[0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.004,0.003,0.003,0.003,0.003,0.004,0.005,0.007,0.008,0.009,0.01,0.01,0.01,0.01,0.01,0.009,0.009,0.008,0.008,0.007,0.007,0.007,0.007,0.007,0.008,0.009,0.009,0.01,0.016,0.04,0.095,0.187,0.305,0.423,0.515,0.554,0.531,0.445,0.325,0.211,0.141,0.12,0.126,0.134,0.131,0.118,0.098,0.073,0.052,0.045,0.06,0.094,0.128,0.141,0.124,0.09,0.061,0.05,0.059,0.078,0.102,0.124,0.137,0.142,0.145,0.157,0.174,0.185,0.177,0.153,0.123,0.097,0.075,0.055,0.04,0.033,0.038,0.053,0.07,0.082,0.089,0.098,0.112,0.126,0.134,0.134,0.135,0.14,0.146,0.15,0.154,0.162,0.166,0.155,0.127,0.095,0.077,0.084,0.111,0.147,0.176,0.191,0.187,0.162,0.125,0.09,0.07,0.067,0.07,0.072,0.08,0.105,0.147,0.186,0.197,0.173,0.135,0.109,0.106,0.113,0.113,0.101,0.085,0.069,0.059,0.051,0.05,0.056,0.07,0.087,0.102,0.109,0.107,0.097,0.079,0.055,0.034,0.023,0.034,0.081,0.16,0.253,0.318,0.33,0.285,0.216,0.157,0.128,0.122,0.123,0.112,0.087,0.055,0.029,0.013,0.006,0.005,0.006,0.01,0.015,0.021,0.027,0.036,0.048,0.066,0.085,0.102,0.112,0.111,0.106,0.104,0.111,0.122,0.125,0.111,0.084,0.055,0.034,0.022,0.018,0.019,0.021,0.029,0.045,0.069,0.095,0.117,0.133,0.141,0.141,0.13,0.117,0.115,0.132,0.152,0.158,0.143,0.124,0.116,0.13,0.159,0.196,0.231,0.257,0.264,0.248,0.211,0.164,0.122,0.099,0.098,0.115,0.138,0.161,0.179,0.182,0.163,0.124,0.084,0.064,0.071,0.096,0.122,0.141,0.156,0.173,0.188,0.19,0.171,0.134,0.095,0.067,0.06,0.072,0.098,0.131,0.161,0.176,0.167,0.135,0.095,0.064,0.053,0.059,0.069,0.076,0.079,0.089,0.112,0.141,0.157,0.149,0.12,0.093,0.08,0.083,0.089,0.091,0.085,0.072,0.055,0.038,0.027,0.023,0.027,0.032,0.033,0.03,0.026,0.024,0.027,0.036,0.046,0.052,0.053,0.051,0.049,0.054,0.067,0.084,0.103,0.123,0.14,0.151,0.148,0.128,0.094,0.059,0.031,0.015,0.01,0.015,0.033,0.066,0.106,0.137,0.143,0.125,0.099,0.09,0.109,0.148,0.181,0.192,0.183,0.172,0.175,0.186,0.19,0.181,0.163,0.143,0.122,0.099,0.082,0.086,0.116,0.159,0.19,0.189,0.155,0.105,0.065,0.049,0.056,0.076,0.095,0.104,0.098,0.083,0.062,0.042,0.028,0.024,0.037,0.065,0.103,0.134,0.147,0.136,0.117,0.106,0.114,0.132,0.148,0.151,0.144,0.13,0.118,0.113,0.117,0.122,0.124,0.114,0.095,0.073,0.058,0.062,0.088,0.126,0.159,0.172,0.164,0.149,0.141,0.14,0.138,0.126,0.112,0.106,0.123,0.157,0.195,0.219,0.222,0.207,0.185,0.164,0.148,0.129,0.105,0.082,0.078,0.103,0.151,0.197,0.211,0.182,0.128,0.072,0.037,0.029,0.048,0.089,0.136,0.172,0.179,0.16,0.133,0.116,0.115,0.117,0.114,0.105,0.094,0.084,0