[0.05,0.057,0.071,0.086,0.094,0.096,0.096,0.097,0.099,0.097,0.088,0.076,0.069,0.072,0.084,0.096,0.103,0.105,0.105,0.103,0.099,0.096,0.096,0.1,0.103,0.104,0.104,0.113,0.131,0.153,0.166,0.169,0.166,0.163,0.161,0.158,0.15,0.139,0.129,0.124,0.123,0.124,0.125,0.123,0.121,0.119,0.118,0.118,0.118,0.123,0.136,0.151,0.159,0.155,0.142,0.134,0.139,0.155,0.168,0.171,0.165,0.16,0.157,0.155,0.149,0.141,0.128,0.117,0.105,0.095,0.083,0.074,0.074,0.091,0.12,0.146,0.154,0.143,0.129,0.127,0.141,0.157,0.164,0.156,0.137,0.118,0.101,0.087,0.074,0.065,0.06,0.06,0.064,0.069,0.072,0.072,0.071,0.07,0.07,0.072,0.078,0.088,0.097,0.104,0.107,0.107,0.108,0.106,0.1,0.09,0.082,0.077,0.075,0.075,0.074,0.073,0.07,0.065,0.062,0.066,0.082,0.108,0.137,0.16,0.169,0.163,0.146,0.13,0.12,0.118,0.118,0.116,0.111,0.107,0.104,0.106,0.108,0.107,0.099,0.091,0.088,0.092,0.095,0.091,0.078,0.062,0.049,0.04,0.035,0.036,0.045,0.062,0.085,0.104,0.11,0.105,0.098,0.099,0.113,0.13,0.137,0.126,0.102,0.074,0.053,0.044,0.049,0.064,0.082,0.099,0.108,0.11,0.106,0.102,0.1,0.099,0.096,0.087,0.075,0.065,0.06,0.058,0.056,0.052,0.045,0.039,0.038,0.043,0.054,0.064,0.069,0.065,0.056,0.046,0.043,0.046,0.054,0.063,0.073,0.082,0.088,0.089,0.085,0.077,0.07,0.064,0.059,0.056,0.057,0.061,0.067,0.067,0.061,0.051,0.045,0.045,0.052,0.061,0.068,0.075,0.082,0.09,0.093,0.09,0.081,0.071,0.062,0.055,0.05,0.049,0.051,0.054,0.055,0.057,0.063,0.073,0.081,0.08,0.071,0.06,0.048,0.038,0.032,0.03,0.033,0.04,0.049,0.059,0.068,0.077,0.084,0.085,0.081,0.076,0.072,0.071,0.071,0.07,0.069,0.069,0.068,0.066,0.063,0.062,0.064,0.069,0.07,0.067,0.064,0.066,0.072,0.08,0.082,0.077,0.069,0.061,0.054,0.05,0.046,0.044,0.042,0.039,0.039,0.041,0.045,0.047,0.046,0.044,0.044,0.046,0.048,0.047,0.047,0.049,0.052,0.054,0.054,0.056,0.063,0.073,0.084,0.091,0.093,0.089,0.083,0.08,0.085,0.099,0.117,0.13,0.137,0.134,0.125,0.111,0.096,0.081,0.069,0.06,0.055,0.054,0.056,0.057,0.056,0.054,0.052,0.051,0.054,0.06,0.067,0.073,0.075,0.076,0.079,0.083,0.087,0.089,0.089,0.087,0.084,0.082,0.083,0.088,0.096,0.101,0.1,0.094,0.084,0.074,0.066,0.063,0.061,0.06,0.058,0.054,0.048,0.043,0.039,0.034,0.031,0.028,0.028,0.03,0.035,0.045,0.061,0.082,0.101,0.112,0.113,0.107,0.099,0.093,0.088,0.084,0.077,0.069,0.061,0.062,0.069,0.079,0.083,0.081,0.076,0.076,0.078,0.082,0.085,0.085,0.083,0.077,0.07,0.065,0.065,0.071,0.078,0.082,0.082,0.082,0.085,0.089,0.089,0.084,0.073,0.065,0.061,0.064,0.069,0.073,0.074,0.071,0.068,0.065,0.063,0.059,0.054,0.05,0.048,0