[0.429,0.424,0.414,0.395,0.364,0.313,0.25,0.195,0.17,0.178,0.2,0.214,0.216,0.22,0.242,0.279,0.321,0.346,0.347,0.32,0.275,0.23,0.199,0.188,0.19,0.197,0.211,0.237,0.267,0.285,0.28,0.26,0.243,0.241,0.246,0.24,0.213,0.169,0.13,0.116,0.133,0.168,0.198,0.208,0.197,0.176,0.153,0.132,0.111,0.095,0.088,0.094,0.112,0.139,0.172,0.208,0.242,0.268,0.284,0.292,0.297,0.299,0.292,0.269,0.236,0.197,0.162,0.132,0.112,0.109,0.131,0.18,0.233,0.27,0.282,0.284,0.29,0.3,0.302,0.286,0.256,0.225,0.215,0.234,0.276,0.317,0.332,0.307,0.251,0.184,0.127,0.088,0.07,0.075,0.102,0.137,0.154,0.139,0.101,0.067,0.059,0.086,0.138,0.202,0.26,0.297,0.31,0.304,0.291,0.281,0.278,0.276,0.266,0.24,0.206,0.178,0.175,0.198,0.24,0.284,0.315,0.32,0.301,0.263,0.223,0.189,0.175,0.18,0.194,0.202,0.192,0.165,0.135,0.113,0.106,0.11,0.118,0.123,0.124,0.121,0.124,0.139,0.171,0.21,0.249,0.285,0.321,0.354,0.377,0.382,0.371,0.359,0.356,0.366,0.371,0.356,0.318,0.281,0.269,0.285,0.31,0.32,0.31,0.298,0.302,0.318,0.324,0.307,0.279,0.262,0.267,0.278,0.269,0.23,0.177,0.135,0.122,0.14,0.18,0.218,0.235,0.224,0.198,0.174,0.161,0.156,0.16,0.182,0.22,0.26,0.285,0.297,0.311,0.33,0.338,0.315,0.264,0.208,0.179,0.187,0.213,0.227,0.216,0.187,0.169,0.18,0.225,0.281,0.325,0.338,0.319,0.275,0.222,0.176,0.158,0.178,0.227,0.28,0.305,0.288,0.242,0.194,0.167,0.163,0.172,0.193,0.24,0.312,0.381,0.398,0.34,0.232,0.124,0.06,0.054,0.095,0.165,0.235,0.279,0.277,0.232,0.168,0.121,0.108,0.123,0.143,0.16,0.181,0.22,0.268,0.299,0.288,0.239,0.176,0.128,0.106,0.099,0.091,0.077,0.07,0.086,0.128,0.176,0.206,0.202,0.175,0.153,0.162,0.203,0.257,0.297,0.307,0.287,0.25,0.209,0.18,0.166,0.165,0.165,0.162,0.163,0.175,0.196,0.211,0.21,0.196,0.177,0.155,0.129,0.102,0.085,0.091,0.121,0.164,0.203,0.226,0.236,0.244,0.264,0.286,0.292,0.27,0.234,0.209,0.211,0.234,0.257,0.267,0.266,0.269,0.281,0.291,0.282,0.246,0.196,0.151,0.131,0.142,0.181,0.232,0.268,0.262,0.212,0.146,0.102,0.106,0.149,0.2,0.229,0.231,0.228,0.242,0.27,0.287,0.275,0.246,0.228,0.242,0.277,0.307,0.308,0.284,0.251,0.226,0.212,0.207,0.208,0.214,0.223,0.23,0.235,0.242,0.255,0.273,0.294,0.315,0.325,0.307,0.26,0.204,0.178,0.202,0.262,0.32,0.338,0.316,0.281,0.264,0.269,0.282,0.284,0.278,0.271,0.266,0.255,0.236,0.213,0.198,0.202,0.226,0.261,0.291,0.3,0.288,0.27,0.27,0.292,0.323,0.347,0.359,0.368,0.378,0.38,0.363,0.32,0.259,0.204,0.181,0.201,0.242,0.264,0.246,0.201,0.162,0.152,0.169,0.206,0.248,0.283,0.291,0.263,0.206,0.143,0.093,0.063,0.051,0.06,0.094,0