Input: 0.056726716 0.00830592 0.0061771004 0.0056547415 0.005759421 0.0049717366 0.004198563 0.005418436 0.0050453227 0.0056277947 0.0037414988 0.004458706 0.004947899 0.00317561 0.004330189 0.004639044 0.005040141 0.003761191 0.0049302797 0.004158142 0.00435299 0.0031787192 0.004111503 0.0038378863 0.0050784885 0.0033476567 0.003168355 0.0029382685 0.0041498505 0.0034481902 0.0037839923 0.0037902107 0.006170882 0.003815085 0.0034803194 0.0030149638 0.004881568 0.0041602147 0.0038399592 0.003722843 0.00472714 0.0038897076 0.0033352196 0.0030947689 0.0043664635 0.003724916 0.0037207701 0.0035860348 0.005520006 0.003956039 0.003099951 0.0029030298 0.0036710217 0.0030678217 0.0026895262 0.0028636458 0.0041778344 0.003316564 0.0035145213 0.003350766 0.003999569 0.0032232855 0.00350623 0.0034627 0.006600999 0.003956039 0.003618164 0.003217067 0.00415296 0.0032222492 0.003547687 0.0030657488 0.0050028292 0.0037746644 0.003710406 0.0035860348 0.0041301586 0.0031289707 0.0035601242 0.0034647728 0.0051759128 0.0036274919 0.0036575482 0.0033300375 0.0039259824 0.003377713 0.0033600938 0.0035311042 0.0046338616 0.0036513295 0.0038099028 0.0035072663 0.00410943 0.003392223 0.0036969325 0.0037881378 0.005917994 0.0036316374 0.0033518025 0.0029558877 0.0040109693 0.0030553846 0.0032616335 0.0030325833 0.0049717366 0.0031704279 0.0032087755 0.0030502025 0.003581889 0.002837735 0.003085441 0.0031911563 0.004500163 0.0032916898 0.0032295042 0.0031445173 0.0038938534 0.0033393654 0.0032906532 0.003625419 0.0046214247 0.003294799 0.0034761736 0.0031673186 0.004041026 0.0032004842 0.0034637365 0.0033424746 0.008655195 0.004598623 0.004017188 0.0035290313 0.0043757916 0.0034378257 0.0030128912 0.003387041 0.0045343647 0.0038306313 0.0029558877 0.0031942658 0.0037352801 0.0028087152 0.002847063 0.0029797254 0.005237062 0.0032077392 0.00349172 0.0030253283 0.0036679124 0.0031849379 0.0033030903 0.003267852 0.0045457655 0.0028387716 0.003039838 0.0027029996 0.0035155579 0.0032284677 0.0029828348 0.0031621365 0.005001793 0.003406733 0.0032740706 0.0027921323 0.0037705186 0.0030180733 0.0030657488 0.0031818287 0.004140523 0.0029983812 0.0031237886 0.0030149638 0.003639929 0.0028439537 0.0029123577 0.0030367288 0.004671173 0.0031113515 0.0038409957 0.0028553542 0.0035673792 0.003153845 0.0029994175 0.0031217157 0.0042493474 0.0031445173 0.0033258917 0.0031714642 0.0036513295 0.0031859742 0.0033227825 0.0033569846 0.006718115 0.0040617543 0.003717661 0.0033362561 0.004113576 0.0032543784 0.0032989448 0.0032377956 0.004340553 0.003323819 0.0031154973 0.0030792223 0.003647184 0.0029817983 0.0030719673 0.0028024965 0.004246238 0.0032719977 0.0030864773 0.002995272 0.0037135151 0.0030284375 0.0029382685 0.0029548511 0.0039767674 0.003107206 0.0027247646 0.0026345954 0.0035290313 0.0029465598 0.0035808526 0.0028874835 0.004953081 0.0032346863 0.0033891138 0.002978689 0.0038140486 0.003070931 0.0031921929 0.0028999206 0.004444196 0.00546093 0.0034637365 0.0031372623 0.0037860652 0.003070931 0.0032377956 0.0031890834 0.0046120966 0.003318637 0.003413988 0.0030336196 0.003744608 0.0030864773 0.0033124182 0.003251269 0.004355063 0.0030305104 0.0031859742 0.0028584637 0.004012006 0.003090623 0.004217218 0.0045188186 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09920567 0.06202988 0.06241698 0.055320036 0.060611736 0.05956564 0.05496978 0.05448098 0.060480975 0.053181145 0.052123636 0.052947123 0.056419056 0.050543595 0.056631804 0.053811602 4024.0 5.7040257 22953.0 0.017121945 0.010499717 0.009366968 0.008582756 0.013418725 0.012460245 0.0117631685 0.011545332 0.012634514 0.009759073 0.008495621 0.008582756 0.013854398 0.010586851 0.011806736 0.009889775 0.016773406 0.011850303 0.008757025 0.007537141 0.00980264 0.008495621 0.007798545 0.008321352 0.010238313 0.008408487 0.009584804 0.00884416 0.011545332 0.009018429 0.00980264 0.009279832 0.018080425 0.010891822 0.010412582 0.009105563 0.010804688 0.008887727 0.010673986 0.00836492 0.014246504 0.011588899 0.009759073 0.008974861 0.01141463 0.009366968 0.011632467 0.009584804 0.014769311 0.009584804 0.0099769095 0.009061996 0.012155274 0.009366968 0.009584804 0.009759073 0.013636562 0.009192698 0.010586851 0.009541237 0.0111096585 0.00980264 0.010412582 0.010673986 0.017906155 0.010978957 0.009715506 0.0081906505 0.013113754 0.008234218 0.009366968 0.008321352 0.01542282 0.009279832 0.008887727 0.00866989 0.011327495 0.007972814 0.009889775 0.007972814 0.013200888 0.007929247 0.008713458 0.008757025 0.011545332 0.009541237 0.008321352 0.007929247 0.010978957 0.008800592 0.011981005 0.008539189 0.01124036 0.009061996 0.0099769095 0.008800592 6.5546856 0.0 0.0 0.0 14.0 964854.0 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: 0.14171512 0.008586621 0.004164672 0.0034064471 0.0062092827 0.0039284225 0.0020186352 0.0019506053 0.007843239 0.0015028443 0.0016933283 0.0014978966 0.004550588 0.0013655474 0.0012245398 0.003870288 0.0061325943 0.0014978966 0.001181248 0.0008918113 0.0024589747 0.0019728697 0.00076440966 0.0008225444 0.0022969397 0.0007520406 0.00082749204 0.00070874876 0.0016104553 0.0006023746 0.00059247937 0.00056403043 0.0038727617 0.0005850579 0.00065061403 0.00054176606 0.0041461186 0.0013148341 0.0004638408 0.0005603197 0.001181248 0.00065185095 0.00058258406 0.00094128767 0.0011033227 0.0023377577 0.00067535223 0.0005170279 0.005736783 0.0026692494 0.0030972199 0.0100437 0.003488083 0.001954316 0.0027075936 0.0016537472 0.0039964523 0.0019728697 0.0007136964 0.00148058 0.0016648794 0.0009746842 0.00046507773 0.0005281601 0.011761767 0.0039247116 0.004896922 