Input: 0.6056463 0.048339844 0.0024857954 0.006969105 0.0056818184 0.0015980114 0.004794034 0.002175071 0.0016867898 0.0066139917 0.0040838066 0.00026633524 0.0020862927 0.0008433949 0.0020419033 0.0012428977 0.0009321733 0.00039950284 0.003950639 0.00022194603 0.00013316762 0.0007990057 0.0011985085 0.00013316762 0.0027077415 0.00017755682 0.00017755682 0.008212003 0.0006658381 0.00013316762 0.011896307 0.00017755682 0.020019531 0.004794034 0.004616477 0.00026633524 0.013760653 0.00053267047 0.00031072443 0.00039950284 0.0014648438 0.00035511365 0.0014648438 0.00017755682 0.00039950284 0.0014648438 0.004705256 0.00026633524 0.0033735796 0.0051047583 0.0057262075 0.0007990057 0.0028852983 0.0015980114 0.0014648438 0.0009321733 0.0022638494 0.00044389206 0.00035511365 0.00017755682 0.004572088 0.00022194603 0.00022194603 0.00026633524 0.0008433949 0.0011541193 0.00044389206 0.0017755682 0.0010209517 0.00062144885 0.00057705963 0.00022194603 0.0028409092 0.0008433949 0.00017755682 0.00026633524 0.0007102273 0.0008877841 0.0008433949 0.0021306819 0.0019087358 0.00026633524 0.0028852983 0.004350142 0.0007102273 0.002397017 0.00057705963 0.00026633524 0.00035511365 0.00035511365 0.0010209517 0.00017755682 0.00035511365 0.00031072443 0.00035511365 0.00031072443 0.0013316761 0.0035955256 0.00035511365 0.0068803267 0.0028852983 0.0056818184 0.0020862927 0.0019975142 0.00785689 0.01336115 0.00039950284 0.0039950283 0.0035955256 0.003462358 0.007102273 0.0056818184 0.0071910513 0.00017755682 0.0074573862 0.0028852983 0.0042613638 0.001287287 0.0007990057 0.00022194603 0.0008877841 0.00039950284 0.00022194603 0.00031072443 0.00035511365 0.00017755682 0.00035511365 8.877841e-05 0.0027965198 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00022194603 0.00026633524 0.00035511365 0.00031072443 0.00053267047 0.00017755682 0.00017755682 0.00017755682 0.00053267047 0.00017755682 0.00017755682 0.0022638494 0.00017755682 0.00026633524 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00022194603 0.00035511365 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00026633524 8.877841e-05 8.877841e-05 0.00057705963 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00017755682 0.00031072443 0.00013316762 0.00017755682 0.00017755682 0.00026633524 0.00017755682 0.00031072443 0.00017755682 0.00039950284 8.877841e-05 0.00013316762 8.877841e-05 0.00013316762 8.877841e-05 8.877841e-05 8.877841e-05 0.002175071 8.877841e-05 0.00013316762 8.877841e-05 8.877841e-05 0.00013316762 8.877841e-05 8.877841e-05 0.00044389206 8.877841e-05 8.877841e-05 0.00013316762 0.00017755682 8.877841e-05 0.00017755682 0.00013316762 0.00022194603 8.877841e-05 0.00013316762 8.877841e-05 0.00017755682 0.00017755682 0.00022194603 8.877841e-05 0.00075461646 8.877841e-05 0.00044389206 8.877841e-05 0.00053267047 8.877841e-05 0.00044389206 8.877841e-05 0.00022194603 8.877841e-05 0.00035511365 8.877841e-05 0.00031072443 8.877841e-05 8.877841e-05 8.877841e-05 0.00039950284 8.877841e-05 0.0 0.0 0.00017755682 0.0 8.877841e-05 0.0 0.0007990057 0.0 0.0 0.0 0.00048828125 8.877841e-05 0.0 4.4389206e-05 0.00057705963 8.877841e-05 0.004794034 0.00013316762 0.00035511365 0.0 0.0007990057 0.0016424005 0.00035511365 8.877841e-05 0.0 4.4389206e-05 0.00026633524 8.877841e-05 0.0032404119 0.016468395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04152716 0.00013950893 0.00027901787 0.0005812872 0.0007905506 0.0007905506 0.0015578497 0.00067429314 0.00013950893 0.00016276042 0.00011625744 0.00018601191 0.0002092634 0.00013950893 0.00018601191 0.00013950893 0.040643603 0.00067429314 0.00088355655 0.0002092634 0.00034877233 0.0003952753 0.0008370536 0.0003952753 0.0018368675 0.00016276042 0.00016276042 0.00025576638 0.00023251488 0.00016276042 0.0002092634 0.0002092634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.33835566 0.009137834 0.0257859 0.016462054 0.0048828125 0.006487165 0.039574035 0.014090402 9.3005954e-05 0.0013020834 0.00011625744 0.0013253348 0.00018601191 0.0012090774 0.00069754466 0.016485306 0.19294085 0.018880209 0.020856585 0.00827753 0.00218564 0.0037899925 0.02187965 0.0060221353 2.3251489e-05 0.00062779017 6.975447e-05 0.00067429314 9.3005954e-05 0.0006045387 0.00025576638 0.008533296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030273438 0.0010230655 0.002906436 0.0017671131 0.0016508556 0.0011160715 0.0023484002 0.0011858259 0.0007672991 0.0007905506 0.0007905506 0.00044177828 0.00044177828 0.00048828125 0.00023251488 0.0013950893 0.053664435 0.0024646576 0.0050223214 0.0035807292 0.0048363097 0.0038364956 0.004627046 0.004045759 0.002139137 0.0021158855 0.0022786458 0.0011160715 0.0011625744 0.0009765625 0.0005347842 0.0028366814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 22.5 45.0 0.15555556 0.022222223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.044444446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022222223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022222223 0.0 0.0 0.0 0.022222223 0.022222223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.044444446 0.022222223 0.044444446 0.022222223 0.044444446 0.0 0.022222223 0.022222223 0.044444446 0.0 0.0 0.0 0.044444446 0.08888889 0.06666667 0.022222223 0.0 0.11111111 0.044444446 0.022222223 0.022222223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.202608 0.0 0.0 0.0 1.0 22528.0 32768.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1048627100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 5.0 2.0 7.0 10.0 5.0 2.0 5.0 1.0 0.0 512.0 8192.