Input: 0.056735538 0.008311357 0.006183244 0.005654584 0.005761353 0.0049704365 0.0042002522 0.0054203155 0.00505129 0.0056183035 0.0037400073 0.0044708014 0.004955924 0.0031750672 0.0043267156 0.004642875 0.005049217 0.0037628121 0.004934156 0.0041639716 0.0043526306 0.0031771404 0.004110069 0.0038374464 0.005077205 0.003351287 0.0031740307 0.0029314691 0.004145313 0.003434214 0.0037876903 0.0037887269 0.0061728777 0.0038146416 0.0034912264 0.0030268352 0.004886473 0.004172264 0.0038395196 0.003718239 0.0047351313 0.0038986052 0.0033378114 0.0030983598 0.0043619596 0.0037192756 0.0037234218 0.0035762265 0.0055208644 0.0039556175 0.0031066523 0.0028900057 0.0036726291 0.0030734816 0.0026857979 0.0028620178 0.004170191 0.003321226 0.003527507 0.0033575066 0.004007447 0.0032331161 0.003497446 0.0034528726 0.0066040982 0.0039576907 0.0036166534 0.0032217137 0.004154642 0.0032165307 0.0035409825 0.003067262 0.0050077536 0.003776288 0.0037099463 0.0035917752 0.0041339104 0.0031222012 0.0035606776 0.0034549457 0.0051663513 0.003624946 0.003655007 0.0033347015 0.003923483 0.0033823845 0.0033585432 0.0035368362 0.0046532406 0.0036487875 0.0038125685 0.0035057385 0.0041059228 0.003381348 0.003688178 0.0037887269 0.005908548 0.0036280558 0.0033429943 0.0029511643 0.004007447 0.0030465303 0.0032652502 0.003037201 0.0049694 0.003162628 0.0031937258 0.0030444572 0.0035741534 0.0028423227 0.003082811 0.0031843965 0.0045081186 0.0032807991 0.0032227503 0.0031346402 0.003886166 0.0033326284 0.0032984212 0.0036280558 0.004629399 0.0032942747 0.003476714 0.0031698842 0.0040333616 0.0031916525 0.003469458 0.0033409211 0.008643066 0.004598302 0.00401263 0.003522324 0.004362996 0.0034404336 0.0030185424 0.0033886041 0.004537143 0.0038333002 0.0029636032 0.0031812866 0.0037265318 0.0027925663 0.0028402493 0.0029843352 0.0052295835 0.003215494 0.0034881167 0.0030175059 0.0036695194 0.00318336 0.003303604 0.0032704333 0.0045412895 0.0028392128 0.0030434206 0.0026992736 0.0035140312 0.0032300062 0.0029801887 0.0031564087 0.00501501 0.0034134823 0.003261104 0.0027925663 0.003778361 0.0030154327 0.0030486034 0.00318025 0.0041339104 0.0029936645 0.003120128 0.0030143962 0.003647751 0.0028392128 0.0029159202 0.003042384 0.0046687895 0.003112872 0.0038498857 0.002851652 0.0035658607 0.0031584818 0.0029781156 0.0031242743 0.0042551914 0.0031470794 0.003336775 0.0031667745 0.0036446413 0.0032009818 0.0033326284 0.0033419577 0.006720196 0.0040582395 0.0037213487 0.0033347015 0.0041318373 0.0032548844 0.0033015308 0.003231043 0.0043350086 0.0033274456 0.0031159816 0.0030797012 0.0036415316 0.0029760425 0.0030745182 0.0027998225 0.004254155 0.003273543 0.003100433 0.0029998838 0.003716166 0.003019579 0.0029345788 0.002941835 0.0039670197 0.0031056157 0.0027241516 0.0026422613 0.003542019 0.0029532374 0.0035855558 0.002883786 0.004955924 0.0032486648 0.0033958603 0.0029708594 0.003808422 0.0030734816 0.003190616 0.002913847 0.004441777 0.005454523 0.0034725678 0.003135677 0.003795983 0.0030817743 0.0032362258 0.00318025 0.0046065943 0.003323299 0.003414519 0.0030413475 0.0037483 0.0031014695 0.003316043 0.0032403723 0.0043557403 0.0030392741 0.0031843965 0.002858908 0.0040033003 0.0030921402 0.004230313 0.004519521 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 0.004584966 0.0002926574 0.00027397714 0.0002667126 0.00030614872 0.00023869221 0.00033001794 0.00030459202 0.00032638566 0.00035233048 0.00032534788 0.00035388715 0.00051993394 0.00015774442 0.00018835929 0.00074254035 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 0.09924511 0.06203351 0.062455893 0.05534131 0.06061122 0.059555784 0.054911662 0.054457627 0.060439464 0.05314534 0.052120004 0.052940376 0.05641802 0.05056487 0.056658786 0.053840663 4038.0 5.7020802 23025.0 0.017198697 0.010510315 0.009598263 0.008686211 0.01359392 0.012551574 0.011769815 0.011465798 0.012595005 0.009641694 0.008469055 0.008729641 0.013811075 0.010466884 0.011682954 0.009858849 0.016634094 0.01194354 0.00864278 0.007470141 0.009815418 0.008555917 0.00781759 0.008555917 0.010249728 0.008599348 0.009554831 0.008946797 0.011422367 0.009120521 0.009554831 0.009163952 0.018110748 0.010901194 0.010336591 0.008990228 0.010770901 0.008816504 0.010770901 0.008295331 0.014288817 0.011682954 0.009728556 0.008946797 0.011509229 0.009294245 0.011639522 0.009554831 0.014809989 0.009554831 0.010032574 0.009120521 0.012117264 0.009424538 0.009554831 0.009728556 0.013680782 0.009250814 0.010466884 0.00946797 0.011205211 0.009858849 0.010336591 0.010684039 0.017850162 0.011031488 0.009641694 0.008165038 0.013072747 0.0082084695 0.009381107 0.008338762 0.015418024 0.009250814 0.008946797 0.00864278 0.011335505 0.008034745 0.00990228 0.007947883 0.013159609 0.008078176 0.008686211 0.008729641 0.011422367 0.009511401 0.008382193 0.007991314 0.011074918 0.008903366 0.011813247 0.008512487 0.011161781 0.008946797 0.010076004 0.008773073 6.554867 0.0 0.0 0.0 14.0 964704.0 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: 0.07307388 0.005278616 0.0043316465 0.0037323923 0.004037568 0.003593676 0.0034494111 0.0039580376 0.0046201763 0.0035529858 0.0034494111 0.004762592 0.0042243726 0.0034290662 0.0032570579 0.0046275747 0.004244718 0.0034179688 0.0035344905 0.004884662 0.0038618608 0.0034346147 0.0032681553 0.0031090938 0.003798976 0.003297748 0.0032921992 0.0033809778 0.003597375 0.003170129 0.0033698804 0.0034179688 0.0042206733 0.003301447 0.0032940488 0.0030832002 0.008256392 0.003203421 0.0031904741 0.0031719785 0.003684304 0.0034272166 0.0032126687 0.0033310398 0.0032256155 0.0032422615 0.003297748 0.003355084 0.003765684 0.0036695076 0.003721295 0.0040838066 0.0038304185 0.003667658 0.003244111 0.0035622336 0.003469756 0.004054214 0.0034845525 0.0036861536 0.0036066228 0.0035270923 0.0034919507 0.0032589075 0.004007975 0.0053544478 0.004677512 0.0035622336 0.004875414 0.0047034062 0.0036621094 0.0037397905 0.003281102 0.0031904741 0.0031793767 0.0032256155 0.004218824 0.003610322 0.0033476858 0.0032145183 0.003930294 0.0032718542 0.0032755535 0.0037471887 0.004128196 0.0036991003 0.003798976 0.0035955256 0.0032995977 0.0036399148 0.0030776516 0.0032459607 0.0033476858 0.0037360913 0.0036713572 0.0034013228 0.0034549597 0.0036584102 0.0033624822 0.0034771543 0.0036621094 0.004272461 0.0036713572 0.0032330137 0.0036658086 0.0036029238 0.0034845525 0.0034771543 0.0036954014 0.0034142695 0.0042169746 0.0038119229 0.0036158706 0.00316643 0.0038840554 0.0037064985 0.005291563 0.0048217773 0.0032515093 0.0031368372 0.0034272166 0.003408721 0.0030536074 0.0036325166 0.003512296 0.003556685 0.00320712 0.0030610056 0.0034827031 0.003405022 0.003244111 0.004814379 0.0044500176 0.00398948 0.0031035452 0.0033476858 0.003717596 0.0066010444 