.08,0.088,0.112,0.141,0.157,0.146,0.115,0.08,0.055,0.046,0.049,0.06,0.073,0.083,0.088,0.086,0.079,0.071,0.069,0.078,0.097,0.115,0.121,0.111,0.1,0.102,0.122,0.141,0.145,0.123,0.088,0.053,0.032,0.029,0.04,0.056,0.065,0.062,0.047,0.03,0.018,0.014,0.015,0.018,0.022,0.025,0.029,0.034,0.037,0.038,0.036,0.033,0.031,0.031,0.033,0.033,0.03,0.024,0.018,0.014,0.013,0.015,0.017,0.019,0.02,0.02,0.022,0.027,0.031,0.031,0.028,0.022,0.016,0.013,0.013,0.013,0.014,0.015,0.016,0.017,0.02,0.024,0.032,0.042,0.051,0.055,0.051,0.043,0.035,0.031,0.03,0.03,0.029,0.025,0.02,0.015,0.011,0.009,0.008,0.01,0.014,0.022,0.032,0.04,0.043,0.041,0.041,0.042,0.044,0.043,0.039,0.037,0.039,0.042,0.042,0.036,0.028,0.024,0.027,0.034,0.041,0.042,0.039,0.034,0.032,0.034,0.037,0.038,0.036,0.031,0.025,0.02,0.019,0.023,0.032,0.042,0.05,0.054,0.052,0.046,0.038,0.031,0.025,0.023,0.027,0.037,0.051,0.067,0.08,0.083,0.078,0.066,0.052,0.041,0.034,0.03,0.028,0.027,0.027,0.03,0.034,0.037,0.037,0.033,0.027,0.022,0.018,0.016,0.015,0.014,0.015,0.016,0.017,0.016,0.015,0.013,0.012,0.012,0.013,0.014,0.016,0.017,0.017,0.018,0.02,0.022,0.024,0.024,0.023,0.023,0.025,0.032,0.039,0.046,0.048,0.045,0.039,0.035,0.036,0.042,0.053,0.063,0.069,0.067,0.06,0.049,0.039,0.034,0.033,0.036,0.038,0.038,0.035,0.032,0.031,0.031,0.031,0.029,0.028,0.028,0.029,0.03,0.029,0.027,0.028,0.031,0.035,0.035,0.03,0.024,0.019,0.018,0.019,0.022,0.025,0.028,0.028,0.027,0.026,0.027,0.03,0.033,0.033,0.031,0.03,0.031,0.035,0.04,0.043,0.042,0.038,0.032,0.028,0.026,0.028,0.033,0.038,0.042,0.042,0.039,0.036,0.033,0.03,0.027,0.024,0.023,0.023,0.026,0.029,0.032,0.032,0.03,0.028,0.026,0.026,0.027,0.029,0.031,0.033,0.032,0.031,0.03,0.032,0.039,0.048,0.055,0.058,0.055,0.048,0.043,0.041,0.042,0.043,0.042,0.036,0.028,0.021,0.016,0.014,0.015,0.018,0.023,0.028,0.031,0.031,0.027,0.021,0.016,0.014,0.014,0.015,0.018,0.019,0.02,0.019,0.017,0.014,0.012,0.011,0.012,0.015,0.021,0.027,0.033,0.035,0.033,0.031,0.031,0.031,0.031,0.028,0.024,0.02,0.019,0.019,0.02,0.019,0.018,0.017,0.017,0.019,0.023,0.028,0.03,0.03,0.027,0.022,0.019,0.018,0.019,0.021,0.023,0.025,0.027,0.028,0.028,0.028,0.029,0.032,0.033,0.031,0.029,0.027,0.027,0.027,0.027,0.023,0.019,0.017,0.016,0.02,0.026,0.032,0.035,0.036,0.032,0.027,0.022,0.02,0.023,0.029,0.035,0.038,0.036,0.032,0.028,0.026,0.025,0.027,0.03,0.033,0.035,0.033,0.03,0.026,0.025,0.026,0.028,0.032,0.035,0.036,0.035,0.033,0.032,0.033,0.035,0.038,0.043,0.049,0.053,0.053,0.048,0.04,0.031,0.025,0.02,