[0.067,0.065,0.063,0.061,0.061,0.061,0.062,0.062,0.062,0.06,0.055,0.051,0.049,0.05,0.053,0.055,0.053,0.051,0.052,0.057,0.065,0.072,0.075,0.075,0.074,0.073,0.07,0.064,0.057,0.051,0.048,0.048,0.047,0.045,0.042,0.039,0.037,0.038,0.046,0.062,0.079,0.09,0.088,0.08,0.076,0.088,0.121,0.175,0.248,0.318,0.36,0.353,0.314,0.277,0.275,0.303,0.338,0.356,0.355,0.338,0.305,0.256,0.204,0.167,0.158,0.17,0.191,0.205,0.207,0.198,0.187,0.182,0.184,0.19,0.196,0.204,0.207,0.198,0.171,0.132,0.099,0.085,0.087,0.09,0.083,0.071,0.068,0.09,0.133,0.185,0.23,0.257,0.258,0.232,0.189,0.153,0.145,0.168,0.204,0.229,0.234,0.226,0.221,0.218,0.205,0.172,0.129,0.093,0.085,0.107,0.147,0.184,0.197,0.179,0.14,0.107,0.1,0.128,0.176,0.225,0.266,0.303,0.334,0.345,0.321,0.261,0.185,0.116,0.071,0.048,0.04,0.04,0.043,0.047,0.049,0.047,0.043,0.043,0.055,0.081,0.116,0.148,0.17,0.173,0.166,0.153,0.148,0.153,0.167,0.172,0.158,0.121,0.078,0.041,0.019,0.008,0.004,0.002,0.002,0.002,0.002,0.002,0.002,0.004,0.007,0.014,0.024,0.034,0.041,0.043,0.041,0.035,0.032,0.037,0.061,0.109,0.174,0.235,0.265,0.249,0.193,0.125,0.071,0.046,0.04,0.04,0.035,0.025,0.019,0.02,0.03,0.044,0.056,0.06,0.054,0.042,0.031,0.029,0.045,0.085,0.148,0.224,0.293,0.336,0.346,0.326,0.285,0.24,0.208,0.204,0.225,0.255,0.27,0.261,0.236,0.215,0.207,0.21,0.213,0.206,0.193,0.186,0.193,0.209,0.215,0.199,0.165,0.13,0.11,0.106,0.103,0.09,0.064,0.036,0.016,0.008,0.008,0.015,0.025,0.037,0.05,0.068,0.09,0.115,0.141,0.163,0.175,0.171,0.149,0.119,0.094,0.088,0.102,0.129,0.15,0.15,0.126,0.087,0.049,0.025,0.016,0.017,0.022,0.025,0.024,0.021,0.017,0.014,0.012,0.01,0.008,0.007,0.007,0.008,0.011,0.016,0.026,0.043,0.067,0.095,0.123,0.142,0.146,0.14,0.133,0.137,0.151,0.168,0.181,0.191,0.2,0.202,0.187,0.153,0.108,0.072,0.06,0.073,0.1,0.123,0.13,0.119,0.096,0.071,0.053,0.05,0.072,0.123,0.191,0.26,0.317,0.364,0.406,0.444,0.462,0.44,0.37,0.268,0.162,0.089,0.067,0.097,0.165,0.242,0.304,0.328,0.314,0.277,0.248,0.245,0.261,0.275,0.276,0.268,0.265,0.271,0.277,0.273,0.255,0.232,0.213,0.207,0.21,0.209,0.19,0.154,0.112,0.081,0.069,0.071,0.082,0.092,0.103,0.113,0.124,0.137,0.148,0.152,0.145,0.132,0.124,0.125,0.131,0.127,0.109,0.088,0.084,0.104,0.14,0.172,0.187,0.185,0.176,0.17,0.178,0.201,0.224,0.228,0.204,0.163,0.126,0.11,0.113,0.12,0.12,0.115,0.116,0.129,0.145,0.149,0.136,0.112,0.098,0.102,0.119,0.134,0.137,0.132,0.136,0.156,0.185,0.206,0.207,0.191,0.167,0.147,0.141,0.156,0.19,0.226,0.246,0.242,0.221,0.193,0.161,0.124,0.087,0.053,0