0.00881916 0.0038653403 0.032530703 0.0032654393 0.0027063566 0.0033804718 0.003544981 0.0021868548 0.0023526007 0.0027075936 0.004383605 0.0011589836 0.0015300562 0.009051699 0.0021423262 0.0020545055 0.009748079 0.003202357 0.013826167 0.0032196739 0.0020940867 0.0019246301 0.0065086144 0.002739753 0.003256781 0.0015646897 0.0046334607 0.002376102 0.0036018786 0.0057602846 0.0045307972 0.0016401411 0.003488083 0.009996697 0.0063045244 0.003979136 0.001709408 0.008467878 0.0043885526 0.0036550658 0.0015275824 0.004263625 0.0018776277 0.004439266 0.00423765 0.003855445 0.0018330989 0.00486971 0.003979136 0.010960249 0.005762758 0.0017366201 0.0012777268 0.0034386066 0.001262884 0.0005306339 0.00059000554 0.0016525103 0.0025171095 0.0010625047 0.00087449455 0.00524202 0.0011577467 0.0010884798 0.009060358 0.003120721 0.0032258583 0.0010340558 0.0006184544 0.002661828 0.0151842935 0.0022326205 0.051712684 0.0011960908 0.010997357 0.00085717783 0.0006802999 0.0026556433 0.0004440503 0.0007273024 0.00064566644 0.0011231132 0.00093634 0.0015115027 0.00056774117 0.0011738265 0.0005887686 0.0004997112 0.0007124595 0.00095613056 0.0004762099 0.00046507773 0.0004193121 0.0008967589 0.0033285217 0.00046631464 0.002550506 0.0014236821 0.00081759674 0.00056403043 0.00045270866 0.0010464248 0.00045765628 0.00050960644 0.0004873421 0.0008472826 0.00045023483 0.00074214535 0.0006580355 0.0013247294 0.00068524753 0.0017304355 0.00053681846 0.0008782053 0.0006704046 0.0007124595 0.0015795326 0.003150407 0.0025344263 0.004650777 0.0008237813 0.0010006593 0.00047992065 0.0008534671 0.0007149333 0.011996779 0.0011490884 0.0022870444 0.010349217 0.00435763 0.001058794 0.0035573498 0.003368103 0.0018702062 0.001765069 0.0009833425 0.001302465 0.001682196 0.0008930482 0.0009920009 0.0009425246 0.0028745763 0.0011503253 0.0029747658 0.0013531783 0.0018133085 0.0007681204 0.0016042708 0.00087573146 0.003368103 0.0006543248 0.0010860059 0.0017873333 0.0014966597 0.00071864406 0.0005627935 0.00084233494 0.0024391843 0.0006580355 0.0008782053 0.000990764 0.0024329997 0.0024317629 0.00055042445 0.00069390587 0.02761028 0.00602622 0.0010934274 0.005900055 0.0065333527 0.0010427142 0.0006802999 0.0007545144 0.0072433385 0.000977158 0.0018170191 0.0009190233 0.009138282 0.002170775 0.004096642 0.0025937979 0.010068438 0.003053928 0.0030737186 0.0036130107 0.014889909 0.0039964523 0.004301969 0.06893911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017486417 0.0 0.0 0.00048890087 0.00030052842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003652195 0.0 0.0 0.0015528335 0.0011401491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008261744 0.0 0.0 0.006992708 0.005050117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055086554 3.7178775e-06 1.7969742e-05 6.69218e-05 0.0001487151 7.559684e-05 6.1964624e-06 7.435755e-06 1.5491156e-05 0.0 0.0 1.8589387e-06 8.055401e-06 3.0982312e-06 4.95717e-06 0.00035815555 0.0060917423 0.00020572255 0.00021315832 0.00055024587 0.0019091301 0.0004876616 0.002445124 0.0010639327 0.00019456893 0.00010038269 9.232729e-05 7.497719e-05 0.0006710769 0.00037984314 0.0004002915 0.0028863123 0.01331186 0.00064071425 0.0009449605 0.002079533 0.004125605 0.0036057215 0.0069604865 0.0032066694 0.00045358107 0.00023546557 0.0003104428 0.00033027146 0.002080772 0.00110359 0.0011209401 0.008981773 0.020753812 0.0013018767 0.0012324764 0.0020764347 0.0073105865 0.002559139 0.006685983 0.0032537624 0.0023899756 0.0009740839 0.0009759429 0.0013347181 0.004054965 0.0026477484 0.0026719146 0.009573535 0.020209143 0.001560889 0.0012504462 0.0022679053 0.009421102 0.0040413328 0.0058854003 0.003399999 0.0058079446 0.0014127934 0.0017777651 0.0023038448 0.003860396 0.0017715687 0.0040425723 0.009667101 0.07400373 0.009815817 0.007279604 0.010079785 0.04205663 0.03059937 0.021301579 0.013950716 0.051467817 0.00529054 0.0060545634 0.009141642 0.016785597 0.0070726424 0.027437937 0.06106304 0.060251303 0.010128737 0.009117475 0.011670417 0.028117068 0.030603088 0.017669212 0.01460878 0.049815223 0.0058847805 0.0064821197 0.009149697 0.021097096 0.010936757 0.025080802 0.0485245 0.00023360664 4.771276e-05 8.613083e-05 5.2050287e-05 9.0468355e-05 9.91434e-05 4.337524e-05 6.56825e-05 0.00013446323 2.9123374e-05 3.34609e-05 2.9123374e-05 8.427189e-05 6.0105685e-05 7.311826e-05 0.0001071988 5347.0 16.5317 88395.0 0.005294417 0.00012444143 0.0005430171 9.050286e-05 0.0032581028 0.00055433 0.00012444143 0.00016969285 0.00038463715 0.00039595 0.00071270997 0.00056564284 0.00048645286 0.01385825 0.0010973471 0.00045251427 0.024820408 0.016019005 0.023700435 0.011233667 0.021879066 0.013903501 0.02098535 0.011030036 0.02510323 0.013575428 0.00080321287 0.0004977657 0.00092765427 0.00052039145 0.00011312857 0.00013575428 0.0013236043 0.008292324 0.0071949773 0.014107132 0.0069347816 0.01567962 0.00459302 0.0029865943 0.0047853384 0.01710504 0.0023870128 0.0038803099 0.0066293343 0.0064822673 0.0043101986 0.008959783 0.012545958 0.0025453928 0.0058148084 0.019899316 0.012704339 0.006086317 0.0057356185 0.003393857 0.0027037729 0.0052039144 0.0014819843 0.0029074042 0.0011312857 0.0027150856 0.0028282143 0.021573618 0.00024888286 0.03077097 0.011425986 0.02798801 0.031823065 0.052683976 0.011256292 0.011177103 0.023609933 0.034866225 0.006674586 0.007771933 0.029990384 0.01259121 0.036563154 0.03473047 0.024266079 0.00372193 0.03699304 0.028621528 0.04683523 0.012455456 0.009672493 0.00704791 0.018756717 0.00649358 0.0010181571 0.00028282142 0.0005317043 0.00024888286 0.00029413428 0.00030544715 5.753877 0.0 2.0 14.0 4.0 808467.