Input: 0.07571872 0.0072750393 0.004528018 0.004203083 0.0046088127 0.0035374044 0.003535648 0.0036252248 0.004656236 0.0032844818 0.003340687 0.0047229794 0.0042048395 0.0033231229 0.0033002894 0.0046246205 0.004406826 0.0033213664 0.0032124692 0.004392775 0.0037218272 0.003307315 0.003052636 0.0032124692 0.0037991093 0.0030561488 0.003013995 0.0030034566 0.0033810842 0.0032177384 0.0031369436 0.0031141103 0.0042188903 0.0033038023 0.0029999437 0.0036568402 0.009365164 0.0039167884 0.003017508 0.0031878795 0.0033916226 0.003147482 0.0031580206 0.003340687 0.0031826103 0.002966572 0.0030631744 0.0030772258 0.0037393912 0.0034759303 0.0036392761 0.0039589424 0.0035496992 0.0037235836 0.0036076608 0.003595366 0.003915032 0.0035286224 0.0033336612 0.003962455 0.0034987635 0.003375815 0.0032844818 0.003328392 0.003820186 0.0055414652 0.0040028524 0.0043471083 0.004888082 0.0046913642 0.0036181991 0.0041117496 0.003526866 0.0032563792 0.0032809689 0.0032581356 0.003957186 0.0037885706 0.0031580206 0.003129918 0.004187275 0.0036638658 0.002949008 0.0040098783 0.0038008655 0.0035128146 0.00406257 0.0038184295 0.0032704305 0.003885173 0.0032950202 0.0035672635 0.0032756997 0.0037938398 0.0035707762 0.0034460712 0.0037797887 0.0037130453 0.0033916226 0.0036094172 0.0036322505 0.0043822364 0.003841263 0.0030631744 0.0035391608 0.004461275 0.0039343527 0.0032563792 0.0035637505 0.0031439692 0.003574289 0.0037060196 0.0035936094 0.0030947898 0.0039308397 0.003328392 0.005511606 0.005295568 0.0031773408 0.0036234683 0.0033916226 0.0034372893 0.0032967767 0.0030122385 0.0036410324 0.0033793277 0.0034460712 0.0029823796 0.004008122 0.0039940705 0.0030842514 0.005639824 0.005256927 0.0037587117 0.003289751 0.0030772258 0.00390625 0.007162629 0.003393379 0.0088698575 0.0039729937 0.0041925446 0.0029735977 0.0031053282 0.0032317897 0.003168559 0.003324879 0.0030420977 0.004113506 0.003340687 0.0031632897 0.0028963157 0.003061418 0.0042575314 0.003426751 0.0029700848 0.003458366 0.0029981874 0.003147482 0.0029753542 0.003259892 0.003561994 0.0029086105 0.0032353024 0.003272187 0.003375815 0.003410943 0.0033143407 0.0031720717 0.0030227771 0.0033301483 0.0034566098 0.0035778019 0.0028401108 0.002966572 0.0031703154 0.0032282767 0.0030298028 0.0031966614 0.003082495 0.0032809689 0.0032844818 0.0032019306 0.0031931486 0.0032493537 0.0031896357 0.002931444 0.0030034566 0.0033319048 0.0030930333 0.0033160972 0.002931444 0.004389262 0.0035374044 0.0033319048 0.0037481734 0.0035637505 0.0030298028 0.0033336612 0.00478621 0.003698994 0.0035374044 0.0033863534 0.0030860077 0.0036585967 0.0031264052 0.0030210207 0.003186123 0.0037393912 0.0032159819 0.0032124692 0.0034899814 0.003488225 0.0030895206 0.00390625 0.003272187 0.0031193795 0.0031790973 0.0030210207 0.0031738281 0.0037657374 0.0033231229 0.0030473669 0.002984136 0.0035426738 0.003307315 0.00295779 0.0030280463 0.0033687893 0.0043154927 0.0034214815 0.0034829557 0.0054185167 0.003595366 0.003031559 0.003600635 0.003772763 0.0030034566 0.0031193795 0.0034214815 0.0038219425 0.003129918 0.0033231229 0.00368143 0.003307315 0.0030702 0.003410943 0.0034126996 0.0041117496 0.0031896357 0.0032458408 0.0033055586 0.0037253401 0.0031281614 0.003535648 0.0115114935 0.012612613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017586923 1.7595721e-06 3.5191442e-06 3.5191442e-06 5.2787163e-06 8.7978606e-07 8.7978606e-07 5.2787163e-06 2.6393582e-06 2.6393582e-06 3.5191442e-06 1.7595721e-06 1.7595721e-06 4.3989303e-06 1.7595721e-06 3.5191442e-06 0.0049655125 2.9912726e-05 2.3754223e-05 0.00010205518 8.3579675e-05 2.6393582e-05 1.2317005e-05 2.0235078e-05 2.7273367e-05 8.797861e-06 7.0382885e-06 2.463401e-05 5.2787163e-06 2.1114865e-05 1.2317005e-05 3.5191442e-05 0.0031997818 4.3109514e-05 2.7273367e-05 7.0382885e-06 6.510417e-05 2.7273367e-05 5.718609e-05 3.6951013e-05 2.0235078e-05 7.0382885e-06 1.8475506e-05 2.0235078e-05 1.7595721e-05 1.3196791e-05 1.2317005e-05 3.079251e-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 0.0041886615 4.0470157e-05 6.158502e-05 6.246481e-05 0.00020674971 0.00010381475 0.00014076577 7.830096e-05 3.959037e-05 2.3754223e-05 2.0235078e-05 9.589668e-05 0.00011701154 0.00017243806 2.8153154e-05 2.5513795e-05 0.0040443763 0.00011437218 0.00012932855 3.6951013e-05 0.00036951015 0.00014164555 9.237754e-05 7.126267e-05 4.926802e-05 2.2874437e-05 3.079251e-05 9.765625e-05 6.95031e-05 3.5191442e-05 2.3754223e-05 7.6541386e-05 0.003654631 5.4546734e-05 0.00019795186 8.885839e-05 0.0002709741 0.00023402309 0.00018035613 9.853604e-05 0.00016627955 6.686374e-05 6.3344596e-05 5.8945665e-05 7.478181e-05 5.6306308e-05 6.0705235e-05 7.830096e-05 0.00068447355 7.0382885e-06 5.2787163e-06 6.1585024e-06 0.00015220298 8.621903e-05 0.0005481067 0.0002771326 3.5191442e-06 8.7978606e-07 4.3989303e-06 1.7595721e-06 1.0557433e-05 5.2787163e-06 6.1585024e-06 2.6393582e-06 0.0063749296 0.00026129646 0.0006510417 0.0006791948 0.00096688484 0.00059297576 0.0031566722 0.0017534136 0.00035631334 0.0001328477 0.00012229026 0.00012844877 0.00023138373 0.00030440596 0.00012756897 0.0003765484 0.0016056095 3.8710587e-05 4.5748875e-05 0.000567462 0.00015308277 7.56616e-05 0.00024721987 0.00015308277 4.7508445e-05 4.8388232e-05 4.3109514e-05 4.39893e-05 6.510417e-05 6.158502e-05 4.39893e-05 0.00036335163 0.0057001337 0.00053842907 0.00048828125 0.0030035896 0.0006888725 0.0005041174 0.00082084036 0.0006747959 0.00044517173 0.00044605153 0.00039942286 0.0004671664 0.0004847621 0.0005850577 0.00053666945 0.00043285472 0.0031311584 0.00024721987 0.00057625986 0.00018651463 0.0005173142 0.0002850507 0.001134924 0.00065280125 0.00048740147 0.00029296876 0.000201471 0.00021114865 0.00024282094 0.00021906673 0.00026041668 0.00036247185 0.013854871 0.0016381616 0.004170186 0.0016689542 0.0035912865 0.0026367188 0.0019258517 0.0024026956 0.008983496 0.0014789203 0.0013803843 0.0012343398 0.0029692778 0.0015950521 0.002413253 