.032,0.024,0.027,0.036,0.045,0.057,0.076,0.108,0.149,0.184,0.201,0.199,0.186,0.172,0.16,0.144,0.118,0.089,0.068,0.067,0.089,0.13,0.177,0.22,0.248,0.264,0.271,0.277,0.276,0.261,0.224,0.169,0.111,0.068,0.051,0.06,0.09,0.134,0.182,0.219,0.234,0.227,0.215,0.213,0.223,0.231,0.219,0.187,0.148,0.125,0.132,0.167,0.208,0.234,0.234,0.212,0.178,0.136,0.092,0.054,0.031,0.027,0.044,0.078,0.117,0.151,0.174,0.186,0.189,0.188,0.189,0.197,0.209,0.216,0.211,0.199,0.192,0.199,0.222,0.249,0.268,0.27,0.25,0.213,0.169,0.135,0.127,0.143,0.171,0.189,0.185,0.157,0.115,0.076,0.05,0.043,0.052,0.076,0.109,0.148,0.191,0.233,0.263,0.265,0.234,0.178,0.114,0.061,0.028,0.015,0.021,0.049,0.096,0.149,0.189,0.204,0.195,0.176,0.154,0.134,0.12,0.115,0.113,0.108,0.093,0.076,0.071,0.091,0.138,0.206,0.273,0.312,0.301,0.244,0.172,0.124,0.131,0.194,0.28,0.344,0.354,0.314,0.257,0.216,0.208,0.228,0.265,0.3,0.326,0.343,0.362,0.386,0.408,0.413,0.398,0.369,0.336,0.303,0.273,0.256,0.259,0.281,0.3,0.297,0.262,0.213,0.166,0.13,0.101,0.079,0.069,0.086,0.132,0.196,0.254,0.283,0.275,0.241,0.2,0.171,0.167,0.182,0.201,0.209,0.199,0.179,0.165,0.171,0.2,0.234,0.248,0.231,0.191,0.153,0.136,0.14,0.154,0.167,0.182,0.196,0.195,0.17,0.126,0.089,0.087,0.125,0.181,0.219,0.217,0.179,0.132,0.099,0.087,0.089,0.093,0.093,0.096,0.108,0.128,0.145,0.148,0.137,0.123,0.122,0.142,0.177,0.21,0.229,0.232,0.226,0.219,0.205,0.185,0.159,0.139,0.126,0.117,0.107,0.101,0.107,0.129,0.157,0.184,0.205,0.221,0.23,0.23,0.22,0.202,0.175,0.14,0.102,0.075,0.074,0.104,0.155,0.206,0.231,0.22,0.179,0.131,0.099,0.091,0.099,0.105,0.102,0.091,0.086,0.092,0.107,0.117,0.118,0.12,0.138,0.172,0.205,0.212,0.183,0.132,0.087,0.068,0.077,0.104,0.135,0.162,0.183,0.196,0.201,0.203,0.207,0.215,0.216,0.194,0.149,0.098,0.066,0.067,0.096,0.133,0.161,0.168,0.158,0.135,0.11,0.096,0.099,0.118,0.136,0.141,0.126,0.101,0.077,0.057,0.043,0.031,0.024,0.021,0.025,0.034,0.047,0.062,0.074,0.077,0.072,0.063,0.057,0.06,0.07,0.084,0.094,0.091,0.077,0.062,0.065,0.099,0.167,0.249,0.313,0.33,0.293,0.219,0.14,0.082,0.054,0.052,0.069,0.107,0.16,0.215,0.25,0.25,0.222,0.188,0.167,0.162,0.163,0.156,0.137,0.108,0.08,0.069,0.078,0.105,0.135,0.154,0.152,0.13,0.095,0.065,0.049,0.053,0.073,0.106,0.149,0.189,0.212,0.209,0.187,0.164,0.152,0.151,0.162,0.193,0.246,0.303,0.339,0.333,0.294,0.243,0.199,0.166,0.136,0.107,0.085,0.079,0.09,0.112,0.137,0.156,0.166,0.171,0.18,0.197,0.212,0.217,0.207,0.191,0.176,0.158,0.131,0.096,0.066,0.051,0.055,0.068,0.081,0.