Input: 0.05668442 0.008302833 0.0061756014 0.0056577744 0.0057571973 0.004959744 0.004192325 0.005419574 0.0050446675 0.005629812 0.003750101 0.00446988 0.004965958 0.00318567 0.004322817 0.004646977 0.0050415606 0.0037594219 0.0049224608 0.00415297 0.004366315 0.0031773846 0.0041074012 0.0038350245 0.005071595 0.0033461961 0.0031659924 0.0029360773 0.004154006 0.0034352622 0.0037884202 0.0037967053 0.0061807795 0.0038163827 0.0034891162 0.0030251436 0.0048955334 0.004170576 0.003845381 0.0037211026 0.0047256863 0.0038950925 0.003325483 0.0030966038 0.0043725288 0.0037314591 0.0037304235 0.003582325 0.005516926 0.0039572315 0.0030976394 0.0028967226 0.003681748 0.0030758907 0.0026947702 0.002862546 0.004174719 0.003310984 0.0035098293 0.0033368752 0.0040059076 0.0032250248 0.003507758 0.0034528684 0.0065991837 0.003958267 0.0036206443 0.0032281317 0.0041643623 0.0032229533 0.0035460773 0.0030707123 0.005005313 0.0037780637 0.0037076392 0.0035843963 0.0041322573 0.0031276732 0.003567826 0.0034663319 0.0051699816 0.0036320365 0.0036506783 0.00332859 0.0039251265 0.0033834798 0.0033627667 0.003544006 0.004650084 0.0036548208 0.003810169 0.0035036155 0.004108437 0.0033845154 0.0036807123 0.0037863487 0.005916688 0.0036330721 0.0033430893 0.0029485053 0.0040059076 0.0030582845 0.0032623082 0.003038607 0.0049701007 0.003170135 0.0031949908 0.0030489636 0.0035761113 0.0028397616 0.0030831401 0.0031898124 0.004508199 0.0032819856 0.0032198464 0.0031421725 0.0038919854 0.0033296256 0.003290271 0.0036258225 0.004615907 0.0032964847 0.003487045 0.0031608143 0.0040359413 0.0031898124 0.0034684034 0.0033399821 0.008645634 0.0045993365 0.0040172995 0.0035222573 0.0043601007 0.0034414763 0.0030158227 0.003382444 0.0045403047 0.0038329533 0.0029681826 0.003182563 0.003729388 0.0028024781 0.0028521896 0.00298786 0.005225907 0.0032084542 0.0034953302 0.003014787 0.0036589634 0.0031815274 0.0033068412 0.0032737004 0.0045413403 0.0028397616 0.0030406783 0.0027020196 0.0035212217 0.0032353813 0.0029837175 0.0031535646 0.005003242 0.0034104066 0.0032768073 0.0027993713 0.0037759922 0.0030220367 0.0030562133 0.0031815274 0.0041364 0.0029930384 0.0031173166 0.003014787 0.0036475712 0.002838726 0.0029174357 0.003032393 0.004670797 0.0031121385 0.0038433098 0.0028480468 0.0035564338 0.0031566715 0.0029868244 0.0031193881 0.004252393 0.0031535646 0.0033358396 0.0031649568 0.0036527496 0.003190848 0.0033275543 0.003341018 0.006720355 0.004063904 0.003723174 0.0033337683 0.004122936 0.003260237 0.003301663 0.0032333098 0.004335245 0.0033399821 0.0031090316 0.0030727836 0.0036351434 0.002984753 0.0030852114 0.0028066207 0.004252393 0.0032778431 0.0030914254 0.0029837175 0.0037148888 0.0030075375 0.0029329704 0.0029464338 0.0039779446 0.0031152454 0.002737232 0.0026367735 0.0035346851 0.0029422913 0.0035802538 0.0028822233 0.0049493876 0.0032343455 0.0033876223 0.002978539 0.0037977411 0.0030727836 0.0032136326 0.0029081148 0.0044574523 0.005455822 0.0034725459 0.0031338872 0.0037759922 0.0030707123 0.003236417 0.0031815274 0.004607622 0.00332859 0.0034249057 0.0030427496 0.0037459584 0.0030862472 0.0033120196 0.0032405595 0.0043497444 0.0030344645 0.0031887768 0.0028615103 0.0040110857 0.0030966038 0.004233751 0.004515449 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 0.09923992 0.062017944 0.06247665 0.05530187 0.06064858 0.0595589 0.054952137 0.054453995 0.060471117 0.05315364 0.052117925 0.052918065 0.056426838 0.050529066 0.056626614 0.05384637 4031.0 5.7020593 22985.0 0.017141614 0.010528605 0.009353926 0.008701327 0.013487057 0.012486404 0.011833805 0.011398738 0.012573417 0.009745486 0.008440287 0.008701327 0.0138786165 0.010615619 0.011790298 0.009919513 0.016750054 0.011877311 0.008744834 0.007483141 0.009919513 0.0085273 0.007918208 0.00839678 0.010267566 0.008440287 0.009527953 0.008875353 0.011572765 0.009136394 0.009701979 0.009136394 0.018055253 0.010876658 0.010398086 0.00904938 0.010833152 0.0088318465 0.010659126 0.008353274 0.014226669 0.011616272 0.009701979 0.00891886 0.011442245 0.009353926 0.011659778 0.00957146 0.014748749 0.009614966 0.009919513 0.00904938 0.012051337 0.009484447 0.00957146 0.009876006 0.013661084 0.009223406 0.010441592 0.009527953 0.011094192 0.009788993 0.010398086 0.010659126 0.017924733 0.011007179 0.009701979 0.008222754 0.013095497 0.008266261 0.00944094 0.008309768 0.0154013485 0.009266913 0.008875353 0.008701327 0.011311725 0.00800522 0.00996302 0.007874701 0.013226017 0.00800522 0.0086578205 0.0088318465 0.011442245 0.009484447 0.008266261 0.007918208 0.010920165 0.009005873 0.011964325 0.008483794 0.011268218 0.00891886 0.00996302 0.008744834 6.5548015 0.0 0.0 0.0 14.0 965574.0 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: 0.03667536 0.005069079 0.004433583 0.0039584837 0.004064738 0.003862381 0.0038217742 0.00385629 0.0040268386 0.003791319 0.003822451 0.0037872584 0.0039002807 0.0039016341 0.0037628943 0.0039997674 0.0038305724 0.0037520658 0.0038055314 0.0037344696 0.0038028243 0.0038759166 0.0036674684 0.0037351465 0.0037750765 0.0038143296 0.0037053681 0.0037033376 0.0036898023 0.003693186 0.0036864183 0.0038298955 0.0038454614 0.0036207705 0.0037960566 0.0037019842 0.0038271884 0.0037432679 0.0037967332 0.0037818442 0.0037601872 0.0037554498 0.003711459 0.0037101055 0.0037588337 0.0036694987 0.0037689854 0.0037310857 0.0037101055 0.0036830343 0.0036769432 0.0038353098 0.003766955 0.0036728827 0.0036925094 0.00377643 0.003754773 0.0038319258 0.0036586702 0.003907725 0.0037568032 0.003681004 0.0036918325 0.003779137 0.0042190435 0.003742591 0.0039070486 0.003739207 0.0037886119 0.0039774333 0.003764248 0.0037256714 0.0037656014 0.003754773 0.003644458 0.003619417 0.0037662783 0.003754096 0.0037249946 0.0037290554 0.003828542 0.0037161966 0.003764248 0.0038799772 0.0037189038 0.0038677952 0.0038887754 0.0039185537 0.003631599 0.0037317625 0.0036952165 0.0037452981 0.0037886119 0.0037290554 0.003806885 0.0038122993 0.0037270251 0.003930059 0.0038204207 0.0038481685 0.003834633 0.004073536 0.0036498723 0.0037290554 0.0038908056 0.003855613 0.0039368267 0.0036573168 0.0037886119 0.003739207 0.0038447846 0.0039496855 0.0036938628 0.0036735595 0.0038414008 0.0038603507 0.004143921 0.004184528 0.003812976 0.0036803272 0.0036722058 0.0037317625 0.0036607005 0.0036647613 0.00379741 0.003674913 