[0.001,0.001,0.001,0.003,0.01,0.027,0.053,0.079,0.093,0.092,0.08,0.073,0.071,0.069,0.059,0.042,0.024,0.012,0.007,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.008,0.014,0.022,0.03,0.033,0.03,0.021,0.013,0.007,0.005,0.004,0.004,0.004,0.004,0.004,0.005,0.005,0.006,0.006,0.006,0.009,0.02,0.043,0.074,0.102,0.113,0.105,0.086,0.067,0.05,0.036,0.023,0.013,0.008,0.006,0.007,0.012,0.021,0.035,0.05,0.059,0.059,0.049,0.034,0.021,0.012,0.008,0.006,0.006,0.006,0.006,0.008,0.014,0.032,0.061,0.095,0.118,0.117,0.094,0.063,0.038,0.024,0.017,0.013,0.009,0.007,0.005,0.004,0.006,0.015,0.044,0.098,0.172,0.238,0.266,0.248,0.202,0.153,0.113,0.081,0.053,0.032,0.02,0.019,0.029,0.05,0.075,0.092,0.091,0.072,0.046,0.024,0.012,0.007,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.007,0.009,0.011,0.016,0.026,0.041,0.059,0.073,0.074,0.062,0.042,0.025,0.014,0.008,0.006,0.007,0.009,0.014,0.02,0.025,0.028,0.033,0.046,0.066,0.087,0.093,0.083,0.063,0.053,0.058,0.073,0.086,0.088,0.077,0.059,0.041,0.026,0.016,0.01,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.009,0.02,0.042,0.075,0.113,0.146,0.169,0.176,0.163,0.13,0.086,0.046,0.021,0.016,0.027,0.05,0.077,0.099,0.112,0.114,0.109,0.096,0.074,0.049,0.027,0.013,0.008,0.006,0.007,0.014,0.031,0.061,0.092,0.11,0.103,0.077,0.046,0.026,0.02,0.023,0.029,0.031,0.029,0.024,0.018,0.013,0.01,0.008,0.009,0.011,0.018,0.032,0.056,0.086,0.108,0.112,0.099,0.088,0.095,0.115,0.13,0.123,0.094,0.059,0.031,0.016,0.01,0.008,0.009,0.012,0.02,0.03,0.037,0.039,0.037,0.037,0.045,0.058,0.068,0.066,0.052,0.035,0.022,0.015,0.012,0.011,0.01,0.009,0.008,0.008,0.009,0.009,0.008,0.008,0.007,0.007,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.006,0.007,0.01,0.018,0.039,0.079,0.135,0.19,0.221,0.216,0.184,0.145,0.113,0.091,0.073,0.054,0.035,0.021,0.011,0.007,0.005,0.005,0.005,0.007,0.011,0.017,0.024,0.027,0.024,0.018,0.011,0.007,0.007,0.011,0.023,0.046,0.081,0.118,0.145,0.147,0.126,0.093,0.07,0.069,0.084,0.096,0.092,0.072,0.045,0.024,0.012,0.007,0.006,0.005,0.005,0.006,0.007,0.009,0.012,0.014,0.015,0.013,0.01,0.008,0.008,0.014,0.031,0.057,0.083,0.094,0.085,0.06,0.037,0.022,0.019,0.022,0.025,0.026,0.023,0.018,0.014,0.011,0.01,0.01,0.009,0.01,0.01,0.012,0.014,0.016,0.016,0.015,0.013,0.011,0.01,0.008,0.008,0.007,0.007,0.008,0.01,0.013,0.015,0.017,0.018,0.017,0.015,0.014,0.012,0.011,0.01,0.01,0.01,0.01,0.01,0.011,0.013,0.017,0.022,0.027,0.03,0.028,0.024,0.023,0.032,0.055,0.085,0.11,0.119,0.108,0.085,0.062,