0.00571421 0.022867398 0.005020059 0.0065851985 0.00419482 0.00916737 0.0064646676 0.0041517103 0.005706292 0.013053386 0.0035948057 0.002840829 0.0024572425 0.006007179 0.0036053632 0.006130349 0.009865041 0.04847357 0.046394635 0.046116624 0.047008727 0.046228357 0.047026325 0.04618789 0.046295222 0.04612366 0.046539802 0.04683101 0.045784064 0.0462134 0.046441264 0.046825733 0.045653857 2704.0 7.41679 20055.0 0.01889803 0.0066816257 0.0062328596 0.004936425 0.008626278 0.00762902 0.005235602 0.006033408 0.007230117 0.006033408 0.0065320367 0.0058838194 0.0065320367 0.0065818997 0.007379706 0.007329843 0.011019696 0.009274495 0.013462977 0.009473947 0.010969833 0.010122164 0.011318873 0.013014211 0.010720518 0.008127649 0.008077786 0.00882573 0.008077786 0.00882573 0.007728746 0.007878334 0.008277237 0.011219148 0.006881077 0.011069559 0.011019696 0.009274495 0.009623535 0.015507354 0.006881077 0.010172027 0.0074295686 0.007878334 0.009473947 0.00987285 0.008077786 0.0071303914 0.013213662 0.0067813513 0.008027923 0.020393917 0.009224632 0.007030666 0.017053103 0.014709549 0.007579157 0.0067314883 0.00693094 0.0067314883 0.0071802544 0.0058838194 0.0067813513 0.006382448 0.0067813513 0.020194465 0.008476689 0.013462977 0.014460234 0.037995514 0.009922712 0.008476689 0.009723261 0.022687608 0.010421341 0.007379706 0.01834954 0.011618051 0.021241585 0.023635004 0.012166542 0.0062827226 0.02667664 0.014958863 0.033208676 0.014310646 0.0066816257 0.0075292946 0.009623535 0.00917477 0.00727998 0.0058339564 0.007828471 0.006432311 0.006133134 0.0059336824 6.4156427 0.0 0.0 0.0 18.0 569344.0 581632.0 0.0 0.0 226.0 1.0 1.0 0.0 0.0 0.0 966307460.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 5.0 0.0 5.0 0.0 86016.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 -86016.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3086014 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8895497 0.0 0.0 0.0 0.0 0.0 0.0 -7.9977384 0.0 0.0 0.0 7.99072 0.0 0.0 0.0 0.0 0.0 0.0 -5.595644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9597635 -6.674642 0.0 3.171239 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 97730.0 0.0 0.0 0.0 0.0 0.0 0.0 -113384.0 0.0 0.0 0.0 120884.0 0.0 0.0 0.0 0.0 0.0 0.0 -32164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110330.0 -82750.0 0.0 3533.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 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 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 182012.0 3280.0 569344.0 0.0 0.0 0.0 0.0 4296.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 952.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.20296192 0.025364079 0.016922027 0.014646541 0.004577518 0.0075849514 0.0028557342 0.003269114 0.009056432 0.002047937 0.002908829 0.0017028216 0.0018469357 0.0021086165 0.0013956311 0.008756827 0.008138653 0.0023892596 0.0012097998 0.0010808556 0.0017255765 0.007543234 0.0008760619 0.00065989076 0.0044447817 0.002806432 0.0006712682 0.0007509102 0.0013614988 0.0009670813 0.000701608 0.0008950243 0.010251062 0.00077366503 0.0014259709 0.0008153823 0.016000455 0.0011756675 0.00047785195 0.0007509102 0.003944175 0.00061438105 0.00047785195 0.0016686893 0.0007167779 0.0014297634 0.0011453277 0.0004399272 0.006162773 0.0009708738 0.0008381371 0.0062234527 0.001642142 0.0007167779 0.00053473905 0.0005537015 0.0037166262 0.0022906554 0.00065989076 0.003443568 0.00073953276 0.00074711774 0.00054990896 0.0007850425 0.010668234 0.009075395 0.0016800667 0.0026888652 0.007251214 0.0051122573 0.001171875 0.0012894417 0.0695047 0.008411711 0.0009064017 0.0013804612 0.0109905945 0.0048657465 0.0018431433 0.0012894417 0.004679915 0.00072436285 0.0011680825 0.0020365594 0.002988471 0.0022489382 0.0014563106 0.0033146238 0.002279278 0.0006485134 0.0004664745 0.0014449332 0.0037924757 0.0015131978 0.0014449332 0.0027798847 0.0029733009 0.0029846784 0.0010505158 0.0026433556 0.0033184162 0.005317051 0.0032615291 0.0010239684 0.0024271845 0.003189472 0.0004399272 0.0010163835 0.003189472 0.0018621056 0.0027533374 0.0032918688 0.004577518 0.00056507887 0.004816444 0.0034587379 0.011392597 0.006105886 0.0009974211 0.0013728762 0.0026281858 0.001706614 0.0005954187 0.0011832524 0.0014411408 0.00084951456 0.00056507887 0.00092915655 0.00788835 0.0012932342 0.0005309466 0.0124241505 0.0021124089 0.009978004 0.00045888955 0.0006105886 0.001953125 0.01643659 0.0016231796 0.041121814 0.0007054005 0.012462075 0.00042096482 0.00042854977 0.0028481493 0.0003602852 0.0006902306 0.0010581007 0.0007205704 0.00061817357 0.00042475728 0.00047405946 0.001107403 0.00043234223 0.00044371965 0.00032994538 0.0008760619 0.00032615292 0.00036407766 0.00035649273 0.0016573119 0.0006485134 0.00060300366 0.0005802488 0.00076987257 0.00062955095 0.00055749394 0.0006636832 0.0013349515 0.00061438105 0.001005006 0.00067506067 0.000701608 0.0004854369 0.00051956915 0.0005385316 0.0013008192 0.0003602852 0.00042854977 0.0004513046 0.00052715413 0.00034132283 0.00058783375 0.0012704794 0.0033373786 0.0016155946 0.0010391383 0.0008381371 0.0006409284 0.0004968143 0.00059921114 0.00077366503 0.008612712 0.0031932646 0.0015662925 0.0057266383 0.0040882886 0.0005461165 0.0015321602 0.0036521542 0.0024423543 0.003970722 0.0011149879 0.001953125 0.039343145 0.00063713593 0.0014335559 0.0016686893 0.0025637136 0.0009708738 0.0026964503 0.00077745755 0.0005309466 0.0004550971 0.0007509102 0.0008684769 0.002893659 0.001323574 0.00085709954 0.0015245753 0.0005537015 0.00027685074 0.0003716626 0.00055749394 0.002446147 0.0005043993 0.00036407766 0.00054232404 0.0004854369 0.0006485134 0.0003754551 0.00034132283 0.007903519 0.0032956614 0.0009064017 0.0044940836 0.0034966627 0.0005461165 0.0005157767 0.0005006068 0.0024575242 0.00079262746 0.0008229672 0.00076228764 0.0004892294 0.0005157767 0.001793841 0.0010277609 0.0029353763 0.0010012136 0.0010960255 0.0006333435 0.00073953276 0.0016535195 0.002734375 