0.0034605083 0.0074851294 0.0036528616 0.003889604 0.0031849255 0.003170129 0.0034475615 0.0032293147 0.003338438 0.0030295632 0.0036195698 0.0034475615 0.0033088452 0.0033458362 0.0032885002 0.004446319 0.0031053948 0.0035825786 0.0032866506 0.0034198184 0.003170129 0.0030277136 0.0033125444 0.0038100735 0.0032995977 0.0033735796 0.0033199426 0.00320712 0.0029981208 0.003149784 0.0035141453 0.0031904741 0.0033032966 0.0032589075 0.0034198184 0.0033254912 0.003146085 0.0033661814 0.0033217922 0.0033698804 0.003183076 0.0030536074 0.003281102 0.0032256155 0.0032015713 0.0032533589 0.0036380652 0.003754587 0.0033809778 0.003210819 0.003909949 0.003421668 0.0033495354 0.0034105706 0.004239169 0.0036454634 0.0036251184 0.004292806 0.0036214192 0.0032459607 0.003264456 0.0040653115 0.003774932 0.0034346147 0.0034179688 0.0032681553 0.004091205 0.0031571821 0.0033902256 0.0033754292 0.0035640833 0.0036084724 0.0032663057 0.0032866506 0.0032459607 0.0031756777 0.0033791282 0.0033291904 0.0035048977 0.003146085 0.0032718542 0.0033661814 0.00320712 0.0036177202 0.0031738281 0.0031960227 0.003486402 0.0032958984 0.003388376 0.0031608813 0.003334739 0.0045129023 0.0036454634 0.0034290662 0.0050622188 0.0038137725 0.00316643 0.0037323923 0.0037434895 0.0031904741 0.0032533589 0.0033606328 0.0035437383 0.0033365886 0.0033236416 0.0034031724 0.003663959 0.0034771543 0.0035085967 0.0036898525 0.0039044004 0.00337173 0.00337173 0.0033643318 0.003967285 0.003355084 0.004289107 0.009858103 0.013282732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036950011 9.265299e-06 5.5591795e-06 3.7061195e-06 8.338769e-06 7.412239e-06 2.7795897e-06 5.5591795e-06 3.7061195e-06 2.7795897e-06 2.7795897e-06 2.7795897e-06 5.5591795e-06 5.5591795e-06 4.6326495e-06 2.9648956e-05 0.0017131538 0.0 5.5591795e-06 3.7061195e-06 3.6134665e-05 1.4824478e-05 9.265299e-05 2.9648956e-05 9.265299e-07 0.0 0.0 0.0 0.0 0.0 9.265299e-07 0.0 0.0032391485 3.7061195e-06 4.0767314e-05 5.9297912e-05 7.412239e-05 3.7061196e-05 0.0002538692 7.226933e-05 3.7061195e-06 0.0 0.0 3.7061195e-06 0.0 0.0 5.5591795e-06 1.8530598e-06 0.0048707677 7.504892e-05 7.3195864e-05 1.7604068e-05 0.00013434683 9.91387e-05 8.06081e-05 7.0416274e-05 2.7795897e-05 1.38979485e-05 3.3355074e-05 2.8722427e-05 3.0575487e-05 4.8179554e-05 2.7795897e-05 6.1150975e-05 0.0015454518 1.9457128e-05 5.1885672e-05 3.7061195e-06 3.5208137e-05 1.6677537e-05 7.412239e-06 1.38979485e-05 7.782851e-05 1.20448885e-05 6.485709e-06 1.8530598e-05 3.0575487e-05 8.338769e-06 1.6677537e-05 3.3355074e-05 0.0014602111 3.8914255e-05 3.5208137e-05 6.485709e-06 0.0001176693 6.763668e-05 3.6134665e-05 7.412239e-06 1.4824478e-05 2.3163248e-05 1.20448885e-05 2.4089777e-05 2.3163248e-05 5.5591795e-06 6.485709e-06 1.8530598e-05 0.0040350375 0.00011025705 0.00012044889 7.0416274e-05 0.0002047631 0.00014639173 0.00019271822 0.0001334203 0.000100991754 6.763668e-05 9.821217e-05 9.91387e-05 8.98734e-05 7.968157e-05 6.3930565e-05 7.968157e-05 0.0019308883 2.7795897e-05 4.7253023e-05 0.0004706772 0.0001797468 0.00011025705 0.0005095914 0.00027147325 3.3355074e-05 3.5208137e-05 3.5208137e-05 3.0575487e-05 3.0575487e-05 2.5942836e-05 3.0575487e-05 2.5942836e-05 0.0059603667 0.00023441206 0.00039933439 0.0002232937 0.0008866891 0.0004373221 0.0022968675 0.0012220929 0.00027332632 0.00018530598 0.00011025705 0.00013619989 0.00015843661 0.000124155 0.00019457127 0.0004401017 0.0028463 0.00015751008 0.00018715904 0.00011303664 0.0002390447 0.00013527337 0.00061058317 0.0003696854 0.00016399579 9.357952e-05 0.00013805296 0.000115816234 0.00012322847 0.000124155 0.000100991754 0.00017418762 0.0065236967 0.00052163634 0.00084777485 0.003133524 0.0008487014 0.00058741996 0.0012628603 0.0008802034 0.00064301176 0.0005170037 0.00048457514 0.00049106084 0.00048642818 0.0004743833 0.0005429465 0.00073010556 0.0007801382 8.98734e-05 0.00010191829 3.3355074e-05 8.338769e-05 4.3546905e-05 0.00015473049 0.000115816234 7.968157e-05 5.9297912e-05 5.9297912e-05 5.9297912e-05 5.9297912e-05 5.9297912e-05 5.9297912e-05 5.9297912e-05 0.0092208255 0.0013388357 0.0034281607 0.0013786765 0.0031214792 0.002353386 0.0010525379 0.0017214925 0.006584848 0.0007217668 0.0004410282 0.0010497584 0.0024747613 0.00079681573 0.0019336679 0.0041276906 0.020360494 0.004911535 0.004625237 0.0038034052 0.007639239 0.0045603802 0.00340963 0.0045418497 0.009402425 0.003932193 0.0027110265 0.0025507368 0.004980098 0.0028147977 0.005861228 0.008772385 0.051261194 0.049610116 0.04859371 0.048501987 0.048307415 0.04828981 0.04823885 0.048341695 0.047677375 0.048505694 0.048932824 0.04942759 0.04949245 0.04882442 0.048812374 0.048966177 2409.0 7.267746 17508.0 0.02336075 0.0070824767 0.0069111264 0.006111492 0.009081563 0.0072538266 0.0066255424 0.0066826595 0.008567512 0.0054832078 0.005883025 0.0070824767 0.0077678775 0.0082819285 0.008453279 0.006225725 0.013936486 0.012165867 0.011309116 0.011137766 0.010223898 0.010623715 0.009195796 0.008853096 0.009138679 0.009310029 0.009195796 0.010166781 0.010052548 0.0093671465 0.008967329 0.008110578 0.008681745 0.011537583 0.0075394106 0.011423349 0.0103952475 0.009424264 0.007824995 0.010623715 0.008624629 0.009424264 0.0061686086 0.0069111264 0.010680832 0.007882111 0.008853096 0.008910213 0.01176605 0.0060543753 0.007596527 0.01599269 0.010223898 0.0069111264 0.011423349 0.012508567 0.007996345 0.00719671 0.0066826595 0.0051976237 0.007710761 0.0073109437 0.00685401 0.0073680603 0.008167694 0.019705277 0.00948138 0.014336304 0.016335389 0.03495545 0.010052548 0.009252913 0.010452365 0.020562029 0.0073680603 0.008453279 0.019533927 0.012851268 0.02141878 0.022903815 0.01245145 0.007425177 0.02370345 0.014736121 0.029986292 0.015021704 0.007824995 0.007596527 0.009310029 0.009538497 0.0072538266 0.006511309 0.007824995 0.006339959 0.007482294 0.0048549236 6.443715 1.0 0.0 0.0 13.0 540672.0 552960.0 0.0 0.0 155.0 1.0 1.0 0.0 0.0 0.0 1015179100.0 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 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 5.0 0.0 5.0 0.0 61440.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 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 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 -61440.0 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 -6.5128045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.894705 0.0 0.0 0.0 0.0 0.0 0.0 -7.983918 0.0 0.0 0.0 7.9638476 0.0 0.0 0.0 0.0 0.0 0.0 -5.5280995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.997707 -6.6230984 0.0 3.201966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 95801.0 0.0 0.0 0.0 0.0 0.0 0.0 -114573.0 0.0 0.0 0.0 122749.0 0.0 0.0 0.0 0.0 0.0 0.0 -32426.