0.044,0.037,0.043,0.067,0.102,0.136,0.147,0.128,0.089,0.05,0.024,0.013,0.009,0.009,0.012,0.021,0.044,0.08,0.118,0.139,0.131,0.103,0.081,0.084,0.108,0.129,0.127,0.1,0.062,0.031,0.014,0.008,0.007,0.007,0.007,0.006,0.005,0.005,0.005,0.005,0.007,0.015,0.033,0.062,0.097,0.122,0.126,0.106,0.073,0.042,0.02,0.01,0.006,0.006,0.007,0.012,0.019,0.027,0.033,0.04,0.052,0.071,0.091,0.099,0.091,0.068,0.043,0.024,0.014,0.009,0.008,0.011,0.02,0.034,0.047,0.052,0.047,0.033,0.019,0.01,0.007,0.007,0.009,0.009,0.009,0.009,0.008,0.007,0.007,0.007,0.007,0.007,0.008,0.01,0.016,0.028,0.046,0.064,0.074,0.072,0.058,0.039,0.023,0.013,0.008,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.008,0.016,0.029,0.044,0.054,0.055,0.046,0.032,0.02,0.013,0.009,0.008,0.01,0.02,0.045,0.086,0.136,0.177,0.194,0.18,0.144,0.1,0.065,0.049,0.056,0.08,0.111,0.134,0.139,0.123,0.093,0.061,0.036,0.021,0.014,0.012,0.011,0.012,0.015,0.023,0.043,0.074,0.11,0.135,0.138,0.121,0.102,0.098,0.121,0.16,0.2,0.228,0.241,0.24,0.222,0.183,0.129,0.076,0.037,0.017,0.008,0.005,0.005,0.005,0.005,0.007,0.011,0.02,0.041,0.076,0.124,0.171,0.202,0.207,0.198,0.188,0.187,0.188,0.18,0.154,0.116,0.075,0.043,0.022,0.013,0.009,0.008,0.009,0.011,0.016,0.022,0.031,0.046,0.065,0.085,0.096,0.091,0.072,0.055,0.05,0.055,0.06,0.056,0.043,0.028,0.018,0.013,0.012,0.012,0.011,0.01,0.009,0.008,0.008,0.01,0.014,0.02,0.028,0.032,0.036,0.045,0.069,0.11,0.152,0.174,0.161,0.12,0.074,0.047,0.054,0.094,0.147,0.183,0.179,0.139,0.09,0.062,0.07,0.106,0.146,0.169,0.16,0.126,0.081,0.044,0.022,0.013,0.01,0.01,0.011,0.011,0.012,0.013,0.014,0.015,0.016,0.019,0.022,0.023,0.023,0.022,0.023,0.031,0.047,0.066,0.081,0.082,0.067,0.046,0.027,0.015,0.011,0.012,0.014,0.018,0.021,0.023,0.027,0.034,0.042,0.05,0.055,0.059,0.063,0.066,0.063,0.053,0.038,0.024,0.014,0.009,0.008,0.008,0.008,0.007,0.007,0.008,0.009,0.014,0.024,0.038,0.051,0.059,0.057,0.046,0.031,0.018,0.011,0.007,0.006,0.008,0.015,0.033,0.06,0.087,0.098,0.087,0.061,0.034,0.016,0.01,0.013,0.022,0.032,0.037,0.035,0.027,0.017,0.009,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.006,0.006,0.007,0.008,0.011,0.014,0.016,0.016,0.014,0.011,0.009,0.007,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.008,0.017,0.033,0.053,0.069,0.073,0.062,0.042,0.024,0.012,0.006,0.005,0.005,0.005,0.006,0.014,0.034,0.074,0.126,0.17,0.185,0.161,0.112,0.063,0.03,0.013,0.007,0.006,0.005,0.005,0.005,0.005,0.005,0.006,0.007,0.011,0.022,0.042,0.072,0.109,0.145,0.167,0.165,