0.033297937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015342712 0.00053215027 0.0007686615 0.00017166138 0.00011634827 0.00019454956 0.00024223328 0.00031852722 0.00058555603 0.0005931854 0.00011062622 8.583069e-05 5.722046e-05 0.00017929077 5.722046e-05 0.00017547607 0.020565033 0.00045967102 0.00051498413 0.0004711151 0.0004940033 0.0003376007 0.00067710876 0.00039100647 0.0011234283 0.00027275085 0.0002937317 0.0005207062 0.0004310608 0.00023078918 0.00014686584 0.00041389465 0.01934433 0.000333786 0.0009098053 0.00041007996 0.000623703 0.0006427765 0.0033950806 0.0017547607 0.0012168884 0.0004005432 0.00032615662 0.00041007996 0.00030517578 0.00031280518 0.00024414062 0.0006198883 0.027524948 0.00090408325 0.0013523102 0.0011367798 0.0016403198 0.0010929108 0.003856659 0.002161026 0.0015354156 0.00034713745 0.0009727478 0.0004749298 0.00055122375 0.00038719177 0.0004081726 0.0025291443 0.060274124 0.0047454834 0.0032196045 0.0033397675 0.0032672882 0.0032482147 0.010984421 0.0063095093 0.0017585754 0.0018959045 0.0015525818 0.0011787415 0.0011825562 0.0017700195 0.0012798309 0.0072746277 0.027885437 0.0017852783 0.002910614 0.0017547607 0.0031433105 0.0019378662 0.0056610107 0.0033550262 0.0013828278 0.0011367798 0.0009784698 0.00071907043 0.0015850067 0.00084114075 0.0006580353 0.0028591156 0.014595032 0.0009841919 0.00089645386 0.00067710876 0.0017623901 0.0015354156 0.0030899048 0.0020599365 0.0009288788 0.0009860992 0.0021419525 0.00076293945 0.0007266998 0.00065231323 0.0006351471 0.0027217865 0.0061950684 0.0015468597 0.0012454987 0.00094795227 0.006181717 0.00078201294 0.00039863586 0.0012207031 0.005033493 0.00024795532 0.00021743774 0.00031471252 0.0045871735 0.00045394897 0.000787735 0.0010890961 0.11222267 0.024505615 0.02943039 0.021183014 0.118860245 0.022714615 0.012126923 0.024972916 0.09510422 0.005344391 0.004085541 0.009756088 0.071302414 0.012691498 0.022705078 0.034088135 0.0027446747 0.00048828125 0.00097465515 0.00058174133 0.0027236938 0.00060653687 0.00039100647 0.00075912476 0.0023517609 0.00020599365 0.00015830994 0.0003414154 0.0011577606 0.00046920776 0.0005226135 0.0011482239 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1275.0 11.640784 14842.0 0.03746126 0.0006737636 0.0003368818 0.00026950546 0.02095405 0.0008085164 0.00026950546 0.0026950545 0.0019539145 0.0006063873 0.00026950546 0.00222342 0.001280151 0.016237704 0.008219916 0.0005390109 0.0072766473 0.00592912 0.0021560437 0.007344024 0.0019539145 0.00148228 0.0005390109 0.0008085164 0.0040425817 0.011790864 0.0002021291 0.0038404528 0.0018865382 0.0016844091 0.00047163456 0.0021560437 0.009432691 0.059762836 0.0014149037 0.009769573 0.015159682 0.011251853 0.0047163456 0.003503571 0.023379598 0.0074114 6.7376364e-05 0.00087589276 0.009836949 0.002762431 0.00222342 0.0016844091 0.005390109 0.0008085164 0.0045142164 0.009163186 0.012127746 0.010847595 0.01724835 0.02816332 0.002425549 0.0004042582 0.0009432691 0.0019539145 0.010578089 0.009095809 0.013879531 0.02203207 0.0017517855 0.033957686 0.0067376364 0.022099448 0.021223554 0.067578495 0.016237704 0.009365315 0.006805013 0.036046356 0.0009432691 0.0036383236 0.032408033 0.019134887 0.034227192 0.04002156 0.01873063 0.0004042582 0.040358443 0.027354805 0.045883305 0.020280285 0.004985851 0.0069397655 0.007748282 0.0065355073 0.0017517855 0.0008085164 0.00222342 0.0008085164 0.00026950546 0.0015496564 5.6238623 0.0 0.0 0.0 2.0 263680.0 286720.0 1.0 4.0 167.0 1.0 1.0 0.0 0.0 0.0 1534995500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 176640.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64000.0 0.0 0.0 0.0 0.0 9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176640.0 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 -5.4235806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7215767 0.0 0.0 0.0 0.0 5.444031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3612633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2555814 0.0 3.0416977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63514.0 0.0 0.0 0.0 0.0 9564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176251.0 0.0 7664.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 241360.0 680.0 241528.0 7696.0 274432.0 9564.0 258048.0 0.0 0.0 1648.0 282624.0 56.0 214176.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 191792.0 0.0 0.0 1608.0 192000.0 96.0 241144.0 0.0 0.0


Input: 0.011510299 0.0039539286 0.0036772175 0.0037949795 0.0036888137 0.003573251 0.0036496264 0.0038853504 0.0039077434 0.003535463 0.00348268 0.003656024 0.0039507295 0.0036942118 0.0036608228 0.004269027 0.0035710516 0.003672019 0.0034898776 0.0035892457 0.0037216032 0.0036802164 0.003600642 0.003777785 0.0036136378 0.0038321675 0.0035524576 0.003728801 0.0038299684 0.0037541927 0.0038761534 0.004026505 0.0036420287 0.003470484 0.003423699 0.0037769852 0.0037523932 0.0035386619 0.0034818803 0.003941532 0.0034500905 0.003690813 0.003463686 0.0037647893 0.0037857825 0.0036896134 0.0037573916 0.0039403327 0.0035208678 0.0036544248 0.003526466 0.0041842544 0.0038663566 0.003675418 0.0037258018 0.0037989782 0.0036168369 0.004033703 0.003889549 0.0039749215 0.0039961147 0.0039787204 0.003971723 0.004179056 0.0036010419 0.003641629 0.0040470986 0.003759591 0.0034854792 0.004433174 0.0037272014 0.0039603263 0.0035274655 0.004004312 0.0035660532 0.0037014096 0.003510871 0.00419785 0.0039759213 0.0039563277 0.003937734 0.003802777 0.0038661566 0.0037609905 0.0036098391 0.0038861502 0.0038043766 0.0039285365 0.0037861823 0.0037793845 0.0036672207 0.003815573 0.004023506 0.003943332 0.003937334 0.0040808874 0.0035100712 0.0041522644 0.0036454275 0.0038793525 0.0036742184 0.0039937156 0.0038975466 0.0040708906 0.003990117 0.003912142 0.0038849507 0.003815373 0.0038699554 0.003935934 0.0038771532 0.0041652606 0.0037120061 0.0037461952 0.0042372374 0.0040840865 0.004333806 0.004300817 0.0037321998 0.0040117097 0.0040646926 