[0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.005,0.017,0.045,0.09,0.139,0.173,0.178,0.16,0.135,0.117,0.108,0.104,0.104,0.108,0.118,0.129,0.138,0.147,0.155,0.162,0.162,0.154,0.14,0.128,0.12,0.111,0.095,0.07,0.042,0.019,0.007,0.002,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.006,0.024,0.058,0.108,0.158,0.188,0.189,0.168,0.142,0.124,0.111,0.1,0.089,0.086,0.107,0.165,0.261,0.382,0.491,0.547,0.525,0.438,0.324,0.232,0.179,0.161,0.152,0.137,0.111,0.085,0.069,0.07,0.084,0.103,0.124,0.141,0.15,0.145,0.124,0.091,0.057,0.029,0.012,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.003,0.011,0.027,0.052,0.079,0.1,0.111,0.117,0.124,0.136,0.152,0.164,0.168,0.161,0.143,0.121,0.103,0.096,0.103,0.116,0.132,0.148,0.165,0.184,0.2,0.207,0.199,0.177,0.148,0.116,0.084,0.054,0.03,0.014,0.005,0.002,0.001,0,0,0,0,0,0.001,0.005,0.019,0.047,0.09,0.137,0.173,0.189,0.186,0.172,0.161,0.158,0.168,0.191,0.225,0.262,0.292,0.305,0.295,0.268,0.236,0.214,0.203,0.199,0.196,0.189,0.181,0.17,0.156,0.14,0.126,0.117,0.11,0.098,0.079,0.054,0.031,0.016,0.015,0.032,0.066,0.109,0.148,0.168,0.167,0.152,0.135,0.126,0.128,0.142,0.161,0.175,0.176,0.161,0.137,0.113,0.097,0.088,0.085,0.081,0.075,0.067,0.058,0.048,0.036,0.023,0.013,0.006,0.002,0,0,0,0.001,0.001,0.005,0.018,0.044,0.085,0.129,0.162,0.173,0.165,0.152,0.145,0.145,0.145,0.139,0.125,0.106,0.087,0.073,0.068,0.072,0.083,0.093,0.101,0.109,0.124,0.148,0.174,0.192,0.194,0.181,0.157,0.128,0.1,0.076,0.058,0.044,0.035,0.03,0.033,0.043,0.06,0.082,0.107,0.134,0.157,0.171,0.171,0.162,0.151,0.143,0.135,0.119,0.095,0.066,0.039,0.019,0.007,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.003,0.011,0.032,0.072,0.125,0.177,0.21,0.213,0.193,0.163,0.138,0.125,0.124,0.132,0.145,0.161,0.177,0.186,0.185,0.178,0.174,0.177,0.187,0.198,0.206,0.204,0.188,0.162,0.134,0.111,0.097,0.087,0.077,0.067,0.057,0.046,0.034,0.022,0.012,0.005,0.001,0,0,0.001,0.004,0.016,0.042,0.084,0.131,0.163,0.17,0.154,0.133,0.12,0.115,0.111,0.101,0.088,0.078,0.082,0.102,0.135,0.173,0.203,0.215,0.21,0.196,0.182,0.169,0.154,0.134,0.113,0.096,0.083,0.072,0.058,0.042,0.027,0.014,0.007,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.003,0.01,0.028,0.059,0.102,0.146,0.188,0.223,0.251,0.27,0.278,0.272,0.248,0.208,0.159,0.115,0.092,0.103,0.148,0.213,0.272,0.302,0.293,0.254,0.207,0.171,0.156,0.16,0.17,0.174,0.168,0.155,0.142,0.129,0.117,0.107,0.101,0.101,0.105,0.108,0.102,0.084,0.059,0.034,0.016,0.006,0.002,0.001,0.001,0.001,0.001,0.001,0.002,0.006,0.017,0.039,0.076,0.128,0.19,0.247,0.282,0.285,0.262,0.225,0.188,0.157,0.13,0.107,0.091,0.087,0.093,0.106,0.122,0.136,0.149,0.16,0.165,0.161,0.15,0.133,0.116