Input: 0.1214422 0.01041622 0.0070530954 0.008062212 0.007306714 0.005981468 0.0033452641 0.0037864174 0.012093318 0.0022039807 0.002018232 0.0016431623 0.006490491 0.0033059712 0.0015485019 0.008583737 0.0075656907 0.0016181576 0.0013038135 0.0018342693 0.0057725008 0.0023593667 0.0012198694 0.0011912927 0.0038239243 0.0017556832 0.0011823624 0.0012162973 0.0032166687 0.0011912927 0.0010662695 0.0013663252 0.0044776173 0.001009116 0.0015234972 0.0011377113 0.019046394 0.0024254504 0.001010902 0.001087702 0.0021932644 0.0013681112 0.0010198322 0.005165245 0.0017235344 0.0011698601 0.0010805578 0.00094303227 0.003879292 0.002255776 0.0021968365 0.0062654493 0.0027933759 0.00474731 0.0022647064 0.0023057854 0.0032470315 0.0031755897 0.0024254504 0.004934845 0.0026862132 0.0023754411 0.0021111064 0.002173618 0.0043293755 0.0023039994 0.001787832 0.0019021389 0.010346564 0.020509167 0.003109506 0.013288182 0.0028290967 0.0014484833 0.0014627717 0.0012127252 0.004316873 0.007076314 0.0015806507 0.0012895252 0.0065833656 0.0032202408 0.0013466787 0.003061283 0.0026951435 0.0044418965 0.0034059896 0.003032706 0.0023343621 0.0044347523 0.0014324089 0.0017681855 0.0036810408 0.0049134125 0.002259348 0.0019450041 0.0020843158 0.0016574507 0.0010519811 0.0015234972 0.0039846688 0.0036685385 0.002520111 0.0011948647 0.006092203 0.005163459 0.005513524 0.0024325945 0.0022968552 0.0012877391 0.0016967437 0.0018824924 0.002414734 0.0009787532 0.0025986969 0.0021664738 0.008326546 0.008272965 0.0016735251 0.0016913855 0.0023879434 0.0013556089 0.0010323345 0.0010626974 0.0020825297 0.002607627 0.001711032 0.0015002786 0.0031220084 0.0017914041 0.0011895066 0.009771458 0.0036399616 0.012609485 0.0012627345 0.0011073485 0.0024951063 0.0121040335 0.0015288554 0.02978946 0.0017396088 0.011053839 0.001128781 0.0011877206 0.002139683 0.0010162601 0.0010823439 0.0013431066 0.0013949019 0.0017717576 0.00093052996 0.001130567 0.001825339 0.0011877206 0.0011144927 0.0010037578 0.0014877763 0.002371869 0.0009841113 0.0013841856 0.0022307714 0.0022004086 0.0013413206 0.0016967437 0.0015449298 0.0018360553 0.00096446485 0.0010359067 0.0018485576 0.0010144741 0.0009555346 0.0011180647 0.0016967437 0.0010216183 0.0009733951 0.0033756269 0.002025376 0.0010966322 0.0010269764 0.001126995 0.0018967808 0.0022700645 0.002171832 0.0017789018 0.0030737852 0.0013716833 0.0011162787 0.0011323532 0.0014395531 0.0017735437 0.001282381 0.0011323532 0.00729957 0.005863589 0.0034434965 0.0034774316 0.0030469943 0.0011073485 0.0035006502 0.005620687 0.0053384914 0.0030577108 0.0019753668 0.0012984554 0.0032398873 0.0011930787 0.0014163344 0.0012984554 0.003109506 0.0016913855 0.0017217483 0.0014056182 0.0026683528 0.0012770229 0.0016878134 0.0013181019 0.002911255 0.0020093017 0.0011234229 0.0016038693 0.015067084 0.012836313 0.0040614684 0.0017056739 0.004198994 0.0018574878 0.0012109391 0.0010662695 0.0031291526 0.00147706 0.001089488 0.0010734136 0.01365075 0.004822324 0.0012270135 0.0038346406 0.0056974865 0.001089488 0.0012127252 0.0015770786 0.004658008 0.0014574135 0.0015413577 0.0014609856 0.0031916641 0.0021968365 0.0027683713 0.0021182506 0.005904668 0.001823553 0.0020110877 0.0034309942 0.008176519 0.004027534 0.008242602 0.06769293 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.009537163 0.00039510464 0.0004891772 0.00031805475 0.0015087443 0.00046588303 0.0013501649 0.00078125 0.00041571102 0.00033866114 0.0004560278 0.0007570599 0.00063790136 0.0004775301 0.000731078 0.001523975 0.011739356 0.0014908257 0.0015544366 0.01860038 0.0025112887 0.0018913059 0.0025471258 0.0021591887 0.00209289 0.0016081923 0.0017622921 0.001903849 0.0019647721 0.001978211 0.0020059848 0.0047403597 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058385894 0.01534099 0.021608014 0.010408006 0.03268528 0.020392237 0.013022327 0.013565259 0.03746506 0.0032567016 0.0057294653 0.00498674 0.019474806 0.02055888 0.01653168 0.031359304 0.01387973 0.010721581 0.0106624495 0.010525373 0.010959898 0.010491327 0.010628404 0.010325581 0.011292288 0.010916893 0.010724269 0.010804903 0.010433092 0.010520893 0.010631988 0.010793256 2012.0 10.382704 20890.0 0.020775491 0.0038295835 0.0054571563 0.003733844 0.013212063 0.003685974 0.004164672 0.006510292 0.006223073 0.0033508856 0.0045955004 0.0054571563 0.0068453806 0.0045476304 0.0059837243 0.004882719 0.024269985 0.017807564 0.017041646 0.01862135 0.019626616 0.019291528 0.016562948 0.018094782 0.019818095 0.018956438 0.018238392 0.01890857 0.017903304 0.015653422 0.015509813 0.014408808 0.007659167 0.008185735 0.0049784584 0.00928674 0.010627095 0.0063188127 0.0070368596 0.0078027765 0.008377214 0.0056965053 0.0035902346 0.0041168025 0.008137865 0.0057922453 0.0044997605 0.00698899 0.013403542 0.0070847296 0.0059358543 0.011536621 0.009717568 0.0057922453 0.007850646 0.009573959 0.005600766 0.005122068 0.004882719 0.0044997605 0.00698899 0.0043561514 0.0040210625 0.007371948 0.007659167 0.017280996 0.008425084 0.016706558 0.016036382 0.035806607 0.007994256 0.008520823 0.011345142 0.017807564 0.008137865 0.0059358543 0.018046912 0.00938248 0.017376736 0.022163715 0.00943035 0.0035902346 0.02336046 0.017807564 0.031977024 0.0117759695 0.0055050263 0.006223073 0.00938248 0.0078027765 0.00464337 0.003925323 0.006510292 0.0035902346 0.0033987553 0.005648636 6.322178 0.0 9.0 0.0 6.0 559896.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553912.