[0.199,0.196,0.186,0.168,0.145,0.121,0.102,0.088,0.078,0.069,0.061,0.053,0.044,0.033,0.022,0.018,0.027,0.053,0.094,0.14,0.173,0.186,0.177,0.157,0.132,0.106,0.078,0.051,0.029,0.017,0.017,0.03,0.053,0.078,0.096,0.099,0.088,0.068,0.044,0.025,0.015,0.015,0.028,0.047,0.066,0.077,0.078,0.073,0.068,0.065,0.063,0.061,0.065,0.074,0.085,0.09,0.084,0.068,0.05,0.039,0.04,0.046,0.051,0.048,0.037,0.023,0.012,0.005,0.004,0.007,0.014,0.023,0.033,0.037,0.035,0.028,0.021,0.023,0.037,0.063,0.091,0.113,0.124,0.126,0.12,0.108,0.09,0.068,0.046,0.028,0.018,0.02,0.033,0.055,0.076,0.09,0.09,0.084,0.076,0.07,0.063,0.051,0.035,0.024,0.026,0.046,0.078,0.114,0.142,0.155,0.156,0.151,0.142,0.13,0.115,0.101,0.092,0.09,0.091,0.093,0.092,0.089,0.084,0.079,0.073,0.065,0.058,0.053,0.05,0.046,0.038,0.027,0.016,0.007,0.004,0.005,0.016,0.039,0.073,0.11,0.138,0.15,0.151,0.144,0.134,0.122,0.111,0.101,0.088,0.072,0.05,0.029,0.014,0.009,0.014,0.034,0.067,0.111,0.155,0.185,0.192,0.181,0.161,0.143,0.134,0.132,0.134,0.134,0.128,0.116,0.102,0.093,0.089,0.087,0.082,0.072,0.056,0.036,0.02,0.008,0.003,0.002,0.004,0.009,0.017,0.024,0.027,0.026,0.02,0.014,0.008,0.004,0.002,0.001,0.001,0.001,0.001,0.004,0.013,0.029,0.053,0.077,0.096,0.104,0.103,0.098,0.095,0.093,0.092,0.089,0.083,0.076,0.069,0.065,0.064,0.062,0.054,0.04,0.025,0.012,0.005,0.004,0.009,0.022,0.046,0.075,0.101,0.116,0.119,0.115,0.111,0.111,0.113,0.116,0.115,0.109,0.098,0.086,0.076,0.066,0.056,0.045,0.033,0.022,0.014,0.013,0.024,0.048,0.081,0.111,0.127,0.126,0.112,0.095,0.081,0.072,0.063,0.053,0.039,0.026,0.015,0.009,0.01,0.023,0.045,0.073,0.098,0.113,0.118,0.116,0.109,0.101,0.092,0.083,0.074,0.064,0.05,0.035,0.021,0.011,0.004,0.003,0.005,0.012,0.025,0.042,0.061,0.076,0.086,0.092,0.096,0.1,0.1,0.095,0.082,0.064,0.045,0.027,0.014,0.006,0.002,0.002,0.006,0.014,0.028,0.044,0.057,0.061,0.053,0.04,0.032,0.034,0.047,0.066,0.086,0.1,0.107,0.105,0.097,0.088,0.082,0.08,0.077,0.072,0.064,0.055,0.048,0.047,0.056,0.071,0.088,0.1,0.104,0.101,0.096,0.088,0.076,0.06,0.041,0.023,0.012,0.007,0.007,0.009,0.01,0.009,0.007,0.005,0.004,0.004,0.007,0.015,0.026,0.038,0.044,0.042,0.034,0.025,0.024,0.032,0.049,0.069,0.087,0.1,0.105,0.104,0.097,0.089,0.082,0.075,0.068,0.061,0.056,0.053,0.053,0.055,0.055,0.051,0.046,0.041,0.039,0.038,0.038,0.035,0.029,0.021,0.012,0.006,0.006,0.014,0.033,0.063,0.096,0.12,0.128,0.121,0.108,0.096,0.088,0.082,0.075,0.067,0.057,0.046,0.04,0.042,0.054,0.075,0.096,0.11,0.113,0.104,0.087,0.071,0.063