Input: 0.22187284 0.007764193 0.006084454 0.0047757295 0.0065688076 0.002973933 0.003372072 0.0040511363 0.008885957 0.002174749 0.0020313803 0.0022532144 0.0041421945 0.0021476252 0.0036452475 0.0047892914 0.012176657 0.0023946457 0.0038244585 0.0026348853 0.003647185 0.004299125 0.0042545646 0.0022968063 0.0020962837 0.0035522517 0.0020827218 0.0026552281 0.0029458406 0.00410054 0.0023743028 0.003129895 0.010139465 0.0027830976 0.0026164798 0.0035454708 0.0034640993 0.0024944227 0.0029003113 0.0024479246 0.002470205 0.0021272823 0.0031754242 0.003106646 0.0011256385 0.0007274996 0.0031405508 0.001810515 0.0015189339 0.0027278813 0.00066647097 0.003521253 0.0009832385 0.0012031351 0.0007972465 0.0006296601 0.0013232549 0.0017243 0.0007139377 0.0026009805 0.0009890507 0.0014104386 0.0010297365 0.0006044737 0.006627899 0.001531527 0.0016303352 0.0014753421 0.0016051489 0.0069979453 0.002364616 0.0019558212 0.0013881583 0.0007827159 0.00063740974 0.00045916752 0.00083599484 0.002724975 0.0013077556 0.00078368466 0.00625204 0.002085628 0.0011207949 0.0029070922 0.00083986967 0.002980714 0.0035125345 0.00312602 0.00058219343 0.000994863 0.0005250396 0.0010481419 0.0006054424 0.002141813 0.0022222158 0.0014617802 0.0006994071 0.0027201315 0.0007197499 0.0019538838 0.0020255682 0.0057570306 0.0027530678 0.0015373393 0.0044899606 0.0029468092 0.0037188693 0.0013581284 0.0025380144 0.0012031351 0.0033953208 0.0032732638 0.0022609641 0.00075559213 0.0027608173 0.0025380144 0.008160395 0.0069853524 0.0015770564 0.0022522458 0.0010888276 0.0011973229 0.0005744437 0.00046207363 0.0011711678 0.0014375624 0.0011333881 0.0008292139 0.003437944 0.0011924794 0.0007333118 0.0040094815 0.0015179652 0.005477074 0.0005909118 0.00052213355 0.0015654318 0.004326249 0.0005434451 0.017365057 0.0011091705 0.0051167146 0.00033711034 0.00061222335 0.00063644105 0.00029061234 0.00021795926 0.00025864498 0.00067518937 0.00045916752 0.000384577 0.0002848001 0.00051147776 0.000971614 0.00044948043 0.0003719838 0.0012593202 0.0004678859 0.00034873481 0.0003564845 0.0006703458 0.000838901 0.00035164095 0.00041073211 0.0005095403 0.00065678393 0.00040007633 0.00037682735 0.0006538778 0.00031483005 0.00039813892 0.0004581988 0.0005211648 0.00061222335 0.00031773618 0.00030320554 0.000722656 0.00032936066 0.00046401104 0.0004330124 0.00088346156 0.0011246698 0.00052794575 0.000580256 0.0017543299 0.0004465743 0.0003962015 0.0006703458 0.0006819703 0.0006064111 0.00061125465 0.00067712675 0.005566195 0.0011847296 0.0025351085 0.0015334645 0.0007788411 0.00038845185 0.0015906183 0.0018986673 0.0009890507 0.0017310809 0.00037295252 0.00076140434 0.015132185 0.0007933717 0.0034224447 0.00080887106 0.0010403922 0.00063547236 0.0006529091 0.000603505 0.00085924385 0.0004804791 0.0015770564 0.0009367405 0.0012128222 0.00042526273 0.00047951037 0.0008679622 0.00064612814 0.0007178125 0.00065097166 0.00043979337 0.0011207949 0.00042913758 0.0003564845 0.00050275936 0.0010103623 0.0006345036 0.00057831855 0.0008137146 0.0067354254 0.0012544766 0.0004901662 0.0022764634 0.003584219 0.00034389127 0.000407826 0.000769154 0.0019616333 0.0019916634 0.0004911349 0.00079046556 0.0012506018 0.0004921036 0.0016535843 0.0012816004 0.0029090296 0.0010403922 0.0009987378 0.0012544766 0.0039542653 0.0019877884 0.003587125 0.26792327 0.0059902943 0.0 1.9395482e-06 7.2733055e-06 1.9395482e-06 