[0.126,0.161,0.232,0.311,0.365,0.384,0.37,0.345,0.317,0.295,0.281,0.275,0.265,0.243,0.201,0.149,0.099,0.065,0.048,0.048,0.067,0.104,0.149,0.184,0.19,0.164,0.126,0.105,0.123,0.18,0.251,0.314,0.356,0.382,0.389,0.37,0.323,0.259,0.202,0.169,0.161,0.169,0.186,0.204,0.218,0.223,0.215,0.199,0.193,0.213,0.261,0.311,0.332,0.312,0.272,0.241,0.233,0.238,0.24,0.228,0.207,0.185,0.17,0.168,0.174,0.177,0.165,0.133,0.091,0.051,0.026,0.019,0.028,0.049,0.078,0.109,0.14,0.173,0.208,0.242,0.265,0.269,0.258,0.242,0.233,0.237,0.25,0.265,0.283,0.307,0.333,0.346,0.328,0.275,0.21,0.164,0.16,0.192,0.23,0.247,0.233,0.202,0.167,0.134,0.102,0.075,0.058,0.052,0.053,0.052,0.048,0.041,0.032,0.023,0.016,0.014,0.022,0.048,0.098,0.161,0.217,0.241,0.231,0.201,0.179,0.178,0.195,0.215,0.223,0.206,0.168,0.122,0.09,0.083,0.102,0.138,0.18,0.219,0.248,0.263,0.265,0.252,0.219,0.168,0.11,0.059,0.027,0.015,0.022,0.052,0.105,0.18,0.262,0.333,0.37,0.362,0.312,0.251,0.212,0.215,0.242,0.259,0.246,0.213,0.184,0.177,0.187,0.202,0.203,0.191,0.175,0.174,0.194,0.224,0.245,0.245,0.231,0.217,0.213,0.22,0.229,0.231,0.223,0.205,0.182,0.162,0.148,0.14,0.136,0.132,0.124,0.111,0.095,0.086,0.09,0.106,0.124,0.132,0.125,0.105,0.078,0.052,0.03,0.016,0.008,0.006,0.005,0.008,0.016,0.036,0.073,0.122,0.169,0.196,0.192,0.164,0.135,0.126,0.146,0.18,0.207,0.213,0.2,0.182,0.168,0.16,0.155,0.152,0.148,0.143,0.134,0.118,0.095,0.07,0.047,0.029,0.017,0.01,0.006,0.004,0.004,0.003,0.004,0.004,0.004,0.005,0.007,0.018,0.05,0.109,0.19,0.268,0.316,0.319,0.285,0.231,0.175,0.127,0.093,0.075,0.07,0.074,0.078,0.075,0.066,0.053,0.048,0.061,0.097,0.153,0.214,0.262,0.288,0.294,0.293,0.295,0.299,0.298,0.289,0.272,0.253,0.237,0.227,0.22,0.207,0.186,0.164,0.155,0.164,0.182,0.195,0.196,0.192,0.193,0.202,0.216,0.229,0.243,0.267,0.304,0.343,0.364,0.351,0.308,0.255,0.211,0.191,0.207,0.262,0.346,0.429,0.475,0.457,0.377,0.266,0.16,0.086,0.045,0.026,0.016,0.013,0.02,0.048,0.101,0.173,0.24,0.279,0.279,0.249,0.21,0.175,0.15,0.13,0.109,0.091,0.079,0.075,0.079,0.087,0.102,0.127,0.163,0.198,0.219,0.219,0.201,0.174,0.15,0.131,0.115,0.097,0.078,0.065,0.069,0.096,0.147,0.203,0.249,0.271,0.271,0.261,0.257,0.266,0.283,0.295,0.297,0.295,0.305,0.328,0.351,0.356,0.336,0.297,0.254,0.225,0.217,0.228,0.249,0.265,0.268,0.255,0.236,0.222,0.226,0.249,0.282,0.312,0.331,0.331,0.31,0.271,0.221,0.17,0.125,0.092,0.077,0.083,0.105,0.131,0.142,0.129,0.097,0.059,0.03,0.014,0.008,0.006,0.007,0.013,0.031,0.066,0.114,0.159,0.182,0.171,0.141,