[0.005,0.005,0.006,0.006,0.005,0.005,0.007,0.015,0.031,0.057,0.086,0.106,0.108,0.092,0.068,0.046,0.034,0.035,0.046,0.06,0.07,0.073,0.069,0.064,0.059,0.053,0.046,0.036,0.026,0.023,0.031,0.054,0.086,0.117,0.133,0.129,0.108,0.079,0.052,0.032,0.021,0.016,0.015,0.014,0.015,0.019,0.031,0.049,0.068,0.078,0.073,0.057,0.037,0.021,0.011,0.007,0.006,0.007,0.012,0.022,0.041,0.069,0.101,0.128,0.141,0.135,0.113,0.087,0.068,0.062,0.063,0.064,0.059,0.048,0.038,0.032,0.033,0.041,0.052,0.062,0.069,0.073,0.072,0.069,0.062,0.055,0.05,0.05,0.053,0.057,0.059,0.056,0.048,0.042,0.041,0.048,0.059,0.067,0.066,0.058,0.049,0.041,0.033,0.024,0.016,0.01,0.008,0.009,0.015,0.026,0.039,0.051,0.055,0.049,0.038,0.032,0.043,0.074,0.116,0.147,0.153,0.129,0.091,0.055,0.031,0.018,0.015,0.017,0.021,0.023,0.026,0.029,0.035,0.041,0.047,0.049,0.047,0.042,0.032,0.022,0.014,0.012,0.015,0.022,0.032,0.044,0.056,0.07,0.085,0.094,0.093,0.081,0.062,0.044,0.034,0.039,0.056,0.081,0.102,0.114,0.115,0.113,0.116,0.124,0.135,0.143,0.142,0.13,0.107,0.077,0.048,0.027,0.014,0.009,0.007,0.008,0.01,0.014,0.016,0.017,0.016,0.016,0.019,0.024,0.029,0.036,0.046,0.063,0.085,0.107,0.124,0.133,0.135,0.132,0.126,0.121,0.118,0.117,0.114,0.109,0.104,0.103,0.102,0.1,0.093,0.081,0.065,0.047,0.031,0.019,0.014,0.012,0.013,0.015,0.02,0.031,0.046,0.059,0.062,0.054,0.038,0.024,0.017,0.017,0.021,0.026,0.032,0.042,0.058,0.077,0.092,0.097,0.091,0.074,0.052,0.031,0.017,0.01,0.009,0.009,0.009,0.009,0.008,0.006,0.005,0.006,0.009,0.014,0.02,0.024,0.025,0.024,0.027,0.034,0.045,0.053,0.054,0.05,0.045,0.04,0.033,0.024,0.015,0.01,0.01,0.018,0.037,0.061,0.084,0.095,0.09,0.072,0.05,0.031,0.02,0.02,0.028,0.037,0.041,0.039,0.037,0.045,0.065,0.092,0.117,0.134,0.14,0.137,0.123,0.1,0.072,0.045,0.024,0.013,0.01,0.018,0.036,0.063,0.092,0.112,0.116,0.101,0.076,0.048,0.026,0.014,0.012,0.021,0.039,0.065,0.093,0.114,0.124,0.121,0.107,0.09,0.072,0.057,0.044,0.033,0.027,0.028,0.033,0.037,0.039,0.042,0.053,0.071,0.085,0.084,0.066,0.042,0.022,0.012,0.012,0.021,0.036,0.053,0.065,0.07,0.068,0.061,0.056,0.054,0.055,0.053,0.045,0.033,0.02,0.012,0.009,0.012,0.022,0.035,0.049,0.055,0.05,0.037,0.023,0.012,0.008,0.008,0.014,0.024,0.036,0.044,0.044,0.035,0.023,0.013,0.008,0.007,0.012,0.023,0.041,0.06,0.069,0.065,0.049,0.031,0.02,0.021,0.031,0.044,0.049,0.045,0.036,0.031,0.042,0.07,0.103,0.126,0.124,0.098,0.063,0.033,0.015,0.007,0.007,0.013,0.026,0.046,0.065