Input: 0.056565497 0.008290581 0.006164712 0.00565934 0.0057513197 0.0049493387 0.0042072996 0.0054237065 0.0050454526 0.0056231683 0.0037453338 0.004467737 0.0049565732 0.0031665848 0.0043251165 0.004638261 0.0050309836 0.0037670368 0.004922468 0.0041576927 0.004351987 0.0031882878 0.0041060187 0.0038455816 0.0050630216 0.0033495107 0.003158317 0.0029330181 0.004150458 0.0034332226 0.0037835727 0.0037856395 0.0061595445 0.0038197443 0.003490064 0.0030260314 0.004898698 0.004160793 0.0038362802 0.0037215638 0.004719906 0.003898289 0.0033381425 0.0031025088 0.0043674894 0.0037205303 0.0037277646 0.0035851444 0.00551982 0.003945829 0.0031056092 0.0029061476 0.0036740238 0.0030704709 0.0026870496 0.0028668754 0.004169061 0.0033216067 0.0035231356 0.003358812 0.0040047374 0.0032192923 0.0035055664 0.0034559593 0.0065894728 0.0039437623 0.003621316 0.0032203256 0.0041618263 0.0032244595 0.0035427716 0.0030642701 0.0049979123 0.0037753049 0.0037019276 0.0035841109 0.0041246214 0.0031190445 0.0035603407 0.0034662941 0.0051663695 0.0036440527 0.0036616218 0.0033453768 0.0039323936 0.0033784483 0.0033577785 0.0035365708 0.004648596 0.0036471533 0.0038104432 0.0035097003 0.004111186 0.003388783 0.0036926263 0.0037959744 0.005912543 0.0036264835 0.003332975 0.002956788 0.003992336 0.0030560023 0.0032719998 0.0030373996 0.0049772426 0.003173819 0.0032079238 0.0030549688 0.00357791 0.0028400049 0.0030849397 0.0031986225 0.0045039086 0.003283368 0.0032285936 0.0031552163 0.003896222 0.003341243 0.0032875019 0.0036306174 0.004624826 0.0032916358 0.0034786959 0.003173819 0.004031608 0.0031986225 0.003474562 0.0033453768 0.008641965 0.0045958883 0.0040088715 0.003524169 0.0043550874 0.003427022 0.0030280983 0.0033856826 0.0045462814 0.0038362802 0.0029619555 0.0031944886 0.003739133 0.0028121008 0.0028524066 0.00299296 0.0052263117 0.003199656 0.003494198 0.0030270647 0.0036678228 0.0031913882 0.0033164395 0.0032606313 0.004550415 0.0028389713 0.003044634 0.0027108197 0.0035169346 0.0032368614 0.00299296 0.0031438482 0.005018582 0.00341462 0.0032709662 0.0027986655 0.0037742713 0.0030053617 0.0030539352 0.0031831204 0.004128755 0.0030032948 0.0031231784 0.00301673 0.0036471533 0.0028441388 0.00292475 0.003036366 0.004664098 0.0031190445 0.0038393806 0.0028596409 0.003558274 0.0031448817 0.0029898596 0.0031324797 0.0042631077 0.0031510824 0.0033340086 0.0031862208 0.003653354 0.0032027564 0.0033340086 0.0033422764 0.0067124567 0.004055378 0.0037215638 0.0033443433 0.0041215206 0.0032647653 0.0033061046 0.0032172252 0.0043251165 0.003332975 0.0031087098 0.0030766719 0.0036502536 0.002982625 0.0030735715 0.0028007326 0.0042496724 0.0032709662 0.0030973414 0.003004328 0.0037163964 0.0030239644 0.0029319846 0.0029474867 0.003973733 0.0031107767 0.0027314893 0.0026426099 0.003532437 0.0029516206 0.0035789434 0.0028906453 0.0049555395 0.0032409953 0.0033960175 0.0029753908 0.0038032087 0.003072538 0.00320379 0.0029226833 0.004437766 0.0054495432 0.003472495 0.0031397142 0.003786673 0.0030818393 0.0032389283 0.0031882878 0.0046103573 0.003315406 0.0034311558 0.0030477345 0.003734999 0.0030932075 0.0033164395 0.0032440957 0.00434992 0.0030342992 0.0031882878 0.0028658418 0.0040078377 0.0030952746 0.0042197015 0.0045059756 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09913921 0.061998256 0.062453397 0.055332154 0.060583122 0.059600346 0.05495054 0.054497987 0.06048992 0.053180195 0.052127518 0.05298861 0.056419007 0.05057931 0.05667221 0.053845048 4036.0 5.7021804 23014.0 0.017293822 0.010428435 0.009385591 0.008690363 0.01342661 0.012514122 0.011818893 0.011384374 0.012557574 0.009820109 0.008516555 0.008603459 0.01390458 0.010602242 0.011688537 0.009993916 0.016685495 0.011905797 0.008733815 0.0075171636 0.009776657 0.008473103 0.0077778744 0.008299296 0.010254628 0.008429651 0.00960285 0.00886417 0.011471278 0.0089510735 0.00960285 0.009211784 0.01798905 0.010906405 0.010428435 0.008994525 0.010862953 0.008820718 0.010645694 0.008255844 0.014208742 0.011601633 0.009733206 0.008907622 0.011427826 0.009298688 0.011645085 0.00960285 0.014817067 0.009733206 0.010124272 0.0089510735 0.012123056 0.009385591 0.0095593985 0.009776657 0.013687321 0.009168332 0.010515339 0.009515947 0.0111671155 0.009776657 0.010428435 0.010645694 0.017902147 0.010949857 0.009689754 0.008212392 0.013035543 0.008212392 0.009429043 0.008386199 0.015425393 0.00934214 0.00886417 0.008646911 0.011297471 0.008038585 0.009863561 0.007995133 0.013122447 0.007995133 0.008690363 0.008907622 0.011601633 0.009515947 0.008342748 0.008038585 0.010906405 0.0089510735 0.012036152 0.008516555 0.011340923 0.009037977 0.009993916 0.008820718 6.554774 0.0 0.0 0.0 14.0 967604.0 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: 0.46700677 0.0015792612 0.0014417595 0.0016874056 0.0010365313 0.0010078015 0.0010052923 0.0011032748 0.0014679802 0.0010932381 0.0023661316 0.0009025425 0.001041675 0.0023040301 0.0008778273 0.00082877337 0.0031471057 0.00087230717 0.00076391175 0.00076980825 0.0010593645 0.001554546 0.0007085849 0.0013068925 0.0008364263 0.00081008015 0.0007531224 0.0007711883 0.00070933765 0.00079878897 0.0007596462 0.0011031493 0.015961478 0.0007942725 0.000807571 0.0015500295 0.0007468495 0.00082940067 0.0014182989 0.0007842359 0.000895015 0.00076830277 0.0010938654 0.0011311263 0.000914461 0.0012484293 0.0013186856 0.0024381443 0.0008251351 0.0025851808 0.0007747011 0.0011225953 0.0008177331 0.0014847915 0.0011705201 0.0008286479 0.0015204215 0.0012140538 0.0009768134 0.00095950026 0.0034497096 