085,0.08,0.073,0.069,0.075,0.091,0.118,0.151,0.185,0.214,0.236,0.246,0.24,0.219,0.192,0.163,0.131,0.097,0.064,0.041,0.031,0.034,0.052,0.092,0.158,0.244,0.329,0.388,0.408,0.396,0.373,0.35,0.329,0.311,0.301,0.298,0.289,0.256,0.202,0.148,0.119,0.117,0.129,0.143,0.153,0.168,0.191,0.221,0.242,0.243,0.225,0.204,0.2,0.209,0.219,0.22,0.22,0.227,0.239,0.241,0.219,0.176,0.122,0.072,0.037,0.021,0.022,0.038,0.064,0.096,0.123,0.138,0.139,0.126,0.103,0.077,0.057,0.049,0.051,0.056,0.062,0.071,0.093,0.133,0.181,0.223,0.247,0.249,0.231,0.199,0.156,0.111,0.075,0.059,0.068,0.096,0.131,0.158,0.166,0.154,0.128,0.1,0.076,0.056,0.046,0.054,0.089,0.156,0.239,0.311,0.346,0.337,0.302,0.261,0.227,0.197,0.167,0.139,0.122,0.128,0.158,0.199,0.229,0.236,0.225,0.211,0.204,0.2,0.197,0.199,0.211,0.227,0.231,0.21,0.173,0.138,0.12,0.118,0.121,0.118,0.115,0.129,0.171,0.235,0.292,0.312,0.289,0.246,0.214,0.197,0.183,0.159,0.126,0.1,0.091,0.099,0.116,0.132,0.141,0.146,0.156,0.171,0.182,0.183,0.178,0.183,0.207,0.244,0.273,0.28,0.263,0.231,0.191,0.149,0.111,0.083,0.066,0.057,0.053,0.052,0.061,0.084,0.119,0.161,0.2,0.226,0.227,0.205,0.176,0.164,0.178,0.209,0.236,0.244,0.231,0.206,0.182,0.169,0.165,0.164,0.152,0.13,0.109,0.108,0.136,0.178,0.213,0.228,0.229,0.225,0.222,0.212,0.193,0.173,0.168,0.188,0.221,0.246,0.244,0.225,0.212,0.218,0.232,0.227,0.19,0.142,0.115,0.13,0.182,0.248,0.304,0.342,0.368,0.391,0.403,0.39,0.348,0.287,0.228,0.179,0.137,0.098,0.065,0.044,0.041,0.051,0.066,0.078,0.084,0.09,0.098,0.107,0.109,0.104,0.102,0.117,0.151,0.194,0.225,0.23,0.204,0.159,0.116,0.098,0.121,0.177,0.235,0.26,0.236,0.176,0.116,0.084,0.085,0.105,0.124,0.129,0.117,0.1,0.09,0.099,0.128,0.169,0.206,0.229,0.233,0.225,0.209,0.185,0.152,0.114,0.078,0.053,0.047,0.062,0.09,0.119,0.133,0.131,0.125,0.127,0.141,0.162,0.182,0.199,0.217,0.236,0.258,0.282,0.313,0.357,0.403,0.431,0.417,0.356,0.265,0.175,0.115,0.101,0.127,0.169,0.196,0.188,0.149,0.099,0.058,0.037,0.033,0.04,0.051,0.059,0.06,0.054,0.047,0.045,0.051,0.064,0.082,0.101,0.115,0.116,0.106,0.09,0.078,0.075,0.08,0.091,0.104,0.115,0.121,0.115,0.101,0.088,0.084,0.087,0.092,0.096,0.104,0.116,0.127,0.132,0.136,0.152,0.189,0.235,0.27,0.271,0.235,0.176,0.115,0.067,0.039,0.027,0.022,0.021,0.021,0.029,0.056,0.11,0.191,0.275,0.326,0.319,0.264,0.192,0.141,0.129,0.149,0.183,0.211,0.223,0.216,0.195,0.168,0.142,0.127,0.129,0.144,0.158,0.158,0.144,0.129,0.126,0.132,0.134,0.126,0.118,0.123,0.149,0.185,0.213,0.215,0.191,0.154,0.125,0.117,0.127