0.016,0.013,0.012,0.013,0.018,0.029,0.042,0.053,0.058,0.056,0.05,0.045,0.044,0.047,0.052,0.056,0.06,0.063,0.063,0.057,0.046,0.034,0.024,0.02,0.019,0.021,0.023,0.028,0.034,0.04,0.044,0.046,0.043,0.04,0.037,0.036,0.035,0.034,0.031,0.027,0.024,0.024,0.027,0.033,0.041,0.052,0.062,0.068,0.066,0.059,0.05,0.045,0.044,0.043,0.04,0.036,0.032,0.031,0.032,0.035,0.038,0.043,0.05,0.059,0.064,0.063,0.058,0.051,0.048,0.05,0.056,0.063,0.07,0.075,0.078,0.075,0.068,0.06,0.057,0.06,0.067,0.072,0.071,0.063,0.051,0.039,0.031,0.026,0.023,0.02,0.018,0.018,0.02,0.024,0.029,0.032,0.031,0.03,0.031,0.036,0.047,0.059,0.071,0.08,0.085,0.083,0.076,0.067,0.06,0.056,0.053,0.048,0.041,0.034,0.028,0.025,0.025,0.028,0.03,0.032,0.031,0.028,0.023,0.02,0.019,0.021,0.023,0.025,0.026,0.028,0.03,0.033,0.036,0.038,0.039,0.038,0.036,0.035,0.035,0.037,0.039,0.04,0.039,0.034,0.028,0.024,0.022,0.024,0.029,0.034,0.037,0.039,0.04,0.043,0.048,0.051,0.052,0.049,0.043,0.038,0.034,0.035,0.039,0.045,0.05,0.049,0.045,0.038,0.034,0.032,0.032,0.035,0.041,0.048,0.052,0.051,0.044,0.036,0.033,0.035,0.043,0.05,0.054,0.053,0.048,0.043,0.04,0.038,0.038,0.038,0.039,0.038,0.038,0.038,0.037,0.036,0.036,0.037,0.042,0.05,0.057,0.061,0.059,0.053,0.046,0.042,0.042,0.042,0.039,0.035,0.029,0.024,0.023,0.023,0.025,0.027,0.031,0.034,0.036,0.036,0.034,0.031,0.03,0.029,0.03,0.03,0.029,0.029,0.032,0.039,0.048,0.058,0.065,0.068,0.066,0.062,0.056,0.048,0.04,0.035,0.031,0.03,0.032,0.034,0.036,0.037,0.038,0.042,0.047,0.05,0.049,0.043,0.037,0.034,0.037,0.045,0.055,0.063,0.068,0.073,0.078,0.086,0.091,0.091,0.084,0.072,0.059,0.051,0.048,0.054,0.067,0.085,0.101,0.109,0.11,0.108,0.107,0.107,0.104,0.096,0.083,0.068,0.059,0.054,0.054,0.052,0.047,0.041,0.035,0.033,0.035,0.037,0.039,0.038,0.036,0.037,0.044,0.059,0.081,0.106,0.125,0.13,0.118,0.094,0.067,0.047,0.035,0.029,0.027,0.026,0.026,0.029,0.036,0.047,0.06,0.073,0.081,0.082,0.077,0.068,0.057,0.046,0.037,0.031,0.027,0.026,0.024,0.022,0.02,0.021,0.022,0.023,0.023,0.022,0.021,0.02,0.022,0.026,0.032,0.04,0.048,0.054,0.057,0.056,0.052,0.048,0.044,0.042,0.04,0.038,0.035,0.032,0.03,0.031,0.033,0.037,0.039,0.04,0.038,0.037,0.037,0.04,0.044,0.048,0.051,0.054,0.058,0.06,0.058,0.053,0.045,0.04,0.038,0.039,0.041,0.042,0.044,0.047,0.051,0.057,0.062,0.065,0.062,0.054,0.046,0.04,0.039,0.041,0.046,0.052,0.057,0.06,0.06,0.056,0.05,0.045,0.043,0.045,0.049,0.053,0.055,0.055,0.053,0.052,0.054,0.057,0.061,0.063,0.066,0.069,0.074,0.079,0.081,0.075,0.061,0.044,0.03