0.0007139796 0.0032953967 0.0009089408 0.0008552449 0.0015783829 0.0016098728 0.002169916 0.0010691503 0.0017609239 0.0026490388 0.0010852088 0.0024811763 0.0022853368 0.000758768 0.000938047 0.0011687636 0.0014984664 0.0010953709 0.002328118 0.0018627954 0.0010825743 0.0016224186 0.0016254296 0.0025211973 0.0017882736 0.0015696009 0.0016974423 0.00091797375 0.0009021661 0.00076980825 0.0007620299 0.00076014805 0.00076566817 0.0007672991 0.00090178975 0.00081610214 0.0073902095 0.0027320916 0.0026303455 0.0025020023 0.009931355 0.003756579 0.0029118725 0.0017848862 0.0066191466 0.0027362318 0.0021618865 0.004885447 0.0035385336 0.0056279055 0.006682252 0.0046972604 0.00086590886 0.0076959496 0.0058219885 0.007049341 0.0035182093 0.00200519 0.0012578386 0.0011243516 0.0011848222 0.0011818112 0.0007814758 0.0008366772 0.0008181095 0.0007646645 0.0009374197 0.0012627315 0.0011281153 0.0011479377 0.0011431703 0.00095837115 0.0009995212 0.00095385464 0.0010584864 0.0009553601 0.0011373992 0.00093001773 0.0012092865 0.0009382979 0.0010168344 0.0009377961 0.0009774407 0.0009628876 0.0009287631 0.0009296413 0.00088686025 0.0008813401 0.0010049159 0.0013577029 0.0009324014 0.0008965205 0.0013006197 0.00089024764 0.0008701744 0.00092888856 0.0010130707 0.0008839747 0.0013052616 0.0009553601 0.0014635891 0.0009416853 0.00097304967 0.0017597948 0.0013051361 0.0010091815 0.001108544 0.0010707813 0.0010352767 0.0010065469 0.0009638913 0.0011345138 0.001037284 0.0010454388 0.0013451572 0.0012963541 0.0011519523 0.0010978801 0.0011517014 0.0051446427 0.001212423 0.0011390302 0.0010154544 0.005560284 0.0010095579 0.001499721 0.0011243516 0.0011549633 0.0012254706 0.001198748 0.0011466831 0.0010577337 0.016527668 0.0010049159 0.001489559 0.0012130502 0.0030707018 0.00095924933 0.00097342604 0.0009977649 0.0009652713 0.0010424277 0.0010204727 0.0014144097 0.0010200964 0.0009768134 0.0010042887 0.0051273294 0.0017576619 0.016429309 0.0010154544 0.0010246128 0.001627186 0.0011192078 0.0010480734 0.001355821 0.0011116804 0.00095071824 0.000973677 0.0009502164 0.00091621734 0.000941058 0.0009608803 0.0018842487 0.009272451 0.0009209848 0.0011178278 0.0010266202 0.0011182042 0.009270694 0.0010711576 0.009497647 0.0011810585 0.0010870907 0.0012294851 0.0013201911 0.0011550888 0.016801918 0.0010086796 0.046944503 0.0009997722 0.0009271322 0.0010050414 0.0010189672 0.0009206084 0.0009587475 0.0009367924 0.0011253553 0.0009405562 0.0011463067 0.001179804 0.0013385079 0.0013186856 0.007672991 0.010824488 0.0018502992 8.1557965e-07 3.7642135e-07 1.8821068e-07 1.8821068e-07 0.0 5.0189516e-07 6.2736895e-08 1.2547379e-06 5.0189516e-07 0.0 0.0003432963 1.9448437e-06 5.6463205e-07 0.009621957 0.017986605 0.00025991895 4.5797933e-06 1.2045483e-05 1.70017e-05 8.0303225e-06 4.4166773e-05 1.110443e-05 1.2421905e-05 8.7831654e-07 9.2850605e-06 4.0151613e-06 9.052934e-05 3.0741078e-06 7.4029535e-06 0.0014389962 0.0020595896 0.00037202978 1.273559e-05 2.6412232e-05 3.7893085e-05 1.637433e-05 0.00030703435 5.7216046e-05 2.6725917e-05 5.0816884e-06 2.3338125e-05 9.912429e-06 0.0001931669 5.2698992e-06 1.6938962e-05 0.001147897 0.0041662315 0.0010623238 0.00015815972 7.697817e-05 0.00018250162 5.8721733e-05 0.00091853086 0.00020207553 8.563586e-05 1.5935171e-05 7.064174e-05 7.2021954e-05 0.00033263103 3.933603e-05 6.625016e-05 0.0011050476 0.009172636 0.0014987844 0.00019417069 0.00033087438 0.00035383608 0.00020910207 0.00030534048 0.00015408182 0.0003094811 3.092929e-05 0.00024159979 8.97765e-05 0.00032365965 0.000107154614 0.0001644334 0.005985037 0.0064048097 0.079271704 0.0012900587 0.0013048647 0.0013154044 0.0013258188 0.0013461455 0.0013606377 0.0013261324 0.0012946386 0.0013457692 0.0012630819 0.0020357494 0.0013044883 0.0012942621 0.0028450554 0.0037637118 0.3387557 0.00607657 0.006209008 0.0063480954 0.006167225 0.006184603 0.006334356 0.006166284 0.0061737495 0.00614006 0.006126195 0.006568678 0.011943662 0.011751373 0.012836658 0.007329175 0.023456447 0.0005366514 0.00094111613 0.0008610639 0.0006872827 0.00070553913 0.0021447863 0.0011255626 0.0005623108 0.00062630244 0.0006360266 0.0014461481 0.0021164292 0.0019008025 0.003146067 0.0022784786 0.0056629456 0.00011085609 0.0044612205 0.0019207528 0.0020856254 0.001148838 0.013063704 0.0064627784 0.0001797412 0.00034793883 0.00044223238 0.00040816623 0.0026311853 0.0023126074 0.0026037067 0.0021553887 0.0053141913 0.00023049535 0.007026156 0.003363325 0.0040871203 0.0025058999 0.021832189 0.011240883 0.00027943013 0.0005618089 0.0006966932 0.00082229247 0.005467395 0.0043352447 0.0050090393 0.0016207449 0.006983746 0.0015923879 0.0023375766 0.0015007292 0.0018233851 0.00087969674 0.004694539 0.0023526964 0.00035697292 0.00046011238 0.0008081767 0.0023610403 0.0026473086 0.0025164397 0.0021761546 0.0014570017 0.010154656 0.0038372395 0.0036428177 0.0022102834 0.003380703 0.0016031786 0.0055919276 0.0031389778 0.0013738126 0.0007653901 0.0012793307 0.005326425 0.0015428257 0.0043777805 0.0018070107 0.0023895856 0.0035881111 0.0003389047 0.0037514153 0.0017392549 0.0019908927 0.001299532 0.00758213 0.0045993044 0.0023392078 0.0016413854 0.002815569 0.0027322546 0.0021171193 0.004074259 0.003767915 0.0056034713 0.004225016 0.0005287466 0.0009690968 0.00094908377 0.0015220598 0.0011238687 0.0016600182 0.0015159743 0.0018662971 0.0017784655 0.0018203737 0.0019404521 0.0024553966 0.0020328008 0.0027675126 0.00753583 0.0016267049 0.00025496274 0.00032064828 0.0004866501 0.0005712194 0.0005306914 0.0005593622 0.00062278914 