0.0039153406 0.0037929802 0.004048298 0.0040698913 0.0041654604 0.004108879 0.004268827 0.003746995 0.003551258 0.0035010742 0.004294019 0.003516869 0.004007711 0.0037555923 0.0037681882 0.0036766175 0.0040908842 0.0037347989 0.005341682 0.0036882139 0.0042744256 0.0038591588 0.0039357343 0.003529065 0.0035256662 0.0037735864 0.0039007454 0.0034900776 0.0037216032 0.0037985784 0.0037523932 0.0035234669 0.003713206 0.003821571 0.0037228027 0.0037635895 0.0039821193 0.004045499 0.0041372697 0.0035494585 0.0036618223 0.0037300005 0.0036862146 0.0036996102 0.0037016096 0.0035372623 0.003806376 0.0035276655 0.0036016416 0.0035184685 0.0037270014 0.003646827 0.0037737864 0.003817972 0.004029504 0.0037266016 0.0037194039 0.0036170369 0.0038021773 0.0037008098 0.0037811839 0.0037899811 0.003911342 0.003787382 0.0038343668 0.0037078075 0.0038291686 0.0039631254 0.0040051118 0.0040996815 0.004300817 0.0039517293 0.0036606228 0.0036250341 0.0042202426 0.0041114776 0.0037294007 0.0038069757 0.0042098463 0.0037010098 0.0037889814 0.0036252341 0.0039493297 0.0045265444 0.003911742 0.0038299684 0.0042250413 0.0038331673 0.0038705552 0.003753393 0.003755992 0.0037411968 0.0036920127 0.003852161 0.0040197074 0.0039029447 0.0037411968 0.003811974 0.00382457 0.0038343668 0.0038813518 0.0040566954 0.0042332388 0.0038329673 0.003746595 0.0039903168 0.0039739218 0.0038535607 0.0040287045 0.0038057761 0.0042250413 0.004720282 0.003952129 0.0037619902 0.0042562312 0.004157463 0.0039033447 0.0039045443 0.004340804 0.004163261 0.004216244 0.0039823195 0.004112677 0.0039981143 0.003924138 0.0040868856 0.004426976 0.004355199 0.004089085 0.0040341024 0.004281023 0.004639108 0.0043705944 0.004592123 0.007098717 0.0005976771 0.0 2.3999078e-06 4.999808e-07 1.6999347e-06 2.3999078e-06 7.7997e-06 1.7999308e-06 9.999616e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00063637557 1.5199416e-05 1.6499367e-05 3.9998463e-06 3.4198685e-05 1.249952e-05 4.509827e-05 2.7798933e-05 4.399831e-06 1.2999501e-06 2.3999078e-06 1.9999231e-06 1.7999308e-06 3.199877e-06 3.099881e-06 9.299642e-06 0.00030168841 6.6997427e-06 6.6997427e-06 3.099881e-06 2.8298913e-05 2.5999002e-06 4.0998425e-06 7.7997e-06 3.199877e-06 9.7996235e-06 2.5999002e-06 2.0999194e-06 1.6999347e-06 3.89985e-06 2.6998964e-06 2.2599132e-05 0.0006426753 1.1799547e-05 1.669936e-05 1.589939e-05 8.259683e-05 1.2799508e-05 2.7798933e-05 1.849929e-05 6.799739e-06 2.2599132e-05 5.4997886e-06 3.9998463e-06 5.399793e-06 1.1499558e-05 3.3998695e-06 0.00013599478 0.00042068385 6.799739e-06 2.029922e-05 1.8899274e-05 8.7196655e-05 1.249952e-05 0.0001197954 5.6397836e-05 1.9999232e-05 5.2997966e-06 3.4998657e-06 4.5998236e-06 4.1998387e-06 9.499635e-06 2.9998848e-06 2.6498983e-05 0.0004898812 1.6799355e-05 6.919734e-05 2.1699167e-05 0.00010789586 7.249722e-05 0.00039528482 0.00020379218 1.2899504e-05 7.1997233e-06 9.199647e-06 5.599785e-06 5.1998004e-06 5.1998004e-06 4.6998193e-06 6.4997503e-06 0.000833368 2.5299028e-05 7.979693e-05 5.7897778e-05 0.00018349296 0.00026039 0.00061147654 0.0003175878 5.6897814e-05 1.3699474e-05 3.259875e-05 3.1698783e-05 2.8698898e-05 4.0198458e-05 2.6698975e-05 6.24976e-05 0.00040698439 1.4099459e-05 8.799662e-05 4.8198148e-05 0.00015259413 0.0002107919 0.0006450752 0.0003098881 3.4698667e-05 1.3999463e-05 2.5099036e-05 1.9399255e-05 2.1799164e-05 3.1298798e-05 1.0899582e-05 1.509942e-05 0.0009551633 9.419638e-05 0.00011339565 0.00011229569 0.00043558326 0.0004115842 0.00045718244 0.00024159072 0.000730372 5.5797856e-05 5.599785e-05 8.829661e-05 0.00053057965 0.0001247952 0.00032758742 0.0007949695 0.0037691554 0.00057957775 0.0003359871 0.00047838164 0.0014698436 0.0013622477 0.00067807396 0.000755471 0.002678797 0.00022349141 0.00019939234 0.00036108613 0.0015556403 0.00036098613 0.001328049 0.002704696 0.0016826354 0.00041258417 0.00030398832 0.0004451829 0.0006589747 0.00074847124 0.0002839891 0.00062557595 0.0010691589 0.00018589286 0.00016049384 0.00020459214 0.00056607823 0.00023019116 0.0006102766 0.0012323527 0.05708531 0.058135666 0.057517692 0.06039038 0.057853278 0.058525253 0.059001435 0.062032416 0.058130167 0.059667908 0.058521852 0.060857162 0.06015719 0.060990557 0.062141214 0.06537179 24224.0 6.3626156 154128.0 0.010101994 0.008038773 0.0077468078 0.010406935 0.014572304 0.007973892 0.008064725 0.010932472 0.008025797 0.010582114 0.0076754387 0.008285321 0.0148967095 0.008745978 0.011133603 0.008700561 0.00822044 0.008512406 0.008810858 0.015577961 0.0084605 0.008551334 0.008473476 0.008492941 0.008350203 0.008797882 0.008830323 0.008363179 0.010303125 0.008823834 0.009472646 0.008960085 0.008635679 0.008363179 0.0083112735 0.009070383 0.008817347 0.015240579 0.011114139 0.015675282 0.008213952 0.009206633 0.010160387 0.00808419 0.008583775 0.009414253 0.009265026 0.009063895 0.011458009 0.0085448455 0.008869251 0.0116267 0.009900861 0.008252881 0.010231756 0.010173363 0.008330738 0.00856431 0.008330738 0.008823834 0.017673623 0.008960085 0.009569968 0.009544015 0.008350203 0.021754645 0.009764611 0.011393128 0.0110362815 0.019912021 0.009712706 0.014215457 0.00969973 0.015876414 0.009232586 0.00887574 0.013910516 0.014234922 0.013942957 0.014786411 0.011185508 0.008213952 0.019256722 0.012950275 0.016512249 0.010724852 0.008921157 0.01186676 0.009673778 0.009174193 0.0084605 0.0087913945 0.0106989 0.009031454 0.010063064 0.008817347 6.5357156 4.0 0.0 0.0 72.0 5001608.0 18108416.0 1.0 0.0 154.0 0.0 1.0 0.0 0.0 0.0 1390294900.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 146944.0 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 26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -146944.0 0.0 17906176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0855064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0066485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.414334 0.0 7.9975615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -146745.0 0.0 17905964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 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 -1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 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 2.0 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 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 173348.0 17905964.0 200704.0 0.0 0.0 6560.0 18089984.0 0.0 0.0 28.0 152400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 165024.0 0.0 0.0 676.0 151552.0 0.0 0.0 0.0 0.0