,0.073,0.065,0.045,0.026,0.015,0.014,0.024,0.041,0.057,0.069,0.075,0.078,0.077,0.07,0.057,0.04,0.028,0.025,0.029,0.034,0.034,0.028,0.02,0.014,0.012,0.014,0.02,0.031,0.05,0.075,0.098,0.113,0.119,0.119,0.117,0.114,0.112,0.11,0.107,0.097,0.081,0.059,0.039,0.023,0.013,0.011,0.014,0.024,0.038,0.052,0.057,0.052,0.039,0.026,0.018,0.016,0.016,0.015,0.014,0.014,0.018,0.027,0.04,0.051,0.06,0.064,0.064,0.059,0.049,0.036,0.025,0.022,0.028,0.044,0.067,0.094,0.116,0.127,0.124,0.111,0.096,0.084,0.075,0.064,0.049,0.033,0.023,0.021,0.027,0.034,0.042,0.047,0.048,0.045,0.039,0.032,0.03,0.034,0.043,0.051,0.059,0.068,0.075,0.077,0.073,0.064,0.051,0.038,0.027,0.023,0.032,0.055,0.086,0.116,0.134,0.139,0.136,0.13,0.125,0.118,0.112,0.105,0.098,0.086,0.069,0.049,0.031,0.018,0.011,0.008,0.007,0.007,0.007,0.008,0.011,0.019,0.032,0.047,0.059,0.065,0.066,0.065,0.062,0.054,0.043,0.029,0.017,0.01,0.006,0.005,0.005,0.008,0.016,0.029,0.047,0.062,0.072,0.073,0.067,0.056,0.045,0.036,0.034,0.033,0.032,0.026,0.018,0.011,0.007,0.005,0.005,0.005,0.005,0.006,0.011,0.022,0.037,0.053,0.063,0.061,0.05,0.04,0.038,0.046,0.055,0.057,0.051,0.041,0.035,0.034,0.034,0.033,0.03,0.028,0.03,0.039,0.05,0.059,0.063,0.059,0.048,0.034,0.021,0.013,0.011,0.012,0.015,0.018,0.022,0.028,0.036,0.041,0.041,0.034,0.025,0.017,0.012,0.009,0.008,0.007,0.006,0.006,0.007,0.009,0.012,0.014,0.014,0.013,0.01,0.008,0.007,0.006,0.008,0.012,0.021,0.03,0.036,0.035,0.028,0.019,0.012,0.009,0.008,0.008,0.009,0.012,0.019,0.025,0.029,0.028,0.024,0.019,0.017,0.02,0.031,0.046,0.058,0.061,0.053,0.038,0.023,0.014,0.009,0.008,0.007,0.008,0.01,0.013,0.016,0.019,0.022,0.029,0.039,0.05,0.054,0.049,0.037,0.024,0.015,0.01,0.008,0.008,0.007,0.007,0.009,0.011,0.015,0.019,0.021,0.022,0.021,0.02,0.022,0.029,0.037,0.041,0.039,0.031,0.021,0.013,0.009,0.008,0.007,0.007,0.007,0.008,0.012,0.017,0.022,0.026,0.029,0.031,0.033,0.035,0.035,0.032,0.026,0.019,0.013,0.01,0.008,0.008,0.007,0.008,0.009,0.012,0.017,0.021,0.024,0.026,0.029,0.036,0.044,0.05,0.048,0.039,0.026,0.016,0.01,0.007,0.007,0.006,0.007,0.009,0.012,0.017,0.023,0.028,0.032,0.033,0.031,0.026,0.02,0.015,0.013,0.013,0.012,0.011,0.009,0.008,0.007,0.006,0.007,0.008,0.014,0.026,0.042,0.056,0.06,0.052,0.037,0.024,0.016,0.013,0.012,0.01,0.008,0.007,0.007,0.008,0.011,0.015,0.018,0.022,0.024,0.028,0.035,0.044,0.052,0.053,0.046,0.033,0.02,0.012,0.008,0.006,0.006,0.006,0.006,0.008,0.012,0.018,0