0.00087417586 0.00069179974 0.0006880355 0.0007043471 0.00090535614 0.0009983949 0.0011775715 0.0028636884 0.002617195 0.001558259 0.0012918782 0.0013646529 0.0013987818 0.0014155325 0.0014637145 0.0015592 0.0014022951 0.0012701711 0.0014058711 0.0015023605 0.0014529865 0.0014640281 0.0015350464 0.0024811188 32190.0 29.973656 964852.0 0.11594939 0.0009638784 0.0009711334 0.0010136269 0.00023215996 0.0005617442 0.0026719123 0.0005658899 0.0005555256 0.00053479703 0.00036378636 0.0004021342 0.0013753405 0.0037218144 0.0048370115 0.01347046 0.00063014845 0.0003503128 0.0005109592 0.001173237 0.0005876549 0.0005151049 0.0003140378 0.0004560285 0.003399485 0.00023526924 0.0013483933 0.0019609225 0.021406392 0.00020210353 0.021240564 0.00035238566 0.00012540784 0.0069347424 0.0074653937 0.010829641 0.0027786645 0.003946719 0.009643966 0.002980768 0.013494298 0.011327126 0.00039591565 0.0015142219 0.003098921 0.006375071 0.0030398446 0.013094236 0.009272925 0.002750681 0.0073244395 0.007417718 0.013791753 0.0048909057 0.0033093158 0.007486122 0.001620974 0.0004902306 0.00031300136 0.00024252424 0.00021246781 0.0002591071 0.0003720778 0.0009524777 0.00016375569 0.054287083 0.016372459 0.015228243 0.014148284 0.074411415 0.01835722 0.017787185 0.008083105 0.046651714 0.0018116768 0.0115779415 0.032897275 0.021393955 0.039028782 0.047516096 0.03189401 0.00046639278 0.053123172 0.03811258 0.049655285 0.021754632 0.009637748 0.0042006443 0.0027641545 0.0034202137 0.0034730716 0.00029538208 0.00032958423 0.00025392495 0.000114007125 0.00016375569 5.194781 0.0 1.0 0.0 9.0 7970816.0 13774848.0 0.0 0.0 75.0 0.0 1.0 0.0 0.0 0.0 1471766300.0 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 5.0 10.0 5.0 0.0 44032.0 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 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4483584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44032.0 0.0 3438592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.6269126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6530795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7865477 0.0 6.4429417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10279164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43786.0 0.0 3440104.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 50976.0 3436008.0 10334208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.21766913 0.018867109 0.0058709686 0.0017299354 0.0045302683 0.0011893306 0.0021083588 0.001459633 0.0014920693 0.00077847095 0.0028219572 0.000562229 0.00050816854 0.00097308867 0.0009514645 0.00012974515 0.0005189806 0.0019461773 0.001113646 0.0016434387 0.0003027387 0.0003027387 0.0007352226 0.0006054774 0.0003135508 0.00019461774 0.005589854 0.0003676113 0.0006595379 0.00072441046 0.004497832 0.00041085968 0.02928997 0.0045086443 0.00085415563 0.00041085968 0.00017299355 0.0002703024 0.0019786137 0.00012974515 0.001459633 0.00022705403 0.00080009515 0.0060872105 0.0002919266 0.0008649677 0.0016001903 0.005838532 0.0091686575 0.0062169554 0.005849344 0.005297927 0.013504309 0.005708787 0.00577366 0.0058709686 0.00629264 0.0072224806 0.0002811145 0.000118933065 0.00047573226 0.0005730411 0.0005406048 0.0068116207 0.00043248385 0.0064548217 0.006141271 0.015309929 0.0088118585 0.008228006 0.008228006 0.010509358 0.008952416 0.010293116 0.00856318 0.011352701 0.011385138 0.011536507 0.0056547266 0.0056547266 0.005849344 0.0055357935 0.008487496 0.006692688 0.005957465 0.0068548694 0.006973802 0.00716842 0.006941366 0.0067899968 0.0072224806 0.001232579 0.0025516548 0.0015569419 0.0024327217 0.0022597283 0.008379375 0.009579518 0.008736174 0.010228244 0.0121203605 0.013385376 0.0074387225 0.008141508 0.009536269 0.010368801 0.007200856 0.0064115734 0.010812096 0.0084550595 0.010617479 0.009514645 0.0070927353 0.005914217 0.009265967 0.009320027 0.010466109 0.008130697 0.008206381 0.008530744 0.008519932 0.010552607 0.012152797 0.0014055725 0.0015028814 0.0064331973 0.0026273394 0.0023029766 0.003340938 0.004357275 0.00052979274 0.00020542984 0.00021624193 0.0009514645 0.00044329595 0.002703024 0.00047573226 0.00012974515 4.3248387e-05 0.0005189806 0.00012974515 0.003232817 0.00015136936 0.0012109549 6.4872576e-05 0.00046492016 0.0014704452 0.00012974515 0.0006379137 0.00022705403 3.2436288e-05 0.0002594903 8.649677e-05 7.568468e-05 0.0005946653 0.00049735646 8.649677e-05 3.2436288e-05 0.00015136936 0.000335175 6.4872576e-05 0.0006595379 0.00014055725 7.568468e-05 0.010325552 0.00014055725 0.00046492016 0.0005730411 0.00070278626 0.00010812096 2.1624193e-05 0.000118933065 0.0018272443 7.568468e-05 0.00067035 0.0006487258 3.2436288e-05 4.3248387e-05 0.000335175 5.406048e-05 0.0012109549 0.006249392 3.2436288e-05 0.00080009515 0.0032976894 6.4872576e-05 8.649677e-05 7.568468e-05 4.3248387e-05 0.0017515597 0.0016001903 0.000118933065 0.00021624193 6.4872576e-05 5.406048e-05 0.00010812096 5.406048e-05 0.0 0.0022056678 0.00018380565 4.3248387e-05 8.649677e-05 7.568468e-05 5.406048e-05 0.00021624193 3.2436288e-05 0.00012974515 1.0812097e-05 0.013850296 0.007752273 2.1624193e-05 4.3248387e-05 3.2436288e-05 0.00017299355 0.0002703024 9.730887e-05 7.568468e-05 3.2436288e-05 0.00014055725 0.0002703024 5.406048e-05 7.568468e-05 9.730887e-05 4.3248387e-05 0.009763323 8.649677e-05 2.1624193e-05 5.406048e-05 0.00015136936 0.00019461774 0.00019461774 0.00010812096 0.00010812096 0.00014055725 4.3248387e-05 2.1624193e-05 5.406048e-05 3.2436288e-05 2.1624193e-05 0.00018380565 3.2436288e-05 3.2436288e-05 1.0812097e-05 3.2436288e-05 