9.697741e-07 0.0 4.3639834e-06 8.24308e-06 6.3035313e-06 4.8488705e-06 2.4244353e-06 5.3337576e-06 2.9093223e-06 1.1637289e-05 0.018777736 0.015446077 0.00027881004 5.2852687e-05 0.00012655552 1.5516385e-05 1.4546611e-05 0.00015807318 4.2185173e-05 8.97041e-05 1.8910594e-05 1.6001273e-05 6.8369074e-05 0.00011103913 4.7034042e-05 4.5094494e-05 0.012267642 0.0051577436 0.000105705374 0.00016728602 0.00013528348 6.6914414e-05 4.1215397e-05 6.2550425e-05 4.267006e-05 0.00011152402 5.042825e-05 5.8186444e-05 5.7216672e-05 0.00020898631 0.00016971046 0.00013382883 0.01627087 0.0030688501 0.00017504422 0.000117342664 0.00017116513 0.00018862105 0.0001236462 0.00013916258 8.243079e-05 0.00012607063 0.00010231117 0.00012558575 0.00012849507 0.00030547884 0.00022644225 0.00026280878 0.023454957 0.0077101886 0.0016107948 0.00072393636 0.0002395342 0.00019201527 9.3098315e-05 0.00027590073 0.00028171937 0.00029772063 0.00018910595 0.00019928858 0.00018668151 0.0006744779 0.00043542855 0.00041651796 0.025202489 0.032440882 0.011167433 0.008847734 0.0003709386 0.00040245624 0.0002691123 0.0005062221 0.0003665746 0.0003588164 0.00024777727 0.00031517658 0.00038403054 0.00074236206 0.00057847024 0.0004819777 0.024943074 0.03854949 0.01339452 0.010968145 0.0013067706 0.0008965561 0.0007200572 0.0013591384 0.0009620159 0.0008635838 0.0006919338 0.0006162914 0.0008204289 0.0014110213 0.0010391129 0.001232098 0.051286016 0.0539335 0.010358157 0.011654745 0.0019763997 0.002042829 0.0009925638 0.011109247 0.0059447153 0.0019332446 0.00105172 0.0007030862 0.0011680928 0.0023061228 0.001279132 0.0011748814 0.03636362 0.033193428 0.0028913815 0.0060029016 0.0029093223 0.002137382 0.0014144155 0.007463381 0.0042864014 0.002219328 0.0010061406 0.0007821228 0.0012611912 0.0018833013 0.0009857754 0.0007966694 0.029078675 0.008819611 0.0009688043 0.0013528349 0.0019448819 0.0016733452 0.0007404225 0.003944071 0.0021058645 0.0006390811 0.00041457842 0.00023517021 0.00023904932 0.00041651796 0.00025262614 0.0002729914 0.003785513 0.0048828125 0.00033166274 0.00036318038 0.00032341966 0.00036124085 0.00012122176 0.00044027742 0.00055083167 0.00046888576 8.921922e-05 9.018899e-05 0.00023468533 0.0002691123 0.00046064268 6.158066e-05 0.00088152464 0.0061934623 0.00054161885 0.00069775246 0.00058283424 0.0013271358 0.000605139 0.0021984777 0.0011583951 0.0003258441 0.00032051033 0.00025941458 0.00029432643 0.00029335666 0.00023759465 0.00023662488 0.0016093401 0.009947943 0.0014662984 0.0010492955 0.0010459013 0.002146595 0.0008354604 0.0016941953 0.0011069971 0.0008820095 0.0005639236 0.00052610243 0.0007743646 0.0009605612 0.0006870849 0.0006778721 0.0014546611 0.038207643 0.008381273 0.0036604123 0.0067292624 0.012296735 0.016234988 0.0067961765 0.010475014 0.02487422 0.0019283957 0.0021621112 0.0032002544 0.018798586 0.0032468035 0.009303043 0.031321764 0.02354563 0.0068398165 0.0024176468 0.004554059 0.009334075 0.010207357 0.0049201488 0.007792135 0.015309338 0.0012519783 0.0017063175 0.0020961666 0.01114125 0.002587842 0.0062181912 0.017188275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3837.0 12.573886 48246.0 0.057579905 0.02300709 0.027111055 0.03546408 0.028893586 0.024976164 0.030116485 0.02578452 0.017162044 0.022965634 0.052211583 0.033391368 0.0033370643 0.005451229 0.028520498 0.016664594 0.0055548646 0.044521827 0.0037516064 0.006611947 