[0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.003,0.004,0.007,0.011,0.015,0.02,0.025,0.03,0.034,0.039,0.044,0.048,0.052,0.054,0.054,0.053,0.051,0.049,0.049,0.051,0.054,0.057,0.059,0.059,0.057,0.054,0.05,0.046,0.044,0.043,0.043,0.043,0.04,0.036,0.03,0.024,0.019,0.015,0.013,0.012,0.014,0.018,0.023,0.028,0.034,0.039,0.045,0.049,0.052,0.053,0.05,0.044,0.035,0.024,0.015,0.009,0.007,0.006,0.007,0.008,0.008,0.01,0.013,0.017,0.021,0.024,0.025,0.023,0.021,0.018,0.015,0.013,0.011,0.01,0.007,0.005,0.003,0.002,0.002,0.001,0.001,0.001,0.002,0.002,0.003,0.004,0.005,0.006,0.006,0.007,0.009,0.011,0.014,0.018,0.021,0.024,0.027,0.029,0.031,0.033,0.035,0.035,0.035,0.033,0.031,0.028,0.027,0.026,0.025,0.025,0.026,0.027,0.028,0.029,0.029,0.029,0.029,0.029,0.03,0.031,0.031,0.031,0.031,0.032,0.033,0.033,0.033,0.033,0.032,0.031,0.03,0.03,0.03,0.03,0.031,0.031,0.029,0.027,0.022,0.017,0.012,0.007,0.005,0.003,0.003,0.003,0.004,0.005,0.008,0.011,0.016,0.021,0.025,0.029,0.032,0.035,0.038,0.039,0.039,0.038,0.036,0.034,0.033,0.032,0.033,0.033,0.033,0.033,0.032,0.029,0.027,0.023,0.019,0.014,0.01,0.007,0.005,0.004,0.005,0.007,0.01,0.014,0.019,0.022,0.022,0.02,0.017,0.013,0.01,0.008,0.006,0.006,0.007,0.01,0.015,0.02,0.024,0.027,0.028,0.029,0.03,0.031,0.032,0.032,0.031,0.03,0.028,0.026,0.023,0.019,0.015,0.01,0.007,0.005,0.005,0.006,0.009,0.014,0.019,0.025,0.031,0.036,0.041,0.044,0.046,0.047,0.047,0.044,0.039,0.033,0.026,0.02,0.017,0.017,0.02,0.025,0.03,0.034,0.035,0.035,0.033,0.03,0.029,0.027,0.027,0.027,0.027,0.027,0.028,0.028,0.029,0.03,0.031,0.031,0.03,0.028,0.025,0.023,0.02,0.018,0.016,0.015,0.014,0.013,0.013,0.013,0.013,0.014,0.014,0.014,0.014,0.014,0.013,0.013,0.012,0.012,0.01,0.009,0.007,0.006,0.005,0.004,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.004,0.005,0.007,0.009,0.01,0.011,0.011,0.012,0.012,0.012,0.011,0.011,0.011,0.011,0.011,0.012,0.013,0.014,0.015,0.016,0.017,0.02,0.024,0.03,0.036,0.04,0.041,0.038,0.032,0.024,0.017,0.011,0.007,0.004,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.003,0.007,0.014,0.024,0.035,0.047,0.058,0.069,0.08,0.088,0.095,0.099,0.103,0.105,0.107,0.109,0.108,0.105,0.1,0.093,0.084,0.076,0.068,0.06,0.053,0.048,0.043,0.039,0.034,0.029,0.025,0.023,0.023,0.024,0.026,0.027,0.029,0.03,0.032,0.035,0.04,0.046,0.053,0.058,0.062,0.063,0.062,0.06,0.057,0.052,0.048,0.045,0.042,0.04,0.036,0.03,0.023,0.016,0.01,0.006,0.004,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.003,0.007,0.014,0.025,0.041,0.059,0.078,0.095,0.