,0.068,0.084,0.101,0.11,0.111,0.107,0.102,0.095,0.085,0.072,0.059,0.05,0.043,0.036,0.027,0.018,0.011,0.009,0.015,0.028,0.043,0.053,0.054,0.049,0.046,0.048,0.057,0.069,0.08,0.089,0.092,0.09,0.082,0.071,0.062,0.052,0.041,0.028,0.015,0.007,0.004,0.005,0.009,0.013,0.017,0.021,0.027,0.033,0.037,0.035,0.027,0.016,0.008,0.003,0.003,0.005,0.01,0.014,0.018,0.021,0.023,0.024,0.023,0.02,0.015,0.009,0.005,0.005,0.01,0.019,0.033,0.048,0.062,0.072,0.078,0.078,0.069,0.054,0.04,0.031,0.031,0.033,0.033,0.029,0.02,0.012,0.006,0.004,0.006,0.011,0.018,0.024,0.029,0.03,0.028,0.025,0.02,0.015,0.014,0.017,0.022,0.026,0.025,0.019,0.012,0.006,0.005,0.007,0.011,0.015,0.018,0.017,0.013,0.008,0.005,0.004,0.008,0.015,0.025,0.034,0.042,0.05,0.057,0.061,0.059,0.052,0.044,0.038,0.033,0.027,0.018,0.011,0.005,0.002,0.002,0.006,0.013,0.025,0.039,0.05,0.057,0.06,0.06,0.06,0.058,0.057,0.055,0.053,0.05,0.047,0.042,0.035,0.027,0.019,0.015,0.017,0.024,0.033,0.038,0.039,0.035,0.03,0.024,0.018,0.013,0.01,0.008,0.007,0.007,0.01,0.017,0.026,0.034,0.036,0.031,0.022,0.012,0.006,0.005,0.01,0.02,0.03,0.036,0.034,0.026,0.015,0.007,0.003,0.003,0.008,0.02,0.039,0.064,0.086,0.099,0.101,0.098,0.093,0.086,0.074,0.055,0.033,0.016,0.007,0.005,0.011,0.02,0.03,0.035,0.033,0.024,0.013,0.006,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.007,0.015,0.03,0.047,0.062,0.066,0.057,0.04,0.022,0.01,0.003,0.001,0.001,0.004,0.011,0.024,0.044,0.065,0.08,0.086,0.082,0.074,0.066,0.062,0.061,0.059,0.053,0.041,0.027,0.014,0.006,0.003,0.006,0.015,0.029,0.046,0.061,0.071,0.076,0.079,0.08,0.078,0.069,0.054,0.035,0.021,0.016,0.023,0.04,0.06,0.078,0.088,0.088,0.085,0.081,0.079,0.076,0.071,0.061,0.049,0.037,0.028,0.023,0.024,0.033,0.048,0.065,0.079,0.087,0.089,0.085,0.078,0.072,0.067,0.065,0.064,0.063,0.059,0.051,0.045,0.043,0.048,0.057,0.066,0.07,0.072,0.07,0.065,0.058,0.048,0.036,0.023,0.013,0.006,0.002,0.001,0.001,0.003,0.008,0.014,0.023,0.032,0.04,0.046,0.049,0.051,0.053,0.054,0.054,0.054,0.052,0.047,0.039,0.029,0.019,0.015,0.018,0.029,0.041,0.051,0.055,0.057,0.057,0.055,0.052,0.046,0.04,0.036,0.033,0.032,0.034,0.037,0.039,0.037,0.029,0.018,0.01,0.008,0.016,0.031,0.048,0.058,0.056,0.042,0.025,0.011,0.005,0.005,0.01,0.02,0.034,0.046,0.053,0.05,0.041,0.032,0.029,0.036,0.051,0.067,0.081,0.087,0.086,0.076,0.057,0.036,0.018,0.007,0.003,0.002,0.006,0.013,0.023,0.032,0.037,0.035,0.028,0.019,0.011,0.005,0.002,0.001,0.001,0.001,0.001,0.004,0.009,0.019,0.031,0.042,0.051,0.056,0.056,0.054