0.003791319 0.0037297322 0.00383734 0.0038880985 0.0038326026 0.003873886 0.0037500355 0.0039009573 0.003754096 0.003634983 0.0038001172 0.0039679585 0.0036539328 0.0042325794 0.0037378536 0.0039158463 0.0037263483 0.0037344696 0.0036031744 0.0037128127 0.0037595103 0.0036640845 0.0036938628 0.0037520658 0.0036052046 0.0037013073 0.0036498723 0.0037277017 0.0036579934 0.0037804907 0.0037601872 0.003634983 0.0037588337 0.00377643 0.0037168732 0.0037222875 0.003711459 0.0037351465 0.0037053681 0.0036153563 0.0035970833 0.0037060448 0.0038427543 0.0036363367 0.0036891254 0.0037649246 0.0037486819 0.0037527427 0.003711459 0.0037161966 0.0036701756 0.0037013073 0.0037378536 0.0037087519 0.0037277017 0.0037229643 0.0035855782 0.0037452981 0.003764248 0.0037419142 0.0037073984 0.0037216109 0.0037656014 0.0037107824 0.0036925094 0.0037615409 0.0038982502 0.0037750765 0.003800794 0.0037743996 0.003775753 0.0036952165 0.0037683086 0.0037676317 0.0037710157 0.0037432679 0.003693186 0.0035930227 0.0038183902 0.0036620542 0.003751389 0.0037073984 0.0037703388 0.0036370133 0.00367762 0.0037831978 0.0036424275 0.0036938628 0.003735823 0.0036742361 0.0037750765 0.003631599 0.003699954 0.0037771068 0.0038177136 0.003695893 0.003702661 0.0037811673 0.0037845513 0.0036904789 0.003711459 0.003681681 0.0037811673 0.003681004 0.0037073984 0.0037067216 0.004120234 0.0037385302 0.0037351465 0.0038698255 0.0037493587 0.0037568032 0.0037493587 0.0036329527 0.003758157 0.0037635711 0.0037892887 0.0038183902 0.003911786 0.003699954 0.003742591 0.003785905 0.0038292187 0.003702661 0.0037432679 0.0038454614 0.0038116225 0.003785905 0.003660024 0.004721891 0.026241135 0.00010131582 2.8124457e-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 0.0019768444 6.336474e-05 4.1678413e-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 0.0012727164 7.4546756e-06 8.471222e-06 5.0827334e-06 9.826618e-06 1.05043155e-05 9.826618e-06 3.388489e-06 1.219856e-05 3.7273378e-06 4.0661866e-06 3.7273378e-06 5.760431e-06 4.0661866e-06 7.1158265e-06 1.9992085e-05 0.0006163661 4.7438843e-06 4.4050357e-06 4.7438843e-06 3.388489e-06 3.7273378e-06 6.09928e-06 3.7273378e-06 1.1859711e-05 4.4050357e-06 4.0661866e-06 3.7273378e-06 4.0661866e-06 3.04964e-06 6.09928e-06 9.487769e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008176424 8.471222e-06 6.641438e-05 3.320719e-05 5.6587764e-05 3.354604e-05 0.0001989043 0.00010402661 1.7281294e-05 1.0165467e-06 1.1859711e-05 2.0330933e-06 5.0827334e-06 2.710791e-06 2.710791e-06 2.6430213e-05 0.00091895816 2.0669782e-05 7.4885604e-05 9.0133806e-05 0.00021957408 0.000115547475 0.0007414014 0.000370023 0.00010131582 4.3033808e-05 1.219856e-05 1.2876258e-05 1.6264747e-05 1.05043155e-05 1.1859711e-05 1.6603595e-05 0.00047676038 1.2537409e-05 3.659568e-05 1.829784e-05 0.0001372338 5.6587764e-05 0.00035036975 0.00017247409 5.2182728e-05 2.134748e-05 1.4909351e-05 6.438129e-06 8.471222e-06 7.793525e-06 6.09928e-06 9.826618e-06 0.000674987 3.3884888e-05 2.9479854e-05 3.0157551e-05 9.182805e-05 5.8959708e-05 5.8959708e-05 5.9976253e-05 0.00012977913 2.439712e-05 9.487769e-06 1.1520862e-05 3.659568e-05 3.2529493e-05 3.5240286e-05 7.014172e-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 0.0027609407 0.0004920086 0.00021313595 0.00039442012 0.0008732136 0.0006851525 0.00033105537 0.00055943953 0.0012140956 0.00011046474 0.00016264747 0.00011927481 0.0005265712 0.0002585417 0.00060891145 0.0010995646 0.0016417229 0.00038222154 0.000287005 0.00030767478 0.0005577453 0.0005357201 0.0003195345 0.00045439636 0.00064923445 6.9802874e-05 0.00014062229 0.000113853224 0.0003188568 0.00012977913 0.00034223738 0.00068921864 0.05913286 0.058991898 0.05919419 0.05900918 0.058686934 0.05904476 0.05925959 0.058901086 0.059080336 0.058967162 0.05903188 0.05920266 0.059093554 0.059053566 0.05909084 0.059436467 6811.0 6.045074 41173.0 0.011075219 0.00888932 0.009593666 0.008476429 0.00910791 0.010006558 0.009180774 0.009035047 0.008500717 0.009909406 0.009399364 0.009277925 0.00998227 0.009885119 0.010832341 0.009375076 0.0097151045 0.0096422415 0.010152284 0.0096422415 0.01063804 0.009423652 0.00998227 0.0096422415 0.009205062 0.009909406 0.00998227 0.008937896 0.010589464 0.009593666 0.009399364 0.009447939 0.008865033 0.01117237 0.009569378 0.010565177 0.010055133 0.010103709 0.009909406 0.010589464 0.010395162 0.011342385 0.009229349 0.009496515 0.010346587 0.009277925 0.0097151045 0.009520803 0.0106623275 0.010127996 0.009787967 0.011415248 0.0096665295 0.010370874 0.01041945 0.009812255 0.009472227 0.009399364 0.009836543 0.009545091 0.010298011 0.009836543 0.010103709 0.009496515 0.009593666 0.014305491 0.010249435 0.012532485 0.012411046 0.021081777 0.01020086 0.010613752 0.010176572 0.015179851 0.010103709 0.009423652 0.013285406 0.011269521 0.014548369 0.015592743 0.010589464 0.0086950185 0.015252714 0.012872513 0.016054211 0.010686615 0.010298011 0.0096908165 0.009350788 0.010808053 0.009593666 0.009132198 0.009739392 0.009350788 0.009423652 0.009059335 6.5647273 1.0 1.0 0.0 17.0 1477586.0 303104.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1501547600.0 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 -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 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3554616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0446253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4962945 0.0 1.1696687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25172.0 0.0 47200.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34100.0 47200.