0.00020542984 0.0 1.0812097e-05 2.1624193e-05 0.00018380565 4.3248387e-05 3.2436288e-05 3.2436288e-05 4.3248387e-05 5.406048e-05 9.730887e-05 0.003795046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008245918 0.00060349365 0.00063641154 0.00029077422 0.00014264396 0.000120698736 0.00058703474 0.0004334182 0.0021012553 1.6458918e-05 5.4863062e-06 0.0035386675 5.4863063e-05 0.005590546 4.9376755e-05 5.4863063e-05 0.014664897 0.0004334182 0.0005650895 0.0005211991 0.0005157128 0.0005211991 0.0019311798 0.0010698297 0.00041147295 3.2917837e-05 6.583567e-05 6.0349368e-05 4.389045e-05 4.389045e-05 8.2294595e-05 0.0015087342 0.008081329 0.0012947683 0.0013880355 0.0007077335 0.0010259392 0.0008174596 0.005233936 0.0034289414 0.0013551177 0.0007241924 0.004877326 0.00060349365 5.4863063e-05 0.00065835676 0.0034015097 5.4863063e-05 0.014697814 0.0028254476 0.015240959 0.052317414 0.07694545 0.056141373 0.080643214 0.058648612 0.0035222087 0.0011411516 0.006078827 0.0038568731 0.00023042486 0.005107751 0.0044548805 0.0001700755 0.2008427 0.014072375 0.034563728 0.024073912 0.055899974 0.02469935 0.053420164 0.04289743 0.006989554 0.0021835498 0.0022164676 0.001881803 0.0027431531 0.0028583654 0.0003675825 0.0022000088 0.010873859 0.0006967609 0.0025950228 0.0020299333 0.003138167 0.0020793101 0.007077335 0.0047346824 0.0020409059 0.0004279319 0.00060349365 0.0027431531 0.0003675825 0.0043670996 0.0005321717 0.00063641154 0.0032369206 0.00022493856 0.00024139747 0.00010972613 0.0005211991 0.00048828125 0.0028967697 0.0017665906 0.0018488852 0.00041695926 0.0027102353 0.0023700842 7.132198e-05 0.0036209621 0.0018872893 6.0349368e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 327.0 116.636086 38140.0 0.014708967 0.000681699 0.0014158364 0.000104876766 2.6219192e-05 2.6219192e-05 0.00052438385 0.0 2.6219192e-05 5.2438383e-05 5.2438383e-05 0.01363398 0.00018353434 0.001363398 0.0030152071 0.014001049 0.01394861 0.014001049 0.013843734 0.012480335 0.014237021 0.012087048 0.013791295 0.013869952 0.014630309 0.013004719 0.0004981647 0.0 0.00081279495 0.00089145254 0.00081279495 0.000104876766 5.2438383e-05 0.01494494 0.014577871 0.014866282 0.015180913 0.013791295 0.013529103 0.014420556 0.01331935 0.013712638 0.012926062 0.01394861 0.013791295 0.0136864185 0.013581541 0.013371788 0.01394861 0.013188254 0.014027268 0.015993707 0.014158364 0.013004719 0.012716308 0.014079707 0.012611432 0.012926062 0.01331935 0.0 0.00026219193 2.6219192e-05 0.0 0.0013896172 0.000104876766 0.019218668 0.016491871 0.01756686 0.016072365 0.028395385 0.013869952 0.015233351 0.014656529 0.0207656 0.013424226 0.011929733 0.017619297 0.016990038 0.019874148 0.021289984 0.016019927 0.014105925 0.021316204 0.021814369 0.02496067 0.016203461 0.014368118 0.014708967 0.013450446 0.015757734 0.013240692 5.2438383e-05 2.6219192e-05 0.000104876766 0.00015731515 2.6219192e-05 6.065428 1.0 1.0 0.0 9.0 92489.0 90112.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541271300.0 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 11.0 0.0 4.0 0.0 4.0 0.0 53248.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 512.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4091506 4.999097 4.871406 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 -53060.0 116.0 4376.0 0.0 0.0 0.0 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 61164.0 4376.0 73728.0 0.0 0.0 0.0 0.0 12.0 81920.0 28.0 65536.0 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: 0.10285466 0.007189247 0.0053929277 0.0064687342 0.0063436865 0.0035727897 0.0036065327 0.0035211826 0.007745014 0.0027431084 0.0029932037 0.0037434895 0.0072249747 0.0030467955 0.0027748665 0.009064961 0.005514005 0.0023342227 0.002362011 0.0023242983 0.0035807292 0.0031063422 0.0026795922 0.0023639959 0.003413999 0.0024394214 0.0023540715 0.0023024643 0.0028244888 0.0020841274 0.002344147 0.002618061 0.0045731706 0.0021873412 0.0022290237 0.0029356421 0.003636306 0.0022607818 0.0021377192 0.002393769 0.002856247 0.0020761879 0.0021635226 0.0036204269 0.0025485898 0.0031043573 0.0022786458 0.0022210842 0.00322742 0.002393769 0.0021813866 0.007486979 0.002530726 0.0021694773 0.0022548272 0.0022468877 0.0027788363 0.0027967002 0.0024533155 0.004023358 0.0025227864 0.0025426352 0.0021952807 0.0025525596 0.0044084257 0.003975721 0.0049344194 0.0067188293 0.0034219385 0.00823131 0.0050832857 0.004037252 0.0031003875 0.0026418795 0.002330253 0.0022032203 0.002699441 0.0052063484 0.0027748665 0.0024890434 0.00586136 0.0030269467 0.0025704238 0.00373555 0.0027550177 0.0046684453 0.0043746824 0.0039816755 0.0025208015 0.0039916 0.0021774168 0.0029277026 0.002413618 0.0044381986 0.0035588956 0.0033584223 0.0031043573 0.0037097465 0.002393769 0.0030309164 0.0035906537 0.004801432 0.0043528485 0.0025942423 0.0038764768 0.0033604072 0.0051071043 0.00229254 0.0032889512 0.0029475514 0.0037276105 0.0039677816 0.003277042 0.0026101214 0.004126572 0.0045632464 0.008016943 0.008128096 0.0028284586 0.0026418795 0.0028522771 0.0026954713 0.0023917842 0.002242918 0.002584318 0.0036224118 0.0029932037 0.0027907456 0.005879224 0.0032889512 0.002240933 0.008634241 0.0033881955 0.009219782 0.002139704 0.002223069 0.0029495363 0.008967702 0.0026617283 0.020906774 0.0024056784 0.007318264 0.0021297797 0.0023163585 0.002447361 0.0020960367 0.0019729738 0.0022885702 0.0022111598 0.0027311991 0.0018499111 0.0020424447 0.0024890434 0.0020483993 0.0021099309 0.0020146563 0.0022369632 0.0022389481 0.0020305354 0.0024691946 0.0026398946 0.0027728816 0.0019451855 0.0025168317 