.15,0.208,0.25,0.264,0.262,0.262,0.268,0.269,0.255,0.228,0.203,0.189,0.188,0.194,0.197,0.191,0.181,0.177,0.184,0.195,0.199,0.196,0.195,0.2,0.208,0.206,0.19,0.165,0.14,0.121,0.117,0.135,0.176,0.225,0.261,0.27,0.261,0.25,0.244,0.235,0.212,0.174,0.131,0.098,0.097,0.138,0.216,0.297,0.342,0.33,0.268,0.187,0.12,0.084,0.082,0.111,0.161,0.22,0.268,0.293,0.292,0.279,0.262,0.245,0.228,0.218,0.222,0.238,0.256,0.266,0.266,0.257,0.245,0.24,0.25,0.276,0.302,0.311,0.298,0.275,0.259,0.255,0.259,0.264,0.27,0.27,0.262,0.244,0.223,0.199,0.178,0.164,0.168,0.197,0.253,0.327,0.398,0.437,0.429,0.379,0.317,0.268,0.246,0.251,0.27,0.287,0.29,0.282,0.281,0.299,0.329,0.35,0.344,0.311,0.266,0.224,0.195,0.182,0.188,0.214,0.25,0.275,0.271,0.236,0.186,0.138,0.103,0.076,0.053,0.032,0.017,0.011,0.023,0.057,0.117,0.197,0.278,0.338,0.364,0.362,0.349,0.336,0.319,0.294,0.259,0.219,0.179,0.148,0.13,0.131,0.153,0.192,0.236,0.272,0.287,0.283,0.265,0.238,0.199,0.147,0.094,0.058,0.052,0.079,0.132,0.19,0.23,0.238,0.219,0.197,0.192,0.203,0.212,0.204,0.18,0.151,0.131,0.127,0.134,0.141,0.141,0.139,0.144,0.168,0.209,0.254,0.281,0.278,0.246,0.209,0.19,0.201,0.226,0.248,0.25,0.235,0.209,0.181,0.155,0.139,0.134,0.137,0.137,0.129,0.114,0.097,0.081,0.073,0.08,0.11,0.159,0.207,0.228,0.213,0.174,0.133,0.108,0.103,0.107,0.107,0.1,0.092,0.093,0.105,0.119,0.127,0.129,0.132,0.136,0.144,0.154,0.167,0.181,0.196,0.205,0.204,0.183,0.141,0.092,0.061,0.068,0.115,0.182,0.235,0.245,0.209,0.145,0.085,0.048,0.038,0.05,0.071,0.089,0.094,0.09,0.082,0.083,0.096,0.118,0.138,0.153,0.171,0.201,0.236,0.259,0.254,0.218,0.165,0.112,0.071,0.045,0.029,0.019,0.013,0.015,0.033,0.074,0.138,0.207,0.26,0.283,0.284,0.285,0.301,0.328,0.339,0.311,0.245,0.17,0.126,0.132,0.171,0.2,0.19,0.144,0.097,0.085,0.123,0.199,0.28,0.337,0.35,0.323,0.273,0.227,0.2,0.199,0.212,0.226,0.23,0.229,0.227,0.237,0.255,0.267,0.254,0.216,0.174,0.162,0.192,0.249,0.3,0.323,0.315,0.291,0.266,0.248,0.236,0.221,0.2,0.179,0.175,0.195,0.228,0.257,0.272,0.277,0.279,0.279,0.274,0.268,0.266,0.271,0.277,0.278,0.267,0.246,0.22,0.204,0.207,0.23,0.257,0.272,0.262,0.232,0.198,0.184,0.199,0.232,0.256,0.262,0.256,0.259,0.266,0.263,0.234,0.186,0.14,0.119,0.128,0.157,0.184,0.193,0.182,0.165,0.155,0.157,0.168,0.188,0.21,0.227,0.223,0.195,0.153,0.121,0.111,0.121,0.133,0.133,0.119,0.103,0.097,0.11,0.144,0.188,0.221,0.222,0.188,0.14,0.11,0.117,0.152,0.192,0.224,0.246,0.261,0.262,0.237,0.184,0.116,0.059,0.029,0.033,0.067,0.121,0.179,0.218,