,0.048,0.042,0.039,0.044,0.056,0.068,0.076,0.077,0.075,0.07,0.062,0.05,0.034,0.019,0.008,0.003,0.004,0.009,0.017,0.028,0.04,0.052,0.062,0.068,0.068,0.063,0.055,0.044,0.032,0.02,0.011,0.006,0.007,0.015,0.028,0.045,0.06,0.07,0.071,0.065,0.057,0.051,0.049,0.052,0.057,0.06,0.059,0.056,0.052,0.049,0.045,0.04,0.031,0.021,0.011,0.005,0.004,0.009,0.018,0.029,0.039,0.044,0.043,0.04,0.036,0.031,0.024,0.017,0.015,0.022,0.037,0.053,0.061,0.055,0.039,0.022,0.011,0.007,0.006,0.006,0.005,0.004,0.003,0.005,0.011,0.024,0.039,0.051,0.053,0.044,0.029,0.016,0.011,0.015,0.026,0.04,0.052,0.062,0.071,0.081,0.091,0.092,0.081,0.059,0.034,0.015,0.005,0.002,0.002,0.004,0.008,0.015,0.025,0.035,0.041,0.044,0.044,0.045,0.048,0.052,0.058,0.063,0.067,0.067,0.059,0.046,0.029,0.015,0.006,0.002,0.001,0.002,0.006,0.02,0.054,0.113,0.19,0.26,0.297,0.28,0.221,0.148,0.088,0.051,0.031,0.02,0.012,0.006,0.003,0.002,0.002,0.004,0.011,0.025,0.044,0.064,0.081,0.093,0.1,0.104,0.102,0.097,0.089,0.08,0.071,0.062,0.054,0.049,0.046,0.045,0.043,0.037,0.027,0.016,0.007,0.003,0.001,0.002,0.008,0.019,0.036,0.052,0.059,0.054,0.039,0.025,0.021,0.032,0.053,0.075,0.089,0.087,0.073,0.053,0.033,0.017,0.008,0.004,0.006,0.013,0.028,0.046,0.064,0.078,0.09,0.103,0.115,0.125,0.132,0.138,0.142,0.139,0.12,0.087,0.051,0.024,0.008,0.002,0.003,0.007,0.017,0.032,0.049,0.066,0.081,0.092,0.1,0.105,0.103,0.096,0.086,0.077,0.072,0.071,0.075,0.079,0.08,0.077,0.072,0.067,0.064,0.06,0.052,0.041,0.028,0.015,0.007,0.004,0.007,0.017,0.035,0.056,0.073,0.082,0.082,0.079,0.076,0.077,0.084,0.094,0.104,0.106,0.1,0.087,0.074,0.063,0.054,0.044,0.032,0.021,0.016,0.019,0.034,0.055,0.079,0.1,0.115,0.121,0.118,0.104,0.079,0.051,0.031,0.03,0.05,0.084,0.116,0.128,0.113,0.08,0.045,0.02,0.007,0.003,0.006,0.012,0.022,0.035,0.049,0.061,0.067,0.066,0.063,0.063,0.069,0.077,0.08,0.072,0.055,0.035,0.019,0.013,0.018,0.032,0.05,0.066,0.075,0.078,0.078,0.082,0.087,0.091,0.09,0.086,0.083,0.082,0.082,0.079,0.072,0.065,0.062,0.062,0.064,0.061,0.051,0.037,0.021,0.01,0.005,0.006,0.012,0.021,0.028,0.03,0.026,0.018,0.01,0.005,0.002,0.002,0.004,0.011,0.024,0.041,0.057,0.066,0.064,0.052,0.035,0.021,0.016,0.024,0.045,0.071,0.095,0.107,0.106,0.096,0.088,0.085,0.086,0.083,0.072,0.056,0.042,0.036,0.04,0.049,0.056,0.061,0.068,0.077,0.084,0.084,0.077,0.069,0.066,0.068,0.07,0.066,0.061,0.06,0.069,0.085,0.095,0.089,0.067,0.041,0.025,0.026,0.041,0.059,0.069,0.065,0.05,0.032,0.02,0.024,0.046,0.081,0.118,0.137,0.13,0.102,0.068,0.046