Input: 0.056455806 0.008279663 0.0061610094 0.0056442395 0.0057504815 0.004965528 0.004197078 0.0054183463 0.0050449516 0.005617421 0.0037452914 0.0044580414 0.004943867 0.0031779793 0.004324981 0.0046406128 0.005028448 0.0037628263 0.004924269 0.0041589136 0.004354894 0.003186231 0.004112497 0.0038453445 0.005082085 0.0033481729 0.003170759 0.0029366137 0.004151693 0.0034410057 0.0037896447 0.0037917078 0.0061661666 0.003820589 0.0034894852 0.0030222263 0.004880947 0.0041743857 0.0038432817 0.0037308505 0.004727257 0.0038979498 0.0033285748 0.0031037128 0.0043600514 0.0037153785 0.003718473 0.0035967587 0.005513242 0.003958807 0.0031099017 0.0029036065 0.0036823712 0.0030768944 0.0026942168 0.002863379 0.0041785114 0.0033131025 0.003532807 0.0033595192 0.0039949086 0.0032336789 0.0035049573 0.0034626666 0.0065735998 0.003951587 0.003623577 0.0032336789 0.0041527245 0.0032223328 0.003543122 0.0030923667 0.004995441 0.0037844875 0.0037071267 0.0035771606 0.004117654 0.0031305314 0.0035524052 0.0034595723 0.005151194 0.0036349234 0.0036607103 0.003341984 0.0039216736 0.003385306 0.0033708652 0.0035297128 0.004636487 0.0036411122 0.0038040855 0.003513209 0.0041114655 0.0033976836 0.0037030007 0.0037896447 0.005905203 0.003629766 0.0033388895 0.00294796 0.0040072864 0.0030624538 0.003270812 0.0030449186 0.004971717 0.0031686958 0.0032140808 0.0030624538 0.0035864438 0.0028386235 0.0030985556 0.0031986088 0.004504458 0.0032780324 0.0032254271 0.0031480663 0.0039010444 0.0033492043 0.0032955676 0.0036266716 0.0046117315 0.0032955676 0.003467824 0.0031614755 0.0040361676 0.003190357 0.0034750444 0.00334611 0.008626238 0.0045941966 0.0040155384 0.003532807 0.0043713977 0.0034410057 0.0030139745 0.0033904633 0.004535402 0.003820589 0.002967558 0.0031944828 0.0037308505 0.0027994274 0.0028520327 0.0029799356 0.005231649 0.0031986088 0.0034987684 0.0030387298 0.00365349 0.0031759162 0.003312071 0.003266686 0.0045601577 0.0028468752 0.003054202 0.002707626 0.0035163036 0.0032305846 0.002991282 0.0031501295 0.0049964725 0.00340903 0.0032718435 0.0027973643 0.003775204 0.0030325411 0.0030645167 0.0031975773 0.004138284 0.0029995337 0.0031243425 0.0030201634 0.0036400808 0.0028427492 0.0029149528 0.0030438872 0.0046612425 0.0031243425 0.0038350297 0.0028582215 0.0035616886 0.0031552867 0.0029902505 0.0031274369 0.0042455574 0.0031501295 0.0033409526 0.0031851996 0.0036627732 0.0031965459 0.003337858 0.0033595192 0.006707692 0.004062986 0.0037277562 0.0033347637 0.004108371 0.00325534 0.003296599 0.0032223328 0.00433117 0.0033357951 0.0031140277 0.0030676113 0.0036380177 0.0029902505 0.0030789576 0.0028014902 0.004254841 0.0032718435 0.0030985556 0.003008817 0.0037091896 0.0030273837 0.0029376452 0.002943834 0.003980468 0.003117122 0.0027354758 0.002642643 0.00353487 0.0029582747 0.003582318 0.0028860713 0.00494593 0.0032419309 0.003387369 0.002969621 0.0038185262 0.0030727687 0.0032006716 0.0029170157 0.0044384436 0.005452385 0.0034791704 0.0031398146 0.0037906764 0.0030779259 0.0032429623 0.0031975773 0.0046137944 0.0033254803 0.0034296594 0.003050076 0.00374426 0.0030872093 0.003312071 0.0032398677 0.0043538623 0.003030478 0.0031893256 0.002863379 0.0040124436 0.0030964925 0.004220802 0.0044972375 0.011630911 0.0 0.0 0.0 0.0 0.0 1.0333995e-06 3.1001985e-06 0.0 1.0333995e-06 2.066799e-06 0.0 0.0 1.0333995e-06 0.0 1.0333995e-06 0.0020450975 4.133598e-06 2.066799e-06 6.200397e-06 5.166997e-06 1.0333995e-06 3.1001986e-05 1.1367394e-05 0.0 0.0 1.0333994e-05 0.0 0.0 0.0 0.0 0.0 0.0009471106 2.5834986e-06 6.200397e-06 1.2917493e-05 9.300596e-06 5.683697e-06 5.1669973e-05 2.2734788e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028526993 3.5652283e-05 2.7901786e-05 1.0850695e-05 2.2218088e-05 3.4618883e-05 4.236938e-05 1.808449e-05 3.5652283e-05 5.166997e-06 9.817295e-06 1.6017691e-05 2.6351687e-05 7.233796e-06 1.7051092e-05 1.2917493e-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 0.00087683945 1.18840935e-05 1.2400794e-05 8.267196e-06 1.34341935e-05 1.6017691e-05 1.34341935e-05 1.1367394e-05 1.0850695e-05 1.34341935e-05 6.7170968e-06 1.34341935e-05 1.18840935e-05 1.0333994e-05 1.808449e-05 9.817295e-06 0.001619337 6.510417e-05 5.6836972e-05 4.8569775e-05 4.7536374e-05 3.0485284e-05 2.2734788e-05 0.0005528687 2.9968585e-05 1.7051092e-05 1.963459e-05 0.00027643435 2.0667989e-05 0.00027333415 1.6534392e-05 7.750496e-05 0.0007404307 3.7202382e-05 3.4102184e-05 2.0667989e-05 2.2218088e-05 1.7051092e-05 1.3950893e-05 1.18840935e-05 1.6534392e-05 2.2734788e-05 1.911789e-05 1.756779e-05 6.7170968e-06 4.650298e-06 2.2734788e-05 5.0636572e-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 0.0013139674 3.7202382e-05 4.2886077e-05 5.993717e-05 4.236938e-05 3.1518684e-05 9.1455855e-05 5.838707e-05 3.926918e-05 5.735367e-05 4.3919477e-05 4.2886077e-05 7.802166e-05 7.7504965e-06 8.783895e-06 0.00016069361 0.0011651579 6.9237765e-05 4.5986275e-05 4.5986275e-05 3.823578e-05 3.771908e-05 4.7536374e-05 5.993717e-05 5.2186675e-05 5.0636572e-05 6.820437e-05 5.1669973e-05 7.492146e-05 1.4467592e-05 4.3919477e-05 0.00025059938 0.004567109 0.00029193534 0.00027023396 0.00026971727 0.00029865245 0.00023974868 0.00033068782 0.00030640294 0.00033017114 0.00034980572 0.00032707094 0.00035032243 0.00051928323 0.00015294312 0.0001834284 0.0007362971 0.0031864874 0.00027281747 0.00029968584 0.0002480159 0.00028780175 0.00028160136 0.00034205522 0.00093057624 0.000406126 