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5842752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13723922 0.11210061 0.11198282 0.11076931 0.12586562 0.10942705 0.0007587877 0.0010080645 0.0011833801 0.0010792864 0.00092588534 0.0014025245 0.0010464148 0.0009779321 0.0009751929 0.0014134818 0.0013751315 0.0013723922 0.0011094188 0.0010217611 0.0011724229 0.0010080645 0.0010464148 0.00094779977 0.0011231153 0.0010518935 0.0010875044 0.0010491541 0.001227209 0.0010628506 0.0010518935 0.0010546327 0.0011587263 0.0010354576 0.0011012009 0.001218991 0.003333735 0.0009395819 0.0009395819 0.0010409362 0.0009614963 0.0010738078 0.0009532784 0.0011313333 0.0010190217 0.0014627893 0.001057372 0.0009149281 0.0011094188 0.001029979 0.00090944953 0.0019859967 0.002114744 0.0010792864 0.00083822757 0.00088479574 0.0010080645 0.000923146 0.0008437062 0.0010601113 0.0010601113 0.0010738078 0.0009971072 0.0009861501 0.0036213621 0.0009806715 0.0014573106 0.0010984616 0.0020298255 0.0011395512 0.00096697494 0.000958757 0.0011779015 0.001881903 0.002087351 0.0015394898 0.00146005 0.0010984616 0.0010217611 0.0009971072 0.0018955995 0.0010217611 0.0020763937 0.0010738078 0.0012518627 0.000923146 0.0014984002 0.002087351 0.0010162825 0.0010683292 0.0010025859 0.000994368 0.001298431 0.0010217611 0.0010984616 0.0009341033 0.0009204067 0.0011066796 0.0013669136 0.0011094188 0.0011121582 0.0017038481 0.0011368119 0.0014107424 0.0020298255 0.0011642049 0.0020298255 0.0018052025 0.0010190217 0.0010135431 0.004325364 0.0010217611 0.0010601113 0.0009888894 0.002284581 0.0009368426 0.0012491234 0.0009039709 0.0008080952 0.0010491541 0.0014929216 0.00092588534 0.0010108039 0.0010080645 0.0009888894 0.0010025859 0.0018353348 0.0010245004 0.0011039402 0.0009806715 0.001029979 0.0016791944 0.0011833801 0.0008793172 0.00096423563 0.0009423212 0.0015723614 0.0022736238 0.0011313333 0.0022051411 0.0009751929 0.0009998466 0.0010108039 0.00089301367 0.0009998466 0.0009505391 0.00096697494 0.0014134818 0.0010491541 0.0010381968 0.0014080032 0.0009779321 0.0010327182 0.00096697494 0.0010710686 0.0009806715 0.0010190217 0.0009834107 0.0013943067 0.0009012316 0.0014299176 0.00096971425 0.0008437062 0.0009560177 0.0010518935 0.0010135431 0.0009176674 0.000958757 0.0009039709 0.0010272396 0.0009614963 0.0010245004 0.0010847651 0.00092862465 0.000895753 0.0009532784 0.0010354576 0.0009532784 0.0011833801 0.0010327182 0.0010381968 0.0013039096 0.000895753 0.0010327182 0.0010738078 0.000923146 0.00089301367 0.0008656206 0.00087657786 0.0009176674 0.00093136396 0.000923146 0.0020462614 0.0011039402 0.001451832 0.0011642049 0.0009368426 0.0010025859 0.0015860581 0.0013230847 0.001057372 0.0009614963 0.00094779977 0.0009779321 0.0009560177 0.0015038789 0.0009916287 0.0010162825 0.0015066181 0.0010327182 0.0010628506 0.0010354576 0.00093136396 0.0009368426 0.00091218884 0.0009806715 0.0010601113 0.0015038789 0.0013395206 0.0010272396 0.0008984923 0.0009532784 0.0014381355 0.0009998466 0.0010108039 0.00093136396 0.0009806715 0.0010272396 0.00093136396 0.0011970766 0.0010190217 0.0011148974 0.0010984616 0.001451832 0.0009149281 0.00106559 0.00096697494 0.0009834107 0.0008820564 0.00094506046 0.0010820258 0.00092862465 0.0015093575 0.00092588534 0.001057372 0.000994368 0.0009012316 0.00086835993 0.0010683292 0.0010464148 0.0010025859 0.0014107424 0.00087109924 0.00091218884 0.001092983 0.0025941224 0.3801978 6.8772006e-06 2.7508802e-06 4.1263206e-06 4.1263206e-06 5.5017604e-06 6.8772006e-06 2.7508802e-06 5.5017604e-06 5.5017604e-06 6.8772006e-06 4.1263206e-06 6.8772006e-06 9.628081e-06 8.252641e-06 4.1263206e-06 0.013534331 4.6764966e-05 3.7136884e-05 3.7136884e-05 3.7136884e-05 4.1263203e-05 2.7508802e-05 4.1263203e-05 3.0259684e-05 2.8884242e-05 4.9515846e-05 3.0259684e-05 3.163512e-05 4.2638643e-05 3.5761444e-05 3.3010565e-05 0.023539282 0.00010865977 0.00010040713 0.00013066681 0.00012791593 0.000119663295 0.00012654049 0.000119663295 0.00013066681 0.0001402949 9.628081e-05 0.00012516505 0.00012241417 0.00012516505 0.00012241417 0.000116912415 0.017560244 0.00011553697 0.0001402949 0.000116912415 0.00015955105 0.00018705986 0.00015129842 0.00012654049 0.00013891945 0.00015817562 0.00013341769 0.0001237896 0.00016505281 0.00014304578 0.00016230193 0.00013616857 0.011903059 8.252641e-05 0.00011416153 0.00011553697 0.0002021897 0.00017193002 0.00040025308 0.00021319323 9.765625e-05 0.00011553697 0.00010865977 7.840009e-05 0.00015267385 0.0001237896 8.390185e-05 0.000121038735 0.03007675 0.00041263204 0.00042638645 0.0003768706 0.0004869058 0.00041950925 0.0004951584 0.00046902508 0.00040988115 0.00042363556 0.0004043794 0.00040575484 0.0004896567 0.00046214787 0.00043051277 0.00043051277 0.02848674 0.0005309199 0.0006038182 0.0004800286 0.00071110256 0.0005763094 0.0005130392 0.0005144146 0.00050478656 0.00056255504 0.00047865318 0.00047590228 0.0005955656 0.00056255504 0.0004566461 0.0005666813 0.016362237 0.00033835828 0.0004043794 0.00036174076 0.00051991636 0.00043876542 0.0005859375 0.00050478656 0.00033423197 0.00035211266 0.00031360035 0.00044701804 0.00041675835 0.000390625 0.00040713028 0.00035761442 0.054980468 0.0030589788 0.0018761003 0.0013974472 0.003756327 0.0015006051 0.0015569982 0.0015171105 0.0014579665 0.0016216439 0.0015391175 0.0014084507 0.0015514964 0.001503356 0.0015102333 0.0014538402 0.029776903 0.0009806888 0.0009944432 0.0029544453 0.0021388095 0.0030754842 0.0058579994 0.0021181777 0.0009738116 0.0010714679 0.00092979753 0.0010742188 0.0012227662 0.0010838468 0.0009820643 0.001103103 0.019399207 0.00090641505 