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108141.0 -58882.0 0.0 840.0 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 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 -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 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 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 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 -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 -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 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 -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 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 0.0 0.0 1.0 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 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 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 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 -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 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 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 -2.0 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 -1.0 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 0.0 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 -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 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 -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 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 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 -1.0 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 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 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 1.0 1.0 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 0.0 0.0 1.0 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 -1.0 1.0 -1.0 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 -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 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 1.0 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 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 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 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 -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 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 -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 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 1.0 0.0 0.0 -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 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 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 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 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 -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 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 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 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 -1.0 -2.0 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 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 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 0.0 281.0 156932.0 840.0 544768.0 0.0 0.0 0.0 0.0 3912.0 548864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 672.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.0667867 0.003931136 0.0042507406 0.004943217 0.0047301473 0.0042720474 0.00397375 0.0037287197 0.0048473356 0.0038565614 0.0037926405 0.0043466217 0.0040163635 0.0036967592 0.00351565 0.0053480496 0.00467688 0.0036967592 0.0036221847 0.0033132338 0.0039630965 0.0034091151 0.0033345406 0.003494343 0.003888522 0.003579571 0.0036754522 0.0038565614 0.0037819871 0.003579571 0.0035902243 0.0034304222 0.004069631 0.0040270174 0.0036328384 0.0034304222 0.0038352546 0.0034197685 0.0032386594 0.0036434918 0.0039950567 0.003494343 0.0033771547 0.003494343 0.0037500267 0.0035049964 0.0032599664 0.003600878 0.004176166 0.0034091151 0.0033345406 0.0040163635 0.0038565614 0.0036647988 0.0036434918 0.003451729 0.0035369569 0.003824601 0.0031534315 0.0043146615 0.003473036 0.0036754522 0.0032706198 0.0033345406 0.0041655125 0.0036861058 0.0035049964 0.0037819871 0.0036221847 0.0037180663 0.004048324 0.0035902243 0.00397375 0.0039204825 0.0032599664 0.0035263035 0.0037819871 0.00351565 0.0033238872 0.0033771547 0.0046236124 0.00400571 0.0038032942 0.0036647988 0.0033558477 0.0032599664 0.003824601 0.0038032942 0.0038778684 0.0035582639 0.003387808 0.0036221847 0.003142778 0.003824601 0.0035582639 0.00351565 0.003600878 0.0037926405 0.0033132338 0.0034623826 0.0036861058 0.0036221847 0.0038991754 0.00351565 0.0039524427 0.00400571 0.0036754522 0.0032173523 0.0038778684 0.0038139476 0.0036434918 0.0039204825 0.0043040076 0.003366501 0.0040270174 0.0037287197 0.004815375 0.0041868193 0.0040163635 0.0034836896 0.0039524427 0.003739373 0.0034304222 0.0031747385 0.0037287197 0.0035049964 0.0035902243 0.00351565 0.0043359683 0.004197473 0.003451729 0.004112245 0.004080285 0.0038352546 0.0036221847 0.003387808 0.0040163635 0.0039417893 0.0036754522 0.0044531566 0.0034836896 0.0048047216 0.00351565 0.0032173523 0.0037819871 0.0031534315 0.003100164 0.0033238872 0.0034091151 0.003387808 0.0033025802 0.0030255897 0.0033132338 0.0032599664 0.003121471 0.0033345406 0.0035369569 0.0031108176 0.0033132338 0.0030468965 0.003600878 0.0036221847 0.0028657874 0.0035369569 0.0029297082 0.0033771547 0.0032706198 0.0033345406 0.003494343 0.0032919268 0.0031960455 0.0030575502 0.0036434918 0.0035476105 0.0030255897 0.0039204825 0.0036221847 0.003579571 0.0034623826 0.0033345406 0.0035263035 0.003600878 0.003931136 0.0038352546 0.003451729 0.0031640849 0.0034197685 0.0034623826 0.0033025802 0.0032812734 0.0032386594 0.0036754522 0.004293354 0.00351565 0.0036861058 0.0036647988 0.0035263035 0.0037074126 0.003888522 0.0040163635 0.004069631 0.0038565614 0.003100164 0.0031640849 0.0035902243 0.0034623826 0.003473036 0.0036647988 0.0037180663 0.0036967592 0.0031321244 0.0029510153 0.0035263035 0.0031108176 0.0036541452 0.003366501 0.0036541452 0.003451729 0.003451729 0.0037180663 0.0035263035 0.0038032942 0.0034623826 0.0034410756 0.004527731 0.0030895106 0.0034623826 0.003494343 0.0034836896 0.003494343 0.0032493128 0.0033238872 0.0036434918 0.0035263035 0.0033451943 0.00446381 0.0037180663 0.003824601 0.0032812734 0.003739373 0.0038139476 0.0031747385 0.003824601 0.003366501 0.0037287197 0.00376068 0.0041655125 0.0041228984 0.0038565614 0.003473036 0.003387808 0.003824601 0.0039950567 0.0035689173 0.00421878 0.005422624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020670572 0.000108506945 9.765625e-05 9.765625e-05 5.4253473e-05 9.765625e-05 0.00011935764 0.00011935764 9.765625e-05 9.765625e-05 0.00011935764 4.340278e-05 9.765625e-05 7.5954864e-05 0.00017361112 0.00015190973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008680556 