Input: 0.05675907 0.008308583 0.0061744014 0.0056548556 0.005746113 0.004963165 0.004193698 0.0054194527 0.0050544227 0.0056361896 0.0037467438 0.004459175 0.0049465727 0.0031763841 0.0043285107 0.004642727 0.0050419783 0.0037581509 0.004934129 0.0041491063 0.004363769 0.0031815693 0.0041086627 0.0038483716 0.005080348 0.00334127 0.0031670511 0.002924389 0.0041511804 0.0034460088 0.0037871874 0.0037882244 0.0061733644 0.003816224 0.0034833413 0.0030239427 0.004890574 0.0041646617 0.0038380013 0.0037218553 0.004727762 0.0038960744 0.0033381588 0.003098608 0.0043741395 0.0037218553 0.0037228924 0.0035922283 0.0055190064 0.0039541475 0.003100682 0.0028943154 0.0036731155 0.0030747566 0.002687949 0.002859057 0.004172958 0.0033122336 0.0035227481 0.0033568253 0.003993554 0.003225124 0.0035040816 0.0034563788 0.0065985415 0.003961406 0.0036171165 0.003225124 0.0041532544 0.003214754 0.0035455625 0.0030685344 0.0049973866 0.0037747433 0.0037083742 0.0035756358 0.0041335514 0.0031286813 0.0035580066 0.0034688232 0.0051633096 0.0036285238 0.0036565233 0.0033360848 0.0039230366 0.0033796397 0.0033620102 0.0035393403 0.004647912 0.003649264 0.0038058537 0.003517563 0.0041065887 0.0033879357 0.0036948929 0.0037840763 0.005908925 0.0036274868 0.003342307 0.0029513515 0.004011183 0.0030540163 0.0032634938 0.0030280908 0.004966276 0.0031691252 0.0032106058 0.0030509052 0.003583932 0.0028424647 0.003096534 0.0031867544 0.004516211 0.0032863081 0.003224087 0.0031431997 0.0038908892 0.0033381588 0.003291493 0.0036264497 0.004618875 0.003290456 0.0034719342 0.00316394 0.0040350347 0.0031940136 0.003465712 0.003334011 0.008649762 0.004597098 0.0040184422 0.00352897 0.0043720654 0.0034418607 0.0030187576 0.0033879357 0.004537988 0.0038255572 0.0029534255 0.0031940136 0.0037270405 0.002803058 0.0028414277 0.002984536 0.005247308 0.0032012726 0.0034906005 0.0030353498 0.0036617084 0.0031857174 0.0033101595 0.0032655676 0.0045473212 0.0028362426 0.0030384609 0.0026972822 0.003515489 0.003227198 0.002989721 0.0031504587 0.005008794 0.003402454 0.003278012 0.0027989098 0.0037809652 0.0030208316 0.0030592012 0.0031857174 0.0041356254 0.002992832 0.0031183113 0.0030146095 0.003640968 0.0028352055 0.0029098708 0.0030394979 0.004669689 0.0031224594 0.0038462975 0.002861131 0.0035590436 0.0031504587 0.0029959432 0.0031203853 0.004253845 0.0031431997 0.0033391959 0.00317431 0.00364719 0.0031815693 0.0033184555 0.0033495661 0.0067271315 0.004068219 0.0037260035 0.003335048 0.0041076257 0.0032572716 0.0033060114 0.003227198 0.0043285107 0.0033257147 0.003111052 0.0030685344 0.003637857 0.002991795 0.0030768306 0.0027978728 0.004247623 0.0032749008 0.0030830526 0.0029959432 0.0037073372 0.0030166835 0.0029347592 0.00293787 0.0039790357 0.0031162372 0.0027325407 0.0026433573 0.00352897 0.0029503144 0.003581858 0.0028818713 0.0049465727 0.0032375683 0.0033941579 0.002981425 0.003820372 0.0030820156 0.0032002355 0.0028984635 0.0044415453 0.0054578222 0.003466749 0.0031338665 0.0037861504 0.0030664604 0.0032365313 0.0031898655 0.004612653 0.0033153445 0.0034273425 0.003040535 0.0037457068 0.0030830526 0.0033111966 0.0032365313 0.004349251 0.0030280908 0.0031846804 0.002860094 0.004017405 0.0030923858 0.004224809 0.0045213955 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09924472 0.06201899 0.062448576 0.05530668 0.0606009 0.059550572 0.054955017 0.054449074 0.06047467 0.053169154 0.05211675 0.052950464 0.056406353 0.05052828 0.056642182 0.053818464 4022.0 5.703879 22941.0 0.0171309 0.010461619 0.009328277 0.008630835 0.013469335 0.012510353 0.011769322 0.011507781 0.012597533 0.009720587 0.008543655 0.008587246 0.013992416 0.010592389 0.011769322 0.0098949475 0.01678218 0.011856502 0.008718016 0.0074974936 0.009807767 0.008456475 0.0078026243 0.008369295 0.010287259 0.008500066 0.009589817 0.008805196 0.011507781 0.008979556 0.009633407 0.009284687 0.018002702 0.0109847 0.010374439 0.009110327 0.010853929 0.008892376 0.010679569 0.008325705 0.014210366 0.011594961 0.009764178 0.008979556 0.011420601 0.009371867 0.011638551 0.009633407 0.014777036 0.009633407 0.009938538 0.0091539165 0.012074452 0.009328277 0.009589817 0.009764178 0.013730875 0.009241097 0.010548799 0.009546227 0.01111547 0.009807767 0.010374439 0.010679569 0.017915523 0.0109847 0.009676998 0.008151345 0.013077023 0.008238525 0.009371867 0.008325705 0.015474478 0.009284687 0.0089359665 0.008674426 0.011333421 0.007976985 0.0098949475 0.007889804 0.013251384 0.007933394 0.008718016 0.008761606 0.011464191 0.009459048 0.008238525 0.007933394 0.01089752 0.008979556 0.011943681 0.008587246 0.01128983 0.009110327 0.009938538 0.008761606 6.55463 0.0 0.0 0.0 14.0 964304.0 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: 0.17722946 0.012030104 0.0050772936 0.0055567976 0.0074096797 0.0035602495 0.002888112 0.0024691233 0.009623806 0.0013544377 0.0015512285 0.0016168253 0.0061873593 0.0017507909 0.0014463657 0.0059725526 0.005360007 0.0013493563 0.0012699008 0.0011585709 0.0027328967 0.004205132 0.0013562855 0.0011798205 0.0024654276 0.0014546808 0.0011904454 0.0017249216 0.003970923 0.0022473873 0.0023374674 0.0025702904 0.005730491 0.001869512 0.0018902998 0.0018662784 0.0037616596 0.0019212505 0.0016875037 0.0017286172 0.0038614408 0.0015036475 0.0017669591 0.002850694 0.00133365 0.0009599323 0.00083058624 0.00047442273 0.0025153183 0.000592682 0.00064857793 0.0060986653 0.0011465602 0.0009446879 0.00068091444 0.0005982254 0.0013719918 0.0025744478 0.0006407248 0.0038374194 0.0012583521 0.0010781916 0.0008943354 0.0009770244 0.006146246 0.00501724 0.0022843431 0.0029010465 0.0025933878 0.014415614 0.0027827874 0.0018713599 0.0021988824 0.0021148075 0.0027887928 0.0013493563 0.0016948949 0.008012987 0.0024086079 0.0023023593 0.01147484 0.0037842952 0.0024552648 0.0046158056 0.0031648201 0.0053724796 0.007778316 0.01018369 0.003018382 0.0043446408 0.0030853646 0.0034969621 0.004896671 0.006294994 0.004005107 0.0033736215 0.002230757 0.0025102368 0.0014542189 0.0014144912 0.0020039396 0.0039441297 