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4573257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21816.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016874425 0.0021685432 0.004983341 0.0018095128 0.0017377068 0.002391142 0.0018238741 0.0020392924 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053208293 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.003597484 0.0030804803 0.0026209215 0.0024055033 0.0044376147 0.0019459444 0.0020895565 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032743567 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016084559 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.001881319 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.002283433 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.001989028 0.0016802619 0.0019028607 0.0019674862 0.00201057 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.002699908 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016802619 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021829044 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.0043586283 0.0038631663 0.0036046645 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356273 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013104022 0.00013382523 9.403935e-05 0.000101273145 0.0056966147 0.002094184 0.00018446181 0.000101273145 8.318866e-05 1.4467592e-05 1.4467592e-05 3.616898e-05 3.2552085e-05 0.00012659143 2.8935185e-05 0.0003761574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1389832800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 49152.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.056587134 0.008291685 0.0061660362 0.005663573 0.005752486 0.0049501983 0.004207875 0.005425781 0.005044281 0.0056242854 0.0037478004 0.004467378 0.0049584694 0.0031667622 0.0043236692 0.0046400353 0.0050318744 0.003767444 0.004927453 0.004161351 0.0043495162 0.0031895074 0.0041044876 0.0038449848 0.005059789 0.0033497582 0.0031615926 0.002935174 0.0041541136 0.0034324683 0.00378502 0.0037860537 0.006160867 0.0038191378 0.0034831283 0.0030271888 0.004901606 0.004160317 0.0038377477 0.0037229874 0.004719644 0.0038977123 0.0033394194 0.003101628 0.0043691597 0.0037209196 0.003727123 0.0035865158 0.0055198637 0.003943203 0.0031067973 0.0029062254 0.003676463 0.0030695777 0.0026880775 0.002867972 0.004167554 0.003318742 0.0035193139 0.0033580293 0.004004202 0.003217422 0.003508975 0.0034552135 0.0065888916 0.003946305 0.0036258032 0.0032205237 0.00416652 0.0032236252 0.0035441269 0.0030633744 0.0049977563 0.003776749 0.0036992081 0.003585482 0.004124131 0.0031202377 0.0035617028 0.0034676201 0.005166278 0.003642345 0.0036578532 0.0033425211 0.0039307964 0.003376639 0.0033580293 0.0035379236 0.004652442 0.0036485484 0.003809833 0.0035079413 0.004116894 0.0033900794 0.003693005 0.0037974266 0.0059127365 0.0036237354 0.003333216 0.0029558514 0.0039917952 0.0030582051 0.003269116 0.0030364937 0.004977079 0.0031708977 0.003209151 0.0030551036 0.003577211 0.0028400572 0.0030840521 0.0031957107 0.0045045977 0.003284624 0.0032236252 0.0031553896 0.0038966786 0.0033363178 0.0032825563 0.0036299385 0.004623493 0.0032918612 0.0034800265 0.0031729655 0.004034184 0.00320088 0.0034738232 0.0033466564 0.008646305 0.0045976466 0.004010405 0.0035213816 0.0043546855 0.003427299 0.003026155 0.0033869778 0.0045469864 0.003834646 0.0029579191 0.0031967445 0.0037374618 0.0028111087 0.0028524639 0.002993071 0.005225209 0.00320088 0.0034934669 0.003025121 0.003667158 0.0031874396 0.0033156404 0.003258777 0.0045521557 0.0028379895 0.003043731 0.002709789 0.0035151783 0.0032370656 0.0029899694 0.0031450507 0.0050153323 0.0034148924 0.0032722175 0.0027945668 0.0037746811 0.0030085791 0.0030551036 0.0031802026 0.0041282666 0.0029992743 0.0031202377 0.0030147824 0.0036444128 0.0028400572 0.002924835 0.0030313244 0.0046638143 0.0031202377 0.0038398155 0.0028586672 0.0035575673 0.0031460847 0.0029879017 0.0031295426 0.004265772 0.0031491863 0.0033352838 0.0031864059 0.0036537177 0.0032039816 0.003333216 0.0033414871 0.0067150244 0.0040579634 0.0037229874 0.0033425211 0.004119996 0.0032639464 0.0033042675 0.0032163882 0.0043257372 0.003333216 0.003107831 0.0030768148 0.0036506162 0.0029837661 0.0030747473 0.002799736 0.0042471625 0.003275319 0.0030974925 0.0030044436 0.0037188518 0.0030220195 0.0029310384 0.0029475805 0.003975253 0.003108865 0.002727365 0.0026405193 0.0035317203 0.0029527498 0.0035792787 0.002892785 0.004957435 0.0032401674 0.003394215 0.0029765288 0.0038056974 0.0030737133 0.0032029478 0.002918632 0.004440497 0.0054474925 0.0034727894 0.0031398814 0.0037870877 0.0030840521 0.0032401674 0.0031853719 0.004609019 0.0033156404 0.0034293667 0.0030468325 0.0037333262 0.0030943907 0.003318742 0.003244303 0.0043484825 0.00303546 0.0031895074 0.0028648702 0.004010405 0.0030912892 0.004219248 0.004507699 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09913921 0.061998256 0.062453397 0.055332154 0.060583122 0.059600346 0.05495054 0.054497987 0.06048992 0.053180195 0.052127518 0.05298861 0.056419007 0.05057931 0.05667221 0.053845048 4036.0 5.7021804 23014.0 0.017206918 0.010384983 0.00934214 0.008690363 0.013513514 0.012557574 0.011818893 0.011427826 0.012601025 0.009820109 0.008516555 0.008603459 0.01390458 0.010645694 0.011688537 0.009993916 0.016685495 0.011905797 0.008733815 0.0075171636 0.009776657 0.008473103 0.0077778744 0.008299296 0.010211176 0.008429651 0.00960285 