0.00015733507 0.00013020834 0.00013563369 0.00013563369 0.00011393229 0.00015190973 0.0001030816 0.000249566 7.052952e-05 0.00014105903 0.00014648438 0.00028211807 0.00014105903 0.00014648438 0.00032552084 0.008159722 8.138021e-05 0.00017361112 0.00013563369 0.00021701389 0.0002061632 0.00036892362 0.00022786458 0.00030381946 7.5954864e-05 0.00018446181 0.00013563369 0.00030381946 0.000124783 0.00016276042 0.000249566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005202908 0.00050998264 0.00033637154 0.00037434895 0.00032552084 0.000515408 0.0005859375 0.0004123264 0.0005533854 0.000249566 0.00017903646 0.00036892362 0.0002983941 0.0004123264 0.00032552084 0.0004611545 0.0038953994 0.00035264756 0.00035807292 0.00044487847 0.00033637154 0.0002766927 0.0004014757 0.00030381946 0.00094943575 0.0001953125 0.00027126737 0.00045572917 0.0008789062 0.00042860242 0.0004937066 0.0010687934 0.009868707 0.0017849392 0.0018066406 0.0020236545 0.0019259983 0.0018717448 0.0025065104 0.001996528 0.004090712 0.0011284723 0.0016927083 0.0019911025 0.0039767795 0.0020562066 0.0021050347 0.0036187065 0.062646486 0.05657552 0.05559896 0.05559353 0.05655382 0.056423612 0.055490453 0.058165148 0.056759983 0.051432293 0.05178494 0.053493924 0.053656682 0.053119574 0.054969616 0.05662435 462.0 6.266234 2895.0 0.013471503 0.008635579 0.009326424 0.010708118 0.007944732 0.008981002 0.010017271 0.008290156 0.010362694 0.006908463 0.010362694 0.007944732 0.007944732 0.008635579 0.010017271 0.011053541 0.015198618 0.0065630395 0.009326424 0.012780656 0.013471503 0.0117443865 0.011398964 0.010362694 0.009671848 0.009671848 0.0055267704 0.013126079 0.006908463 0.0062176166 0.011053541 0.008981002 0.008635579 0.008981002 0.007253886 0.013471503 0.011398964 0.007944732 0.010017271 0.007253886 0.011398964 0.011053541 0.007944732 0.016925734 0.01208981 0.008290156 0.008635579 0.011398964 0.015198618 0.009671848 0.011398964 0.008635579 0.012780656 0.008981002 0.014507772 0.013816926 0.010362694 0.006908463 0.009326424 0.008290156 0.007599309 0.009326424 0.0055267704 0.010708118 0.0062176166 0.015198618 0.006908463 0.012435233 0.011398964 0.019343697 0.010708118 0.012435233 0.011053541 0.010708118 0.011053541 0.008981002 0.015889464 0.011398964 0.012780656 0.015198618 0.0117443865 0.0062176166 0.015198618 0.012435233 0.018998273 0.013126079 0.012435233 0.013471503 0.010362694 0.009326424 0.010362694 0.0055267704 0.007253886 0.008981002 0.008981002 0.0055267704 6.5306716 0.0 0.0 0.0 2.0 93866.0 118784.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1541704800.0 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 16384.0 4096.0 4096.0 3.0 1.0 0.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.85715 0.0 0.0 0.0 0.0 -7.8790956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 240.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.0111236265 0.004166586 0.0043117576 0.004074204 0.004005017 0.004074404 0.0038522473 0.0041271937 0.00399182 0.0039044372 0.0038898399 0.0038728432 0.0039536273 0.0038406495 0.00383805 0.003911636 0.0048288563 0.0038258524 0.0038114553 0.0038674443 0.0039118356 0.0038686441 0.0038508475 0.0038056565 0.0038774423 0.0038478482 0.0038768426 0.0038270522 0.0039366307 0.0038824414 0.0038302515 0.0038296517 0.004158987 0.0038236529 0.0038308515 0.0037880598 0.0038644448 0.0038270522 0.003776462 0.003766264 0.0038136549 0.0038364504 0.0037878598 0.0038020571 0.003878242 0.0038248526 0.0038542468 0.003818454 0.0039032374 0.003880242 0.0038038567 0.00394263 0.003813855 0.003796858 0.0038000576 0.003802857 0.0038972385 0.0039072367 0.0038400497 0.0038720435 0.003859046 0.0038600457 0.003869844 0.0038132549 0.0042981603 0.004057207 0.003807856 0.0038654448 0.0038704437 0.0039544273 0.003803457 0.0038190538 0.0038478482 0.0038234529 0.0038152544 0.003766064 0.0037914591 0.0037942587 0.0037910591 0.0038414493 0.0039996183 0.0038656446 0.0038378502 0.003884441 0.003813855 0.0039064367 0.0038046567 0.0038402497 0.0038438488 0.00388864 0.003822853 0.0038832412 0.0038604457 0.0038440488 0.0038476482 0.0038194538 0.0038572464 0.0038650448 0.003859446 0.003930232 0.0039526275 0.0040030177 0.0039242334 0.003853647 0.003905037 0.0038904399 0.0038156544 0.0038808417 0.003904837 0.0038160544 0.003843649 0.0039392305 0.003895039 0.0037982578 0.0039282325 0.0039552273 0.0040898006 0.003966625 0.0038338508 0.0038780423 0.0038938392 0.003864245 0.003853047 0.0038512475 0.0038900399 0.0038516475 0.0038290517 0.0038290517 0.004673287 0.0038816414 0.003817654 0.00394083 0.0038524473 0.0039282325 0.0038156544 0.003817654 0.0038114553 0.003970024 0.003818054 0.004375945 0.003923633 0.003957227 0.0038336508 0.0038770423 0.0039680246 0.0038098556 0.0038206535 0.0038044567 0.0038648448 0.0038044567 0.0038156544 0.0037894596 0.003832251 0.003899638 0.0037534665 0.0037890596 0.0038716435 0.003807256 0.003869044 0.0038548468 0.0038810417 0.0038628452 0.0038602457 0.003803257 0.0038186538 0.0037668638 0.0037592654 0.0037886596 0.0037792616 0.0037040762 0.003761665 0.0037582656 0.0038466484 0.0037936587 0.003832651 0.003802657 0.0038734432 0.0038314513 0.0038198535 0.0037898594 0.003772263 0.0038244526 0.0038420493 0.003808056 0.003832651 0.0038644448 0.003807856 0.0038460484 0.003859646 0.003807456 0.0038298517 0.0038674443 0.004019215 0.003874443 0.0037962582 0.0040002186 0.0038916396 0.0038264524 0.0039592264 0.0039420296 0.0038252526 0.0038410495 0.0037754623 0.0038542468 0.0038898399 0.0037980578 0.0038854408 0.003930232 0.0038196535 0.0038150544 0.0037772618 0.0038624452 0.0037396692 0.003710475 0.0038878403 0.0039362307 0.0038836412 0.0038046567 0.0037686636 0.0039168345 0.0038094555 0.0038064562 0.0038620455 0.0039336313 0.0039022374 0.0038106553 0.003828252 0.0039158347 0.0037900594 0.0037978578 0.0038012573 0.003914435 0.004136392 0.0038670443 0.0037470679 0.0039852215 0.0038598457 0.003807256 0.0038044567 0.003966625 0.004067005 0.003878242 0.003740869 0.003895239 0.0037984578 0.0038652448 0.003817654 0.003920034 0.0039374307 0.0038610455 0.0038364504 0.0039064367 0.0038922394 0.0038646448 0.003914835 0.0047920635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018743119 1.7402896e-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 0.00027854636 0.00013112182 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020362388 0.0009639604 4.700782e-06 4.8007987e-06 7.201198e-06 4.700782e-06 8.0013315e-06 2.9004827e-06 0.00041296871 2.0003329e-06 3.900649e-06 7.101182e-06 4.1006824e-06 1.8002995e-06 3.900649e-06 1.3902313e-05 0.00068471394 6.3010484e-06 7.701282e-06 9.201531e-06 3.240539e-05 1.9403229e-05 6.701115e-06 5.1008487e-06 0.00017412897 1.8703113e-05 2.0003329e-06 2.410401e-05 2.800466e-06 2.2003662e-06 2.9004827e-06 2.5804295e-05 