[0.002,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.001,0.001,0.002,0.002,0.004,0.005,0.006,0.008,0.012,0.018,0.023,0.026,0.024,0.019,0.013,0.01,0.011,0.015,0.021,0.028,0.032,0.033,0.03,0.025,0.02,0.017,0.017,0.019,0.023,0.025,0.024,0.019,0.014,0.009,0.009,0.012,0.017,0.021,0.023,0.022,0.018,0.012,0.009,0.007,0.008,0.012,0.017,0.023,0.029,0.032,0.031,0.027,0.021,0.016,0.011,0.009,0.008,0.007,0.007,0.008,0.009,0.01,0.009,0.01,0.012,0.017,0.024,0.03,0.034,0.034,0.031,0.027,0.021,0.016,0.014,0.016,0.021,0.026,0.028,0.026,0.021,0.015,0.01,0.008,0.008,0.011,0.013,0.015,0.014,0.013,0.01,0.008,0.006,0.005,0.004,0.003,0.003,0.003,0.004,0.005,0.006,0.007,0.007,0.005,0.004,0.003,0.004,0.005,0.009,0.012,0.014,0.013,0.01,0.007,0.005,0.004,0.004,0.005,0.006,0.008,0.009,0.01,0.01,0.008,0.007,0.005,0.005,0.005,0.007,0.007,0.008,0.009,0.01,0.011,0.012,0.011,0.009,0.007,0.005,0.005,0.006,0.007,0.008,0.009,0.01,0.011,0.013,0.014,0.013,0.011,0.008,0.006,0.004,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.003,0.004,0.005,0.007,0.007,0.008,0.008,0.007,0.007,0.006,0.006,0.007,0.01,0.012,0.013,0.013,0.013,0.015,0.018,0.02,0.02,0.018,0.014,0.01,0.009,0.011,0.015,0.02,0.023,0.023,0.019,0.015,0.012,0.012,0.015,0.02,0.025,0.028,0.03,0.03,0.029,0.026,0.021,0.015,0.009,0.006,0.007,0.011,0.016,0.021,0.023,0.021,0.016,0.011,0.008,0.008,0.009,0.01,0.011,0.01,0.008,0.005,0.004,0.003,0.003,0.005,0.007,0.008,0.009,0.008,0.007,0.005,0.004,0.004,0.004,0.004,0.004,0.005,0.005,0.006,0.006,0.006,0.005,0.004,0.004,0.004,0.004,0.005,0.005,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.005,0.006,0.009,0.011,0.012,0.012,0.011,0.008,0.006,0.006,0.007,0.01,0.014,0.019,0.022,0.022,0.018,0.013,0.008,0.007,0.007,0.009,0.012,0.016,0.021,0.028,0.032,0.033,0.03,0.024,0.017,0.013,0.012,0.012,0.012,0.011,0.011,0.011,0.012,0.012,0.011,0.009,0.008,0.007,0.007,0.007,0.008,0.011,0.013,0.013,0.012,0.011,0.012,0.013,0.015,0.015,0.015,0.013,0.012,0.01,0.009,0.01,0.013,0.016,0.017,0.016,0.015,0.015,0.018,0.021,0.022,0.021,0.019,0.017,0.016,0.016,0.016,0.015,0.014,0.013,0.012,0.012,0.012,0.012,0.013,0.012,0.01,0.007,0.005,0.005,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.004,0.004,0.003,0.003,0.003,0.004,0.004,0.004,0.005,0.005,0.005,0.005,0.004,0.004,0.004,0.005,0.006,0.007,0.01,0.012,0.015,0.019,0.023,0.026,0.026,0.023,0.02,0.017,0.016,0.015,0.014,0.013,0.013,0.012,0.01,0.007,0.005,0.003,0.003,0.003,0.004,0.004,0.003,0.003,0.003,0.003,0.004,0.005