0.0021436738 0.0020662632 0.0020007621 0.0018776994 0.0025346957 0.0021158855 0.0021317645 0.0022984946 0.0020503842 0.0021039762 0.0020245807 0.0021535982 0.00246324 0.0021595529 0.002070233 0.002070233 0.0024394214 0.0024215574 0.004196043 0.0027192899 0.002939612 0.0023381924 0.0024394214 0.002191311 0.002496983 0.0022052051 0.002346132 0.00237789 0.008018928 0.007822424 0.003890371 0.0048351754 0.0038586129 0.0022945248 0.0037295953 0.0050237393 0.004801432 0.004366743 0.0028284586 0.0027212747 0.007754938 0.0022667365 0.0026875318 0.0028403678 0.0034179688 0.0028304434 0.0024215574 0.00237789 0.0026061516 0.0020761879 0.0023342227 0.0021635226 0.0031718432 0.0022885702 0.0024156028 0.0027252445 0.0028046397 0.002209175 0.0021635226 0.0021456587 0.00424765 0.002905869 0.002191311 0.002379875 0.0032651327 0.0029257177 0.0023104039 0.0022369632 0.010112979 0.0037117314 0.0023818598 0.004402471 0.0047200522 0.002256812 0.0026637132 0.002987249 0.0049979356 0.0026061516 0.0022865853 0.002955491 0.0037931118 0.0025942423 0.004108708 0.0028443376 0.005158711 0.0031063422 0.0028463225 0.0038248699 0.0046525663 0.0039856452 0.004890752 0.03491608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001723404 4.3756365e-05 3.778959e-05 4.972314e-06 4.3756365e-05 1.2928017e-05 1.9889256e-05 2.486157e-05 1.8894794e-05 7.955703e-06 1.6905868e-05 6.9612397e-06 3.9778515e-06 1.0939091e-05 1.6905868e-05 4.27619e-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 0.007565873 1.5911406e-05 0.00028242744 4.972314e-05 0.00019889257 8.452934e-05 0.0011565603 0.00057579397 0.00011933554 3.3811735e-05 1.7900331e-05 5.966777e-06 0.00084231 6.9612397e-06 4.8728678e-05 0.0012152336 0.014399822 0.00024861572 0.0011883831 0.0001899424 0.0012788792 0.0004087242 0.0029664827 0.0015951184 0.00010242967 0.00013823033 6.96124e-05 7.1601324e-05 0.00017999778 0.00014021926 8.452934e-05 0.001377331 0.011858969 0.00033911184 0.0005201041 0.000348062 0.001271918 0.0005161262 0.0015702568 0.000896011 0.00050518714 0.0001233134 0.00014618604 0.00012828571 0.0003689457 0.00019292579 0.00024961017 0.0013315857 0.009469275 0.0006444119 0.00036297893 0.00028342192 0.0014519157 0.00044850275 0.0018526843 0.0011883831 0.0007816478 0.00023071538 0.00019392025 0.00027447173 0.00040574084 0.0003828682 0.000668279 0.001727382 0.008570281 0.00037292356 0.0008094927 0.00073391356 0.0017442878 0.0008462879 0.0044154148 0.0027437229 0.00018795347 0.0002436434 0.00028938867 0.00032320042 0.00032717828 0.00032021702 0.00050419266 0.0020078204 0.00949712 0.00073490804 0.00083932665 0.00070507417 0.0012570011 0.0008482768 0.0014499268 0.0013753421 0.00069910736 0.00060861127 0.00067026797 0.00084231 0.0009159003 0.00062054483 0.001216228 0.004196633 0.008418128 0.0005966777 0.0010352358 0.0020038425 0.0021351117 0.0016796477 0.0010004296 0.001777105 0.0055252356 0.000870155 0.00096462894 0.0012530232 0.0061955033 0.0018566621 0.0026989721 0.008832819 0.058630545 0.009111268 0.0062064426 0.008844753 0.019017113 0.016183889 0.008454923 0.012622717 0.036835898 0.0027944406 0.002937643 0.005704239 0.024233071 0.004565579 0.015141691 0.029408256 0.016622446 0.0030927793 0.0022266023 0.003274766 0.006014511 0.005666449 0.003051012 0.005560042 0.011925599 0.0010988815 0.0011476101 0.001510589 0.006688757 0.0025388636 0.0053621437 0.009758663 0.03109188 0.02950074 0.029714549 0.029917419 0.029785156 0.029677754 0.029996976 0.029885598 0.030126257 0.029181518 0.028976658 0.029811012 0.029699633 0.029580297 0.029807035 0.02982593 1883.0 9.404674 17709.0 0.024055565 0.004009261 0.0060421256 0.005251567 0.005985657 0.0046868823 0.0034445762 0.0072279633 0.005477441 0.004799819 0.0042351345 0.004799819 0.005477441 0.003896324 0.0071150265 0.0058162515 0.007566774 0.006098594 0.004799819 0.0058162515 0.0053080353 0.004517477 0.00513863 0.004969225 0.004178666 0.0056468463 0.0069456208 0.0061550625 0.004969225 0.005985657 0.0062679993 0.0059291883 0.009881981 0.010559603 0.0055339094 0.01101135 0.009091423 0.006832684 0.011406629 0.01101135 0.007679711 0.0087526115 0.0049127564 0.0042351345 0.00880908 0.0070585576 0.0069456208 0.0051950985 0.016827602 0.0070585576 0.006719747 0.01434299 0.010051386 0.006098594 0.010503134 0.011971314 0.0071150265 0.0059291883 0.007171495 0.0043480718 0.008413801 0.00440454 0.0043480718 0.011350161 0.006493873 0.027726015 0.009317297 0.021909764 0.019425152 0.05358857 0.00880908 0.010503134 0.010898413 0.024846124 0.01027726 0.006211531 0.021966232 0.02241798 0.029476536 0.04048789 0.017222881 0.014399458 0.03410695 0.039414987 0.03997967 0.014851206 0.008470269 0.0067762155 0.008357332 0.009994918 0.004630414 0.0039527924 0.0038398555 0.004009261 0.0029928286 0.0044610086 6.1793985 0.0 2.0 0.0 4.0 503808.0 536576.0 0.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 1261616900.0 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 11.0 0.0 5.0 1.0 5.0 1.0 181248.0 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 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181248.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8095636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9462957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6598916 0.0 6.987507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39846.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -247712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181132.0 0.0 56632.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 225860.0 56632.0 479232.0 0.0 0.0 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 217240.0 0.0 0.0 420.0 188416.0 96.0 225148.0 0.0 0.0


