[0.017,0.017,0.018,0.019,0.018,0.018,0.019,0.019,0.019,0.018,0.017,0.016,0.016,0.015,0.015,0.016,0.017,0.017,0.017,0.017,0.016,0.016,0.016,0.016,0.016,0.016,0.016,0.016,0.016,0.018,0.019,0.021,0.022,0.022,0.023,0.022,0.022,0.021,0.021,0.023,0.024,0.026,0.026,0.026,0.027,0.028,0.029,0.028,0.026,0.023,0.021,0.02,0.02,0.021,0.023,0.027,0.029,0.03,0.03,0.027,0.024,0.021,0.02,0.02,0.022,0.024,0.024,0.023,0.021,0.018,0.016,0.015,0.014,0.015,0.016,0.017,0.016,0.016,0.016,0.016,0.016,0.017,0.018,0.02,0.023,0.027,0.034,0.045,0.057,0.067,0.069,0.061,0.047,0.033,0.023,0.019,0.019,0.021,0.023,0.024,0.024,0.021,0.018,0.015,0.014,0.014,0.016,0.018,0.02,0.022,0.023,0.023,0.024,0.024,0.023,0.021,0.019,0.018,0.019,0.021,0.022,0.022,0.021,0.019,0.017,0.015,0.014,0.013,0.013,0.015,0.016,0.018,0.02,0.02,0.019,0.016,0.015,0.015,0.016,0.016,0.016,0.016,0.019,0.026,0.036,0.042,0.042,0.037,0.03,0.025,0.023,0.024,0.025,0.025,0.025,0.025,0.024,0.024,0.026,0.03,0.036,0.04,0.042,0.04,0.037,0.035,0.034,0.032,0.03,0.027,0.025,0.025,0.028,0.03,0.031,0.029,0.026,0.025,0.027,0.03,0.032,0.032,0.03,0.03,0.03,0.032,0.034,0.036,0.037,0.038,0.037,0.034,0.029,0.025,0.022,0.021,0.022,0.026,0.03,0.035,0.039,0.043,0.045,0.046,0.043,0.039,0.032,0.025,0.019,0.016,0.015,0.016,0.017,0.017,0.016,0.015,0.014,0.014,0.014,0.014,0.014,0.015,0.016,0.016,0.017,0.017,0.017,0.018,0.02,0.023,0.024,0.025,0.025,0.026,0.027,0.027,0.024,0.021,0.017,0.015,0.014,0.015,0.018,0.022,0.026,0.028,0.027,0.024,0.021,0.018,0.017,0.017,0.019,0.021,0.022,0.021,0.02,0.02,0.021,0.024,0.026,0.026,0.024,0.022,0.022,0.023,0.024,0.025,0.024,0.023,0.022,0.021,0.021,0.021,0.021,0.02,0.019,0.018,0.016,0.016,0.017,0.019,0.02,0.019,0.017,0.013,0.01,0.007,0.005,0.004,0.005,0.006,0.008,0.01,0.012,0.015,0.017,0.018,0.018,0.017,0.016,0.016,0.015,0.015,0.014,0.013,0.012,0.011,0.012,0.013,0.015,0.017,0.017,0.016,0.014,0.013,0.012,0.013,0.014,0.015,0.015,0.014,0.014,0.015,0.018,0.022,0.025,0.025,0.023,0.02,0.018,0.018,0.019,0.02,0.021,0.021,0.021,0.02,0.019,0.018,0.017,0.016,0.015,0.014,0.014,0.015,0.016,0.017,0.018,0.018,0.018,0.019,0.02,0.022,0.022,0.021,0.02,0.02,0.02,0.02,0.019,0.019,0.02,0.022,0.024,0.024,0.021,0.018,0.015,0.014,0.013,0.013,0.013,0.014,0.015,0.017,0.019,0.019,0.019,0.019,0.018,0.017,0.016,0.015,0.014,0.014,0.013,0.013,0.013,0.014,0.015,0.017,0.018,0.019,0.018,0.017,0.016,0.016,0.017,0.018,0.019,0.02,0.022,0.024,0.027,0.03,0.032,0.032,0.029,0.025,0.02,0.016,0.013,0.012,0.013,0.016,0.02,0.