0.00886417 0.011471278 0.0089510735 0.00960285 0.009211784 0.01798905 0.010906405 0.010471887 0.008994525 0.010862953 0.008820718 0.010645694 0.008255844 0.014208742 0.011601633 0.009733206 0.008907622 0.011427826 0.009298688 0.011645085 0.00960285 0.014817067 0.009689754 0.010037368 0.0089510735 0.012079604 0.009385591 0.00960285 0.009776657 0.013687321 0.009211784 0.010515339 0.009515947 0.011210567 0.009776657 0.010471887 0.010645694 0.017902147 0.010949857 0.009689754 0.008212392 0.013035543 0.008212392 0.009385591 0.008386199 0.015425393 0.00934214 0.00886417 0.008646911 0.011297471 0.008038585 0.009863561 0.00790823 0.013122447 0.008038585 0.008690363 0.008907622 0.01151473 0.009429043 0.008255844 0.007995133 0.010906405 0.0089510735 0.012123056 0.0085600065 0.011427826 0.009124881 0.009993916 0.008820718 6.554708 0.0 0.0 0.0 14.0 967234.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.046256803 0.0041449945 0.0036134992 0.0039009748 0.0041215955 0.0037004105 0.003770608 0.0037739507 0.003937745 0.0036669832 0.003770608 0.0037405232 0.0038174063 0.0035065317 0.0037004105 0.0047968286 0.0038140635 0.00379735 0.0035901002 0.0036335557 0.0037171242 0.0035132172 0.0035967857 0.0036669832 0.003820749 0.0036903822 0.0034998462 0.0036970677 0.0037304952 0.0037672652 0.0036034712 0.0035466445 0.0037739507 0.0035867575 0.0035232455 0.003580072 0.005204642 0.0036034712 0.0036903822 0.003580072 0.0038575192 0.0037538942 0.003489818 0.0035199027 0.003630213 0.00383412 0.00351656 0.0037906645 0.003783979 0.003593443 0.0034697617 0.0035332737 0.0037304952 0.0035967857 0.0038775755 0.0038374627 0.0039544585 0.0037672652 0.0035199027 0.0037873217 0.0039912285 0.0038508337 0.0039143455 0.0036034712 0.0037672652 0.003630213 0.0035199027 0.0034797897 0.004138309 0.0037472087 0.003707096 0.0036736685 0.003924374 0.0035132172 0.003733838 0.003757237 0.0036201847 0.003693725 0.003693725 0.003630213 0.0038909465 0.0037238097 0.0038742328 0.0036736685 0.0035867575 0.0037304952 0.0036101565 0.0036636405 0.0045762076 0.0036034712 0.003720467 0.003593443 0.003616842 0.0038174063 0.0035566727 0.0036134992 0.004178422 0.0037472087 0.003680354 0.003707096 0.004161708 0.003770608 0.004623006 0.003860862 0.0037505515 0.0036836967 0.0036970677 0.0034296487 0.003733838 0.0037037532 0.0038876038 0.0037739507 0.0036335557 0.0036536122 0.0036602977 0.0037171242 0.0038006925 0.0036703257 0.003733838 0.0036536122 0.0035499872 0.003707096 0.0036736685 0.0036836967 0.0036736685 0.0034931607 0.0034965035 0.0035265882 0.0037605797 0.003860862 0.0037940072 0.003921031 0.003733838 0.0037171242 0.003783979 0.0036335557 0.004061426 0.00411491 0.0036669832 0.0036736685 0.003616842 0.00446924 0.0037004105 0.003566701 0.003453048 0.003971172 0.003847491 0.003743866 0.0037538942 0.0034329914 0.0034965035 0.0036134992 0.0036903822 0.0037806362 0.003376165 0.0038140635 0.0040948535 0.0037037532 0.0036836967 0.003720467 0.0036335557 0.0037371805 0.0036669832 0.0036602977 0.0036502695 0.0035566727 0.0036836967 0.00383412 0.0037171242 0.0037004105 0.003539959 0.0035600155 0.0037806362 0.003680354 0.0035834147 0.003630213 0.003643584 0.0035733865 0.003593443 0.003820749 0.0036335557 0.0034697617 0.0036770112 0.0036068137 0.003783979 0.0037940072 0.0038107208 0.0036836967 0.0037037532 0.003897632 0.003680354 0.0036536122 0.004051398 0.005014106 0.0037605797 0.0037806362 0.0037639225 0.0036703257 0.0038140635 0.003720467 0.003820749 0.0035767292 0.0036669832 0.0035867575 0.0038140635 0.0034965035 0.0037271525 0.0037605797 0.0038408055 0.003807378 0.0036770112 0.003580072 0.0037639225 0.0037238097 0.00355333 0.0036068137 0.0034931607 0.0037472087 0.0033226812 0.003720467 0.003503189 0.0035232455 0.0036602977 0.0036235275 0.0037505515 0.003743866 0.0036101565 0.003820749 0.0037004105 0.003539959 0.0036235275 0.0037037532 0.004332188 0.0044257846 0.00355333 0.0036602977 0.003707096 0.0037238097 0.003733838 0.003616842 0.0038508337 0.003680354 0.003860862 0.0037371805 0.0036536122 0.003707096 0.0037538942 0.003693725 0.004011285 0.0040580835 0.0037171242 0.0036536122 0.0036703257 0.0035232455 0.004038027 0.0046296916 0.030894276 0.0 3.355885e-06 0.0 0.0 3.355885e-06 3.355885e-06 3.355885e-06 6.71177e-06 3.355885e-06 0.0 0.0 0.0 3.355885e-06 3.355885e-06 3.355885e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023977798 7.550741e-05 6.0405928e-05 6.208387e-05 8.3897125e-05 6.208387e-05 7.047358e-05 7.047358e-05 8.557506e-05 5.53721e-05 7.047358e-05 6.0405928e-05 6.3761814e-05 7.382947e-05 7.382947e-05 7.047358e-05 0.0021477663 8.3897125e-05 9.564272e-05 0.0001224898 0.00010235449 7.047358e-05 0.000120811856 0.00011577803 9.732066e-05 7.382947e-05 8.3897125e-05 5.8727986e-05 4.1948562e-05 7.047358e-05 8.557506e-05 6.543975e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010705272 0.00015101481 0.00016276042 0.00016276042 0.00016276042 0.00015269277 0.00013926922 0.00014430305 0.00018792956 0.00015269277 0.00016108247 0.0001308795 0.0001661163 0.00013255746 0.00017953984 0.00017953984 0.06468468 0.05856187 0.05981026 0.059634075 0.059073642 0.059786767 0.06122812 0.058164198 0.06091099 0.0591072 0.058506496 0.05898807 0.06098314 0.058066875 0.06010222 0.06115429 1411.0 5.6428065 7962.0 0.010926903 0.010047726 0.008666164 0.010550113 0.00992213 0.0110524995 0.008917358 0.009796534 0.00916855 0.011806079 0.008163778 0.01067571 0.008289374 0.010173324 0.011178096 0.008791761 0.0110524995 0.010047726 0.009294148 0.011303692 0.00954534 