[0.044,0.042,0.04,0.039,0.04,0.042,0.041,0.038,0.033,0.03,0.03,0.034,0.04,0.044,0.047,0.047,0.045,0.042,0.043,0.057,0.091,0.136,0.174,0.187,0.174,0.149,0.127,0.115,0.107,0.099,0.092,0.092,0.107,0.135,0.162,0.177,0.173,0.156,0.138,0.131,0.138,0.154,0.165,0.165,0.151,0.133,0.117,0.105,0.094,0.085,0.079,0.081,0.09,0.097,0.094,0.081,0.067,0.065,0.085,0.116,0.142,0.147,0.132,0.112,0.101,0.104,0.116,0.131,0.139,0.138,0.126,0.111,0.103,0.109,0.124,0.136,0.14,0.133,0.119,0.106,0.096,0.089,0.082,0.075,0.074,0.084,0.104,0.122,0.127,0.118,0.1,0.079,0.062,0.052,0.054,0.067,0.085,0.101,0.114,0.127,0.137,0.141,0.138,0.135,0.133,0.13,0.122,0.108,0.096,0.095,0.108,0.129,0.147,0.153,0.145,0.125,0.1,0.077,0.067,0.073,0.091,0.111,0.125,0.132,0.137,0.141,0.138,0.122,0.096,0.074,0.067,0.079,0.102,0.127,0.146,0.157,0.16,0.155,0.144,0.132,0.122,0.114,0.108,0.111,0.13,0.159,0.184,0.192,0.187,0.183,0.193,0.209,0.217,0.208,0.186,0.161,0.137,0.117,0.102,0.096,0.103,0.123,0.15,0.177,0.192,0.185,0.159,0.131,0.121,0.143,0.187,0.233,0.252,0.237,0.194,0.144,0.107,0.095,0.104,0.125,0.141,0.142,0.125,0.096,0.066,0.045,0.044,0.063,0.097,0.129,0.148,0.152,0.151,0.151,0.151,0.148,0.141,0.136,0.136,0.138,0.136,0.13,0.124,0.126,0.134,0.142,0.14,0.131,0.121,0.12,0.127,0.136,0.138,0.132,0.119,0.105,0.097,0.097,0.103,0.11,0.115,0.119,0.127,0.141,0.166,0.194,0.217,0.219,0.197,0.16,0.124,0.104,0.101,0.108,0.121,0.134,0.143,0.142,0.127,0.099,0.071,0.056,0.063,0.089,0.118,0.134,0.131,0.118,0.109,0.11,0.118,0.123,0.119,0.113,0.11,0.11,0.11,0.107,0.101,0.098,0.1,0.112,0.133,0.163,0.197,0.225,0.242,0.24,0.222,0.193,0.162,0.135,0.118,0.112,0.115,0.12,0.117,0.106,0.094,0.09,0.098,0.108,0.111,0.1,0.08,0.061,0.048,0.043,0.042,0.041,0.038,0.034,0.03,0.03,0.034,0.039,0.044,0.047,0.048,0.047,0.042,0.036,0.028,0.022,0.018,0.016,0.019,0.027,0.046,0.076,0.112,0.143,0.157,0.151,0.132,0.11,0.093,0.083,0.082,0.089,0.102,0.116,0.126,0.125,0.116,0.102,0.089,0.083,0.081,0.08,0.078,0.081,0.091,0.103,0.109,0.107,0.1,0.096,0.102,0.117,0.13,0.13,0.114,0.091,0.075,0.074,0.08,0.084,0.078,0.067,0.057,0.054,0.061,0.079,0.108,0.143,0.17,0.182,0.179,0.168,0.152,0.136,0.123,0.115,0.112,0.111,0.107,0.099,0.088,0.073,0.058,0.057,0.087,0.152,0.233,0.292,0.3,0.258,0.196,0.143,0.11,0.094,0.089,0.09,0.094,0.094,0.09,0.087,0.093,0.108,0.13,0.157,0.195,0.243,0.293,0.323,0.318,0.274,0.21,0.145,0.099,0.076,0.08,0.108,0.15,0.184,0.193,0.173,0.139,0.113,0.112,0.133,0.159,0.175,0.177,0.168,0.152,0.