0.139,0.1,0.064,0.039,0.029,0.031,0.039,0.05,0.055,0.051,0.039,0.025,0.015,0.01,0.007,0.006,0.006,0.005,0.006,0.012,0.03,0.06,0.095,0.121,0.13,0.123,0.115,0.11,0.105,0.091,0.069,0.043,0.023,0.011,0.007,0.006,0.009,0.016,0.028,0.04,0.045,0.042,0.032,0.02,0.012,0.009,0.009,0.011,0.017,0.024,0.031,0.035,0.033,0.028,0.02,0.015,0.011,0.01,0.008,0.007,0.006,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.007,0.01,0.012,0.014,0.015,0.014,0.013,0.013,0.013,0.015,0.017,0.019,0.02,0.021,0.02,0.02,0.021,0.022,0.024,0.025,0.026,0.026,0.026,0.025,0.024,0.023,0.028,0.046,0.081,0.126,0.165,0.182,0.175,0.15,0.12,0.089,0.059,0.035,0.019,0.012,0.009,0.01,0.011,0.013,0.013,0.013,0.011,0.01,0.009,0.008,0.008,0.008,0.008,0.008,0.011,0.021,0.044,0.08,0.123,0.168,0.219,0.282,0.35,0.392,0.381,0.313,0.218,0.13,0.071,0.038,0.022,0.014,0.01,0.008,0.01,0.018,0.032,0.052,0.071,0.082,0.079,0.065,0.046,0.034,0.033,0.042,0.05,0.051,0.048,0.051,0.064,0.082,0.089,0.081,0.064,0.058,0.074,0.113,0.163,0.212,0.248,0.272,0.288,0.299,0.296,0.274,0.231,0.183,0.145,0.122,0.109,0.097,0.082,0.062,0.042,0.025,0.014,0.009,0.007,0.007,0.007,0.009,0.017,0.038,0.076,0.12,0.151,0.153,0.124,0.084,0.049,0.027,0.017,0.012,0.009,0.008,0.008,0.008,0.008,0.008,0.009,0.01,0.011,0.011,0.011,0.012,0.013,0.014,0.015,0.017,0.017,0.018,0.018,0.017,0.019,0.028,0.049,0.079,0.107,0.118,0.11,0.09,0.069,0.056,0.05,0.046,0.045,0.049,0.058,0.071,0.081,0.083,0.076,0.063,0.05,0.039,0.032,0.028,0.026,0.026,0.026,0.026,0.026,0.026,0.025,0.025,0.023,0.021,0.02,0.02,0.021,0.024,0.027,0.029,0.029,0.026,0.027,0.036,0.055,0.078,0.097,0.108,0.115,0.123,0.128,0.125,0.11,0.088,0.065,0.048,0.04,0.04,0.045,0.053,0.057,0.055,0.048,0.042,0.041,0.053,0.079,0.116,0.151,0.165,0.15,0.113,0.074,0.045,0.032,0.03,0.037,0.049,0.061,0.064,0.057,0.043,0.03,0.024,0.024,0.027,0.032,0.035,0.038,0.038,0.038,0.043,0.055,0.075,0.095,0.109,0.112,0.107,0.095,0.081,0.065,0.048,0.032,0.019,0.011,0.007,0.006,0.006,0.007,0.009,0.013,0.017,0.019,0.02,0.019,0.017,0.017,0.02,0.025,0.029,0.03,0.027,0.024,0.024,0.031,0.045,0.062,0.073,0.072,0.06,0.043,0.027,0.017,0.015,0.021,0.033,0.048,0.06,0.069,0.078,0.087,0.094,0.094,0.087,0.073,0.057,0.041,0.026,0.015,0.009,0.007,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.007,0.012,0.022,0.034,0.045,0.048,0.042,0.031,0.019,0.012,0.008,0.007,0.007,0.007,0.007,0.007,0.007,0.007,0.006,0.006,0.006,0.005,0.005,0.005,0.007,0.014,0.029,0.051,0.072,0.083,0.084,0.078,0.075