0.0026323425 0.0026530698 0.004642872 0.0032541559 0.007938482 0.004021059 0.00516105 0.014840608 0.005389048 0.007503213 0.012270447 0.0013887162 0.005409775 0.007399577 0.010114828 0.008394478 0.006777764 0.005057414 0.004995233 0.02271691 0.0043734196 0.005098868 0.0021970733 0.0014508974 0.003917423 0.004829416 0.004062513 0.002715251 0.0064875847 0.0020727108 0.005119595 0.009700286 0.0037308792 0.0020105294 0.0059072254 0.009037019 0.0011192638 0.00082908425 0.004041786 0.0015130788 0.0030676117 0.0018654396 0.0013887162 0.0032334286 0.0009119927 0.014654065 0.0030468847 0.009306471 0.009575923 0.03560917 0.003896696 0.00501596 0.007420304 0.014882063 0.0029639762 0.014529702 0.014094433 0.006404676 0.015897691 0.017182771 0.0068399454 0.0007047216 0.016498778 0.0127886245 0.026281971 0.007689757 0.0044148737 0.007979936 0.0030468847 0.0036272437 0.0010778096 0.0010570824 0.0020105294 0.0012850807 0.0030468847 0.00084981136 5.9006786 0.0 0.0 7.0 2.0 1032303.0 1036288.0 1.0 0.0 446.0 0.0 1.0 0.0 0.0 0.0 1091599200.0 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 -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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 348160.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -348160.0 0.0 675840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6686847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4774327 0.0 4.232521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345516.0 0.0 672040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 -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 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 3.0 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 2.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 -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 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 -1.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 -1.0 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 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 339652.0 672040.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 5984.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 28408.0 360.0 584.0 1876.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.96740294 0.00021418533 0.00014920776 0.00012754857 0.00023985548 0.00012915295 0.00012995514 0.000116317875 0.00020054806 0.00011150472 0.000102680606 0.000102680606 0.00023103136 0.00010508718 0.00012514199 0.00019092175 0.00017247134 0.00012113103 0.00012273541 0.00011471349 0.00013236172 0.00017407571 0.00010027403 0.00010027403 0.00010829595 0.000109098146 0.000113911294 9.786745e-05 0.00012193322 0.00010829595 9.866965e-05 0.00010749376 0.000116317875 0.00012193322 0.00011872445 0.00011471349 0.00010107622 0.00010027403 0.000109900335 0.000113911294 0.000105889376 9.064772e-05 0.00010829595 9.385649e-05 0.00010508718 0.0001339661 0.00012514199 0.000106691565 0.00012594418 0.000103482795 0.000116317875 0.0001644494 0.00012193322 0.000113911294 0.00013797707 9.6263066e-05 0.000116317875 0.00011471349 0.00011230691 0.0001435924 0.00010428499 9.225211e-05 9.546088e-05 8.824115e-05 0.0002887892 0.00013075734 0.000109900335 0.0001331639 0.00012754857 0.00021739409 0.00015642749 0.00012835076 0.00013155953 0.00012273541 9.385649e-05 0.000117120064 9.9471836e-05 0.00014198803 0.00012915295 0.000113109105 0.00035456897 