0.01067571 0.010047726 0.00954534 0.010801306 0.0096709365 0.010550113 0.010424516 0.0096709365 0.009294148 0.0119316755 0.0119316755 0.012685255 0.01067571 0.010424516 0.010047726 0.012810851 0.009796534 0.009419744 0.008791761 0.012810851 0.011806079 0.008540568 0.010424516 0.00992213 0.011554886 0.010550113 0.009796534 0.011178096 0.01029892 0.011303692 0.012559658 0.0096709365 0.01067571 0.010173324 0.01029892 0.010047726 0.010173324 0.009796534 0.008666164 0.009419744 0.009419744 0.010424516 0.011554886 0.011303692 0.0110524995 0.0110524995 0.010173324 0.013313238 0.011178096 0.00916855 0.011178096 0.00954534 0.01029892 0.0110524995 0.009796534 0.014694801 0.010173324 0.012057272 0.010550113 0.01029892 0.01029892 0.013690027 0.010047726 0.010424516 0.010424516 0.009419744 0.01067571 0.009796534 0.010801306 0.0119316755 0.00916855 0.010173324 0.00916855 0.007912585 0.00954534 6.575694 0.0 0.0 0.0 10.0 299156.0 9310208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1458292100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 12.0 0.0 5.0 1.0 5.0 1.0 1078272.0 1024.0 4096.0 7.0 4.0 0.0 3.0 4.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4027904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.90579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3710348.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170544.0 0.0 0.0 -4027436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1077915.0 0.0 230254.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 8683820.0 230400.0 9076736.0 0.0 0.0 19096.0 4259840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8704100.0 64.0 9069464.0 0.0 0.0 108.0 5054284.0 0.0 0.0 0.0 0.0


Input: 0.36369896 0.004388809 0.0016384125 0.0011940002 0.012462616 0.0006198883 0.0077724457 0.00092697144 0.0010223389 0.0005016327 0.0017948151 0.00022697449 0.000289917 0.0012817383 0.00050735474 0.0010204315 0.00048065186 0.00014686584 0.00016593933 7.247925e-05 0.0002861023 0.00012397766 0.00010871887 0.00012397766 0.0002193451 0.00023269653 7.247925e-05 5.1498413e-05 0.00023078918 0.0001487732 0.00016021729 0.0004005432 0.02199936 0.00034713745 0.0008945465 0.00017929077 0.00026130676 0.0020866394 0.00016975403 0.0026931763 0.0009212494 0.00045967102 0.000787735 0.00025177002 0.00048065186 0.0014095306 0.002790451 0.0009384155 0.0025253296 0.0015506744 0.0016117096 0.001077652 0.00074386597 0.001455307 0.000579834 0.0008583069 0.0011024475 0.0006866455 0.0011348724 0.00045394897 0.001247406 0.0010910034 0.0016975403 0.00071144104 0.00068473816 0.0021266937 0.0012130737 0.00071144104 0.002998352 0.0012207031 0.00071907043 0.0009403229 0.0004711151 0.0016059875 0.0005893707 0.0005722046 0.00068855286 0.00048065186 0.001411438 0.0005226135 0.0024795532 9.918213e-05 0.00047302246 0.0013103485 0.00046730042 0.00030708313 0.00031852722 0.0004310608 0.0009918213 9.536743e-05 9.536743e-05 0.0003528595 0.0027389526 0.00013542175 9.918213e-05 0.0003643036 0.0001296997 0.008773804 0.0019760132 0.05222702 0.004348755 0.013834 0.0023117065 0.0018291473 0.0021572113 0.008525848 0.0003528595 0.0014457703 0.0059013367 0.002904892 0.0086250305 0.006505966 0.0031776428 0.00048828125 0.007820129 0.009880066 0.0074043274 0.0035171509 0.0012054443 0.0018730164 0.00061416626 0.001958847 0.0010356903 0.00035476685 0.0002193451 0.00032615662 0.0001373291 0.00021362305 0.0021457672 0.00030899048 0.0005340576 8.201599e-05 0.00020980835 0.00016784668 4.005432e-05 0.00031089783 0.00058174133 0.0057029724 0.0006389618 0.0003452301 0.00019264221 0.00055503845 0.00010871887 0.00020217896 0.00046539307 3.4332275e-05 0.00011253357 0.048345566 0.00026512146 8.392334e-05 0.00035858154 9.727478e-05 0.0002193451 0.00020599365 0.00016593933 0.00024986267 0.00015640259 7.05719e-05 0.00013160706 0.00027656555 0.00029563904 0.00031852722 0.0003490448 0.00023269653 0.0002632141 0.00033187866 0.00016021729 0.00020980835 0.0004825592 0.00018692017 0.005554199 0.0005607605 0.00024604797 0.0004119873 0.0002708435 0.00019073486 0.00017356873 0.00012397766 0.00022125244 0.00016784668 0.00014686584 3.6239624e-05 0.0002117157 0.00021743774 0.00024604797 8.773804e-05 0.00012207031 0.00014686584 0.0002861023 0.00044441223 0.00025367737 0.00018310547 0.0005302429 0.00024604797 0.00018119812 0.00018310547 0.00014305115 0.000333786 0.00018692017 5.340576e-05 0.0004863739 0.0002746582 0.00016975403 0.0001296997 0.00016403198 0.00028800964 0.00017738342 0.006008148 0.0009918213 0.0010585785 0.00032424927 0.00039482117 0.048772812 0.00041389465 0.00025749207 0.00046539307 0.00036239624 0.00032043457 0.00045585632 0.00069999695 0.00044631958 0.0005569458 0.00021362305 0.00012588501 0.0006084442 0.00025749207 0.00018692017 0.0002708435 0.0009689331 0.0003604889 0.0004386902 0.00050735474 0.0004825592 0.00068473816 0.00041389465 0.00048065186 0.0004386902 0.0006351471 0.0005283356 0.00076293945 0.0009250641 0.027246475 0.0002193451 0.00049591064 0.00083732605 0.0003681183 0.00067329407 0.0004005432 0.027565002 0.00031852722 0.00036621094 0.0002822876 0.0008735657 0.0005931854 0.0005836487 0.14094734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017257064 1.719973e-05 2.0066353e-05 9.555406e-06 6.688784e-06 8.599865e-06 1.9110812e-05 1.8155271e-05 5.1599192e-05 7.644325e-06 1.4333109e-05 8.599865e-06 8.599865e-06 2.0066353e-05 1.528865e-05 5.7332436e-06 0.008223383 0.00016244191 0.00013377568 4.2999327e-05 6.5932305e-05 6.4021224e-05 0.00018250826 0.00017104177 0.00032106164 2.9621759e-05 