,0.14,0.144,0.135,0.12,0.101,0.082,0.066,0.063,0.086,0.137,0.203,0.262,0.298,0.308,0.305,0.301,0.301,0.298,0.285,0.259,0.222,0.186,0.16,0.147,0.145,0.148,0.156,0.166,0.167,0.151,0.125,0.108,0.122,0.166,0.217,0.244,0.233,0.197,0.16,0.147,0.166,0.21,0.259,0.29,0.288,0.263,0.236,0.224,0.221,0.209,0.183,0.153,0.141,0.157,0.196,0.243,0.284,0.314,0.339,0.364,0.38,0.369,0.316,0.234,0.15,0.095,0.074,0.075,0.077,0.072,0.064,0.067,0.086,0.112,0.129,0.129,0.118,0.112,0.123,0.15,0.183,0.21,0.219,0.206,0.178,0.148,0.135,0.15,0.193,0.244,0.278,0.272,0.232,0.182,0.154,0.153,0.162,0.162,0.153,0.15,0.162,0.183,0.197,0.199,0.202,0.216,0.242,0.262,0.254,0.215,0.161,0.117,0.096,0.09,0.086,0.078,0.07,0.071,0.082,0.098,0.121,0.157,0.206,0.256,0.286,0.288,0.274,0.264,0.259,0.248,0.226,0.206,0.206,0.224,0.244,0.247,0.234,0.218,0.211,0.21,0.206,0.189,0.162,0.135,0.12,0.124,0.153,0.201,0.252,0.287,0.289,0.259,0.213,0.175,0.155,0.151,0.145,0.13,0.106,0.084,0.073,0.074,0.081,0.087,0.093,0.108,0.13,0.155,0.172,0.181,0.188,0.201,0.212,0.215,0.209,0.202,0.204,0.217,0.236,0.248,0.248,0.246,0.261,0.296,0.335,0.35,0.323,0.26,0.185,0.127,0.103,0.113,0.151,0.202,0.252,0.286,0.297,0.276,0.231,0.178,0.142,0.139,0.168,0.205,0.229,0.227,0.208,0.183,0.168,0.164,0.169,0.176,0.18,0.17,0.145,0.107,0.072,0.052,0.052,0.069,0.094,0.115,0.123,0.113,0.095,0.081,0.08,0.091,0.102,0.101,0.088,0.068,0.05,0.038,0.032,0.028,0.027,0.033,0.047,0.067,0.086,0.093,0.087,0.073,0.06,0.053,0.052,0.054,0.057,0.063,0.072,0.084,0.093,0.097,0.093,0.083,0.069,0.058,0.057,0.071,0.099,0.129,0.148,0.149,0.142,0.142,0.158,0.186,0.211,0.22,0.208,0.179,0.143,0.107,0.08,0.067,0.07,0.082,0.098,0.109,0.114,0.117,0.124,0.136,0.146,0.143,0.123,0.094,0.071,0.066,0.082,0.113,0.157,0.205,0.241,0.253,0.237,0.209,0.186,0.174,0.169,0.166,0.17,0.188,0.212,0.22,0.198,0.153,0.105,0.085,0.109,0.18,0.274,0.359,0.405,0.405,0.368,0.31,0.25,0.213,0.217,0.257,0.304,0.327,0.314,0.279,0.248,0.232,0.223,0.202,0.162,0.114,0.076,0.066,0.088,0.132,0.179,0.212,0.221,0.208,0.179,0.147,0.134,0.152,0.201,0.256,0.289,0.287,0.26,0.23,0.21,0.204,0.205,0.202,0.189,0.165,0.135,0.104,0.081,0.077,0.093,0.126,0.163,0.191,0.199,0.188,0.164,0.145,0.144,0.167,0.204,0.235,0.246,0.232,0.201,0.177,0.177,0.206,0.246,0.274,0.277,0.256,0.222,0.182,0.148,0.126,0.122,0.125,0.123,0.11,0.096,0.099,0.126,0.165,0.196,0.207,0.198,0.179,0.158,0.145,0.149,0.179,0.226,0.27,0.286,0.265,0.224,0.195,0.198,0.23,0.262,0.268,0.243,0.205,0.174,0.157,