131,0.109,0.094,0.092,0.101,0.112,0.115,0.111,0.107,0.111,0.123,0.135,0.142,0.142,0.142,0.144,0.149,0.154,0.156,0.154,0.152,0.151,0.151,0.15,0.146,0.138,0.128,0.116,0.104,0.095,0.093,0.101,0.114,0.128,0.137,0.137,0.13,0.122,0.118,0.121,0.127,0.131,0.13,0.122,0.109,0.097,0.09,0.095,0.115,0.142,0.166,0.177,0.169,0.146,0.116,0.088,0.072,0.073,0.096,0.132,0.166,0.182,0.172,0.144,0.113,0.094,0.091,0.104,0.122,0.137,0.14,0.133,0.122,0.12,0.131,0.152,0.175,0.196,0.214,0.235,0.252,0.26,0.251,0.225,0.185,0.139,0.098,0.07,0.059,0.063,0.075,0.089,0.105,0.12,0.137,0.152,0.163,0.168,0.171,0.178,0.19,0.199,0.196,0.178,0.149,0.116,0.089,0.076,0.082,0.109,0.151,0.196,0.224,0.224,0.195,0.15,0.111,0.093,0.103,0.131,0.168,0.196,0.213,0.215,0.212,0.203,0.19,0.173,0.157,0.143,0.129,0.11,0.088,0.068,0.056,0.052,0.052,0.051,0.049,0.051,0.059,0.081,0.116,0.158,0.193,0.208,0.201,0.183,0.16,0.135,0.104,0.076,0.061,0.063,0.08,0.101,0.119,0.129,0.132,0.131,0.133,0.139,0.149,0.157,0.158,0.152,0.141,0.128,0.113,0.1,0.09,0.086,0.085,0.085,0.086,0.091,0.106,0.132,0.165,0.189,0.193,0.174,0.143,0.115,0.101,0.102,0.113,0.125,0.134,0.141,0.149,0.161,0.17,0.169,0.153,0.132,0.119,0.117,0.12,0.116,0.102,0.081,0.063,0.051,0.046,0.044,0.04,0.033,0.026,0.022,0.025,0.038,0.061,0.088,0.11,0.121,0.127,0.138,0.16,0.182,0.189,0.179,0.162,0.157,0.167,0.187,0.201,0.2,0.181,0.152,0.126,0.112,0.111,0.115,0.114,0.106,0.095,0.087,0.085,0.083,0.077,0.068,0.062,0.064,0.075,0.087,0.094,0.095,0.096,0.103,0.121,0.151,0.186,0.223,0.257,0.287,0.301,0.291,0.255,0.21,0.177,0.165,0.163,0.157,0.143,0.136,0.15,0.189,0.239,0.281,0.3,0.3,0.285,0.265,0.239,0.207,0.174,0.151,0.146,0.158,0.179,0.204,0.231,0.257,0.275,0.275,0.254,0.22,0.18,0.146,0.123,0.115,0.119,0.126,0.129,0.123,0.111,0.099,0.096,0.108,0.129,0.148,0.154,0.147,0.136,0.133,0.138,0.147,0.155,0.161,0.166,0.17,0.169,0.161,0.152,0.148,0.156,0.171,0.184,0.186,0.176,0.16,0.147,0.141,0.141,0.142,0.138,0.125,0.108,0.097,0.102,0.124,0.152,0.171,0.169,0.152,0.133,0.127,0.134,0.148,0.158,0.157,0.143,0.118,0.088,0.059,0.039,0.029,0.029,0.036,0.044,0.053,0.068,0.097,0.141,0.188,0.218,0.221,0.197,0.163,0.136,0.127,0.132,0.138,0.138,0.135,0.134,0.136,0.134,0.12,0.096,0.073,0.06,0.059,0.067,0.077,0.083,0.083,0.078,0.073,0.077,0.096,0.129,0.165,0.19,0.199,0.197,0.188,0.173,0.151,0.125,0.106,0.1,0.104,0.107,0.101,0.087,0.069,0.054,0.048,0.048,0.053,0.06,0.072,0.096,0.13,0.165,0.19,0.194,0.181,0.156,0.127,0.105,0.098,0.104,0.113,0.115