[0.037,0.039,0.043,0.047,0.05,0.052,0.053,0.055,0.058,0.062,0.067,0.068,0.067,0.063,0.059,0.056,0.056,0.056,0.057,0.061,0.074,0.101,0.136,0.163,0.172,0.164,0.157,0.164,0.184,0.204,0.215,0.219,0.223,0.226,0.219,0.193,0.153,0.114,0.087,0.075,0.075,0.076,0.075,0.071,0.071,0.083,0.111,0.15,0.185,0.206,0.208,0.202,0.204,0.217,0.236,0.25,0.254,0.25,0.239,0.22,0.193,0.172,0.171,0.195,0.229,0.253,0.257,0.244,0.224,0.206,0.19,0.176,0.159,0.14,0.119,0.102,0.094,0.099,0.119,0.151,0.185,0.205,0.206,0.19,0.172,0.164,0.172,0.19,0.212,0.228,0.234,0.23,0.22,0.215,0.219,0.23,0.239,0.235,0.214,0.18,0.152,0.148,0.174,0.218,0.258,0.281,0.288,0.287,0.28,0.268,0.251,0.233,0.214,0.193,0.167,0.138,0.111,0.1,0.109,0.137,0.167,0.183,0.174,0.146,0.113,0.094,0.1,0.129,0.168,0.201,0.223,0.238,0.253,0.264,0.262,0.243,0.216,0.193,0.175,0.163,0.155,0.159,0.176,0.202,0.221,0.228,0.222,0.212,0.209,0.217,0.229,0.236,0.233,0.219,0.196,0.17,0.152,0.152,0.173,0.202,0.226,0.238,0.243,0.24,0.228,0.207,0.183,0.169,0.173,0.188,0.204,0.213,0.22,0.232,0.25,0.263,0.263,0.252,0.243,0.243,0.252,0.261,0.264,0.256,0.234,0.202,0.173,0.158,0.161,0.171,0.175,0.169,0.158,0.156,0.169,0.197,0.228,0.253,0.269,0.274,0.267,0.248,0.227,0.215,0.219,0.238,0.257,0.265,0.255,0.234,0.212,0.198,0.195,0.199,0.2,0.188,0.162,0.129,0.1,0.082,0.079,0.085,0.095,0.104,0.107,0.107,0.111,0.13,0.17,0.223,0.274,0.3,0.295,0.267,0.24,0.226,0.231,0.238,0.235,0.219,0.202,0.193,0.196,0.205,0.212,0.211,0.201,0.184,0.162,0.139,0.126,0.126,0.14,0.16,0.181,0.197,0.208,0.21,0.203,0.189,0.174,0.166,0.172,0.195,0.227,0.259,0.28,0.289,0.288,0.279,0.265,0.25,0.238,0.231,0.227,0.221,0.215,0.212,0.209,0.196,0.17,0.138,0.115,0.114,0.134,0.164,0.188,0.204,0.213,0.222,0.229,0.228,0.221,0.216,0.221,0.235,0.253,0.269,0.283,0.286,0.274,0.246,0.212,0.186,0.176,0.177,0.186,0.197,0.21,0.221,0.223,0.211,0.192,0.179,0.18,0.191,0.199,0.198,0.188,0.176,0.168,0.165,0.163,0.161,0.156,0.15,0.149,0.162,0.195,0.244,0.293,0.327,0.334,0.317,0.289,0.269,0.266,0.278,0.292,0.301,0.299,0.288,0.276,0.272,0.277,0.282,0.273,0.245,0.203,0.168,0.157,0.177,0.215,0.251,0.268,0.264,0.249,0.23,0.209,0.188,0.174,0.18,0.214,0.265,0.315,0.343,0.343,0.323,0.3,0.284,0.275,0.267,0.252,0.233,0.209,0.188,0.174,0.174,0.188,0.211,0.233,0.246,0.244,0.229,0.209,0.196,0.199,0.218,0.243,0.259,0.254,0.226,0.187,0.155,0.148,0.171,0.217,0.268,0.306,0.316,0.3,0.271,0.244,0.227,0.211,0.19,0.163,0.144,0.141,0.156,0.18,0.204,0.222,0.231,0.228,0.212,0.185