0.00059829955 1.4202364e-05 1.1801963e-05 1.3202197e-05 6.4910804e-05 7.3012147e-06 3.3005492e-06 5.300882e-06 6.6010984e-06 2.4003994e-06 1.2001997e-06 4.020669e-05 2.2003662e-06 1.3002164e-06 3.7006157e-06 4.3407224e-05 0.0005619935 4.4007325e-06 4.620769e-05 3.7006157e-06 3.7306207e-05 1.7502913e-05 0.0001616269 8.611433e-05 3.850641e-05 5.2008654e-05 1.8002995e-06 2.9004827e-06 2.1003495e-06 1.5002496e-06 3.8006324e-06 2.7004494e-06 0.00053248863 4.4007325e-06 3.0505076e-05 1.1401898e-05 4.9608254e-05 5.3108837e-05 0.0001652275 8.4414045e-05 5.2808788e-05 4.0006657e-06 2.3003827e-06 2.6004327e-06 5.9009817e-06 2.9004827e-06 9.501581e-06 1.30021635e-05 0.0007537254 5.0808456e-05 0.00012982161 5.0308372e-05 7.431237e-05 5.160859e-05 0.0002482413 0.00011981994 2.9404893e-05 4.580762e-05 1.02016975e-05 9.401564e-06 1.3902313e-05 7.001165e-06 1.0001664e-05 3.4305707e-05 0.0008692446 5.1408555e-05 6.0110004e-05 6.151023e-05 0.00012152022 4.140689e-05 0.00018483076 0.000103717255 2.5704278e-05 0.000105017476 1.08017975e-05 3.6206024e-05 3.270544e-05 1.2902147e-05 3.4305707e-05 9.2115326e-05 0.00026894474 3.2005325e-06 8.601432e-06 3.6406058e-05 7.101182e-06 4.700782e-06 3.3305543e-05 2.4003994e-05 3.240539e-05 3.450574e-05 2.9004827e-06 9.501581e-06 3.9006492e-05 4.9008154e-06 2.7304544e-05 7.771293e-05 0.00036646097 2.740456e-05 6.481078e-05 5.5009154e-05 0.000114519054 4.1606923e-05 7.501248e-05 5.3208852e-05 4.590764e-05 2.2403729e-05 1.5802629e-05 2.2103679e-05 2.6304377e-05 1.2902147e-05 2.4204028e-05 5.65094e-05 0.0007757291 8.1113496e-05 0.000100016645 9.771626e-05 0.0002553425 0.00019003163 0.00012642103 0.00015052504 0.0003533588 4.3707274e-05 3.240539e-05 6.97116e-05 0.0001767294 8.371393e-05 0.00016052672 0.00037546246 0.0015307547 0.00023133849 0.0002470411 0.00030255035 0.00052608753 0.00058149674 0.00031595258 0.00035185856 0.0010022668 0.00013512248 0.00011731952 0.00020093344 0.0005017835 0.00026834465 0.00047797954 0.0009928652 0.06141732 0.061097365 0.06074511 0.061020453 0.060662493 0.06075531 0.060916338 0.061225187 0.06112907 0.060896333 0.060626186 0.060853425 0.0613056 0.060940642 0.061179582 0.061263993 22914.0 5.743737 131612.0 0.012871167 0.009847126 0.010857672 0.010006687 0.01011306 0.010090265 0.010173844 0.01015105 0.010075069 0.010682916 0.010204237 0.009611585 0.0104473755 0.010538553 0.010568945 0.010173844 0.010075069 0.010105462 0.010181443 0.0098319305 0.009641978 0.010006687 0.00999149 0.010082668 0.010546151 0.01047017 0.010014284 0.010059873 0.010166246 0.010257423 0.010356198 0.009816734 0.010227031 0.010515759 0.010500562 0.010158648 0.010105462 0.010492964 0.010044677 0.010257423 0.010409385 0.01078929 0.010249825 0.009877519 0.010720907 0.009771146 0.010029481 0.009854725 0.010021882 0.01031061 0.01078929 0.010424581 0.010530954 0.010584141 0.010500562 0.0105233565 0.010082668 0.010356198 0.010075069 0.009862322 0.010135854 0.010477768 0.009930706 0.010014284 0.010097863 0.011617482 0.010394189 0.011252773 0.011260372 0.013554995 0.010120657 0.010173844 0.010333404 0.011495912 0.010386591 0.010416984 0.0112907635 0.009877519 0.01130596 0.012065769 0.010827281 0.009877519 0.01214175 0.011541501 0.012400085 0.010492964 0.010128256 0.009854725 0.010500562 0.01047017 0.010120657 0.010059873 0.00999149 0.0099079115 0.009497615 0.009900313 6.582102 0.0 1.0 0.0 78.0 5000977.0 163840.0 0.0 0.0 120.0 0.0 1.0 0.0 1.0 0.0 1404892700.0 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 -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 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 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 -3072.0 0.0 0.0 0.0 0.0 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 -61952.0 -3584.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.953736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.456709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4048796 -5.013272 4.129689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22196.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61740.0 -3536.0 45568.0 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 -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 -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 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 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 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 -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 2.0 0.0 -1.0 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 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 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 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 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 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 -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 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 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 2.0 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 -3.0 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 -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 0.0 0.0 0.0 1.0 2.0 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 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 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 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 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 3.0 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 -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 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 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 2.0 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 0.0 0.0 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 -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 -1.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 45568.