0.002102335 0.0014865554 0.0049396325 0.001647314 0.006562001 0.0006499638 0.001879213 0.0012241678 0.001434817 0.0016228306 0.0024404824 0.00059545366 0.0018394853 0.0020233414 0.010355535 0.013117997 0.0016089722 0.001415877 0.0031629724 0.00090403634 0.0005432533 0.00055064453 0.0012177004 0.0035948956 0.0014519092 0.00093267724 0.0021138836 0.0017138348 0.0005797474 0.010157359 0.002785097 0.010817947 0.001730927 0.0014214205 0.0015253592 0.014550042 0.0008929495 0.040269114 0.0011082183 0.01508729 0.0016690257 0.0010218336 0.0033052529 0.0006767569 0.0009918069 0.0009063461 0.001517968 0.0008449067 0.0006245565 0.0007197182 0.0011146856 0.0010213717 0.0005354002 0.00069708267 0.0015886463 0.0007086315 0.0008065649 0.00093175337 0.0013923176 0.0015392177 0.0007178704 0.0015821791 0.001702748 0.0048301504 0.0015590816 0.0011955268 0.0023781192 0.001601581 0.00161082 0.0016029668 0.0021734752 0.0012158527 0.0013632147 0.0017443235 0.0032604437 0.0018866042 0.0017152207 0.0020039396 0.0020875526 0.0010121326 0.0010948217 0.001323487 0.0029052042 0.00089849293 0.0009936546 0.00086892815 0.0011890596 0.0014038663 0.0015637011 0.0008319721 0.009441336 0.0024298574 0.0035995152 0.0029915888 0.0018870662 0.0009945786 0.0026746911 0.002580915 0.003721932 0.0023203753 0.0007728425 0.0020764656 0.004316 0.0007515928 0.0029273778 0.0020464389 0.0020011677 0.0008874061 0.0009414543 0.00070124026 0.0019757606 0.0004896671 0.00088833005 0.00072988117 0.0027144188 0.0020621452 0.00060099707 0.0015784835 0.0024857535 0.0015175061 0.0007876249 0.00072156603 0.002767543 0.00058991025 0.00069662073 0.00048643345 0.0022335288 0.0016214448 0.0004693413 0.0005487967 0.022280777 0.004050378 0.00076129375 0.0044744485 0.006902458 0.00050306367 0.00076129375 0.0011678098 0.0055041355 0.0024196946 0.0013216392 0.0013604431 0.0030156102 0.0009428401 0.0033445186 0.0023171417 0.0045603714 0.0019337231 0.0014657676 0.0024275477 0.007192563 0.0022469254 0.0042069796 0.09384239 0.0009257239 1.3865061e-06 0.0 1.3865061e-06 0.0 0.0 0.0 1.3865061e-06 3.6973497e-06 0.0 0.0 0.0 2.3108437e-06 0.0 1.8486749e-06 8.781206e-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 0.0008580162 2.7730123e-06 0.0 3.235181e-06 0.0 0.0 0.0 2.3108437e-06 5.777109e-06 0.0 0.0 0.0 4.6216874e-06 0.0 3.928434e-06 6.585904e-05 0.000712202 3.235181e-06 0.0 3.6973497e-06 0.0 0.0 0.0 1.8486749e-06 4.390603e-06 0.0 0.0 0.0 3.928434e-06 0.0 3.6973497e-06 0.00021352195 0.0007815273 2.6805785e-05 1.5713737e-05 2.0566507e-05 1.0860965e-05 1.270964e-05 1.1554218e-06 4.621687e-07 1.5251568e-05 1.4558314e-05 1.5020483e-05 4.621687e-07 1.8486749e-06 9.243374e-07 1.3865061e-06 2.7267954e-05 0.0024751446 9.335808e-05 6.9556394e-05 2.9809882e-05 6.816989e-05 5.6615667e-05 1.2247471e-05 7.163615e-06 2.333952e-05 6.79388e-05 5.407374e-05 1.1554218e-06 8.5501215e-06 5.777109e-06 4.8527713e-06 0.0003350723 0.0045715417 0.00017793495 0.00024102099 0.00012686531 0.00065466197 0.00045015232 0.00035055497 0.00020196773 4.043976e-05 0.00013079375 0.000101446036 3.2120726e-05 1.0398796e-05 7.163615e-06 1.6869159e-05 0.00045824028 0.021401417 0.0008275131 0.0009324254 0.00026505376 0.0007223697 0.0020890026 0.00077944755 0.0004755716 0.00020312316 0.00077182177 0.00042912364 0.00021375302 0.00026482268 0.00020820701 0.00020173665 0.0028696056 0.014466112 0.0008499283 0.0014140052 0.00017331327 0.001145023 0.0030722665 0.00088412873 0.0005913449 0.00026574702 0.0007299955 0.0018045377 0.00032282484 0.0003353034 0.00035633208 0.00027314172 0.005970989 0.012665734 0.005686293 0.004401926 0.0003958475 0.0042311545 0.007700424 0.0024631282 0.0012071847 0.00030965303 0.0006983369 0.0071922694 0.0021118799 0.00021352195 0.00023223978 0.00032559785 0.016421316 0.014662765 0.0022861175 0.005889647 0.000673842 0.0036943457 0.0067049125 0.004615679 0.001657106 0.00068447186 0.00049706246 0.0032804736 0.004168531 0.00029809884 0.00036834847 0.000945135 0.013463668 0.013402199 0.0014417353 0.0014061483 0.0007447849 0.005077617 0.0017599384 0.0019891742 0.0010470432 0.00051670463 0.0006530444 0.00086910825 0.0013985225 0.00047834462 0.001002444 0.00064172124 0.0021195058 0.01674599 0.0022290398 0.0016806766 0.0015669831 0.009150247 0.0030255874 0.0029336158 0.0016372327 0.004525325 0.0014666924 0.0014854103 0.0026748015 0.001854683 0.0023233222 0.0023804 0.008210196 0.07153448 0.009571283 0.0067478945 0.009166654 0.015385597 0.025947075 0.0101758 0.016139163 0.047363974 0.005352607 0.0049267183 0.0065859044 0.018784616 0.0065043312 0.020589847 0.042782035 0.06746138 0.012732055 0.010019355 0.011542202 0.019945815 0.029804567 0.012201023 0.02165376 0.05149715 0.006025756 0.0074476176 0.0070226537 0.022077799 0.009540318 0.023735369 0.043658536 0.002892714 0.0006470362 0.0012108821 0.0011519556 0.00081665214 0.0007417808 0.000701341 0.0011466406 0.002032849 0.0005754001 0.0006012815 0.0005007598 0.0012046428 0.00053842657 0.0012092645 0.0015390218 3890.0 13.043959 50741.0 0.012534242 0.0007291933 0.0008868568 0.0006897775 0.0043357443 0.0023452435 0.0006109458 0.0016948818 0.0044736997 0.000827733 0.0008474409 0.0015766342 0.0015175105 0.001103644 0.011134979 0.0005715299 0.0070554386 0.0020496245 0.004099249 0.0020496245 0.0014386788 0.00070948544 0.0007291933 0.0028970656 0.0017737136 0.005183185 0.0015175105 0.004690487 0.0016948818 0.00092627265 0.0007489013 0.010445202 0.02540352 0.02617213 0.018426914 0.035631936 0.013480223 0.016534952 0.018899903 0.008553241 0.0048678583 0.016869986 0.0007291933 0.002226996 0.009952504 0.016810862 0.01036637 0.014386788 0.024615202 0.005399972 0.013854674 0.018190417 0.019274354 0.008099958 0.017894799 0.011529138 0.0056167594 0.0026605704 0.0017342977 0.0020299167 0.005222601 0.0029364813 0.0032715162 0.021560473 0.0017145898 0.036972076 0.009164187 0.018486038 0.01893932 0.05997123 0.005735007 0.009558345 0.012140084 0.031276483 0.0053605568 0.004710195 0.027472852 0.011824757 0.030744368 0.042174965 0.012888986 0.0007489013 0.03787864 0.022269959 0.05423622 0.017086774 0.0044736997 0.0048284424 0.009656885 0.006858359 0.0014780946 0.0005124061 0.000827733 0.0005715299 0.0015372185 0.00080802507 5.7858944 1.0 0.0 0.0 13.0 2164736.0 2273280.0 1.0 0.0 593.0 0.0 1.0 0.0 1.0 0.0 1511170300.0 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 14.0 0.0 6.0 0.0 6.0 0.0 1527296.