8.217649e-05 4.968811e-05 5.064365e-05 9.268744e-05 6.0199058e-05 5.2554733e-05 0.030337458 0.00029048434 0.0002866622 0.0001882415 0.00021308556 0.0001834638 0.0003201061 0.00025035164 0.0010014066 0.00018537488 0.00051408086 0.00024652947 0.0006211014 0.00042521558 0.00058001315 0.009366209 0.019718535 9.555406e-06 5.3510274e-05 0.000111798254 5.4465814e-05 2.1021893e-05 9.555406e-05 4.1088246e-05 0.00067174505 0.00019493028 0.000682256 0.0001175315 0.00074723276 0.00041279354 0.0004185268 0.011874503 0.099294044 0.0005370138 0.014823302 0.004434664 0.004501552 0.0013511344 0.03166375 0.017064044 0.0010166952 0.0016339745 0.0010166952 0.00029335095 0.0010606501 0.0020611011 0.0011370933 0.021633439 0.12667698 0.0011246713 0.010206129 0.006405944 0.005152275 0.0030462635 0.029194633 0.010018843 0.003775341 0.009757981 0.0031523285 0.0009154079 0.0031121958 0.010998272 0.002223543 0.071695164 0.056154255 0.00018155272 0.0036243654 0.0023573188 0.0011638484 0.00090871914 0.033108525 0.003999893 0.001435222 0.026418786 0.0014017781 0.00044814855 0.0013138683 0.027120154 0.0010080953 0.05070576 0.043469455 0.00038890503 0.00503761 0.003354903 0.0045961505 0.0032717711 0.022200074 0.0063266344 0.002391718 0.011795193 0.0024729392 0.000775899 0.002038168 0.013154928 0.001977969 0.03330346 0.010220462 0.00012135366 0.001481088 0.0013348903 0.0006316123 0.0011380488 0.004149913 0.0014782213 0.0006650563 0.0010768942 0.000576191 0.00017581947 0.00042426004 0.0014208889 0.0004663038 0.0039932043 0.0013721563 7.0710004e-05 0.0003697942 0.00012517582 0.00020161907 0.00027901787 0.0004901923 0.00034399462 0.00028570663 6.688784e-05 6.0199058e-05 1.1466487e-05 6.211014e-05 6.11546e-05 4.3954868e-05 6.975447e-05 0.0016215524 0.000105109466 0.0006813005 0.00019206366 0.0003908161 0.0004978367 0.0005675911 0.0005570802 0.0005169475 0.000111798254 9.937622e-05 2.5799596e-05 0.00012613136 0.00014237555 0.00010033177 0.00013473122 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 502.0 59.119522 29678.0 0.09077431 0.0027292944 0.011860638 0.0 0.0009097648 3.3694992e-05 0.0 0.02591145 0.0005728149 0.00026955994 0.0015836647 0.0 0.0011119348 0.018026821 0.009097648 0.0063346587 0.016746411 0.012298672 0.010007413 0.010344363 0.0073455083 0.007952019 0.004245569 0.0031336343 0.0055259787 0.0042792642 0.004009704 0.0020216997 0.010782397 0.005930319 0.010883483 0.0005391199 0.00037064494 0.015870342 0.00010108498 0.0013814947 0.025877755 0.0013141048 0.00037064494 0.011793247 0.00074128987 0.016173597 0.0 0.0005391199 0.0009097648 0.0015499697 0.013073658 0.0024260394 0.013781252 6.7389985e-05 0.0011456298 0.004818384 0.0028303794 0.0009434598 0.0011793247 0.0025945145 0.011894332 0.00016847496 0.00037064494 0.00010108498 0.0464317 3.3694992e-05 6.7389985e-05 0.00013477997 3.3694992e-05 0.041478537 0.016813802 0.02476582 0.02611362 0.061965093 0.027832065 0.007952019 0.0067389985 0.038681854 0.0006402049 0.0035716693 0.02112676 0.016240986 0.03265045 0.03002224 0.021227846 0.0027292944 0.03288631 0.040467687 0.034166723 0.013174742 0.006536829 0.008423748 0.0022238696 0.005862929 0.0023923444 0.004649909 0.0 0.0039760093 0.00010108498 0.00023586495 5.475711 0.0 8.0 0.0 9.0 524288.0 73728.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1491315600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2560942 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5286136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62288.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06692933 0.015035474 0.0051969825 0.005133228 0.021897936 0.0030222877 0.0032018097 0.0028747015 0.025213754 0.0022771948 0.0017469648 0.0015802406 0.012793032 0.0013155951 0.0015505354 0.008632558 0.0153757315 0.0015036883 0.0007823124 0.00088586926 0.005453644 0.000922032 0.00088446034 0.00076763594 0.0039865877 0.0007198495 0.0006336695 0.0010045723 0.002827737 0.0005638097 0.0007455626 0.0011818635 0.0029180264 0.0007492024 0.0007493198 0.00095244154 0.0021421716 0.0008747152 0.00070493825 0.00060149876 0.0018061401 0.000591284 0.0005788384 0.0023387184 0.0013617378 0.00050745223 0.00046565375 0.0004263209 0.003037199 0.0010057463 0.0019773259 0.0063577117 0.0017252436 0.00047293326 0.0012092204 0.00079710624 0.001706223 0.0022446718 0.0005349265 0.003962166 0.0014743354 0.0006583259 0.0008122523 0.00079945446 0.0043719322 0.005424878 0.001484785 0.002024408 0.0017090408 0.023219755 0.003948664 0.0023115964 0.002740383 0.0012359902 0.0007669315 0.0014895989 0.0011265627 0.010975269 0.0019244908 0.0015160164 0.015475296 0.005756213 0.0017010568 0.0042084954 0.000993653 0.013077403 0.010105015 0.0059689623 0.0015271705 0.006217405 0.0005804821 0.0022121489 0.00087929424 0.010704165 0.0053916504 0.003287755 0.0011465227 0.000658913 0.00039321088 0.0004146972 0.00077879004 0.00079933705 0.001784419 0.0004197459 0.002758934 0.00039250642 0.0066729616 0.0009199186 0.0008546378 0.00041117484 0.00039661583 0.0007688101 0.0026531462 0.0008149528 0.0009057118 0.0016485739 0.011474854 0.020357851 0.0018624975 0.0020255821 0.0016504525 0.0010355689 0.00050146424 0.0006982458 0.0011168176 0.0032935082 0.0011798675 0.00089197466 0.0030856899 0.001488777 0.00052741216 0.014480352 0.007884413 0.012225583 0.00073464337 0.0008210582 0.0019540784 0.020799084 0.0013564543 0.07564983 0.0008985497 0.023563184 0.0005379792 0.00059832865 0.0009903654 0.00046776715 0.00041422754 0.0004107052 0.0015886942 0.0016495133 0.00040013817 0.00039955112 