,0.156,0.136,0.13,0.137,0.151,0.168,0.188,0.212,0.235,0.252,0.254,0.244,0.227,0.211,0.196,0.179,0.159,0.143,0.144,0.166,0.203,0.237,0.254,0.247,0.22,0.189,0.169,0.167,0.176,0.187,0.196,0.206,0.22,0.236,0.247,0.245,0.233,0.21,0.19,0.178,0.179,0.187,0.196,0.201,0.201,0.196,0.189,0.187,0.203,0.247,0.308,0.357,0.369,0.34,0.293,0.252,0.229,0.222,0.223,0.233,0.255,0.287,0.318,0.332,0.32,0.293,0.271,0.268,0.279,0.292,0.295,0.291,0.288,0.288,0.283,0.264,0.23,0.19,0.16,0.148,0.156,0.18,0.214,0.241,0.251,0.241,0.228,0.226,0.244,0.273,0.297,0.3,0.279,0.24,0.195,0.163,0.156,0.169,0.191,0.21,0.226,0.243,0.26,0.274,0.28,0.281,0.276,0.263,0.24,0.213,0.19,0.182,0.19,0.208,0.223,0.228,0.225,0.225,0.231,0.239,0.241,0.235,0.222,0.206,0.185,0.159,0.13,0.106,0.094,0.099,0.113,0.125,0.124,0.111,0.095,0.086,0.091,0.109,0.14,0.174,0.205,0.226,0.236,0.234,0.226,0.214,0.207,0.206,0.212,0.22,0.224,0.22,0.208,0.192,0.18,0.178,0.188,0.205,0.224,0.24,0.254,0.261,0.256,0.239,0.216,0.194,0.173,0.147,0.116,0.088,0.074,0.085,0.128,0.2,0.282,0.337,0.342,0.301,0.245,0.206,0.196,0.2,0.199,0.18,0.147,0.111,0.085,0.075,0.081,0.097,0.114,0.125,0.132,0.139,0.15,0.168,0.192,0.224,0.265,0.309,0.348,0.377,0.395,0.401,0.395,0.381,0.359,0.328,0.284,0.232,0.188,0.166,0.166,0.178,0.189,0.198,0.206,0.212,0.214,0.208,0.193,0.171,0.15,0.14,0.146,0.166,0.184,0.192,0.194,0.2,0.214,0.219,0.205,0.172,0.14,0.128,0.142,0.171,0.2,0.222,0.243,0.262,0.276,0.278,0.264,0.236,0.199,0.16,0.129,0.116,0.126,0.149,0.176,0.196,0.209,0.215,0.215,0.209,0.204,0.2,0.194,0.181,0.167,0.165,0.187,0.226,0.26,0.269,0.246,0.205,0.171,0.159,0.171,0.198,0.229,0.256,0.274,0.279,0.271,0.254,0.228,0.192,0.154,0.13,0.138,0.18,0.241,0.293,0.321,0.324,0.32,0.317,0.318,0.316,0.309,0.293,0.27,0.246,0.233,0.237,0.249,0.247,0.22,0.177,0.146,0.144,0.178,0.238,0.311,0.382,0.433,0.45,0.431,0.389,0.347,0.322,0.318,0.327,0.339,0.345,0.344,0.334,0.31,0.269,0.214,0.153,0.1,0.065,0.047,0.045,0.052,0.063,0.081,0.106,0.144,0.194,0.255,0.322,0.384,0.423,0.421,0.379,0.315,0.257,0.219,0.2,0.191,0.189,0.193,0.199,0.205,0.208,0.203,0.189,0.172,0.168,0.187,0.229,0.282,0.329,0.357,0.362,0.35,0.332,0.315,0.299,0.284,0.272,0.267,0.266,0.262,0.25,0.241,0.242,0.254,0.265,0.268,0.263,0.258,0.262,0.271,0.277,0.273,0.259,0.243,0.231,0.221,0.211,0.199,0.186,0.172,0.159,0.149,0.147,0.157,0.178,0.208,0.241,0.273,0.297,0.308,0.301,0.272,0.224,0.165,0.109,0.074,0.072,0.106,0.163,0.22,0.251,0.246,0.217,0.189,0.187,0.215,0.255,0