0.00095455546 0.0008734045 0.0010412082 0.00095180457 0.0009916923 0.0009683099 0.00094630284 0.0009352993 0.0010274538 0.0009146677 0.0009793134 0.0010288293 0.0008802817 0.0010040713 0.015876705 0.001021952 0.0011209837 0.0009050396 0.0011319872 0.0009875661 0.0009903169 0.0009132922 0.0011787522 0.0009215449 0.0009806888 0.0009256712 0.0010852222 0.00094355195 0.0009848152 0.0010178257 0.021302817 0.0016051386 0.001687665 0.0014896017 0.0018705986 0.0018678477 0.002046655 0.0017509353 0.0017206756 0.0018705986 0.0016230193 0.0016051386 0.0020246478 0.0019022337 0.0016587808 0.0018609705 0.026396072 0.0028361576 0.0038209727 0.0029544453 0.00390625 0.0035513865 0.0040547973 0.003265295 0.0042721173 0.0029283122 0.0026821082 0.0026986136 0.0035018707 0.0030479752 0.002959947 0.0031800177 0.020561455 0.0031965228 0.004294124 0.0032556667 0.0046256054 0.0037013094 0.0035142496 0.0034207196 0.005149648 0.0034303477 0.0030245928 0.0029750771 0.003931008 0.0035293794 0.0032735476 0.0041730856 0.0078496365 0.0025651958 0.0027797646 0.0024785432 0.002803147 0.00268761 0.0027632592 0.00259408 0.0025239326 0.002653224 0.002584452 0.0026380941 0.002803147 0.0027701363 0.0026257152 0.0027673854 1234.0 6.094003 7520.0 0.0037234044 0.0037234044 0.002393617 0.0050531914 0.0051861703 0.002925532 0.0033244682 0.0031914893 0.0027925533 0.0022606384 0.002925532 0.004388298 0.0037234044 0.005718085 0.0051861703 0.0030585106 0.0025265957 0.004654255 0.0041223406 0.057446808 0.056648936 0.003856383 0.002925532 0.0041223406 0.002393617 0.0031914893 0.0022606384 0.0026595744 0.004255319 0.0034574468 0.004255319 0.003856383 0.006117021 0.0039893617 0.0051861703 0.005984043 0.004388298 0.0051861703 0.0041223406 0.0039893617 0.0050531914 0.004787234 0.059042554 0.006117021 0.004787234 0.0035904255 0.004521277 0.003856383 0.0070478725 0.0039893617 0.056914892 0.0051861703 0.0054521277 0.004521277 0.0050531914 0.057446808 0.0039893617 0.0031914893 0.004255319 0.0035904255 0.0037234044 0.0025265957 0.0035904255 0.002393617 0.0027925533 0.0054521277 0.004255319 0.0054521277 0.0066489363 0.0121010635 0.0035904255 0.0031914893 0.05332447 0.0037234044 0.056781914 0.005718085 0.0074468087 0.004654255 0.16662234 0.004787234 0.0034574468 0.0030585106 0.06542553 0.0037234044 0.008244681 0.004388298 0.002393617 0.0031914893 0.004521277 0.0035904255 0.003856383 0.0041223406 0.0031914893 0.004255319 0.0065159574 0.0037234044 5.221835 0.0 0.0 0.0 5.0 365056.0 385024.0 1.0 0.0 16.0 0.0 1.0 0.0 0.0 0.0 1540876500.0 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 0.0 0.0 13.0 0.0 5.0 0.0 5.0 0.0 14848.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -330752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 -1024.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8414154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.456199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9223385 -4.385154 3.3056805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -330601.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14526.0 -884.0 1040.0 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 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 -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 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -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 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 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 -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 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 -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 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 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 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 2.0 0.0 4337.0 45164.0 1040.0 380928.0 0.0 0.0 0.0 0.0 0.0 0.0 4294963200.0 17216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.20593016 0.014746242 0.007916737 0.008507853 0.009763976 0.005214491 0.006956173 0.0034833644 0.009046191 0.0029133593 0.0031244722 0.003103361 0.006956173 0.0041589257 0.0020266846 0.009827309 0.0067872824 0.0013511231 0.001171677 0.0024911333 0.0033778078 0.0027444689 0.0022483533 0.0014989022 0.0029555818 0.0014777909 0.0012244553 0.0015200136 0.002290576 0.0019316839 0.0012244553 0.0022377977 0.008877302 0.0010661206 0.0011505658 0.0016783483 0.0035994765 0.0017311265 0.001055565 0.0012772336 0.001657237 0.00082334067 0.0011822328 0.0028183584 0.0015200136 0.0053094914 0.0021850194 0.0016783483 0.010650651 0.0039583687 0.0028394696 0.007589512 0.0028394696 0.0029344705 0.0023327984 0.0023644655 0.00300836 0.0035466983 0.0024277994 0.0055944943 0.002923915 0.0030505827 0.0019633507 0.0020689073 0.010080645 0.014271238 0.0013405675 0.0022166863 0.004243371 0.008676744 0.0031350278 0.002617801 0.0027550245 0.0023222428 0.0012877892 0.000812785 0.0017944603 0.0040428136 0.0017205708 0.0025544672 0.00553116 0.0018050161 0.0012561223 0.0039055902 0.0020900185 0.00577394 0.0035255868 0.003884479 0.0016361256 0.004940044 0.0010450092 0.001657237 0.001171677 0.0042117042 0.0025439116 0.002047796 0.001414457 0.005700051 0.0011611214 0.003641699 0.0030928052 0.008951191 0.006080054 0.0016994595 0.004908377 0.004760598 0.0052778246 0.0011927884 0.0037472555 0.0031350278 0.005151157 0.005267269 0.0030928052 0.00073889544 0.006523391 0.0055522714 0.014999578 0.0118645495 0.0027550245 0.0021744638 0.001836683 0.0026600237 0.001235011 0.000812785 0.0015516805 0.00325114 0.00138279 0.0022377977 0.004053369 0.0030294713 0.0021533524 0.012360665 0.0028183584 0.010545094 0.0020900185 