,0.102,0.095,0.098,0.109,0.121,0.123,0.112,0.091,0.07,0.053,0.041,0.03,0.02,0.011,0.005,0.002,0.001,0.001,0.004,0.014,0.039,0.083,0.143,0.206,0.253,0.267,0.249,0.21,0.166,0.132,0.115,0.113,0.118,0.122,0.118,0.108,0.1,0.104,0.123,0.153,0.179,0.187,0.174,0.145,0.111,0.081,0.057,0.037,0.02,0.009,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.002,0.01,0.029,0.067,0.123,0.187,0.245,0.278,0.28,0.253,0.208,0.158,0.117,0.093,0.089,0.095,0.101,0.097,0.088,0.081,0.088,0.105,0.123,0.127,0.11,0.078,0.045,0.02,0.007,0.002,0.001,0.001,0.001,0.001,0.002,0.005,0.014,0.029,0.05,0.072,0.095,0.119,0.15,0.185,0.217,0.239,0.247,0.242,0.225,0.196,0.161,0.129,0.113,0.116,0.134,0.155,0.164,0.158,0.137,0.115,0.106,0.114,0.132,0.147,0.149,0.139,0.125,0.112,0.099,0.083,0.064,0.043,0.025,0.012,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.001,0.002,0.005,0.015,0.037,0.068,0.099,0.12,0.127,0.128,0.129,0.135,0.137,0.13,0.11,0.084,0.056,0.033,0.017,0.007,0.002,0.001,0.004,0.013,0.035,0.074,0.129,0.196,0.26,0.308,0.331,0.329,0.309,0.283,0.259,0.248,0.253,0.266,0.272,0.259,0.229,0.194,0.171,0.165,0.172,0.18,0.179,0.167,0.154,0.152,0.169,0.202,0.243,0.281,0.308,0.319,0.308,0.278,0.241,0.211,0.196,0.194,0.201,0.214,0.223,0.22,0.197,0.153,0.101,0.055,0.024,0.008,0.002,0,0,0,0,0,0,0,0,0,0.001,0.003,0.012,0.032,0.063,0.101,0.14,0.173,0.199,0.217,0.224,0.214,0.191,0.168,0.159,0.167,0.181,0.192,0.195,0.197,0.199,0.198,0.191,0.183,0.183,0.194,0.205,0.203,0.18,0.146,0.116,0.098,0.091,0.091,0.093,0.1,0.107,0.112,0.11,0.099,0.08,0.062,0.053,0.062,0.084,0.107,0.115,0.101,0.072,0.041,0.019,0.006,0.002,0.005,0.015,0.038,0.072,0.111,0.147,0.174,0.19,0.197,0.193,0.181,0.165,0.153,0.144,0.139,0.139,0.148,0.169,0.201,0.236,0.262,0.27,0.254,0.218,0.174,0.131,0.093,0.06,0.034,0.016,0.006,0.003,0.002,0.001,0.001,0.001,0,0,0,0,0,0,0.001,0.003,0.009,0.027,0.062,0.112,0.161,0.189,0.192,0.183,0.182,0.195,0.212,0.217,0.212,0.214,0.24,0.285,0.325,0.332,0.297,0.237,0.182,0.154,0.153,0.16,0.157,0.138,0.114,0.102,0.109,0.131,0.154,0.167,0.172,0.181,0.202,0.229,0.247,0.246,0.226,0.197,0.168,0.142,0.118,0.094,0.071,0.05,0.033,0.019,0.01,0.004,0.002,0.001,0.001,0.002,0.005,0.012,0.024,0.04,0.06,0.079,0.094,0.102,0.101,0.096,0.092,0.097,0.11,0.124,0.13,0.123,0.106,0.087,0.072,0.063,0.058,0.057,0.055,0.048,0.036,0.022,0.011,0.004,0.001,0,0,0,0,0.001,0.003,0.012,0.035,0.074,0.12,0.156,0.172,0.172,0.167,0.164,0.16,0.151,0.143,0.14,0.139,0.131,0.109,0.076,0.044,0.021,0.009,0.008,0.019,0.044,0.081,0.123,0.158,0.18,0.189,0.186,0.175,0.158,0.138,0.121,0.112,0.111,0.115,0.116,0.11,0.099,0.087,0.081,0.086,0.101,0.123,0.145,0.163,0.179,0.195,0.208