108,0.116,0.121,0.121,0.119,0.113,0.105,0.095,0.085,0.078,0.074,0.073,0.073,0.072,0.068,0.06,0.05,0.038,0.028,0.02,0.017,0.019,0.027,0.041,0.06,0.082,0.102,0.115,0.12,0.118,0.112,0.105,0.098,0.091,0.084,0.078,0.072,0.069,0.068,0.068,0.07,0.073,0.075,0.077,0.076,0.07,0.059,0.046,0.035,0.027,0.023,0.023,0.027,0.037,0.051,0.066,0.077,0.084,0.086,0.085,0.083,0.082,0.081,0.081,0.082,0.082,0.08,0.077,0.07,0.062,0.052,0.041,0.03,0.021,0.014,0.011,0.01,0.012,0.015,0.018,0.023,0.031,0.041,0.053,0.063,0.068,0.067,0.061,0.052,0.042,0.033,0.026,0.019,0.014,0.011,0.009,0.009,0.009,0.01,0.01,0.01,0.009,0.007,0.006,0.005,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.004,0.007,0.011,0.017,0.024,0.033,0.041,0.048,0.055,0.061,0.067,0.073,0.077,0.077,0.073,0.063,0.051,0.038,0.028,0.021,0.016,0.013,0.01,0.008,0.008,0.009,0.013,0.019,0.026,0.035,0.042,0.049,0.053,0.056,0.058,0.059,0.063,0.069,0.074,0.076,0.071,0.058,0.042,0.027,0.016,0.009,0.006,0.005,0.006,0.008,0.009,0.011,0.013,0.015,0.015,0.014,0.012,0.011,0.009,0.009,0.008,0.009,0.009,0.009,0.009,0.008,0.007,0.006,0.004,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.003,0.003,0.003,0.003,0.003,0.003,0.004,0.004,0.004,0.004,0.004,0.005,0.006,0.007,0.01,0.015,0.023,0.033,0.043,0.053,0.061,0.064,0.064,0.061,0.057,0.053,0.051,0.05,0.05,0.049,0.048,0.047,0.047,0.047,0.048,0.05,0.052,0.052,0.05,0.044,0.036,0.028,0.021,0.016,0.014,0.013,0.013,0.014,0.014,0.015,0.015,0.014,0.012,0.01,0.009,0.009,0.009,0.011,0.013,0.016,0.019,0.021,0.022,0.023,0.024,0.023,0.023,0.021,0.02,0.019,0.018,0.017,0.016,0.015,0.014,0.012,0.011,0.011,0.01,0.01,0.009,0.009,0.009,0.009,0.009,0.009,0.008,0.008,0.007,0.006,0.005,0.004,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.004,0.007,0.012,0.021,0.033,0.05,0.071,0.097,0.123,0.143,0.152,0.148,0.134,0.114,0.093,0.072,0.052,0.036,0.024,0.017,0.013,0.012,0.013,0.016,0.022,0.029,0.035,0.038,0.037,0.033,0.028,0.025,0.024,0.025,0.027,0.029,0.031,0.032,0.035,0.039,0.048,0.063,0.082,0.106,0.13,0.155,0.179,0.2,0.216,0.225,0.225,0.218,0.206,0.19,0.17,0.149,0.129,0.112,0.1,0.093,0.092,0.095,0.102,0.113,0.124,0.132,0.135,0.132,0.125,0.113,0.096,0.079,0.063,0.054,0.052,0.056,0.064,0.074,0.083,0.088,0.088,0.084,0.077,0.068,0.058,0.046,0.034,0.023,0.016,0.011,0.009,0.01,0.013,0.018,0.023,0.027,0.029,0.031,0.035,0.044,0.06,0.082,0.105,0.123,0.13,0.126,0.118,0.109,0.104,0.105,0.11,0.115,0.117,0.114,0.106,0.097,0.085,0.071,0.056,0.041,0.03,0.022,0.019,0.018,0.019,0.02,0.019,0.018