Input: 0.21568944 0.019319829 0.007968549 0.0054868716 0.007885491 0.009408223 0.0058971285 0.005856858 0.007754611 0.0033701474 0.002393585 0.0019455743 0.0060254913 0.0037074138 0.0018247624 0.003790472 0.005650471 0.0033122583 0.0020462507 0.001719052 0.0041579413 0.0054919054 0.0030001611 0.0037955057 0.0031058714 0.0027509867 0.0019380235 0.0017165351 0.0026754793 0.0019380235 0.001545385 0.0017920425 0.004895397 0.001661163 0.002944789 0.0031134223 0.0060154237 0.0021116906 0.0030932869 0.0028516632 0.002159512 0.0011829494 0.0010067654 0.002534532 0.0018902022 0.0017039506 0.009055856 0.004105086 0.004165492 0.0026981314 0.0031134223 0.005690742 0.0033776981 0.00414284 0.0040471973 0.0049759382 0.00420828 0.0027811895 0.00082806457 0.0021217582 0.0036772108 0.0015604865 0.001049553 0.0023231113 0.008872121 0.0055044903 0.008894773 0.0077697122 0.003755235 0.00910116 0.0039238683 0.002713233 0.0036369401 0.0034481718 0.0021922318 0.001311312 0.002418754 0.006614449 0.0021293089 0.0016007571 0.007752094 0.0030530163 0.0030454656 0.0034834086 0.0027585374 0.0043467097 0.004699078 0.0050287936 0.0027585374 0.004719213 0.0013490657 0.0015579696 0.0014119885 0.0023784833 0.0029095523 0.002597455 0.0008809198 0.0053761275 0.0023835173 0.004593367 0.0039515547 0.0076489006 0.003561433 0.0030228132 0.007918211 0.0035387806 0.0060254913 0.0030429487 0.003495993 0.0030857362 0.004918049 0.0042988886 0.0038835977 0.0024992952 0.004548063 0.0034884424 0.010402404 0.0074978857 0.0036243557 0.0038106074 0.00326192 0.0025143968 0.0034783746 0.0005914747 0.0018222455 0.0019229221 0.0020185648 0.0007223542 0.0047066286 0.0023155606 0.0004052231 0.008459346 0.0012911767 0.0050514457 0.0026075225 0.0007500403 0.0034456549 0.006616966 0.0011678479 0.018302996 0.0018725838 0.0077999155 0.002831528 0.0018272793 0.0013515826 0.0008431661 0.0003171311 0.001573071 0.00076514174 0.0007953447 0.0015655203 0.00037753704 0.0006292284 0.0012886598 0.00032719877 0.0003649525 0.0017995932 0.00026930976 0.00045556139 0.0008431661 0.0017391873 0.001077239 0.001079756 0.0012911767 0.0007248711 0.0009287411 0.00094132574 0.00033726642 0.0014119885 0.0014421915 0.0006820836 0.00033978335 0.0016334769 0.0005663056 0.00078276015 0.0009564272 0.002219918 0.001281109 0.00037753704 0.0013868194 0.0006141269 0.00031209728 0.0014245731 0.00049331505 0.0018297962 0.0030832193 0.0005738563 0.00058140705 0.0009060889 0.0015101482 0.00050841656 0.00070725277 0.005685708 0.0024137201 0.004933151 0.0052628666 0.0018272793 0.0008230308 0.002942272 0.0031989974 0.0015302835 0.0024615414 0.0007475233 0.00045556139 0.005172258 0.0005210011 0.0008683352 0.0009715287 0.0009060889 0.00048324742 0.0013540996 0.0005512041 0.0006846005 0.0008305815 0.00055875484 0.00076765864 0.0011502296 0.00045052756 0.0005184842 0.00061916077 0.0012358046 0.0005461703 0.00040018928 0.00040270618 0.0014296069 0.0005939916 0.00055623794 0.00046814594 0.0012383215 0.0008884705 0.00043542607 0.00030958038 0.0099518765 0.0023231113 0.00040270618 0.0029699581 0.0030379149 0.00082806457 0.0009841132 0.0008305815 0.0026175901 0.0013339643 0.00034733408 0.0006367792 0.0016863322 0.0010822729 0.0018398638 0.0012760753 0.003347495 0.002391068 0.0068384544 0.0013817856 0.0042183474 0.0026553439 0.004354261 0.06109556 0.018087855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012319324 4.1636387e-05 6.0562015e-05 1.6402213e-05 4.2898093e-05 1.892563e-05 8.453448e-05 6.434714e-05 9.841328e-05 1.892563e-05 6.308543e-06 1.766392e-05 1.892563e-05 6.308543e-06 6.813227e-05 3.658955e-05 0.0022761223 5.0468348e-06 0.0 3.785126e-06 0.0 0.0 0.0 6.308543e-06 1.2617086e-05 0.0 0.0 0.0 8.83196e-06 0.0 6.308543e-06 0.00026495883 0.006924257 6.1823725e-05 9.588986e-05 5.4253473e-05 6.939397e-05 5.1730054e-05 0.00016780726 8.7057895e-05 4.4159802e-05 4.4159802e-05 2.0187339e-05 1.892563e-05 1.5140504e-05 7.570252e-06 1.1355378e-05 7.822594e-05 0.004967347 6.687056e-05 4.794493e-05 2.2710756e-05 5.677689e-05 4.1636387e-05 0.009838804 0.007360808 6.434714e-05 5.0468348e-06 2.5234174e-06 1.1355378e-05 1.00936695e-05 3.785126e-06 1.5140504e-05 0.000740623 0.0045522447 4.1636387e-05 7.065568e-05 4.1636387e-05 3.0281008e-05 6.0562015e-05 0.0027644036 0.0021802327 5.5515182e-05 7.696423e-05 4.668322e-05 4.542151e-05 2.7757591e-05 3.658955e-05 9.210473e-05 0.00021322876 0.018776748 0.00020187338 0.0004378129 0.00023972464 0.0011267058 0.00044285975 0.001290728 0.0006737524 0.00047818758 0.00017033066 0.00040248505 0.00018673288 0.00013247941 0.00012743258 0.00011860061 0.0010333394 0.02432322 0.0005072069 0.0023177587 0.000571554 0.0021865412 0.00035580184 0.0043024267 0.0025978582 0.00043276607 0.0005690306 0.0001021984 0.00012364745 0.00014257307 0.000114815484 0.00014131136 0.00255496 0.014315346 0.00026874396 0.0005337028 0.00047187903 0.0017033067 0.00079739984 0.0028047783 0.0016200339 0.000510992 0.00030154837 0.00040248505 0.00024477148 0.00026622054 0.00014761991 0.0002800993 0.0011708656 0.0033889494 5.8038597e-05 0.0013462431 0.006459948 0.011108083 0.007764555 0.013194949 0.009002292 0.00076081033 6.687056e-05 0.0001463582 0.0002460332 5.8038597e-05 3.0281008e-05 3.2804426e-05 0.0005993116 0.02930192 0.0051465095 0.005769794 0.005284036 0.004446261 0.0020124253 0.0042898096 0.0026849161 0.0016742874 0.0012188106 0.002238271 0.0022508882 0.0010144138 0.00070908025 0.0006914163 0.0036185805 0.057475876 0.017694201 0.019463118 0.018451227 0.009274821 