,0.211,0.196,0.164,0.125,0.09,0.067,0.058,0.06,0.068,0.074,0.071,0.061,0.047,0.033,0.021,0.012,0.006,0.003,0.001,0.001,0,0,0,0,0.001,0.004,0.012,0.028,0.052,0.082,0.113,0.137,0.148,0.144,0.127,0.109,0.102,0.117,0.149,0.186,0.211,0.209,0.181,0.139,0.102,0.085,0.091,0.114,0.14,0.159,0.165,0.16,0.145,0.122,0.093,0.063,0.036,0.018,0.01,0.013,0.028,0.055,0.085,0.109,0.12,0.121,0.12,0.124,0.13,0.136,0.145,0.164,0.199,0.24,0.267,0.263,0.227,0.176,0.13,0.101,0.089,0.089,0.089,0.087,0.083,0.085,0.093,0.102,0.1,0.085,0.06,0.035,0.017,0.006,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0.001,0.003,0.011,0.03,0.06,0.096,0.128,0.15,0.161,0.167,0.171,0.177,0.187,0.196,0.207,0.221,0.24,0.262,0.276,0.276,0.265,0.255,0.248,0.241,0.225,0.202,0.176,0.154,0.14,0.133,0.131,0.131,0.134,0.137,0.14,0.144,0.152,0.17,0.195,0.216,0.215,0.188,0.145,0.106,0.081,0.068,0.057,0.042,0.026,0.013,0.005,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0.001,0.001,0.003,0.008,0.02,0.038,0.059,0.079,0.094,0.101,0.1,0.092,0.083,0.079,0.084,0.092,0.097,0.092,0.082,0.075,0.079,0.102,0.141,0.185,0.22,0.234,0.23,0.215,0.2,0.183,0.16,0.131,0.104,0.087,0.083,0.086,0.093,0.098,0.099,0.097,0.097,0.098,0.099,0.095,0.083,0.064,0.042,0.024,0.011,0.004,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.012,0.033,0.07,0.12,0.166,0.195,0.197,0.178,0.149,0.12,0.093,0.069,0.045,0.026,0.013,0.006,0.003,0.002,0.002,0.001,0.002,0.004,0.014,0.034,0.066,0.103,0.132,0.144,0.141,0.135,0.137,0.148,0.157,0.156,0.145,0.132,0.117,0.101,0.08,0.055,0.032,0.015,0.006,0.002,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.002,0.007,0.021,0.046,0.079,0.111,0.133,0.146,0.154,0.163,0.176,0.189,0.197,0.194,0.18,0.157,0.136,0.127,0.129,0.135,0.137,0.138,0.145,0.164,0.191,0.21,0.209,0.185,0.148,0.113,0.089,0.078,0.074,0.07,0.061,0.047,0.03,0.016,0.007,0.002,0.001,0,0,0,0,0,0,0.004,0.014,0.042,0.089,0.15,0.206,0.237,0.235,0.211,0.186,0.177,0.183,0.194,0.199,0.198,0.195,0.188,0.176,0.157,0.144,0.151,0.185,0.235,0.273,0.28,0.255,0.212,0.172,0.146,0.134,0.131,0.13,0.129,0.128,0.13,0.137,0.148,0.155,0.153,0.139,0.118,0.098,0.09,0.1,0.125,0.152,0.163,0.149,0.117,0.078,0.044,0.021,0.008,0.003,0.001,0,0,0,0,0,0.001,0.003,0.01,0.026,0.05,0.08,0.108,0.127,0.135,0.137,0.141,0.151,0.164,0.175,0.176,0.167,0.149,0.126,0.099,0.07,0.044,0.023,0.01,0.004,0.001,0,0.001,0.004,0.014,0.038,0.078,0.127,0.169,0.19,0.187,0.169,0.145,0.118,0.088,0.057,0.03,0.013,0.005,0.008,0.025,0.062,0.118,0.181,0.232,0.258,0.259,0.244,0.221,0.199,0.188,0.193,0.204,0.201,0.171,0.122,0.07,0.032,0.011,0.003,0.001,0,0,0,0,0.001,0.003,0.011,0.031,0.066,0.113,0.161,0.199,0.218,0.223,0.