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.09145891 0.0028596055 0.002458763 0.002479722 0.0023985056 0.007242675 0.0026015467 0.0026709738 0.002504611 0.0024980614 0.002435184 0.0025006812 0.0024469735 0.002456143 0.002461383 0.0029748806 0.0026526346 0.0026762136 0.0027508803 0.004011045 0.0037189282 0.0034163313 0.0031988807 0.002618576 0.0024456636 0.002411605 0.0024626928 0.0024404237 0.0024902017 0.0026002368 0.0041970573 0.0041931276 0.0025059208 0.002342178 0.003928519 0.0024928215 0.0025137805 0.002393266 0.0022675113 0.00252557 0.0024967513 0.002458763 0.007261014 0.0027417107 0.0022727512 0.002390646 0.002322529 0.0026264356 0.002321219 0.0023133594 0.0022819208 0.0024207747 0.0023369384 0.0024299442 0.0023146693 0.002437804 0.0023723068 0.0024299442 0.002575348 0.0024194648 0.002412915 0.002896284 0.0024653126 0.0024954414 0.002390646 0.0023238389 0.0023343184 0.0024037454 0.0023251488 0.0025006812 0.0024102952 0.0024980614 0.0024312541 0.0024967513 0.0023356283 0.0023840962 0.0023998155 0.002479722 0.0025360496 0.0025832076 0.0024757923 0.0024482834 0.0024679326 0.0025884474 0.0024509034 0.0025412894 0.0072950725 0.0029028337 0.002251792 0.0023513476 0.0023762365 0.0024888916 0.0023775466 0.0025818977 0.0027679096 0.002593687 0.0025177104 0.0023068096 0.002343488 0.0023854063 0.0023369384 0.0025294998 0.00367439 0.0024705525 0.0025177104 0.0025452191 0.0024849619 0.0024771022 0.0024260145 0.002482342 0.00252819 0.0027508803 0.0023552775 0.002482342 0.0025216402 0.0024338742 0.0025687981 0.0029028337 0.0024233945 0.0025622484 0.0024993713 0.002507231 0.002689313 0.0030836058 0.002388026 0.0025556989 0.0025190203 0.0025714182 0.0027286112 0.0023081196 0.0023683768 0.0023736167 0.0023552775 0.0024024355 0.0023683768 0.0024692426 0.0023618273 0.0024011256 0.0024076751 0.0024941314 0.0024024355 0.0024194648 0.002504611 0.002639535 0.002457453 0.0024482834 0.0024862718 0.0024993713 0.0023500377 0.002598927 0.0023578973 0.0029316524 0.013006424 0.0074064177 0.0023736167 0.0024194648 0.0023578973 0.0026133363 0.0027665996 0.0026015467 0.0023552775 0.0023474179 0.0023290787 0.0024626928 0.002435184 0.0026369153 0.002503301 0.0026002368 0.0025622484 0.0025452191 0.0026277457 0.0025648684 0.0024666227 0.0024679326 0.0025871375 0.0027914885 0.0023343184 0.0023146693 0.0025779677 0.0024626928 0.002432564 0.0024391138 0.0024744824 0.0025583187 0.15761365 0.0025543887 0.0027259914 0.002481032 0.0024482834 0.0028989038 0.002640845 0.0025674882 0.0024509034 0.0023395582 0.0023526577 0.002346108 0.0022963302 0.0024391138 0.0023565874 0.00253081 0.0023631372 0.0023762365 0.0025242602 0.0024391138 0.0025347397 0.0024194648 0.0024718624 0.0027220615 0.0023801664 0.0025177104 0.002412915 0.00252557 0.0026002368 0.0027246815 0.002437804 0.0027679096 0.002501991 0.0024535232 0.002503301 0.0024247044 0.0024509034 0.002643465 0.0027679096 0.0027993482 0.0024679326 0.0022871604 0.0022701311 0.0024220846 0.0024233945 0.0025203303 0.002408985 0.0025923771 0.0025124706 0.0026290556 0.0029211729 0.002849126 0.00275481 0.0026277457 0.002733851 0.0028543659 0.0026107163 0.0026133363 0.0026094064 0.0024168447 0.0024862718 0.002801968 0.0028360265 0.0029342724 0.0024666227 0.0026225059 0.0025452191 0.002481032 0.0024404237 0.002570108 0.002593687 0.07650198 0.001344086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013086463 5.250336e-06 3.937752e-06 6.56292e-07 5.250336e-06 6.56292e-07 3.28146e-06 6.56292e-07 5.250336e-06 1.968876e-06 3.937752e-06 6.56292e-07 3.28146e-06 0.0 0.0 6.56292e-07 0.0047528665 0.00012207031 6.1035156e-05 6.56292e-07 1.312584e-06 0.0 5.8409987e-05 3.3470893e-05 1.7063592e-05 6.56292e-07 0.0 0.0 1.312584e-06 6.56292e-07 1.312584e-06 0.00032552084 0.0033031176 6.234774e-05 4.003381e-05 2.625168e-06 2.625168e-06 2.625168e-06 3.4127184e-05 2.6907972e-05 5.184707e-05 8.531796e-06 1.1156964e-05 5.906628e-06 2.4282805e-05 6.56292e-06 1.1156964e-05 0.00043840305 0.0059978524 0.0004836872 9.516234e-05 5.906628e-06 0.0 5.250336e-06 5.9722573e-05 7.219212e-06 1.3782132e-05 9.188088e-06 5.250336e-06 3.937752e-06 3.8721228e-05 3.937752e-06 7.219212e-06 0.0013276787 0.021817772 0.0019944713 0.00033142747 5.1190775e-05 1.968876e-05 2.3626511e-05 0.00029401883 0.00010238155 0.00013322728 0.00022313929 0.00014569683 7.4161e-05 0.00013257099 6.6941786e-05 0.00011091335 0.00942501 0.021937216 0.0039725355 0.0006320092 6.300403e-05 2.2313929e-05 3.3470893e-05 0.00032552084 5.7097404e-05 0.00012600806 0.0012174216 0.00015685378 3.8721228e-05 0.000106319305 4.003381e-05 8.072392e-05 0.015545589 0.010839319 0.0009188088 0.00055325415 8.138021e-05 2.1001344e-05 0.00019623131 0.0004259335 2.953314e-05 0.000118788856 0.0021539503 0.00024020288 5.578482e-05 0.000118788856 5.4472235e-05 0.00012141402 0.010952857 0.013439547 0.00059460057 0.0037133002 9.319346e-05 7.875504e-05 0.0034875358 0.0004436534 9.647493e-05 0.00017129221 0.008007418 0.00021788894 0.00017457367 0.00015357233 0.000164073 0.00014569683 0.02412595 0.0066134543 0.0005014071 0.0017201414 6.497291e-05 6.1035156e-05 0.0015554121 0.00029204995 7.547358e-05 0.00011944515 0.0040886994 0.00014700941 0.0001561975 0.00013716503 0.00016866704 0.00016538559 0.011015205 0.0012843634 0.00017719885 0.00025792274 4.3971566e-05 5.0534483e-05 0.00017522996 0.00012863323 4.331527e-05 6.56292e-05 0.00034849104 7.219212e-05 6.497291e-05 4.856561e-05 4.856561e-05 5.7753696e-05 0.0011649183 0.00107435 0.00027433006 0.0003543977 5.4472235e-05 2.0345053e-05 0.0002060757 0.0002132949 7.481729e-05 3.4127184e-05 0.00040493216 1.9032468e-05 1.9032468e-05 2.4282805e-05 1.1156964e-05 2.1657635e-05 0.0012259535 0.0005650674 4.1346397e-05 4.528415e-05 4.659673e-05 4.9878192e-05 3.937752e-05 7.4161e-05 5.3815944e-05 2.8220556e-05 3.937752e-05 3.5439767e-05 0.00016276042 3.8064936e-05 3.8721228e-05 3.8064936e-05 4.7909318e-05 0.00041543285 6.1035156e-05 7.4161e-05 7.0879534e-05 0.000106975596 