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.15202533 0.014980584 0.008613738 0.00674459 0.008613738 0.0043939655 0.0034544985 0.0035073436 0.005920599 0.0023564964 0.0022605925 0.002432828 0.0026716094 0.005705305 0.0021960041 0.01372209 0.0055467696 0.002745984 0.0014209439 0.004652319 0.0021079292 0.0038146274 0.0016616823 0.0016636394 0.0031785301 0.002035512 0.004564244 0.001755629 0.0017615006 0.0018417467 0.0018026023 0.0019807096 0.0069579277 0.0014522594 0.0017438857 0.001483575 0.01666771 0.0017360568 0.0015559923 0.0018221745 0.0048265117 0.0031119846 0.0015109761 0.0014933611 0.0016753828 0.0017066984 0.0018182601 0.0019180785 0.00475018 0.0055996147 0.0018339179 0.0018104312 0.0018985062 0.0015814361 0.0016812545 0.0014033288 0.0034427552 0.003661964 0.0017066984 0.002037469 0.002274293 0.0018945918 0.0019278646 0.002035512 0.0074942065 0.008535449 0.0017889017 0.0021314158 0.008682241 0.0029554067 0.0023643253 0.002274293 0.046877448 0.0061143646 0.0016342811 0.0015873078 0.010475057 0.0037950552 0.0024621864 0.0024191276 0.0037265525 0.0015775217 0.0014033288 0.0028653743 0.0034270973 0.0021372875 0.003828328 0.0037363386 0.0020766135 0.0014777033 0.0013191683 0.0023330098 0.002546347 0.0018593618 0.0040592803 0.0042178156 0.0029280055 0.0028673315 0.0016264523 0.0025757053 0.002284079 0.0046660197 0.003977077 0.002045298 0.0022958226 0.003098284 0.0011234459 0.0012447938 0.002730326 0.0019552656 0.003019995 0.003151129 0.0034721135 0.0014972755 0.004020136 0.003994692 0.008183149 0.0036130336 0.0018711052 0.002010068 0.002659866 0.0020257258 0.0017008267 0.0014268155 0.0027596843 0.001518805 0.0019885385 0.0025032882 0.0038596436 0.0028947326 0.0016127517 0.011747252 0.005372577 0.004908715 0.0014248583 0.0017673724 0.0018026023 0.023690226 0.0014209439 0.013855181 0.0021040146 0.008686155 0.001413115 0.0017262707 0.0068992106 0.0011547615 0.0012076065 0.0014287727 0.0016303667 0.0013661416 0.0011782482 0.0013504839 0.0013661416 0.0012663233 0.001236965 0.0011606332 0.0015129333 0.0012937244 0.0015696927 0.001518805 0.0020178969 0.0012447938 0.0011547615 0.0012741521 0.0013387405 0.0012526227 0.001264366 0.0015070617 0.001685169 0.0011645476 0.0011019165 0.0010471143 0.0019474368 0.0011312749 0.001193906 0.0013543983 0.002423042 0.0016616823 0.0012154354 0.001281981 0.0016049228 0.0011391038 0.0014640028 0.0016029656 0.002546347 0.0019552656 0.0022879937 0.0013641844 0.0019219929 0.0012839383 0.0016186234 0.0015442489 0.00805593 0.003521044 0.0027577272 0.004425281 0.0032411611 0.0014072433 0.0029788932 0.005803166 0.002405427 0.0022723358 0.0020687846 0.0017693295 0.019953888 0.0011997777 0.0023506247 0.0020257258 0.0023956408 0.0017106128 0.0020589984 0.0017008267 0.0012624088 0.0010392853 0.0017673724 0.001685169 0.002010068 0.0020335547 0.0017047412 0.0017615006 0.0013543983 0.0011449754 0.0012702377 0.0014522594 0.0034975575 0.0025306894 0.0014953184 0.0018711052 0.0014092005 0.0013739705 0.0012721949 0.0015148906 0.00925375 0.0037363386 0.0016440672 0.0036560923 0.0032157174 0.0014522594 0.0014326872 0.0015579495 0.005075079 0.003513215 0.00310807 0.0022762502 0.0015070617 0.002702925 0.0024367427 0.00300238 0.004816726 0.0044898693 0.0043058903 0.0026931388 0.0028849465 0.0023330098 0.00338991 0.03976881 0.006018533 9.824572e-07 0.0 0.0 3.929829e-06 0.0 0.0 0.0 0.0 9.824572e-07 0.0 0.0 1.9649144e-06 2.9473717e-06 1.9649144e-06 4.9122864e-06 0.003822741 1.4736858e-05 5.8947435e-06 6.8772006e-06 2.5543888e-05 4.9122864e-06 3.929829e-06 8.842115e-06 3.7333375e-05 2.9473717e-06 2.9473717e-06 4.9122864e-06 7.859658e-06 1.2771944e-05 1.4736858e-05 4.7157948e-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 0.003356074 0.00042933383 1.080703e-05 1.768423e-05 4.7157948e-05 1.8666688e-05 1.1789487e-05 2.3578974e-05 1.768423e-05 1.5719315e-05 1.2771944e-05 1.4736858e-05 1.1789487e-05 9.824573e-06 1.3754401e-05 1.2771944e-05 0.011839592 0.00039200045 0.00020533356 0.0001237896 0.0003497548 0.000106105384 0.0002387371 0.000101193094 7.7614124e-05 3.7333375e-05 2.4561432e-05 6.385972e-05 3.536846e-05 4.7157948e-05 0.00010021064 0.00034189512 0.009177133 0.000401825 0.00014540367 0.000391018 0.0003625267 8.056149e-05 0.00015424579 6.5824635e-05 0.00014540367 0.00015129842 5.4035147e-05 0.00010708784 0.00014540367 9.628081e-05 6.778955e-05 0.0005265971 0.0045880754 6.680709e-05 8.547378e-05 0.0002092634 0.000356632 6.385972e-05 0.00021712304 0.0003929829 0.00025543888 0.00015522825 7.2701834e-05 0.00019649146 6.18948e-05 7.2701834e-05 9.333344e-05 0.0031723545 0.0120508205 0.00089207117 0.00034877233 0.0007712289 0.00070736924 0.00030161437 0.0015797912 0.0011082118 0.0005148076 0.00058947434 0.00035368462 0.0005148076 0.000436211 0.00010905275 0.0001748774 0.005704147 0.0080925 0.0012339663 0.00032224596 0.000425404 0.000528562 0.00041066713 0.0015070894 0.0012467382 0.0002868775 0.00028785996 0.00013754402 0.00017389494 0.00026526346 0.0001699651 0.00022203533 0.0027980383 0.016524931 0.0025327748 0.001609265 0.0014864578 0.002745968 0.0017134055 0.007506956 0.0042510927 0.00033894775 0.00024856167 0.000504983 0.00025543888 0.0003124214 0.0003035793 0.0005403515 0.00339046 0.017080018 0.0025023187 0.001332212 0.0015925632 0.0034346706 0.0017782476 0.00402218 0.0026565643 0.0007034394 0.0004755093 0.001355791 0.0007938254 0.0011190188 0.0005167725 0.00053347426 0.002356915 0.014303595 0.0027400733 0.0017998617 0.0014117911 0.0026585292 0.0012644224 0.0019069496 0.0015748789 0.0010974047 0.0006346674 0.00064940425 0.00059242174 0.0007260359 0.0007309482 0.0011868083 0.0069636567 0.017390477 0.0021967744 0.0042599346 0.0024463185 0.0070167095 0.0024227395 0.0019580373 0.0019580373 0.006326042 0.0009441414 0.0008802817 0.0012526329 0.0044741104 0.001241826 0.002125055 0.009505274 0.089048944 0.012278751 0.024867957 0.013298541 0.074297346 0.018508513 0.006143305 0.013456717 0.059735365 0.007645482 0.0033423195 0.007565903 0.040255204 0.0076779034 0.017988792 0.032460388 0.006166884 0.00137937 0.0015532649 0.0015306683 0.004886742 0.0014776157 0.0014510894 0.0016220369 0.0036370568 0.0011642119 0.00042933383 0.0007014745 0.0029178981 0.00093431683 0.0014727034 0.0028805647 0.019810269 0.015442263 0.014896017 0.01572128 0.014397911 0.014453911 0.014754543 0.016726334 0.015291947 0.014764368 0.013806472 0.014670052 0.015582754 0.014436226 0.01641686 0.018325776 2827.0 10.841528 30649.0 0.022545597 0.0011419622 0.0029038468 0.0013703547 0.02512317 0.0008483148 0.0014356097 0.0013703547 0.0077979704 0.003654279 0.0013050997 0.0013377272 0.0012724722 0.0046657315 0.0063297334 0.0068517732 0.011745897 0.014943391 0.0034911416 0.0033932591 0.004894124 0.0012072172 0.0044047115 0.0013377272 0.006982283 0.004698359 0.003654279 0.0037521615 0.0028059643 0.0022186695 0.002120787 0.0033932591 0.011778524 0.065777026 0.002120787 0.007569578 0.012202682 0.0072759306 0.0033932591 0.0043394566 0.036020752 0.0056771836 0.0016966296 0.0019576496 0.013736174 0.004502594 0.005905576 0.0060687135 0.008515775 0.0032627492 0.0035563966 0.020326927 0.015693823 0.012398447 0.027178701 0.023491794 0.004111064 0.002381807 0.0029691018 0.013964566 0.008156873 0.00988613 0.026363013 0.031061372 0.0029038468 0.02783125 0.007243303 0.019870143 0.015073901 0.05292179 0.010245033 0.011028092 0.007569578 0.028777448 0.0014682371 0.0030669842 0.017488336 0.011876407 0.022186695 0.025677836 0.011680642 0.0015008646 0.03266012 0.024307482 0.048745472 0.011974289 0.004241574 0.0047962414 0.0059382035 0.0069496557 0.0030017293 0.0013377272 0.0021534145 0.0014029822 0.0011093348 0.004633104 5.8668556 0.0 20.0 0.0 8.0 510928.0 532480.0 1.0 94.0 255.0 1.0 1.0 1.0 1.0 0.0 1542236700.