.286,0.298,0.309,0.342,0.405,0.485,0.552,0.582,0.56,0.489,0.385,0.278,0.203,0.185,0.224,0.297,0.363,0.386,0.354,0.287,0.22,0.183,0.18,0.193,0.198,0.194,0.201,0.244,0.324,0.421,0.502,0.553,0.578,0.593,0.603,0.61,0.612,0.613,0.614,0.609,0.595,0.57,0.543,0.519,0.505,0.498,0.497,0.497,0.494,0.494,0.506,0.533,0.567,0.596,0.611,0.61,0.592,0.559,0.507,0.435,0.345,0.256,0.192,0.177,0.218,0.294,0.371,0.418,0.417,0.373,0.303,0.23,0.173,0.138,0.129,0.146,0.193,0.26,0.322,0.352,0.335,0.278,0.202,0.13,0.077,0.044,0.028,0.022,0.021,0.021,0.023,0.028,0.04,0.066,0.108,0.156,0.193,0.204,0.19,0.166,0.152,0.162,0.191,0.218,0.223,0.198,0.161,0.134,0.137,0.164,0.201,0.227,0.234,0.227,0.212,0.192,0.169,0.143,0.131,0.146,0.187,0.233,0.257,0.25,0.226,0.203,0.182,0.155,0.116,0.077,0.056,0.06,0.083,0.117,0.154,0.191,0.225,0.247,0.251,0.236,0.205,0.167,0.134,0.12,0.131,0.164,0.202,0.227,0.23,0.213,0.19,0.178,0.182,0.195,0.203,0.201,0.198,0.199,0.201,0.194,0.175,0.152,0.142,0.151,0.171,0.192,0.209,0.233,0.264,0.293,0.302,0.284,0.253,0.225,0.209,0.195,0.168,0.126,0.087,0.074,0.098,0.146,0.19,0.204,0.178,0.127,0.073,0.036,0.023,0.03,0.049,0.073,0.095,0.112,0.124,0.133,0.134,0.129,0.128,0.144,0.185,0.242,0.291,0.309,0.287,0.233,0.165,0.103,0.055,0.028,0.023,0.045,0.095,0.166,0.235,0.28,0.292,0.287,0.279,0.279,0.286,0.299,0.312,0.317,0.314,0.307,0.301,0.299,0.294,0.284,0.259,0.222,0.178,0.147,0.141,0.164,0.205,0.252,0.294,0.317,0.313,0.285,0.242,0.194,0.147,0.104,0.075,0.072,0.102,0.156,0.216,0.26,0.279,0.276,0.264,0.249,0.23,0.2,0.164,0.139,0.138,0.162,0.192,0.212,0.216,0.208,0.189,0.161,0.129,0.108,0.114,0.153,0.213,0.264,0.282,0.263,0.226,0.197,0.192,0.206,0.222,0.224,0.209,0.186,0.169,0.166,0.171,0.173,0.163,0.143,0.118,0.09,0.063,0.04,0.024,0.017,0.014,0.014,0.019,0.033,0.069,0.131,0.214,0.29,0.33,0.317,0.257,0.178,0.11,0.075,0.082,0.124,0.18,0.23,0.262,0.278,0.285,0.283,0.269,0.243,0.217,0.201,0.191,0.174,0.142,0.1,0.059,0.031,0.02,0.026,0.048,0.078,0.106,0.12,0.12,0.119,0.131,0.151,0.162,0.151,0.116,0.074,0.04,0.02,0.013,0.018,0.04,0.081,0.136,0.188,0.22,0.224,0.204,0.175,0.154,0.151,0.164,0.183,0.192,0.184,0.164,0.151,0.154,0.171,0.187,0.189,0.173,0.145,0.117,0.099,0.095,0.101,0.107,0.108,0.103,0.097,0.095,0.103,0.125,0.158,0.188,0.2,0.183,0.142,0.093,0.057,0.044,0.055,0.08,0.106,0.126,0.14,0.154,0.171,0.187,0.2,0.21,0.215,0.209,0.193,0.171,0.148,0.133,0.13,0.144,0.17,0.197,0.214,0.215,0.204,0.182,0.158,0.142,0.14,0.146,0.15,0.139,0.