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 323072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1528320.0 0.0 289792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.213795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.708858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.622711 0.0 4.868057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 322652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1527792.0 0.0 289456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 -2.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -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 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 -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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 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 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 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1841368.0 289456.0 1982464.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1742432.0 0.0 0.0 0.0 0.0 24.0 1742612.0 64.0 1742520.0 0.0 0.0 2432.0 1531904.0 0.0 0.0 0.0 0.0


Input: 0.03435618 0.0044418513 0.0036531661 0.003802694 0.0055413195 0.0037909662 0.0035974598 0.0035740044 0.0037352599 0.0040929536 0.0051953536 0.003972745 0.003486047 0.0052246726 0.0039082426 0.004136932 0.0035446854 0.0035681406 0.003348247 0.0036091874 0.003550549 0.0036326428 0.0037088725 0.0034596599 0.0034977747 0.0034889788 0.0035388216 0.003661962 0.0036795535 0.003486047 0.003591596 0.0036795535 0.003867196 0.003588664 0.003729396 0.003450864 0.0042043664 0.0036326428 0.0036297108 0.0034596599 0.0035153662 0.0037323278 0.00379683 0.0035622767 0.00365903 0.0035358896 0.0036707576 0.0036385066 0.0050604856 0.005277447 0.00525106 0.004978392 0.0053155622 0.004793681 0.0050722132 0.004905094 0.004896298 0.004940277 0.0038906513 0.0036531661 0.0036560982 0.005042894 0.003620915 0.0036297108 0.0036091874 0.0044741025 0.004559128 0.0063798474 0.004858183 0.004497558 0.004518081 0.0037880342 0.0036355746 0.0037587152 0.003527094 0.0034772512 0.0037733747 0.0036766215 0.0036062556 0.0034713876 0.003594528 0.0037851024 0.0035769364 0.0052422644 0.0037440555 0.0035446854 0.0036033236 0.0036678258 0.0036531661 0.0036355746 0.0033042682 0.0034948427 0.0034303407 0.0035798682 0.0034274086 0.003588664 0.0037352599 0.0038232172 0.0036003918 0.003620915 0.0038759918 0.004142796 0.0038994472 0.0036883492 0.0038935833 0.00393463 0.0037000768 0.003591596 0.0038554682 0.003553481 0.0052364003 0.0037851024 0.0036648938 0.00365903 0.0039229025 0.0039258343 0.0041222726 0.003761647 0.003518298 0.0036502343 0.003527094 0.0037352599 0.003802694 0.0037235322 0.0035065704 0.0035974598 0.0035740044 0.0036502343 0.0040900214 0.0038789236 0.0034303407 0.0036531661 0.0035124342 0.0035828003 0.0035974598 0.0035300257 0.0036385066 0.0039258343 0.0035036386 0.0040929536 0.0037821704 0.0037821704 0.003553481 0.003661962 0.0035417534 0.0035388216 0.0035124342 0.0035241619 0.003386362 0.0034801832 0.0035798682 0.0037176684 0.0036824853 0.0036502343 0.0034743194 0.00365903 0.00365903 0.0034625917 0.0035769364 0.0036355746 0.0036062556 0.0037030086 0.0035358896 0.003588664 0.0034274086 0.003661962 0.0033980897 0.0035329578 0.003527094 0.003993268 0.0035065704 0.0035476172 0.0037792386 0.0035974598 0.0036062556 0.0034684555 0.003553481 0.0038525364 0.003691281 0.003418613 0.0036062556 0.003691281 0.0035476172 0.003559345 0.004002064 0.0036414384 0.0036766215 0.0037088725 0.0035300257 0.0037528514 0.0036062556 0.0034919109 0.003911175 0.0037645788 0.0037235322 0.0036707576 0.0038496044 0.0034801832 0.0035358896 0.0036648938 0.0041222726 0.0035153662 0.003591596 0.0035446854 0.0036033236 0.0036033236 0.0034919109 0.0036678258 0.0036414384 0.0037909662 0.0034450002 0.0036648938 0.003518298 0.0037206002 0.0035828003 0.0035564129 0.0035681406 0.0036560982 0.0035652088 0.00338343 0.0036121195 0.0036678258 0.0035740044 0.003559345 0.0037381917 0.0033541108 0.0036971448 0.003620915 0.0040343152 0.0034362045 0.0035622767 0.0035974598 0.0035740044 0.0035476172 0.0034948427 0.0037733747 0.003761647 0.0035710726 0.00352123 0.006145294 0.003620915 0.003518298 0.0034655237 0.0037147363 0.00352123 0.0035329578 0.0036033236 0.0035710726 0.0037323278 0.0034743194 0.0036062556 0.003694213 0.0036033236 0.0034713876 0.0035681406 0.0055413195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051254826 0.0001161874 5.0004706e-05 3.8238893e-05 3.970962e-05 2.5002353e-05 3.088526e-05 7.647779e-05 0.00012354105 4.706325e-05 6.7653426e-05 2.5002353e-05 4.2651074e-05 2.647308e-05 0.00015148484 3.8238893e-05 0.009742093 0.000489752 0.00011471668 0.0001161874 0.000117658135 7.3536336e-05 8.236069e-05 0.00013089467 0.00042062782 7.647779e-05 0.00010589232 8.6772874e-05 7.3536336e-05 5.8829068e-05 0.00027943807 7.941924e-05 0.0023649284 0.0 1.323654e-05 0.011967303 0.005551993 0.0011868764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00030591115 0.0 1.4707266e-06 0.0014251341 0.0007015366 0.00015589703 0.0004132742 8.82436e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020001882 6.177052e-05 0.00011324595 6.324125e-05 0.00010000941 6.177052e-05 3.3826713e-05 7.647779e-05 0.000188253 2.0590172e-05 2.0590172e-05 3.088526e-05 6.324125e-05 2.5002353e-05 6.61827e-05 8.6772874e-05 0.006121164 0.00016325066 0.00042651073 0.001991364 0.0011986422 0.0005838785 0.0026855469 0.0009824454 0.00012501176 5.5887613e-05 7.3536336e-05 0.00010589232 8.6772874e-05 6.324125e-05 0.00014854339 0.0002485528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074286405 0.00034856223 0.00087508233 0.0006015272 0.0007500706 0.0006912415 0.0007647779 0.0007324219 0.0008544922 0.0004353351 