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 248832.0 1536.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 32768.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -5.1866236 0.0 0.0 0.0 0.0 0.0 0.0 -2.7570488 0.0 5.3111544 0.0 0.0 0.0 0.0 5.455885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5313396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9639635 0.0 7.2084713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -520.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 32668.0 0.0 0.0 0.0 0.0 12072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -248876.0 0.0 204720.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -2.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 -2.0 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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 2.0 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 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 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 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 -1.0 -1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 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 -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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 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 1.0 -1.0 -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 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 -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 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 -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 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 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 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 1.0 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 -1.0 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 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -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 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 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 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 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 -1.0 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 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 -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 -1.0 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 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 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 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 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 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 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 3.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 3352.0 266758.0 300.0 270110.0 204720.0 323584.0 12072.0 299008.0 7632.0 503296.0 520.0 528384.0 28.0 265890.0 0.0 0.0 0.0 0.0 40.0 258544.0 256.0 254192.0 0.0 0.0 2152.0 272568.0 128.0 266144.0 0.0 0.0


Input: 0.22858298 0.010846018 0.006594603 0.015756892 0.022261696 0.0034263874 0.0028875943 0.0026546784 0.010899335 0.0018521013 0.001599542 0.003106479 0.0077367323 0.0021944593 0.0013722387 0.00655251 0.032277074 0.0019475126 0.00073522807 0.00070997217 0.004694796 0.003420775 0.00074925914 0.0006762976 0.0039230874 0.0012487653 0.0007043597 0.0013329517 0.0038220636 0.0006847162 0.0010467179 0.0012403466 0.006019329 0.00059211114 0.000550018 0.0010270744 0.021172885 0.0014985183 0.00040409484 0.0006173671 0.0023263514 0.0004377694 0.00046583154 0.0012880523 0.0014648438 0.0006594603 0.00092605065 0.00066507276 0.0036817528 0.0020541488 0.0023544135 0.00940643 0.0031710218 0.0028539198 0.002188847 0.0022056843 0.0032552083 0.0032580146 0.0021046605 0.0053682877 0.0030250987 0.0027697333 0.0017791397 0.0019194505 0.004234577 0.0019559313 0.0009007947 0.0018240392 0.0070071165 0.006659146 0.0038445133 0.0016219917 0.002699578 0.0014115256 0.00092885684 0.0005752739 0.0049473555 0.003998855 0.0017061782 0.000956919 0.009414848 0.0030868354 0.0025340114 0.0034516433 0.0030082616 0.0023628322 0.0058649876 0.004860363 0.0016865346 0.0028511134 0.00067910383 0.001770721 0.0034151624 0.002200072 0.0040577855 0.0028258576 0.0012094782 0.002371251 0.00075767783 0.0017594963 0.0035975664 0.005460893 0.003591954 0.00088115124 0.0061147404 0.0023291577 0.004431012 0.0005051185 0.004130747 0.0011224856 0.0025648796 0.002649066 0.0025255927 0.00068191 0.003041936 0.0022590023 0.013068539 0.009597252 0.001520968 0.0010018185 0.001835264 0.0010523302 0.00033955192 0.00035638918 0.004141972 0.0021439476 0.0013722387 0.001613573 0.0033113325 0.0018941945 0.0006734914 0.012308055 0.002845501 0.007784438 0.00047425018 0.00045180047 0.002099048 0.012397854 0.0015153557 0.036486395 0.0015434177 0.00894621 0.00064823544 0.0007324219 0.0012684087 0.0005415993 0.00044618803 0.00091482577 0.0013666262 0.00053037447 0.00040970725 0.00036761403 0.0008643139 0.0006370106 0.00025536548 0.0010130433 0.0018970007 0.0013750449 0.00034516433 0.00047986262 0.0011280981 0.0013301455 0.00030868355 0.0008755388 0.00082502695 0.0012291218 0.00041812588 0.00040690103 0.0009541128 0.00026097792 0.00027220277 0.00045180047 0.0007969648 0.0003030711 0.00024414062 0.0002413344 0.0018296515 0.0007296157 0.0007183908 0.00040690103 0.0010607489 0.00080257724 0.0022618086 0.00072680943 0.0024975305 0.0006931349 0.00039286996 0.0004602191 0.0015658675 0.000603336 0.00064823544 0.0006959411 0.00820537 0.006123159 0.0035217986 0.0047930134 0.0032495959 0.00082222075 0.002778152 0.00411391 0.0022337465 0.0027051903 0.0012122844 0.0010439117 0.021400189 0.00088956987 0.0016191856 0.00092324446 0.0018633262 0.0013189206 0.0016051545 0.000996206 0.0012263155 0.0007071659 0.00092885684 0.000839058 0.0017005657 0.00082783314 0.00079135236 0.0010523302 0.0014704561 0.0011617726 0.00082502695 0.00136382 0.002138335 0.000799771 0.0006987473 0.0008166083 0.0014003009 0.00059211114 0.000642623 0.00075767783 0.0132172685 0.0032327587 0.00079135236 0.0043805004 0.002896013 0.0010158495 0.00092324446 0.0017258216 0.00450678 0.0017510776 0.0005528242 0.00095130655 0.0020008306 0.0008643139 0.0024273752 0.0013525952 0.003395519 0.0015013246 0.00090640713 0.001389076 0.0047172457 0.002452631 0.0032944954 0.046209928 0.08928511 1.4071505e-06 5.628602e-06 2.814301e-06 2.814301e-06 4.221452e-06 1.9700108e-05 2.814301e-06 2.814301e-06 0.0 2.814301e-06 0.0 0.0 2.814301e-06 1.4071505e-06 2.814301e-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 0.002504728 0.00014634366 8.442904e-06 5.628602e-06 1.6885808e-05 1.1257204e-05 7.035753e-06 1.1257204e-05 1.8292958e-05 2.9550161e-05 