022,0.023,0.023,0.024,0.027,0.03,0.03,0.028,0.024,0.02,0.018,0.018,0.021,0.023,0.025,0.025,0.024,0.022,0.022,0.021,0.021,0.021,0.021,0.02,0.02,0.02,0.018,0.017,0.016,0.017,0.019,0.021,0.022,0.022,0.021,0.02,0.021,0.023,0.024,0.023,0.022,0.021,0.02,0.019,0.019,0.017,0.015,0.014,0.014,0.015,0.016,0.017,0.018,0.017,0.016,0.013,0.01,0.008,0.007,0.007,0.007,0.008,0.008,0.008,0.008,0.009,0.009,0.011,0.014,0.018,0.024,0.029,0.03,0.027,0.022,0.018,0.015,0.014,0.014,0.014,0.015,0.017,0.018,0.019,0.019,0.018,0.016,0.015,0.014,0.016,0.019,0.021,0.023,0.023,0.022,0.021,0.019,0.019,0.019,0.021,0.024,0.027,0.027,0.025,0.021,0.017,0.015,0.016,0.019,0.025,0.032,0.036,0.037,0.033,0.027,0.021,0.017,0.016,0.015,0.015,0.015,0.015,0.015,0.016,0.017,0.018,0.018,0.017,0.016,0.016,0.017,0.019,0.021,0.022,0.022,0.022,0.022,0.022,0.022,0.021,0.021,0.021,0.022,0.023,0.023,0.023,0.024,0.026,0.028,0.032,0.036,0.038,0.036,0.03,0.023,0.017,0.013,0.011,0.011,0.012,0.014,0.017,0.019,0.019,0.019,0.02,0.02,0.02,0.019,0.018,0.018,0.019,0.02,0.02,0.018,0.016,0.016,0.016,0.016,0.016,0.015,0.014,0.012,0.011,0.009,0.008,0.008,0.008,0.008,0.009,0.011,0.012,0.013,0.014,0.016,0.02,0.023,0.026,0.027,0.027,0.027,0.027,0.028,0.027,0.025,0.022,0.019,0.016,0.015,0.015,0.016,0.017,0.017,0.016,0.015,0.014,0.013,0.013,0.013,0.013,0.012,0.012,0.013,0.013,0.014,0.015,0.018,0.021,0.025,0.027,0.029,0.029,0.029,0.027,0.024,0.02,0.017,0.015,0.014,0.014,0.013,0.013,0.012,0.011,0.011,0.011,0.013,0.015,0.017,0.019,0.02,0.019,0.019,0.018,0.019,0.019,0.019,0.018,0.017,0.017,0.018,0.018,0.018,0.018,0.018,0.019,0.02,0.022,0.022,0.021,0.019,0.018,0.018,0.018,0.018,0.017,0.016,0.016,0.017,0.021,0.025,0.028,0.028,0.025,0.021,0.017,0.015,0.015,0.015,0.016,0.016,0.016,0.017,0.018,0.02,0.021,0.023,0.026,0.029,0.03,0.03,0.028,0.025,0.024,0.026,0.031,0.038,0.043,0.044,0.041,0.036,0.031,0.027,0.025,0.024,0.025,0.026,0.024,0.021,0.017,0.013,0.011,0.011,0.012,0.013,0.015,0.018,0.02,0.021,0.022,0.023,0.023,0.024,0.023,0.022,0.02,0.018,0.017,0.018,0.02,0.022,0.025,0.026,0.027,0.027,0.025,0.022,0.019,0.018,0.018,0.02,0.024,0.028,0.032,0.033,0.033,0.031,0.028,0.023,0.019,0.017,0.017,0.02,0.024,0.029,0.031,0.031,0.029,0.026,0.024,0.021,0.019,0.016,0.014,0.013,0.012,0.012,0.013,0.015,0.017,0.02,0.024,0.027,0.029,0.029,0.027,0.024,0.022,0.022,0.024,0.027,0.028,0.027,0.023,0.02,0.02,0.023,0.03,0.036,0.04,0.04,0.037,0.031,0.026,0.022,0.019,0.018,0.019,0.021,0.022,0.023,0.021,0.019,0.016,0.016,0.018,0.022