8.20365e-05 9.188088e-05 8.006762e-05 0.00015488491 2.625168e-06 5.250336e-06 1.312584e-05 5.4472235e-05 2.297022e-05 4.528415e-05 6.300403e-05 0.03437526 0.035089307 0.033705845 0.03453999 0.034381825 0.035328854 0.034379855 0.036387455 0.033953924 0.0354378 0.03537611 0.17679851 0.034278788 0.03643274 0.036487866 0.036002867 0.0041097007 0.0040598223 0.0039653163 0.0038071498 0.0040670414 0.003899687 0.0038964057 0.004002725 0.0040847613 0.0038347142 0.0039233137 0.018343361 0.003879342 0.0039344705 0.0040571974 0.004091981 73.0 12.041096 879.0 0.055745166 0.0022753128 0.005688282 0.0022753128 0.0045506256 0.0 0.0045506256 0.01934016 0.0045506256 0.0011376564 0.0045506256 0.005688282 0.026166098 0.0068259384 0.013651877 0.012514221 0.012514221 0.009101251 0.0045506256 0.009101251 0.0 0.0034129692 0.0011376564 0.0034129692 0.0045506256 0.0011376564 0.007963595 0.0011376564 0.01934016 0.009101251 0.012514221 0.014789534 0.007963595 0.009101251 0.0 0.0034129692 0.005688282 0.005688282 0.010238908 0.0068259384 0.009101251 0.007963595 0.0 0.0022753128 0.0068259384 0.0034129692 0.0045506256 0.0022753128 0.009101251 0.0 0.0068259384 0.005688282 0.005688282 0.005688282 0.012514221 0.011376564 0.0011376564 0.0011376564 0.0034129692 0.0011376564 0.0022753128 0.0011376564 0.0034129692 0.0022753128 0.005688282 0.034129694 0.0045506256 0.026166098 0.01934016 0.08418658 0.010238908 0.007963595 0.007963595 0.029579068 0.0034129692 0.0034129692 0.037542664 0.021615472 0.02844141 0.034129694 0.0068259384 0.0045506256 0.043230943 0.048919227 0.03526735 0.020477816 0.013651877 0.0 0.009101251 0.009101251 0.0034129692 0.0 0.0022753128 0.0011376564 0.0011376564 0.0011376564 5.731294 0.0 0.0 0.0 7.0 763392.0 782336.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1527227600.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 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 0.0 512.0 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 -594432.0 0.0 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1080956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8058968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.101324 0.0 2.954115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -594283.0 0.0 166448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 602188.0 166448.0 610304.0 0.0 0.0 0.0 0.0 56.0 778240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 602112.0 0.0 0.0 0.0 0.0


Input: 0.35759783 0.01262804 0.0067671863 0.0028550222 0.0056449897 0.0016929054 0.0052029123 0.002163075 0.0022621357 0.001620458 0.008792759 0.0014873912 0.0015036549 0.0013972014 0.0028269303 0.001771267 0.001691427 0.005628726 0.0028136238 0.0034671295 0.0014666918 0.0016012372 0.002578539 0.0017402181 0.0012596991 0.0011887301 0.0015746239 0.002325712 0.0012316072 0.001432686 0.0015169616 0.0022236942 0.003647509 0.0021482897 0.002030008 0.0032764005 0.0035203563 0.0051082866 0.002874243 0.0034612154 0.00624379 0.0025193982 0.0038618944 0.003533663 0.003897379 0.0031862108 0.004691344 0.0035587978 0.0032083886 0.0019205975 0.0016470713 0.0015716668 0.001586452 0.0017668315 0.0014252934 0.001509569 0.0014696489 0.0017047336 0.0017150833 0.0016160224 0.0014799986 0.0014829556 0.0012715273 0.0015938446 0.0021083697 0.0030339232 0.0022990988 0.0030797573 0.0029097274 0.0028816357 0.00246765 0.0022695283 0.0023641535 0.0027515257 0.0025031345 0.0022547431 0.0023745033 0.0028358016 0.0029274698 0.002458779 0.0029259913 0.0024380796 0.002763354 0.002886071 0.0027485688 0.0021542038 0.0025090484 0.0021704675 0.0026480295 0.002828409 0.002200038 0.0024824352 0.0022562216 0.002061057 0.0020787993 0.0025267908 0.0020344437 0.004784491 0.0024617359 0.003477479 0.0029259913 0.006650383 0.0022783994 0.002649508 0.0025016558 0.0041738623 0.0019412969 0.0025031345 0.0035321845 0.0031625545 0.0046248105 0.009314677 0.0049988762 0.0015672313 0.0061195944 0.004431125 0.0055873273 0.0022990988 0.0015953231 0.0015199187 0.0015228756 0.0019546035 0.0016810773 0.0031093278 0.0015894091 0.0018895486 0.0024927848 0.0016322861 0.0026642932 0.0017816167 0.0012005583 0.0011517671 0.0010970619 0.0010201789 0.0015080904 0.00089006906 0.0009876514 0.0010408781 0.0010482707 0.0011207182 0.0010512278 0.0010453137 0.0010246144 0.0009373817 0.0011207182 0.0013203184 0.001432686 0.0013602384 0.0012670917 0.0011340249 0.0011014974 0.0011887301 0.0012330858 0.0013824162 0.0017357826 0.0011976012 0.0013424963 0.0012744843 0.0013765022 0.0012109079 0.0013883304 0.001552446 0.0015480105 0.0013838948 0.0015243542 0.0014119867 0.001472606 0.0015243542 0.0016544639 0.0015598387 0.0014459926 0.0014134651 0.0014031156 0.0013203184 0.0015997587 0.0015731454 0.0016115869 0.0015982802 0.0014415571 0.0015021764 0.0013809378 0.0017017766 0.001361717 0.0014829556 0.0013572815 0.0012730057 0.0012552636 0.0015036549 0.0013765022 0.0012759628 0.0012996191 0.0012227361 0.0017609174 0.0012922265 0.001731347 0.0013543244 0.0012064724 0.0012183005 0.0013469318 0.0013144043 0.0013631955 0.00139868 0.001472606 0.001629329 0.0012937051 0.0014134651 0.0016426358 0.0016337647 0.001543575 0.001324754 0.0014489497 0.0020773206 0.0014193793 0.0022724853 0.0016175009 0.0014519067 0.0013794592 0.0013484103 0.0013498889 0.0013838948 0.0012700488 0.001361717 0.001361717 0.0012256932 0.0013114472 0.0013099688 0.0010142648 0.0007643949 0.00088267645 0.0008191001 0.000921118 0.00071412517 0.0006313281 0.00090485427 0.0005973221 0.0005825369 0.00059436506 0.0006194999 0.0008531061 0.00055148796 0.0008782409 0.0006194999 0.0005781013 0.00079248677 0.0006135858 0.00057218724 0.0007229963 0.00074813113 0.00097582326 0.0016455929 0.0018023159 0.002476521 0.0039018143 