.025,0.031,0.036,0.038,0.037,0.033,0.027,0.02,0.015,0.014,0.022,0.043,0.074,0.107,0.129,0.132,0.116,0.087,0.056,0.033,0.026,0.034,0.05,0.067,0.076,0.076,0.069,0.06,0.054,0.052,0.054,0.056,0.054,0.047,0.036,0.026,0.021,0.022,0.027,0.03,0.028,0.022,0.015,0.012,0.016,0.026,0.041,0.054,0.063,0.064,0.058,0.047,0.035,0.023,0.014,0.008,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.006,0.009,0.017,0.032,0.054,0.076,0.093,0.1,0.101,0.101,0.101,0.096,0.083,0.064,0.047,0.036,0.034,0.037,0.041,0.041,0.036,0.028,0.018,0.013,0.014,0.023,0.036,0.05,0.056,0.054,0.043,0.03,0.019,0.014,0.018,0.031,0.051,0.07,0.085,0.092,0.092,0.085,0.073,0.057,0.039,0.025,0.016,0.016,0.023,0.033,0.04,0.041,0.035,0.025,0.016,0.012,0.012,0.015,0.019,0.027,0.042,0.064,0.091,0.115,0.126,0.122,0.102,0.075,0.048,0.029,0.023,0.026,0.033,0.04,0.043,0.042,0.04,0.035,0.029,0.021,0.014,0.009,0.007,0.007,0.01,0.015,0.021,0.026,0.03,0.033,0.035,0.034,0.029,0.021,0.015,0.014,0.019,0.026,0.03,0.029,0.026,0.026,0.03,0.034,0.034,0.029,0.023,0.023,0.032,0.046,0.058,0.066,0.067,0.062,0.053,0.043,0.04,0.053,0.079,0.109,0.13,0.136,0.127,0.109,0.087,0.063,0.042,0.027,0.025,0.036,0.058,0.081,0.098,0.106,0.107,0.105,0.104,0.101,0.096,0.087,0.08,0.075,0.072,0.066,0.055,0.039,0.024,0.014,0.01,0.013,0.026,0.05,0.081,0.109,0.125,0.126,0.115,0.096,0.074,0.052,0.041,0.047,0.07,0.104,0.132,0.145,0.14,0.123,0.102,0.08,0.06,0.046,0.043,0.053,0.07,0.084,0.089,0.082,0.066,0.046,0.027,0.017,0.017,0.03,0.053,0.081,0.102,0.112,0.111,0.104,0.095,0.085,0.072,0.058,0.046,0.036,0.029,0.022,0.015,0.009,0.006,0.006,0.008,0.013,0.021,0.03,0.036,0.038,0.033,0.024,0.016,0.01,0.007,0.008,0.011,0.015,0.02,0.023,0.025,0.024,0.022,0.019,0.015,0.012,0.009,0.007,0.007,0.009,0.014,0.02,0.024,0.024,0.022,0.02,0.022,0.03,0.04,0.051,0.058,0.06,0.058,0.055,0.057,0.061,0.065,0.064,0.057,0.047,0.037,0.028,0.019,0.013,0.008,0.007,0.009,0.014,0.021,0.028,0.031,0.03,0.029,0.03,0.038,0.051,0.063,0.071,0.074,0.075,0.076,0.079,0.08,0.077,0.067,0.054,0.04,0.028,0.019,0.013,0.01,0.008,0.007,0.007,0.006,0.007,0.01,0.02,0.039,0.065,0.088,0.098,0.089,0.068,0.049,0.045,0.059,0.084,0.111,0.129,0.135,0.129,0.116,0.097,0.076,0.054,0.037,0.028,0.028,0.034,0.041,0.044,0.045,0.046,0.048,0.05,0.049,0.045,0.037,0.028,0.021,0.019,0.025,0.037,0.053,0.067,0.076,0.077,0.073,0.066,0.06,0.058,0.057,0.056,0.055,0.056,0.06,0.063,0.062,0.059,0.055,0.053,0.052