,0.105,0.09,0.084,0.096,0.126,0.163,0.192,0.201,0.188,0.164,0.143,0.132,0.132,0.134,0.134,0.131,0.122,0.11,0.099,0.094,0.095,0.097,0.095,0.087,0.077,0.069,0.063,0.06,0.061,0.063,0.067,0.071,0.078,0.086,0.096,0.108,0.121,0.13,0.134,0.131,0.122,0.109,0.099,0.094,0.097,0.106,0.114,0.116,0.111,0.098,0.081,0.067,0.064,0.078,0.105,0.135,0.156,0.161,0.159,0.155,0.151,0.141,0.122,0.098,0.08,0.072,0.072,0.072,0.067,0.058,0.052,0.053,0.063,0.079,0.099,0.122,0.146,0.166,0.172,0.158,0.13,0.101,0.083,0.079,0.084,0.089,0.091,0.094,0.104,0.123,0.145,0.161,0.166,0.16,0.151,0.142,0.136,0.129,0.122,0.113,0.102,0.092,0.088,0.095,0.111,0.127,0.136,0.136,0.129,0.12,0.11,0.097,0.083,0.074,0.075,0.087,0.104,0.115,0.117,0.117,0.125,0.14,0.154,0.154,0.139,0.116,0.097,0.087,0.088,0.096,0.105,0.112,0.12,0.131,0.147,0.163,0.174,0.178,0.176,0.166,0.147,0.122,0.096,0.081,0.081,0.097,0.126,0.16,0.187,0.197,0.185,0.159,0.128,0.106,0.098,0.103,0.114,0.125,0.132,0.136,0.142,0.154,0.171,0.184,0.186,0.173,0.153,0.137,0.133,0.139,0.147,0.149,0.145,0.141,0.141,0.146,0.152,0.153,0.15,0.148,0.152,0.167,0.186,0.203,0.211,0.209,0.199,0.184,0.168,0.155,0.148,0.151,0.165,0.188,0.213,0.23,0.233,0.227,0.216,0.204,0.187,0.165,0.149,0.154,0.185,0.232,0.272,0.292,0.287,0.271,0.254,0.242,0.236,0.238,0.248,0.259,0.263,0.253,0.23,0.2,0.173,0.157,0.154,0.16,0.167,0.169,0.167,0.165,0.165,0.17,0.18,0.194,0.207,0.214,0.213,0.201,0.181,0.159,0.146,0.148,0.159,0.164,0.153,0.127,0.098,0.078,0.071,0.076,0.092,0.12,0.158,0.196,0.222,0.228,0.22,0.212,0.21,0.213,0.214,0.213,0.212,0.211,0.21,0.207,0.203,0.199,0.198,0.206,0.228,0.259,0.281,0.278,0.25,0.216,0.194,0.191,0.195,0.194,0.181,0.16,0.137,0.121,0.117,0.124,0.138,0.157,0.182,0.216,0.254,0.285,0.292,0.271,0.228,0.183,0.152,0.142,0.147,0.162,0.176,0.184,0.187,0.19,0.194,0.193,0.185,0.171,0.163,0.165,0.177,0.19,0.195,0.19,0.184,0.188,0.205,0.225,0.238,0.239,0.231,0.215,0.194,0.17,0.148,0.132,0.119,0.105,0.089,0.071,0.057,0.049,0.048,0.059,0.09,0.146,0.222,0.293,0.336,0.336,0.306,0.269,0.245,0.235,0.228,0.215,0.195,0.171,0.146,0.125,0.11,0.107,0.118,0.144,0.183,0.225,0.26,0.274,0.269,0.249,0.229,0.217,0.218,0.222,0.222,0.212,0.196,0.18,0.164,0.146,0.121,0.093,0.066,0.051,0.052,0.068,0.093,0.115,0.128,0.129,0.119,0.105,0.092,0.087,0.093,0.107,0.123,0.14,0.158,0.173,0.181,0.176,0.159,0.143,0.138,0.148,0.169,0.192,0.211,0.22,0.218,0.208,0.199,0.196,0.196,0.198,0.202,0.214,0.233,0.254,0.261,0.248,0.217,0.187,0.172,0.177,0.192