0.226,0.203,0.166,0.131,0.105,0.086,0.068,0.05,0.036,0.034,0.047,0.07,0.09,0.103,0.105,0.099,0.086,0.07,0.058,0.059,0.076,0.108,0.149,0.19,0.218,0.218,0.19,0.143,0.098,0.074,0.076,0.099,0.128,0.147,0.148,0.133,0.111,0.092,0.079,0.069,0.058,0.048,0.039,0.037,0.04,0.051,0.07,0.097,0.127,0.158,0.184,0.206,0.223,0.235,0.236,0.221,0.186,0.137,0.09,0.06,0.053,0.06,0.064,0.058,0.04,0.025,0.02,0.032,0.059,0.095,0.125,0.138,0.131,0.117,0.112,0.125,0.148,0.167,0.179,0.186,0.195,0.202,0.204,0.191,0.163,0.127,0.091,0.066,0.053,0.05,0.057,0.077,0.115,0.165,0.203,0.21,0.182,0.135,0.092,0.065,0.049,0.037,0.027,0.024,0.031,0.046,0.062,0.08,0.103,0.135,0.165,0.178,0.162,0.125,0.083,0.057,0.053,0.067,0.084,0.091,0.086,0.076,0.07,0.066,0.063,0.059,0.059,0.065,0.073,0.074,0.07,0.07,0.082,0.104,0.124,0.13,0.127,0.126,0.13,0.136,0.136,0.135,0.138,0.149,0.159,0.162,0.152,0.14,0.133,0.136,0.139,0.133,0.116,0.098,0.096,0.117,0.152,0.181,0.187,0.167,0.132,0.099,0.081,0.081,0.097,0.124,0.155,0.179,0.186,0.177,0.159,0.146,0.149,0.17,0.199,0.219,0.219,0.199,0.169,0.137,0.105,0.074,0.049,0.036,0.033,0.033,0.031,0.024,0.017,0.019,0.033,0.06,0.096,0.135,0.166,0.185,0.184,0.166,0.136,0.104,0.08,0.07,0.077,0.098,0.123,0.139,0.139,0.124,0.103,0.084,0.07,0.059,0.053,0.053,0.06,0.068,0.071,0.071,0.07,0.072,0.075,0.07,0.058,0.045,0.04,0.048,0.07,0.107,0.16,0.219,0.273,0.309,0.33,0.344,0.362,0.38,0.385,0.366,0.325,0.283,0.269,0.292,0.332,0.351,0.328,0.277,0.233,0.222,0.24,0.265,0.281,0.284,0.275,0.258,0.227,0.196,0.178,0.185,0.202,0.208,0.188,0.157,0.137,0.148,0.183,0.225,0.255,0.255,0.219,0.157,0.091,0.04,0.016,0.016,0.039,0.088,0.16,0.245,0.319,0.368,0.387,0.39,0.381,0.367,0.349,0.335,0.328,0.332,0.336,0.331,0.309,0.284,0.273,0.29,0.323,0.343,0.328,0.278,0.219,0.185,0.196,0.236,0.266,0.253,0.201,0.141,0.112,0.124,0.162,0.197,0.201,0.171,0.12,0.074,0.056,0.076,0.124,0.174,0.2,0.19,0.162,0.142,0.149,0.18,0.215,0.239,0.241,0.224,0.193,0.156,0.12,0.091,0.077,0.078,0.094,0.116,0.139,0.159,0.176,0.187,0.19,0.184,0.171,0.151,0.132,0.129,0.152,0.196,0.239,0.266,0.276,0.28,0.281,0.274,0.255,0.229,0.207,0.189,0.173,0.16,0.162,0.187,0.229,0.274,0.312,0.335,0.337,0.308,0.255,0.202,0.18,0.198,0.238,0.268,0.272,0.254,0.231,0.22,0.226,0.244,0.258,0.253,0.226,0.19,0.164,0.153,0.15,0.135,0.104,0.065,0.035,0.031,0.057,0.109,0.172,0.225,0.251,0.25,0.234,0.224,0.235,0.261,0.285,0.292,0.282,0.266,0.257,0.257,0.257,0.247,0.22,0.179,0.135,0.101,0.083,0.085,0.1,0.124