0.00035032243 0.00032345403 0.0006670594 0.00046141286 0.00043402778 0.00017412781 0.00085823826 0.0022440269 0.00018136161 0.00028935185 0.00024439898 0.00029761906 0.00029400215 0.00028470156 0.0004014757 0.00044177828 0.00032190394 0.00024543237 0.00031622025 0.00045934608 0.00016121032 0.0001891121 0.0010354663 0.00034360532 5.4253473e-05 4.2886077e-05 4.4952878e-05 5.4253473e-05 4.8053076e-05 5.3220072e-05 5.1669973e-05 7.027116e-05 4.8053076e-05 3.823578e-05 4.9086473e-05 4.4436176e-05 2.6351687e-05 4.185268e-05 4.7019676e-05 0.09903946 0.062038586 0.062454015 0.055361792 0.060591828 0.059564114 0.055010438 0.054475654 0.060465753 0.05322007 0.05216859 0.053021144 0.056405526 0.050614357 0.056693327 0.053848896 4037.0 5.704236 23028.0 0.017196456 0.010422095 0.009423311 0.008728504 0.013461873 0.012593364 0.011811707 0.011551155 0.012506514 0.009727289 0.008467952 0.008598228 0.013809276 0.010508945 0.011724857 0.00990099 0.016762203 0.011898559 0.008728504 0.007556019 0.009814139 0.0085113775 0.007816571 0.008337676 0.010248393 0.008424527 0.009640438 0.00885878 0.01150773 0.008945632 0.009683863 0.0091627585 0.017978113 0.010899774 0.010335244 0.009032482 0.010812923 0.008902206 0.010682647 0.008337676 0.014243529 0.0115945805 0.009727289 0.008945632 0.011377454 0.00933646 0.0115945805 0.009553587 0.014721209 0.009597013 0.00990099 0.009206184 0.012028835 0.009379885 0.009683863 0.009857565 0.013722425 0.009293035 0.01046552 0.009553587 0.011116901 0.009770714 0.010378669 0.010639221 0.017891264 0.010986625 0.009683863 0.008207399 0.013027619 0.008250825 0.009379885 0.008424527 0.015416015 0.009249609 0.008902206 0.008685079 0.011290602 0.007990273 0.00990099 0.0078599965 0.013157895 0.008033698 0.008728504 0.008945632 0.011420879 0.009466737 0.008294251 0.007990273 0.0109431995 0.009032482 0.011855133 0.008685079 0.011377454 0.009075908 0.010031266 0.008815356 6.5550995 0.0 0.0 0.0 14.0 969484.0 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: 0.41436297 0.03482572 0.021259014 0.024459135 0.01038161 0.013070913 0.0061748796 0.0063701924 0.010952524 0.001141827 0.0015925481 0.0015174279 0.0026592547 0.0012920673 0.003079928 0.0065504806 0.005093149 0.001577524 0.0056189904 0.0045372597 0.005033053 0.0004657452 0.0025691106 0.00030048078 0.0026592547 0.0008263221 0.0006610577 0.0006610577 0.0021935096 0.0004957933 0.000766226 0.000766226 0.01305589 0.00040564904 0.0012169471 0.00043569712 0.0012319712 0.0036207933 0.00040564904 0.0033954326 0.001968149 0.0001953125 0.00067608175 0.0009765625 0.0013371394 0.0005408654 0.0010516827 0.0004957933 0.003996394 0.0011117789 0.0014573317 0.0019230769 0.0015024039 0.0004957933 0.0016075721 0.0010216347 0.0040414664 0.00051081734 0.0010066106 0.0007361779 0.0022686298 0.00087139424 0.001141827 0.0008563702 0.0073167067 0.0028846154 0.0008864183 0.001156851 0.0017878605 0.005198317 0.0012169471 0.00036057693 0.0013521635 0.0007061298 0.0005408654 6.0096154e-05 0.0010066106 0.00078125 0.0034705529 0.0034705529 0.0018028846 0.0009314904 0.003861178 0.00055588945 0.0048677884 9.014423e-05 0.00037560097 0.00016526443 0.0018479567 0.00031550482 0.00063100964 7.5120195e-05 0.002313702 0.00013521635 0.0012469952 0.00022536058 0.0045973556 0.0056941104 0.0020733173 0.0012620193 0.0018028846 0.018269232 0.0015625 0.0005859375 0.002328726 0.0053335335 0.000766226 0.0007061298 0.0107421875 0.011268029 0.010021034 0.0076322113 0.0015474759 0.00010516827 0.0036808895 0.00851863 0.008413462 0.0007061298 0.0012920673 0.0063551683 0.0039663464 0.00084134616 0.00031550482 0.00015024039 0.00043569712 0.0007361779 0.00037560097 0.0004657452 0.012139423 0.00033052886 0.00051081734 7.5120195e-05 0.0007061298 0.00018028847 0.00018028847 0.00015024039 0.0005258414 0.00055588945 0.0007361779 7.5120195e-05 0.00028545674 0.00030048078 0.00031550482 0.00030048078 0.0036959134 4.5072116e-05 0.00040564904 0.0006610577 0.00045072116 6.0096154e-05 0.00012019231 0.0006460337 0.0018780048 4.5072116e-05 0.0001953125 6.0096154e-05 0.00042067308 6.0096154e-05 0.00037560097 0.00013521635 0.00084134616 0.0007061298 0.0003455529 0.00010516827 0.00036057693 7.5120195e-05 0.00012019231 0.00012019231 0.00042067308 6.0096154e-05 0.00010516827 7.5120195e-05 0.0024639424 6.0096154e-05 0.001171875 9.014423e-05 0.0012169471 0.000766226 0.0009765625 9.014423e-05 0.00241887 0.00018028847 0.001953125 6.0096154e-05 0.0032301683 0.0015625 0.0020432693 0.000390625 0.0012169471 0.00012019231 0.00016526443 0.00013521635 0.015504807 4.5072116e-05 0.00030048078 9.014423e-05 0.0004657452 7.5120195e-05 0.00015024039 0.0005258414 0.0016977163 0.0005258414 0.00024038462 0.0003455529 0.0017127404 9.014423e-05 0.0012920673 0.00012019231 0.0013070913 9.014423e-05 0.00036057693 0.00063100964 0.0032151442 7.5120195e-05 0.00010516827 0.00015024039 0.00241887 4.5072116e-05 0.0007061298 0.0 0.0009314904 0.0006911058 0.0013972356 0.00022536058 0.003515625 0.0 0.00025540867 0.00021033654 0.00087139424 3.0048077e-05 0.001968149 0.0 0.001577524 0.0012469952 0.0004957933 1.50240385e-05 0.0013671875 1.50240385e-05 0.00016526443 0.007872596 0.0030498798 3.0048077e-05 0.0001953125 0.00012019231 0.00048076923 4.5072116e-05 0.0004657452 0.00031550482 0.0016526442 0.00016526443 0.00036057693 0.00010516827 0.0012169471 0.0013521635 0.0116436295 0.049729567 0.061553955 9.918213e-05 7.6293945e-06 3.0517578e-05 0.0001373291 0.0 7.6293945e-05 4.5776367e-05 3.0517578e-05 6.866455e-05 3.8146973e-05 0.00016021729 1.5258789e-05 6.866455e-05 0.0 0.00016784668 0.015151978 5.340576e-05 7.6293945e-06 1.5258789e-05 6.1035156e-05 0.0 3.0517578e-05 1.5258789e-05 1.5258789e-05 3.8146973e-05 2.2888184e-05 6.866455e-05 1.5258789e-05 3.8146973e-05 0.0 9.1552734e-05 0.0287323 0.00019836426 0.00017547607 8.392334e-05 0.0002822876 5.340576e-05 0.00038146973 0.00015258789 0.00016784668 7.6293945e-05 6.1035156e-05 0.00010681152 0.00022125244 0.00010681152 9.1552734e-05 