1.2664355e-05 5.628602e-06 1.9700108e-05 1.5478656e-05 1.9700108e-05 4.925027e-05 0.007177875 8.8650486e-05 5.9100323e-05 2.392156e-05 0.0001280507 7.598613e-05 0.00030253737 0.00016885807 6.0507475e-05 2.9550161e-05 0.0001393079 4.362167e-05 0.00019981537 2.1107258e-05 4.643597e-05 8.020758e-05 0.004516953 0.0003419376 6.332178e-05 7.598613e-05 6.895038e-05 5.6286022e-05 0.000118200645 9.287194e-05 5.4878874e-05 0.00013508646 0.00011538635 2.532871e-05 1.1257204e-05 2.8143011e-05 1.1257204e-05 4.784312e-05 0.004388903 0.00030675883 4.643597e-05 4.643597e-05 5.065742e-05 0.00022092264 0.00015619371 5.4878874e-05 6.895038e-05 5.3471722e-05 5.7693174e-05 5.7693174e-05 3.9400216e-05 8.3021885e-05 4.2214517e-05 9.0057634e-05 0.012972522 0.0014367007 0.00078378286 0.00016745093 0.0007528256 0.00027720866 0.000859769 0.0005107957 0.00035741625 0.00038696642 4.925027e-05 6.0507475e-05 8.3021885e-05 6.0507475e-05 0.00010835059 0.0013058358 0.025742413 0.0026130786 0.001495801 0.0013044286 0.00066558225 0.0006430678 0.0020825828 0.0012762856 0.0016083731 0.00073312543 0.00020966544 0.000233587 0.00054878875 0.0002279584 0.00031098028 0.003531948 0.021696854 0.0018461816 0.0010835059 0.0015380156 0.0026398145 0.0018672888 0.0077421423 0.0040694796 0.00034897335 0.0003278661 0.00027158007 0.00037711635 0.000364452 0.0005895961 0.0002870587 0.0010595844 0.015944423 0.0035544625 0.0009779696 0.0005839675 0.0020516256 0.0017364238 0.005933954 0.0028452585 0.00043762382 0.0005375315 0.0006472893 0.0006289963 0.0025145782 0.0003447519 0.00040525937 0.0012017066 0.013023179 0.0042749234 0.0024104489 0.024226911 0.0033574612 0.0026341858 0.005887518 0.003841521 0.001765974 0.0021318332 0.0019292034 0.0018841746 0.0054245656 0.0019207605 0.001775824 0.004203159 0.0040103793 0.00082177593 0.00043621668 0.0003503805 0.0004868741 0.00044465958 0.0005544173 0.0005656745 0.0014676581 0.00024062274 0.00022092264 0.00043340237 0.000495317 0.0003757092 0.0005670817 0.0029381304 0.04987786 0.014331829 0.012156374 0.0068978523 0.013417181 0.016840778 0.0065488787 0.009046571 0.033464856 0.0030422595 0.0018264814 0.0047012903 0.025895791 0.0044086026 0.0096122455 0.021360546 0.07566671 0.029596599 0.020662598 0.016314505 0.021737661 0.029401004 0.013332752 0.02417344 0.05468187 0.0050882567 0.0044902177 0.0076675634 0.030210115 0.010650722 0.02293796 0.042609926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1620.0 12.758642 20669.0 0.022303933 0.0016449756 0.001064396 0.0019352654 0.023900528 0.0009676327 0.0009676327 0.0027093715 0.0057574143 0.001064396 0.0012579225 0.001451449 0.0054671247 0.002515845 0.007160482 0.0014030674 0.01804635 0.01272437 0.013643621 0.026029319 0.015820794 0.013208186 0.013933911 0.014272582 0.01654652 0.013546858 0.014030674 0.011950264 0.016207848 0.0138371475 0.009627945 0.011805119 0.0128695145 0.010885867 0.003822149 0.012192172 0.0118535 0.010450433 0.008321641 0.008128115 0.0062896125 0.007886207 0.0011611592 0.0017417389 0.010256906 0.007015337 0.0036770042 0.0044027288 0.0122889355 0.004354347 0.0061444677 0.012385698 0.01064396 0.004354347 0.0099666165 0.018772075 0.0056606513 0.0027093715 0.0014030674 0.0018868838 0.007644298 0.0027093715 0.0028061348 0.004644637 0.0034834777 0.024045672 0.005418743 0.016933572 0.018336639 0.058445014 0.0074023902 0.008466786 0.010111761 0.0266099 0.0036770042 0.0026126083 0.026126083 0.011418066 0.027287241 0.03110939 0.0165949 0.0017417389 0.029754706 0.019546181 0.046397988 0.013208186 0.0040156757 0.005128453 0.010014999 0.007257245 0.001451449 0.0007741061 0.012772751 0.0010160144 0.0012095409 0.0014998306 6.0533876 0.0 0.0 0.0 2.0 356352.0 380928.0 0.0 4.0 208.0 1.0 1.0 0.0 0.0 0.0 1172870300.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 237568.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -237568.0 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 -3.6855721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8310666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9064736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.692134 0.0 4.523155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -235934.0 0.0 5304.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 0.0 0.0 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 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 1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 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 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 -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 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 -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 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 -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 1.0 0.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 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 0.0 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 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -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 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 -1.0 0.0 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 -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 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 -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 -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 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 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 -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 -2.0 -1.0 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 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 -1.0 -2.0 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 2.0 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 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 -1.0 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 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 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 -1.0 0.0 1.0 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 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 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 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 -1.0 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 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 -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 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 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 -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 0.0 164.0 288080.0 200.0 283496.0 5304.0 327680.0 0.0 0.0 0.0 0.0 17284.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 269504.0 0.0 0.0 868.0 241664.0 64.0 283360.0 0.0 0.0