.049,0.052,0.055,0.055,0.052,0.046,0.044,0.048,0.058,0.068,0.07,0.064,0.055,0.049,0.052,0.061,0.069,0.072,0.067,0.059,0.051,0.045,0.04,0.035,0.03,0.026,0.025,0.026,0.029,0.034,0.04,0.047,0.055,0.063,0.07,0.075,0.074,0.066,0.058,0.055,0.06,0.067,0.072,0.072,0.067,0.061,0.058,0.059,0.064,0.069,0.071,0.067,0.062,0.061,0.066,0.074,0.078,0.076,0.07,0.062,0.055,0.049,0.044,0.043,0.047,0.057,0.07,0.079,0.081,0.074,0.064,0.057,0.056,0.06,0.064,0.065,0.063,0.059,0.055,0.05,0.047,0.048,0.052,0.059,0.065,0.07,0.073,0.075,0.078,0.083,0.089,0.093,0.095,0.094,0.095,0.099,0.103,0.103,0.096,0.083,0.07,0.059,0.056,0.06,0.069,0.077,0.078,0.071,0.063,0.059,0.06,0.066,0.073,0.077,0.075,0.068,0.06,0.053,0.05,0.05,0.052,0.056,0.062,0.07,0.077,0.081,0.08,0.075,0.068,0.062,0.06,0.063,0.067,0.07,0.07,0.066,0.059,0.053,0.051,0.055,0.059,0.062,0.061,0.057,0.052,0.046,0.044,0.046,0.05,0.052,0.051,0.048,0.048,0.053,0.065,0.076,0.084,0.089,0.095,0.104,0.109,0.105,0.089,0.072,0.058,0.052,0.051,0.053,0.057,0.062,0.069,0.075,0.078,0.079,0.076,0.069,0.063,0.058,0.056,0.054,0.052,0.049,0.049,0.052,0.059,0.065,0.065,0.06,0.053,0.048,0.046,0.044,0.044,0.045,0.05,0.054,0.057,0.055,0.05,0.045,0.042,0.043,0.047,0.051,0.052,0.048,0.044,0.04,0.037,0.034,0.032,0.03,0.032,0.038,0.043,0.045,0.042,0.038,0.036,0.04,0.046,0.051,0.054,0.055,0.056,0.062,0.074,0.092,0.115,0.131,0.136,0.128,0.116,0.106,0.1,0.094,0.086,0.075,0.064,0.053,0.044,0.039,0.037,0.039,0.042,0.045,0.045,0.044,0.044,0.049,0.058,0.068,0.077,0.079,0.074,0.066,0.06,0.063,0.074,0.093,0.114,0.133,0.144,0.142,0.126,0.101,0.075,0.054,0.041,0.035,0.034,0.037,0.04,0.041,0.039,0.037,0.038,0.04,0.044,0.048,0.052,0.056,0.062,0.068,0.073,0.073,0.069,0.064,0.059,0.056,0.055,0.057,0.064,0.075,0.084,0.088,0.084,0.074,0.062,0.053,0.048,0.046,0.044,0.042,0.042,0.045,0.053,0.064,0.079,0.092,0.097,0.092,0.078,0.064,0.054,0.052,0.058,0.07,0.081,0.084,0.077,0.064,0.05,0.041,0.038,0.041,0.048,0.058,0.068,0.075,0.082,0.088,0.091,0.088,0.08,0.07,0.058,0.046,0.036,0.031,0.031,0.035,0.04,0.042,0.04,0.04,0.044,0.054,0.066,0.074,0.075,0.071,0.065,0.058,0.052,0.051,0.058,0.07,0.082,0.088,0.087,0.08,0.07,0.06,0.053,0.051,0.055,0.064,0.075,0.082,0.085,0.084,0.083,0.081,0.076,0.067,0.057,0.05,0.046,0.046,0.049,0.054,0.057,0.059,0.057,0.051,0.044,0.043,0.051,0.067,0.081,0.087,0.083,0.074,0.068,0.067,0.069,0.068,0.061,0.049,0.039,0.034,0.036,0.039,0.042,0.041,0.04,0.039,0.041,0.043,0.043,0.041,0.034,0.026,0.021,0.02,0.024,0.03,