,0.077,0.079,0.074,0.06,0.042,0.026,0.014,0.009,0.007,0.007,0.007,0.007,0.008,0.007,0.007,0.007,0.008,0.009,0.009,0.01,0.009,0.008,0.008,0.008,0.011,0.023,0.043,0.066,0.082,0.082,0.065,0.043,0.028,0.027,0.037,0.05,0.055,0.05,0.035,0.021,0.012,0.011,0.014,0.02,0.028,0.036,0.048,0.06,0.072,0.079,0.079,0.073,0.061,0.045,0.029,0.017,0.01,0.008,0.01,0.018,0.032,0.051,0.066,0.069,0.058,0.04,0.023,0.012,0.007,0.005,0.006,0.009,0.015,0.025,0.039,0.054,0.066,0.069,0.062,0.048,0.033,0.023,0.017,0.014,0.014,0.016,0.019,0.023,0.026,0.027,0.026,0.025,0.024,0.024,0.024,0.026,0.034,0.054,0.086,0.121,0.145,0.147,0.127,0.094,0.063,0.045,0.044,0.057,0.074,0.082,0.077,0.058,0.038,0.023,0.014,0.01,0.008,0.007,0.008,0.009,0.01,0.013,0.016,0.021,0.027,0.031,0.032,0.029,0.024,0.018,0.014,0.014,0.02,0.032,0.047,0.06,0.066,0.064,0.059,0.055,0.051,0.045,0.037,0.03,0.024,0.019,0.017,0.019,0.032,0.057,0.09,0.117,0.131,0.13,0.121,0.108,0.093,0.075,0.058,0.046,0.04,0.038,0.035,0.03,0.023,0.017,0.013,0.014,0.018,0.023,0.028,0.03,0.028,0.024,0.02,0.016,0.016,0.022,0.037,0.061,0.09,0.117,0.141,0.162,0.181,0.193,0.186,0.156,0.114,0.073,0.045,0.03,0.024,0.021,0.019,0.017,0.016,0.014,0.013,0.013,0.013,0.015,0.016,0.018,0.019,0.019,0.019,0.018,0.017,0.019,0.028,0.043,0.061,0.072,0.071,0.062,0.061,0.076,0.106,0.135,0.148,0.142,0.131,0.133,0.159,0.194,0.218,0.213,0.183,0.141,0.101,0.069,0.047,0.032,0.021,0.015,0.01,0.008,0.007,0.006,0.006,0.007,0.01,0.016,0.026,0.036,0.041,0.04,0.037,0.039,0.049,0.066,0.087,0.107,0.119,0.113,0.09,0.058,0.032,0.018,0.02,0.035,0.057,0.077,0.086,0.081,0.066,0.051,0.038,0.03,0.022,0.016,0.012,0.01,0.009,0.009,0.009,0.009,0.009,0.01,0.013,0.019,0.03,0.048,0.07,0.089,0.097,0.09,0.071,0.052,0.037,0.028,0.022,0.016,0.012,0.008,0.007,0.006,0.007,0.012,0.023,0.039,0.059,0.077,0.091,0.099,0.099,0.09,0.074,0.057,0.042,0.032,0.026,0.021,0.019,0.017,0.017,0.017,0.017,0.016,0.016,0.015,0.015,0.015,0.014,0.014,0.014,0.014,0.015,0.019,0.029,0.046,0.066,0.079,0.078,0.063,0.045,0.03,0.022,0.02,0.02,0.02,0.02,0.023,0.032,0.051,0.08,0.114,0.145,0.163,0.166,0.155,0.135,0.112,0.089,0.066,0.045,0.028,0.016,0.01,0.009,0.011,0.017,0.028,0.04,0.049,0.05,0.045,0.036,0.027,0.02,0.017,0.015,0.015,0.016,0.018,0.019,0.019,0.019,0.018,0.017,0.016,0.015,0.014,0.013,0.013,0.013,0.012,0.012,0.012,0.012,0.011,0.01,0.009,0.009,0.009,0.009,0.009,0.009,0.009,0.008,0.008,0.008,0.007,0.007,0.007,0.007,0.007,0.007,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