0.0009579599 0.00079698884 0.00039720288 0.00048350028 0.0010183094 0.00090935157 0.0004890186 0.000466006 0.0011022586 0.00078090344 0.00043923617 0.0004158713 0.0010523587 0.0020320397 0.00039978593 0.00040530428 0.0013548105 0.0004898405 0.00042761245 0.00050698256 0.0010250019 0.00042455975 0.00044510674 0.0005052214 0.0053180335 0.0005465502 0.00040941368 0.0005265903 0.0012220183 0.0025030943 0.0010630431 0.00091804 0.0019450379 0.0005540646 0.00044134958 0.00061183097 0.0011472271 0.0010520065 0.00070247264 0.00060020725 0.0150412265 0.0061273505 0.011714256 0.00883885 0.0035394852 0.00076540513 0.0031609507 0.0035346712 0.003837123 0.0050275577 0.00087236695 0.0025168315 0.00224068 0.00078019896 0.003897003 0.0040874444 0.0018512261 0.0013437739 0.0013407212 0.00061993237 0.0012966918 0.00039591137 0.0009394089 0.00061077427 0.0030512884 0.0014420472 0.0009129913 0.0012498447 0.0018231648 0.0006367222 0.0006901444 0.00073663937 0.0058088135 0.0011408869 0.00069918507 0.00061124394 0.0022754336 0.0005338698 0.0006521031 0.0005577043 0.035102848 0.005136985 0.0005061607 0.006966138 0.014474952 0.00070282485 0.0006930797 0.001281311 0.004996561 0.00290018 0.00076540513 0.0011244493 0.0030361423 0.00079640176 0.0035499348 0.002247842 0.006497549 0.0023253334 0.0011530977 0.0015656815 0.0069857454 0.0027862908 0.006078977 0.08208891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018673411 0.0 5.871588e-08 2.3486352e-07 7.6330645e-07 2.6422147e-06 1.7614764e-07 1.1743176e-06 2.5834986e-06 9.394541e-07 1.1743176e-07 0.0006210966 0.0006234452 1.7614764e-07 2.5834986e-06 3.1706575e-06 0.0018850146 2.7009305e-06 1.1743176e-06 4.344975e-06 8.278939e-06 1.8260638e-05 1.8201922e-06 1.03927105e-05 2.5423975e-05 2.5247828e-06 9.394541e-07 0.00061857176 0.0006334856 1.4091811e-06 1.4855117e-05 1.7556047e-05 0.00066718855 2.407351e-06 1.7027605e-06 8.278939e-06 6.165167e-06 1.2976209e-05 1.7614764e-06 8.337654e-06 1.8730365e-05 2.2312033e-06 9.9817e-07 0.00021425424 0.0002288745 2.1137716e-06 1.0745006e-05 1.5735855e-05 0.00050149235 3.1706575e-06 2.2899194e-06 2.5834986e-06 9.042245e-06 2.0667989e-05 2.1724875e-06 8.983529e-06 2.6304713e-05 1.99634e-06 1.3504653e-06 0.00016058792 0.00017139166 3.0532258e-06 1.99634e-05 2.6950589e-05 0.0012848796 1.2800062e-05 7.339485e-06 2.3016624e-05 2.835977e-05 7.081135e-05 7.0459055e-06 4.3391035e-05 0.00012036755 1.1567028e-05 7.7504965e-06 0.0003949817 0.0004643839 7.7504965e-06 6.43526e-05 9.670505e-05 0.0016224959 5.6367244e-05 2.6715725e-05 4.644426e-05 0.00012547584 0.00022963781 1.5912003e-05 9.259494e-05 0.00046696738 2.5952419e-05 1.0510143e-05 0.00037478344 0.0006109387 2.1020285e-05 0.00016211453 0.00020057344 0.0032324265 0.00025946548 0.000131641 0.00014855117 0.0006990713 0.0010604674 9.917112e-05 0.0002459021 0.0022831082 7.269026e-05 6.5761786e-05 0.00033033555 0.0011856498 8.8543544e-05 0.0006937281 0.00094749813 0.018300096 0.0028163071 0.0011400862 0.0020081417 0.005267343 0.007968449 0.0012731364 0.00326748 0.016379617 0.00088848866 0.0007151594 0.0014702457 0.006985252 0.0010107938 0.0062533 0.012279193 0.10244899 0.021691408 0.00990484 0.016926203 0.03804237 0.05243839 0.010651412 0.0308916 0.09896497 0.006554747 0.006084022 0.009228668 0.043497253 0.009703797 0.044886585 0.07817133 0.04630992 0.013207902 0.0064866953 0.0095177265 0.021947525 0.02608218 0.007392505 0.017457934 0.048156768 0.004227191 0.0048196344 0.006088602 0.02145666 0.0079434365 0.024828186 0.036987185 0.00025629482 0.00018659906 6.482233e-05 9.089218e-05 0.00013610341 0.00018137335 0.00012547584 8.57839e-05 0.00017039348 5.125896e-05 9.9699566e-05 6.041864e-05 0.00012629786 0.00015806315 0.00021214047 0.00015888517 5081.0 6.107262 31031.0 0.016886339 0.0035126165 0.0058973283 0.0068641035 0.010666752 0.0042860364 0.0025458413 0.0020946795 0.011891334 0.0032548096 0.0021591312 0.018207598 0.015855113 0.0057684253 0.002803648 0.0026425188 0.012632528 0.0033514872 0.0030614547 0.011730205 0.005123908 0.0017724212 0.0028358737 0.0027391962 0.008894332 0.033901583 0.002610293 0.018497631 0.011601302 0.0033192614 0.012890335 0.0021591312 0.012954787 0.008733203 0.0027069706 0.009442171 0.0036415197 0.005220586 0.014888338 0.009377719 0.03834875 0.0042860364 0.0025780671 0.0036737456 0.00402823 0.003996004 0.0044793915 0.0042860364 0.056234088 0.065450676 0.0096033 0.03702749 0.004962779 0.002997003 0.049627792 0.0431504 0.014566079 0.024104927 0.005639522 0.008700976 0.0029647772 0.0077342014 0.010570075 0.010860108 0.0035126165 0.0016112919 0.0008378718 0.0009667752 0.0023202603 0.00090232346 0.019303277 0.0009667752 0.014501628 0.0012568077 0.06383938 0.0014823886 0.007379717 0.000999001 0.001385711 0.0013534853 0.0038993265 0.0018368728 0.0016757436 0.011021237 0.07028455 0.021043472 0.001998002 0.010892333 0.003577068 0.0012245819 0.0009345493 0.0011279044 0.0017079695 0.002223583 0.0025136154 0.0021269054 5.652399 0.0 0.0 0.0 7.0 8517058.0 19894272.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1440074200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 6.0 0.0 6.0 0.0 13748736.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -404992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1922560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13748736.0 0.0 3745280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.512789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -404942.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1922480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13748555.0 0.0 3744992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 15676672.0 100.0 15672508.0 3744992.0 15740928.0 0.0 0.0 8704.0 19844096.0 386708.0 19488768.0 56.0 13756608.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 15644720.0 0.0 0.0 704.0 13754368.0 0.0 0.0 0.0 0.0