,0.206,0.212,0.21,0.204,0.2,0.2,0.207,0.215,0.218,0.211,0.199,0.183,0.166,0.145,0.126,0.114,0.115,0.125,0.138,0.149,0.157,0.162,0.17,0.181,0.191,0.197,0.196,0.192,0.191,0.192,0.192,0.187,0.176,0.161,0.143,0.127,0.119,0.123,0.137,0.153,0.165,0.169,0.166,0.16,0.154,0.149,0.147,0.147,0.148,0.144,0.129,0.105,0.079,0.059,0.052,0.055,0.064,0.079,0.1,0.122,0.134,0.129,0.111,0.09,0.075,0.068,0.068,0.075,0.086,0.097,0.101,0.095,0.081,0.063,0.049,0.041,0.041,0.049,0.065,0.088,0.113,0.129,0.13,0.115,0.097,0.088,0.095,0.116,0.145,0.175,0.201,0.214,0.209,0.185,0.149,0.115,0.096,0.093,0.1,0.101,0.09,0.069,0.052,0.048,0.057,0.074,0.09,0.101,0.112,0.13,0.154,0.176,0.185,0.175,0.15,0.124,0.109,0.107,0.114,0.123,0.127,0.126,0.118,0.103,0.083,0.062,0.046,0.039,0.042,0.054,0.073,0.097,0.122,0.145,0.162,0.169,0.162,0.141,0.111,0.083,0.067,0.068,0.078,0.088,0.09,0.087,0.085,0.093,0.115,0.144,0.165,0.166,0.149,0.125,0.109,0.109,0.122,0.138,0.151,0.156,0.151,0.135,0.113,0.088,0.068,0.06,0.067,0.089,0.124,0.162,0.195,0.211,0.208,0.193,0.183,0.192,0.219,0.251,0.268,0.258,0.221,0.173,0.128,0.103,0.106,0.138,0.188,0.23,0.243,0.221,0.178,0.134,0.103,0.088,0.086,0.092,0.099,0.102,0.103,0.107,0.116,0.13,0.145,0.161,0.175,0.188,0.195,0.195,0.189,0.184,0.181,0.18,0.177,0.173,0.172,0.175,0.183,0.189,0.191,0.191,0.191,0.196,0.205,0.22,0.236,0.248,0.251,0.243,0.23,0.216,0.204,0.192,0.177,0.161,0.152,0.159,0.182,0.215,0.241,0.246,0.224,0.184,0.14,0.106,0.089,0.084,0.085,0.089,0.095,0.106,0.117,0.128,0.135,0.145,0.163,0.192,0.226,0.25,0.249,0.223,0.184,0.156,0.147,0.151,0.153,0.144,0.132,0.134,0.155,0.19,0.218,0.227,0.217,0.198,0.178,0.161,0.145,0.128,0.114,0.107,0.11,0.121,0.133,0.139,0.139,0.133,0.126,0.122,0.123,0.129,0.138,0.149,0.161,0.173,0.183,0.187,0.183,0.171,0.156,0.141,0.133,0.133,0.141,0.152,0.162,0.167,0.167,0.167,0.17,0.181,0.197,0.21,0.209,0.192,0.165,0.138,0.12,0.114,0.118,0.126,0.132,0.131,0.122,0.108,0.098,0.1,0.115,0.137,0.157,0.171,0.181,0.191,0.202,0.207,0.201,0.185,0.168,0.154,0.144,0.131,0.115,0.1,0.094,0.106,0.134,0.169,0.198,0.213,0.217,0.215,0.212,0.21,0.21,0.212,0.22,0.239,0.271,0.308,0.335,0.349,0.357,0.371,0.39,0.402,0.398,0.386,0.378,0.378,0.382,0.385,0.387,0.387,0.381,0.364,0.337,0.305,0.277,0.254,0.241,0.237,0.239,0.246,0.257,0.276,0.308,0.353,0.409,0.464,0.505,0.521,0.513,0.483,0.439,0.389,0.346,0.319,0.308,0.304,0.297,0.295,0.31,0.344,0.379,0.393,0.379,0.348,0.316,0.291,0.274,0.262,0.256,0.257,0.265,0.274,0.279,0