0.018076386 0.00780215 0.092456296 0.0029837764 9.632256e-06 3.7047135e-05 0.0 0.0 7.409427e-07 1.4818854e-06 7.409427e-07 7.409427e-07 0.0 0.0 0.0 0.0 7.409427e-07 0.0 0.0 0.0057763895 3.2601478e-05 7.7798984e-05 1.4077912e-05 2.1487338e-05 5.7052588e-05 1.5559797e-05 2.6673937e-05 3.2601478e-05 4.4456565e-06 1.4818854e-06 1.4818854e-06 1.4818854e-06 7.409427e-07 3.7047137e-06 2.2228282e-06 0.004233006 2.741488e-05 2.1487338e-05 1.3336969e-05 3.2601478e-05 1.4077912e-05 2.0746396e-05 5.2606934e-05 8.891313e-06 7.4094273e-06 3.9269962e-05 2.445111e-05 2.0005453e-05 1.1855083e-05 4.4456565e-06 2.0746396e-05 0.010368752 0.00011484612 9.928632e-05 4.4456563e-05 5.3347874e-05 5.186599e-05 9.039501e-05 0.00015115232 4.667939e-05 9.632256e-06 3.482431e-05 2.6673937e-05 3.9269962e-05 1.7782626e-05 2.0005453e-05 0.000970635 0.012498963 0.00015930268 3.482431e-05 0.00012225554 2.6673937e-05 1.4077912e-05 1.7782626e-05 0.00016893494 0.00012596026 1.4077912e-05 3.334242e-05 2.8155824e-05 0.00018671756 2.8155824e-05 8.520841e-05 0.0031475245 0.010867407 0.00042900583 0.00026229373 0.00021709621 0.00014670666 0.000120773664 0.00010521387 0.0001526342 9.18769e-05 3.334242e-05 7.7798984e-05 8.446747e-05 0.00013040591 7.7058045e-05 6.223919e-05 0.00079873623 0.021364342 0.0009921223 0.0005934951 0.00044827035 0.000555707 0.00040085 0.00047420335 0.0003437974 0.00024154733 9.409973e-05 0.0001733806 0.00014818854 0.00031119594 0.0001718987 0.00016967588 0.0023487883 0.02471859 0.0017641846 0.0017501067 0.0010158324 0.0024339969 0.0016404472 0.0110474555 0.0070211734 0.00032008725 0.00015411609 0.00030749122 0.00020450019 0.00036158005 0.00041715076 9.780444e-05 0.0013737078 0.032234713 0.0027592706 0.0027866855 0.0014922586 0.0018708804 0.0014700304 0.004996177 0.004422687 0.0005238465 0.00025192052 0.00044827035 0.00029563616 0.00041196414 0.00046383013 0.00028674482 0.0014307604 0.0763949 0.005299963 0.008391917 0.004229301 0.0107688615 0.011091912 0.012885734 0.007919936 0.0015930268 0.0007402018 0.0007009318 0.00081281416 0.0009432201 0.0013085048 0.0010173144 0.012198881 0.07022655 0.0075339056 0.008167411 0.0039684894 0.008877976 0.009532228 0.00955742 0.006246147 0.0022057865 0.0016071048 0.0013892676 0.0015752442 0.0016152551 0.0020820491 0.0012225555 0.014420227 0.05921985 0.0071767713 0.008712005 0.0046108863 0.0065654935 0.0047316602 0.0046123685 0.0044167596 0.0030971405 0.003906991 0.002948211 0.0033942587 0.0034765033 0.004483444 0.0024102866 0.01887774 0.040409535 0.0027392653 0.009524078 0.003726201 0.004257457 0.004048511 0.0045197504 0.0037291646 0.00394552 0.0051665935 0.004823537 0.004799827 0.0042248555 0.004086299 0.0020820491 0.028418116 0.04100525 0.0026422017 0.014793662 0.0049643163 0.0040551797 0.0045856945 0.008415627 0.007330146 0.0053896173 0.0069396696 0.010985957 0.009299572 0.009497404 0.008745347 0.0037276829 0.048821457 0.00031341877 3.482431e-05 0.00010373198 4.8161277e-05 4.2974676e-05 5.2606934e-05 7.1130504e-05 6.149824e-05 5.482976e-05 6.964862e-05 7.483522e-05 6.4462016e-05 7.261238e-05 7.038956e-05 3.2601478e-05 0.00034972496 0.0028652255 0.0020783443 0.0022087502 0.0020501886 0.0018819945 0.0019427518 0.0021405835 0.0019183006 0.0019294148 0.0017234328 0.0017901176 0.0019286739 0.0018271648 0.0019242283 0.0018723622 0.001784931 1487.0 17.082716 25402.0 0.005550744 0.0011416423 0.0028344225 0.0017715141 0.0020077159 0.0017321471 0.0014172113 0.0009841744 0.0013384772 0.0006692386 0.0003543028 0.0007873396 0.005590111 0.0007479726 0.016573498 0.017793875 0.008660736 0.0030312573 0.0030706243 0.0019683489 0.0030312573 0.0014565783 0.0007873396 0.0027556885 0.0006692386 0.0014172113 0.0039366977 0.0020077159 0.0014172113 0.0024801197 0.0015353122 0.00043303677 0.0007086056 0.008463901 0.0047634044 0.017439572 0.012597433 0.0062199826 0.007755295 0.004448469 0.0016534132 0.010196048 0.0003936698 0.0016140462 0.0049602394 0.007715928 0.010707818 0.0034249271 0.00873947 0.0011416423 0.0070073223 0.011101488 0.012046295 0.0022832847 0.004291001 0.0012203763 0.0012991104 0.00043303677 0.0015353122 0.0007479726 0.0007086056 0.00043303677 0.00027556886 0.015668057 0.0011416423 0.055468075 0.008896938 0.036571924 0.024131957 0.099362254 0.008778837 0.019211086 0.01094402 0.0459019 0.0010235414 0.0059444136 0.033028897 0.025746005 0.054247696 0.058538698 0.015549957 0.0013384772 0.044012282 0.044327218 0.08739469 0.020628298 0.0031887253 0.002243918 0.0048027714 0.010668451 0.0026375875 0.0003936698 0.00023620187 0.0005905047 0.0007479726 0.0003543028 5.282364 0.0 77.0 0.0 2.0 676352.0 704512.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1512731400.0 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 48.0 0.0 4.0 0.0 4.0 0.0 510976.0 512.0 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 -510976.0 0.0 164352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.668858 0.0 5.071463 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 -510652.0 0.0 163980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 518756.0 163980.0 524288.0 0.0 0.0 0.0 0.0 12.0 696320.0 28.0 518444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.45570746 0.0074399593 0.003257017 0.003741681 0.007562934 0.002750651 0.0022099249 0.0021936488 0.0077329283 0.0014413339 0.0015606915 0.0013780382 0.0050727 0.0016746238 0.0011176215 0.0051341867 0.0048611113 0.0015679253 0.0011284723 0.00091507524 0.0028537326 0.0025553384 0.0010181569 0.00079752604 0.0020164207 0.0011953849 0.0008879485 0.0009801794 0.00166739 0.0009259259 0.000853588 0.0010290075 0.004036458 0.00082646124 0.0012008102 0.000906033 0.0044994215 0.0009548611 0.00078125 0.00080114295 0.0014558015 0.0007071036 0.0008590133 