0.118,0.125,0.159,0.193,0.204,0.185,0.158,0.14,0.14,0.144,0.14,0.128,0.123,0.135,0.163,0.196,0.228,0.259,0.292,0.315,0.313,0.278,0.217,0.147,0.086,0.043,0.019,0.009,0.006,0.01,0.028,0.074,0.145,0.219,0.258,0.24,0.175,0.104,0.059,0.049,0.057,0.062,0.056,0.044,0.042,0.057,0.093,0.137,0.184,0.233,0.285,0.335,0.377,0.402,0.41,0.396,0.36,0.302,0.235,0.174,0.133,0.113,0.103,0.095,0.086,0.075,0.061,0.046,0.032,0.021,0.016,0.019,0.037,0.081,0.156,0.251,0.338,0.389,0.394,0.364,0.319,0.272,0.234,0.213,0.21,0.217,0.22,0.216,0.206,0.198,0.193,0.192,0.196,0.203,0.206,0.196,0.171,0.133,0.093,0.06,0.037,0.022,0.014,0.009,0.008,0.011,0.024,0.05,0.086,0.12,0.141,0.152,0.161,0.173,0.182,0.178,0.158,0.132,0.108,0.09,0.076,0.066,0.061,0.06,0.064,0.075,0.098,0.132,0.167,0.189,0.188,0.17,0.148,0.13,0.116,0.097,0.07,0.043,0.021,0.01,0.006,0.005,0.005,0.008,0.016,0.031,0.053,0.077,0.1,0.116,0.124,0.12,0.113,0.113,0.131,0.161,0.193,0.212,0.214,0.2,0.183,0.172,0.171,0.173,0.166,0.142,0.107,0.078,0.066,0.075,0.096,0.116,0.131,0.142,0.156,0.177,0.2,0.218,0.227,0.229,0.228,0.229,0.235,0.242,0.239,0.213,0.166,0.113,0.077,0.076,0.11,0.16,0.199,0.208,0.187,0.157,0.14,0.141,0.151,0.164,0.18,0.198,0.21,0.209,0.2,0.193,0.195,0.2,0.197,0.176,0.146,0.118,0.105,0.112,0.132,0.153,0.166,0.161,0.141,0.116,0.105,0.117,0.153,0.197,0.237,0.265,0.281,0.282,0.263,0.222,0.166,0.113,0.087,0.1,0.145,0.2,0.247,0.283,0.315,0.346,0.364,0.348,0.29,0.204,0.121,0.061,0.029,0.018,0.021,0.038,0.068,0.111,0.159,0.211,0.258,0.297,0.316,0.316,0.3,0.274,0.245,0.22,0.206,0.203,0.204,0.196,0.177,0.151,0.125,0.1,0.075,0.053,0.036,0.028,0.036,0.062,0.105,0.157,0.204,0.235,0.242,0.224,0.185,0.139,0.104,0.093,0.105,0.132,0.16,0.179,0.183,0.171,0.147,0.123,0.112,0.113,0.114,0.106,0.086,0.064,0.048,0.039,0.035,0.031,0.027,0.022,0.021,0.025,0.04,0.067,0.098,0.121,0.126,0.108,0.08,0.055,0.047,0.056,0.076,0.098,0.116,0.126,0.131,0.131,0.124,0.111,0.097,0.09,0.098,0.117,0.138,0.148,0.142,0.125,0.104,0.089,0.083,0.081,0.076,0.062,0.044,0.028,0.023,0.03,0.049,0.077,0.102,0.119,0.126,0.132,0.149,0.176,0.207,0.228,0.234,0.225,0.204,0.179,0.158,0.146,0.141,0.13,0.112,0.092,0.085,0.094,0.111,0.121,0.114,0.096,0.08,0.083,0.115,0.166,0.21,0.219,0.185,0.13,0.087,0.076,0.098,0.134,0.17,0.192,0.203,0.203,0.199,0.198,0.205,0.219,0.233,0.244,0.249,0.252,0.254,0.257,0.258,0.255,0.245,0.228,0.203,0.175,0.149,0.13,0.121,0.123,0.135,0.152,0.164,0.163,0.148,0.128,0.121,0.149,0.221,0.324,0.42,0.476,0.477