0.0007494511 0.0027339133 0.011685104 0.0017839047 0.023232983 0.0011188989 0.0071145077 0.0008761189 0.00084445195 0.0016044587 0.0005911164 0.00065445027 0.00057000504 0.0012877892 0.0016466813 0.0005383381 0.00045389292 0.0010450092 0.00071778416 0.00057000504 0.0005172268 0.001171677 0.0009816753 0.00048555987 0.0005805607 0.0016150144 0.0015094578 0.00046444856 0.0015727917 0.0010977875 0.0011294545 0.00057000504 0.00060167204 0.0013405675 0.00080222933 0.0006227833 0.0006966729 0.0011822328 0.00044333728 0.00054889376 0.0005277825 0.0012455666 0.00050667115 0.00050667115 0.00047500423 0.0011083431 0.0011400101 0.0015622361 0.0014883466 0.0018577942 0.0007916737 0.0010766762 0.00060167204 0.0012561223 0.0013722344 0.0011505658 0.0010344536 0.008032849 0.00511949 0.0022800202 0.005510049 0.0032194732 0.0013194561 0.002586134 0.0040111467 0.0032405844 0.002617801 0.00084445195 0.0010766762 0.0037261443 0.0009816753 0.0012244553 0.001171677 0.0024805777 0.0013300119 0.0014039014 0.0013722344 0.0015305692 0.0005805607 0.001171677 0.00082334067 0.002617801 0.0007494511 0.0006861172 0.0015833474 0.00186835 0.00088667456 0.000633339 0.0005805607 0.00511949 0.0011927884 0.0010661206 0.000812785 0.0024172438 0.0027550245 0.00073889544 0.00073889544 0.012128442 0.0029028035 0.0011083431 0.0047922647 0.003430586 0.0005911164 0.0008972302 0.00088667456 0.0043278164 0.0014883466 0.00071778416 0.0014566797 0.002016129 0.00072833983 0.00300836 0.0029133593 0.0043067047 0.0017839047 0.0011611214 0.00095000846 0.003937257 0.00536227 0.0037578112 0.04408039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010210981 0.00023609203 0.00015560612 5.365728e-06 5.902301e-05 4.8291553e-05 6.975447e-05 2.682864e-05 3.7560098e-05 1.0731456e-05 1.6097185e-05 2.1462913e-05 5.365728e-06 5.365728e-06 1.6097185e-05 6.438874e-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 0.009379293 0.0003648695 0.0003058465 1.0731456e-05 0.00019853194 0.00014487466 0.00017706903 0.00014487466 5.902301e-05 1.6097185e-05 5.365728e-05 5.365728e-06 1.0731456e-05 1.6097185e-05 1.6097185e-05 8.585165e-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 0.0064657023 0.0 0.00089071086 0.0 0.00019316621 0.00011804602 0.002205314 0.0011160715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039534684 0.00048828125 0.0031228538 0.0006653503 0.004179902 0.0017814217 0.009234418 0.0051993905 0.00035950379 0.00015560612 0.00014487466 6.438874e-05 0.00011268029 0.00010731456 8.048592e-05 0.00070291036 0.017583491 0.000611693 0.0017009358 0.00043462397 0.0017492273 0.0007619334 0.005741329 0.0032462655 0.00011268029 9.6583106e-05 5.365728e-05 5.902301e-05 8.048592e-05 6.438874e-05 5.365728e-05 0.0006170587 0.02885152 0.002779447 0.0025165265 0.0011160715 0.004657452 0.001223386 0.0058486434 0.003471626 0.0008263221 0.00042389252 0.0004399897 0.00045608688 0.00086924795 0.00043462397 0.0006385216 0.00039169815 0.022198018 0.0019370278 0.0023770174 0.0024521376 0.0025970123 0.00077803055 0.003155048 0.0022375085 0.0008048592 0.0005419385 0.0005312071 0.0005151099 0.00055803574 0.000670716 0.0005687672 0.0020336108 0.027220339 0.0017599588 0.0023179946 0.012217763 0.0039545414 0.0024575035 0.0053335335 0.003884787 0.0029887105 0.0014326493 0.0016097184 0.0014219179 0.0027687156 0.0015882555 0.0019584908 0.0040081986 0.011117788 0.001341432 0.0014165522 0.005365728 0.0017277644 0.0009980254 0.0016043527 0.0019423935 0.0043677026 0.0009229052 0.00072437327 0.0012770433 0.002114097 0.0012877748 0.0017545931 0.005993518 0.054505065 0.008606628 0.005269145 0.012958233 0.016794728 0.013725532 0.008075421 0.014541123 0.034657236 0.0029457847 0.00276335 0.004915007 0.016494248 0.0044911145 0.016676683 0.035327952 0.068005234 0.015142084 0.013639681 0.020293184 0.025846712 0.022477034 0.01845274 0.023501888 0.041718535 0.005430117 0.0068305717 0.006750086 0.02270776 0.010329027 0.018699562 0.031824134 0.007302756 0.0029457847 0.0034823576 0.0043945312 0.0022643371 0.0025916467 0.0050223214 0.0035038204 0.0020819025 0.0013360663 0.0014487465 0.0014755753 0.0016150841 0.001341432 0.0014058207 0.0017438616 521.0 15.282149 7962.0 0.04107008 0.0013815624 0.0027631249 0.0022607385 0.0037678976 0.0022607385 0.0033911078 0.004270284 0.005023863 0.0026375283 0.0008791761 0.003014318 0.0052750567 0.0071590054 0.017206732 0.0119316755 0.039186135 0.024114544 0.017332328 0.013313238 0.008289374 0.0110524995 0.010550113 0.009419744 0.010173324 0.010047726 0.008038182 0.010173324 0.009042954 0.008666164 0.0077869883 0.005651846 0.0037678976 0.008414971 0.0022607385 0.013062045 0.00514946 0.0065310225 0.006028636 0.0072846017 0.0067822156 0.0070334086 0.0022607385 0.001507159 0.004898267 0.0037678976 0.0032655112 0.0027631249 0.012182869 0.002135142 0.0031399145 0.017206732 0.009796534 0.002386335 0.0038934941 0.0096709365 0.004144687 0.0031399145 0.004521477 0.0022607385 0.0022607385 0.0017583522 0.003014318 0.002135142 0.0033911078 0.035418235 0.00477267 0.027380055 0.014569203 0.062547095 0.0064054257 0.008666164 0.017457925 0.03165034 0.0052750567 0.0020095455 0.021100227 0.019593067 0.02825923 0.03190153 0.014066817 0.0013815624 0.036046218 0.028133634 0.058904797 0.011303692 0.0064054257 0.010173324 0.0074101985 0.011429289 0.002135142 0.0010047727 0.0020095455 0.0010047727 0.0007535795 0.0018839488 5.903682 0.0 24.0 0.0 3.0 94736.0 102400.0 0.0 0.0 66.0 1.0 1.0 1.0 0.0 0.0 1484309200.0 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 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 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 12.0 0.0 5.0 1.0 5.0 1.0 51200.