0.0015480324 0.0010724103 0.0008065683 0.0011176215 0.00068721065 0.0016854745 0.0010199653 0.00086082175 0.0041377316 0.0011845342 0.0008463542 0.00083550345 0.0006456163 0.0014359086 0.0020797164 0.00086805556 0.0033148872 0.0012839988 0.001312934 0.00082646124 0.001175492 0.0054144966 0.0040129484 0.0016203703 0.008443649 0.0076967594 0.007313368 0.003076172 0.0023184316 0.0019820603 0.0020471644 0.0008119936 0.00076859083 0.00166739 0.0044795284 0.0025336372 0.0009693287 0.0068268953 0.002662037 0.0017614294 0.0034722222 0.0015842014 0.002379919 0.004602503 0.0032244646 0.0020326967 0.0027072483 0.0006510417 0.0017198351 0.001066985 0.0021683304 0.0028772424 0.0020598236 0.0012749566 0.002340133 0.0014142072 0.001792173 0.0026041667 0.004352937 0.0021610965 0.0009295428 0.0024558739 0.0020218461 0.0035662616 0.0009476273 0.0022044994 0.0010651766 0.0020236545 0.0023781105 0.0021882234 0.00076316553 0.0024992765 0.0021393953 0.01006221 0.0094401045 0.0017777054 0.0014485677 0.0014178241 0.001171875 0.00067636 0.00065827544 0.0014449508 0.002895327 0.0016384549 0.001208044 0.002412471 0.0016203703 0.0007957176 0.008973524 0.0020507812 0.005987775 0.0007432726 0.00071976276 0.0016384549 0.0077058016 0.0011176215 0.01971752 0.0010362413 0.0056351274 0.000656467 0.0006854022 0.0013635706 0.00049189816 0.00065285014 0.0010054976 0.0012912326 0.00089699076 0.0006600839 0.00056423614 0.0009476273 0.0007052951 0.0007740162 0.0005913628 0.0007595486 0.0005714699 0.0005859375 0.00082284433 0.0009259259 0.0010326244 0.00054796005 0.00077944156 0.00087167247 0.0012948496 0.00058412907 0.00061487267 0.00090784143 0.0007071036 0.00083007815 0.00064380787 0.0009512442 0.0007559317 0.00056966144 0.0005407263 0.00088975695 0.0005895544 0.0005588108 0.0006962529 0.00092411746 0.00074688945 0.0015643084 0.0010597511 0.0023093894 0.00076859083 0.0006004051 0.000656467 0.0009765625 0.0006854022 0.0010054976 0.00080114295 0.005987775 0.0020688658 0.0028085215 0.0035662616 0.002074291 0.000745081 0.002077908 0.0026349104 0.0016818576 0.002202691 0.0009837963 0.00086805556 0.003915292 0.0007306134 0.00166739 0.0010163484 0.0015136718 0.0009385851 0.0012496383 0.00093677663 0.0010235822 0.0006221065 0.0008499711 0.00094943575 0.0014612268 0.000853588 0.00072880497 0.0013816551 0.0011845342 0.0006456163 0.00065285014 0.0007595486 0.0017704717 0.00076859083 0.0007269965 0.00067997683 0.001756004 0.00075050635 0.0007559317 0.00077220774 0.010747612 0.0027307582 0.00065285014 0.0035391347 0.0032063802 0.0005967882 0.00070891203 0.00071252894 0.0030906394 0.0015643084 0.001099537 0.00094039354 0.0018265336 0.0006076389 0.0024631077 0.0014612268 0.0032081886 0.0011140046 0.000817419 0.0010398582 0.0038953994 0.0016167535 0.003088831 0.03602069 0.3413729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005145524 4.1671497e-05 2.3553455e-05 2.989477e-05 2.536526e-05 2.4459358e-05 1.4494434e-05 3.8953793e-05 8.4248895e-05 2.0835749e-05 1.8118042e-05 1.9929847e-05 1.9023944e-05 2.536526e-05 1.721214e-05 1.721214e-05 0.0032630595 4.3483302e-05 3.1706575e-05 1.6306238e-05 0.0028073906 0.0009457618 5.978954e-05 4.0765597e-05 6.975447e-05 1.8118042e-05 2.0835749e-05 2.2647553e-05 3.351838e-05 1.9929847e-05 1.6306238e-05 1.1776728e-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 0.0039642276 4.3483302e-05 1.721214e-05 2.8988869e-05 0.00078541716 0.00026452343 2.989477e-05 3.080067e-05 2.989477e-05 1.9023944e-05 2.989477e-05 5.2542324e-05 5.435413e-05 4.25774e-05 7.7001685e-05 9.602563e-05 0.011927107 0.000388632 0.00039678512 0.00014856795 0.0025011958 0.0005100229 0.00024368767 0.00017665092 5.978954e-05 0.00030710083 6.703676e-05 5.435413e-05 4.4389206e-05 8.60607e-05 0.00010055514 0.0015409396 0.023861462 0.000471975 0.0014177369 0.0006468141 0.0018906178 0.00019929848 0.0026624463 0.0013325821 0.00039769104 0.00026180572 9.511972e-05 0.00016759189 0.00052904687 0.00029623 0.000388632 0.004341989 0.005903764 0.0001268263 0.0001313558 0.0002092634 0.0008959372 0.0001277322 0.00015762697 8.51548e-05 0.00015400337 8.3342995e-05 7.518988e-05 0.00014132074 0.00028354736 0.00015581517 0.00011052006 0.0006350374 0.012076581 0.00050277566 0.00079628796 0.00037504348 0.0028490622 0.0011251305 0.004473345 0.0023798048 0.00051908195 0.00023462865 0.00028082967 0.00027358244 0.0006613086 0.00016487419 0.00028354736 0.00083343 0.0053747175 0.00016306239 0.0008008175 0.00035964313 0.0018869941 0.000675803 0.0035991492 0.0019938906 0.00028082967 0.00022013421 0.00017665092 0.000111425965 0.0005063993 0.000115955474 8.2437095e-05 0.00034967822 0.007332372 0.0004212445 0.0010191399 0.0006785207 0.003043831 0.0010725881 0.0029188166 0.0015880464 0.00024912308 0.00046472778 0.00021741651 0.00021832241 0.00023100505 0.00028354736 0.00022738143 0.00044208023 0.0075479764 0.0006540613 0.0008950313 0.00085607753 0.0024595242 0.0011187891 0.0009928688 0.0007319689 0.0013153699 0.0005390118 0.00044117434 0.00040312644 0.0007654873 0.0004221504 0.0006748971 0.0005906482 0.025697725 0.004883718 0.0032485651 0.0034840996 0.009098881 0.008241897 0.0033255666 0.008112353 0.017040925 0.0014476316 0.0016188471 0.0026859997 0.0083297705 0.002232143 0.007102273 0.015898582 0.049599953 0.011364542 0.007302477 0.010371674 0.020752406 0.021491623 0.008813522 0.018648902 0.035077438 0.0027466952 0.0031896813 0.0043727895 0.017348025 0.0056048166 0.015548904 0.033072677 0.006218112 0.0061800643 0.006201806 0.0063476562 0.0062443833 0.0060668266 0.0062507247 0.0063295383 0.0063259145 0.0063349735 0.006340409 0.0063241026 0.0062652193 0.0063177613 0.0062996433 0.0061383927 1487.0 14.571621 21668.0 0.017306628 0.00087686913 0.0013845302 0.0010614732 