0.005378664 0.008073674 0.0045459364 0.004896691 0.0035807292 0.0037258256 0.0038608285 0.002724029 0.0015190972 0.0011355378 0.013910338 0.019316759 0.0043289224 0.00555278 0.00526511 0.0035618036 0.0027707121 0.0027177203 0.0027215055 0.0038532582 0.0013676921 0.0011771742 0.0017827944 0.0027227672 0.0007948764 0.001251615 0.007997971 0.053279433 0.009263465 0.007907128 0.0070832325 0.023846293 0.017838037 0.011697301 0.012016513 0.033447895 0.0038444262 0.004032421 0.0055805375 0.018957173 0.004315044 0.0143090375 0.041315913 0.03751943 0.009041404 0.0068283672 0.006924257 0.016593993 0.01643754 0.006646681 0.010645036 0.023270955 0.002312712 0.0036652635 0.003477269 0.013810663 0.0036740955 0.0091612665 0.023789518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2540.0 19.741339 50143.0 0.0057635163 0.0023732127 0.008994277 0.010250683 0.0062421476 0.002094011 0.009871767 0.008316216 0.0023532696 0.002173783 0.0014159504 0.0074187825 0.0016752089 0.0016752089 0.05605967 0.008854676 0.011048402 0.0100113675 0.013980017 0.014877451 0.015934428 0.01864667 0.018666614 0.017589694 0.008156672 0.007378896 0.0015356082 0.0017150948 0.0047663683 0.0016752089 0.00161538 0.005324771 0.005982889 0.011088287 0.0076979836 0.012344694 0.009452964 0.008814789 0.009512793 0.009074048 0.007678041 0.007857528 0.006521349 0.006680893 0.008116786 0.008276329 0.0074187825 0.0068005505 0.010111082 0.008415931 0.008675189 0.009971482 0.008356102 0.0076979836 0.009054105 0.009732166 0.0063817482 0.00719941 0.0061823186 0.00095726224 0.00107692 0.00061823183 0.0013760645 0.002133897 0.0007378896 0.02247572 0.015395967 0.018187983 0.018227868 0.028019864 0.015056937 0.016133858 0.01904553 0.021279141 0.014678021 0.013242127 0.021059768 0.018008497 0.022096803 0.022236403 0.01723072 0.012863211 0.020421594 0.019623876 0.028159464 0.016074028 0.015715055 0.017410208 0.015176595 0.015675168 0.014239276 0.0003190874 0.00053846 0.0001595437 0.0002792015 0.00051851704 6.1591887 0.0 2.0 0.0 3.0 397312.0 413696.0 0.0 0.0 274.0 0.0 1.0 0.0 0.0 0.0 1481023500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 143360.0 4096.0 4096.0 5.0 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 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143360.0 0.0 151552.0 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 4.618317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3575444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5266695 0.0 6.071889 0.0 -6.000896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141393.0 0.0 149068.0 0.0 -18140.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 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 -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 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 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 160.0 170280.0 149068.0 241664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1124.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.17735223 0.0049824286 0.0031387175 0.0029345867 0.0029623485 0.0026635008 0.006813075 0.0025589857 0.0025279578 0.0024152775 0.0067902124 0.0026553355 0.002431608 0.002671666 0.002436507 0.00240058 0.0024577368 0.002807209 0.0024446724 0.006682431 0.0025573527 0.0024920306 0.0026847303 0.0024414062 0.0027500524 0.0024561037 0.0025132603 0.0024022132 0.0029084578 0.0024463055 0.00270596 0.0026683998 0.0044631194 0.0024708011 0.0025949127 0.002366286 0.0026781983 0.0024414062 0.0026847303 0.002467535 0.002670033 0.0032154708 0.006644871 0.002397314 0.0025099942 0.0026194085 0.0033036554 0.002537756 0.004110381 0.004017297 0.00398137 0.0039650397 0.0050265207 0.0038964518 0.003934012 0.0040842523 0.0039634067 0.003983003 0.0025148934 0.0025426552 0.0026651337 0.0024757003 0.0025050952 0.0024708011 0.0025165265 0.0039928015 0.0040026 0.004206731 0.0040564905 0.0039013508 0.0039144154 0.004043426 0.003979737 0.004005866 0.0039323787 0.0039862692 0.004080986 0.004180602 0.0039438102 0.0037837715 0.004156106 0.004043426 0.004072821 0.0041299774 0.004000967 0.00373478 0.0038637908 0.004014031 0.0038262308 0.0038196985 0.003984636 0.0023630199 0.0023711852 0.0024234427 0.0022993311 0.0024071122 0.0023940478 0.0039879023 0.0039454433 0.004005866 0.004123445 0.004183868 0.0038458272 0.003951975 0.003942177 0.004125078 0.003803368 0.0037837715 0.003844194 0.0041348767 0.004082619 0.0042083636 0.004141409 0.0038539926 0.004254089 0.0039013508 0.0042230613 0.0038833874 0.0037543767 0.0038409282 0.0040956833 0.0039634067 0.0039568744 0.0023826165 0.002429975 0.0023156616 0.0024022132 0.0023940478 0.0037772392 0.0029982754 0.00240058 0.0024185437 0.0025034621 0.0025116273 0.002537756 0.002364653 0.0025491873 0.0022846337 0.0024463055 0.002461003 0.0026308398 0.0025589857 0.0025099942 0.002429975 0.0024169106 0.0065664845 0.0023238268 0.0024218096 0.0024234427 0.0023695522 0.0024103783 0.002361387 0.0025573527 0.002469168 0.0023695522 0.0023254598 0.0024773332 0.0024952968 0.002335258 0.0023564878 0.0034032713 0.0023515886 0.002506728 0.0025050952 0.0023368911 0.0023924147 0.0026063442 0.0037886705 0.008088485 0.005379259 0.0027631167 0.0026651337 0.0026847303 0.0027696488 0.002772915 0.002741887 0.0025606188 0.002436507 0.0026292067 0.0025214255 0.0025802152 0.0023711852 0.0024642688 0.0023401573 0.002710859 0.0023809834 0.0023238268 0.0024152775 0.0026618678 0.0023858827 0.0023581209 0.0023744514 0.0025410221 0.0023858827 0.0023091293 0.0024773332 0.0024969298 0.0023956809 0.0023907819 0.0023140286 0.0024805993 0.0023466896 0.0022405414 