Input: 0.16427362 0.010068684 0.0041061076 0.003631571 0.0035993767 0.0044146003 0.0027623225 0.003413928 0.0050170324 0.0023261546 0.0058351224 0.0018489722 0.0020097236 0.0022159 0.0017107127 0.007187948 0.0045821876 0.0018317724 0.0011521621 0.0012608733 0.0017153434 0.0064626923 0.0013808305 0.001601781 0.0030613334 0.001706082 0.001264622 0.0015563561 0.0013492976 0.0010659429 0.00096847775 0.0014445577 0.18820353 0.002403774 0.0025832688 0.0016319908 0.0104808165 0.0009197451 0.0007049689 0.00076759356 0.002386795 0.0008324234 0.0008304388 0.0014097173 0.0009188631 0.0014635215 0.0013215134 0.0019867907 0.004682078 0.0013872252 0.0015609867 0.005241952 0.0020125902 0.0011777412 0.0009709033 0.0010260307 0.0025620998 0.0016796208 0.002239715 0.0017515069 0.0018205264 0.0013354055 0.0017642966 0.0010207385 0.0063089975 0.0069841975 0.0011909718 0.0017726759 0.0073235617 0.005303033 0.0012756474 0.0012037613 0.035336647 0.0048258505 0.00075612706 0.0009953799 0.0064245444 0.0036785395 0.0011854591 0.0011424597 0.0028641978 0.0008306593 0.0011265831 0.0013951636 0.002066615 0.0019274736 0.001402661 0.002182162 0.0025493104 0.0007817062 0.0007545835 0.0010796145 0.0029965036 0.0012868935 0.0012710168 0.0018478696 0.002309396 0.0026192118 0.0012026589 0.0021662854 0.0029254996 0.0045687365 0.0026829392 0.0012229456 0.002262207 0.003164091 0.0006026525 0.00093187316 0.0025744485 0.0020915326 0.0028006912 0.0034752297 0.003784825 0.00070871756 0.0027076362 0.0027431382 0.007659177 0.0028822797 0.0011605415 0.0016749902 0.003458471 0.0014531576 0.0007986854 0.00083903864 0.0015184284 0.0011029885 0.0012269148 0.0011914128 0.003876557 0.0015777454 0.0008701305 0.0062377728 0.0025407104 0.0068428507 0.0010286769 0.0010333075 0.0027720248 0.008853236 0.0011051936 0.028069096 0.001020959 0.00903692 0.00093672436 0.0009614214 0.0021413676 0.00072040455 0.00084168476 0.000754363 0.00086086907 0.0009093812 0.000928786 0.0011574543 0.0013680409 0.001264181 0.0006584414 0.0006249239 0.00092636043 0.0007640654 0.00066108746 0.00075061433 0.0017387174 0.0008028751 0.0008264696 0.0007746499 0.0008641767 0.00080508017 0.0008277927 0.0009241553 0.001323057 0.0008264696 0.00081390055 0.00075700914 0.0009124683 0.00083396694 0.00086682284 0.00094267813 0.001438163 0.00072724035 0.00078302925 0.00076494744 0.0007814857 0.0008507256 0.0010430099 0.00092746294 0.0019523911 0.0012952728 0.001846767 0.001058225 0.0010271332 0.0012608733 0.0010030977 0.0012128022 0.006488933 0.00235879 0.001137388 0.0028833821 0.0026666215 0.00090916065 0.0014871161 0.002355262 0.0027193232 0.0018796229 0.0010434509 0.0029960626 0.019422919 0.0010999014 0.0019475399 0.002834429 0.0021501882 0.0011861206 0.0017837014 0.0020335387 0.0010513893 0.0009334167 0.0012524939 0.0017212972 0.0022145768 0.0011991307 0.001020518 0.0014690342 0.0009331962 0.0007920701 0.0008950481 0.0009230528 0.0022333201 0.000894166 0.00082227995 0.0009448832 0.0010802761 0.00082823366 0.00084631547 0.0012509504 0.0066488027 0.0032604535 0.0009124683 0.0021506292 0.0026633136 0.0010738813 0.0009237143 0.0010679275 0.002812378 0.0013724511 0.0014408091 0.0012549196 0.0011345213 0.0015171054 0.002212813 0.0015402589 0.0025667306 0.0016674928 0.0016167756 0.0014542602 0.0014877776 0.0013795075 0.0019210788 0.05383563 0.0054598823 2.7684344e-05 0.14737634 5.51481e-06 1.6875318e-05 9.264881e-06 1.2904655e-05 1.1139916e-05 4.4118477e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.00068284373 0.0032031117 4.9081806e-05 0.0023820668 1.797828e-05 4.9081806e-05 8.051622e-06 3.595656e-05 2.2831313e-05 4.8530324e-06 2.3162202e-06 9.375177e-06 3.3088858e-07 1.0478138e-05 4.4118477e-07 2.5368124e-06 0.0016557665 0.01070204 0.00021485699 0.0023100434 6.2096755e-05 0.00023901185 4.1250776e-05 0.000110737376 6.1545274e-05 1.477969e-05 1.8309169e-05 5.1728915e-05 1.6103244e-05 3.330945e-05 9.044288e-06 1.3456136e-05 0.0034949556 0.009825957 2.3493089e-05 0.0029519673 9.386206e-05 5.823639e-05 3.9816925e-05 0.00015375289 7.522201e-05 3.507419e-05 9.926657e-06 1.1139916e-05 4.0368406e-05 1.941213e-05 2.4375458e-05 2.3051905e-05 0.0064923647 0.009315616 8.658251e-05 0.0036442964 0.00017845925 0.000120443445 5.1728915e-05 0.0002638285 0.00013764965 9.9487166e-05 1.4889986e-05 1.50002825e-05 8.9781104e-05 2.9890269e-05 1.334584e-05 2.7022568e-05 0.0069194315 0.005175318 0.00013831143 0.0040185316 0.0003763306 0.00012970832 9.55165e-05 0.0006750127 0.00036011706 8.10677e-05 5.5478984e-05 3.2647673e-05 4.63244e-05 5.2942174e-05 4.7096473e-05 4.808914e-05 0.0013171572 0.007303483 0.00020404796 0.004736008 0.00045949395 0.00038614697 0.00018606968 0.0006670714 0.00044835403 0.00010698731 0.00015882651 8.4155996e-05 9.00017e-05 0.00010610494 0.00017614302 0.00018651086 0.0005126567 0.009314403 0.00027750523 0.004797112 0.00076391146 0.00067038025 0.00034853598 0.002248829 0.0013241058 0.0003646392 0.00013941439 0.000114597744 0.00013456136 0.0007714116 0.00019555516 0.00026162257 0.0010879616 0.011958975 0.00050350215 0.004555012 0.0014916457 0.0017815041 0.0008110079 0.0047242064 0.00268858 0.0010015997 0.00024154867 0.00016974584 