,0.048,0.042,0.04,0.044,0.054,0.066,0.075,0.08,0.084,0.085,0.083,0.078,0.07,0.06,0.051,0.041,0.031,0.023,0.018,0.016,0.017,0.02,0.022,0.023,0.026,0.032,0.038,0.04,0.037,0.031,0.028,0.032,0.044,0.06,0.074,0.081,0.08,0.074,0.063,0.049,0.035,0.022,0.013,0.007,0.004,0.003,0.002,0.002,0.002,0.002,0.002,0.003,0.004,0.007,0.011,0.014,0.015,0.015,0.015,0.021,0.035,0.053,0.07,0.075,0.065,0.047,0.029,0.018,0.014,0.015,0.015,0.015,0.014,0.014,0.014,0.016,0.018,0.022,0.03,0.045,0.064,0.082,0.092,0.09,0.078,0.062,0.046,0.036,0.033,0.036,0.041,0.043,0.04,0.035,0.032,0.037,0.05,0.066,0.082,0.096,0.105,0.106,0.097,0.08,0.059,0.04,0.026,0.017,0.013,0.013,0.017,0.02,0.025,0.035,0.059,0.099,0.144,0.17,0.168,0.14,0.104,0.074,0.055,0.045,0.039,0.034,0.029,0.027,0.034,0.054,0.08,0.101,0.105,0.091,0.069,0.054,0.051,0.058,0.066,0.067,0.062,0.057,0.057,0.06,0.061,0.056,0.047,0.044,0.053,0.074,0.098,0.115,0.12,0.119,0.118,0.118,0.113,0.098,0.075,0.054,0.044,0.05,0.069,0.09,0.106,0.112,0.111,0.105,0.096,0.082,0.066,0.049,0.041,0.05,0.084,0.136,0.188,0.218,0.218,0.194,0.157,0.119,0.088,0.068,0.061,0.06,0.057,0.047,0.033,0.02,0.013,0.011,0.011,0.011,0.011,0.01,0.009,0.008,0.007,0.008,0.009,0.01,0.01,0.009,0.007,0.007,0.007,0.009,0.01,0.011,0.012,0.011,0.01,0.009,0.009,0.011,0.015,0.02,0.024,0.027,0.026,0.025,0.023,0.022,0.022,0.021,0.021,0.021,0.022,0.022,0.02,0.017,0.016,0.016,0.017,0.019,0.02,0.023,0.027,0.031,0.034,0.037,0.039,0.04,0.039,0.035,0.03,0.025,0.022,0.02,0.017,0.014,0.012,0.011,0.014,0.021,0.036,0.058,0.082,0.098,0.097,0.081,0.057,0.037,0.025,0.022,0.026,0.036,0.049,0.061,0.066,0.064,0.057,0.054,0.063,0.092,0.141,0.204,0.267,0.305,0.3,0.253,0.187,0.131,0.102,0.097,0.099,0.097,0.086,0.072,0.059,0.049,0.045,0.052,0.076,0.111,0.145,0.166,0.171,0.167,0.163,0.156,0.148,0.14,0.137,0.136,0.137,0.137,0.136,0.129,0.115,0.093,0.07,0.053,0.046,0.048,0.058,0.071,0.083,0.089,0.086,0.077,0.066,0.058,0.059,0.07,0.085,0.095,0.101,0.107,0.121,0.142,0.159,0.16,0.145,0.124,0.108,0.1,0.093,0.083,0.068,0.057,0.053,0.055,0.061,0.067,0.074,0.08,0.085,0.086,0.086,0.09,0.1,0.115,0.129,0.138,0.14,0.137,0.128,0.117,0.106,0.098,0.098,0.107,0.119,0.126,0.121,0.105,0.09,0.087,0.101,0.126,0.146,0.153,0.145,0.13,0.115,0.102,0.09,0.086,0.088,0.093,0.096,0.103,0.126,0.172,0.233,0.281,0.294,0.265,0.211,0.157,0.125,0.118,0.131,0.149,0.157,0.15,0.13,0.104,0.083,0.074,0.08,0.108,0.158,0.22,0.27