,0.007,0.008,0.008,0.008,0.008,0.009,0.01,0.01,0.011,0.014,0.021,0.029,0.037,0.041,0.04,0.035,0.029,0.024,0.021,0.019,0.016,0.013,0.009,0.007,0.007,0.008,0.01,0.012,0.014,0.016,0.018,0.019,0.019,0.017,0.015,0.014,0.014,0.014,0.013,0.011,0.01,0.01,0.011,0.013,0.013,0.013,0.012,0.01,0.008,0.006,0.005,0.004,0.005,0.006,0.007,0.007,0.008,0.011,0.017,0.026,0.035,0.04,0.04,0.035,0.03,0.026,0.023,0.021,0.022,0.026,0.034,0.04,0.043,0.042,0.039,0.037,0.034,0.03,0.024,0.017,0.011,0.009,0.01,0.013,0.017,0.022,0.028,0.035,0.04,0.041,0.038,0.036,0.036,0.04,0.044,0.048,0.052,0.055,0.055,0.052,0.045,0.036,0.027,0.02,0.015,0.012,0.01,0.008,0.006,0.005,0.004,0.004,0.003,0.003,0.003,0.004,0.004,0.005,0.005,0.005,0.005,0.006,0.007,0.008,0.007,0.006,0.006,0.006,0.007,0.008,0.009,0.01,0.011,0.012,0.011,0.009,0.007,0.007,0.008,0.011,0.014,0.016,0.015,0.012,0.009,0.008,0.007,0.006,0.005,0.004,0.004,0.006,0.009,0.013,0.017,0.023,0.03,0.039,0.043,0.039,0.03,0.021,0.014,0.012,0.012,0.012,0.012,0.015,0.02,0.027,0.032,0.034,0.033,0.032,0.033,0.035,0.034,0.03,0.024,0.02,0.02,0.023,0.025,0.024,0.021,0.017,0.015,0.016,0.02,0.024,0.026,0.025,0.022,0.019,0.016,0.012,0.009,0.006,0.007,0.009,0.013,0.017,0.019,0.02,0.019,0.017,0.014,0.01,0.007,0.005,0.004,0.003,0.003,0.003,0.004,0.005,0.008,0.011,0.015,0.016,0.016,0.014,0.013,0.015,0.019,0.025,0.028,0.026,0.022,0.019,0.019,0.023,0.029,0.032,0.032,0.028,0.022,0.016,0.013,0.012,0.012,0.013,0.012,0.011,0.012,0.016,0.026,0.039,0.049,0.053,0.048,0.037,0.027,0.022,0.025,0.033,0.042,0.046,0.043,0.036,0.029,0.028,0.03,0.033,0.031,0.024,0.015,0.009,0.005,0.004,0.004,0.004,0.004,0.004,0.004,0.007,0.013,0.021,0.03,0.034,0.031,0.024,0.018,0.018,0.024,0.038,0.054,0.066,0.067,0.057,0.04,0.024,0.013,0.009,0.009,0.011,0.015,0.022,0.036,0.053,0.068,0.077,0.076,0.068,0.058,0.048,0.041,0.038,0.036,0.035,0.035,0.04,0.048,0.057,0.061,0.059,0.052,0.043,0.033,0.025,0.019,0.016,0.015,0.013,0.012,0.013,0.015,0.017,0.017,0.014,0.012,0.012,0.013,0.014,0.014,0.014,0.016,0.021,0.027,0.031,0.032,0.029,0.025,0.023,0.023,0.022,0.021,0.02,0.02,0.02,0.021,0.021,0.02,0.019,0.018,0.017,0.018,0.018,0.015,0.012,0.008,0.006,0.006,0.006,0.008,0.009,0.01,0.011,0.011,0.011,0.012,0.014,0.016,0.02,0.026,0.033,0.038,0.04,0.039,0.037,0.035,0.032,0.029,0.028,0.028,0.03,0.029,0.025,0.018,0.011,0.007,0.006,0.008,0.012,0.017,0.022,0.026,0.028,0.028,0.026,0.022,0.018,0.014,0.013,0.017,0.023,0.029,0.033,0.033,0.031,0.027,0.024,0.022,0.024,0.028,0.032,0.035