.006,0.007,0.008,0.008,0.009,0.01,0.011,0.011,0.01,0.009,0.009,0.009,0.008,0.008,0.008,0.008,0.008,0.008,0.009,0.009,0.01,0.012,0.013,0.014,0.014,0.013,0.012,0.011,0.011,0.01,0.011,0.011,0.012,0.013,0.015,0.016,0.016,0.014,0.012,0.011,0.01,0.01,0.009,0.009,0.008,0.008,0.007,0.007,0.007,0.008,0.008,0.01,0.011,0.012,0.012,0.012,0.012,0.012,0.013,0.013,0.014,0.014,0.014,0.013,0.013,0.012,0.013,0.017,0.027,0.043,0.06,0.07,0.067,0.054,0.039,0.029,0.024,0.023,0.021,0.019,0.018,0.017,0.018,0.019,0.018,0.016,0.014,0.012,0.011,0.013,0.019,0.029,0.041,0.052,0.06,0.062,0.06,0.054,0.045,0.033,0.024,0.019,0.017,0.016,0.016,0.015,0.014,0.012,0.012,0.013,0.019,0.035,0.064,0.102,0.136,0.151,0.14,0.11,0.074,0.046,0.029,0.023,0.023,0.029,0.042,0.059,0.074,0.077,0.067,0.049,0.03,0.018,0.012,0.009,0.008,0.008,0.009,0.012,0.017,0.022,0.025,0.025,0.025,0.032,0.056,0.097,0.147,0.185,0.198,0.18,0.144,0.101,0.067,0.043,0.03,0.023,0.019,0.018,0.017,0.02,0.029,0.052,0.091,0.143,0.189,0.212,0.201,0.161,0.111,0.069,0.041,0.025,0.017,0.013,0.01,0.009,0.009,0.009,0.009,0.01,0.011,0.013,0.015,0.016,0.016,0.016,0.016,0.017,0.02,0.023,0.027,0.031,0.032,0.03,0.027,0.022,0.018,0.015,0.013,0.011,0.011,0.013,0.019,0.031,0.044,0.055,0.06,0.056,0.048,0.04,0.034,0.029,0.025,0.021,0.017,0.014,0.012,0.011,0.011,0.01,0.01,0.009,0.009,0.009,0.009,0.009,0.01,0.011,0.012,0.012,0.011,0.01,0.009,0.009,0.009,0.01,0.01,0.01,0.011,0.011,0.012,0.013,0.014,0.014,0.013,0.013,0.013,0.013,0.013,0.013,0.013,0.012,0.013,0.013,0.013,0.013,0.013,0.013,0.014,0.014,0.014,0.013,0.012,0.012,0.011,0.012,0.012,0.013,0.013,0.013,0.013,0.013,0.013,0.013,0.014,0.013,0.013,0.013,0.013,0.013,0.012,0.012,0.012,0.011,0.01,0.01,0.011,0.012,0.013,0.014,0.014,0.012,0.011,0.011,0.011,0.013,0.014,0.015,0.015,0.015,0.016,0.019,0.025,0.031,0.034,0.034,0.03,0.024,0.02,0.017,0.016,0.017,0.019,0.023,0.03,0.04,0.052,0.066,0.082,0.098,0.112,0.122,0.125,0.12,0.106,0.086,0.065,0.047,0.034,0.027,0.024,0.022,0.022,0.022,0.023,0.023,0.024,0.025,0.028,0.033,0.039,0.046,0.053,0.056,0.056,0.053,0.047,0.042,0.039,0.037,0.036,0.036,0.037,0.039,0.04,0.042,0.043,0.049,0.059,0.076,0.093,0.106,0.111,0.107,0.097,0.084,0.07,0.059,0.053,0.054,0.062,0.075,0.094,0.114,0.134,0.15,0.163,0.169,0.167,0.156,0.14,0.124,0.116,0.125,0.153,0.197,0.241,0.268,0.267,0.243,0.207,0.176,0.154,0.14,0.127,0.11,0.086,0.061,0.04,0.029,0.032,0.051,0.087,0.135,0.185,0.221,0.234,0.222,0.197,0.167,0.137,0.112,0.092,