,0.026,0.029,0.03,0.031,0.031,0.029,0.025,0.021,0.019,0.018,0.018,0.02,0.021,0.022,0.022,0.022,0.022,0.024,0.027,0.029,0.029,0.027,0.023,0.021,0.02,0.021,0.023,0.024,0.025,0.026,0.027,0.028,0.028,0.026,0.023,0.02,0.018,0.017,0.017,0.017,0.018,0.018,0.019,0.02,0.021,0.021,0.02,0.018,0.017,0.017,0.017,0.018,0.019,0.019,0.017,0.014,0.013,0.012,0.013,0.013,0.014,0.015,0.015,0.016,0.018,0.021,0.023,0.023,0.02,0.016,0.013,0.011,0.012,0.015,0.017,0.02,0.021,0.023,0.025,0.027,0.027,0.025,0.021,0.018,0.018,0.019,0.022,0.024,0.025,0.023,0.02,0.018,0.019,0.023,0.028,0.031,0.031,0.029,0.027,0.027,0.026,0.025,0.023,0.021,0.022,0.025,0.031,0.038,0.041,0.04,0.034,0.027,0.021,0.016,0.013,0.011,0.011,0.013,0.017,0.022,0.025,0.026,0.024,0.02,0.016,0.013,0.011,0.011,0.011,0.013,0.016,0.018,0.019,0.019,0.02,0.021,0.024,0.025,0.026,0.025,0.023,0.021,0.018,0.016,0.015,0.015,0.015,0.016,0.017,0.019,0.02,0.02,0.021,0.022,0.022,0.02,0.018,0.016,0.014,0.015,0.018,0.021,0.022,0.022,0.022,0.023,0.024,0.024,0.022,0.018,0.014,0.013,0.014,0.016,0.018,0.019,0.017,0.014,0.01,0.007,0.006,0.005,0.005,0.006,0.006,0.006,0.007,0.01,0.013,0.016,0.017,0.016,0.014,0.012,0.012,0.011,0.011,0.011,0.011,0.011,0.011,0.011,0.01,0.01,0.011,0.012,0.014,0.016,0.017,0.016,0.014,0.012,0.011,0.011,0.012,0.014,0.018,0.021,0.023,0.022,0.021,0.021,0.023,0.026,0.03,0.033,0.035,0.035,0.032,0.026,0.02,0.016,0.019,0.028,0.043,0.057,0.065,0.065,0.059,0.05,0.043,0.039,0.042,0.054,0.071,0.089,0.103,0.108,0.104,0.09,0.07,0.053,0.047,0.055,0.075,0.099,0.115,0.117,0.106,0.09,0.073,0.059,0.049,0.043,0.037,0.032,0.026,0.021,0.016,0.012,0.01,0.008,0.008,0.008,0.008,0.009,0.009,0.009,0.01,0.011,0.013,0.013,0.013,0.012,0.011,0.01,0.008,0.007,0.007,0.008,0.008,0.009,0.008,0.007,0.006,0.006,0.006,0.006,0.007,0.009,0.011,0.012,0.011,0.009,0.007,0.005,0.004,0.004,0.004,0.005,0.005,0.005,0.005,0.005,0.005,0.006,0.006,0.007,0.007,0.007,0.007,0.008,0.009,0.009,0.009,0.009,0.008,0.007,0.007,0.008,0.008,0.009,0.01,0.011,0.012,0.013,0.013,0.014,0.013,0.013,0.012,0.012,0.013,0.014,0.015,0.017,0.018,0.018,0.018,0.017,0.016,0.015,0.017,0.02,0.024,0.026,0.025,0.022,0.02,0.018,0.019,0.021,0.023,0.023,0.023,0.022,0.022,0.022,0.022,0.022,0.022,0.021,0.02,0.019,0.018,0.018,0.02,0.021,0.023,0.024,0.024,0.025,0.027,0.027,0.027,0.027,0.026,0.024,0.022,0.019,0.015,0.013,0.012,0.013,0.014,0.014,0.014,0.013,0.013,0.014,0.016,0.019,0.021,0.021,0.019,0.017,0.017,0.017,0.018,0.017,0.016,0.014,0.014,0.014,0.016,0.019