,0.016,0.014,0.013,0.015,0.019,0.025,0.033,0.041,0.05,0.06,0.071,0.085,0.098,0.109,0.115,0.114,0.107,0.1,0.094,0.09,0.088,0.084,0.077,0.066,0.053,0.039,0.027,0.019,0.014,0.013,0.015,0.018,0.023,0.027,0.029,0.031,0.033,0.041,0.06,0.093,0.138,0.186,0.228,0.263,0.297,0.335,0.379,0.421,0.456,0.48,0.493,0.497,0.495,0.488,0.477,0.462,0.447,0.435,0.426,0.421,0.418,0.416,0.409,0.399,0.384,0.367,0.35,0.335,0.32,0.304,0.284,0.261,0.234,0.205,0.175,0.147,0.122,0.105,0.093,0.086,0.084,0.086,0.093,0.103,0.115,0.127,0.138,0.15,0.165,0.182,0.198,0.21,0.216,0.216,0.213,0.209,0.207,0.207,0.205,0.201,0.192,0.179,0.163,0.147,0.133,0.123,0.116,0.111,0.106,0.099,0.089,0.077,0.063,0.051,0.04,0.032,0.026,0.022,0.019,0.017,0.016,0.015,0.014,0.014,0.014,0.014,0.015,0.016,0.018,0.021,0.024,0.027,0.03,0.031,0.032,0.032,0.031,0.029,0.025,0.021,0.017,0.013,0.01,0.007,0.005,0.003,0.002,0.002,0.002,0.002,0.003,0.004,0.005,0.006,0.007,0.007,0.007,0.008,0.008,0.009,0.009,0.01,0.01,0.011,0.012,0.013,0.014,0.015,0.015,0.013,0.011,0.008,0.006,0.005,0.006,0.009,0.018,0.036,0.07,0.124,0.193,0.269,0.34,0.397,0.44,0.471,0.486,0.481,0.449,0.391,0.319,0.256,0.228,0.246,0.304,0.384,0.471,0.559,0.652,0.74,0.807,0.833,0.817,0.775,0.728,0.688,0.656,0.635,0.629,0.645,0.684,0.735,0.781,0.803,0.784,0.722,0.633,0.543,0.473,0.431,0.407,0.382,0.346,0.3,0.255,0.218,0.189,0.163,0.135,0.107,0.081,0.063,0.051,0.045,0.041,0.038,0.033,0.029,0.025,0.021,0.019,0.018,0.016,0.014,0.013,0.011,0.01,0.009,0.008,0.007,0.007,0.007,0.008,0.01,0.012,0.013,0.014,0.015,0.016,0.017,0.018,0.018,0.017,0.017,0.017,0.016,0.015,0.014,0.012,0.011,0.01,0.01,0.01,0.009,0.009,0.009,0.008,0.008,0.007,0.007,0.006,0.006,0.006,0.006,0.005,0.005,0.005,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.007,0.017,0.035,0.062,0.092,0.117,0.13,0.126,0.112,0.095,0.086,0.086,0.092,0.098,0.101,0.099,0.097,0.095,0.096,0.098,0.101,0.106,0.113,0.122,0.131,0.138,0.139,0.135,0.126,0.117,0.109,0.105,0.103,0.103,0.103,0.104,0.105,0.107,0.107,0.107,0.107,0.109,0.111,0.115,0.119,0.123,0.125,0.123,0.118,0.108,0.095,0.079,0.064,0.05,0.039,0.031,0.026,0.024,0.023,0.026,0.033,0.045,0.062,0.079,0.095,0.105,0.11,0.112,0.113,0.113,0.114,0.114,0.111,0.104,0.093,0.08,0.067,0.055,0.044,0.036,0.035,0.039,0.047,0.057,0.064,0.068,0.068,0.066,0.061,0.057,0.051,0.046,0.041,0.037,0.034,0.033,0.033,0.034,0.036,0.038,0.039,0.04,0.039,0.04,0.042,0.049,0.059,0.071,0.08,0.082,0.076,0.063,0.048,0.033,0.023,0.017,0.015,0.014,0.015,0.015,0.014,0.013,0.012,