,0.04,0.046,0.057,0.066,0.072,0.075,0.071,0.058,0.039,0.022,0.01,0.005,0.006,0.013,0.028,0.047,0.066,0.08,0.088,0.093,0.098,0.108,0.119,0.129,0.13,0.121,0.101,0.075,0.05,0.033,0.027,0.031,0.044,0.067,0.1,0.139,0.169,0.173,0.145,0.098,0.053,0.022,0.01,0.011,0.025,0.051,0.085,0.115,0.126,0.112,0.082,0.05,0.028,0.017,0.012,0.01,0.008,0.007,0.007,0.006,0.005,0.004,0.004,0.007,0.011,0.018,0.026,0.034,0.039,0.038,0.032,0.024,0.017,0.013,0.012,0.011,0.01,0.008,0.009,0.014,0.023,0.032,0.036,0.033,0.024,0.014,0.006,0.004,0.004,0.008,0.013,0.019,0.023,0.023,0.02,0.015,0.01,0.007,0.009,0.021,0.044,0.072,0.093,0.094,0.076,0.049,0.028,0.016,0.013,0.014,0.02,0.032,0.056,0.091,0.132,0.166,0.18,0.174,0.152,0.12,0.084,0.052,0.031,0.025,0.033,0.049,0.067,0.081,0.091,0.093,0.088,0.074,0.054,0.034,0.019,0.01,0.007,0.009,0.019,0.036,0.056,0.07,0.072,0.061,0.043,0.026,0.015,0.011,0.017,0.031,0.051,0.072,0.086,0.09,0.085,0.075,0.065,0.057,0.052,0.047,0.041,0.032,0.022,0.012,0.006,0.002,0.003,0.007,0.02,0.045,0.08,0.119,0.151,0.167,0.166,0.153,0.135,0.118,0.105,0.096,0.091,0.089,0.086,0.082,0.078,0.077,0.081,0.087,0.088,0.081,0.066,0.047,0.029,0.015,0.007,0.006,0.013,0.028,0.048,0.071,0.089,0.099,0.102,0.099,0.093,0.084,0.074,0.065,0.056,0.046,0.034,0.021,0.012,0.01,0.017,0.03,0.043,0.048,0.043,0.029,0.016,0.012,0.021,0.045,0.078,0.109,0.124,0.115,0.087,0.054,0.027,0.011,0.004,0.004,0.009,0.024,0.048,0.076,0.095,0.095,0.076,0.048,0.024,0.01,0.004,0.005,0.014,0.034,0.071,0.123,0.173,0.203,0.196,0.155,0.099,0.055,0.038,0.051,0.079,0.102,0.105,0.084,0.053,0.026,0.01,0.005,0.006,0.013,0.026,0.043,0.061,0.075,0.085,0.094,0.103,0.113,0.125,0.132,0.132,0.124,0.114,0.105,0.098,0.091,0.083,0.078,0.075,0.077,0.085,0.104,0.129,0.15,0.152,0.133,0.1,0.068,0.048,0.047,0.069,0.104,0.136,0.146,0.128,0.091,0.056,0.037,0.045,0.08,0.128,0.168,0.179,0.155,0.111,0.066,0.033,0.016,0.017,0.036,0.073,0.118,0.154,0.163,0.144,0.109,0.08,0.072,0.084,0.102,0.108,0.097,0.076,0.059,0.051,0.051,0.049,0.041,0.03,0.022,0.022,0.031,0.048,0.064,0.071,0.068,0.056,0.043,0.039,0.05,0.074,0.103,0.119,0.113,0.089,0.062,0.045,0.041,0.045,0.046,0.042,0.035,0.033,0.038,0.046,0.047,0.039,0.026,0.016,0.014,0.024,0.046,0.072,0.091,0.094,0.079,0.055,0.031,0.015,0.007,0.004,0.007,0.019,0.044,0.081,0.122,0.157,0.175,0.174,0.162,0.149,0.144,0.151,0.173,0.201,0.224,0.224,0.198,0.159,0.129,0.118,0.122,0.13,0.138,0.141,0.138,0.13,0.117,0.1,0.08,0.058,0.036,0.02,0.011,0.008,0.007,0.