,0.439,0.386,0.337,0.298,0.267,0.24,0.217,0.196,0.173,0.145,0.12,0.109,0.118,0.143,0.171,0.195,0.217,0.24,0.264,0.277,0.276,0.265,0.253,0.249,0.253,0.263,0.269,0.262,0.239,0.209,0.184,0.17,0.161,0.15,0.134,0.116,0.098,0.087,0.082,0.084,0.089,0.092,0.089,0.079,0.065,0.05,0.038,0.031,0.027,0.026,0.029,0.036,0.048,0.061,0.067,0.061,0.046,0.028,0.016,0.012,0.02,0.045,0.087,0.136,0.174,0.19,0.179,0.152,0.118,0.087,0.065,0.058,0.065,0.088,0.118,0.144,0.152,0.137,0.109,0.087,0.087,0.111,0.15,0.19,0.222,0.238,0.236,0.213,0.173,0.127,0.086,0.059,0.044,0.037,0.037,0.044,0.055,0.069,0.083,0.097,0.108,0.116,0.119,0.116,0.111,0.105,0.103,0.102,0.1,0.095,0.089,0.087,0.091,0.095,0.093,0.085,0.073,0.06,0.05,0.041,0.035,0.034,0.035,0.035,0.032,0.027,0.023,0.022,0.026,0.033,0.047,0.076,0.128,0.2,0.273,0.318,0.314,0.262,0.184,0.108,0.053,0.024,0.017,0.025,0.043,0.066,0.094,0.123,0.151,0.171,0.178,0.172,0.155,0.136,0.126,0.14,0.185,0.255,0.323,0.356,0.342,0.29,0.228,0.171,0.126,0.09,0.064,0.05,0.055,0.082,0.13,0.185,0.224,0.234,0.222,0.216,0.245,0.308,0.377,0.414,0.406,0.37,0.333,0.313,0.308,0.307,0.302,0.296,0.292,0.287,0.273,0.241,0.198,0.157,0.131,0.127,0.139,0.156,0.17,0.174,0.173,0.176,0.188,0.205,0.217,0.218,0.215,0.225,0.26,0.31,0.353,0.366,0.345,0.304,0.256,0.205,0.153,0.105,0.07,0.051,0.047,0.048,0.049,0.047,0.045,0.05,0.063,0.079,0.085,0.075,0.052,0.03,0.016,0.017,0.031,0.052,0.071,0.08,0.078,0.071,0.077,0.103,0.144,0.181,0.198,0.192,0.176,0.16,0.152,0.152,0.159,0.171,0.183,0.189,0.193,0.2,0.209,0.21,0.198,0.182,0.173,0.176,0.178,0.164,0.132,0.093,0.062,0.047,0.049,0.066,0.092,0.121,0.145,0.158,0.158,0.148,0.13,0.109,0.089,0.072,0.059,0.051,0.046,0.047,0.057,0.072,0.085,0.089,0.082,0.067,0.051,0.039,0.034,0.037,0.048,0.061,0.074,0.09,0.117,0.153,0.183,0.19,0.168,0.13,0.091,0.06,0.04,0.03,0.031,0.045,0.068,0.093,0.115,0.131,0.144,0.156,0.171,0.19,0.205,0.205,0.185,0.148,0.106,0.068,0.039,0.021,0.016,0.023,0.044,0.073,0.102,0.118,0.118,0.11,0.108,0.122,0.152,0.183,0.202,0.197,0.173,0.138,0.111,0.097,0.096,0.101,0.105,0.101,0.091,0.076,0.059,0.044,0.031,0.024,0.025,0.039,0.068,0.109,0.148,0.168,0.157,0.123,0.083,0.055,0.045,0.047,0.051,0.051,0.046,0.04,0.034,0.035,0.049,0.083,0.131,0.179,0.206,0.208,0.195,0.186,0.195,0.223,0.257,0.279,0.278,0.259,0.232,0.207,0.183,0.16,0.139,0.125,0.114,0.103,0.091,0.08,0.076,0.081,0.087,0.09,0.083,0.069,0.051,0.035,0.024,0.022,0.032,0.055,0.085,0.109,0.115,0.104,0.094,0.107,0.149,0.198,0.225