,0.023,0.021,0.022,0.025,0.027,0.029,0.029,0.03,0.032,0.034,0.036,0.036,0.033,0.03,0.029,0.031,0.037,0.044,0.05,0.055,0.057,0.058,0.059,0.058,0.055,0.051,0.047,0.044,0.041,0.041,0.041,0.042,0.041,0.04,0.042,0.049,0.063,0.082,0.101,0.113,0.112,0.102,0.09,0.081,0.074,0.069,0.063,0.056,0.048,0.041,0.038,0.039,0.043,0.047,0.051,0.052,0.051,0.048,0.045,0.045,0.048,0.055,0.065,0.079,0.096,0.117,0.135,0.145,0.141,0.126,0.108,0.093,0.083,0.075,0.068,0.06,0.053,0.047,0.044,0.044,0.047,0.053,0.065,0.083,0.106,0.13,0.145,0.143,0.127,0.105,0.087,0.078,0.075,0.074,0.075,0.079,0.086,0.089,0.085,0.074,0.065,0.062,0.066,0.07,0.071,0.069,0.067,0.068,0.07,0.071,0.07,0.068,0.067,0.065,0.064,0.065,0.072,0.081,0.088,0.088,0.08,0.071,0.064,0.06,0.057,0.055,0.053,0.055,0.06,0.067,0.078,0.096,0.118,0.139,0.147,0.139,0.118,0.096,0.082,0.077,0.077,0.079,0.079,0.077,0.074,0.073,0.078,0.091,0.108,0.122,0.124,0.115,0.103,0.097,0.098,0.102,0.099,0.089,0.076,0.067,0.061,0.057,0.052,0.048,0.045,0.043,0.044,0.045,0.049,0.057,0.063,0.066,0.062,0.056,0.053,0.052,0.054,0.056,0.056,0.056,0.057,0.06,0.065,0.072,0.082,0.096,0.107,0.11,0.1,0.083,0.066,0.053,0.046,0.045,0.046,0.047,0.047,0.047,0.048,0.05,0.051,0.048,0.043,0.037,0.033,0.031,0.031,0.032,0.034,0.036,0.037,0.037,0.037,0.036,0.033,0.029,0.026,0.025,0.027,0.029,0.03,0.027,0.024,0.023,0.028,0.037,0.048,0.058,0.064,0.064,0.056,0.045,0.037,0.036,0.043,0.057,0.072,0.084,0.089,0.086,0.076,0.064,0.053,0.048,0.048,0.052,0.057,0.06,0.059,0.056,0.051,0.048,0.046,0.044,0.042,0.038,0.036,0.035,0.038,0.043,0.049,0.054,0.055,0.051,0.044,0.037,0.031,0.027,0.023,0.021,0.023,0.028,0.036,0.045,0.051,0.053,0.052,0.049,0.046,0.043,0.04,0.039,0.038,0.039,0.041,0.043,0.047,0.051,0.054,0.054,0.052,0.047,0.044,0.043,0.044,0.046,0.047,0.046,0.043,0.039,0.035,0.034,0.035,0.037,0.04,0.041,0.041,0.042,0.045,0.051,0.058,0.065,0.067,0.065,0.058,0.048,0.039,0.032,0.028,0.027,0.027,0.03,0.033,0.035,0.035,0.035,0.035,0.035,0.034,0.034,0.034,0.037,0.042,0.046,0.048,0.048,0.045,0.041,0.036,0.033,0.032,0.033,0.037,0.045,0.057,0.069,0.077,0.074,0.062,0.047,0.035,0.029,0.028,0.031,0.037,0.042,0.045,0.042,0.037,0.03,0.025,0.023,0.025,0.032,0.045,0.065,0.096,0.139,0.188,0.225,0.234,0.206,0.152,0.096,0.058,0.039,0.035,0.035,0.034,0.033,0.033,0.035,0.036,0.037,0.034,0.03,0.026,0.025,0.029,0.036,0.041,0.042,0.039,0.033,0.03,0.032,0.037,0.041,0.042,0.039,0.033,0.028,0.025,0.024,0.026,0.03,0.034,0.038,0.041,0.042,0.044,0.045,0.046,