0.0034151745 0.0022152483 0.0024460033 0.0029998154 0.0021690973 0.0010614732 0.0010614732 0.0016152852 0.0018460402 0.0022152483 0.008814842 0.0011076241 0.007245708 0.0043381946 0.0042920434 0.0035074765 0.0024460033 0.0017537383 0.0027690604 0.0013383792 0.0038305335 0.0042458926 0.0023998523 0.0023537013 0.0021229463 0.0023075503 0.0011076241 0.007245708 0.017952742 0.04033598 0.0032305703 0.018737309 0.05551966 0.0121838655 0.007661067 0.029213587 0.0052150637 0.029952003 0.0011999261 0.0015691342 0.006968802 0.006507292 0.027182942 0.006507292 0.0343825 0.0032305703 0.006507292 0.02842902 0.007014953 0.0056765736 0.022567842 0.014814473 0.024413882 0.0027229094 0.0012460771 0.0016614362 0.005261215 0.0018921912 0.0031382684 0.008030275 0.0029998154 0.025198448 0.005907329 0.020767953 0.01421451 0.060365517 0.005538121 0.008122577 0.0063688387 0.029213587 0.0042458926 0.0032305703 0.027136791 0.010014769 0.02755215 0.03618239 0.012045412 0.0014768322 0.03253646 0.022706294 0.050766107 0.013291489 0.005630423 0.006507292 0.007061104 0.006738047 0.0015691342 0.0010153222 0.0016614362 0.0007384161 0.0017998893 0.0015691342 5.743971 0.0 0.0 0.0 4.0 552960.0 462848.0 0.0 0.0 332.0 0.0 1.0 0.0 0.0 0.0 1132283600.0 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 217088.0 4096.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -217088.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9601984 0.0 0.0 -7.7335796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8120627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6591105 0.0 3.6930342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53198.0 0.0 0.0 -139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -216460.0 0.0 16680.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 1.0 -2.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 266984.0 16680.0 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 244864.0 0.0 0.0 1380.0 221184.0 64.0 266848.0 0.0 0.0


Input: 0.18551399 0.008470118 0.007602062 0.005563447 0.0066945497 0.02011653 0.002946128 0.0025318286 0.0094960015 0.0022227482 0.0027817234 0.002025463 0.005057081 0.0026304715 0.00206492 0.0077533145 0.006221065 0.0015717066 0.0016769255 0.0016308923 0.0033998843 0.002433186 0.0018742109 0.0013020834 0.0027817234 0.0014270308 0.0014073022 0.0015585542 0.0024068814 0.0011902883 0.0011902883 0.0019005155 0.007878262 0.0013349642 0.0017624159 0.0018610585 0.005872527 0.0014073022 0.0011376789 0.0014993687 0.0024397622 0.0011376789 0.0014270308 0.0028540615 0.0013218118 0.0036432028 0.001328388 0.0009469697 0.0023345433 0.0010719171 0.0011902883 0.0046362057 0.001959701 0.001551978 0.0011902883 0.0010587648 0.0017624159 0.0021175295 0.0013152357 0.003314394 0.0017492635 0.0019268203 0.0013020834 0.0011508312 0.005622633 0.0067997687 0.0285998 0.002393729 0.003899674 0.023930714 0.002867214 0.0021504103 0.0026699284 0.0016111637 0.0014664878 0.0008614794 0.0020320392 0.0037286931 0.0014664878 0.0012823548 0.004925558 0.0023148148 0.0016111637 0.002696233 0.0021109532 0.003833912 0.0035116794 0.0029263995 0.001584859 0.0039522834 0.00096012204 0.0017426873 0.0012428977 0.003833912 0.0029198232 0.0027028094 0.0017295349 0.0059185605 0.0016835016 0.0031302609 0.0034787983 0.0081939185 0.0050702337 0.0016308923 0.0034327651 0.0038865216 0.0046953913 0.001400726 0.0037089647 0.0019070917 0.004465225 0.0054450757 0.0030842277 0.00080886995 0.006181608 0.004833491 0.01194234 0.0099300295 0.0026436236 0.0013546927 0.0017624159 0.0021109532 0.0014927925 0.00087463175 0.0019991582 0.002880366 0.0019399726 0.0021569866 0.0038733692 0.003103956 0.0018742109 0.009844539 0.0026370476 0.006457807 0.00094039354 0.00080886995 0.0030513469 0.009693287 0.0022687817 0.036570128 0.0013218118 0.005260943 0.0013152357 0.0010390362 0.0018544823 0.00092724117 0.00096012204 0.0009666982 0.0015059449 0.0015782828 0.0010456124 0.0011508312 0.0013152357 0.0013020834 0.0008417508 0.00081544614 0.0011837122 0.0008614794 0.00088120793 0.00080886995 0.0017163826 0.0014993687 0.0010916456 0.0017032302 0.001433607 0.0010719171 0.00080886995 0.0009140888 0.0014927925 0.0011245265 0.00089436024 0.0010390362 0.0011245265 0.0007036511 0.00092724117 0.0008220223 0.0014993687 0.00086805556 0.000775989 0.00074968435 0.001144255 0.00083517464 0.0017887205 0.0017426873 0.0018676347 0.000920665 0.0011113741 0.00075626053 0.0011047979 0.00086805556 0.0013086596 0.0010258838 0.006457807 0.0041890256 0.0024989478 0.004504682 0.0026238952 0.0010390362 0.0028146044 0.0034064604 0.0029198232 0.0023016625 0.001288931 0.0011968645 0.021694813 0.0008614794 0.001400726 0.0013349642 0.0023476956 0.0013809975 0.0015059449 0.0015322496 0.0015585542 0.00075626053 0.0014204546 0.0011179503 0.0021306819 0.0014599116 0.0010258838 0.001551978 0.0013941498 0.0013086596 0.0010587648 0.0011179503 0.0041956017 0.0016177399 0.0011837122 0.000848327 0.0019136679 0.0022622054 0.0009732744 0.0012494739 0.026100852 0.018229166 0.0012626263 0.004116688 0.0038141834 0.0009075126 0.0012560501 0.0009075126 0.004202178 0.0012231692 0.001144255 0.0013546927 0.0017952967 0.00083517464 0.002768571 0.0020451916 0.003722117 0.0017163826 0.0014664878 0.0013020834 0.0034919507 0.0016045875 0.0030842277 0.044454966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054175965 0.0002989477 0.00021258503 1.3286564e-05 0.0002258716 5.978954e-05 0.00011625744 0.0001129358 2.989477e-05 4.6502977e-05 4.3181335e-05 1.6608206e-05 1.3286564e-05 9.964923e-06 1.3286564e-05 0.00017272534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025991842 0.00031555592 0.0025975234 0.0002823395 0.0027337107 0.000999814 0.004035794 0.0025476988 0.0002657313 