,0.216,0.184,0.157,0.148,0.156,0.17,0.18,0.184,0.183,0.184,0.188,0.192,0.189,0.174,0.148,0.116,0.086,0.06,0.041,0.03,0.032,0.05,0.083,0.122,0.155,0.17,0.169,0.164,0.166,0.173,0.174,0.157,0.124,0.087,0.056,0.037,0.031,0.04,0.062,0.098,0.138,0.168,0.181,0.18,0.177,0.177,0.172,0.15,0.112,0.068,0.034,0.015,0.009,0.013,0.026,0.047,0.073,0.094,0.106,0.108,0.104,0.096,0.087,0.082,0.089,0.112,0.145,0.176,0.197,0.21,0.223,0.241,0.257,0.257,0.231,0.187,0.143,0.114,0.104,0.107,0.113,0.113,0.103,0.086,0.069,0.058,0.057,0.067,0.082,0.098,0.112,0.126,0.143,0.158,0.164,0.157,0.143,0.129,0.124,0.129,0.136,0.134,0.121,0.102,0.087,0.079,0.076,0.078,0.087,0.107,0.136,0.169,0.193,0.199,0.186,0.164,0.142,0.123,0.104,0.082,0.056,0.034,0.019,0.011,0.007,0.006,0.009,0.021,0.046,0.085,0.125,0.152,0.152,0.125,0.085,0.05,0.031,0.03,0.042,0.058,0.071,0.077,0.076,0.07,0.061,0.051,0.043,0.036,0.033,0.035,0.047,0.068,0.094,0.116,0.129,0.13,0.126,0.126,0.134,0.148,0.157,0.15,0.13,0.107,0.092,0.082,0.072,0.059,0.048,0.046,0.056,0.072,0.085,0.087,0.079,0.07,0.067,0.072,0.078,0.081,0.079,0.073,0.068,0.062,0.057,0.051,0.045,0.043,0.047,0.061,0.085,0.112,0.133,0.141,0.134,0.119,0.109,0.111,0.126,0.147,0.169,0.186,0.194,0.189,0.172,0.156,0.155,0.17,0.187,0.191,0.175,0.149,0.125,0.112,0.106,0.101,0.091,0.08,0.071,0.068,0.07,0.078,0.091,0.105,0.115,0.116,0.106,0.088,0.069,0.054,0.043,0.034,0.025,0.017,0.011,0.008,0.009,0.016,0.032,0.056,0.077,0.088,0.085,0.077,0.077,0.092,0.118,0.147,0.171,0.188,0.197,0.198,0.19,0.177,0.166,0.166,0.175,0.185,0.183,0.165,0.133,0.099,0.072,0.057,0.051,0.047,0.04,0.028,0.019,0.02,0.043,0.095,0.176,0.268,0.341,0.374,0.364,0.324,0.272,0.22,0.174,0.139,0.117,0.11,0.118,0.137,0.158,0.172,0.171,0.16,0.148,0.147,0.159,0.176,0.184,0.173,0.141,0.099,0.059,0.031,0.019,0.023,0.045,0.08,0.122,0.16,0.185,0.196,0.196,0.194,0.193,0.19,0.182,0.17,0.161,0.162,0.174,0.185,0.185,0.165,0.131,0.097,0.076,0.074,0.088,0.111,0.134,0.153,0.164,0.167,0.165,0.165,0.172,0.187,0.196,0.188,0.159,0.12,0.089,0.074,0.074,0.077,0.076,0.071,0.064,0.058,0.054,0.05,0.045,0.038,0.03,0.024,0.024,0.034,0.053,0.075,0.091,0.092,0.081,0.069,0.064,0.068,0.077,0.081,0.079,0.071,0.064,0.065,0.079,0.099,0.111,0.109,0.096,0.087,0.089,0.1,0.111,0.114,0.111,0.109,0.11,0.113,0.109,0.097,0.079,0.066,0.065,0.086,0.131,0.186,0.229,0.236,0.207,0.163,0.134,0.134,0.156,0.18,0.188,0.178,0.159,0.149,0.152,0.165,0.177,0.18,0.174,0.165,0.157,0.154,0.154,0.155,0.151,0.137,0.112,0.085