114,0.08,0.049,0.028,0.023,0.038,0.072,0.118,0.161,0.192,0.204,0.205,0.199,0.189,0.179,0.174,0.184,0.207,0.23,0.236,0.221,0.194,0.173,0.167,0.165,0.152,0.122,0.085,0.055,0.043,0.052,0.076,0.103,0.121,0.133,0.15,0.182,0.224,0.263,0.284,0.285,0.266,0.234,0.202,0.181,0.172,0.167,0.156,0.133,0.101,0.068,0.045,0.04,0.051,0.069,0.084,0.09,0.089,0.094,0.112,0.145,0.182,0.209,0.218,0.214,0.207,0.202,0.201,0.197,0.189,0.179,0.173,0.172,0.174,0.172,0.165,0.158,0.155,0.156,0.159,0.164,0.178,0.205,0.24,0.271,0.282,0.263,0.219,0.166,0.12,0.087,0.068,0.06,0.072,0.107,0.162,0.218,0.251,0.257,0.249,0.247,0.251,0.253,0.243,0.228,0.215,0.209,0.205,0.2,0.191,0.177,0.155,0.135,0.125,0.128,0.137,0.145,0.149,0.154,0.155,0.149,0.132,0.105,0.079,0.064,0.069,0.091,0.117,0.138,0.152,0.166,0.178,0.181,0.167,0.139,0.107,0.083,0.077,0.097,0.14,0.193,0.236,0.25,0.235,0.212,0.208,0.235,0.281,0.318,0.327,0.311,0.281,0.253,0.235,0.234,0.25,0.269,0.269,0.244,0.209,0.188,0.188,0.192,0.178,0.141,0.096,0.066,0.062,0.082,0.116,0.154,0.182,0.199,0.205,0.207,0.205,0.2,0.188,0.172,0.156,0.142,0.134,0.129,0.12,0.103,0.087,0.09,0.127,0.19,0.256,0.299,0.312,0.305,0.29,0.271,0.243,0.204,0.166,0.145,0.15,0.168,0.179,0.163,0.127,0.092,0.089,0.129,0.201,0.273,0.317,0.325,0.311,0.291,0.272,0.251,0.228,0.213,0.218,0.245,0.275,0.284,0.261,0.219,0.187,0.183,0.201,0.215,0.209,0.182,0.148,0.117,0.091,0.073,0.069,0.085,0.119,0.156,0.186,0.203,0.209,0.202,0.182,0.147,0.105,0.067,0.04,0.027,0.028,0.045,0.074,0.111,0.148,0.181,0.205,0.216,0.212,0.201,0.196,0.211,0.243,0.275,0.289,0.273,0.235,0.191,0.161,0.156,0.173,0.2,0.218,0.219,0.205,0.183,0.165,0.154,0.157,0.174,0.198,0.212,0.199,0.163,0.119,0.086,0.07,0.069,0.084,0.121,0.177,0.238,0.281,0.293,0.272,0.228,0.177,0.129,0.092,0.067,0.057,0.063,0.089,0.135,0.189,0.231,0.244,0.225,0.193,0.17,0.171,0.189,0.206,0.209,0.193,0.167,0.144,0.134,0.139,0.155,0.175,0.19,0.195,0.186,0.172,0.161,0.165,0.177,0.185,0.179,0.161,0.141,0.134,0.144,0.168,0.191,0.202,0.191,0.159,0.115,0.077,0.059,0.067,0.096,0.13,0.158,0.176,0.191,0.205,0.212,0.205,0.188,0.176,0.179,0.193,0.208,0.21,0.194,0.159,0.119,0.088,0.081,0.095,0.118,0.137,0.144,0.144,0.145,0.15,0.154,0.15,0.14,0.136,0.151,0.191,0.244,0.289,0.308,0.294,0.257,0.21,0.168,0.137,0.121,0.116,0.118,0.124,0.132,0.141,0.158,0.191,0.238,0.283,0.313,0.329,0.338,0.341,0.33,0.303,0.272,0.249,0.236,0.226,0.219,0.221,0.235,0.249,0.249,0.231,0.204,0.189,0.198,0.229,0.27,0.303,0.316,0.308,0.285