,0.02,0.021,0.02,0.019,0.018,0.017,0.017,0.018,0.019,0.019,0.018,0.017,0.016,0.016,0.016,0.017,0.018,0.018,0.017,0.018,0.018,0.019,0.02,0.019,0.017,0.015,0.013,0.013,0.013,0.015,0.016,0.017,0.017,0.016,0.015,0.013,0.012,0.012,0.013,0.013,0.013,0.013,0.012,0.011,0.012,0.013,0.014,0.016,0.016,0.016,0.015,0.014,0.014,0.015,0.015,0.014,0.014,0.015,0.016,0.017,0.017,0.015,0.013,0.01,0.009,0.01,0.012,0.015,0.017,0.017,0.017,0.016,0.016,0.016,0.017,0.017,0.017,0.017,0.016,0.017,0.017,0.018,0.018,0.018,0.018,0.018,0.018,0.018,0.018,0.018,0.018,0.017,0.016,0.015,0.015,0.014,0.015,0.015,0.015,0.014,0.013,0.013,0.014,0.015,0.016,0.017,0.016,0.014,0.012,0.01,0.009,0.009,0.011,0.013,0.014,0.015,0.015,0.014,0.014,0.015,0.017,0.019,0.02,0.019,0.017,0.015,0.013,0.012,0.012,0.014,0.016,0.017,0.019,0.021,0.023,0.023,0.022,0.021,0.02,0.022,0.025,0.026,0.026,0.025,0.025,0.027,0.028,0.029,0.028,0.027,0.025,0.022,0.02,0.018,0.016,0.016,0.016,0.015,0.016,0.016,0.018,0.019,0.019,0.018,0.017,0.016,0.017,0.019,0.019,0.019,0.019,0.018,0.017,0.016,0.015,0.015,0.016,0.017,0.017,0.016,0.015,0.013,0.011,0.01,0.01,0.009,0.01,0.01,0.011,0.011,0.01,0.011,0.012,0.013,0.015,0.015,0.016,0.016,0.016,0.017,0.016,0.017,0.017,0.018,0.018,0.017,0.015,0.013,0.012,0.01,0.009,0.009,0.01,0.012,0.015,0.017,0.019,0.02,0.02,0.02,0.019,0.018,0.017,0.017,0.017,0.018,0.02,0.022,0.023,0.025,0.027,0.028,0.028,0.026,0.023,0.02,0.017,0.016,0.016,0.016,0.018,0.02,0.022,0.024,0.023,0.02,0.017,0.016,0.015,0.015,0.015,0.015,0.014,0.014,0.013,0.012,0.011,0.011,0.011,0.011,0.012,0.012,0.013,0.013,0.013,0.013,0.014,0.015,0.015,0.015,0.014,0.013,0.013,0.014,0.015,0.016,0.016,0.016,0.016,0.015,0.014,0.013,0.011,0.01,0.01,0.01,0.011,0.012,0.013,0.014,0.015,0.017,0.017,0.018,0.017,0.017,0.016,0.017,0.017,0.018,0.018,0.017,0.016,0.014,0.012,0.01,0.01,0.011,0.014,0.016,0.017,0.018,0.019,0.019,0.018,0.017,0.014,0.012,0.011,0.011,0.012,0.013,0.013,0.014,0.015,0.017,0.019,0.019,0.019,0.018,0.018,0.019,0.021,0.022,0.022,0.022,0.021,0.019,0.017,0.015,0.013,0.012,0.011,0.01,0.009,0.009,0.008,0.008,0.007,0.007,0.006,0.005,0.005,0.005,0.006,0.007,0.008,0.009,0.01,0.011,0.012,0.013,0.013,0.012,0.012,0.011,0.012,0.013,0.014,0.014,0.015,0.014,0.015,0.015,0.016,0.016,0.015,0.013,0.01,0.009,0.008,0.008,0.008,0.009,0.011,0.012,0.013,0.013,0.013,0.012,0.011,0.01,0.01,0.011,0.012,0.013,0.013,0.013,0.012,0.012,0.012,0.012,0.013,0.013,0.013,0.013,0.013,0.013,0.013,0.015,0.015,0.016,0.017,0.018,0.019,0.02,