0.149,0.139,0.122,0.102,0.093,0.1,0.118,0.137,0.147,0.147,0.145,0.15,0.17,0.197,0.217,0.22,0.212,0.208,0.215,0.227,0.231,0.221,0.202,0.184,0.173,0.178,0.207,0.253,0.297,0.321,0.32,0.302,0.273,0.231,0.176,0.119,0.075,0.054,0.056,0.08,0.127,0.195,0.271,0.329,0.35,0.333,0.302,0.28,0.274,0.27,0.247,0.197,0.136,0.086,0.056,0.045,0.043,0.044,0.046,0.047,0.047,0.046,0.046,0.051,0.061,0.074,0.091,0.114,0.141,0.165,0.172,0.156,0.123,0.09,0.065,0.054,0.055,0.067,0.084,0.1,0.109,0.109,0.105,0.102,0.101,0.1,0.098,0.093,0.083,0.072,0.06,0.049,0.04,0.036,0.034,0.036,0.04,0.045,0.048,0.05,0.051,0.055,0.066,0.089,0.12,0.152,0.174,0.186,0.193,0.205,0.222,0.237,0.237,0.22,0.187,0.154,0.129,0.115,0.11,0.108,0.108,0.111,0.119,0.13,0.14,0.144,0.138,0.126,0.117,0.119,0.132,0.154,0.178,0.199,0.214,0.23,0.252,0.276,0.292,0.291,0.272,0.243,0.211,0.184,0.163,0.144,0.127,0.117,0.122,0.145,0.174,0.193,0.194,0.177,0.152,0.126,0.102,0.087,0.083,0.093,0.116,0.147,0.173,0.181,0.167,0.139,0.112,0.094,0.086,0.084,0.091,0.11,0.143,0.182,0.212,0.229,0.235,0.246,0.262,0.288,0.314,0.338,0.345,0.339,0.324,0.323,0.337,0.355,0.354,0.326,0.278,0.228,0.187,0.161,0.147,0.142,0.142,0.144,0.142,0.137,0.128,0.117,0.107,0.104,0.115,0.153,0.215,0.286,0.342,0.368,0.368,0.361,0.358,0.35,0.328,0.288,0.245,0.216,0.207,0.207,0.203,0.182,0.149,0.114,0.09,0.081,0.082,0.086,0.089,0.093,0.098,0.105,0.113,0.121,0.124,0.118,0.105,0.09,0.078,0.075,0.08,0.09,0.099,0.102,0.096,0.084,0.075,0.081,0.109,0.163,0.233,0.3,0.348,0.369,0.373,0.365,0.344,0.312,0.286,0.286,0.316,0.362,0.402,0.427,0.441,0.452,0.463,0.472,0.477,0.472,0.451,0.407,0.34,0.259,0.183,0.126,0.095,0.086,0.089,0.093,0.093,0.087,0.082,0.082,0.092,0.105,0.114,0.111,0.097,0.08,0.068,0.067,0.076,0.093,0.115,0.138,0.16,0.177,0.187,0.194,0.204,0.227,0.264,0.303,0.324,0.316,0.287,0.256,0.234,0.226,0.238,0.27,0.314,0.342,0.335,0.293,0.242,0.202,0.187,0.192,0.213,0.237,0.248,0.235,0.198,0.155,0.119,0.098,0.094,0.105,0.132,0.164,0.185,0.182,0.158,0.126,0.106,0.104,0.113,0.123,0.129,0.134,0.143,0.152,0.161,0.17,0.19,0.215,0.236,0.238,0.225,0.208,0.196,0.186,0.171,0.151,0.135,0.123,0.115,0.106,0.098,0.094,0.095,0.096,0.095,0.092,0.093,0.105,0.129,0.166,0.21,0.252,0.283,0.298,0.304,0.307,0.313,0.318,0.317,0.309,0.298,0.299,0.325,0.379,0.443,0.486,0.488,0.449,0.394,0.347,0.321,0.313,0.318,0.333,0.353,0.372,0.386,0.392,0.395,0.396,0.395,0.393,0.39,0.393,0.405,0.429,0.46,0.489,0.504,0.499,0.472,0.43,0.385,0.348,0.329,0.329,0.339