,0.286,0.261,0.211,0.159,0.121,0.102,0.1,0.117,0.148,0.18,0.198,0.2,0.194,0.19,0.187,0.178,0.162,0.142,0.129,0.124,0.128,0.138,0.15,0.16,0.171,0.183,0.195,0.198,0.194,0.197,0.22,0.254,0.272,0.254,0.207,0.16,0.135,0.14,0.172,0.216,0.251,0.259,0.236,0.195,0.159,0.14,0.137,0.147,0.169,0.199,0.232,0.263,0.293,0.322,0.349,0.365,0.36,0.329,0.274,0.209,0.146,0.098,0.073,0.068,0.08,0.104,0.136,0.169,0.194,0.207,0.213,0.221,0.229,0.223,0.2,0.164,0.134,0.122,0.134,0.166,0.21,0.254,0.294,0.32,0.326,0.306,0.263,0.206,0.153,0.113,0.09,0.082,0.084,0.089,0.094,0.098,0.101,0.105,0.115,0.129,0.145,0.156,0.161,0.165,0.176,0.195,0.212,0.218,0.208,0.188,0.165,0.15,0.148,0.164,0.188,0.208,0.211,0.2,0.187,0.182,0.185,0.181,0.166,0.141,0.116,0.096,0.083,0.079,0.081,0.088,0.096,0.103,0.109,0.115,0.12,0.121,0.116,0.104,0.092,0.084,0.087,0.102,0.128,0.158,0.181,0.188,0.178,0.158,0.139,0.125,0.113,0.099,0.082,0.068,0.059,0.058,0.063,0.069,0.075,0.079,0.08,0.081,0.085,0.095,0.112,0.131,0.143,0.143,0.131,0.114,0.097,0.083,0.073,0.068,0.068,0.072,0.079,0.086,0.095,0.108,0.126,0.142,0.148,0.139,0.121,0.101,0.086,0.078,0.081,0.095,0.119,0.142,0.157,0.162,0.161,0.159,0.159,0.166,0.18,0.2,0.219,0.227,0.216,0.189,0.153,0.12,0.098,0.093,0.105,0.13,0.154,0.165,0.16,0.147,0.133,0.12,0.107,0.093,0.082,0.073,0.068,0.064,0.061,0.059,0.059,0.063,0.074,0.092,0.113,0.13,0.138,0.139,0.137,0.136,0.133,0.128,0.118,0.109,0.106,0.112,0.128,0.15,0.172,0.184,0.184,0.178,0.174,0.171,0.162,0.144,0.12,0.096,0.076,0.062,0.054,0.055,0.066,0.089,0.118,0.148,0.171,0.187,0.2,0.214,0.22,0.21,0.18,0.139,0.104,0.084,0.084,0.1,0.136,0.186,0.241,0.282,0.297,0.285,0.262,0.24,0.224,0.207,0.188,0.177,0.181,0.202,0.228,0.254,0.278,0.307,0.335,0.351,0.344,0.311,0.266,0.231,0.226,0.259,0.321,0.39,0.442,0.464,0.452,0.414,0.363,0.316,0.288,0.289,0.304,0.31,0.295,0.263,0.236,0.227,0.24,0.268,0.297,0.314,0.32,0.322,0.33,0.34,0.342,0.329,0.302,0.268,0.233,0.199,0.165,0.132,0.105,0.087,0.08,0.078,0.073,0.062,0.051,0.05,0.063,0.093,0.134,0.176,0.214,0.239,0.252,0.252,0.251,0.259,0.288,0.334,0.389,0.436,0.461,0.454,0.418,0.367,0.321,0.296,0.305,0.348,0.409,0.453,0.451,0.403,0.342,0.311,0.321,0.355,0.381,0.389,0.382,0.378,0.384,0.398,0.408,0.403,0.383,0.35,0.308,0.26,0.218,0.195,0.194,0.204,0.208,0.199,0.186,0.186,0.209,0.253,0.297,0.325,0.34,0.365,0.414,0.476,0.529,0.556,0.556,0.539,0.512,0.48,0.445,0.402,0.346,0.288,0