0.019,0.018,0.016,0.015,0.016,0.017,0.018,0.019,0.018,0.016,0.013,0.012,0.011,0.011,0.011,0.011,0.013,0.015,0.018,0.021,0.023,0.023,0.022,0.021,0.02,0.02,0.021,0.02,0.019,0.017,0.015,0.014,0.015,0.016,0.017,0.017,0.016,0.016,0.016,0.017,0.016,0.016,0.015,0.014,0.014,0.015,0.017,0.02,0.024,0.027,0.029,0.028,0.025,0.022,0.019,0.018,0.018,0.019,0.019,0.017,0.016,0.014,0.014,0.014,0.015,0.016,0.018,0.018,0.018,0.019,0.02,0.022,0.026,0.03,0.033,0.036,0.036,0.034,0.03,0.026,0.024,0.026,0.03,0.035,0.035,0.03,0.023,0.017,0.013,0.011,0.011,0.011,0.012,0.013,0.015,0.016,0.017,0.017,0.017,0.018,0.02,0.023,0.026,0.027,0.027,0.027,0.028,0.031,0.034,0.035,0.032,0.027,0.021,0.016,0.013,0.011,0.01,0.009,0.01,0.011,0.013,0.015,0.017,0.019,0.02,0.021,0.022,0.022,0.021,0.019,0.017,0.015,0.013,0.011,0.01,0.01,0.01,0.011,0.011,0.011,0.011,0.012,0.012,0.013,0.014,0.015,0.016,0.017,0.017,0.018,0.017,0.017,0.015,0.013,0.012,0.011,0.01,0.011,0.012,0.015,0.017,0.02,0.021,0.021,0.022,0.022,0.023,0.024,0.025,0.025,0.027,0.035,0.05,0.073,0.102,0.136,0.178,0.228,0.276,0.302,0.292,0.244,0.176,0.112,0.065,0.04,0.034,0.041,0.056,0.076,0.093,0.102,0.103,0.099,0.09,0.077,0.059,0.039,0.024,0.016,0.017,0.022,0.027,0.028,0.025,0.02,0.015,0.013,0.013,0.014,0.014,0.014,0.013,0.011,0.009,0.008,0.007,0.006,0.006,0.005,0.006,0.006,0.007,0.008,0.008,0.008,0.009,0.01,0.013,0.017,0.021,0.022,0.02,0.015,0.011,0.007,0.006,0.006,0.007,0.008,0.008,0.008,0.009,0.009,0.009,0.01,0.01,0.011,0.011,0.011,0.01,0.01,0.011,0.011,0.011,0.011,0.009,0.009,0.008,0.008,0.008,0.007,0.008,0.01,0.012,0.014,0.016,0.016,0.015,0.013,0.012,0.011,0.011,0.012,0.012,0.012,0.011,0.009,0.009,0.009,0.01,0.012,0.014,0.016,0.017,0.017,0.017,0.016,0.014,0.012,0.011,0.011,0.011,0.011,0.012,0.013,0.013,0.013,0.011,0.01,0.01,0.01,0.011,0.012,0.014,0.015,0.016,0.016,0.015,0.015,0.015,0.015,0.015,0.015,0.014,0.012,0.01,0.009,0.009,0.01,0.012,0.014,0.015,0.015,0.015,0.015,0.015,0.015,0.014,0.014,0.015,0.017,0.018,0.019,0.018,0.018,0.018,0.018,0.017,0.015,0.014,0.014,0.016,0.018,0.019,0.019,0.017,0.015,0.014,0.013,0.013,0.013,0.013,0.012,0.012,0.013,0.014,0.015,0.016,0.016,0.016,0.016,0.015,0.016,0.017,0.02,0.021,0.02,0.018,0.015,0.014,0.014,0.016,0.018,0.019,0.021,0.023,0.025,0.029,0.033,0.037,0.04,0.041,0.04,0.036,0.031,0.028,0.026,0.026,0.027,0.026,0.023,0.02,0.018,0.017,0.019,0.021,0.022,0.022,0.019,0.016,0.013,0.011,0.01,0.009,0.008,0.008,0.008,0.009,0.011,0.011,0.011,0.011,0.01,0.009,0.009,0.009,0.01