0.037,0.043,0.045,0.044,0.04,0.033,0.026,0.022,0.023,0.027,0.032,0.036,0.039,0.043,0.045,0.048,0.051,0.058,0.065,0.072,0.08,0.087,0.092,0.091,0.083,0.072,0.063,0.06,0.06,0.061,0.063,0.066,0.069,0.072,0.074,0.078,0.081,0.08,0.074,0.063,0.052,0.042,0.037,0.035,0.036,0.043,0.055,0.069,0.079,0.081,0.075,0.066,0.059,0.056,0.058,0.065,0.076,0.086,0.088,0.082,0.071,0.06,0.053,0.047,0.043,0.04,0.042,0.048,0.056,0.062,0.063,0.06,0.055,0.051,0.048,0.048,0.049,0.054,0.06,0.065,0.066,0.062,0.055,0.047,0.037,0.03,0.026,0.029,0.038,0.049,0.058,0.062,0.059,0.051,0.044,0.041,0.044,0.051,0.056,0.058,0.057,0.055,0.054,0.05,0.043,0.036,0.03,0.027,0.028,0.032,0.035,0.038,0.039,0.04,0.041,0.046,0.052,0.056,0.058,0.056,0.053,0.053,0.058,0.067,0.075,0.075,0.066,0.055,0.048,0.053,0.067,0.086,0.098,0.101,0.092,0.078,0.063,0.053,0.049,0.052,0.058,0.063,0.064,0.06,0.053,0.048,0.05,0.06,0.076,0.09,0.097,0.094,0.089,0.084,0.078,0.068,0.056,0.049,0.049,0.056,0.064,0.071,0.073,0.071,0.067,0.062,0.058,0.055,0.053,0.049,0.046,0.044,0.046,0.051,0.056,0.058,0.058,0.056,0.056,0.057,0.062,0.069,0.077,0.08,0.075,0.064,0.055,0.051,0.052,0.053,0.052,0.049,0.048,0.048,0.048,0.045,0.039,0.033,0.026,0.022,0.02,0.023,0.033,0.048,0.065,0.076,0.076,0.067,0.057,0.052,0.054,0.062,0.072,0.079,0.081,0.078,0.072,0.066,0.065,0.066,0.067,0.063,0.055,0.046,0.039,0.035,0.033,0.032,0.031,0.03,0.027,0.024,0.024,0.028,0.035,0.042,0.045,0.044,0.041,0.039,0.04,0.045,0.055,0.064,0.07,0.073,0.075,0.078,0.084,0.085,0.08,0.068,0.054,0.044,0.04,0.041,0.045,0.051,0.055,0.056,0.054,0.051,0.048,0.045,0.042,0.04,0.041,0.043,0.044,0.043,0.042,0.043,0.048,0.054,0.058,0.056,0.051,0.045,0.041,0.04,0.041,0.04,0.036,0.032,0.03,0.031,0.034,0.037,0.039,0.038,0.038,0.04,0.046,0.053,0.056,0.052,0.045,0.037,0.033,0.033,0.038,0.044,0.048,0.05,0.049,0.047,0.044,0.037,0.029,0.02,0.015,0.015,0.019,0.025,0.03,0.032,0.031,0.029,0.028,0.028,0.031,0.033,0.036,0.038,0.041,0.044,0.045,0.043,0.039,0.036,0.037,0.042,0.048,0.051,0.052,0.05,0.048,0.047,0.045,0.042,0.04,0.041,0.044,0.048,0.049,0.049,0.048,0.048,0.049,0.049,0.049,0.05,0.057,0.07,0.085,0.094,0.092,0.083,0.071,0.062,0.057,0.058,0.064,0.072,0.077,0.074,0.065,0.056,0.05,0.048,0.046,0.043,0.039,0.037,0.038,0.043,0.053,0.067,0.08,0.085,0.076,0.059,0.043,0.039,0.047,0.062,0.078,0.09,0.095,0.091,0.079,0.062,0.047,0.037,0.036,0.038,0.041,0.041,0.04,0.042,0.049,0.061,0.07,0.073,0.068,0.063,0.06,0.062,0.067,0.069,0.067,0.063,0.056,0.049,0.042,0.038,0.039