,0.036,0.035,0.032,0.028,0.023,0.019,0.019,0.022,0.027,0.033,0.038,0.039,0.037,0.034,0.032,0.032,0.033,0.033,0.032,0.03,0.03,0.034,0.042,0.051,0.056,0.054,0.047,0.038,0.032,0.028,0.024,0.02,0.016,0.014,0.015,0.019,0.023,0.026,0.026,0.025,0.025,0.025,0.026,0.025,0.022,0.018,0.013,0.008,0.006,0.006,0.009,0.015,0.023,0.032,0.037,0.038,0.037,0.036,0.037,0.04,0.041,0.039,0.033,0.024,0.017,0.012,0.01,0.011,0.013,0.015,0.018,0.022,0.027,0.034,0.037,0.038,0.036,0.035,0.035,0.033,0.03,0.03,0.034,0.042,0.051,0.059,0.064,0.064,0.059,0.049,0.038,0.028,0.024,0.024,0.026,0.028,0.026,0.022,0.018,0.016,0.016,0.016,0.014,0.012,0.012,0.014,0.018,0.021,0.022,0.021,0.019,0.016,0.014,0.013,0.013,0.014,0.016,0.018,0.018,0.016,0.012,0.008,0.007,0.008,0.013,0.02,0.029,0.038,0.043,0.043,0.038,0.029,0.02,0.014,0.011,0.011,0.011,0.012,0.014,0.015,0.014,0.013,0.01,0.007,0.005,0.004,0.004,0.004,0.004,0.005,0.006,0.006,0.007,0.007,0.007,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.005,0.005,0.004,0.004,0.004,0.004,0.005,0.005,0.005,0.005,0.006,0.008,0.011,0.015,0.017,0.018,0.022,0.029,0.039,0.044,0.041,0.031,0.02,0.012,0.009,0.011,0.018,0.027,0.033,0.035,0.032,0.026,0.021,0.018,0.017,0.016,0.017,0.021,0.029,0.04,0.05,0.057,0.06,0.057,0.049,0.037,0.028,0.024,0.027,0.031,0.031,0.028,0.022,0.019,0.02,0.023,0.027,0.03,0.03,0.028,0.026,0.025,0.026,0.028,0.03,0.031,0.031,0.032,0.034,0.034,0.032,0.027,0.022,0.021,0.026,0.037,0.049,0.056,0.057,0.055,0.051,0.047,0.044,0.04,0.035,0.032,0.033,0.037,0.041,0.045,0.045,0.045,0.043,0.04,0.037,0.035,0.036,0.035,0.032,0.027,0.026,0.03,0.035,0.039,0.04,0.04,0.043,0.051,0.062,0.07,0.069,0.06,0.048,0.04,0.039,0.038,0.035,0.03,0.026,0.025,0.025,0.023,0.018,0.014,0.012,0.012,0.013,0.015,0.017,0.02,0.022,0.025,0.029,0.036,0.041,0.044,0.042,0.036,0.028,0.019,0.013,0.009,0.007,0.007,0.009,0.013,0.019,0.025,0.027,0.024,0.017,0.012,0.01,0.012,0.016,0.02,0.021,0.022,0.024,0.027,0.031,0.036,0.044,0.051,0.055,0.051,0.042,0.031,0.024,0.023,0.025,0.025,0.023,0.018,0.013,0.01,0.01,0.013,0.02,0.027,0.032,0.032,0.029,0.024,0.021,0.02,0.019,0.018,0.017,0.018,0.023,0.032,0.044,0.054,0.059,0.055,0.046,0.034,0.025,0.018,0.014,0.012,0.014,0.017,0.022,0.027,0.031,0.03,0.026,0.02,0.016,0.017,0.02,0.023,0.024,0.023,0.023,0.024,0.024,0.022,0.018,0.014,0.014,0.016,0.017,0.017,0.017,0.019,0.023,0.025,0.024,0.02,0.016,0.015,0.016,0.018,0.018,0.016,0.012,0.009,0.007,0.007,0.012,0.02,0.03,0.037,0.038,0.036,0.031,0.027,0.023,0.019,0.015