0.00055887614 0.000522108 0.00072359754 0.0003809182 0.0012221738 0.0011824642 0.0047313278 0.00030738188 0.0008044875 0.00042798146 0.00059858576 0.000457396 0.00070006587 0.0007338926 0.0008544922 0.00039856692 0.00048239835 0.0006191759 0.00087508233 0.0004985763 0.0010853963 0.0014854339 0.0023163946 0.00033238422 0.0006559441 0.0005897614 0.0005897614 0.00045004237 0.00048239835 0.0004809276 0.00076330715 0.0003647402 0.0006162345 0.0005853492 0.001086867 0.00037356457 0.0018339962 0.00052652013 0.05539786 0.05539639 0.055714067 0.056697983 0.056019977 0.055258144 0.056092042 0.056067042 0.056071453 0.055840548 0.055733185 0.05652738 0.055967033 0.056236174 0.05579643 0.0557626 2053.0 9.056502 18593.0 0.0066691767 0.004248911 0.0051632333 0.0038186414 0.006185123 0.004625397 0.0044102618 0.0037648578 0.004248911 0.005754854 0.0047867475 0.0039262087 0.0041413433 0.0045178295 0.005754854 0.006238907 0.026784273 0.033668585 0.032969397 0.033023182 0.032646693 0.02979616 0.030280214 0.02775238 0.02759103 0.029312106 0.005217017 0.00510945 0.006776744 0.033614803 0.00510945 0.0047867475 0.004248911 0.023288334 0.02102942 0.051202066 0.022427795 0.024310224 0.021083204 0.0063464744 0.0053245844 0.0053245844 0.004248911 0.005217017 0.005754854 0.005754854 0.005055666 0.005754854 0.0048405314 0.0039799926 0.005270801 0.033614803 0.0055397195 0.0047867475 0.005593503 0.0048943153 0.004195127 0.0050018826 0.0049480987 0.0043026945 0.0047867475 0.005055666 0.0045178295 0.00510945 0.005647287 0.00833647 0.0053783683 0.0068843113 0.0076910667 0.012531598 0.0055397195 0.0059699886 0.00672296 0.008228904 0.0043026945 0.0045178295 0.00817512 0.0060237725 0.034959394 0.011079439 0.006185123 0.00467918 0.007852417 0.007637283 0.010595385 0.005754854 0.0045178295 0.0060237725 0.004625397 0.00613134 0.0059162052 0.004195127 0.0043564783 0.0045178295 0.00510945 0.0044102618 6.0622797 0.0 4.0 0.0 3.0 341074.0 1007616.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1241631400.0 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 8.0 0.0 4.0 0.0 4.0 0.0 311296.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -308224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.124025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -311296.0 0.0 0.0 0.0 0.0 0.0 667648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 832.0 1003468.0 20428.0 983040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 979624.0 0.0 0.0 0.0 0.0 64.0 800728.0 0.0 0.0


Input: 0.14280266 0.008652516 0.004196632 0.0034325884 0.0062569333 0.00395857 0.0020341265 0.0019655745 0.007903429 0.0015143772 0.001706323 0.0015093916 0.004585509 0.0013760268 0.001233937 0.0038999887 0.0061796564 0.0015093916 0.001190313 0.00089865515 0.0024778452 0.0019880095 0.00077027583 0.00082885666 0.0023145666 0.0007578118 0.00083384226 0.0007141878 0.0016228141 0.0006069973 0.0005970261 0.00056835887 0.0039024816 0.0005895477 0.0006556069 0.00054592366 0.0041779364 0.0013249243 0.0004674004 0.00056461967 0.001190313 0.0006568533 0.0005870549 0.0009485112 0.0011117897 0.002355698 0.000680535 0.00052099564 0.0056636464 0.002644863 0.0032256858 0.010079645 0.0033590507 0.0018446735 0.0027819672 0.0015430445 0.0038875248 0.0019256895 0.0007191734 0.001491942 0.0016776557 0.000982164 0.0004686468 0.00053221325 0.011852027 0.0039548306 0.004934502 0.008886839 0.003895003 0.032780346 0.0032904986 0.0027271255 0.003406414 0.0035721853 0.002203637 0.0023706548 0.0027283719 0.0044172453 0.0011678778 0.001541798 0.009121163 0.0021587666 0.002070272 0.009822886 0.0032269321 0.013932271 0.0032443819 0.002110157 0.0019394 0.006558562 0.0027607782 0.0032817738 0.0015766973 0.004669018 0.0023943363 0.0036295198 0.0058044894 0.0044272165 0.0016863806 0.0032693099 0.009238324 0.00616096 0.0039236704 0.0015442908 0.007862298 0.0042564594 0.0036419837 0.0013772731 0.0034899227 0.001743715 0.0043387217 0.0040632673 0.0031695978 0.001718787 0.0048410217 0.0038663358 0.010210517 0.0055751516 0.0016751629 0.0011192681 0.0027807206 0.0012725755 0.00053470605 0.0005945333 0.0016651917 0.002536426 0.0010706584 0.00088120555 0.0052822474 0.0011666314 0.0010968329 0.009129887 0.0031446698 0.0032506138 0.0010419913 0.0006232005 0.0026822549 0.015300819 0.0022497538 0.052109532 0.0012052698 0.011081751 0.0008637559 0.0006855206 0.002676023 0.00044745798 0.0007328838 0.0006506213 0.0011317321 0.0009435256 0.001523102 0.00057209807 0.0011828346 0.0005932869 0.00050354603 0.000717927 0.000963468 0.0004798644 0.0004686468 0.00042252993 0.00090364076 0.0033540651 0.0004698932 0.002570079 0.0014346075 0.00082387106 0.00056835887 0.00045618278 0.0010544553 0.00046116838 0.00051351724 0.000491082 0.0008537847 0.00045368998 0.0007478406 0.0006630853 0.0013348955 0.0006905062 0.001743715 0.00054093805 0.00088494475 0.0006755493 0.000717927 0.0015916541 0.0031745834 0.0025538758 0.004686468 0.00083010306 0.0010083384 0.0004836036 0.0008600167 0.0007204198 0.012088844 0.0011579065 0.0023045954 0.010428637 0.004391071 0.0010669193 0.0035846494 0.00339395 0.0018845584 0.0017786142 0.0009908888 0.0013124603 0.0016951053 0.00089990156 0.0009996137 0.0009497576 0.002896636 0.001159153 0.0029975944 0.0013635628 0.0018272239 0.00077401503 0.0016165822 0.00088245195 0.00339395 0.0006593461 0.0010943401 0.0018010495 0.0015081452 0.000724159 0.00056711247 0.00084879907 0.0024579028 0.0006630853 0.00088494475 0.0009983672 0.0024516708 0.0024504245 0.00055464846 0.000699231 0.027822163 0.006072466 0.0011018185 0.005945333 0.00658349 0.001050716 0.0006855206 0.0007603046 0.0072989245 0.0009846569 0.0018309631 0.00092607597 0.009208411 0.002187434 0.0041280803 0.002613703 0.010145704 0.003077364 0.0030973065 0.0036407374 0.015004176 0.0040271217 0.004334983 0.06946816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027130204 0.0 0.0 0.00071618747 0.00040710918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009769996 0.0 0.0 0.004052984 0.002801061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000628147 0.0 0.0 0.00037401594 