,0.045,0.054,0.062,0.068,0.072,0.077,0.086,0.099,0.112,0.117,0.111,0.095,0.078,0.064,0.053,0.044,0.04,0.042,0.055,0.075,0.095,0.105,0.103,0.093,0.085,0.084,0.09,0.099,0.108,0.113,0.113,0.106,0.095,0.081,0.066,0.054,0.052,0.059,0.072,0.083,0.085,0.08,0.071,0.062,0.056,0.054,0.054,0.054,0.051,0.046,0.041,0.038,0.037,0.038,0.037,0.036,0.037,0.041,0.048,0.056,0.061,0.06,0.055,0.05,0.048,0.051,0.056,0.059,0.059,0.058,0.06,0.067,0.077,0.082,0.08,0.07,0.06,0.052,0.045,0.041,0.039,0.041,0.047,0.054,0.059,0.062,0.06,0.054,0.047,0.045,0.048,0.054,0.06,0.061,0.057,0.049,0.04,0.032,0.028,0.029,0.036,0.045,0.053,0.057,0.059,0.061,0.065,0.068,0.068,0.064,0.057,0.05,0.044,0.039,0.037,0.038,0.04,0.042,0.043,0.044,0.045,0.046,0.047,0.047,0.044,0.043,0.044,0.048,0.054,0.058,0.057,0.055,0.052,0.05,0.051,0.055,0.06,0.062,0.058,0.048,0.037,0.031,0.033,0.041,0.049,0.053,0.053,0.049,0.046,0.045,0.045,0.047,0.05,0.053,0.055,0.055,0.052,0.047,0.041,0.037,0.034,0.031,0.027,0.023,0.021,0.021,0.024,0.027,0.03,0.036,0.044,0.054,0.065,0.072,0.072,0.067,0.059,0.053,0.05,0.049,0.05,0.049,0.046,0.043,0.039,0.035,0.033,0.032,0.033,0.034,0.035,0.036,0.037,0.037,0.037,0.037,0.039,0.045,0.054,0.061,0.063,0.062,0.062,0.065,0.07,0.075,0.077,0.076,0.073,0.068,0.062,0.053,0.043,0.037,0.035,0.035,0.037,0.037,0.037,0.034,0.029,0.023,0.019,0.017,0.017,0.017,0.018,0.018,0.02,0.022,0.024,0.025,0.027,0.03,0.036,0.043,0.049,0.05,0.049,0.049,0.051,0.056,0.061,0.064,0.066,0.067,0.07,0.075,0.078,0.078,0.075,0.071,0.068,0.065,0.061,0.054,0.047,0.042,0.04,0.039,0.037,0.035,0.033,0.032,0.033,0.035,0.04,0.048,0.055,0.062,0.067,0.074,0.082,0.086,0.082,0.071,0.06,0.052,0.049,0.049,0.053,0.058,0.064,0.07,0.075,0.077,0.077,0.074,0.067,0.056,0.046,0.04,0.039,0.042,0.046,0.05,0.054,0.057,0.058,0.056,0.051,0.048,0.049,0.051,0.051,0.049,0.046,0.043,0.043,0.044,0.045,0.046,0.045,0.041,0.038,0.034,0.032,0.029,0.025,0.02,0.019,0.021,0.026,0.031,0.032,0.03,0.027,0.024,0.023,0.023,0.025,0.027,0.029,0.032,0.039,0.048,0.056,0.057,0.053,0.046,0.042,0.041,0.041,0.042,0.045,0.049,0.053,0.055,0.052,0.049,0.047,0.05,0.057,0.066,0.076,0.082,0.085,0.082,0.075,0.065,0.056,0.049,0.046,0.045,0.046,0.047,0.046,0.043,0.04,0.039,0.041,0.044,0.044,0.041,0.037,0.036,0.036,0.037,0.036,0.035,0.033,0.032,0.033,0.035,0.038,0.041,0.044,0.048,0.05,0.048,0.04,0.032,0.029,0.034,0.048,0.063,0.075,0.079,0.076,0.069,0.062,0.055,0.049,0.045,0.041,0.04,0.039,0.038,0.037,0.035,0.034,0.035,0.035,0.034,0.033,0.032