,0.064,0.06,0.071,0.091,0.112,0.131,0.15,0.168,0.181,0.185,0.179,0.165,0.153,0.148,0.151,0.155,0.146,0.119,0.082,0.047,0.022,0.011,0.01,0.019,0.043,0.08,0.122,0.155,0.166,0.156,0.133,0.107,0.082,0.063,0.051,0.047,0.051,0.062,0.074,0.081,0.078,0.065,0.05,0.037,0.031,0.028,0.027,0.026,0.024,0.023,0.021,0.023,0.028,0.036,0.05,0.07,0.099,0.136,0.167,0.179,0.165,0.137,0.111,0.099,0.097,0.094,0.085,0.071,0.056,0.043,0.033,0.027,0.024,0.021,0.02,0.017,0.015,0.013,0.013,0.012,0.013,0.013,0.015,0.017,0.021,0.026,0.033,0.047,0.069,0.097,0.12,0.127,0.111,0.081,0.05,0.031,0.028,0.034,0.041,0.043,0.039,0.031,0.024,0.021,0.024,0.037,0.059,0.087,0.118,0.153,0.19,0.22,0.226,0.204,0.163,0.126,0.106,0.107,0.122,0.136,0.143,0.144,0.149,0.166,0.191,0.215,0.219,0.199,0.162,0.124,0.097,0.082,0.072,0.061,0.052,0.054,0.068,0.089,0.103,0.102,0.086,0.064,0.044,0.028,0.018,0.014,0.02,0.042,0.082,0.128,0.16,0.161,0.134,0.099,0.081,0.091,0.121,0.147,0.151,0.132,0.099,0.068,0.045,0.034,0.039,0.058,0.083,0.102,0.116,0.135,0.181,0.248,0.308,0.319,0.271,0.187,0.11,0.06,0.042,0.049,0.074,0.113,0.15,0.174,0.181,0.175,0.167,0.162,0.163,0.166,0.17,0.169,0.167,0.166,0.169,0.169,0.16,0.141,0.116,0.093,0.078,0.082,0.108,0.148,0.184,0.199,0.199,0.203,0.223,0.243,0.24,0.199,0.137,0.08,0.048,0.047,0.074,0.112,0.144,0.153,0.14,0.118,0.103,0.102,0.109,0.12,0.133,0.15,0.164,0.168,0.153,0.125,0.091,0.061,0.038,0.024,0.016,0.012,0.01,0.011,0.021,0.045,0.086,0.136,0.18,0.202,0.199,0.177,0.153,0.134,0.12,0.11,0.107,0.113,0.123,0.131,0.132,0.129,0.135,0.153,0.181,0.205,0.215,0.204,0.181,0.164,0.168,0.192,0.218,0.229,0.223,0.212,0.203,0.192,0.171,0.142,0.122,0.126,0.151,0.18,0.191,0.176,0.144,0.107,0.076,0.056,0.044,0.037,0.034,0.034,0.038,0.05,0.068,0.084,0.089,0.077,0.054,0.032,0.018,0.015,0.022,0.035,0.052,0.071,0.085,0.088,0.078,0.059,0.038,0.022,0.012,0.009,0.011,0.019,0.031,0.045,0.054,0.058,0.055,0.051,0.049,0.054,0.063,0.072,0.073,0.066,0.057,0.05,0.049,0.049,0.047,0.039,0.031,0.027,0.032,0.046,0.065,0.081,0.089,0.085,0.074,0.061,0.055,0.057,0.064,0.07,0.069,0.061,0.053,0.052,0.059,0.071,0.081,0.084,0.075,0.059,0.047,0.055,0.09,0.143,0.191,0.21,0.192,0.153,0.116,0.093,0.084,0.081,0.076,0.07,0.063,0.058,0.053,0.049,0.044,0.041,0.044,0.057,0.079,0.104,0.124,0.144,0.167,0.19,0.202,0.195,0.17,0.14,0.117,0.105,0.102,0.111,0.129,0.156,0.183,0.202,0.207,0.199,0.19,0.194,0.213,0.235,0.24,0.222,0.19,0.162,0.148,0.144,0.137,0.119,0.092,0.067,0.048,0.041,0.042,0.047,