,0.256,0.228,0.206,0.195,0.196,0.21,0.225,0.23,0.218,0.2,0.186,0.182,0.183,0.186,0.186,0.182,0.173,0.157,0.138,0.123,0.123,0.146,0.189,0.231,0.25,0.24,0.214,0.189,0.17,0.161,0.164,0.185,0.214,0.244,0.265,0.279,0.284,0.276,0.25,0.214,0.178,0.153,0.137,0.13,0.132,0.141,0.153,0.163,0.167,0.163,0.153,0.141,0.129,0.117,0.109,0.108,0.115,0.124,0.127,0.123,0.119,0.12,0.127,0.14,0.157,0.175,0.183,0.172,0.146,0.118,0.102,0.104,0.125,0.159,0.195,0.219,0.221,0.205,0.181,0.158,0.133,0.11,0.091,0.083,0.081,0.082,0.088,0.103,0.129,0.153,0.163,0.151,0.127,0.101,0.085,0.086,0.104,0.131,0.157,0.172,0.174,0.173,0.18,0.201,0.227,0.243,0.243,0.236,0.232,0.231,0.229,0.226,0.23,0.244,0.262,0.267,0.256,0.238,0.223,0.217,0.211,0.195,0.171,0.148,0.133,0.126,0.123,0.118,0.108,0.096,0.093,0.106,0.136,0.169,0.191,0.195,0.189,0.182,0.178,0.173,0.165,0.158,0.155,0.154,0.148,0.138,0.134,0.146,0.177,0.22,0.259,0.277,0.267,0.24,0.215,0.212,0.231,0.262,0.292,0.312,0.317,0.299,0.258,0.207,0.161,0.126,0.1,0.076,0.057,0.046,0.05,0.071,0.107,0.149,0.181,0.195,0.188,0.172,0.16,0.163,0.181,0.206,0.224,0.227,0.219,0.21,0.214,0.233,0.259,0.274,0.263,0.226,0.181,0.15,0.151,0.182,0.23,0.277,0.305,0.303,0.278,0.251,0.236,0.235,0.238,0.241,0.248,0.261,0.273,0.275,0.262,0.241,0.225,0.221,0.231,0.247,0.258,0.261,0.254,0.239,0.212,0.173,0.129,0.09,0.064,0.052,0.054,0.072,0.112,0.17,0.226,0.255,0.245,0.204,0.15,0.103,0.072,0.065,0.087,0.135,0.194,0.24,0.257,0.248,0.231,0.217,0.208,0.199,0.19,0.185,0.186,0.19,0.189,0.185,0.188,0.206,0.236,0.259,0.261,0.236,0.195,0.155,0.137,0.153,0.204,0.267,0.317,0.339,0.336,0.322,0.307,0.294,0.286,0.286,0.294,0.302,0.308,0.309,0.312,0.31,0.3,0.278,0.252,0.229,0.215,0.207,0.199,0.189,0.177,0.165,0.154,0.142,0.13,0.117,0.102,0.09,0.086,0.096,0.114,0.133,0.145,0.149,0.151,0.154,0.156,0.152,0.14,0.122,0.109,0.108,0.12,0.139,0.151,0.15,0.142,0.136,0.143,0.161,0.186,0.209,0.226,0.236,0.242,0.244,0.238,0.221,0.196,0.173,0.158,0.151,0.147,0.147,0.152,0.166,0.186,0.203,0.208,0.2,0.185,0.173,0.167,0.166,0.168,0.17,0.173,0.184,0.215,0.269,0.334,0.389,0.418,0.428,0.436,0.455,0.479,0.496,0.496,0.48,0.446,0.396,0.333,0.276,0.249,0.262,0.302,0.346,0.386,0.424,0.456,0.461,0.42,0.346,0.284,0.274,0.311,0.358,0.372,0.344,0.293,0.243,0.205,0.18,0.164,0.151,0.133,0.108,0.08,0.059,0.053,0.065,0.095,0.138,0.183,0.215,0.223,0.208,0.186,0.173,0.178,0.193,0.209,0.215,0.212,0.201,0.19,0.183,0.182,0.185,0.183,0.17,0.145,0.124,0.12,0.139,0.169,0.197,0.211