0.00027660947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005550921 3.7464035e-06 1.8107618e-05 6.743526e-05 0.00014985613 7.617687e-05 6.244006e-06 7.492807e-06 1.5610014e-05 0.0 0.0 1.8732018e-06 8.1172075e-06 3.122003e-06 4.9952046e-06 0.00036090353 0.006138482 0.000207301 0.00021479379 0.0005544677 0.0019237782 0.0004914033 0.0024638847 0.0010720958 0.00019606178 0.000101152895 9.3035684e-05 7.555247e-05 0.0006762258 0.00038275754 0.00040336276 0.0029084578 0.013413997 0.0006456302 0.00095221086 0.0020954884 0.004157259 0.003633387 0.007013892 0.003231273 0.00045706122 0.00023727222 0.00031282468 0.0003328055 0.002096737 0.0011120575 0.0011295406 0.009050686 0.020913048 0.0013118656 0.0012419327 0.0020923663 0.007366678 0.0025787745 0.006737282 0.0032787274 0.002408313 0.0009815576 0.0009834309 0.0013449588 0.004086077 0.0026680636 0.0026924154 0.0096469885 0.0203642 0.0015728651 0.0012600403 0.002283433 0.009493386 0.0040723407 0.00592681 0.0034317055 0.0058525065 0.0014236333 0.0017914053 0.0023215213 0.0038900157 0.0017851612 0.0040735896 0.009741274 0.074571535 0.009891129 0.007335458 0.010157124 0.042379316 0.03083415 0.021465018 0.014057755 0.051862713 0.005331132 0.006101018 0.009211781 0.016914386 0.0071269083 0.027648458 0.061531555 0.06071359 0.010206452 0.00918743 0.01175996 0.0283328 0.030837895 0.017804783 0.014720868 0.050197434 0.0059299325 0.0065318546 0.009219899 0.021258967 0.01102067 0.025273237 0.04889681 0.00023539901 4.8078844e-05 8.679168e-05 5.244965e-05 9.116248e-05 9.990409e-05 4.370804e-05 6.618646e-05 0.00013549492 2.9346827e-05 3.371763e-05 2.9346827e-05 8.491848e-05 6.0566857e-05 7.3679264e-05 0.0001080213 5347.0 15.380213 82238.0 0.0056908 0.00013375812 0.0005836718 9.727863e-05 0.0035020306 0.0005958316 0.00013375812 0.00018239743 0.00041343417 0.00042559401 0.0007660692 0.0006079914 0.00052287267 0.01489579 0.0011795034 0.00048639314 0.025535641 0.016780565 0.026496267 0.011673436 0.02199713 0.013728446 0.023079354 0.01065201 0.025620759 0.013983803 0.00086334784 0.0005350325 0.000997106 0.0005593521 0.000121598285 0.00014591795 0.0014227 0.008913155 0.007733651 0.015163306 0.0074539753 0.016853523 0.0049368907 0.0032101949 0.0051436075 0.018385662 0.0025657238 0.004170821 0.00712566 0.006967582 0.004632895 0.009630584 0.01348525 0.0027359615 0.006250152 0.021389138 0.013655487 0.006541988 0.006165033 0.0036479486 0.002906199 0.005593521 0.0015929376 0.003125076 0.0012159828 0.002918359 0.0030399573 0.023188794 0.00026751624 0.031724993 0.012609743 0.02768793 0.026058514 0.05475571 0.011260002 0.010275056 0.018835574 0.035859335 0.006773025 0.006773025 0.024368297 0.01208687 0.037987307 0.035312142 0.019103091 0.0027481213 0.03911817 0.029365987 0.042206764 0.0111262435 0.009667064 0.0059339963 0.01348525 0.0069797416 0.0010943846 0.0003039957 0.000571512 0.00026751624 0.00031615555 0.00032831536 5.77258 0.0 2.0 14.0 4.0 802310.0 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 -6.5750422 0.0 0.0 0.0 0.0 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: 0.22422911 0.014924704 0.006588383 0.00878451 0.009411976 0.0056471853 0.010666906 0.003226963 0.0038992472 0.0033614198 0.002554679 0.003316601 0.002689136 0.0035855146 0.001972033 0.0024650411 0.013580136 0.002016852 0.0018375762 0.0034062387 0.0029132306 0.001972033 0.0017479383 0.0022409465 0.0018823951 0.0013893868 0.00089637865 0.0015686626 0.0021513088 0.0043026176 0.001344568 0.002016852 0.010756544 0.0035855146 0.0016134816 0.0010308354 0.0023305845 0.005781642 0.0012101112 0.00089637865 0.0017031194 0.0017031194 0.0022409465 0.0028235926 0.0015686626 0.002554679 0.0056471853 0.0034958767 0.018151667 0.0073951236 0.0055127284 0.004661169 0.002599498 0.0034062387 0.002733955 0.0018823951 0.0030925062 0.0024202224 0.0022857655 0.002554679 0.001972033 0.002599498 0.002599498 0.0041233418 0.01761384 0.009591252 0.0029132306 0.005960918 0.004033704 0.005826461 0.001299749 0.0074847615 0.0072606667 0.00546791 0.000672284 0.0021513088 0.0034958767 0.0017031194 0.0030925062 0.0010308354 0.010084259 0.0018823951 0.0031373252 0.0077984943 0.0036303333 0.008829329 0.002554679 0.0016583005 0.0062746503 0.005243815 0.0049300822 0.0010756544 0.00125493 0.004437074 0.0012101112 0.0028684116 0.0017927573 0.014117964 0.0034958767 0.008605235 0.004481893 0.029132305 0.004526712 0.0097257085 0.004437074 0.0113391895 0.0018823951 0.0014790248 0.013087128 0.008201865 0.01003944 0.0092327 0.004437074 0.0007619218 0.018151667 0.0082466835 0.020751165 0.011070276 0.0018375762 0.0018823951 0.0030476872 0.005736823 0.0013893868 0.00044818933 0.001299749 0.0011204733 0.000672284 0.00094119756 0.0020616709 0.0013893868 0.0031373252 0.0029132306 0.0021064898 0.00250986 0.0038544282 0.0005826461 0.0014342058 0.003316601 0.00089637865 0.0076192184 0.00125493 0.0014790248 0.0007619218 0.0008515597 0.00089637865 0.0005826461 0.000672284 0.0007619218 0.0010756544 0.00094119756 0.000627465 0.0008067408 0.00089637865 0.0005378272 0.000672284 0.0008067408 0.00094119756 0.0007619218 0.00094119756 0.0005378272 0.0017479383 0.00094119756 0.0007619218 0.0010756544 0.0010308354 0.0010308354 0.0007619218 0.000627465 0.0009860165 0.0007171029 0.00049300824 0.000627465 0.000627465 0.000672284 0.00089637865 0.0007171029 0.0014790248 0.0008515597 0.000672284 0.000627465 0.00094119756 0.00044818933 0.0005826461 0.00094119756 0.0013893868 0.0007171029 0.0005378272 0.00089637865 0.0009860165 0.0007171029 0.0011204733 0.0008515597 0.003988885 0.00094119756 0.00125493 0.0030028685 0.0016583005 0.00049300824 0.0007171029 0.0014790248 0.0010308354 0.0016583005 0.0010756544 0.0007171029 0.001972033 0.0010308354 0.000672284 0.0007171029 0.0010756544 0.0007619218 0.0005378272 0.0005378272 0.00125493 0.00089637865 0.0010756544 0.00089637865 0.0007171029 0.0007619218 0.0008067408 0.0010756544 0.0009860165 0.0007171029 0.0005826461 0.000627465 0.00125493 0.0008067408 0.00089637865 0.0005826461 0.0013893868 0.00044818933 0.0007619218 0.0007619218 0.005243815 0.0007171029 