,0.155,0.192,0.23,0.255,0.26,0.252,0.252,0.271,0.302,0.324,0.321,0.293,0.252,0.214,0.187,0.175,0.174,0.177,0.174,0.159,0.136,0.118,0.109,0.108,0.105,0.094,0.083,0.081,0.093,0.113,0.14,0.18,0.239,0.31,0.371,0.403,0.402,0.378,0.348,0.323,0.299,0.265,0.216,0.162,0.127,0.141,0.213,0.325,0.428,0.47,0.425,0.316,0.189,0.092,0.044,0.045,0.085,0.154,0.232,0.297,0.336,0.353,0.355,0.342,0.31,0.27,0.251,0.273,0.326,0.374,0.385,0.355,0.303,0.25,0.221,0.228,0.271,0.323,0.36,0.372,0.377,0.389,0.401,0.398,0.376,0.347,0.32,0.297,0.274,0.248,0.222,0.193,0.161,0.128,0.105,0.101,0.119,0.155,0.204,0.252,0.284,0.283,0.249,0.201,0.166,0.162,0.187,0.224,0.255,0.267,0.261,0.25,0.245,0.256,0.278,0.298,0.307,0.305,0.3,0.294,0.286,0.278,0.277,0.279,0.277,0.256,0.223,0.196,0.191,0.203,0.214,0.207,0.187,0.168,0.155,0.142,0.121,0.096,0.081,0.083,0.097,0.118,0.144,0.176,0.204,0.214,0.197,0.163,0.138,0.143,0.175,0.212,0.23,0.221,0.195,0.165,0.153,0.174,0.225,0.282,0.313,0.302,0.263,0.22,0.186,0.158,0.133,0.121,0.136,0.178,0.232,0.278,0.305,0.31,0.292,0.251,0.196,0.149,0.135,0.163,0.218,0.269,0.293,0.285,0.262,0.24,0.231,0.235,0.248,0.266,0.28,0.281,0.26,0.218,0.172,0.143,0.14,0.152,0.163,0.163,0.152,0.136,0.119,0.106,0.096,0.094,0.098,0.108,0.121,0.132,0.141,0.143,0.137,0.122,0.101,0.08,0.067,0.062,0.065,0.068,0.07,0.067,0.064,0.067,0.084,0.118,0.165,0.207,0.236,0.253,0.274,0.302,0.323,0.318,0.282,0.239,0.215,0.223,0.246,0.26,0.25,0.217,0.172,0.125,0.081,0.045,0.025,0.027,0.055,0.107,0.174,0.238,0.28,0.292,0.275,0.242,0.209,0.184,0.173,0.168,0.163,0.16,0.16,0.169,0.181,0.185,0.173,0.15,0.136,0.142,0.158,0.169,0.17,0.167,0.172,0.18,0.185,0.179,0.161,0.131,0.096,0.067,0.059,0.079,0.119,0.158,0.178,0.178,0.172,0.173,0.185,0.195,0.191,0.175,0.157,0.151,0.155,0.163,0.165,0.165,0.168,0.174,0.17,0.149,0.118,0.1,0.113,0.157,0.213,0.263,0.3,0.326,0.345,0.354,0.352,0.341,0.323,0.289,0.233,0.166,0.115,0.104,0.138,0.191,0.234,0.25,0.247,0.244,0.244,0.239,0.225,0.211,0.207,0.203,0.182,0.138,0.088,0.061,0.073,0.118,0.168,0.194,0.18,0.137,0.097,0.086,0.114,0.17,0.233,0.279,0.29,0.262,0.204,0.136,0.075,0.035,0.019,0.03,0.066,0.122,0.184,0.235,0.266,0.273,0.26,0.232,0.195,0.159,0.13,0.113,0.104,0.099,0.095,0.096,0.102,0.113,0.116,0.104,0.081,0.064,0.072,0.113,0.172,0.221,0.233,0.206,0.156,0.114,0.094,0.095,0.1,0.098,0.087,0.076,0.074,0.082,0.092,0.094,0.087,0.073,0.057,0.043,0.034,0.036,0.056,0.096,0.148,0.194,0.209,0.185,0.141,0.112,0.116,0.144,0.166,0