006,0.005,0.004,0.008,0.02,0.039,0.063,0.084,0.097,0.097,0.09,0.079,0.069,0.056,0.042,0.029,0.023,0.03,0.055,0.097,0.152,0.208,0.245,0.25,0.225,0.186,0.156,0.143,0.141,0.138,0.131,0.122,0.114,0.107,0.101,0.1,0.107,0.118,0.127,0.128,0.119,0.099,0.073,0.047,0.029,0.02,0.021,0.031,0.048,0.068,0.084,0.086,0.074,0.055,0.039,0.033,0.037,0.043,0.043,0.037,0.028,0.024,0.03,0.041,0.051,0.05,0.04,0.025,0.015,0.015,0.026,0.044,0.058,0.062,0.055,0.039,0.023,0.012,0.006,0.006,0.013,0.026,0.04,0.05,0.05,0.041,0.028,0.02,0.02,0.029,0.042,0.05,0.049,0.04,0.027,0.018,0.023,0.045,0.083,0.125,0.154,0.157,0.133,0.096,0.06,0.039,0.039,0.058,0.086,0.106,0.106,0.086,0.058,0.038,0.032,0.037,0.045,0.046,0.04,0.028,0.018,0.014,0.018,0.033,0.057,0.086,0.115,0.14,0.161,0.181,0.204,0.231,0.256,0.266,0.247,0.198,0.138,0.094,0.084,0.104,0.139,0.175,0.205,0.228,0.238,0.23,0.202,0.162,0.124,0.1,0.094,0.103,0.115,0.118,0.106,0.08,0.051,0.033,0.028,0.034,0.041,0.043,0.038,0.027,0.018,0.014,0.014,0.016,0.018,0.018,0.02,0.031,0.051,0.078,0.101,0.107,0.094,0.069,0.043,0.027,0.027,0.044,0.076,0.114,0.147,0.17,0.182,0.187,0.183,0.169,0.147,0.12,0.091,0.064,0.04,0.024,0.016,0.014,0.015,0.02,0.036,0.069,0.113,0.152,0.17,0.164,0.145,0.125,0.11,0.098,0.088,0.085,0.096,0.121,0.145,0.147,0.125,0.089,0.061,0.048,0.042,0.035,0.024,0.014,0.009,0.013,0.03,0.054,0.078,0.089,0.082,0.06,0.035,0.018,0.012,0.019,0.036,0.06,0.081,0.093,0.088,0.071,0.05,0.037,0.039,0.055,0.081,0.108,0.129,0.137,0.135,0.132,0.136,0.15,0.166,0.175,0.175,0.173,0.168,0.156,0.129,0.091,0.052,0.024,0.01,0.007,0.011,0.019,0.028,0.033,0.032,0.026,0.019,0.015,0.013,0.011,0.009,0.01,0.02,0.043,0.078,0.112,0.129,0.12,0.089,0.055,0.033,0.035,0.06,0.096,0.122,0.123,0.098,0.061,0.031,0.019,0.026,0.05,0.089,0.133,0.173,0.196,0.206,0.21,0.218,0.225,0.218,0.185,0.133,0.078,0.039,0.021,0.022,0.031,0.043,0.056,0.073,0.095,0.114,0.115,0.095,0.064,0.039,0.034,0.05,0.076,0.099,0.112,0.12,0.137,0.164,0.187,0.184,0.152,0.103,0.059,0.035,0.031,0.046,0.07,0.094,0.105,0.096,0.072,0.047,0.033,0.041,0.069,0.107,0.132,0.132,0.105,0.068,0.039,0.031,0.05,0.092,0.141,0.179,0.19,0.17,0.132,0.09,0.063,0.059,0.085,0.134,0.189,0.227,0.232,0.207,0.172,0.151,0.147,0.15,0.139,0.11,0.071,0.038,0.017,0.01,0.012,0.018,0.026,0.032,0.037,0.045,0.063,0.091,0.118,0.133,0.128,0.112,0.097,0.093,0.096,0.097,0.088,0.069,0.046,0.026,0.014,0.012,0.021,0.037,0.055,0.069,0.079,0.092,0.11,0.127,0.135,0.126,0.108,0.089,0.077,0.066,0.054,