0.00089637865 0.0016583005 0.005064539 0.0007171029 0.0007171029 0.000627465 0.0018375762 0.0004033704 0.00089637865 0.0011204733 0.0013893868 0.0005826461 0.0010756544 0.0019272141 0.0016583005 0.0007619218 0.0003137325 0.0004033704 0.0021064898 0.0016134816 0.0017927573 0.014386877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030883789 0.0003173828 0.001171875 0.0017333984 0.0023925782 0.0010498047 0.008398438 0.0036132813 4.8828126e-05 2.4414063e-05 0.0 9.765625e-05 4.8828126e-05 0.0 7.324219e-05 0.00014648438 0.02980957 0.0006591797 0.0012695312 0.0071044923 0.0018798828 0.0007324219 0.004345703 0.0013916015 0.00034179687 0.00036621094 0.0003173828 0.0003173828 0.0004394531 0.0003173828 0.00029296876 0.00041503907 0.020776367 0.0005859375 0.00046386718 0.0037597655 0.020629883 0.013427734 0.026000977 0.013525391 4.8828126e-05 2.4414063e-05 0.00017089843 0.00012207031 0.0 0.00021972656 0.00014648438 9.765625e-05 0.041625977 0.003540039 0.005053711 0.008422852 0.020361328 0.013403321 0.03378906 0.01669922 0.0007324219 0.0008544922 0.00068359374 0.0007568359 0.00061035156 0.00083007815 0.00095214846 0.0016845703 0.09467773 0.011791992 0.013012695 0.016967773 0.017700195 0.015161132 0.03276367 0.01809082 0.006665039 0.0019775392 0.0021240234 0.002001953 0.0041503906 0.0017822266 0.0046142577 0.006518555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027368164 0.0078125 0.0061767576 0.0025634766 0.005517578 0.007983399 0.0032226562 0.0044921874 0.009960937 0.0006591797 0.0010986328 0.0012939454 0.005419922 0.0009033203 0.0060546873 0.009472656 0.061035156 0.019140625 0.020654297 0.027148437 0.0145019535 0.017553711 0.03100586 0.025195312 0.018066406 0.0073242188 0.008081054 0.007421875 0.010620117 0.0078125 0.01015625 0.014282227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 315.0 21.825397 6875.0 0.016145455 0.00029090908 0.00058181817 0.0 0.003781818 0.0011636363 0.0011636363 0.0 0.0014545454 0.00043636363 0.00029090908 0.00058181817 0.0014545454 0.0049454547 0.013090909 0.008727273 0.026036363 0.011636363 0.008581818 0.004072727 0.0030545455 0.0042181816 0.0036363637 0.0013090909 0.0027636364 0.0026181818 0.0033454546 0.0014545454 0.00058181817 0.0010181818 0.0024727273 0.010472727 0.043054547 0.02589091 0.0059636366 0.016727272 0.0074181817 0.0062545454 0.0014545454 0.0192 0.0148363635 0.014254546 0.00043636363 0.0039272727 0.005090909 0.0016 0.0056727272 0.00087272725 0.026036363 0.003781818 0.006981818 0.018327273 0.009890909 0.0016 0.0026181818 0.0024727273 0.016872726 0.010618182 0.013672727 0.0007272727 0.0013090909 0.00058181817 0.00087272725 0.006690909 0.0007272727 0.0416 0.007709091 0.024872728 0.010327273 0.08814546 0.010036363 0.02938182 0.007563636 0.0304 0.00014545454 0.0023272727 0.035490908 0.024145454 0.026763637 0.026763637 0.010763637 0.00043636363 0.053090908 0.024 0.057163637 0.018472727 0.0032 0.0039272727 0.0059636366 0.016290909 0.001890909 0.0 0.00043636363 0.00029090908 0.00043636363 0.00014545454 5.567498 0.0 18.0 0.0 2.0 22312.0 28672.0 1.0 71.0 94.0 1.0 1.0 1.0 0.0 0.0 1541099800.0 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 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 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 14.0 15.0 5.0 1.0 5.0 1.0 4096.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1707783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4762034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.26546687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0971417 0.0 3.394072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3878.0 0.0 1056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 2224.0 9680.0 100.0 11904.0 1056.0 20480.0 0.0 0.0 6952.0 15360.0 440.0 24576.0 56.0 8640.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8696.0 0.0 0.0 392.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.034678 0.0076307883 0.006149222 0.0062796534 0.007201591 0.0049597337 0.0064190035 0.005743436 0.007212739 0.0048437947 0.00503331 0.004747922 0.0064245774 0.0048660906 0.005050032 0.005397849 0.0066765216 0.006112434 0.004605228 0.0042875106 0.0055884793 0.004312036 0.004353284 0.0047356593 0.005495951 0.0040299925 0.0039151683 0.0038482805 0.0048727794 0.0036063695 0.0036988978 0.004522733 0.0095694205 0.0053499127 0.0042172787 0.0037680152 0.0054937215 0.004691067 0.003948612 0.004691067 0.0045249625 0.003984286 0.0034469534 0.003856084 0.0044658785 0.0038114921 0.00401773 0.004104684 0.00547477 0.0036933238 0.004257411 0.0036721425 0.0048616314 0.0035684663 0.003664339 0.004120291 0.0044034496 0.0037546377 0.0030244454 0.0036565354 0.0045517175 0.0029508686 0.0029475242 0.0036364691 0.0059452145 0.004576243 0.0045673246 0.00492406 0.0049920627 0.004275248 0.0040366813 0.0043543987 0.00607899 0.0043778094 0.0034960045 0.0040143854 0.0044536153 0.0037825075 0.0038248699 0.0039263163 0.004985374 0.0033254405 0.00363201 0.0040088114 0.0043599727 0.0040311073 0.0036810609 0.003907365 0.004669886 0.0030891036 0.0033466218 0.0035528592 0.004110258 0.0033912137 0.0029831978 0.003819296 0.0046074577 0.0041236356 0.002954213 0.00319055 0.0045918506 0.0034725938 0.0030824149 0.0031214326 0.004736774 0.004216164 0.0028237817 0.0032641266 0.0040979953 0.0036465023 0.0030779555 0.0037379155 0.0046397867 0.0027970267 0.0038204107 0.003163795 0.0048460243 0.004422401 0.002910736 0.0034291167 0.0037880815 0.003482627 0.0020802119 0.0026376105 0.0035461704 0.0027000392 0.0026164295 0.003630895 0.0061915847 0.0044603045 0.0036687981 0.0043655466 0.004664312 0.004048944 0.0034948897 0.003917398 0.004506011 0.004080158 0.00321842 0.0043209544 0.003400132 0.0036164026 0.0025350493 0.003174943 0.006569501 0.0031938944 0.004050059 0.0033689176 0.0032830783 0.0031437287 0.0028817512 0.003735686 0.0033655732 0.0029129656 0.0027490903 0.002805945 0.0034101652 0.0024570134 0.0026532176 0.0029408354 0.0038705764 0.0033321294 0.0023421892 0.0026108555 0.0041882936 0.0029397206 0.0027022688 0.003395673 0.0031370397 0.0028159781 0.0022920235 0.0026309218 