0.00035858154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013145447 0.0004119873 0.0001449585 0.0001449585 0.0002975464 9.918213e-05 0.00023651123 0.00016021729 0.00010681152 9.1552734e-05 6.1035156e-05 0.00015258789 8.392334e-05 0.00018310547 8.392334e-05 0.00022125244 0.012634277 0.00062561035 0.00031280518 0.00025177002 0.0004119873 9.918213e-05 0.00032043457 0.00016784668 0.00015258789 1.5258789e-05 7.6293945e-06 0.00016784668 9.918213e-05 0.00017547607 0.00016784668 1.5258789e-05 0.023124695 0.0007095337 0.0007171631 0.00077056885 0.0012359619 0.0005264282 0.0012817383 0.00050354004 0.00064086914 9.918213e-05 9.1552734e-05 0.00030517578 0.0001449585 0.00016784668 0.00022125244 0.0007095337 0.02230835 0.0009689331 0.00074768066 0.0006942749 0.00089263916 9.918213e-05 0.0009841919 0.00038909912 0.0005569458 7.6293945e-05 6.1035156e-05 0.0002975464 0.00048828125 0.00032043457 0.0009994507 0.0013656616 0.042266846 0.0018386841 0.0013046265 0.0012741089 0.002357483 0.0009994507 0.0026016235 0.00092315674 0.0015792847 0.00035858154 0.00022888184 0.0006866455 0.00077056885 0.00079345703 0.0033493042 0.016792297 0.075920105 0.0050582886 0.003868103 0.0030441284 0.0044021606 0.0026016235 0.013343811 0.005996704 0.0022506714 0.0005722046 0.00075531006 0.0015945435 0.0014648438 0.0007171631 0.0038757324 0.015159607 0.102630615 0.007888794 0.006828308 0.0057678223 0.0066375732 0.003868103 0.018218994 0.009246826 0.0025100708 0.0013275146 0.002204895 0.0062408447 0.003501892 0.003440857 0.0048294067 0.017982483 0.14993286 0.015686035 0.016296387 0.0079574585 0.013427734 0.009994507 0.046287537 0.01977539 0.008666992 0.006263733 0.002784729 0.0049438477 0.015487671 0.005706787 0.005050659 0.015487671 0.013580322 0.0008468628 0.00075531006 0.0011291504 0.002090454 0.0011444092 0.0016555786 0.0007324219 0.0006790161 0.00021362305 0.0007019043 0.0017929077 0.0009384155 0.00063323975 0.0009841919 0.0033721924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 653.0 12.045941 7866.0 0.062929064 0.00012712942 0.00012712942 0.0012712942 0.00038138826 0.0 0.0010170353 0.0 0.00025425883 0.00038138826 0.0013984236 0.00025425883 0.00050851767 0.0010170353 0.0025425884 0.0010170353 0.008390541 0.0029239766 0.0043224003 0.0040681413 0.0027968471 0.0010170353 0.00038138826 0.0025425884 0.0025425884 0.0010170353 0.002669718 0.0021612002 0.0063564708 0.0016526824 0.005466565 0.00050851767 0.00076277653 0.013729977 0.002415459 0.006992118 0.0040681413 0.034197815 0.005339436 0.00076277653 0.0013984236 0.0021612002 0.00050851767 0.0 0.0013984236 0.0021612002 0.026824307 0.0011441647 0.0030511061 0.004576659 0.027332826 0.0022883294 0.030129671 0.00025425883 0.0012712942 0.00038138826 0.0013984236 0.0012712942 0.0011441647 0.00012712942 0.0043224003 0.0 0.0 0.0 0.0012712942 0.038393084 0.014238494 0.007373506 0.0055936943 0.13259599 0.0058479533 0.0027968471 0.0035596236 0.03521485 0.00050851767 0.0031782354 0.05644546 0.08962624 0.066107295 0.050724637 0.0044495296 0.0 0.020467836 0.06509026 0.05034325 0.002669718 0.0013984236 0.02631579 0.005339436 0.0038138826 0.0006356471 0.0008899059 0.00050851767 0.0008899059 0.00012712942 0.00012712942 4.827175 0.0 0.0 0.0 1.0 66560.0 86016.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 931802100.0 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 1.0 0.0 4.0 0.0 4.0 0.0 4.0 0.0 61440.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58880.0 -512.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.199887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7848406 -2.7312045 3.776145 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 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 -61440.0 -4096.0 8192.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 77824.0 4952.0 69632.0 0.0 0.0 0.0 0.0 996.0 81920.0 0.0 0.0 9.0 62604.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 576.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13588896 0.009534433 0.0055148457 0.0045479345 0.007171256 0.0029709488 0.0023954066 0.0028535384 0.009313424 0.001771519 0.0025024575 0.0018164113 0.0050348435 0.0017623103 0.0016667703 0.0042348397 0.0076305387 0.0014895033 0.0012638908 0.0011119476 0.003176993 0.0018106558 0.0010589977 0.0010302205 0.0027706602 0.0009415871 0.0011130987 0.0009392849 0.0024759825 0.00094388926 0.00091396103 0.0009231697 0.0055723996 0.0008886372 0.0011844658 0.00085525576 0.005454989 0.0016345399 0.0008943926 0.00079424825 0.001908498 0.0009795729 0.00092777406 0.0017692167 0.0021893627 0.0012051854 0.0013110852 0.0009243208 0.005206355 0.002669365 0.0026567029 0.012180775 0.0043706675 0.002235406 0.0027649049 0.004591676 0.004044911 0.0026567029 0.0029663446 0.004115127 0.0035890813 0.0029076394 0.0024437523 0.0026497964 0.011528111 0.0057876525 0.0034187208 0.008444356 0.005993697 0.017895909 0.0044259196 0.003297857 0.0036639017 0.003124043 0.0072840624 0.001416985 0.0026497964 0.0033231808 0.0013824524 0.0015758346 0.009503353 0.0023631763 0.0025807314 0.007454423 0.0036581464 0.009135006 0.0049162814 0.00359829 0.0021778517 0.0052132616 0.002768358 0.0049393033 0.002344759 0.0034440446 0.0041761342 0.0025715227 0.001964901 0.004429373 0.0019211599 0.0024460545 0.008477737 0.0073842066 0.0042705233 0.0018095047 0.0068121175 0.004066781 0.0037180027 0.0012800059 0.0043683653 0.002360874 0.00464923 0.005215564 0.0033312384 0.00077352877 0.005115419 0.0040276446 0.013016463 0.0061663594 0.0015700791 0.0018221666 0.0024874934 0.0017082093 0.0009415871 0.0013582796 0.0021122398 0.0022296505 0.0016184247 0.001376697 0.0066429083 0.0014411578 0.000831083 0.008054138 0.004168077 0.0047931154 0.0012500777 0.0010417314 0.003232245 0.011235735 0.0022987155 0.054720253 0.0014031719 0.008148527 0.0007389962 0.0011867681 0.0030860573 0.00084489596 0.0009323784 0.0009991413 0.0014699348 0.0011913724 0.0015182804 0.00079770153 0.0015907987 0.0015954031 0.0007804352 0.0016046118 0.0015597194 0.00081957213 