,0.012,0.009,0.007,0.007,0.008,0.011,0.016,0.021,0.025,0.027,0.026,0.024,0.021,0.02,0.022,0.025,0.027,0.031,0.038,0.046,0.05,0.047,0.037,0.029,0.032,0.045,0.063,0.074,0.072,0.059,0.044,0.035,0.033,0.038,0.048,0.057,0.061,0.058,0.05,0.042,0.036,0.034,0.035,0.035,0.033,0.029,0.025,0.023,0.023,0.027,0.032,0.04,0.046,0.05,0.048,0.041,0.032,0.024,0.021,0.021,0.024,0.027,0.026,0.022,0.017,0.014,0.014,0.016,0.018,0.02,0.024,0.032,0.044,0.058,0.071,0.079,0.079,0.071,0.057,0.043,0.033,0.027,0.027,0.03,0.036,0.043,0.049,0.051,0.046,0.035,0.023,0.014,0.011,0.014,0.019,0.024,0.026,0.027,0.029,0.032,0.034,0.033,0.03,0.031,0.038,0.051,0.066,0.078,0.086,0.087,0.083,0.076,0.068,0.061,0.056,0.052,0.049,0.047,0.044,0.038,0.032,0.027,0.023,0.022,0.024,0.03,0.039,0.048,0.053,0.053,0.049,0.043,0.039,0.037,0.037,0.036,0.031,0.026,0.021,0.019,0.018,0.017,0.016,0.016,0.019,0.025,0.032,0.041,0.051,0.059,0.067,0.081,0.108,0.144,0.175,0.185,0.176,0.164,0.166,0.175,0.178,0.161,0.134,0.113,0.109,0.118,0.129,0.131,0.126,0.119,0.116,0.118,0.119,0.114,0.1,0.086,0.078,0.077,0.078,0.072,0.058,0.04,0.026,0.024,0.035,0.056,0.08,0.099,0.109,0.112,0.112,0.11,0.107,0.108,0.119,0.137,0.155,0.161,0.154,0.134,0.11,0.088,0.076,0.076,0.082,0.088,0.089,0.086,0.083,0.085,0.093,0.103,0.109,0.105,0.094,0.08,0.074,0.081,0.097,0.111,0.113,0.105,0.092,0.085,0.083,0.082,0.079,0.073,0.065,0.059,0.059,0.066,0.079,0.095,0.108,0.114,0.113,0.106,0.097,0.09,0.089,0.095,0.108,0.123,0.138,0.148,0.152,0.15,0.142,0.131,0.116,0.104,0.098,0.102,0.11,0.116,0.115,0.107,0.097,0.089,0.082,0.08,0.082,0.094,0.11,0.125,0.134,0.134,0.124,0.107,0.089,0.077,0.073,0.076,0.083,0.089,0.09,0.085,0.075,0.063,0.056,0.055,0.058,0.062,0.064,0.067,0.071,0.075,0.078,0.08,0.081,0.082,0.078,0.071,0.06,0.047,0.036,0.029,0.026,0.025,0.025,0.026,0.03,0.037,0.047,0.055,0.06,0.06,0.053,0.042,0.029,0.019,0.012,0.008,0.006,0.005,0.004,0.003,0.003,0.003,0.003,0.002,0.003,0.004,0.005,0.007,0.007,0.007,0.009,0.018,0.041,0.078,0.117,0.141,0.14,0.116,0.081,0.05,0.031,0.03,0.05,0.087,0.129,0.16,0.169,0.157,0.13,0.099,0.068,0.043,0.025,0.016,0.013,0.013,0.016,0.021,0.031,0.047,0.065,0.08,0.085,0.079,0.067,0.059,0.06,0.067,0.075,0.078,0.073,0.063,0.051,0.042,0.038,0.036,0.034,0.031,0.028,0.028,0.034,0.05,0.076,0.107,0.136,0.155,0.16,0.152,0.133,0.109,0.087,0.072,0.068,0.074,0.083,0.09,0.093,0.091,0.085,0.073,0.062,0.058,0.068,0.093,0.126,0.153,0.166,0.163,0.155,0.148,0.146,0.138,0.12,0.09,0.059,0.035,0.023,0.023,0.033,