.276,0.271,0.272,0.286,0.314,0.356,0.41,0.473,0.535,0.591,0.631,0.646,0.62,0.55,0.457,0.374,0.328,0.322,0.339,0.357,0.362,0.352,0.338,0.326,0.319,0.311,0.298,0.281,0.266,0.258,0.26,0.274,0.295,0.318,0.336,0.342,0.337,0.324,0.308,0.291,0.277,0.268,0.266,0.268,0.269,0.266,0.258,0.249,0.241,0.233,0.229,0.231,0.238,0.244,0.243,0.229,0.207,0.184,0.169,0.167,0.174,0.181,0.185,0.187,0.195,0.214,0.235,0.247,0.243,0.228,0.21,0.195,0.183,0.171,0.161,0.153,0.149,0.147,0.148,0.152,0.158,0.164,0.17,0.175,0.184,0.199,0.219,0.239,0.25,0.252,0.245,0.234,0.221,0.211,0.205,0.205,0.211,0.224,0.242,0.259,0.266,0.263,0.255,0.249,0.248,0.253,0.266,0.289,0.319,0.344,0.353,0.342,0.321,0.299,0.285,0.278,0.278,0.282,0.283,0.279,0.266,0.252,0.242,0.238,0.239,0.242,0.24,0.23,0.214,0.199,0.188,0.182,0.176,0.171,0.168,0.166,0.163,0.161,0.163,0.176,0.197,0.219,0.239,0.254,0.266,0.273,0.269,0.256,0.239,0.239,0.266,0.319,0.367,0.385,0.371,0.352,0.358,0.39,0.426,0.436,0.414,0.366,0.308,0.252,0.21,0.191,0.195,0.214,0.234,0.247,0.253,0.256,0.259,0.259,0.256,0.249,0.239,0.229,0.224,0.234,0.262,0.299,0.327,0.329,0.307,0.278,0.263,0.269,0.285,0.294,0.281,0.246,0.199,0.159,0.132,0.119,0.115,0.121,0.138,0.165,0.19,0.205,0.207,0.202,0.2,0.205,0.219,0.234,0.242,0.238,0.221,0.197,0.17,0.147,0.132,0.125,0.124,0.126,0.125,0.121,0.111,0.099,0.086,0.079,0.078,0.082,0.085,0.084,0.078,0.071,0.068,0.068,0.069,0.07,0.073,0.083,0.101,0.121,0.134,0.133,0.116,0.096,0.08,0.075,0.077,0.082,0.087,0.094,0.1,0.106,0.112,0.117,0.12,0.12,0.119,0.124,0.139,0.161,0.176,0.177,0.163,0.142,0.118,0.097,0.082,0.075,0.078,0.09,0.107,0.122,0.126,0.12,0.114,0.117,0.133,0.157,0.177,0.188,0.19,0.185,0.175,0.157,0.132,0.106,0.087,0.084,0.101,0.133,0.171,0.203,0.218,0.216,0.2,0.178,0.157,0.139,0.125,0.112,0.103,0.1,0.106,0.118,0.129,0.135,0.138,0.144,0.155,0.167,0.168,0.157,0.135,0.11,0.091,0.08,0.077,0.077,0.082,0.093,0.116,0.152,0.198,0.24,0.26,0.25,0.218,0.186,0.172,0.176,0.184,0.19,0.195,0.199,0.198,0.189,0.174,0.159,0.149,0.147,0.154,0.167,0.179,0.184,0.176,0.169,0.169,0.18,0.188,0.183,0.162,0.139,0.122,0.114,0.111,0.106,0.099,0.095,0.103,0.128,0.165,0.203,0.228,0.236,0.23,0.222,0.213,0.198,0.171,0.138,0.113,0.11,0.124,0.141,0.145,0.132,0.111,0.1,0.108,0.131,0.155,0.167,0.166,0.157,0.148,0.141,0.133,0.117,0.097,0.075,0.058,0.048,0.041,0.037,0.035,0.037,0.045,0.056,0.067,0.074,0.075,0.072,0.068,0.066,0.066,0.072,0.086,0.107,0.127,0.136,0.133,0.129,0.136,0.159,0.183,0.191,0.176,0.149