,0.032,0.033,0.032,0.03,0.027,0.025,0.029,0.037,0.048,0.054,0.054,0.048,0.042,0.039,0.042,0.049,0.061,0.079,0.099,0.115,0.118,0.106,0.084,0.061,0.044,0.035,0.033,0.035,0.039,0.043,0.048,0.051,0.051,0.048,0.045,0.045,0.049,0.053,0.054,0.053,0.051,0.047,0.043,0.037,0.035,0.037,0.041,0.046,0.051,0.058,0.066,0.073,0.074,0.069,0.064,0.067,0.076,0.085,0.086,0.078,0.068,0.062,0.06,0.06,0.059,0.059,0.062,0.067,0.077,0.086,0.092,0.09,0.081,0.068,0.06,0.058,0.06,0.061,0.058,0.053,0.051,0.054,0.059,0.065,0.067,0.066,0.064,0.062,0.062,0.062,0.062,0.062,0.061,0.062,0.065,0.068,0.071,0.071,0.07,0.071,0.074,0.082,0.095,0.113,0.129,0.136,0.127,0.105,0.08,0.061,0.051,0.049,0.049,0.046,0.043,0.044,0.05,0.059,0.068,0.072,0.074,0.074,0.072,0.068,0.062,0.056,0.054,0.053,0.051,0.048,0.049,0.057,0.069,0.075,0.072,0.059,0.046,0.038,0.038,0.043,0.051,0.057,0.06,0.058,0.051,0.043,0.038,0.038,0.043,0.047,0.049,0.047,0.043,0.039,0.037,0.038,0.041,0.046,0.052,0.057,0.057,0.051,0.04,0.03,0.026,0.03,0.04,0.051,0.064,0.076,0.086,0.095,0.102,0.109,0.119,0.131,0.137,0.131,0.112,0.091,0.075,0.069,0.069,0.069,0.066,0.059,0.051,0.042,0.035,0.03,0.027,0.027,0.027,0.026,0.023,0.019,0.016,0.016,0.022,0.035,0.053,0.073,0.09,0.1,0.103,0.096,0.08,0.061,0.046,0.036,0.033,0.032,0.036,0.045,0.057,0.071,0.081,0.082,0.076,0.065,0.056,0.05,0.046,0.042,0.039,0.038,0.039,0.043,0.051,0.063,0.081,0.099,0.113,0.122,0.132,0.149,0.172,0.187,0.185,0.162,0.13,0.098,0.073,0.057,0.047,0.041,0.037,0.036,0.035,0.035,0.033,0.031,0.029,0.03,0.035,0.044,0.057,0.074,0.092,0.105,0.108,0.099,0.086,0.077,0.078,0.09,0.107,0.125,0.135,0.132,0.115,0.091,0.068,0.055,0.052,0.055,0.057,0.053,0.045,0.038,0.036,0.04,0.045,0.048,0.048,0.047,0.046,0.05,0.057,0.066,0.071,0.07,0.063,0.057,0.055,0.057,0.06,0.058,0.052,0.044,0.041,0.044,0.052,0.06,0.064,0.062,0.055,0.047,0.039,0.032,0.027,0.028,0.035,0.048,0.061,0.073,0.079,0.078,0.07,0.059,0.048,0.041,0.037,0.034,0.031,0.028,0.025,0.027,0.037,0.058,0.089,0.121,0.143,0.149,0.139,0.121,0.101,0.086,0.075,0.07,0.069,0.071,0.075,0.078,0.078,0.074,0.064,0.051,0.041,0.038,0.043,0.053,0.062,0.071,0.08,0.089,0.095,0.093,0.081,0.064,0.048,0.038,0.035,0.038,0.04,0.041,0.042,0.045,0.053,0.065,0.075,0.078,0.072,0.058,0.044,0.038,0.039,0.045,0.05,0.058,0.08,0.121,0.173,0.208,0.208,0.174,0.128,0.088,0.061,0.044,0.036,0.036,0.043,0.055,0.065,0.074,0.079,0.085,0.092,0.103,0.115,0.124,0.128,0.127,0.12,0.112,0.102,0.091,0.083,0.083,0.092,0.104,0.112,0.11,0.101,0.