0.051,0.071,0.089,0.1,0.104,0.103,0.102,0.102,0.102,0.096,0.083,0.065,0.049,0.042,0.044,0.055,0.073,0.092,0.105,0.103,0.088,0.069,0.057,0.056,0.065,0.077,0.088,0.096,0.1,0.095,0.083,0.067,0.055,0.048,0.045,0.042,0.039,0.036,0.038,0.044,0.054,0.065,0.073,0.078,0.082,0.088,0.097,0.104,0.106,0.102,0.096,0.09,0.084,0.075,0.06,0.048,0.051,0.086,0.15,0.224,0.274,0.284,0.259,0.224,0.192,0.169,0.157,0.156,0.164,0.173,0.178,0.175,0.173,0.178,0.191,0.198,0.192,0.173,0.156,0.149,0.155,0.17,0.188,0.203,0.206,0.192,0.158,0.114,0.075,0.056,0.063,0.089,0.118,0.138,0.145,0.146,0.144,0.138,0.123,0.103,0.085,0.08,0.093,0.12,0.149,0.167,0.167,0.152,0.133,0.122,0.121,0.126,0.126,0.115,0.096,0.078,0.073,0.082,0.102,0.122,0.133,0.131,0.121,0.109,0.101,0.1,0.105,0.115,0.122,0.121,0.11,0.091,0.072,0.058,0.053,0.055,0.062,0.07,0.076,0.081,0.088,0.1,0.113,0.121,0.119,0.109,0.1,0.099,0.11,0.125,0.135,0.134,0.126,0.12,0.126,0.143,0.164,0.178,0.177,0.162,0.14,0.114,0.093,0.084,0.09,0.111,0.138,0.159,0.168,0.165,0.152,0.133,0.114,0.1,0.095,0.1,0.113,0.127,0.135,0.132,0.119,0.101,0.085,0.079,0.082,0.089,0.095,0.097,0.097,0.096,0.093,0.087,0.078,0.072,0.072,0.082,0.1,0.117,0.122,0.113,0.091,0.071,0.06,0.061,0.07,0.082,0.093,0.1,0.104,0.108,0.112,0.121,0.139,0.166,0.194,0.215,0.221,0.214,0.199,0.179,0.16,0.152,0.16,0.181,0.2,0.204,0.189,0.166,0.153,0.154,0.161,0.159,0.142,0.117,0.097,0.087,0.088,0.095,0.102,0.103,0.1,0.097,0.101,0.111,0.121,0.127,0.129,0.131,0.133,0.132,0.124,0.109,0.091,0.079,0.083,0.105,0.139,0.169,0.178,0.164,0.134,0.105,0.088,0.092,0.117,0.16,0.209,0.257,0.295,0.32,0.323,0.309,0.283,0.262,0.244,0.224,0.196,0.168,0.152,0.154,0.173,0.197,0.215,0.218,0.205,0.184,0.162,0.145,0.131,0.118,0.105,0.098,0.1,0.112,0.125,0.132,0.131,0.134,0.148,0.175,0.204,0.219,0.21,0.181,0.146,0.117,0.102,0.1,0.106,0.115,0.122,0.125,0.124,0.121,0.116,0.111,0.106,0.103,0.102,0.103,0.102,0.097,0.088,0.081,0.078,0.083,0.09,0.094,0.092,0.086,0.079,0.075,0.07,0.064,0.058,0.057,0.063,0.072,0.08,0.083,0.081,0.076,0.071,0.067,0.067,0.072,0.079,0.087,0.092,0.095,0.099,0.102,0.108,0.116,0.127,0.139,0.148,0.15,0.145,0.139,0.132,0.123,0.108,0.086,0.068,0.065,0.081,0.111,0.139,0.15,0.14,0.116,0.094,0.082,0.087,0.101,0.117,0.126,0.128,0.126,0.127,0.133,0.143,0.151,0.153,0.149,0.146,0.144,0.144,0.137,0.123,0.107,0.1,0.101,0.106,0.11,0.111,0.112,0.115,0.127,0.147,0.174,0.197,0.216,0.231,0.256,0.283,0.301,0.289,0.25,0.2,0.164,0.148,0.147,0.149,0.147,0.147,0.15,0.155,0.156,