0.0034213131 0.0028126338 0.002161592 0.0028951287 0.004511585 0.0029073916 0.0024770799 0.0024993757 0.00398986 0.002839389 0.0028460778 0.0033934433 0.0044090236 0.0031994684 0.0033878693 0.002712302 0.0034146244 0.0023366152 0.0023778628 0.003032249 0.0050466876 0.0035628923 0.003669913 0.0037524079 0.0036766017 0.0026922356 0.003438035 0.0036264358 0.004912912 0.0040467144 0.0023087454 0.0028014858 0.0028850955 0.002463702 0.0020434235 0.0033622289 0.004076814 0.0024993757 0.0034636755 0.0030400525 0.0033577697 0.0022975975 0.0029452946 0.0030456265 0.0040879617 0.0026153147 0.0028126338 0.0029954605 0.0034391498 0.0027814195 0.0023689445 0.003032249 0.0046888376 0.0029831978 0.0025339345 0.0024358323 0.0055048694 0.002436947 0.0020646048 0.00299769 0.0035996807 0.0026643658 0.0021370666 0.0042819367 0.0037334564 0.0026822025 0.0021827733 0.0029564425 0.004795858 0.002519442 0.0030734963 0.0026097407 0.0035339077 0.0019999465 0.0026119703 0.0031972388 0.004216164 0.0024971461 0.0021627068 0.002542853 0.0033967877 0.0024547838 0.0027624678 0.008270682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000953125 0.00014453125 1.171875e-05 5.580357e-07 2.1205356e-05 1.171875e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00275 0.00012834821 0.00018861608 3.3482142e-06 1.7299108e-05 4.6316964e-05 1.1160714e-06 1.3950893e-05 2.1205356e-05 0.0 1.8415178e-05 0.0 1.6741071e-06 1.8415178e-05 1.1160714e-06 0.00021875 0.0017477679 0.00010379464 0.00016685268 4.4642857e-06 7.8125e-06 3.4598215e-05 1.1160714e-06 1.5066964e-05 1.5066964e-05 5.580357e-07 1.0044643e-05 0.0 7.8125e-06 8.370535e-06 2.7901785e-06 0.00015959822 0.0049190847 0.0003359375 0.0010022322 5.078125e-05 0.0004045759 0.00031473214 0.00010267857 4.185268e-05 0.00012555804 5.0223214e-05 6.0267856e-05 4.7433037e-05 4.0736606e-05 7.310268e-05 3.9620536e-05 0.00039118304 0.0046941964 0.00034598215 0.00058035715 0.00041015624 0.00029631695 0.00019866071 0.00026953124 0.00022098214 0.00021540179 2.9575893e-05 5.4129465e-05 6.1941966e-05 3.515625e-05 5.859375e-05 4.0178573e-05 0.0004888393 0.0060669645 0.00089620537 0.00026171876 0.000119419645 0.00026450894 0.00028404017 0.00011104911 0.00012723214 0.0002516741 7.0870534e-05 0.00010435268 6.696428e-05 7.700893e-05 0.000140625 3.348214e-05 0.0014095982 0.0042896206 0.0004436384 0.00018080357 0.00020647321 0.00039174108 0.00033482144 0.00019196428 0.0002248884 0.000117745534 0.00010435268 8.0915175e-05 0.000119419645 9.430804e-05 0.00010546875 2.0647321e-05 0.0010931919 0.0018314732 0.00012946429 0.00046986606 0.00034375 0.00016462053 0.00013169643 0.00060714287 0.00035993304 0.000125 5.1339284e-05 2.2879465e-05 5.189732e-05 6.361607e-05 4.799107e-05 3.90625e-05 0.00013169643 0.0015580357 0.00014397322 0.00012723214 0.00010825893 0.00017689732 0.000109375 0.00038392856 0.0002014509 9.3191964e-05 5.5245535e-05 5.189732e-05 6.0825892e-05 7.310268e-05 4.9665177e-05 8.147321e-05 0.00015401786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00045814732 3.9620536e-05 0.0001640625 0.00030245536 0.00013560268 7.979911e-05 0.0004029018 0.00020200893 3.404018e-05 4.3526787e-05 4.6875e-05 6.8638394e-05 3.8504466e-05 8.203125e-05 6.138393e-05 0.00012611607 0.00079464284 0.00020758928 0.00038504464 0.0001467634 0.00014787946 0.00015959822 0.00017857143 0.00016462053 0.00016350446 0.000125 0.00014564733 0.00016629465 0.00014453125 0.00014341518 0.00014787946 0.00020758928 0.09316239 0.07193415 0.06948549 0.06043415 0.06965346 0.05922489 0.056501117 0.05293527 0.06254632 0.053010046 0.04696373 0.049709264 0.05373326 0.04815402 0.049428012 0.048267297 5711.0 6.892313 39362.0 0.07580916 0.011508562 0.011051267 0.007265891 0.010695594 0.011178294 0.0074437275 0.014658808 0.009628576 0.008078857 0.0072150803 0.0073421067 0.011915045 0.009704791 0.011000457 0.010111275 0.014862049 0.011788019 0.012753417 0.011965855 0.012982064 0.00891723 0.009476145 0.011051267 0.012194502 0.010263707 0.008129668 0.008155073 0.009374524 0.006884813 0.0067323814 0.008205884 0.014074489 0.011203699 0.010797216 0.012448555 0.011864235 0.010365327 0.008866419 0.009679386 0.013871246 0.0114577515 0.006478329 0.007621564 0.01140694 0.009476145 0.013337737 0.011483156 0.011762613 0.0066053555 0.009171282 0.010721 0.010517758 0.008053453 0.006935623 0.010187491 0.009984248 0.006173467 0.0070118387 0.007392917 0.008612367 0.0062496825 0.0060210354 0.009349118 0.009831818 0.0131853055 0.007596159 0.008586962 0.012982064 0.013947462 0.0083075045 0.009247498 0.011584777 0.012880443 0.005716173 0.006910218 0.012448555 0.009679386 0.01013668 0.014176109 0.0130074695 0.0055129314 0.012143692 0.011533967 0.01549718 0.011127483 0.0066307606 0.008866419 0.009399929 0.008536152 0.004877801 0.0051826634 0.0070880544 0.0044459123 0.004496723 0.006910218 6.41074 1.0 8.0 1.0 16.0 897024.0 2695168.0 0.0 0.0 14.0 0.0 1.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 757760.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -755712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9222593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.6007388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -757760.0 0.0 0.0 0.0 0.0 0.0 1892352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 852.0 2691184.0 36976.0 2654208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2651800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.050702438 0.008705688 0.0077439304 0.005221988 0.007344979 0.004445458 0.007138379 0.004680554 0.0043813405 0.004530947 0.00557107 0.003996637 0.003312721 0.004238858 0.003490824 0.0033483414 0.0038684031 0.0059059043 0.004459706 0.0047090505 0.004516699 0.0050367606 0.004188989 0.0039325203 0.0033839622 0.0034623276 0.0031916106 0.003148866 0.0032414796 0.003861279 0.0035549414 0.0034195827 0.004894278 0.0035193206 0.0031274934 0.0031132451 0.0037401686 0.0033554656 0.0029992592 0.0027499145 0.004965519 0.0031132451 0.003961017 0.0036689274 0.003106121 0.004808788 0.003540693 0.0036333068 0.0037472928 0.0044953264 0.0030420038 0.0030206314 