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51200.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5716696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.632296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2642403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6585383 0.0 4.13451 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18454.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50756.0 0.0 1328.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -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 -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 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 -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 -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 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 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -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 0.0 0.0 0.0 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 -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 -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 -1.0 -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 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 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 60.0 74212.0 1328.0 94208.0 0.0 0.0 13840.0 80896.0 3416.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 73312.0 0.0 0.0 272.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.14760336 0.02171258 0.013673449 0.010761861 0.012738593 0.0072207395 0.0049701603 0.0029525082 0.009899401 0.004960717 0.0032483884 0.0025307212 0.003175992 0.003969203 0.0019232222 0.0139063755 0.012005188 0.0017973157 0.0014070055 0.0014919924 0.001813054 0.0020869006 0.001224441 0.0011457494 0.004570407 0.0024079622 0.0009757756 0.0015895698 0.001457368 0.0011488971 0.0010387289 0.0027730912 0.01272915 0.0022789082 0.0017375101 0.0012590652 0.016012162 0.0023796333 0.00072081486 0.0021435586 0.004195835 0.0012842466 0.0010481719 0.0030060182 0.0013566428 0.001813054 0.0020617193 0.0021781828 0.0071798195 0.0020050614 0.0017375101 0.0057979957 0.0020994914 0.0011426017 0.000991514 0.0009978092 0.0034183622 0.0021467062 0.002064867 0.0047970386 0.0024268483 0.0015392073 0.0016745568 0.0009128223 0.005615431 0.011520447 0.0025621979 0.004176949 0.007689741 0.005741338 0.0017217718 0.002187626 0.06883625 0.011586548 0.0015455026 0.0014133007 0.012578062 0.0052849264 0.0014195961 0.001457368 0.003877921 0.0011079775 0.0015108783 0.0021750352 0.003512792 0.0030500856 0.0016777045 0.0022631697 0.0022379884 0.00091596995 0.0009096747 0.0014794017 0.0030626762 0.0015203214 0.0014258914 0.0025086876 0.0022663174 0.0053226985 0.0016304895 0.0031067436 0.003821263 0.0067422944 0.0036418464 0.0020963438 0.0023513043 0.0044413526 0.0006735999 0.0010576148 0.004778153 0.0024866539 0.003962908 0.004057338 0.0042115734 0.0008719027 0.007082242 0.004372104 0.015568342 0.0062921788 0.0017721343 0.0019074839 0.0023827811 0.0019295175 0.0008719027 0.0010041045 0.0020680148 0.0010670578 0.00095374195 0.0012873942 0.0042493455 0.0025370165 0.0013975624 0.011142728 0.0038055247 0.012606391 0.0011488971 0.0011205681 0.0023575998 0.016364701 0.00040290089 0.039459106 0.0008404261 0.012127946 0.00073970086 0.00074914383 0.0017501008 0.00055084104 0.0005288074 0.00052251207 0.0006232373 0.0007459962 0.00045955883 0.00056972704 0.0010072523 0.00056657934 0.00043437752 0.0005036261 0.0007585868 0.00047214946 0.00046585416 0.00045955883 0.0015171736 0.0006106467 0.00044382052 0.000626385 0.0007522915 0.00035568594 0.00038086725 0.00050992146 0.0011520447 0.00044696816 0.0007522915 0.00043437752 0.0008120971 0.0004878878 0.00050047843 0.00058861304 0.001504583 0.00042493452 0.0004627065 0.0004375252 0.000991514 0.00045011583 0.0019169268 0.0019043363 0.002373338 0.0010796485 0.0015014353 0.0007617345 0.0008593121 0.00072081486 0.000598056 0.00074914383 0.008759947 0.0045578163 0.0029178837 0.0052628927 0.003626108 0.0012087027 0.0027605006 0.008473509 0.0036103697 0.0031350725 0.0013849718 0.0019137792 0.020233179 0.00091911765 0.0017091811 0.0018948932 0.0021718876 0.0015171736 0.0017501008 0.0010890914 0.0008719027 0.0006924859 0.0010387289 0.0010859438 0.0022757605 0.0011740783 0.0006735999 0.0014636634 0.0006735999 0.00056028407 0.00060120365 0.0008907887 0.0020333903 0.0007428485 0.00079950644 0.00058861304 0.0010607624 0.00063582795 0.00056028407 0.0006956336 0.012257 0.0027636483 0.00077117747 0.0042178687 0.002420553 0.00088764104 0.00073655316 0.00076488213 0.0021057867 0.0010198429 0.0010229906 0.0009442989 0.00090337935 0.0006641569 0.0021341157 0.0013723811 0.004129734 0.0013723811 0.0019295175 0.00090337935 0.0009757756 0.0012401793 0.0021089343 0.019792506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026025865 4.1085153e-05 0.000120095065 0.00013115646 8.84911e-05 6.320793e-06 8.69109e-05 1.8962379e-05 3.0023766e-05 1.5801983e-06 2.2122775e-05 7.9009915e-06 0.0 1.5801983e-06 1.5801983e-06 7.5849515e-05 0.004645783 0.00013905745 0.00021964755 0.00016276042 7.900991e-05 9.639209e-05 0.00047563965 0.0002591525 0.000109033674 6.320793e-06 4.582575e-05 2.5283172e-05 2.3702973e-05 2.686337e-05 2.8443568e-05 0.00012957625 0.008466702 0.0013242061 0.00074269314 0.0006146971 0.00028759608 0.00022122775 0.00015643962 0.00015643962 0.00015169903 2.8443568e-05 1.738218e-05 2.0542577e-05 0.00012483566 0.00015327922 0.00015169903 0.00032710104 0.005276282 4.8986145e-05 0.0014316596 0.00038714855 0.0009560199 0.00064946146 0.006036357 0.0033658221 0.0005483288 5.5306937e-05 