218,0.214,0.217,0.227,0.239,0.249,0.255,0.257,0.253,0.238,0.207,0.166,0.126,0.1,0.085,0.076,0.062,0.043,0.024,0.011,0.004,0.001,0.001,0.001,0.002,0.006,0.018,0.044,0.082,0.124,0.158,0.173,0.168,0.147,0.121,0.105,0.108,0.129,0.159,0.186,0.21,0.23,0.246,0.255,0.254,0.243,0.221,0.188,0.146,0.105,0.073,0.056,0.054,0.061,0.069,0.074,0.072,0.067,0.066,0.072,0.081,0.088,0.089,0.087,0.082,0.074,0.06,0.042,0.025,0.012,0.005,0.001,0,0,0,0,0.001,0.004,0.016,0.042,0.088,0.148,0.208,0.247,0.254,0.232,0.194,0.152,0.116,0.091,0.078,0.075,0.078,0.078,0.072,0.06,0.046,0.032,0.02,0.01,0.005,0.002,0.001,0,0,0,0,0,0,0,0.001,0.002,0.009,0.028,0.063,0.111,0.162,0.206,0.24,0.272,0.306,0.34,0.365,0.373,0.363,0.335,0.292,0.237,0.179,0.13,0.098,0.084,0.082,0.083,0.079,0.067,0.048,0.028,0.014,0.006,0.004,0.007,0.016,0.032,0.057,0.092,0.138,0.194,0.245,0.274,0.269,0.239,0.198,0.167,0.149,0.14,0.133,0.126,0.117,0.11,0.106,0.108,0.115,0.121,0.119,0.107,0.087,0.063,0.041,0.023,0.012,0.005,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.005,0.016,0.036,0.062,0.089,0.111,0.128,0.145,0.164,0.182,0.195,0.202,0.203,0.201,0.201,0.214,0.242,0.278,0.309,0.322,0.308,0.268,0.215,0.164,0.132,0.122,0.128,0.135,0.133,0.12,0.105,0.096,0.092,0.091,0.088,0.081,0.071,0.059,0.045,0.032,0.02,0.012,0.006,0.003,0.002,0.002,0.007,0.018,0.04,0.073,0.116,0.164,0.206,0.232,0.238,0.228,0.207,0.178,0.146,0.116,0.095,0.083,0.076,0.072,0.071,0.072,0.074,0.075,0.076,0.076,0.074,0.066,0.053,0.037,0.023,0.012,0.005,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.002,0.008,0.026,0.06,0.111,0.166,0.212,0.232,0.223,0.193,0.158,0.139,0.146,0.169,0.186,0.181,0.154,0.119,0.089,0.068,0.051,0.035,0.02,0.009,0.004,0.001,0.001,0.001,0.005,0.018,0.051,0.104,0.168,0.217,0.232,0.213,0.181,0.155,0.141,0.134,0.127,0.121,0.121,0.127,0.133,0.133,0.125,0.113,0.103,0.097,0.091,0.079,0.062,0.041,0.022,0.01,0.003,0.001,0,0,0,0,0,0.001,0.004,0.014,0.036,0.071,0.11,0.141,0.155,0.153,0.145,0.137,0.132,0.126,0.119,0.113,0.107,0.102,0.097,0.093,0.09,0.088,0.088,0.094,0.108,0.128,0.152,0.172,0.181,0.173,0.148,0.11,0.071,0.04,0.02,0.01,0.005,0.002,0.001,0,0,0,0,0,0.001,0.002,0.008,0.023,0.051,0.093,0.141,0.179,0.194,0.184,0.158,0.128,0.104,0.092,0.088,0.088,0.088,0.091,0.101,0.124,0.16,0.198,0.224,0.226,0.209,0.183,0.162,0.149,0.139,0.125,0.104,0.083,0.071,0.076,0.1,0.135,0.168,0.184,0.176,0.149,0.118,0.097,0.09,0.091,0.089,0.081,0.068,0.054,0.04,0.029,0.018,0.01,0.005,0.002,0.001,0,0,0,0,0,0,0,0.001,0.003,0.007,0.014,0.024,0.039,0.059,0.084,0.113,0.144,0.173,0.19,0.185,0.161,0.128,0.098,0.075,0.058,0.043,0.028,0.016,0.007,0.003,0.002,0.004,0.013,0.034,0.067,0.108