0.0002606299 0.00028125528 0.00024838702 0.00033982258 0.0025996813 0.016231518 0.0010481448 0.00587239 0.0030210128 0.0027173674 0.0012845094 0.0070485887 0.004303206 0.0011273375 0.00052335544 0.000494899 0.0004056694 0.0005711137 0.00061622483 0.0008114491 0.00339238 0.022909291 0.0032052074 0.0047234343 0.0029170034 0.0019864345 0.0014048426 0.004025039 0.002992446 0.001507749 0.0010209016 0.0006687258 0.00083880255 0.002438318 0.0012654283 0.0017206207 0.0055580456 0.015082784 0.0015921255 0.0033970124 0.0019719857 0.0015480071 0.0010931456 0.0023809639 0.0019305142 0.0016328249 0.0013867541 0.0031307575 0.0013012745 0.0025990196 0.0015294773 0.0018222034 0.005714997 0.011128334 0.0013903938 0.0020775392 0.0011678161 0.0020892306 0.00094314275 0.0014758734 0.0013650256 0.0023766623 0.0011315286 0.0010740643 0.0011147637 0.0024493476 0.0011703529 0.0013665699 0.003595325 0.07081258 0.01661568 0.018688366 0.012745497 0.061616417 0.013966586 0.0071307593 0.012577406 0.057054017 0.0051337364 0.0039275372 0.007890148 0.036425978 0.010269458 0.0141525455 0.025965048 0.0098941205 0.002876194 0.0030718592 0.0025759677 0.0078782365 0.0020039715 0.0021808867 0.0023929863 0.007200356 0.0015057636 0.0011497275 0.0017881219 0.004339935 0.0020038614 0.0028035087 0.0059685684 0.006060004 0.004145593 0.004305412 0.004367729 0.0044354512 0.0040676133 0.0044397525 0.004209344 0.004171733 0.0039843395 0.0039019485 0.003951251 0.0041138274 0.003987538 0.004024929 0.004277176 23433.0 46.492767 1089465.0 0.76317734 0.00042130772 0.0028839842 0.0010583176 0.002724273 0.00016246506 0.00017715117 0.00026802145 0.0005617436 0.0004167183 0.00023681349 0.00034328777 0.00032309437 0.002909685 0.002568233 0.005231008 0.005268641 0.0027683312 0.0026554319 0.002250646 0.0018752323 0.0017421395 0.0013153245 0.0014190451 0.0015181764 0.0019982285 0.00646923 0.0003965249 0.003810127 0.0013566292 0.0043819672 0.00080131076 0.0018954257 0.008402289 0.0004984098 0.0020780843 0.003971674 0.002390164 0.0008132432 0.0005718403 0.003413602 0.002064316 0.00034695928 0.00029464002 0.0012850343 0.0025003098 0.0005966231 0.0005966231 0.0014346491 0.0002817897 0.0012584159 0.0013382715 0.0022515638 0.0019358125 0.0025930158 0.0030712322 0.0010427136 0.0004222256 0.00038000304 0.00033502682 0.0011822317 0.0012685126 0.0020734947 0.0022983758 0.00033319107 0.006862084 0.0020450405 0.0046288776 0.005410913 0.012528167 0.005234679 0.0017467289 0.0026168807 0.007963542 0.00017898693 0.00073063385 0.0044654943 0.0053815404 0.0074311704 0.009365147 0.0053328928 0.00034236987 0.005949709 0.0061167637 0.012433626 0.0024635945 0.0013511219 0.0024755269 0.005223665 0.0011831495 0.00040019644 0.0001450253 0.00041947194 0.00015879354 0.0001909194 0.0005130959 2.1905584 2.0 595.0 0.0 39.0 4534952.0 4517888.0 1.0 0.0 887.0 1.0 1.0 1.0 0.0 0.0 1540442100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 12.0 10.0 10.0 0.0 10.0 0.0 1855488.0 1024.0 4096.0 8.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 503296.0 0.0 0.0 0.0 0.0 94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1855488.0 0.0 2002432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.448398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8015685 0.0 0.0 0.0 0.0 6.252002 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2899816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.38675 0.0 1.2893937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20644.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 503166.0 0.0 0.0 0.0 0.0 94428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1855143.0 0.0 2002200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 2.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 1.0 -2.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 3.0 0.0 2.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 -2.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 2.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -3.0 0.0 -1.0 -1.0 1.0 2.0 0.0 1.0 -1.0 1.0 -2.0 1.0 0.0 -2.0 0.0 -1.0 -3.0 0.0 1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -2.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 3.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 2.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 3.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 -4.0 0.0 0.0 0.0 1.0 2.0 -1.0 1.0 -2.0 0.0 0.0 0.0 2.0 1.0 2.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 -2.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 2.0 0.0 0.0 -1.0 2.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -3.0 1.0 -3.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 -3.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 3.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 3.0 -1.0 0.0 0.0 1.0 3.0 0.0 -3.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 2.0 -2.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 -1.0 2.0 1.0 0.0 0.0 -2.0 0.0 2.0 -1.0 -1.0 2.0 2.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -3.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 2.0 -1.0 2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 3.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 2.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 -2.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1540.0 2338296.0 2004616.0 2486272.0 94428.0 2383872.0 48296.0 4486656.0 20644.0 4493312.0 56.0 2063584.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 2063680.0 0.0 0.0 8568.0 1863680.0 1152.0 2320456.0 0.0 0.0