,0.35,0.361,0.375,0.393,0.407,0.404,0.381,0.345,0.312,0.288,0.277,0.272,0.271,0.27,0.27,0.271,0.277,0.286,0.298,0.309,0.317,0.321,0.326,0.334,0.34,0.336,0.32,0.303,0.295,0.304,0.322,0.339,0.348,0.35,0.351,0.359,0.375,0.393,0.405,0.401,0.383,0.364,0.36,0.378,0.414,0.451,0.474,0.471,0.446,0.408,0.375,0.363,0.376,0.401,0.417,0.412,0.386,0.354,0.328,0.317,0.319,0.329,0.343,0.355,0.362,0.362,0.357,0.349,0.343,0.335,0.327,0.318,0.314,0.319,0.334,0.355,0.373,0.38,0.375,0.362,0.347,0.331,0.32,0.316,0.321,0.333,0.343,0.346,0.345,0.345,0.351,0.357,0.361,0.362,0.366,0.377,0.397,0.421,0.438,0.432,0.404,0.367,0.344,0.341,0.354,0.369,0.379,0.38,0.376,0.37,0.364,0.359,0.355,0.358,0.371,0.393,0.412,0.413,0.392,0.355,0.321,0.301,0.303,0.316,0.327,0.324,0.309,0.293,0.291,0.306,0.332,0.357,0.377,0.389,0.393,0.392,0.389,0.386,0.38,0.369,0.363,0.371,0.391,0.412,0.42,0.412,0.392,0.371,0.357,0.356,0.365,0.376,0.384,0.387,0.39,0.395,0.398,0.398,0.394,0.393,0.397,0.407,0.418,0.428,0.439,0.454,0.471,0.484,0.488,0.485,0.481,0.478,0.473,0.459,0.434,0.403,0.373,0.349,0.33,0.318,0.311,0.311,0.32,0.338,0.364,0.391,0.411,0.421,0.421,0.419,0.42,0.423,0.426,0.424,0.42,0.414,0.404,0.388,0.364,0.336,0.312,0.298,0.294,0.297,0.3,0.3,0.299,0.303,0.317,0.343,0.374,0.399,0.405,0.389,0.362,0.342,0.336,0.343,0.351,0.355,0.354,0.355,0.363,0.377,0.392,0.4,0.398,0.389,0.381,0.383,0.396,0.419,0.441,0.454,0.453,0.437,0.412,0.384,0.356,0.331,0.306,0.281,0.257,0.249,0.264,0.301,0.337,0.354,0.347,0.332,0.318,0.305,0.289,0.275,0.275,0.29,0.309,0.314,0.299,0.268,0.233,0.204,0.19,0.184,0.177,0.161,0.142,0.128,0.126,0.13,0.133,0.127,0.115,0.102,0.093,0.089,0.09,0.093,0.097,0.098,0.096,0.093,0.09,0.089,0.088,0.088,0.088,0.087,0.085,0.083,0.079,0.077,0.08,0.091,0.111,0.134,0.156,0.176,0.198,0.22,0.243,0.269,0.302,0.343,0.375,0.38,0.346,0.285,0.219,0.165,0.133,0.122,0.129,0.15,0.176,0.194,0.199,0.194,0.186,0.184,0.186,0.186,0.177,0.158,0.134,0.114,0.108,0.117,0.134,0.149,0.151,0.137,0.112,0.087,0.069,0.063,0.068,0.081,0.097,0.109,0.109,0.097,0.076,0.058,0.047,0.046,0.053,0.068,0.092,0.125,0.163,0.194,0.215,0.23,0.247,0.265,0.275,0.272,0.261,0.247,0.237,0.226,0.212,0.195,0.182,0.17,0.158,0.141,0.12,0.098,0.08,0.069,0.067,0.069,0.073,0.078,0.086,0.101,0.119,0.133,0.136,0.123,0.099,0.072,0.054,0.046,0.045,0.045,0.042,0.041,0.042,0.045,0.048,0.048,0.049,0.057,0.073,0.093,0.114,0.129,0.135,0.126,0.103,0.073,0.047,0.031,0.023,0.018,0.015,0.01,0.007,0.004,0.002,0.001,0.001,0,0]