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14043663 0.008509157 0.0041271006 0.0033757156 0.0061532655 0.0038929821 0.002000424 0.0019330079 0.007772481 0.0014892863 0.0016780519 0.0014843834 0.0045095347 0.0013532281 0.0012134926 0.003835372 0.0060772686 0.0014843834 0.0011705913 0.0008837658 0.002436791 0.0019550715 0.00075751357 0.0008151238 0.0022762178 0.000745256 0.0008200268 0.00070235477 0.0015959266 0.0005969403 0.0005871343 0.00055894203 0.0038378234 0.0005797798 0.00064474455 0.00053687854 0.0041087144 0.0013029723 0.00045965626 0.00055526476 0.0011705913 0.0006459703 0.00057732826 0.0009327958 0.0010933691 0.0023166677 0.0006692595 0.0005123635 0.0065638917 0.003045989 0.004172453 0.010455648 0.004345284 0.00230441 0.003752021 0.0019599744 0.0048968717 0.0023779552 0.0007072578 0.0014672228 0.0016498596 0.00096589106 0.00046088203 0.00052339525 0.011655658 0.003889305 0.0048527443 0.008739598 0.003830469 0.032237228 0.0032359802 0.0026819413 0.003349975 0.0035129997 0.0021671262 0.0023313765 0.0026831669 0.004344058 0.0011485278 0.0015162529 0.008970039 0.0021229992 0.0020359708 0.009660136 0.003173467 0.013701434 0.0031906273 0.0020751948 0.0019072671 0.006449897 0.0027150365 0.0032274 0.0015505739 0.0045916596 0.002354666 0.003569384 0.005708318 0.0045585646 0.0021364824 0.0034345516 0.009660136 0.0062758406 0.0044127004 0.0017368878 0.00832652 0.004393088 0.0040792963 0.0015505739 0.003966527 0.0018999126 0.004801263 0.004252127 0.0036613154 0.0018790748 0.005252339 0.0040131058 0.010602738 0.0056850286 0.0022308652 0.0012711028 0.0033475235 0.0012514908 0.0005258468 0.0005846828 0.0016376021 0.0024944013 0.0010529193 0.0008666053 0.0051947287 0.0011473021 0.00107866 0.008978619 0.0030925674 0.0031967561 0.001024727 0.00061287504 0.002637814 0.015047308 0.0022124788 0.05124616 0.0011853003 0.010898144 0.00084944477 0.0006741625 0.0026316855 0.00044004427 0.00072074105 0.00063984154 0.0011129811 0.0009278928 0.0014978666 0.0005626193 0.0011632368 0.000583457 0.000495203 0.00070603203 0.0009475048 0.00047191378 0.00046088203 0.00041552927 0.0008886688 0.0032984933 0.00046210777 0.0025274965 0.0014108383 0.0008102208 0.00055894203 0.00044862452 0.0010369846 0.00045352752 0.000505009 0.00048294553 0.0008396388 0.000446173 0.00073545 0.000652099 0.0013127783 0.00067906553 0.0017148243 0.00053197553 0.0008702825 0.0006643565 0.00070603203 0.0015652828 0.0031219854 0.0025115618 0.00460882 0.0008163495 0.0009916318 0.00047559102 0.00084576756 0.00070848357 0.01188855 0.0011387218 0.002266412 0.010255851 0.0043183174 0.0010492421 0.003525257 0.0033377174 0.0018533341 0.0017491453 0.00097447133 0.0012907148 0.0016670201 0.00088499155 0.0009830516 0.00093402155 0.002848643 0.0011399476 0.0029479288 0.0013409706 0.0017969497 0.0007611908 0.0015897978 0.00086783106 0.0033377174 0.00064842176 0.0010762085 0.0017712088 0.0014831576 0.0007121608 0.0005577163 0.0008347358 0.002417179 0.000652099 0.0008702825 0.0009818258 0.0024110505 0.0024098246 0.00054545875 0.0006876458 0.027361194 0.0059718546 0.0010835631 0.0058468278 0.006474412 0.0010333073 0.0006741625 0.00074770756 0.0071779923 0.00096834253 0.0018006269 0.0009107323 0.009055842 0.0021511915 0.004059684 0.002570398 0.009977605 0.003026377 0.003045989 0.0035804159 0.01475558 0.0039603985 0.004263159 0.06831718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017602693 0.0 0.0 0.00051284884 0.00024260515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014670548 0.0 0.0 0.0070294077 0.0047151386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003906864 0.0 0.0 0.0028744105 0.002023757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054601516 3.6851416e-06 1.7811517e-05 6.633255e-05 0.00014740566 7.493121e-05 6.1419023e-06 7.370283e-06 1.5354757e-05 0.0 0.0 1.8425708e-06 7.984473e-06 3.0709512e-06 4.913522e-06 0.00035500198 0.006038104 0.00020391116 0.00021128144 0.00054540095 0.0018923201 0.00048336774 0.0024235947 0.0010545646 0.00019285573 9.949882e-05 9.151435e-05 7.4317024e-05 0.00066516805 0.00037649862 0.0003967669 0.0028608982 0.0131946495 0.0006350727 0.00093664014 0.0020612224 0.0040892786 0.003573973 0.006899199 0.0031784344 0.00044958727 0.00023339229 0.00030770933 0.0003273634 0.0020624509 0.0010938728 0.0011110702 0.008902688 0.020571074 0.0012904137 0.0012216244 0.0020581516 0.0072462168 0.0025366058 0.0066271126 0.003225113 0.002368932 0.00096550706 0.0009673496 0.0013229658 0.004019261 0.002624435 0.0026483883 0.009489239 0.0200312 0.0015471452 0.001239436 0.0022460937 0.009338149 0.004005749 0.005829894 0.0033755896 0.005756805 0.0014003537 0.0017621118 0.0022835594 0.0038264052 0.00175597 0.004006977 0.009581982 0.07335213 0.009729388 0.007215507 0.009991033 0.041686323 0.030329943 0.021114018 0.013827879 0.051014643 0.0052439566 0.006001253 0.009061148 0.0166378 0.0070103677 0.027196344 0.06052538 0.05972079 0.010039554 0.009037196 0.011567659 0.027869496 0.030333629 0.017513635 0.014480149 0.049376596 0.005832965 0.006425044 0.009069134 0.020911336 0.010840458 0.024859965 0.048097238 0.00023154973 4.7292648e-05 8.537244e-05 5.1591982e-05 8.9671776e-05 9.827044e-05 4.2993317e-05 6.510417e-05 0.00013327929 2.8866942e-05 3.3166274e-05 2.8866942e-05 8.352987e-05 5.9576454e-05 7.247445e-05 0.00010625491 5347.0 17.908173 95755.0 0.0048874733 0.00011487651 0.0005012793 8.3546554e-05 0.0030076758 0.00051172264 0.00011487651 0.00015664978 0.00035507284 0.00036551617 0.0006579291 0.00052216597 0.0004490627 0.012793066 0.0010130019 0.00041773275 0.030400502 0.018202705 0.03127774 0.0146519765 0.027768785 0.015967835 0.02847893 0.012918386 0.03115242 0.016134927 0.00074147567 0.00045950603 0.00085635216 0.00048039266 0.00010443319 0.00012531983 0.0012218683 0.007654953 0.006641951 0.013022819 0.0064017545 0.01447444 0.0042399876 0.0027570361 0.0044175237 0.015790299 0.0022035402 0.0035820585 0.006119785 0.005984022 0.0039789043 0.008271108 0.011581641 0.0023497466 0.005367866 0.018369798 0.011727847 0.0056185056 0.0052947626 0.0031329957 0.002495953 0.0048039267 0.0013680748 0.002683933 0.0010443319 0.0025063965 0.0026108297 0.01991541 0.00022975302 0.028990652 0.014902616 0.025648791 0.027277948 0.048874732 0.014390893 0.010683515 0.021241711 0.032562267 0.010056916 0.0074878596 0.025481697 0.0119576 0.037178215 0.032510053 0.021043288 0.003968461 0.03778393 0.027016865 0.0410318 0.011278785 0.013273458 0.006547961 0.0168033 0.005994465 0.0009398987 0.00026108298 0.000490836 0.00022975302 0.00027152628 0.0002819696 5.749711 0.0 2.0 14.0 4.0 815827.0 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 -6.5989366 0.0 0.0 0.0 0.0 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: 0.14264698 0.012638972 0.0067921174 0.007086338 0.009903345 0.0037309695 0.005151993 0.004162911 0.006516677 0.0022911658 0.0040940503 0.0028483074 0.0045510316 0.003480569 0.0020470251 0.005909455 0.0049078525 0.0028608274 0.001965645 0.0026166867 0.0052458933 0.002741887 0.0036245494 0.0026542468 0.0024789663 0.0018467047 0.0013646835 0.0024288862 0.0038248699 0.0014210236 0.0017089844 0.0014585837 0.0043444512 