.168,0.157,0.152,0.154,0.155,0.143,0.126,0.111,0.103,0.098,0.094,0.092,0.088,0.081,0.065,0.045,0.025,0.015,0.015,0.024,0.035,0.044,0.052,0.068,0.096,0.127,0.149,0.156,0.164,0.195,0.255,0.327,0.38,0.396,0.376,0.336,0.299,0.284,0.294,0.319,0.347,0.366,0.366,0.337,0.279,0.209,0.161,0.161,0.207,0.268,0.304,0.298,0.271,0.257,0.283,0.344,0.415,0.471,0.494,0.476,0.416,0.333,0.264,0.237,0.254,0.297,0.346,0.387,0.405,0.384,0.325,0.246,0.179,0.139,0.125,0.12,0.116,0.116,0.134,0.174,0.227,0.273,0.289,0.261,0.198,0.123,0.06,0.023,0.007,0.002,0.001,0.001,0.001,0.001,0.001,0.003,0.012,0.035,0.081,0.158,0.259,0.367,0.444,0.466,0.424,0.347,0.265,0.204,0.164,0.145,0.147,0.174,0.218,0.259,0.277,0.27,0.251,0.237,0.231,0.231,0.234,0.247,0.268,0.285,0.285,0.269,0.252,0.249,0.267,0.292,0.31,0.306,0.28,0.24,0.197,0.165,0.152,0.16,0.18,0.205,0.228,0.248,0.261,0.261,0.243,0.211,0.18,0.167,0.174,0.188,0.195,0.192,0.187,0.184,0.182,0.178,0.179,0.19,0.21,0.226,0.223,0.197,0.166,0.149,0.161,0.191,0.221,0.232,0.219,0.188,0.155,0.139,0.151,0.185,0.218,0.231,0.217,0.19,0.166,0.161,0.181,0.215,0.24,0.232,0.191,0.141,0.111,0.115,0.146,0.181,0.204,0.205,0.185,0.149,0.116,0.1,0.108,0.129,0.141,0.13,0.1,0.069,0.054,0.064,0.099,0.147,0.195,0.228,0.242,0.237,0.217,0.184,0.148,0.122,0.118,0.14,0.178,0.218,0.241,0.24,0.222,0.207,0.208,0.226,0.252,0.278,0.297,0.305,0.297,0.274,0.241,0.21,0.185,0.173,0.168,0.168,0.161,0.141,0.109,0.08,0.076,0.11,0.176,0.249,0.307,0.344,0.368,0.38,0.367,0.317,0.245,0.186,0.171,0.207,0.278,0.356,0.407,0.411,0.365,0.286,0.196,0.117,0.06,0.031,0.028,0.051,0.097,0.156,0.209,0.231,0.211,0.165,0.131,0.14,0.195,0.268,0.315,0.311,0.263,0.207,0.174,0.169,0.177,0.184,0.188,0.198,0.216,0.236,0.251,0.257,0.254,0.242,0.222,0.2,0.179,0.159,0.134,0.101,0.072,0.059,0.063,0.072,0.071,0.061,0.055,0.068,0.103,0.145,0.173,0.174,0.148,0.11,0.077,0.071,0.106,0.181,0.273,0.35,0.382,0.36,0.291,0.2,0.113,0.057,0.04,0.066,0.124,0.194,0.251,0.274,0.259,0.219,0.172,0.136,0.123,0.134,0.161,0.184,0.19,0.179,0.158,0.137,0.12,0.106,0.099,0.101,0.106,0.105,0.091,0.071,0.063,0.081,0.121,0.164,0.192,0.2,0.196,0.191,0.191,0.193,0.193,0.188,0.177,0.159,0.134,0.103,0.074,0.051,0.038,0.033,0.042,0.069,0.111,0.158,0.2,0.23,0.254,0.276,0.296,0.306,0.3,0.273,0.235,0.194,0.164,0.153,0.166,0.197,0.233,0.263,0.281,0.294,0.309,0.319,0.299,0.24,0.156,0.081,0.039,0.037,0.062,0.096,0.12,0.124,0.113,0.102,0.104,0.112,0.112,0.097,0.077,0.074,0.098,0.138,0.17,0.18,0.