0.151,0.142,0.135,0.136,0.146,0.164,0.181,0.192,0.19,0.177,0.157,0.139,0.129,0.131,0.146,0.166,0.187,0.208,0.234,0.262,0.287,0.297,0.289,0.265,0.233,0.201,0.176,0.161,0.159,0.172,0.198,0.232,0.259,0.269,0.261,0.246,0.237,0.235,0.237,0.235,0.233,0.236,0.248,0.261,0.27,0.273,0.273,0.272,0.272,0.27,0.266,0.257,0.246,0.241,0.249,0.271,0.295,0.302,0.283,0.248,0.217,0.205,0.21,0.222,0.231,0.231,0.22,0.198,0.167,0.134,0.108,0.094,0.092,0.102,0.119,0.137,0.144,0.136,0.117,0.093,0.074,0.063,0.063,0.076,0.096,0.114,0.119,0.113,0.104,0.107,0.122,0.141,0.148,0.136,0.109,0.078,0.055,0.043,0.039,0.038,0.035,0.031,0.025,0.022,0.023,0.031,0.045,0.062,0.076,0.086,0.096,0.114,0.141,0.169,0.184,0.178,0.161,0.151,0.159,0.174,0.182,0.173,0.154,0.135,0.125,0.124,0.127,0.131,0.135,0.14,0.146,0.146,0.134,0.112,0.087,0.075,0.081,0.103,0.133,0.156,0.165,0.159,0.145,0.134,0.131,0.129,0.124,0.119,0.126,0.149,0.182,0.209,0.22,0.215,0.202,0.185,0.168,0.152,0.138,0.133,0.142,0.164,0.189,0.204,0.199,0.178,0.153,0.135,0.124,0.115,0.104,0.095,0.094,0.103,0.12,0.134,0.138,0.129,0.114,0.102,0.1,0.108,0.124,0.149,0.176,0.195,0.191,0.164,0.123,0.084,0.056,0.042,0.039,0.048,0.069,0.102,0.135,0.158,0.164,0.153,0.134,0.115,0.103,0.097,0.094,0.09,0.087,0.087,0.094,0.102,0.107,0.107,0.105,0.11,0.12,0.131,0.136,0.133,0.129,0.129,0.135,0.143,0.147,0.143,0.131,0.114,0.1,0.093,0.1,0.128,0.182,0.257,0.332,0.381,0.387,0.354,0.3,0.245,0.204,0.181,0.176,0.185,0.2,0.21,0.209,0.201,0.193,0.191,0.192,0.191,0.182,0.169,0.16,0.161,0.172,0.188,0.201,0.21,0.223,0.243,0.274,0.308,0.338,0.354,0.35,0.328,0.301,0.28,0.265,0.252,0.244,0.249,0.273,0.3,0.31,0.287,0.244,0.197,0.167,0.154,0.154,0.155,0.155,0.152,0.15,0.152,0.16,0.171,0.182,0.183,0.173,0.155,0.136,0.125,0.123,0.126,0.125,0.119,0.108,0.097,0.089,0.086,0.087,0.091,0.091,0.084,0.074,0.07,0.08,0.097,0.109,0.105,0.086,0.061,0.04,0.028,0.027,0.033,0.043,0.052,0.057,0.057,0.052,0.045,0.043,0.047,0.057,0.068,0.075,0.078,0.079,0.079,0.077,0.073,0.067,0.06,0.057,0.057,0.059,0.062,0.064,0.065,0.062,0.058,0.053,0.055,0.065,0.079,0.086,0.081,0.067,0.054,0.05,0.055,0.065,0.078,0.094,0.112,0.124,0.121,0.1,0.07,0.042,0.023,0.015,0.013,0.014,0.014,0.014,0.015,0.019,0.029,0.042,0.054,0.058,0.052,0.039,0.028,0.023,0.026,0.034,0.043,0.047,0.046,0.043,0.037,0.029,0.022,0.017,0.015,0.015,0.018,0.021,0.023,0.023,0.021,0.02,0.021,0.025,0.028,0.028,0.024,0.018,0.013,0.009,0.008,0.011,0.016,0.022,0.027,0.027,0.022,0.014,0.008,0.005,0.003,0.003]