0.0016088241 0.0044195713 0.0012520032 0.005464994 0.0025916467 0.0019719051 0.0016839443 0.0018967849 0.0031237479 0.0022160457 0.0030611479 0.003518129 0.0013459035 0.0020345051 0.0021346654 0.0024789663 0.0018717448 0.0014773638 0.012438652 0.0020845854 0.001965645 0.0020094651 0.0015211839 0.0024351461 0.0016338641 0.0014085036 0.003493089 0.0020407652 0.0024664463 0.0027606671 0.0019155649 0.0040439703 0.008776543 0.0036057692 0.0032802485 0.005389874 0.008920522 0.0028232671 0.0017590645 0.0036558493 0.0020845854 0.0022285657 0.0026041667 0.0041316105 0.0031926082 0.001940605 0.0021659655 0.005928235 0.0029985476 0.0044696513 0.005865635 0.0038624299 0.005934495 0.0043882714 0.0038060897 0.0026041667 0.0034743089 0.0014147636 0.0037497496 0.0027606671 0.0033303285 0.003079928 0.0025353064 0.0022097856 0.0029296875 0.0022097856 0.0019969451 0.003480569 0.006003355 0.0038999899 0.002341246 0.0033866686 0.0033115484 0.0037622696 0.001990685 0.0034617889 0.003117488 0.0028545673 0.0036934095 0.0032990284 0.0014460637 0.0041566505 0.0045385114 0.009984725 0.0069986978 0.0017277644 0.0028921275 0.0022160457 0.0019719051 0.0016964644 0.0029735076 0.0025728666 0.0037998296 0.0021784855 0.0024476664 0.0060972557 0.004206731 0.0018279246 0.0126953125 0.0032426883 0.008519881 0.0018467047 0.0016213441 0.00405023 0.008764022 0.0057216547 0.029259315 0.001978165 0.010610728 0.0016839443 0.0015211839 0.005427434 0.0035995091 0.0012958234 0.0025791265 0.0022974259 0.0029860276 0.001539964 0.0015211839 0.0024101061 0.0018341847 0.0017152444 0.0014272836 0.0024664463 0.0012833033 0.0012019231 0.0018905249 0.0015149239 0.002303686 0.0017590645 0.0010266426 0.0028483074 0.0016526442 0.0011455829 0.0014085036 0.0022723859 0.0011455829 0.0018529647 0.0013271234 0.0014711038 0.0021784855 0.0016150841 0.0016401242 0.0026542468 0.0013646835 0.0025791265 0.0017402845 0.0021534455 0.0017215044 0.0017966246 0.002328726 0.0038248699 0.0028983874 0.0037184495 0.0016401242 0.0021910055 0.0021597056 0.0019218249 0.0022661258 0.0095903445 0.004281851 0.0032239084 0.0063664364 0.0034555288 0.0021910055 0.0047388324 0.0037935697 0.0029109074 0.0029735076 0.0017215044 0.0016025641 0.0020532853 0.0021221454 0.0021910055 0.001934345 0.0033929287 0.0016401242 0.004350711 0.0022160457 0.0014836238 0.001539964 0.0018216646 0.0020532853 0.0037497496 0.0010454226 0.0023224659 0.0022035257 0.0016776843 0.0014460637 0.0022035257 0.002353766 0.0037998296 0.0019969451 0.001978165 0.0018905249 0.0013396434 0.0017340245 0.0018467047 0.0020219851 0.015030298 0.0037810497 0.0015086639 0.0060221353 0.0029422075 0.0014523237 0.001558744 0.0026229466 0.0034555288 0.0020407652 0.0017966246 0.0022160457 0.002378806 0.0017465445 0.0026855469 0.0033553685 0.004613632 0.0023099459 0.0023850661 0.0029797677 0.0041441307 0.0021659655 0.004732572 0.03154422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0049269153 0.00011340726 5.670363e-05 0.00011655746 0.00013545867 0.00015120968 0.00023941533 0.00014805948 0.00013860887 1.2600806e-05 2.2051412e-05 4.7253023e-05 8.1905244e-05 2.5201613e-05 0.00013860887 9.765625e-05 0.0033140122 3.1502015e-05 0.00047253023 0.00011025705 5.985383e-05 5.670363e-05 0.0016507057 0.00075604836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020703126 0.0007245464 0.0012600806 0.0010395666 0.0019783266 0.0013262349 0.0060263355 0.0027847781 0.00050403224 0.00027091734 0.00011025705 0.00011970766 0.0008946573 7.875504e-05 0.00011025705 0.0007780998 0.014994959 0.0020098286 0.0012317288 0.0025863156 0.0027879283 0.0011498235 0.0033045616 0.0026493196 0.00031186995 0.00016381049 8.1905244e-05 0.00016381049 0.00011340726 9.135585e-05 7.875504e-05 0.0005386845 0.023264239 0.0017200101 0.002075983 0.001609753 0.0037298386 0.0018649193 0.005282888 0.0048324093 0.0015183971 0.000733997 0.00025201612 0.00046938003 0.00082535285 0.00032447078 0.0001921623 0.0029170867 0.005894027 0.00023941533 0.00016696069 0.00042527722 0.0007938508 0.0005670363 0.0012096774 0.00057648687 0.00046622983 0.000103956656 0.00012915826 0.00021106351 0.0012096774 0.00011655746 0.00044417844 0.00034967237 0.008864667 0.00068359374 0.0011309223 0.0008190524 0.0019279234 0.00091670867 0.0006016885 0.0013766381 0.0035502773 0.00031502015 0.0001795615 0.0005985383 0.0014459426 0.0005890877 0.0012789818 0.0015278478 0.10134514 0.012273186 0.010124748 0.014626386 0.021474924 0.024262853 0.007900706 0.016636215 0.06264491 0.010137348 0.0030745969 0.012474799 0.024155745 0.010288559 0.024042338 0.038085938 0.01749307 0.0028855847 0.0021200858 0.0038841986 0.004545741 0.0063539566 0.002841482 0.0045583416 0.012399194 0.0025831654 0.00074659777 0.0017830142 0.0057711694 0.0027217742 0.005326991 0.007856603 0.021509577 0.022552293 0.024017137 0.018831905 0.023333544 0.023692666 0.021635585 0.020690525 0.022605848 0.021169355 0.02248614 0.021071699 0.02078503 0.021326864 0.020016382 0.02266255 639.0 9.521127 6084.0 0.021531887 0.0013149244 0.0121630505 0.0016436555 0.005259698 0.005424063 0.0037804076 0.0055884286 0.00739645 0.006574622 0.0037804076 0.003944773 0.003287311 0.00591716 0.009204471 0.00739645 0.005095332 0.0046022353 0.0049309665 0.007232084 0.0023011176 0.0041091386 0.0024654833 0.0049309665 0.00887574 0.0023011176 0.00295858 0.00591716 0.0062458906 0.005424063 0.0064102565 0.003616042 0.0016436555 0.021531887 0.0046022353 0.012984878 0.011998685 0.013149244 0.012984878 0.009204471 0.0046022353 0.008382643 0.0046022353 0.0046022353 0.012820513 0.00591716 0.0062458906 0.005095332 0.0077251806 0.0031229453 0.012327416 0.016107824 0.011669954 0.0037804076 0.0077251806 0.011505589 0.0034516766 0.009861933 0.0034516766 0.0067389873 0.007232084 0.007560815 0.0077251806 0.008382643 0.0041091386 0.031886917 0.006903353 0.015450361 0.020545693 0.072156474 0.009204471 0.009368836 0.010683761 0.03665352 0.0046022353 0.007560815 0.026462853 0.018573307 0.028599605 0.032051284 0.01512163 0.0037804076 0.04799474 0.032708745 0.044543065 0.012820513 0.0060815252 0.008218277 0.008053912 0.010519396 0.0049309665 0.0055884286 0.0034516766 0.0013149244 0.005095332 0.0046022353 6.0443015 1.0 0.0 0.0 2.0 159744.0 135168.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1190291700.0 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 5.0 0.0 4.0 0.0 4.0 0.0 81920.