0.0032058589 0.0032486038 0.0029208937 0.0033554656 0.0031132451 0.0032913485 0.0032272313 0.00315599 0.002771287 0.0032771002 0.0027142938 0.003049128 0.0030705004 0.004203237 0.003640431 0.01790294 0.0051863673 0.003369714 0.0032414796 0.0031132451 0.002771287 0.0035478172 0.0032201072 0.0030989968 0.003091873 0.0035478172 0.00381141 0.0036119344 0.0029992592 0.002942266 0.0046021887 0.0037330445 0.0043314714 0.0031203693 0.0029137696 0.0028995213 0.003269976 0.003269976 0.0030277555 0.0032272313 0.002892397 0.0030562521 0.0028496524 0.0039895135 0.0029992592 0.0050367606 0.0037187964 0.0048301606 0.003975265 0.009239998 0.0046520573 0.0037259203 0.0048159123 0.0062407386 0.0031702383 0.0033340931 0.0041676164 0.0042317337 0.004723299 0.0066111935 0.004075003 0.0031916106 0.0050367606 0.0056850566 0.0062834835 0.004837285 0.0033412173 0.0035620655 0.0031773623 0.0053573465 0.0029992592 0.0048586573 0.0036048102 0.0044240854 0.0037116723 0.0032201072 0.0045879404 0.005179243 0.018622478 0.003654679 0.003654679 0.0032343555 0.0035834378 0.0032414796 0.0033483414 0.00315599 0.002892397 0.003319845 0.003597686 0.0033412173 0.0030348797 0.003490824 0.0030989968 0.0034124586 0.0029636384 0.0031702383 0.003049128 0.0035050723 0.0030989968 0.0035050723 0.0029778867 0.002664425 0.002992135 0.00315599 0.002935142 0.0032771002 0.0030847488 0.0032343555 0.0030063833 0.0033625897 0.0031631142 0.0028639005 0.004402713 0.0030776246 0.0031132451 0.0029137696 0.0030206314 0.004025134 0.0029066454 0.0025860595 0.0043243472 0.0029066454 0.0030847488 0.0032486038 0.0028995213 0.003049128 0.004295851 0.0031132451 0.002664425 0.002942266 0.0031702383 0.0029850109 0.0030420038 0.0027499145 0.003148866 0.0029636384 0.00294939 0.004117748 0.0043813405 0.00294939 0.0031987347 0.002992135 0.003968141 0.0031987347 0.003433831 0.0027427904 0.0030776246 0.002892397 0.0028710247 0.004089251 0.002935142 0.0032058589 0.0041462444 0.004409837 0.0033269692 0.0030420038 0.0038327824 0.0031417417 0.0034195827 0.0031274934 0.0031346176 0.002942266 0.0028069075 0.0027997834 0.0045095747 0.0027499145 0.0029850109 0.002721418 0.0029066454 0.0029280179 0.002614556 0.0038470307 0.003540693 0.0031773623 0.0032058589 0.003376838 0.0031702383 0.0047019264 0.0030063833 0.0031702383 0.0034979482 0.0028069075 0.0033055968 0.003476576 0.0030420038 0.0032201072 0.0029280179 0.003369714 0.002721418 0.00381141 0.0029707626 0.0027427904 0.0030206314 0.0025219424 0.0024863216 0.0032201072 0.002892397 0.0027427904 0.0026929216 0.0026288042 0.0027997834 0.0027641628 0.0030562521 0.005378719 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008824966 0.0006211225 0.0004451976 0.00029081455 0.0005816291 0.0002154182 0.00091911765 0.0006713867 0.0005098231 2.154182e-05 2.154182e-05 2.154182e-05 0.00013643152 1.4361213e-05 8.2576975e-05 0.0013284122 0.041396197 0.008860868 0.006071203 0.0025491153 0.0040642233 0.0018274644 0.0032743567 0.003715964 0.0045309626 0.00057803886 0.0006462546 0.000556497 0.0006175322 0.00079704734 0.0006713867 0.00072524126 0.008368997 0.0013930377 0.0007539637 0.00048828125 0.0010914522 0.0008939855 0.0036046645 0.0022547105 0.00080781826 0.00048110064 0.00038416244 0.0003087661 0.00018669578 0.00017592486 0.0006713867 0.00019387637 0.013951919 0.0024557675 0.0015258789 0.0007826861 0.0040534525 0.0014361213 0.006207634 0.00402114 0.0036082547 0.00090834673 0.00071806065 0.0006462546 0.0006318934 0.000438017 0.0010160558 0.001716165 0.00567986 0.0020033892 0.0013930377 0.0013822668 0.010218003 0.0025024414 0.009201948 0.006265079 0.010627298 0.0031271542 0.002911736 0.0032169118 0.0009693819 0.0007360122 0.005069508 0.0008724437 0.0024808997 0.0010016946 0.00056726794 0.00024773093 0.00016874426 0.0003087661 0.00045955883 0.00024414062 0.0003231273 0.0002046473 0.0002190085 0.00015438304 0.0002118279 0.00029081455 0.0002154182 0.00025491155 0.0028937845 0.0016120462 0.0013607249 0.001787971 0.003288718 0.0016048655 0.0020141602 0.003963695 0.005938362 0.0022798425 0.001515108 0.0010950426 0.0025383444 0.0021398207 0.0019172219 0.0008149989 0.04394172 0.046092313 0.04603846 0.04427921 0.04626465 0.04462388 0.049413346 0.04613181 0.04497932 0.042904124 0.045984603 0.04579073 0.04861989 0.046221565 0.043762207 0.042893354 848.0 9.514151 8068.0 0.010907288 0.0053296974 0.0074367872 0.0040902332 0.0042141797 0.0030986613 0.0032226078 0.00384234 0.0040902332 0.003966287 0.0037183936 0.004709965 0.0030986613 0.0053296974 0.014253843 0.0050818045 0.0069410014 0.0053296974 0.005205751 0.0045860186 0.0033465542 0.0040902332 0.0032226078 0.005453644 0.0045860186 0.005453644 0.004957858 0.0033465542 0.0043381257 0.004462072 0.0048339115 0.0037183936 0.0048339115 0.011031235 0.009172037 0.013014378 0.01883986 0.0069410014 0.004957858 0.008800198 0.0053296974 0.008800198 0.002726822 0.004462072 0.0055775903 0.00979177 0.0055775903 0.005701537 0.0055775903 0.0042141797 0.009667823 0.017352503 0.0071888943 0.0059494297 0.005205751 0.003966287 0.0040902332 0.003966287 0.0021070899 0.0043381257 0.0037183936 0.0023549825 0.0042141797 0.013386217 0.0029747149 0.031730294 0.012146752 0.02243431 0.02169063 0.08068914 0.00805652 0.014377789 0.008552305 0.038919188 0.0053296974 0.0050818045 0.020823004 0.023673773 0.032350026 0.041522063 0.015121467 0.004957858 0.039291028 0.040406544 0.05875062 0.020203272 0.009295984 0.0081804665 0.007064948 0.017724343 0.005205751 0.004709965 0.004709965 0.0035944472 0.0037183936 0.0035944472 5.938809 0.0 0.0 0.0 1.0 140368.0 163840.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1363638100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 24576.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 115712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3958626 0.0 7.9163613 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 -24340.0 0.0 115300.0 0.0 0.0 0.0 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 83.0 32440.0 115300.0 32768.0 0.0 0.0 0.0 0.0 12.0 155648.0 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