0.054,0.061,0.068,0.08,0.099,0.124,0.152,0.169,0.168,0.153,0.134,0.121,0.113,0.104,0.088,0.067,0.044,0.027,0.016,0.012,0.015,0.029,0.051,0.077,0.097,0.105,0.106,0.115,0.143,0.187,0.223,0.227,0.199,0.164,0.156,0.187,0.24,0.277,0.271,0.223,0.158,0.107,0.088,0.101,0.13,0.159,0.172,0.167,0.153,0.147,0.156,0.171,0.173,0.156,0.128,0.104,0.094,0.089,0.081,0.066,0.051,0.044,0.05,0.069,0.095,0.122,0.151,0.178,0.2,0.211,0.207,0.194,0.182,0.179,0.185,0.19,0.181,0.152,0.111,0.072,0.047,0.042,0.053,0.076,0.104,0.133,0.159,0.182,0.201,0.219,0.237,0.25,0.247,0.223,0.19,0.164,0.151,0.142,0.122,0.089,0.054,0.031,0.031,0.057,0.11,0.175,0.23,0.253,0.239,0.202,0.164,0.14,0.128,0.119,0.105,0.084,0.063,0.048,0.045,0.057,0.078,0.102,0.119,0.125,0.124,0.117,0.107,0.091,0.069,0.046,0.032,0.032,0.047,0.07,0.097,0.12,0.137,0.148,0.148,0.139,0.119,0.094,0.068,0.046,0.033,0.034,0.05,0.076,0.101,0.111,0.099,0.074,0.05,0.039,0.04,0.047,0.052,0.055,0.065,0.087,0.121,0.161,0.205,0.25,0.292,0.319,0.323,0.304,0.273,0.236,0.194,0.149,0.113,0.096,0.104,0.132,0.174,0.226,0.29,0.361,0.421,0.448,0.426,0.365,0.285,0.209,0.145,0.094,0.059,0.039,0.032,0.035,0.039,0.041,0.037,0.031,0.029,0.031,0.036,0.04,0.039,0.036,0.034,0.036,0.04,0.045,0.048,0.047,0.048,0.053,0.062,0.072,0.078,0.083,0.089,0.098,0.105,0.105,0.098,0.088,0.081,0.078,0.077,0.078,0.081,0.083,0.082,0.073,0.058,0.043,0.033,0.029,0.031,0.039,0.052,0.07,0.096,0.126,0.159,0.189,0.209,0.216,0.215,0.218,0.229,0.247,0.254,0.244,0.215,0.177,0.139,0.106,0.076,0.052,0.038,0.037,0.048,0.061,0.067,0.062,0.05,0.042,0.046,0.067,0.099,0.136,0.172,0.198,0.207,0.195,0.165,0.127,0.091,0.064,0.051,0.054,0.068,0.084,0.089,0.078,0.056,0.033,0.017,0.012,0.02,0.042,0.074,0.109,0.133,0.137,0.119,0.09,0.059,0.039,0.036,0.054,0.09,0.135,0.17,0.176,0.15,0.104,0.058,0.027,0.012,0.01,0.015,0.027,0.043,0.059,0.072,0.088,0.109,0.138,0.162,0.166,0.142,0.099,0.057,0.027,0.014,0.011,0.012,0.015,0.018,0.021,0.023,0.023,0.02,0.017,0.015,0.014,0.015,0.017,0.019,0.023,0.03,0.04,0.054,0.066,0.07,0.067,0.058,0.049,0.04,0.033,0.027,0.022,0.018,0.016,0.015,0.015,0.017,0.019,0.021,0.024,0.027,0.03,0.034,0.035,0.034,0.031,0.027,0.025,0.025,0.028,0.029,0.028,0.024,0.019,0.014,0.011,0.009,0.008,0.008,0.008,0.008,0.007,0.012,0.03,0.077,0.153,0.241,0.309,0.34,0.347,0.35,0.359,0.353,0.313,0.239,0.159,0.104,0.089,0.111,0.156,0.211,0.257,0.283,0.286,0.282,0.285,0.297,0.303,0.292,0.269,0.255,0.27,0.304,0.327,0.307,0.241,0.153,0.079,0.033,0.017]