0.041,0.032,0.031,0.043,0.066,0.093,0.115,0.126,0.128,0.126,0.123,0.123,0.125,0.127,0.12,0.102,0.073,0.045,0.031,0.035,0.05,0.065,0.067,0.056,0.039,0.031,0.035,0.046,0.054,0.05,0.036,0.02,0.008,0.004,0.013,0.047,0.12,0.228,0.339,0.406,0.399,0.325,0.227,0.145,0.109,0.13,0.202,0.298,0.376,0.399,0.359,0.276,0.183,0.107,0.063,0.054,0.078,0.125,0.18,0.218,0.221,0.188,0.133,0.081,0.045,0.026,0.017,0.012,0.011,0.022,0.048,0.092,0.141,0.177,0.188,0.171,0.137,0.098,0.063,0.036,0.018,0.008,0.004,0.002,0.001,0.001,0.002,0.007,0.021,0.052,0.102,0.163,0.215,0.239,0.228,0.186,0.132,0.08,0.042,0.019,0.008,0.004,0.004,0.008,0.022,0.051,0.092,0.137,0.168,0.172,0.148,0.107,0.064,0.032,0.013,0.005,0.002,0.001,0.001,0.001,0.001,0.001,0.005,0.013,0.03,0.054,0.078,0.095,0.099,0.089,0.068,0.044,0.023,0.01,0.004,0.001,0.001,0,0.001,0.002,0.009,0.028,0.064,0.114,0.162,0.189,0.18,0.14,0.09,0.046,0.019,0.006,0.002,0.001,0.002,0.005,0.012,0.021,0.03,0.033,0.029,0.019,0.01,0.006,0.011,0.026,0.051,0.082,0.108,0.124,0.125,0.114,0.093,0.068,0.047,0.038,0.041,0.051,0.062,0.072,0.081,0.089,0.097,0.104,0.11,0.113,0.11,0.098,0.079,0.054,0.03,0.014,0.007,0.011,0.027,0.053,0.083,0.108,0.12,0.115,0.101,0.086,0.078,0.081,0.09,0.096,0.09,0.072,0.046,0.024,0.01,0.006,0.01,0.022,0.039,0.055,0.065,0.07,0.07,0.069,0.066,0.062,0.056,0.052,0.051,0.054,0.061,0.067,0.07,0.067,0.058,0.048,0.041,0.036,0.032,0.03,0.027,0.024,0.02,0.016,0.014,0.015,0.019,0.022,0.023,0.021,0.02,0.02,0.02,0.017,0.013,0.009,0.007,0.006,0.007,0.007,0.006,0.005,0.004,0.004,0.003,0.004,0.008,0.017,0.032,0.049,0.062,0.065,0.056,0.04,0.024,0.014,0.012,0.018,0.029,0.043,0.058,0.071,0.083,0.089,0.089,0.083,0.074,0.065,0.058,0.057,0.059,0.06,0.059,0.055,0.051,0.046,0.04,0.031,0.021,0.011,0.005,0.002,0.003,0.008,0.021,0.041,0.065,0.086,0.096,0.093,0.083,0.07,0.059,0.052,0.048,0.045,0.044,0.047,0.053,0.06,0.065,0.065,0.063,0.059,0.057,0.057,0.055,0.05,0.041,0.03,0.019,0.012,0.009,0.013,0.026,0.046,0.065,0.079,0.084,0.084,0.081,0.077,0.072,0.067,0.063,0.058,0.052,0.042,0.031,0.024,0.025,0.037,0.057,0.077,0.09,0.092,0.087,0.079,0.071,0.063,0.051,0.037,0.022,0.011,0.005,0.005,0.01,0.019,0.031,0.043,0.052,0.056,0.056,0.053,0.05,0.048,0.048,0.048,0.046,0.046,0.046,0.047,0.045,0.038,0.028,0.018,0.009,0.004,0.002,0.002,0.003,0.008,0.015,0.024,0.031,0.037,0.041,0.045,0.048,0.047,0.041,0.03,0.018,0.009,0.005,0.007,0.012,0.02,0.025,0.027,0.023,0.016,0.009,0.004,0.002,0.001,0.001,0.001,0,0,0,0,0,0,0]