,0.011,0.011,0.011,0.011,0.012,0.013,0.014,0.014,0.013,0.012,0.012,0.012,0.013,0.013,0.013,0.013,0.013,0.013,0.015,0.017,0.018,0.018,0.019,0.02,0.021,0.023,0.024,0.025,0.025,0.024,0.023,0.022,0.021,0.02,0.018,0.015,0.014,0.013,0.014,0.014,0.015,0.015,0.015,0.015,0.014,0.014,0.013,0.013,0.014,0.014,0.015,0.016,0.017,0.017,0.017,0.016,0.015,0.015,0.015,0.015,0.016,0.016,0.016,0.016,0.016,0.016,0.015,0.013,0.01,0.008,0.007,0.008,0.01,0.013,0.017,0.02,0.023,0.025,0.025,0.024,0.022,0.02,0.019,0.018,0.018,0.017,0.016,0.015,0.014,0.014,0.014,0.015,0.016,0.016,0.016,0.016,0.016,0.015,0.015,0.016,0.016,0.017,0.018,0.02,0.022,0.025,0.028,0.029,0.028,0.026,0.025,0.023,0.021,0.019,0.017,0.017,0.017,0.018,0.019,0.021,0.022,0.022,0.022,0.022,0.022,0.021,0.02,0.018,0.016,0.014,0.014,0.015,0.018,0.022,0.024,0.026,0.027,0.028,0.03,0.031,0.032,0.031,0.03,0.028,0.026,0.023,0.02,0.017,0.015,0.016,0.02,0.024,0.027,0.028,0.027,0.024,0.022,0.021,0.021,0.022,0.023,0.024,0.024,0.023,0.022,0.021,0.019,0.018,0.016,0.017,0.019,0.024,0.028,0.032,0.033,0.033,0.031,0.028,0.025,0.022,0.019,0.017,0.016,0.015,0.015,0.015,0.016,0.017,0.017,0.017,0.016,0.015,0.015,0.015,0.016,0.016,0.016,0.016,0.016,0.017,0.018,0.019,0.021,0.025,0.029,0.034,0.036,0.035,0.031,0.028,0.026,0.028,0.032,0.037,0.043,0.049,0.053,0.053,0.049,0.041,0.033,0.027,0.025,0.025,0.026,0.028,0.03,0.031,0.031,0.031,0.029,0.028,0.028,0.029,0.031,0.032,0.031,0.032,0.036,0.046,0.057,0.065,0.064,0.054,0.039,0.026,0.019,0.016,0.016,0.018,0.021,0.026,0.03,0.033,0.034,0.032,0.029,0.026,0.022,0.021,0.022,0.024,0.028,0.032,0.035,0.037,0.037,0.036,0.04,0.051,0.07,0.095,0.125,0.151,0.161,0.148,0.117,0.084,0.062,0.052,0.047,0.04,0.032,0.025,0.021,0.02,0.021,0.023,0.027,0.033,0.047,0.076,0.12,0.172,0.219,0.249,0.261,0.269,0.288,0.322,0.357,0.361,0.322,0.249,0.182,0.151,0.164,0.202,0.232,0.231,0.195,0.144,0.098,0.07,0.055,0.047,0.04,0.033,0.026,0.02,0.016,0.013,0.01,0.008,0.007,0.006,0.006,0.006,0.005,0.005,0.005,0.004,0.005,0.005,0.006,0.006,0.006,0.006,0.007,0.007,0.007,0.008,0.009,0.01,0.01,0.01,0.01,0.009,0.008,0.007,0.006,0.005,0.006,0.007,0.008,0.01,0.011,0.012,0.012,0.012,0.012,0.012,0.012,0.012,0.013,0.016,0.019,0.023,0.024,0.022,0.02,0.017,0.014,0.012,0.011,0.01,0.01,0.01,0.011,0.012,0.013,0.014,0.015,0.017,0.018,0.017,0.016,0.014,0.013,0.011,0.009,0.008,0.007,0.007,0.007,0.008,0.009,0.009,0.01,0.011,0.01,0.009,0.008,0.007,0.006,0.005,0.004,0.004,0.004,0.004,0.004,0.003,0.003,0.002,0.001,0.001]