0.00011625744 0.00023583652 9.964924e-05 9.6327596e-05 0.0001129358 0.00013950893 0.00024580144 0.03165856 0.0011127498 0.00303598 0.0009034864 0.0028400032 0.0010961415 0.01129358 0.0059623457 0.00051153277 0.00023583652 0.0002092634 0.00018601191 0.0002092634 0.00021922831 0.00024580144 0.0015047034 0.02131165 0.0021424585 0.002139137 0.0009732409 0.0047565904 0.0014150192 0.01157592 0.0062911883 0.00031223428 0.00031223428 0.00033548576 0.0002989477 0.00043845663 0.00038531038 0.0002258716 0.0015080251 0.011712107 0.0011027849 0.0015478848 0.0005015678 0.0023151839 0.000694223 0.0039859693 0.0022886107 0.00055471406 0.00016608206 0.00014283057 0.00015943877 0.0008071588 0.00014947385 0.00073740433 0.00034545068 0.0021225286 4.3181335e-05 4.982462e-05 7.6397744e-05 0.0009034864 0.00034212903 0.001610996 0.0009367028 4.6502977e-05 3.9859693e-05 3.9859693e-05 3.653805e-05 6.311118e-05 6.311118e-05 4.982462e-05 0.0003786671 0.014854379 0.0011094281 0.0014249841 0.0011791826 0.0028167516 0.00094666774 0.0016076743 0.0012422937 0.0013087266 0.0008868782 0.000823767 0.0007805857 0.0012256856 0.00081380206 0.0016442124 0.0013485863 0.028466465 0.004102227 0.0031489157 0.0043280986 0.0083140675 0.00694223 0.0043646363 0.00651706 0.01635244 0.0012057557 0.0014482356 0.0014449139 0.007433833 0.0018235809 0.0075567337 0.012197066 0.12386068 0.022318106 0.021985942 0.020052748 0.06478529 0.02918394 0.019116044 0.028426604 0.06888752 0.014023969 0.01400404 0.014538824 0.049010817 0.018245775 0.059673283 0.057736766 0.0045307186 0.0016574989 0.0015445631 0.0012887968 0.002341757 0.0015113468 0.0013319781 0.0014283058 0.0026340615 0.00109282 0.0012555803 0.0009665976 0.0018036511 0.0010728901 0.0012389722 0.0015113468 548.0 14.321168 7848.0 0.047910295 0.001529052 0.001783894 0.0011467889 0.003312946 0.0011467889 0.001019368 0.007517839 0.001656473 0.0011467889 0.001401631 0.0025484199 0.001401631 0.001783894 0.004459735 0.001529052 0.0022935779 0.002166157 0.001656473 0.001656473 0.001656473 0.001529052 0.001019368 0.00063710497 0.0011467889 0.001656473 0.002038736 0.002038736 0.0022935779 0.002038736 0.0022935779 0.0024209989 0.006625892 0.010066259 0.008027523 0.008409786 0.005606524 0.009556575 0.005479103 0.006753313 0.004204893 0.004459735 0.001529052 0.002166157 0.004077472 0.004969419 0.002930683 0.003185525 0.010066259 0.002803262 0.003058104 0.013506626 0.00637105 0.0026758409 0.00637105 0.009046891 0.001911315 0.002166157 0.001656473 0.002038736 0.0012742099 0.0024209989 0.001783894 0.014271152 0.005733945 0.046763506 0.009938838 0.036314983 0.029306829 0.0964577 0.009046891 0.011213048 0.007900102 0.04090214 0.00382263 0.0050968397 0.036187563 0.014271152 0.043832824 0.06320082 0.018221203 0.001783894 0.06422018 0.041411825 0.06906218 0.022171253 0.010703363 0.00382263 0.005988787 0.012869521 0.002803262 0.0012742099 0.001656473 0.001529052 0.0011467889 0.002038736 5.381131 1.0 0.0 0.0 3.0 152064.0 204800.0 1.0 0.0 105.0 0.0 1.0 0.0 0.0 0.0 1448879700.0 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 12.0 0.0 6.0 0.0 6.0 0.0 116224.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116224.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.828409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.790998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.826069 0.0 4.190059 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116221.0 0.0 1296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 147228.0 1296.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 123392.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 144704.0 0.0 0.0 436.0 122880.0 0.0 0.0 0.0 0.0


Input: 0.0064692004 0.0035789846 0.0035642022 0.0036892334 0.003542839 0.0037245208 0.0037212782 0.003863667 0.0036008246 0.0036334414 0.0036291499 0.003783269 0.0037587588 0.0037699172 0.0038321945 0.0041037155 0.0035124158 0.0036262886 0.003605021 0.0037558023 0.003592432 0.0038296194 0.0037671516 0.003862141 0.003692953 0.0038176028 0.003771157 0.0038938995 0.0037743996 0.0038808337 0.0039492147 0.00402389 0.003551804 0.0035475122 0.003588045 0.0037743044 0.003691713 0.0037233762 0.0037431181 0.003936721 0.0036247626 0.003670636 0.0038042509 0.0039374838 0.0037431181 0.0038877004 0.0038412546 0.004005388 0.0036565212 0.0037555161 0.003782697 0.0040507847 0.0036869445 0.0039224154 0.003849552 0.00393386 0.0037715386 0.003917456 0.0038789262 0.0040785377 0.003980878 0.00400329 0.0040520243 0.0040747225 0.0035439834 0.0037486495 0.0037489356 0.0037128855 0.0036624342 0.0038704383 0.003923083 0.003970578 0.0036035904 0.0037524644 0.0037691542 0.0038446882 0.0037183217 0.0038854114 0.0038952345 0.00402513 0.0036952419 0.0038383936 0.0037542763 0.0039119245 0.0037887054 0.0039381515 0.0039954693 0.004076344 0.0038544158 0.003963425 0.0038702474 0.003902006 0.0038815013 0.003980878 0.0040869303 0.00406366 0.0036666305 0.003778119 0.003790708 0.0039152624 0.0038564187 0.0039186007 0.003991941 0.004004816 0.003750271 0.0037762118 0.004007486 0.003937579 0.0039232736 0.0039285193 0.003942443 0.0041004727 0.0037825063 0.0038623316 0.003986791 0.004035716 0.0040864535 0.0041597937 0.00396991 0.004097516 0.0039907964 0.0040441086 0.0040126364 0.00400844 0.004125174 0.004102285 0.0041677095 0.0040884563 0.0035013529 0.0036573797 0.0036305804 0.0040984703 0.0035863281 0.0039246087 0.0037115503 0.0038937088 0.0036572842 0.003957035 0.0037553255 0.0044104285 0.0038470724 0.004023032 0.0038844578 0.0040191216 0.003582704 0.0038033924 0.0037520828 0.003910971 0.0037440718 0.0038919921 0.003814074 0.003963234 0.0037301476 0.0038611873 0.0038065398 0.003901243 0.0038594706 0.0039669536 0.003991559 0.004124983 0.00356754 