0.048,0.051,0.056,0.063,0.072,0.083,0.091,0.095,0.093,0.09,0.084,0.079,0.074,0.072,0.075,0.083,0.09,0.09,0.081,0.066,0.052,0.044,0.042,0.042,0.044,0.045,0.045,0.045,0.045,0.047,0.051,0.056,0.06,0.062,0.06,0.056,0.052,0.049,0.048,0.047,0.047,0.047,0.048,0.05,0.051,0.051,0.049,0.048,0.049,0.052,0.058,0.064,0.069,0.071,0.072,0.073,0.076,0.081,0.088,0.094,0.1,0.105,0.104,0.1,0.091,0.082,0.077,0.078,0.086,0.099,0.115,0.131,0.144,0.15,0.145,0.129,0.109,0.091,0.08,0.077,0.081,0.087,0.091,0.091,0.087,0.081,0.075,0.071,0.071,0.075,0.08,0.084,0.085,0.084,0.085,0.086,0.086,0.081,0.072,0.066,0.064,0.065,0.067,0.065,0.061,0.056,0.055,0.059,0.067,0.076,0.082,0.081,0.074,0.065,0.06,0.061,0.066,0.068,0.067,0.064,0.061,0.059,0.058,0.057,0.06,0.069,0.079,0.089,0.093,0.094,0.09,0.084,0.073,0.062,0.054,0.052,0.053,0.057,0.058,0.057,0.053,0.048,0.041,0.034,0.028,0.022,0.018,0.015,0.015,0.016,0.02,0.027,0.036,0.046,0.057,0.067,0.075,0.08,0.079,0.075,0.071,0.067,0.066,0.067,0.069,0.073,0.08,0.091,0.098,0.097,0.087,0.072,0.058,0.049,0.048,0.051,0.057,0.062,0.065,0.068,0.074,0.081,0.085,0.083,0.075,0.067,0.062,0.06,0.059,0.059,0.06,0.063,0.066,0.067,0.066,0.065,0.064,0.067,0.073,0.079,0.082,0.079,0.072,0.066,0.061,0.058,0.055,0.051,0.047,0.047,0.049,0.052,0.053,0.052,0.051,0.053,0.057,0.063,0.07,0.079,0.088,0.099,0.108,0.117,0.125,0.133,0.141,0.147,0.146,0.141,0.133,0.127,0.127,0.132,0.142,0.155,0.166,0.173,0.174,0.166,0.153,0.138,0.128,0.122,0.117,0.107,0.091,0.074,0.062,0.055,0.05,0.044,0.037,0.031,0.03,0.033,0.039,0.047,0.06,0.078,0.097,0.109,0.111,0.104,0.092,0.08,0.068,0.057,0.047,0.041,0.039,0.04,0.04,0.041,0.043,0.046,0.049,0.05,0.047,0.041,0.035,0.033,0.038,0.05,0.068,0.086,0.096,0.098,0.092,0.085,0.078,0.074,0.069,0.064,0.06,0.06,0.065,0.074,0.083,0.087,0.082,0.068,0.049,0.029,0.016,0.009,0.008,0.011,0.015,0.019,0.023,0.025,0.029,0.036,0.047,0.06,0.071,0.078,0.083,0.089,0.097,0.107,0.116,0.123,0.124,0.119,0.111,0.102,0.1,0.106,0.116,0.127,0.133,0.134,0.132,0.132,0.133,0.134,0.134,0.135,0.139,0.144,0.148,0.144,0.132,0.116,0.103,0.1,0.106,0.113,0.115,0.11,0.104,0.102,0.107,0.115,0.12,0.122,0.118,0.108,0.093,0.077,0.067,0.064,0.068,0.073,0.077,0.076,0.072,0.07,0.07,0.074,0.077,0.076,0.071,0.066,0.064,0.067,0.07,0.074,0.076,0.081,0.089,0.098,0.105,0.109,0.108,0.106,0.104,0.102,0.098,0.092,0.085,0.079,0.074,0.072,0.07,0.071,0.075,0.081,0.089,0.094,0.094,0.092,0.092,0.095,0.097,0.094,0.084,0.074,0.073,0.083,0.098,0.108,0.109,0.106,