,0.128,0.123,0.131,0.139,0.138,0.126,0.112,0.107,0.122,0.159,0.21,0.253,0.265,0.241,0.199,0.167,0.164,0.191,0.231,0.266,0.283,0.277,0.249,0.202,0.145,0.096,0.068,0.067,0.086,0.113,0.135,0.142,0.134,0.122,0.12,0.139,0.177,0.219,0.243,0.242,0.219,0.187,0.162,0.152,0.161,0.178,0.186,0.175,0.148,0.12,0.104,0.105,0.115,0.132,0.154,0.18,0.203,0.215,0.214,0.206,0.199,0.192,0.175,0.145,0.107,0.07,0.047,0.04,0.046,0.057,0.065,0.066,0.061,0.051,0.041,0.032,0.028,0.032,0.048,0.077,0.108,0.135,0.148,0.15,0.149,0.152,0.163,0.179,0.196,0.207,0.208,0.195,0.171,0.141,0.114,0.09,0.072,0.062,0.063,0.074,0.087,0.102,0.121,0.15,0.185,0.218,0.237,0.236,0.214,0.18,0.15,0.132,0.123,0.117,0.109,0.101,0.096,0.092,0.085,0.07,0.052,0.036,0.029,0.034,0.05,0.067,0.077,0.079,0.078,0.078,0.079,0.076,0.068,0.065,0.081,0.118,0.162,0.192,0.197,0.185,0.172,0.164,0.154,0.133,0.103,0.071,0.047,0.038,0.041,0.051,0.06,0.059,0.049,0.034,0.022,0.017,0.025,0.046,0.079,0.114,0.138,0.142,0.125,0.097,0.069,0.051,0.045,0.044,0.044,0.044,0.048,0.06,0.075,0.087,0.09,0.082,0.066,0.05,0.039,0.04,0.054,0.075,0.095,0.108,0.109,0.098,0.079,0.057,0.041,0.039,0.051,0.074,0.096,0.109,0.108,0.096,0.077,0.059,0.046,0.041,0.041,0.042,0.041,0.038,0.033,0.03,0.03,0.034,0.04,0.045,0.049,0.057,0.071,0.095,0.122,0.141,0.145,0.132,0.114,0.102,0.098,0.105,0.132,0.188,0.265,0.327,0.336,0.284,0.201,0.132,0.095,0.086,0.085,0.083,0.082,0.09,0.106,0.123,0.128,0.119,0.101,0.083,0.074,0.081,0.105,0.141,0.177,0.199,0.2,0.18,0.149,0.12,0.1,0.094,0.098,0.104,0.106,0.104,0.102,0.099,0.094,0.083,0.066,0.052,0.047,0.056,0.076,0.103,0.13,0.15,0.161,0.163,0.165,0.173,0.18,0.177,0.159,0.136,0.118,0.108,0.101,0.093,0.081,0.068,0.057,0.048,0.044,0.047,0.058,0.07,0.079,0.079,0.072,0.063,0.062,0.07,0.086,0.102,0.114,0.118,0.114,0.103,0.087,0.071,0.058,0.05,0.047,0.046,0.047,0.049,0.05,0.049,0.046,0.043,0.04,0.04,0.043,0.048,0.053,0.056,0.057,0.057,0.056,0.054,0.05,0.045,0.042,0.042,0.045,0.048,0.052,0.058,0.067,0.08,0.091,0.095,0.09,0.08,0.069,0.062,0.061,0.061,0.062,0.061,0.061,0.062,0.063,0.062,0.063,0.067,0.074,0.081,0.087,0.087,0.084,0.087,0.102,0.132,0.161,0.173,0.158,0.128,0.098,0.084,0.084,0.097,0.116,0.14,0.165,0.188,0.204,0.214,0.216,0.21,0.2,0.187,0.175,0.164,0.153,0.14,0.127,0.112,0.099,0.088,0.082,0.082,0.086,0.091,0.093,0.09,0.085,0.077,0.068,0.058,0.049,0.042,0.037,0.035,0.036,0.039,0.042,0.045,0.046,0.046,0.045,0.042,0.036,0.028,0.02,0.013,0.008,0.004,0.002,0.001,0.001,0,0,0,0,0]