0.003720992 0.0037821247 0.003984788 0.0036478424 0.003789373 0.0037697265 0.0039918455 0.0038229434 0.0038934227 0.0038754928 0.00402389 0.003949024 0.0039674304 0.003955795 0.004056888 0.0038029156 0.0038899893 0.0038205592 0.003985074 0.003809687 0.0039882213 0.0038905614 0.0040013823 0.00381951 0.0039745835 0.003941585 0.004038577 0.003976014 0.004087693 0.0040644226 0.0041485396 0.0037581867 0.0039000032 0.0037327227 0.003993085 0.003802248 0.0038438297 0.0039366256 0.0040317103 0.0038188426 0.0039805914 0.0038367722 0.0039044856 0.0039635203 0.003939773 0.003968861 0.004151401 0.003755707 0.0039586565 0.0037780239 0.0039404402 0.0038962837 0.0040082494 0.003968861 0.0040594633 0.0038705335 0.004000238 0.0038925642 0.0040191216 0.0039269933 0.004049449 0.0040618475 0.004187737 0.003891706 0.0039504543 0.0039219386 0.0040075816 0.0039941343 0.0039551277 0.0039288052 0.0040969444 0.004188214 0.0040009054 0.0040039574 0.004122885 0.0040363837 0.0039811637 0.0040292307 0.0041707614 0.0040685236 0.004031329 0.004043346 0.0040862625 0.0040209335 0.004076344 0.0040685236 0.004212438 0.0041842083 0.0041348063 0.004073006 0.0041376674 0.0041742898 0.004109724 0.004128321 0.0047596768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00041912636 7.0108754e-06 6.5816384e-06 3.6246704e-06 8.203201e-06 1.3115584e-05 6.104708e-06 4.387759e-06 5.1508473e-06 1.57387e-06 2.1461865e-06 2.1938795e-06 2.2415725e-06 2.0984933e-06 2.2415725e-06 2.5754237e-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 5.756549e-05 0.0 7.86935e-06 0.0 0.0 0.0 2.012646e-05 1.2066337e-05 4.769303e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003121986 4.340066e-06 1.7360264e-05 3.4815912e-06 3.7534417e-05 1.3449435e-05 4.6548397e-05 2.5563464e-05 1.8600282e-06 3.195433e-06 1.7169491e-06 9.538606e-07 3.004661e-06 2.3846515e-06 1.1446327e-06 1.3640207e-05 0.0005644947 1.4450989e-05 3.6580554e-05 9.44322e-06 6.91072e-05 3.4815912e-05 0.000113080176 6.181017e-05 8.537053e-06 6.486252e-06 4.9600753e-06 2.8138888e-06 6.438559e-06 5.7231637e-06 4.8646893e-06 3.3146658e-05 0.0004976768 2.9188135e-05 3.7534417e-05 1.3830979e-05 7.974275e-05 3.3003576e-05 0.00012595729 7.397189e-05 1.430791e-05 8.060122e-06 8.584746e-06 1.006323e-05 1.054016e-05 1.0110923e-05 1.52140765e-05 8.96629e-06 0.000299703 7.344727e-06 2.8091195e-05 1.7121798e-05 3.5626694e-05 2.3894208e-05 0.00011098168 8.1841245e-05 7.86935e-06 5.4846987e-06 6.486252e-06 4.9600753e-06 8.870904e-06 1.4498682e-05 5.9139356e-06 2.5038842e-05 0.00021461865 1.1732485e-05 2.108032e-05 1.2400188e-05 3.257434e-05 1.5500234e-05 5.017307e-05 2.9855837e-05 1.50709975e-05 8.34628e-06 9.013983e-06 1.1780178e-05 1.4021751e-05 1.57387e-05 1.1255555e-05 1.52140765e-05 0.000106975465 8.298587e-06 1.07786245e-05 2.7041948e-05 1.4546375e-05 1.49279185e-05 1.1303248e-05 1.8171046e-05 7.3256495e-05 1.1923258e-05 1.1732485e-05 1.4355603e-05 2.5468078e-05 1.2543267e-05 1.9458757e-05 0.00010759548 0.0010442866 0.00016210861 0.00013468512 0.00016807024 0.00031429707 0.0002880182 0.0001382144 0.00025005455 0.00070857536 4.7311485e-05 5.661163e-05 9.381219e-05 0.00029750913 0.00011579868 0.00026283629 0.0006062261 0.0011490205 0.00022053257 0.00014875457 0.00023779745 0.00038621816 0.00046309934 0.00019811685 0.0003497807 0.0008644362 6.9631824e-05 7.430574e-05 9.080753e-05 0.00043209887 0.00020145536 0.00039685372 0.00077296095 0.057567492 0.059891667 0.059624825 0.061906364 0.059697844 0.061703287 0.061468303 0.06361516 0.059861287 0.06154576 0.0616265 0.06300912 0.06176262 0.062995434 0.06356365 0.06472798 48365.0 5.712209 276271.0 0.0100517245 0.009125099 0.0094327675 0.009849025 0.010174792 0.009867123 0.009573933 0.010656203 0.009740436 0.009914178 0.009957614 0.010757553 0.009762154 0.010402829 0.010482461 0.010732216 0.009570314 0.010334056 0.010348534 0.010323198 0.009639086 0.0105403755 0.010272522 0.010554854 0.009548595 0.01050056 0.010352154 0.010511418 0.010087921 0.010645345 0.010699639 0.010677922 0.0089404965 0.009925038 0.009085282 0.010236326 0.009849025 0.009834547 0.010663442 0.010659823 0.00940743 0.010283381 0.009957614 0.010127737 0.010008289 0.010467983 0.010232707 0.010728596 0.010131356 0.01020013 0.010522277 0.010290621 0.010475222 0.010214608 0.010620007 0.011206388 0.01059829 0.010247185 0.010250804 0.010507799 0.010087921 0.010547615 0.010482461 0.010543995 0.009671663 0.010623626 0.009990191 0.010862523 0.010620007 0.012230745 0.011039885 0.010967492 0.010145835 0.01059105 0.010869762 0.010435406 0.011394609 0.010569332 0.011148474 0.01187964 0.01039559 0.010189271 0.011731235 0.011224486 0.011926695 0.010797369 0.010652584 0.011047124 0.010764793 0.010746694 0.010609148 0.010685161 0.011126756 0.011021786 0.011094179 0.010525896 6.582754 2.0 0.0 0.0 160.0 10485376.0 146808830.0 1.0 0.0 134.0 0.0 1.0 0.0 1.0 0.0 1497915000.0 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 0.0 0.0 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 10.0 6.0 0.0 6.0 0.0 114176.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114176.0 0.0 146622460.0 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 4.985189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.005486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6654377 0.0 7.9986215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -6212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43522.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113870.0 0.0 146622100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 159064.0 146622100.0 176128.0 0.0 0.0 9656.0 146791940.0 6212.0 146800640.0 112.0 152928.0 0.0 0.0 0.0 0.0 24.0 153144.0 64.0 153040.0 0.0 0.0 572.0 118784.0 0.0 0.0 0.0 0.0