6.320793e-05 6.320793e-05 0.00038398817 5.6887136e-05 6.7948524e-05 2.686337e-05 0.032724325 0.0014063764 0.005859375 0.0041353786 0.00390783 0.0028506776 0.011698208 0.0075580883 0.003378464 0.000494602 0.0012926022 0.0005593902 0.003092448 0.00045193668 0.0007379526 0.0007584951 0.048136 0.004119577 0.009278924 0.006480393 0.0054564243 0.0044371965 0.013373218 0.008098516 0.0026357707 0.0013668714 0.0012088517 0.0011219408 0.0024856518 0.0012704794 0.0019562854 0.0018425111 0.009040314 0.0005230456 0.0016465666 0.0012688992 0.0015391131 0.0006131169 0.0020621587 0.0013384279 0.0012499368 0.00029391688 0.00036344558 0.0002623129 0.0013858338 0.000175402 0.00048670106 0.00040453076 0.03020233 0.0057376996 0.004263375 0.0035996914 0.024989255 0.0029928954 0.0015422734 0.00478484 0.019475942 0.0008896516 0.00066684367 0.0019957903 0.010247585 0.0022122776 0.004495664 0.0048812325 0.11020461 0.020713238 0.02654417 0.017238382 0.10321381 0.016941305 0.008743237 0.021982137 0.07892458 0.0046884483 0.0037766737 0.010062702 0.051056206 0.011507004 0.020947108 0.030673228 0.0082881395 0.002917046 0.0038066974 0.0041401195 0.0035665075 0.0025788834 0.0053205276 0.0038319807 0.0031129904 0.0012499368 0.0013336873 0.0011898893 0.0021996358 0.0013447487 0.001641826 0.0020210736 0.0050993 0.0019325825 0.002239141 0.002694238 0.001689232 0.0018472517 0.0028633191 0.0022091172 0.0017176755 0.0013099844 0.0015090893 0.001395315 0.0015675566 0.0013115645 0.0014490418 0.0015280517 1490.0 22.309397 33241.0 0.06341566 0.00081224996 0.009265666 0.0010529166 0.012243915 0.013086249 0.00093258324 0.0008724166 0.0029481663 0.0018049999 0.00018049999 0.0031587498 0.002557083 0.007159833 0.009175416 0.013898498 0.017658915 0.0075208326 0.0056556663 0.0083932495 0.0033091663 0.0038807497 0.0021659997 0.0019253332 0.0038807497 0.0045124996 0.012574832 0.0076712496 0.010890165 0.007159833 0.010228332 0.00021058331 0.0040311664 0.03098583 0.002196083 0.011130832 0.0123040825 0.0067988327 0.0036701662 0.0054450827 0.013778166 0.006197166 0.0015944166 0.0020456666 0.008032249 0.0027074998 0.0037904996 0.0044824164 0.008724166 0.0014740832 0.005535333 0.008964833 0.011040582 0.009024999 0.0089949155 0.008483499 0.003820583 0.0018049999 0.0018651665 0.0024066665 0.0032790832 0.0049637496 0.0065581664 0.010679582 0.0011732499 0.044102162 0.009777082 0.022953581 0.024217082 0.05806083 0.00875425 0.012935832 0.010408833 0.033994164 0.0015643332 0.0036701662 0.027496165 0.017207665 0.031918414 0.032279413 0.015432749 0.0013838332 0.039860412 0.030925663 0.05643633 0.011491832 0.009175416 0.0063174996 0.0053247497 0.008032249 0.0028278332 0.0011130832 0.0021058333 0.0011431666 0.00033091663 0.0005715833 5.8096523 0.0 51.0 0.0 2.0 317696.0 311296.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1540991400.0 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 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 -2.0 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 0.0 14.0 15.0 5.0 2.0 5.0 2.0 226304.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226304.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.935291 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0245934 0.0 0.0 0.0 0.0 5.5970697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3399243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.290773 0.0 3.3597422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53057.0 0.0 0.0 0.0 0.0 11952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2138.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -225923.0 0.0 1088.0 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 -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 81.0 286448.0 0.0 0.0 1088.0 303104.0 11952.0 290816.0 21248.0 296448.0 520.0 307200.0 56.0 272496.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 271792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.09580046 0.007027357 0.0067483387 0.0042242007 0.0046200166 0.0036986088 0.0070662894 0.00417229 0.0042306893 0.0029199542 0.009694248 0.0033676806 0.003633721 0.0027901786 0.0054440927 0.0042826 0.0040749586 0.0027836899 0.0034715012 0.0030951516 0.0031081291 0.0026798693 0.00454864 0.003387147 0.004490241 0.0030302638 0.0029459095 0.002316497 0.0037505191 0.004139846 0.002712313 0.0047433036 0.013425301 0.0038802947 0.0022191652 0.0027382683 0.002777201 0.002225654 0.0027642234 0.002932932 0.0066120746 0.0026604028 0.0030886629 0.0024592504 0.0030562188 0.0031275954 0.0042890883 0.0026733803 0.0042826 0.0037375416 0.0029523983 0.0033027928 0.0031081291 0.0033352368 0.0032119497 0.0048990343 0.003542878 0.004730326 0.003484479 0.0036207433 0.0030951516 0.0025825375 0.003718075 0.0037440304 0.0038802947 0.0035299002 0.0030691964 0.0042371782 0.002868044 0.0027317796 0.0023554298 0.0029134655 0.0025695597 0.0032119497 0.0017195287 0.0018493044 0.0025306272 0.003173017 0.0031859947 0.0036986088 0.0035623442 0.0023878738 0.0025695597 0.004081447 0.0028356002 0.002744757 0.0024852057 0.0031405732 0.002900488 0.0024592504 0.0025306272 0.0024657391 0.004490241 0.0024916944 0.0027317796 0.0055738683 0.0030367526 0.0058983075 0.0034715012 0.0060540386 0.003601277 0.009415231 0.0030562188 0.0048990343 0.0031340844 0.006008617 0.002868044 0.0033092815 0.004697882 0.0045875725 0.006968958 0.01514483 0.0077021904 0.0034585237 0.01059619 0.0066380296 0.008422446 0.004632994 0.0033157703 0.0045940615 0.004023048 0.00674185 0.003296304 0.0034585237 0.0038024294 0.004087936 0.003997093 0.0034715012 0.0044772634 0.0031600394 0.002926443 0.0033741693 0.0031275954 0.002686358 0.0028939992 