089,0.079,0.072,0.067,0.061,0.054,0.05,0.05,0.054,0.057,0.059,0.059,0.061,0.07,0.09,0.118,0.145,0.156,0.145,0.117,0.086,0.063,0.05,0.045,0.041,0.037,0.036,0.039,0.049,0.06,0.064,0.06,0.048,0.035,0.029,0.029,0.033,0.034,0.031,0.025,0.021,0.024,0.035,0.051,0.066,0.073,0.071,0.064,0.056,0.054,0.061,0.074,0.086,0.088,0.08,0.068,0.062,0.067,0.078,0.087,0.089,0.084,0.073,0.058,0.045,0.035,0.032,0.035,0.041,0.047,0.051,0.051,0.046,0.041,0.039,0.042,0.049,0.053,0.052,0.046,0.041,0.044,0.058,0.082,0.104,0.113,0.107,0.092,0.076,0.065,0.061,0.062,0.071,0.09,0.116,0.14,0.15,0.141,0.121,0.098,0.082,0.081,0.094,0.116,0.138,0.152,0.16,0.165,0.165,0.154,0.133,0.113,0.109,0.12,0.136,0.145,0.146,0.145,0.141,0.129,0.107,0.079,0.058,0.046,0.044,0.045,0.046,0.045,0.043,0.042,0.042,0.044,0.048,0.053,0.06,0.067,0.072,0.074,0.072,0.071,0.072,0.078,0.089,0.099,0.11,0.118,0.125,0.128,0.128,0.128,0.128,0.124,0.111,0.092,0.077,0.073,0.085,0.107,0.13,0.146,0.15,0.144,0.13,0.113,0.096,0.087,0.088,0.098,0.108,0.109,0.102,0.093,0.094,0.103,0.115,0.121,0.119,0.111,0.104,0.101,0.1,0.1,0.103,0.116,0.147,0.197,0.253,0.288,0.29,0.264,0.237,0.227,0.239,0.265,0.296,0.324,0.342,0.346,0.332,0.303,0.265,0.225,0.194,0.178,0.18,0.194,0.208,0.209,0.19,0.155,0.114,0.081,0.061,0.055,0.061,0.074,0.092,0.117,0.159,0.219,0.285,0.327,0.328,0.288,0.236,0.194,0.171,0.156,0.145,0.141,0.152,0.174,0.197,0.205,0.195,0.172,0.147,0.124,0.105,0.091,0.079,0.071,0.067,0.067,0.073,0.088,0.115,0.151,0.195,0.237,0.276,0.307,0.334,0.357,0.376,0.378,0.354,0.298,0.227,0.162,0.12,0.103,0.101,0.104,0.104,0.102,0.096,0.089,0.081,0.072,0.065,0.058,0.052,0.047,0.044,0.042,0.04,0.04,0.042,0.048,0.054,0.059,0.061,0.061,0.063,0.067,0.074,0.077,0.075,0.065,0.053,0.043,0.038,0.039,0.043,0.046,0.043,0.034,0.024,0.02,0.028,0.058,0.108,0.169,0.216,0.229,0.202,0.152,0.1,0.06,0.036,0.023,0.018,0.015,0.015,0.015,0.015,0.015,0.016,0.018,0.021,0.024,0.025,0.023,0.019,0.015,0.013,0.012,0.013,0.016,0.021,0.032,0.047,0.066,0.081,0.088,0.088,0.085,0.084,0.084,0.077,0.064,0.048,0.034,0.026,0.023,0.021,0.02,0.018,0.017,0.016,0.015,0.013,0.012,0.01,0.01,0.01,0.011,0.014,0.018,0.022,0.025,0.029,0.036,0.043,0.048,0.049,0.048,0.047,0.047,0.049,0.052,0.058,0.065,0.069,0.07,0.066,0.062,0.06,0.059,0.06,0.062,0.062,0.06,0.053,0.046,0.041,0.038,0.038,0.038,0.04,0.042,0.043,0.044,0.043,0.043,0.044,0.045,0.045,0.043,0.039,0.035,0.031,0.028,0.027,0.028,0.028,0.029,0.028,0.026,0.023,0.022,0.019,0.017,0.014,0.011,0.01]