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79872.0 -4096.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 4.711663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 -4096.0 16384.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 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 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 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 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 0.0 0.0 0.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 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 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 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 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 -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 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 1.0 -1.0 -1.0 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 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 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 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 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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4049.0 114688.0 15360.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.3377836 0.017952697 0.008989726 0.007491438 0.006046661 0.0059663956 0.014795591 0.0047624144 0.007973031 0.0060199057 0.010969606 0.006501498 0.01458155 0.00791952 0.012253853 0.0021939212 0.0025149828 0.012387629 0.0057791094 0.003745719 0.0017390839 0.0012574914 0.005270762 0.0049497006 0.004093536 0.0014447774 0.0023812072 0.0035584331 0.0025684931 0.0031571062 0.0015785531 0.0054312926 0.038661174 0.0028360444 0.007223887 0.0016855736 0.001364512 0.0018996147 0.0025684931 0.0007223887 0.0069830907 0.0009096747 0.0040132706 0.0008294092 0.0010166952 0.0022741866 0.00390625 0.0009631849 0.0059663956 0.004254067 0.0033711472 0.0018728595 0.0023812072 0.0018193494 0.0014715325 0.0024079622 0.020173373 0.0034514128 0.002729024 0.0020601456 0.002327697 0.001551798 0.0012039811 0.00098994 0.0010969606 0.004307577 0.0018461044 0.002943065 0.0021671662 0.0020333903 0.0016588185 0.0016588185 0.001551798 0.002327697 0.0010969606 0.0017390839 0.0021939212 0.0019263698 0.0020066353 0.0014180222 0.0020333903 0.0014447774 0.0021671662 0.0035049228 0.002327697 0.0012574914 0.0016855736 0.0011237158 0.0054045375 0.0043878425 0.0011772261 0.00058861304 0.0005618579 0.00066887843 0.0004280822 0.0016320633 0.0008829195 0.006501498 0.0032106165 0.0044145975 0.0032908819 0.015089897 0.0022474315 0.0028360444 0.0017925942 0.0077322344 0.0013377569 0.0012574914 0.005538313 0.0047356593 0.0055918237 0.010006421 0.004468108 0.0014180222 0.009177012 0.008454624 0.010862585 0.0043610875 0.0018728595 0.0014447774 0.0013377569 0.004468108 0.0008294092 0.00080265413 0.00029430652 0.0008829195 0.0008294092 0.00026755137 0.0025952484 0.001364512 0.0003478168 0.00074914383 0.00048159246 0.00029430652 0.0009096747 0.0003478168 0.00040132707 0.00048159246 0.00040132707 0.0003478168 0.00058861304 0.0014715325 0.0008561644 0.0004280822 0.00045483734 0.001551798 0.00040132707 0.0011237158 0.0005083476 0.00058861304 0.0005083476 0.0004280822 0.00037457192 0.00040132707 0.00053510274 0.00037457192 0.008508134 0.00029430652 0.00032106164 0.00029430652 0.0005618579 0.00061536813 0.00032106164 0.00029430652 0.00045483734 0.0005083476 0.00037457192 0.0004280822 0.00048159246 0.00048159246 0.00032106164 0.00026755137 0.00048159246 0.0003478168 0.0004280822 0.00029430652 0.0002140411 0.00053510274 0.0004280822 0.00037457192 0.00040132707 0.0005083476 0.0002140411 0.0005083476 0.00032106164 0.00053510274 0.00045483734 0.00074914383 0.0004280822 0.00053510274 0.00045483734 0.00037457192 0.00053510274 0.0006956336 0.00018728596 0.00040132707 0.00029430652 0.00053510274 0.00029430652 0.0002140411 0.00037457192 0.0004280822 0.0003478168 0.00037457192 0.00040132707 0.00040132707 0.00058861304 0.0004280822 0.0007223887 0.00061536813 0.0006956336 0.00053510274 0.0009631849 0.0006956336 0.0006421233 0.0013110017 0.00066887843 0.0007223887 0.0006956336 0.00074914383 0.0006956336 0.0010702055 0.0006421233 0.00058861304 0.0010702055 0.0010434503 0.00058861304 0.00066887843 0.00058861304 0.00074914383 0.000775899 0.000775899 0.0009631849 0.0008561644 0.000775899 0.00045483734 0.00037457192 0.00053510274 0.0008561644 0.0009631849 0.00080265413 0.0008829195 0.00074914383 0.0009364298 0.0010434503 0.0010969606 0.0010702055 0.0010969606 0.0008294092 0.00058861304 0.0004280822 0.00053510274 0.0004280822 0.00040132707 0.018728595 0.036841825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021651786 0.0012555803 0.0017578125 0.00046037947 0.00036272322 0.00012555804 0.0006417411 0.00048828125 0.0002092634 9.765625e-05 0.00012555804 8.370536e-05 9.765625e-05 5.580357e-05 6.975447e-05 0.0010881696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.064104356 0.02172154 0.009082031 0.0029436385 0.0016601563 0.0020089287 0.0025530134 0.0016462053 0.0017020089 0.001422991 0.00044642857 0.00065569195 0.00043247768 0.0006696429 0.00065569195 0.002580915 0.22512555 0.02686942 0.043987166 0.03359375 0.019754464 0.018624442 0.041810825 0.029715402 0.004966518 0.009375 0.0024414062 0.0028738838 0.0020647321 0.0034040178 0.0028180804 0.01828962 0.07774833 0.0064592636 0.010114397 0.008523996 0.006919643 0.005078125 0.01953125 0.013030134 0.0021344866 0.0027762277 0.0016601563 0.0014927456 0.0016183036 0.0021623883 0.0021763393 0.01000279 0.051018417 0.004422433 0.011146763 0.010295759 0.0019949777 0.0027622767 0.0026227678 0.0014787946 0.0016322545 0.0028738838 0.0013811383 0.0011858259 0.0016462053 0.0056501115 0.0061662947 0.03657924 0.020521764 0.003641183 0.0033203126 0.003655134 0.0021623883 0.0028878348 0.008523996 0.005217634 0.0018554687 0.0008091518 0.00082310266 0.0009626116 0.0008370536 0.0005859375 0.0005998884 0.0007393973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 334.0 15.862275 5298.0 0.012835032 0.00018875048 0.0041525103 0.00094375235 0.002453756 0.0 0.0 0.0 0.0 0.0 0.00018875048 0.0 0.0022650056 0.0054737637 0.015477539 0.0015100038 0.015477539 0.008305021 0.007550019 0.0060400153 0.008305021 0.007172518 0.0066062664 0.007550019 0.0077387695 0.004341261 0.0011325028 0.0 0.0026425065 0.004530011 0.0026425065 0.00037750095 0.00018875048 0.01566629 0.008871272 0.0139675345 0.007550019 0.0077387695 0.006795017 0.008305021 0.005285013 0.010570026 0.003208758 0.004907512 0.00396376 0.009248774 0.0054737637 0.0060400153 0.010192526 0.0058512646 0.011702529 0.017742544 0.009437524 0.00396376 0.0062287655 0.004341261 0.005096263 0.003586259 0.003586259 0.0005662514 0.0 0.0005662514 0.0 0.0054737637 0.0007550019 0.034541335 0.018120045 0.02397131 0.017742544 0.09229898 0.011325029 0.0139675345 0.009248774 0.0403926 0.00396376 0.0062287655 0.031143827 0.025670065 0.03189883 0.04020385 0.015288788 0.004530011 0.04775387 0.04794262 0.06681766 0.026425065 0.009437524 0.007172518 0.0062287655 0.022272555 0.0018875047 0.00037750095 0.0 0.00037750095 0.0 0.0 5.5906267 0.0 0.0 0.0 1.0 37376.0 73728.