0.01,0.009,0.008,0.008,0.008,0.008,0.008,0.008,0.008,0.007,0.006,0.006,0.005,0.004,0.004,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.002,0.003,0.006,0.009,0.012,0.018,0.025,0.034,0.045,0.056,0.068,0.077,0.083,0.085,0.084,0.08,0.074,0.066,0.056,0.048,0.041,0.037,0.035,0.035,0.035,0.035,0.035,0.035,0.037,0.044,0.056,0.072,0.09,0.105,0.114,0.116,0.114,0.108,0.101,0.092,0.08,0.069,0.058,0.05,0.044,0.04,0.038,0.038,0.038,0.041,0.044,0.05,0.056,0.064,0.074,0.084,0.093,0.098,0.099,0.098,0.096,0.093,0.085,0.072,0.055,0.04,0.03,0.025,0.023,0.024,0.025,0.026,0.027,0.029,0.031,0.038,0.05,0.067,0.088,0.109,0.127,0.141,0.149,0.153,0.151,0.144,0.134,0.124,0.114,0.105,0.095,0.085,0.073,0.06,0.047,0.035,0.026,0.018,0.013,0.01,0.007,0.005,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.003,0.004,0.007,0.01,0.014,0.019,0.024,0.027,0.029,0.03,0.028,0.026,0.023,0.02,0.019,0.02,0.025,0.034,0.046,0.057,0.064,0.066,0.066,0.065,0.067,0.069,0.072,0.076,0.08,0.087,0.095,0.103,0.108,0.11,0.106,0.098,0.084,0.067,0.048,0.032,0.021,0.014,0.011,0.011,0.012,0.014,0.015,0.016,0.017,0.02,0.025,0.032,0.039,0.044,0.046,0.044,0.04,0.036,0.033,0.033,0.035,0.04,0.046,0.055,0.065,0.076,0.087,0.094,0.098,0.097,0.093,0.088,0.083,0.08,0.078,0.076,0.076,0.075,0.075,0.076,0.077,0.077,0.076,0.075,0.074,0.074,0.075,0.078,0.081,0.083,0.083,0.08,0.073,0.065,0.054,0.043,0.032,0.024,0.019,0.016,0.014,0.012,0.01,0.008,0.008,0.01,0.014,0.02,0.029,0.038,0.047,0.053,0.057,0.061,0.067,0.073,0.08,0.083,0.081,0.074,0.064,0.052,0.041,0.033,0.029,0.028,0.031,0.036,0.045,0.057,0.07,0.08,0.087,0.09,0.09,0.088,0.085,0.082,0.079,0.075,0.07,0.067,0.063,0.06,0.056,0.05,0.042,0.033,0.023,0.016,0.01,0.006,0.004,0.003,0.003,0.004,0.006,0.008,0.01,0.01,0.01,0.01,0.009,0.008,0.007,0.006,0.005,0.005,0.004,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.003,0.004,0.008,0.012,0.018,0.023,0.028,0.032,0.034,0.035,0.034,0.031,0.027,0.021,0.015,0.01,0.007,0.005,0.005,0.005,0.009,0.016,0.028,0.045,0.062,0.075,0.082,0.083,0.078,0.07,0.06,0.048,0.037,0.027,0.024,0.026,0.036,0.049,0.06,0.068,0.07,0.07,0.068,0.065,0.061,0.057,0.054,0.053,0.054,0.056,0.059,0.063,0.066,0.068,0.069,0.068,0.063,0.055,0.045,0.035,0.029,0.026,0.027,0.031,0.035,0.038,0.04,0.041,0.04,0.039,0.037,0.037,0.039,0.043,0.048,0.055,0.063,0.069,0.075,0.077,0.078,0.076,0.072,0.068,0.064,0.061,0.06,0.06,0.059,0.059,0.056,0.052,0.046,0.038,0.03,0.022,0.015,0.01,0.007,0.005,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001]