0.003847851 0.0025436047 0.0024527616 0.0021867214 0.0031340844 0.0025500935 0.0025565822 0.0035363892 0.0030756851 0.0031275954 0.00240734 0.0021218334 0.003017286 0.001953125 0.0024138289 0.0021218334 0.0026993356 0.0025695597 0.002537116 0.0033676806 0.005366227 0.0037310529 0.0030951516 0.0030886629 0.0035947883 0.0030886629 0.002777201 0.00304973 0.0025436047 0.0022061877 0.0015897529 0.0029783533 0.0032833265 0.0029653758 0.0025825375 0.0027512459 0.002958887 0.0026733803 0.0021737437 0.002868044 0.0029069767 0.0027188018 0.002926443 0.0019725913 0.003205461 0.0020374793 0.0031665282 0.002316497 0.0024981832 0.003568833 0.0031211067 0.0019336586 0.0023294748 0.0045551285 0.0027901786 0.003387147 0.0038932725 0.0034715012 0.0028485777 0.0028226224 0.003627232 0.002712313 0.002991331 0.0030302638 0.0035882995 0.003296304 0.00262147 0.0031795057 0.0023878738 0.0027512459 0.005398671 0.0034585237 0.0035363892 0.0025890262 0.0026604028 0.0018817483 0.0026733803 0.0029783533 0.002777201 0.0027577346 0.00326386 0.0026993356 0.002199699 0.0026733803 0.0021607662 0.0034390574 0.0020245016 0.004691393 0.0040165596 0.0031665282 0.003568833 0.0026409365 0.0033417256 0.0034650124 0.0032249272 0.0057815094 0.003932205 0.002958887 0.0021802327 0.0030107973 0.0028615552 0.0029134655 0.0027188018 0.0036142545 0.0035882995 0.0029848423 0.0028291112 0.0033027928 0.006041061 0.00262147 0.0026993356 0.002777201 0.0038089182 0.002958887 0.004340999 0.0034585237 0.0038543397 0.0039841156 0.0033676806 0.0034585237 0.0031340844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0067146863 0.0 0.0047484534 0.0014713978 2.2939388e-05 0.00014419043 0.00012780516 0.00019334626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024119128 2.9493498e-05 0.002313601 0.0011338611 0.0019858954 0.0031197567 0.019301856 0.007933751 0.00023594798 0.00022939387 0.0 0.0 0.0 0.0 0.0 0.0 0.041261405 0.0047779465 0.0057708947 0.0009110214 0.0014025797 0.0015729866 0.010597997 0.012262741 0.00029821205 0.00044240247 0.0001474675 0.0003834155 0.00024577914 0.00014419043 0.00013435927 0.0001835151 0.023473548 0.0027953282 0.0047025746 0.0011568005 0.0013370386 0.0011174759 0.004791055 0.004135644 0.00053416 0.000353922 0.0007471686 0.00028182677 0.00060625526 0.00032770555 0.0003604761 0.00025888736 0.0057643405 0.0007471686 0.0005865929 0.00021628565 0.00052432885 0.0004620648 0.002598705 0.0013435927 0.0003670302 7.2095216e-05 0.000176961 9.175755e-05 0.0003244285 5.8986996e-05 6.226405e-05 2.6216443e-05 0.0019138004 0.00061936345 0.0005767617 0.00033098258 0.00024577914 0.0003080432 0.0014386273 0.00091429846 0.00021300859 1.9662331e-05 2.6216443e-05 4.915583e-05 9.831166e-06 3.2770554e-06 1.6385276e-05 2.6216443e-05 0.0025855966 0.00016057571 0.00027527264 0.00030476614 0.0003375367 0.00030476614 0.0008422032 0.0004194631 0.00019006922 0.00023267094 0.00019990037 0.0001540216 0.00018679215 0.00017040689 0.000176961 0.00017040689 0.0026150902 0.00026871855 0.00031132027 0.00023594798 0.00037686137 0.00037686137 0.0005439912 0.0003965237 0.000294935 0.00020317743 0.0002719956 0.00016712982 0.0001835151 0.00016712982 0.00014091338 0.00015729865 0.002729787 0.00047517303 0.000711121 0.00079632446 0.00073078333 0.00072422926 0.0019367398 0.0014353503 0.00039980075 0.00052760594 0.00042929425 0.0004325713 0.0004915583 0.00041290896 0.00052760594 0.00066196517 0.052504983 0.04582962 0.041130323 0.05121382 0.040871434 0.041684143 0.04405018 0.05365195 0.046455536 0.04559367 0.041808672 0.045308568 0.05016844 0.044643324 0.052075688 0.0546875 729.0 11.305899 8242.0 0.010313031 0.0033972338 0.0029119146 0.0029119146 0.0025479253 0.0020626062 0.0029119146 0.0035185635 0.0021839358 0.0018199466 0.0035185635 0.0033972338 0.0066731377 0.0040038824 0.018442126 0.0025479253 0.009827712 0.0043678717 0.0033972338 0.0043678717 0.0047318614 0.0050958507 0.0036398931 0.00521718 0.00521718 0.0043678717 0.0025479253 0.0050958507 0.0023052657 0.0046105315 0.0031545742 0.0025479253 0.0038825527 0.011647658 0.007886435 0.0131036155 0.009706382 0.007158457 0.0060664886 0.0055811694 0.0061878185 0.008614414 0.0021839358 0.0035185635 0.0041252123 0.008978403 0.0035185635 0.0067944676 0.009221063 0.0021839358 0.009221063 0.019291434 0.008857073 0.0032759039 0.00521718 0.0041252123 0.004246542 0.0019412764 0.0035185635 0.0030332443 0.003761223 0.0023052657 0.0035185635 0.01625819 0.0033972338 0.03203106 0.014802232 0.025357923 0.014074254 0.0831109 0.007037127 0.017350158 0.007401116 0.04331473 0.0063091484 0.0049745208 0.025600582 0.019534094 0.038825527 0.04853191 0.017714147 0.003761223 0.043436058 0.041252125 0.067944676 0.024387285 0.007886435 0.007522446 0.0067944676 0.01674351 0.0044892016 0.0025479253 0.0024265954 0.0019412764 0.0038825527 0.0030332443 5.7902536 0.0 0.0 0.0 2.0 154112.0 180224.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541969400.0 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 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 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 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 143872.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143872.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6097293 0.0 7.6556983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143568.0 0.0 9132.0 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 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 -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 79.0 151672.0 9132.0 155648.0 0.0 0.0 0.0 0.0 12.0 172032.0 28.0 151360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0