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542329900.0 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 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 33792.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 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 -33792.0 512.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6872106 7.465753 4.276229 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 -33300.0 354.0 1380.0 0.0 0.0 0.0 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 75.0 41408.0 1380.0 57344.0 0.0 0.0 0.0 0.0 12.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.11141947 0.007019184 0.00962523 0.0050638034 0.0111115 0.004580033 0.0032065306 0.0019181672 0.007877905 0.0021386268 0.002404757 0.0020269875 0.0057139057 0.0038493027 0.0018020172 0.00512357 0.006173995 0.0016379411 0.0014738651 0.0014575139 0.0049064937 0.0023697992 0.0013227573 0.0018860286 0.0046787043 0.0016283559 0.00096303044 0.0013791408 0.003659854 0.002489896 0.0016153877 0.0015657702 0.00844907 0.0015420892 0.001679665 0.0012032242 0.026600052 0.0026928766 0.002853006 0.0012178839 0.003332266 0.0016091856 0.0012917464 0.004170125 0.0028608995 0.0019023798 0.0050158775 0.0037399186 0.005398158 0.0031512748 0.0030125713 0.004641491 0.0033734257 0.002528237 0.0019852635 0.0024103953 0.003126466 0.0020782964 0.0029494218 0.003533555 0.0029150278 0.002965209 0.0022074147 0.003297872 0.0067874477 0.006864129 0.0029838157 0.0030401992 0.0125656305 0.0037134183 0.004510681 0.0036102366 0.004573831 0.0028383462 0.0026094292 0.002383895 0.0066927234 0.0030903805 0.0064468915 0.008303037 0.012743803 0.008230866 0.0066273184 0.0048732273 0.0064497106 0.006057281 0.0055842237 0.0049301744 0.003779387 0.0029911455 0.0021752762 0.003242616 0.0051557086 0.00295506 0.0059501524 0.0067118937 0.0037201843 0.0059557906 0.0021420098 0.0029905818 0.0043387115 0.0062850704 0.0032894143 0.0024239274 0.0068314266 0.003991953 0.004923409 0.0018775711 0.0042738705 0.0024103953 0.0046679913 0.0047728647 0.003536938 0.0015026208 0.004474032 0.004268796 0.010380206 0.005175443 0.0018696774 0.0018166769 0.002927432 0.002079988 0.0013391086 0.0012393097 0.0031315405 0.0017805914 0.0019897742 0.0017896128 0.0039592506 0.0029291236 0.0014231199 0.010736549 0.005438754 0.006010483 0.0028890914 0.0015003653 0.0031197 0.010519473 0.0033491808 0.02340818 0.002787601 0.008938479 0.0024464808 0.0020512324 0.03492846 0.0021301692 0.0019739869 0.0023314585 0.0028039522 0.0023173625 0.0032240094 0.0013847791 0.0018070916 0.0015714086 0.0012455119 0.0012359266 0.0019283162 0.0014405989 0.001799198 0.001344183 0.0021250946 0.0024910239 0.001262427 0.0017078567 0.0016610584 0.0018307727 0.0010058819 0.0010509888 0.0019677847 0.0009348387 0.00095626444 0.0011130106 0.0013165551 0.00097092416 0.0015561851 0.0012737036 0.001864039 0.00095175375 0.0008215078 0.0009032639 0.0013221934 0.00085364643 0.00089818944 0.0009094661 0.0020478494 0.002890219 0.000858721 0.0009224343 0.0018020172 0.00087281683 0.0012077349 0.0012263415 0.0070242584 0.0037511953 0.002774069 0.00519856 0.007550317 0.0009331472 0.0022079784 0.0051737516 0.0019429759 0.0022294042 0.0028107183 0.0010662123 0.001515589 0.0011958943 0.001546036 0.0013537682 0.0017597296 0.0014208646 0.0011231597 0.00072847505 0.0010695953 0.002250266 0.0006484104 0.0006241655 0.008941862 0.010526802 0.00047700453 0.0013221934 0.0008711253 0.0016982715 0.0015590042 0.0017078567 0.002930815 0.0011180851 0.0008096673 0.0005080155 0.00084688043 0.0004775684 0.0004978664 0.0004843344 0.011427811 0.0017800276 0.0006376976 0.002291426 0.0017834107 0.00060837815 0.00057003734 0.00055086694 0.0017969427 0.0013689918 0.00092468964 0.0020579984 0.0012906187 0.00093878555 0.0025490988 0.0034895758 0.0023681077 0.0014603331 0.0011468407 0.0007104323 0.0013069699 0.0010346376 0.0016824842 0.037505187 0.0034662045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000504924 3.6952537e-05 3.6670458e-06 2.2566435e-06 3.3849653e-06 2.8208044e-06 2.2566435e-06 2.2566435e-06 5.077448e-06 2.2566435e-06 2.2566435e-06 1.6924827e-06 1.974563e-06 1.974563e-06 1.974563e-06 1.974563e-06 0.000978537 8.180333e-06 8.744494e-06 3.75167e-05 8.180333e-06 4.8235757e-05 1.24115395e-05 9.308655e-06 4.7953677e-06 2.538724e-06 3.949126e-06 3.6670458e-06 4.513287e-06 1.0719057e-05 1.2129459e-05 1.974563e-06 0.0019720243 1.3257781e-05 0.0014766911 1.6078586e-05 0.00066429947 0.0004124016 8.772702e-05 0.00049956446 8.180333e-06 4.2312067e-06 6.4878504e-06 2.8208044e-06 4.7953677e-06 9.872816e-06 7.052011e-06 1.3821942e-05 0.002784698 4.4004548e-05 0.00033708612 7.757212e-05 0.0003977334 0.00033144452 0.00018871181 0.0002552828 3.667046e-05 1.3821942e-05 8.180333e-06 1.04369765e-05 2.7925964e-05 1.4668183e-05 4.1465824e-05 5.1902804e-05 0.0032944174 9.618943e-05 0.00045189288 0.00092353136 0.0013788092 0.001409274 0.0012030731 0.00053595286 0.00024202502 2.2566435e-05 0.00013229573 1.4104022e-05 1.8899389e-05 2.2002274e-05 1.3539861e-05 6.233978e-05 0.003923739 0.00016614539 0.0022673625 0.0027971098 0.003243925 0.0035226205 0.0077439547 0.0037293856 4.372247e-05 9.9010234e-05 5.5851928e-05 1.833523e-05 4.456871e-05 1.6078586e-05 3.131093e-05 2.6515561e-05 0.0078613 0.00042594149 0.0041395305 0.0032315135 0.0036199384 0.0032416685 0.011508882 0.0059132525 9.0829904e-05 6.5724744e-05 7.193051e-05 4.0619583e-05 6.5724744e-05 4.5414952e-05 3.5542136e-05 8.1239166e-05 0.008857326 0.0015370563 0.004022185 0.004112733 0.00579901 0.004656584 0.007846914 0.004421047 0.0011683772 0.00056782796 0.0002640273 