0.042,0.039,0.041,0.048,0.057,0.062,0.065,0.069,0.082,0.109,0.146,0.179,0.192,0.184,0.164,0.145,0.132,0.125,0.118,0.11,0.102,0.096,0.091,0.087,0.084,0.082,0.081,0.085,0.097,0.115,0.134,0.145,0.145,0.146,0.16,0.195,0.239,0.273,0.277,0.253,0.215,0.18,0.152,0.131,0.114,0.103,0.096,0.091,0.089,0.089,0.099,0.118,0.142,0.162,0.171,0.168,0.161,0.151,0.141,0.128,0.116,0.107,0.103,0.104,0.109,0.115,0.122,0.125,0.125,0.123,0.122,0.124,0.128,0.126,0.118,0.107,0.1,0.1,0.102,0.102,0.101,0.101,0.107,0.118,0.133,0.144,0.145,0.132,0.109,0.088,0.074,0.071,0.076,0.086,0.095,0.1,0.1,0.096,0.089,0.081,0.073,0.07,0.075,0.091,0.116,0.144,0.165,0.17,0.162,0.152,0.152,0.166,0.187,0.204,0.208,0.194,0.167,0.135,0.104,0.081,0.066,0.058,0.054,0.055,0.062,0.078,0.102,0.129,0.147,0.151,0.142,0.129,0.122,0.122,0.127,0.131,0.129,0.122,0.112,0.109,0.115,0.127,0.137,0.14,0.138,0.133,0.126,0.118,0.109,0.101,0.097,0.098,0.101,0.105,0.112,0.126,0.156,0.2,0.249,0.285,0.297,0.281,0.247,0.209,0.178,0.155,0.141,0.133,0.131,0.132,0.135,0.141,0.15,0.162,0.171,0.173,0.165,0.153,0.143,0.142,0.149,0.158,0.165,0.169,0.169,0.164,0.156,0.15,0.149,0.157,0.167,0.172,0.171,0.167,0.164,0.163,0.164,0.162,0.157,0.142,0.119,0.094,0.074,0.063,0.059,0.061,0.071,0.09,0.112,0.13,0.139,0.139,0.135,0.128,0.122,0.12,0.127,0.139,0.146,0.142,0.131,0.124,0.127,0.134,0.138,0.138,0.141,0.155,0.176,0.19,0.189,0.17,0.146,0.129,0.128,0.142,0.166,0.187,0.201,0.209,0.22,0.241,0.268,0.29,0.294,0.273,0.236,0.198,0.173,0.164,0.163,0.166,0.165,0.162,0.155,0.149,0.146,0.15,0.159,0.164,0.158,0.143,0.131,0.128,0.129,0.125,0.114,0.103,0.105,0.125,0.155,0.182,0.195,0.191,0.177,0.162,0.159,0.168,0.184,0.193,0.19,0.18,0.173,0.17,0.163,0.144,0.11,0.072,0.042,0.025,0.023,0.033,0.051,0.071,0.086,0.094,0.094,0.092,0.09,0.093,0.104,0.117,0.123,0.117,0.104,0.095,0.099,0.113,0.126,0.128,0.12,0.108,0.099,0.092,0.085,0.077,0.074,0.076,0.082,0.09,0.099,0.11,0.119,0.12,0.109,0.089,0.068,0.055,0.052,0.057,0.064,0.071,0.076,0.082,0.088,0.095,0.101,0.103,0.101,0.095,0.088,0.083,0.084,0.091,0.1,0.103,0.096,0.082,0.066,0.055,0.05,0.055,0.072,0.099,0.131,0.154,0.162,0.158,0.157,0.168,0.185,0.195,0.19,0.173,0.153,0.135,0.122,0.116,0.118,0.126,0.137,0.145,0.151,0.155,0.158,0.159,0.154,0.138,0.113,0.084,0.059,0.044,0.035,0.03,0.031,0.041,0.062,0.093,0.13,0.169,0.202,0.217,0.21,0.186,0.164,0.157,0.168,0.189,0.207,0.214,0.212,0.203,0.192,0.177,0.159,0.145,0.14,0.147,0.159,0.171,0.183,0.203,0.233,0.265,0.283,0.286,0.277,0.269,0.257,0.241,0.222,0.213,0.222,0.248,0.281,0.315,0.345,0.367,0.379,0.373,0.351,0.316,0.275,0.235,0.204,0.188,0.188,0.193,0.193,0.182,0.167,0.165,0.184,0.223,0.264,0.293,0.303,0.303,0.303,0.304,0.302,0.29,0.267,0.24,0.219,0.21,0.212,0.22,0.23,0.241,0.26,0.293,0.346,0.412,0.478,0.52,0.533,0.511,0.465,0.401,0.332,0.264,0.209,0.174,0.156,0.148,0.141,0.13,0.112,0.094,0.078,0.067,0.06,0.06,0.069,0.087,0.107,0.119,0.118,0.107,0.096,0.096,0.112,0.139,0.167,0.185,0.186,0.173,0.15,0.122,0.093,0.068,0.056,0.065,0.095,0.135,0.167,0.18,0.172,0.153,0.133,0.118,0.11,0.109,0.11,0.108,0.102,0.095,0.091,0.091,0.091,0.085,0.071,0.051,0.033,0.021,0.018,0.023,0.035,0.052,0.072,0.094,0.119,0.151,0.192,0.233,0.264,0.278,0.275,0.259,0.237,0.218,0.209,0.208,0.205,0.19,0.162,0.126,0.093,0.068,0.053,0.045,0.04,0.036,0.029,0.021,0.014,0.011,0.013,0.023,0.04,0.064,0.09,0.113,0.131,0.145,0.157,0.165,0.168,0.162,0.152,0.144,0.14,0.139,0.136,0.127,0.12,0.122,0.136,0.158,0.173,0.174,0.164,0.151,0.142,0.132,0.118,0.1,0.083,0.071,0.062,0.056,0.052,0.054,0.064,0.079,0.094,0.102,0.104,0.103,0.1,0.094,0.081,0.064,0.045,0.031,0.024,0.024,0.029,0.037,0.047,0.055,0.06,0.064,0.069,0.075,0.077,0.073,0.06,0.043,0.027,0.015,0.011,0.013,0.022,0.034,0.049,0.065,0.081,0.094,0.1,0.096,0.086,0.078,0.079,0.088,0.102,0.11,0.11,0.102,0.093,0.09,0.092,0.095,0.092,0.085,0.081,0.084,0.092,0.098,0.095,0.083,0.066,0.05,0.04,0.039,0.043,0.05,0.061,0.073,0.084,0.089,0.085,0.071,0.055,0.042,0.035,0.034,0.039,0.045,0.05,0.051,0.048,0.041,0.033,0.029,0.026,0.026,0.027,0.03,0.033,0.036,0.035,0.031,0.025,0.019,0.017,0.019,0.026,0.034,0.037,0.033,0.023,0.012,0.005,0.001,0.001]