0.08,0.073,0.069,0.067,0.066,0.067,0.068,0.069,0.067,0.064,0.059,0.056,0.056,0.061,0.069,0.078,0.081,0.078,0.069,0.061,0.059,0.062,0.068,0.072,0.07,0.064,0.058,0.057,0.064,0.073,0.082,0.087,0.085,0.077,0.067,0.056,0.047,0.039,0.031,0.025,0.021,0.021,0.023,0.026,0.032,0.038,0.042,0.043,0.039,0.033,0.03,0.029,0.035,0.049,0.073,0.103,0.131,0.15,0.159,0.162,0.161,0.156,0.144,0.124,0.099,0.078,0.071,0.084,0.108,0.127,0.128,0.107,0.076,0.049,0.032,0.024,0.022,0.023,0.024,0.025,0.025,0.023,0.021,0.018,0.016,0.014,0.012,0.012,0.013,0.015,0.017,0.026,0.05,0.105,0.192,0.291,0.367,0.392,0.361,0.289,0.203,0.124,0.068,0.038,0.032,0.041,0.063,0.09,0.112,0.115,0.096,0.065,0.037,0.021,0.017,0.023,0.037,0.064,0.1,0.135,0.149,0.135,0.098,0.06,0.033,0.021,0.021,0.032,0.052,0.083,0.115,0.136,0.134,0.111,0.077,0.047,0.028,0.018,0.014,0.012,0.011,0.01,0.011,0.016,0.028,0.048,0.068,0.08,0.082,0.083,0.095,0.119,0.138,0.137,0.112,0.076,0.047,0.035,0.043,0.065,0.095,0.119,0.126,0.114,0.089,0.064,0.046,0.035,0.03,0.027,0.025,0.023,0.022,0.022,0.023,0.024,0.023,0.021,0.019,0.018,0.017,0.018,0.019,0.02,0.021,0.02,0.021,0.021,0.022,0.022,0.024,0.025,0.026,0.026,0.026,0.027,0.028,0.03,0.032,0.033,0.034,0.037,0.043,0.049,0.053,0.054,0.052,0.05,0.049,0.049,0.048,0.048,0.047,0.046,0.046,0.044,0.041,0.037,0.032,0.028,0.025,0.023,0.021,0.02,0.019,0.022,0.034,0.061,0.101,0.141,0.16,0.151,0.121,0.087,0.063,0.049,0.04,0.033,0.026,0.02,0.016,0.014,0.012,0.013,0.015,0.02,0.025,0.029,0.032,0.037,0.047,0.061,0.075,0.082,0.078,0.064,0.046,0.03,0.019,0.013,0.011,0.01,0.009,0.009,0.009,0.01,0.012,0.015,0.018,0.02,0.021,0.02,0.019,0.017,0.016,0.015,0.014,0.013,0.012,0.011,0.011,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.012,0.015,0.022,0.032,0.043,0.051,0.055,0.057,0.058,0.056,0.049,0.038,0.027,0.019,0.015,0.013,0.012,0.011,0.011,0.011,0.011,0.011,0.012,0.013,0.015,0.017,0.019,0.02,0.019,0.017,0.015,0.014,0.013,0.013,0.013,0.013,0.014,0.015,0.015,0.015,0.016,0.016,0.016,0.015,0.015,0.015,0.014,0.014,0.013,0.012,0.012,0.012,0.012,0.012,0.013,0.012,0.012,0.012,0.012,0.012,0.012,0.014,0.016,0.018,0.02,0.021,0.021,0.02,0.018,0.016,0.014,0.014,0.013,0.014,0.014,0.015,0.016,0.017,0.017,0.017,0.016,0.015,0.014,0.014,0.014,0.014,0.014,0.014,0.014,0.013,0.012,0.011,0.01,0.01,0.009,0.008,0.007,0.006,0.006,0.006,0.005,0.005,0.005,0.006,0.006,0.006,0.006,0.005,0.005,0.004,0.004,0.004,0.004,0.004,0.004,0.004,0.003,0.003,0.002,0.002,0.001,0.001,0.001,0,0]