0.0001602217 0.00026628395 0.00018786557 8.6598695e-05 0.0011066016 0.0073933285 0.0029570493 0.004063369 0.004528519 0.00695695 0.0046337354 0.003779596 0.0032636707 0.0037212053 0.0038972234 0.00089052797 0.0009387637 0.0011170385 0.0008352402 0.00036388377 0.007852273 0.013303196 0.005136967 0.007031137 0.007455386 0.010683515 0.008298525 0.006672895 0.0054689758 0.0071222493 0.0065896814 0.0030334932 0.0035161327 0.0031821495 0.0020634185 0.0008496263 0.012423387 0.049688186 0.009463235 0.015823867 0.009630509 0.017990245 0.020458166 0.00927819 0.008614454 0.025869597 0.017005784 0.0057008457 0.00571636 0.013689082 0.013614895 0.007244672 0.014001627 0.0788539 0.017126232 0.026885651 0.0134868305 0.026536718 0.038130507 0.013172311 0.013621665 0.04955392 0.030346496 0.008329271 0.0070463694 0.027804952 0.017581793 0.016134718 0.023823105 0.0017063046 0.0021613003 0.0036611222 0.003288776 0.0037643635 0.003345756 0.0034264312 0.0029880782 0.0036907406 0.004884787 0.0047369767 0.0028918886 0.002071881 0.0023373186 0.002506849 0.002219691 13947.0 23.843622 332547.0 0.027319446 0.0032657038 0.0036385835 0.00253498 0.0067238617 0.00828755 0.002823661 0.0029619874 0.004588825 0.004080626 0.0032566825 0.00410769 0.004513648 0.006504344 0.022640409 0.008140203 0.017137427 0.0132221915 0.010449651 0.009523466 0.008275522 0.008663437 0.0070696776 0.009156601 0.0067870105 0.0060893646 0.011111211 0.0070456206 0.006408117 0.010230133 0.008323636 0.011802843 0.016187185 0.013847667 0.010185027 0.0111773675 0.012013339 0.011132261 0.009078416 0.012037396 0.0110330265 0.009075409 0.007917678 0.007502699 0.009493395 0.009962502 0.015973682 0.018941684 0.023298962 0.014443072 0.014022078 0.01304778 0.011673538 0.009742984 0.009685849 0.013312404 0.010909736 0.0089400895 0.00807104 0.00809209 0.007857536 0.008037961 0.009929423 0.01861391 0.012587694 0.024567956 0.008428884 0.013246248 0.015426391 0.030290455 0.010245169 0.009703891 0.010019637 0.01770276 0.0055029816 0.006564486 0.015164774 0.00917765 0.01852069 0.02142855 0.0116554955 0.004498612 0.019708492 0.018343272 0.023443302 0.009577594 0.005490953 0.0050970237 0.009042331 0.006414131 0.0032566825 0.0027695333 0.0029619874 0.0025470085 0.002216228 0.0024778452 6.368697 11.0 0.0 0.0 34.0 1773568.0 2760704.0 0.0 0.0 181.0 0.0 1.0 0.0 0.0 0.0 1089062400.0 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 1011712.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1011712.0 0.0 565248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0758986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2499213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5318274 0.0 7.4492188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1144344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1008154.0 0.0 565200.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 -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 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 -2.0 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 0.0 0.0 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 -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 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 2.0 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 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 -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 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 -1.0 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 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 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 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 0.0 1.0 0.0 1.0 0.0 1.0 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 -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 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 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 -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 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 1041836.0 565200.0 2195456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 860.0 1015808.0 0.0 0.0 0.0 0.0


Input: 0.11353577 0.008388329 0.005787171 0.0069370233 0.0077980594 0.004756455 0.004377383 0.0038719529 0.008249336 0.0032383606 0.004635513 0.0029224672 0.006083208 0.0032203095 0.002666142 0.007216815 0.00848761 0.0026751675 0.002276239 0.0021119744 0.0035235675 0.015666518 0.0021986195 0.0018773106 0.0032239198 0.002770838 0.0025379795 0.0021895939 0.008989429 0.006319677 0.0018664799 0.0028376272 0.006368415 0.002155297 0.0023358075 0.0023989861 0.011666402 0.0022491624 0.0018375982 0.002005473 0.0023845455 0.0019964476 0.0021444662 0.0029928663 0.0022672135 0.002021719 0.0019603453 0.0020921181 0.0028412372 0.0020397701 0.0019657607 0.0068359375 0.0024080118 0.0027148798 0.001886336 0.0018592594 0.002649896 0.0032509963 0.0023033156 0.0048647616 0.002685998 0.0029910612 0.0019946424 0.0023376127 0.0036643657 0.0025542255 0.002171543 0.0024748007 0.0040632943 0.0067312415 0.0033051495 0.0025867173 0.0029495438 0.00229429 0.0020596262 0.0020144987 0.0027997198 0.004213118 0.0024206475 0.002175153 0.0065236543 0.0035614746 0.0032365555 0.004469443 0.0025596407 0.0036210432 0.004875592 0.0040308023 0.002702244 0.0043069837 0.0019820067 0.0023827404 0.0021697378 0.0036571454 0.0030632655 0.002684193 0.0026192092 0.003498296 0.0020126936 0.0028213812 0.0033340312 0.005574168 0.0055507016 0.0022473573 0.0035542543 0.0035091266 0.0052943765 0.0020108884 0.0034874654 0.0023701047 0.003173377 0.0036661709 0.004973068 0.0029170518 0.004234779 0.0037293495 0.009996679 0.009828804 0.0025668612 0.0026589215 0.0027058544 0.0026192092 0.002223891 0.0017274867 0.0027888892 0.0033502772 0.0025054875 0.0027726432 0.004727573 0.004054269 0.0020650416 0.010727746 0.005778145 0.007761957 0.0019729813 0.0018357931 0.0029531538 0.010189825 0.0025614458 0.018585375 0.003348472 0.007980375 0.0020253293 0.0020199139 0.0024549447 0.0016588927 0.0018394033 0.0017978859 0.003395405 0.0021697378 0.001714851 0.0017617837 0.0021859838 0.0039188857 0.0015740527 0.0017202663 0.0026390655 0.0020794824 0.001801496 0.0016336212 0.0021426613 0.0026444807 0.0016534773 0.0020451853 0.0029080263 0.0021950093 0.0019910322 0.001801496 0.002584912 0.0018953616 0.0021932041 0.001985617 0.0029693998 0.0020957284 0.0016462569 0.0020090833 0.002530759 