0.0023123955 0.00243814 0.0024250757 0.002361387 0.00274352 0.0024805993 0.0023760844 0.0023238268 0.0026177755 0.0029002926 0.0023744514 0.002359754 0.0024054793 0.0025410221 0.0032824257 0.002433241 0.0023401573 0.0025491873 0.0024871316 0.0023777173 0.0023450565 0.0025965457 0.0025050952 0.004425559 0.002431608 0.00243814 0.0024773332 0.0025295909 0.0031746447 0.0025214255 0.002366286 0.002506728 0.0024169106 0.002632473 0.002461003 0.002634106 0.0024969298 0.010814042 0.018995611 0.0024561037 0.0025491873 0.0024218096 0.0023809834 0.0022683032 0.0022503396 0.0024234427 0.0024071122 0.0023826165 0.0023711852 0.0023483224 0.0023336252 0.0024218096 0.028824924 0.048393007 2.6172529e-05 3.2715661e-06 1.6357831e-06 3.2715661e-06 0.0 8.996807e-06 0.0 1.6357831e-06 0.0 2.2083072e-05 8.1789153e-07 1.6357831e-06 0.0 8.1789153e-07 0.000112869035 0.0063092154 5.3980842e-05 8.996807e-06 1.553994e-05 2.4536746e-06 4.907349e-06 2.4536746e-06 8.178916e-06 4.907349e-06 5.725241e-06 5.3980842e-05 5.725241e-06 1.6357831e-06 0.0 7.361024e-06 0.00021510548 0.0030360133 7.851759e-05 0.0 2.4536746e-06 2.4536746e-06 1.6357831e-06 8.996807e-06 0.0 0.0 0.0 7.6881806e-05 1.6357831e-06 1.6357831e-06 0.0 0.0 0.00013985945 0.015296208 0.00014885626 0.0037516686 5.725241e-06 8.1789153e-07 1.6357831e-06 1.1450482e-05 1.6357831e-06 1.6357831e-06 0.0 0.00028789783 8.1789153e-07 2.4536746e-05 0.0 7.442813e-05 0.0004931886 0.0040461095 8.178916e-06 9.814698e-06 2.0447289e-05 1.553994e-05 9.814698e-06 3.680512e-05 1.1450482e-05 3.0261986e-05 8.1789153e-07 0.00032388506 2.6172529e-05 8.833229e-05 1.3904156e-05 3.189777e-05 0.005376819 0.0051535345 3.4351444e-05 0.00022573807 0.00024700325 1.553994e-05 1.2268373e-05 1.7993614e-05 9.8964876e-05 1.7175722e-05 2.2083072e-05 0.0027342115 0.00010550801 0.00015621728 0.00032961028 0.00027890102 0.010651401 0.007639107 2.6990421e-05 0.00056516303 0.00044902245 5.4798733e-05 7.442813e-05 0.00020283711 0.00022573807 0.00013658789 6.379554e-05 0.003575004 0.000114504815 0.00014885626 0.0008129842 0.0007459171 0.013639977 0.0047421353 0.00019874764 0.00058070297 0.0004432972 0.00013413421 9.2421746e-05 0.00016357831 0.00015212783 5.5616623e-05 9.078596e-05 0.0029468632 0.0007851759 0.00015948885 0.00059460715 0.00076063914 0.013225306 0.014668885 0.001877879 0.001523732 0.0010796168 0.0005103643 0.00028462627 0.00049891387 0.00048828125 0.0015417256 0.0016284221 0.002879796 0.0004653803 0.00035578283 0.0008309778 0.0017298406 0.0064866976 0.052328702 0.004805931 0.0019784796 0.013351262 0.020078419 0.014328642 0.018812323 0.013778201 0.0011483197 0.0037917453 0.0013405243 0.00064122694 0.00065676693 0.0006297765 0.0007271056 0.0023563455 0.016393818 0.001100882 0.0006960257 0.0030351954 0.004125445 0.0032732019 0.0042563076 0.0034179688 0.00039422372 0.0002780831 0.0003369713 0.00022819174 0.00026663265 0.00021837704 0.00029362307 0.00021101601 0.0023817 0.0002314633 0.00015212783 0.00039258794 0.0005520768 0.0004915528 0.0007729075 0.00058561034 0.0009781983 0.00017911824 0.0006085113 8.342494e-05 7.6063916e-05 7.361024e-05 0.0007459171 7.0338676e-05 0.001131144 6.215976e-05 8.2607046e-05 0.0004236678 0.0005790672 0.00045883717 0.00076800014 0.0005381726 0.00028626205 5.4798733e-05 0.00017257512 6.624922e-05 5.2345058e-05 5.316295e-05 0.00023064541 6.5431326e-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 0.0015286393 0.00026745052 0.00018811505 0.0002118339 0.00025518215 0.0002527285 0.00025927162 0.00025600006 0.00024945693 0.00022655596 0.00017584668 0.00026663265 0.00017339301 0.000203655 0.00018320771 0.00032715662 0.04440824 0.03648614 0.038256876 0.036491867 0.03622769 0.036253862 0.036562204 0.036256313 0.036549937 0.03635528 0.0362465 0.036725786 0.03650577 0.036450155 0.03681984 0.036368366 4308.0 11.304317 48699.0 0.0018686216 0.0020739646 0.0018480872 0.0020944988 0.0019302245 0.0019918273 0.0015400727 0.0017864843 0.0020123615 0.001971293 0.0018070186 0.0017864843 0.0019507587 0.0022793077 0.0024025133 0.0018480872 0.015072178 0.013716914 0.015585535 0.015318589 0.014620423 0.014723095 0.014620423 0.015215918 0.014065998 0.01470256 0.002443582 0.0022587732 0.0019302245 0.0022177047 0.0017248815 0.0021561019 0.00176595 0.01570874 0.016160496 0.01632477 0.014969506 0.014312409 0.015051643 0.014723095 0.013860654 0.014764164 0.014538286 0.014456149 0.01470256 0.015359659 0.015236452 0.014107066 0.015256987 0.014805232 0.014250806 0.016160496 0.014682027 0.013922257 0.014661492 0.0149489725 0.015092713 0.014374012 0.014764164 0.0019302245 0.0019302245 0.0021561019 0.0019096901 0.0017864843 0.0019507587 0.01560607 0.014805232 0.015955154 0.014620423 0.017413089 0.014312409 0.01455882 0.015154315 0.01570874 0.0141276 0.014209737 0.0149489725 0.016694387 0.016201565 0.017454157 0.014846301 0.014538286 0.016160496 0.015523933 0.016735457 0.014907904 0.014538286 0.014476683 0.014168669 0.015873017 0.015318589 0.0016427442 0.00176595 0.0018891558 0.0019918273 0.0016632786 6.246232 0.0 0.0 0.0 18.0 612352.0 638976.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1490049400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 502784.0 512.0 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 -502784.0 0.0 107520.0 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 -7.5733385 0.0 3.3076243 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 -502388.0 0.0 107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 510488.0 107520.0 516096.0 0.0 0.0 0.0 0.0 12.0 630784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0