.255,0.268,0.314,0.358,0.372,0.354,0.321,0.288,0.255,0.219,0.18,0.147,0.131,0.14,0.176,0.228,0.282,0.328,0.372,0.419,0.468,0.513,0.547,0.571,0.583,0.577,0.546,0.499,0.453,0.435,0.447,0.469,0.461,0.413,0.34,0.273,0.23,0.208,0.193,0.176,0.158,0.142,0.138,0.155,0.203,0.278,0.355,0.405,0.41,0.38,0.338,0.307,0.288,0.266,0.229,0.174,0.118,0.077,0.056,0.049,0.047,0.045,0.041,0.036,0.033,0.03,0.026,0.023,0.022,0.023,0.024,0.026,0.029,0.037,0.048,0.059,0.067,0.068,0.066,0.069,0.083,0.107,0.126,0.128,0.113,0.101,0.114,0.168,0.249,0.32,0.344,0.312,0.247,0.183,0.148,0.146,0.161,0.172,0.164,0.138,0.107,0.086,0.079,0.081,0.083,0.082,0.081,0.089,0.11,0.137,0.152,0.146,0.124,0.108,0.115,0.146,0.179,0.195,0.192,0.183,0.178,0.177,0.174,0.173,0.18,0.191,0.194,0.178,0.15,0.125,0.112,0.104,0.096,0.086,0.078,0.073,0.071,0.068,0.066,0.066,0.066,0.065,0.061,0.054,0.047,0.041,0.039,0.039,0.042,0.044,0.045,0.042,0.038,0.037,0.041,0.048,0.053,0.052,0.046,0.038,0.032,0.03,0.031,0.034,0.037,0.04,0.042,0.042,0.041,0.039,0.036,0.034,0.031,0.028,0.026,0.023,0.021,0.019,0.017,0.017,0.017,0.018,0.018,0.017,0.016,0.015,0.018,0.026,0.036,0.047,0.054,0.054,0.048,0.042,0.04,0.043,0.052,0.066,0.085,0.11,0.134,0.145,0.138,0.117,0.095,0.081,0.077,0.078,0.081,0.085,0.091,0.099,0.105,0.107,0.103,0.1,0.103,0.11,0.113,0.105,0.086,0.065,0.049,0.044,0.05,0.059,0.064,0.061,0.052,0.043,0.037,0.033,0.029,0.026,0.026,0.031,0.038,0.043,0.043,0.038,0.031,0.024,0.018,0.013,0.009,0.005,0.003,0.003,0.005,0.011,0.02,0.029,0.033,0.03,0.021,0.013,0.008,0.008,0.012,0.018,0.022,0.024,0.023,0.023,0.033,0.062,0.111,0.166,0.202,0.203,0.175,0.142,0.123,0.118,0.111,0.091,0.067,0.054,0.063,0.087,0.108,0.11,0.092,0.068,0.052,0.054,0.07,0.092,0.11,0.116,0.11,0.094,0.075,0.056,0.041,0.03,0.022,0.018,0.018,0.024,0.037,0.052,0.063,0.067,0.069,0.078,0.097,0.117,0.126,0.115,0.091,0.066,0.052,0.052,0.06,0.066,0.066,0.058,0.044,0.029,0.018,0.014,0.015,0.019,0.022,0.023,0.025,0.028,0.032,0.032,0.028,0.023,0.023,0.031,0.045,0.057,0.062,0.059,0.051,0.043,0.043,0.059,0.096,0.143,0.175,0.177,0.15,0.12,0.116,0.147,0.197,0.24,0.25,0.226,0.182,0.135,0.098,0.074,0.062,0.06,0.065,0.074,0.082,0.086,0.085,0.079,0.071,0.063,0.057,0.052,0.052,0.056,0.064,0.071,0.069,0.056,0.036,0.019,0.008,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0.001,0.001,0.001,0.002,0.002,0.003,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0]