0.0008713709 0.0008425938 0.0018210156 0.0029893662 0.0007861907 0.0012086387 0.001499863 0.0014411578 0.00070906803 0.00068374415 0.001267344 0.0006353986 0.0007677733 0.000641154 0.0014354023 0.00061122584 0.00066762895 0.00074475165 0.0021548301 0.0008943926 0.0018693611 0.0011004367 0.0012972722 0.0008218743 0.0010244652 0.0013099341 0.0026601562 0.0017220223 0.0021916647 0.0012546821 0.0018877785 0.0007608668 0.0013248982 0.0011119476 0.011232282 0.0012558331 0.0018279221 0.012244085 0.003543038 0.00085180247 0.0055286586 0.0028385741 0.0020213043 0.0016345399 0.0009922348 0.0009795729 0.001990225 0.00075626245 0.0010854726 0.00089899695 0.0028719557 0.0010923791 0.0028178548 0.0017646124 0.0016276333 0.000790795 0.0019579947 0.0012166962 0.004482323 0.0009669109 0.0016000074 0.002561163 0.0015896476 0.0015608704 0.0012477755 0.0010118032 0.0022952624 0.0010716596 0.0011752573 0.0008529536 0.0020017358 0.0013928121 0.00078849285 0.00085410464 0.024717236 0.0035649084 0.0010405803 0.0053525427 0.0045640497 0.00087021984 0.001105041 0.0010175586 0.0058981567 0.0010371271 0.0018336775 0.0011741061 0.0037110962 0.0008575579 0.0033185764 0.0024932488 0.008221045 0.0034785771 0.0031413094 0.002766056 0.009746232 0.0030135391 0.005071678 0.04974066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019012415 2.8247676e-05 1.44120795e-05 5.3036452e-05 3.2283056e-05 4.1506788e-05 1.4988563e-05 2.7671193e-05 2.6518226e-05 2.6518226e-05 6.341315e-06 6.86015e-05 1.095318e-05 1.9023944e-05 2.4212293e-05 6.571908e-05 0.0026714231 5.1883486e-05 1.4988563e-05 0.00010837884 9.8578625e-05 0.000114720155 2.1329877e-05 2.7671193e-05 0.000113567185 1.268263e-05 1.7294495e-05 0.0001544975 1.8447461e-05 2.7671193e-05 3.7471407e-05 5.1307004e-05 0.012982978 0.00019946317 0.0016060821 0.00010319049 0.000736169 0.00029631236 0.0048735887 0.002402782 4.4389206e-05 2.363581e-05 1.1529663e-05 2.363581e-05 2.8824159e-05 1.2106147e-05 5.1883486e-05 0.00021618119 0.0039604395 7.3789844e-05 0.00010895532 5.8801284e-05 0.00121465 0.0004998109 0.0035223123 0.0017404027 5.3036452e-05 6.917798e-06 2.3059327e-05 2.709471e-05 3.6894922e-05 1.7294495e-05 4.900107e-05 0.0004139149 0.0052263965 0.000273253 0.0003084185 0.0023042033 0.00064277876 0.00031475982 0.0019306422 0.0011160715 0.001009422 0.000100308076 9.627269e-05 0.00014123837 0.00038220835 0.00017986275 5.5342385e-05 0.00126711 0.009332109 0.00056725944 0.00033378377 0.0013166876 0.0027890257 0.0010342108 0.0041679735 0.00236704 0.0008670307 0.00036606682 0.00017294496 0.00040987955 0.00048712827 0.00046291598 0.00028017082 0.0010197987 0.016712246 0.002311121 0.002181989 0.029620858 0.005914141 0.002809779 0.0060484614 0.004244069 0.0030813026 0.0022655788 0.002055739 0.0022217662 0.0023226507 0.0023739578 0.0023710753 0.0031937168 0.01607408 0.001029599 0.0009829038 0.0014002776 0.007155309 0.0018741468 0.005062675 0.0028530152 0.0021589296 0.00094024406 0.00070446247 0.0010099985 0.0013086168 0.00085780694 0.0012699924 0.0025434438 0.04437018 0.0055353916 0.0050367336 0.0058564926 0.020312386 0.016536996 0.012262373 0.009012162 0.028196946 0.0031493276 0.0026103158 0.004227351 0.010679351 0.005456413 0.011993732 0.027278608 0.08038827 0.014356737 0.0127506545 0.015883265 0.041261785 0.0421513 0.022136377 0.020338327 0.07051831 0.008371112 0.0069662225 0.009700483 0.029064553 0.014339442 0.030950805 0.06370312 0.005102453 0.0051451125 0.0051087937 0.005376282 0.005110523 0.0052108313 0.0051635597 0.005527321 0.005226973 0.005211408 0.0052229376 0.0053705173 0.0053578345 0.005409718 0.0056091812 0.005852457 6904.0 11.253186 77692.0 0.011609947 0.0010039643 0.0023297123 0.0010940637 0.004788138 0.0013000051 0.0012356484 0.0009782217 0.0033722906 0.0010554497 0.0013257478 0.0011970345 0.0041703135 0.0011712918 0.0039515006 0.0011326778 0.011056479 0.009318849 0.0081733 0.02924368 0.011365391 0.0073752766 0.0100267725 0.010104001 0.012806982 0.009280235 0.010464398 0.009550533 0.011506977 0.00866241 0.008507955 0.008495083 0.0043118983 0.012626783 0.009267364 0.016616898 0.017453535 0.009254492 0.0073624053 0.0057921023 0.007053493 0.008675282 0.0015445605 0.0018019873 0.011970344 0.009769346 0.003616846 0.0076713176 0.009177264 0.0032307059 0.0061138854 0.015986202 0.018161459 0.0055346754 0.004299027 0.0064485404 0.003694074 0.0060366574 0.0031019924 0.0061911135 0.0054574474 0.0051614065 0.0062297275 0.0067574526 0.0028703085 0.03328528 0.011815889 0.017067395 0.01943572 0.06330124 0.007915873 0.011738661 0.016874325 0.03145755 0.0027673377 0.0053930907 0.030363487 0.015484219 0.037082326 0.041226897 0.017221851 0.0011326778 0.038897183 0.026309015 0.05588735 0.012819853 0.0059079444 0.00625547 0.0069376514 0.0062683416 0.0020079287 0.0013514905 0.0035267465 0.0010425784 0.0011326778 0.0011970345 5.951063 32.0 0.0 0.0 4.0 868746.0 823296.0 0.0 0.0 20.0 1.0 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 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 672256.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -48640.0 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 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -672256.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 50688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6391096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.149059 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5753045 0.0 0.0 0.0 0.0 0.0 0.0 -5.051969 4.7100506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28.0 0.0 0.0 -48184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 4665.0 0.0 0.0 0.0 0.0 0.0 -10628.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -672192.0 0.0 0.0 0.0 0.0 0.0 0.0 -10580.0 50688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10580.0 700416.0 50688.0 770048.0 0.0 0.0 0.0 0.0 48184.0 720896.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 716800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0