,0.146,0.172,0.19,0.211,0.243,0.282,0.311,0.316,0.295,0.256,0.214,0.182,0.166,0.162,0.168,0.181,0.199,0.215,0.22,0.208,0.184,0.153,0.124,0.099,0.079,0.064,0.051,0.039,0.025,0.014,0.006,0.002,0.001,0,0.001,0.002,0.007,0.019,0.045,0.083,0.124,0.155,0.168,0.172,0.178,0.193,0.208,0.213,0.202,0.181,0.159,0.141,0.132,0.13,0.129,0.123,0.109,0.088,0.066,0.05,0.043,0.051,0.072,0.103,0.132,0.15,0.149,0.134,0.111,0.089,0.071,0.06,0.055,0.054,0.056,0.055,0.052,0.049,0.048,0.049,0.051,0.051,0.045,0.034,0.021,0.01,0.004,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.004,0.012,0.03,0.062,0.106,0.156,0.202,0.23,0.23,0.204,0.166,0.138,0.137,0.161,0.191,0.201,0.183,0.143,0.103,0.074,0.058,0.047,0.035,0.022,0.011,0.005,0.002,0.001,0.001,0.003,0.009,0.02,0.035,0.052,0.069,0.089,0.115,0.145,0.175,0.194,0.196,0.18,0.15,0.117,0.092,0.086,0.106,0.147,0.195,0.227,0.226,0.19,0.139,0.099,0.092,0.122,0.179,0.239,0.275,0.27,0.227,0.162,0.098,0.05,0.023,0.013,0.016,0.032,0.06,0.097,0.134,0.157,0.159,0.138,0.105,0.07,0.044,0.029,0.022,0.02,0.018,0.014,0.01,0.006,0.003,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.003,0.012,0.036,0.079,0.139,0.201,0.246,0.262,0.248,0.21,0.161,0.111,0.068,0.037,0.018,0.007,0.002,0.001,0,0,0.001,0.004,0.015,0.042,0.09,0.156,0.23,0.298,0.344,0.357,0.336,0.291,0.242,0.206,0.193,0.201,0.226,0.263,0.3,0.319,0.307,0.266,0.213,0.173,0.154,0.154,0.158,0.156,0.149,0.145,0.157,0.184,0.216,0.241,0.258,0.272,0.29,0.308,0.322,0.321,0.302,0.26,0.21,0.17,0.164,0.197,0.255,0.313,0.34,0.32,0.256,0.171,0.093,0.041,0.013,0.003,0.001,0,0,0.001,0.006,0.021,0.055,0.108,0.17,0.222,0.251,0.259,0.261,0.265,0.267,0.254,0.219,0.168,0.118,0.083,0.069,0.071,0.083,0.096,0.111,0.133,0.165,0.201,0.23,0.243,0.239,0.226,0.213,0.206,0.205,0.209,0.214,0.217,0.218,0.218,0.215,0.203,0.182,0.155,0.126,0.097,0.068,0.041,0.02,0.008,0.002,0.001,0.001,0.005,0.018,0.046,0.089,0.135,0.164,0.169,0.153,0.132,0.113,0.103,0.098,0.097,0.097,0.091,0.075,0.052,0.031,0.019,0.024,0.052,0.102,0.164,0.215,0.236,0.224,0.193,0.161,0.142,0.141,0.153,0.173,0.192,0.202,0.196,0.177,0.15,0.121,0.093,0.065,0.041,0.021,0.009,0.003,0.001,0,0,0,0,0.001,0.002,0.01,0.034,0.085,0.166,0.265,0.359,0.425,0.45,0.438,0.395,0.34,0.288,0.259,0.26,0.285,0.315,0.326,0.309,0.269,0.226,0.197,0.19,0.195,0.202,0.204,0.208,0.224,0.253,0.28,0.284,0.25,0.187,0.116,0.061,0.035,0.044,0.087,0.15,0.214,0.256,0.263,0.242,0.206,0.168,0.136,0.115,0.115,0.143,0.192,0.24,0.266,0.257,0.219,0.171,0.127,0.094,0.071,0.062,0.07,0.094,0.127,0.154,0.165,0.161,0.148,0.134,0.122,0.11,0.094,0.074,0.051,0.031,0.016,0.008,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]