0.0017852501 0.001852039 0.0017581736 0.003328616 0.0023574687 0.002310536 0.0023033156 0.0025036824 0.0019639556 0.0018123267 0.0017401224 0.0031553258 0.0023863504 0.0020776773 0.0023484433 0.0065128235 0.0040903706 0.002770838 0.0042925426 0.0039676237 0.0019134127 0.0033935998 0.0043087886 0.002918857 0.0027979147 0.0023989861 0.0017924706 0.0062564984 0.0016679182 0.002426063 0.0017762246 0.0027997198 0.0023015104 0.0022527727 0.0022148655 0.0021300255 0.001680554 0.002191399 0.0025379795 0.0031372746 0.0023719096 0.001953125 0.0023159513 0.0021137795 0.002072262 0.002139051 0.002122805 0.003922496 0.0021787633 0.0023231718 0.0021336356 0.0029982815 0.002583107 0.0021101693 0.0018412084 0.013619527 0.0031553258 0.0016967999 0.004770896 0.0040289974 0.0019043871 0.0019910322 0.0018357931 0.00433406 0.0020596262 0.0019007769 0.0023123412 0.0030542398 0.0020325496 0.003241971 0.0028899752 0.005021806 0.002223891 0.0022527727 0.003938742 0.0041661854 0.0035578646 0.0048178285 0.03720324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003096969 0.00021701389 1.989294e-05 9.042245e-06 2.8030961e-05 3.978588e-05 1.6276043e-05 6.510417e-05 3.436053e-05 1.989294e-05 3.616898e-05 1.0850695e-05 1.2659143e-05 1.989294e-05 9.042245e-06 6.872106e-05 0.0042977794 0.00040418838 3.345631e-05 3.1647858e-05 0.00011121962 7.505064e-05 4.5211225e-05 0.00011393229 0.0001401548 1.0850695e-05 1.3563368e-05 1.3563368e-05 2.2605613e-05 8.138021e-06 4.159433e-05 0.00019259982 0.0041060834 0.00022243924 0.000124783 7.685908e-05 0.000132921 8.770978e-05 0.00013382523 9.042245e-05 5.8774596e-05 5.2445022e-05 3.1647858e-05 1.6276043e-05 4.0690105e-05 1.989294e-05 1.3563368e-05 0.00034722223 0.006399197 5.6061923e-05 0.00062843604 8.4092884e-05 0.00029206453 0.00017089843 0.002018229 0.0010877821 0.0001066985 1.2659143e-05 3.616898e-06 4.5211227e-06 2.8030961e-05 9.042245e-06 1.7180266e-05 0.00019259982 0.01402181 0.0008662471 0.00080114295 0.00045482494 0.00063928677 0.00039424188 0.0019015842 0.0010335286 0.00055519387 0.00022424769 0.00012930411 0.00024233217 0.00045120803 0.00016095197 0.0001618562 0.0020363138 0.0039351853 8.680556e-05 0.00052535447 0.00025047018 0.00111943 0.0006347656 0.0040762443 0.0018093532 0.00013472946 5.6061923e-05 3.7073205e-05 5.15408e-05 5.6966146e-05 5.15408e-05 7.233796e-05 6.510417e-05 0.0069661457 0.00089427806 0.0005380136 0.0004376447 0.0006890191 0.0003833912 0.0013509115 0.0008463542 0.000426794 9.58478e-05 0.00011483652 0.0003273293 0.00031919125 0.00013201678 0.00015371817 0.0011393229 0.0076461225 0.0013156467 0.00060673465 0.0005570023 0.00077220774 0.00063566986 0.0026114006 0.0015805844 0.0008219401 0.00032913772 0.0002875434 0.00030110677 0.0006166811 0.00047290942 0.000531684 0.0012839988 0.018287942 0.0018238209 0.0016529225 0.0032009548 0.0014205368 0.0018256294 0.004712818 0.0029504846 0.0066912617 0.0022705079 0.0017098886 0.0022786458 0.0033754702 0.0017813223 0.005815972 0.012424045 0.0573848 0.021426504 0.013166414 0.0074806497 0.00734592 0.012318251 0.007004123 0.012226924 0.0287028 0.003793222 0.004703776 0.005232747 0.010454644 0.004340278 0.008655237 0.01798593 0.037245914 0.015230758 0.00492079 0.00804579 0.010581235 0.014040799 0.0060103806 0.013767723 0.025576895 0.0022216798 0.002754268 0.0031910085 0.013242369 0.00490361 0.012514467 0.023900462 0.02990361 0.027122214 0.02581561 0.025002712 0.02518627 0.025232386 0.02466815 0.025976563 0.025481047 0.025320096 0.025002712 0.024602141 0.02473687 0.024499059 0.025189888 0.02551993 2355.0 9.549893 22490.0 0.043663852 0.003468208 0.005335705 0.003868386 0.009115162 0.004357492 0.0032014227 0.006936416 0.004268564 0.0033348154 0.003468208 0.004401956 0.004401956 0.0055580256 0.006269453 0.004579813 0.006224989 0.005157848 0.0048021344 0.008803912 0.0051133838 0.003868386 0.0050244555 0.003868386 0.0039573144 0.004313028 0.0050689196 0.004490885 0.005824811 0.0063583814 0.004357492 0.0041351714 0.005424633 0.012672299 0.006002668 0.009826589 0.014806581 0.00729213 0.006891952 0.01067141 0.0055135614 0.01067141 0.0035571365 0.0041351714 0.008403735 0.007069809 0.007736772 0.0058692754 0.016096042 0.005246776 0.0075589153 0.02178746 0.008581592 0.006269453 0.014495331 0.011027123 0.0072476654 0.0050689196 0.0037349933 0.0039573144 0.0035126724 0.0048910626 0.0048021344 0.0067585595 0.0061360607 0.031124944 0.008225878 0.024811028 0.017874612 0.058559358 0.013250333 0.011116051 0.009204091 0.032814585 0.0075144507 0.0050689196 0.027256558 0.012761227 0.030991552 0.03654958 0.014895509 0.0037349933 0.03592708 0.026500667 0.05197866 0.019742107 0.009426412 0.0068474878 0.0072032013 0.010093375 0.0050244555 0.0035126724 0.0036016006 0.004090707 0.004268564 0.004713206 6.06701 0.0 0.0 0.0 11.0 553984.0 573440.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1477573900.0 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 9.0 0.0 5.0 0.0 5.0 0.0 220672.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -220672.0 0.0 296448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.871849 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6169343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5218706 0.0 7.209869 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29830.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -220487.0 0.0 296116.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 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 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 1.0 0.0 0.0 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 0.0 0.0 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 -2.0 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 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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -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 2.0 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 -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 -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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 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 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 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 251276.0 296116.0 274432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 242888.0 0.0 0.0 672.0 225280.0 0.0 0.0 0.0 0.0