,0.212,0.203,0.196,0.195,0.201,0.208,0.213,0.216,0.218,0.212,0.195,0.169,0.151,0.148,0.154,0.153,0.138,0.11,0.085,0.07,0.067,0.073,0.084,0.095,0.108,0.125,0.153,0.188,0.222,0.243,0.247,0.234,0.212,0.194,0.188,0.196,0.21,0.221,0.222,0.215,0.205,0.199,0.199,0.202,0.204,0.204,0.207,0.22,0.238,0.248,0.24,0.214,0.182,0.154,0.138,0.13,0.132,0.142,0.165,0.194,0.226,0.247,0.255,0.247,0.229,0.21,0.201,0.208,0.224,0.241,0.253,0.262,0.265,0.263,0.256,0.255,0.268,0.293,0.311,0.307,0.277,0.235,0.198,0.181,0.187,0.21,0.24,0.266,0.286,0.304,0.318,0.319,0.298,0.261,0.225,0.206,0.205,0.209,0.202,0.184,0.167,0.158,0.158,0.161,0.165,0.166,0.165,0.159,0.15,0.142,0.139,0.137,0.133,0.127,0.126,0.134,0.151,0.169,0.181,0.183,0.177,0.167,0.159,0.154,0.152,0.148,0.143,0.138,0.138,0.146,0.161,0.179,0.201,0.232,0.271,0.307,0.325,0.319,0.3,0.282,0.268,0.254,0.236,0.217,0.203,0.198,0.2,0.207,0.218,0.23,0.241,0.249,0.25,0.247,0.241,0.243,0.255,0.278,0.299,0.31,0.302,0.284,0.268,0.265,0.272,0.285,0.304,0.327,0.346,0.352,0.348,0.344,0.34,0.329,0.303,0.269,0.243,0.234,0.236,0.238,0.224,0.196,0.162,0.134,0.124,0.133,0.151,0.171,0.188,0.203,0.216,0.225,0.226,0.218,0.211,0.22,0.252,0.302,0.344,0.361,0.349,0.323,0.301,0.29,0.29,0.298,0.31,0.318,0.31,0.277,0.222,0.162,0.119,0.103,0.118,0.159,0.221,0.291,0.354,0.393,0.41,0.413,0.415,0.409,0.38,0.324,0.256,0.201,0.178,0.184,0.204,0.219,0.221,0.207,0.183,0.153,0.123,0.095,0.072,0.054,0.042,0.037,0.045,0.073,0.123,0.187,0.239,0.256,0.235,0.194,0.16,0.152,0.166,0.189,0.205,0.209,0.206,0.201,0.198,0.192,0.186,0.183,0.188,0.193,0.194,0.196,0.212,0.241,0.268,0.273,0.254,0.227,0.211,0.208,0.204,0.189,0.172,0.172,0.204,0.255,0.3,0.312,0.286,0.237,0.191,0.168,0.166,0.174,0.177,0.175,0.168,0.161,0.156,0.157,0.169,0.19,0.207,0.203,0.174,0.132,0.102,0.099,0.12,0.151,0.186,0.228,0.28,0.324,0.33,0.288,0.224,0.181,0.182,0.214,0.248,0.263,0.258,0.246,0.235,0.224,0.206,0.183,0.158,0.138,0.128,0.134,0.161,0.21,0.263,0.298,0.307,0.304,0.309,0.32,0.315,0.284,0.239,0.212,0.217,0.241,0.261,0.267,0.265,0.26,0.25,0.233,0.21,0.184,0.155,0.132,0.124,0.137,0.161,0.182,0.194,0.209,0.237,0.271,0.29,0.28,0.246,0.209,0.188,0.185,0.19,0.196,0.191,0.171,0.134,0.092,0.055,0.033,0.024,0.029,0.046,0.077,0.123,0.173,0.218,0.253,0.279,0.299,0.308,0.3,0.278,0.249,0.219,0.191,0.168,0.156,0.162,0.185,0.22,0.253,0.276,0.282,0.271,0.25,0.228,0.212,0.203,0.201,0.207,0.223,0.248,0.278,0.305,0.319,0.312,0.277,0.215,0.141,0.075,0.032,0.01,0.003]