18,0.196,0.238,0.285,0.303,0.285,0.249,0.221,0.208,0.201,0.193,0.18,0.162,0.137,0.103,0.066,0.036,0.02,0.017,0.023,0.032,0.043,0.06,0.084,0.11,0.131,0.142,0.151,0.165,0.185,0.2,0.199,0.181,0.153,0.126,0.104,0.085,0.066,0.046,0.032,0.026,0.027,0.029,0.032,0.042,0.066,0.105,0.146,0.173,0.178,0.166,0.151,0.141,0.136,0.128,0.111,0.091,0.08,0.095,0.133,0.18,0.213,0.217,0.195,0.162,0.129,0.1,0.074,0.052,0.038,0.035,0.039,0.041,0.036,0.025,0.018,0.021,0.037,0.064,0.089,0.104,0.104,0.091,0.07,0.05,0.038,0.039,0.056,0.084,0.11,0.124,0.122,0.109,0.09,0.068,0.048,0.031,0.026,0.036,0.058,0.088,0.12,0.154,0.185,0.203,0.195,0.159,0.108,0.061,0.029,0.017,0.023,0.046,0.078,0.111,0.133,0.139,0.129,0.108,0.086,0.073,0.075,0.09,0.106,0.115,0.122,0.138,0.168,0.195,0.202,0.186,0.168,0.165,0.178,0.191,0.185,0.155,0.111,0.066,0.035,0.024,0.037,0.073,0.124,0.178,0.219,0.241,0.247,0.248,0.247,0.238,0.217,0.188,0.163,0.146,0.132,0.113,0.092,0.081,0.093,0.122,0.147,0.145,0.115,0.077,0.05,0.041,0.041,0.038,0.03,0.024,0.027,0.042,0.061,0.071,0.068,0.055,0.043,0.041,0.047,0.058,0.073,0.09,0.102,0.105,0.102,0.102,0.112,0.133,0.158,0.18,0.194,0.2,0.196,0.177,0.142,0.098,0.057,0.035,0.036,0.058,0.09,0.122,0.14,0.137,0.115,0.086,0.07,0.076,0.103,0.134,0.153,0.153,0.139,0.121,0.102,0.084,0.067,0.052,0.044,0.049,0.068,0.097,0.123,0.137,0.133,0.119,0.1,0.084,0.078,0.083,0.099,0.125,0.159,0.199,0.239,0.272,0.29,0.285,0.255,0.203,0.144,0.094,0.062,0.047,0.039,0.031,0.02,0.011,0.006,0.006,0.011,0.016,0.022,0.032,0.052,0.083,0.119,0.145,0.151,0.138,0.119,0.107,0.107,0.115,0.123,0.126,0.12,0.107,0.087,0.066,0.048,0.036,0.031,0.034,0.048,0.071,0.102,0.133,0.16,0.18,0.197,0.207,0.212,0.21,0.206,0.198,0.189,0.177,0.165,0.154,0.153,0.172,0.214,0.264,0.294,0.278,0.219,0.146,0.091,0.072,0.08,0.094,0.093,0.079,0.065,0.072,0.097,0.126,0.133,0.112,0.075,0.042,0.03,0.039,0.057,0.07,0.069,0.057,0.048,0.052,0.068,0.081,0.079,0.061,0.037,0.017,0.006,0.005,0.013,0.028,0.049,0.074,0.103,0.141,0.186,0.221,0.228,0.2,0.157,0.126,0.117,0.121,0.124,0.116,0.102,0.089,0.078,0.069,0.068,0.086,0.133,0.195,0.248,0.267,0.243,0.189,0.127,0.075,0.045,0.045,0.07,0.105,0.128,0.123,0.093,0.055,0.025,0.008,0.003,0.001,0.002,0.006,0.015,0.029,0.045,0.056,0.061,0.061,0.06,0.056,0.052,0.054,0.067,0.084,0.092,0.089,0.087,0.105,0.149,0.202,0.237,0.238,0.212,0.18,0.164,0.171,0.201,0.249,0.306,0.355,0.376,0.352,0.292,0.215,0.15,0.114,0.114,0.135,0.156,0.159,0.14,0.11,0.081,0.061,0.054]