0.11,0.123,0.14,0.151,0.151,0.146,0.141,0.141,0.146,0.152,0.158,0.164,0.17,0.174,0.176,0.176,0.17,0.16,0.146,0.134,0.126,0.123,0.122,0.12,0.114,0.107,0.104,0.107,0.121,0.14,0.16,0.174,0.181,0.183,0.184,0.187,0.196,0.212,0.231,0.241,0.237,0.221,0.202,0.188,0.178,0.165,0.149,0.136,0.13,0.131,0.135,0.135,0.128,0.116,0.101,0.088,0.077,0.069,0.067,0.074,0.087,0.098,0.101,0.095,0.084,0.075,0.069,0.066,0.064,0.062,0.057,0.05,0.041,0.032,0.024,0.019,0.017,0.016,0.017,0.019,0.018,0.017,0.014,0.013,0.014,0.018,0.021,0.022,0.021,0.017,0.013,0.01,0.008,0.007,0.006,0.006,0.006,0.006,0.006,0.007,0.007,0.008,0.01,0.013,0.017,0.018,0.017,0.014,0.012,0.013,0.014,0.016,0.017,0.019,0.022,0.027,0.031,0.032,0.03,0.027,0.023,0.019,0.016,0.014,0.013,0.012,0.011,0.011,0.01,0.011,0.011,0.01,0.008,0.006,0.005,0.005,0.005,0.005,0.007,0.012,0.021,0.032,0.04,0.04,0.033,0.023,0.016,0.014,0.015,0.018,0.023,0.026,0.027,0.027,0.028,0.032,0.037,0.04,0.037,0.029,0.02,0.013,0.01,0.011,0.015,0.022,0.029,0.032,0.032,0.028,0.023,0.019,0.017,0.016,0.016,0.018,0.019,0.018,0.016,0.014,0.015,0.019,0.026,0.031,0.032,0.028,0.025,0.026,0.033,0.047,0.069,0.097,0.123,0.136,0.127,0.1,0.066,0.038,0.02,0.013,0.013,0.018,0.024,0.027,0.025,0.019,0.013,0.01,0.01,0.013,0.021,0.033,0.045,0.052,0.05,0.042,0.031,0.024,0.021,0.021,0.023,0.024,0.024,0.023,0.026,0.035,0.047,0.057,0.059,0.053,0.041,0.03,0.022,0.018,0.015,0.013,0.011,0.011,0.015,0.019,0.023,0.027,0.029,0.029,0.026,0.021,0.014,0.009,0.006,0.005,0.005,0.005,0.006,0.005,0.005,0.005,0.005,0.006,0.009,0.012,0.015,0.017,0.016,0.014,0.012,0.013,0.017,0.023,0.026,0.024,0.019,0.012,0.007,0.004,0.004,0.008,0.013,0.021,0.026,0.027,0.023,0.017,0.011,0.008,0.006,0.005,0.005,0.006,0.009,0.013,0.016,0.017,0.019,0.021,0.024,0.029,0.033,0.035,0.033,0.027,0.02,0.014,0.013,0.014,0.016,0.017,0.017,0.018,0.02,0.024,0.026,0.025,0.02,0.014,0.009,0.007,0.009,0.011,0.013,0.014,0.014,0.012,0.009,0.005,0.003,0.002,0.002,0.002,0.003,0.003,0.003,0.003,0.003,0.003,0.004,0.004,0.004,0.005,0.008,0.012,0.016,0.017,0.017,0.015,0.012,0.009,0.006,0.004,0.005,0.008,0.013,0.017,0.019,0.019,0.018,0.016,0.014,0.011,0.008,0.005,0.003,0.002,0.001,0.001,0.001,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.003,0.002,0.002,0.001,0.001,0.001,0.003,0.007,0.015,0.032,0.059,0.091,0.12,0.135,0.133,0.116,0.093,0.072,0.057,0.048,0.043,0.039,0.036,0.033,0.029,0.023,0.017,0.012,0.007,0.004,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0,0,0,0]