0.00012754857 0.00013877926 0.00021899848 0.00014038364 0.00016765817 0.00018851517 0.00018370202 9.866965e-05 0.0001331639 9.786745e-05 0.00012674637 0.0001243398 0.00017247134 0.00013637268 0.000120328834 0.00010428499 0.00016124063 0.000116317875 0.0001347683 0.00013557049 0.00025589933 0.0001652516 9.866965e-05 0.00019011956 0.00019011956 0.0001556253 9.465868e-05 0.00016364722 0.00014840557 0.00013797707 0.0001548231 0.00011792226 0.00010749376 0.00019493271 0.00015642749 0.0002984155 0.0003096462 0.000116317875 0.00010829595 0.00010428499 0.000103482795 9.385649e-05 0.00010749376 0.000102680606 0.00012113103 9.866965e-05 0.00010829595 0.00015161434 9.546088e-05 8.503238e-05 0.00022060286 0.00019172394 0.00028397606 9.225211e-05 9.786745e-05 7.701045e-05 0.0002077678 0.00011551568 0.00034333827 9.786745e-05 0.00025269054 7.9417034e-05 9.866965e-05 0.00011872445 8.743895e-05 0.00010107622 9.546088e-05 0.00010749376 0.00011551568 0.00010187842 9.225211e-05 0.00010027403 0.00010027403 9.6263066e-05 9.3054296e-05 9.786745e-05 8.583457e-05 9.866965e-05 9.064772e-05 0.00010428499 0.00011471349 9.144992e-05 0.00011150472 0.000109098146 7.861484e-05 7.701045e-05 0.00010107622 0.000109098146 9.144992e-05 0.000103482795 9.866965e-05 0.000109900335 8.663676e-05 0.00010027403 9.546088e-05 0.00011070253 9.225211e-05 0.00011792226 8.423018e-05 0.000116317875 9.385649e-05 9.064772e-05 0.00011070253 0.00011551568 0.000105889376 0.00010428499 0.000109098146 9.866965e-05 9.546088e-05 0.000120328834 0.000113911294 0.00027434973 0.00011230691 0.00010749376 0.0001660538 0.0001660538 8.182361e-05 0.00010829595 0.00013557049 9.465868e-05 0.000117120064 9.786745e-05 9.866965e-05 0.00010829595 0.000109900335 0.00010749376 0.00011070253 0.00010107622 0.000102680606 0.00010508718 0.00012594418 0.00011230691 0.000105889376 0.00010829595 9.546088e-05 0.00010508718 9.546088e-05 9.546088e-05 0.000119526645 9.3054296e-05 9.546088e-05 0.00010508718 0.00010107622 0.000117120064 9.9471836e-05 0.000105889376 7.781265e-05 0.000116317875 0.000113911294 0.00010027403 8.904334e-05 0.00024145986 0.00013155953 9.225211e-05 0.00013557049 0.00019092175 8.743895e-05 9.064772e-05 0.00010829595 0.00012835076 0.000103482795 0.00010107622 0.000102680606 0.00011872445 9.144992e-05 0.00010749376 0.000113109105 0.00015081213 0.00011070253 0.00012193322 0.0001331639 0.00017808667 0.00015241653 0.00012754857 0.00063694065 0.96299344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00080028333 4.0154708e-07 8.0309417e-07 1.6061883e-06 1.2046412e-06 1.6061883e-06 4.0154708e-07 2.4092824e-06 2.0077355e-06 8.0309417e-07 1.2046412e-06 1.6061883e-06 8.0309417e-07 2.0077355e-06 4.015471e-06 1.2046412e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054008083 1.1243318e-05 3.7745427e-05 5.0996478e-05 5.220112e-05 1.5258789e-05 5.8224326e-05 3.573769e-05 8.0309417e-07 1.6061883e-06 8.0309417e-07 4.417018e-06 1.6061883e-06 5.220112e-06 4.015471e-06 2.4092824e-06 0.00040315327 8.030942e-06 3.2123767e-06 5.621659e-06 5.0193386e-05 4.6177913e-05 0.00018832558 8.6734166e-05 8.432488e-06 2.4092824e-06 2.8108295e-06 3.6139238e-06 2.8108295e-06 3.6139238e-06 5.220112e-06 2.0077355e-06 0.00080710964 1.4054148e-05 4.4571727e-05 5.8625872e-05 0.00010480379 0.00011925949 0.0002951371 0.00015740645 2.8108295e-06 3.2123767e-06 4.818565e-06 6.0232064e-06 5.220112e-06 6.0232064e-06 8.432488e-06 7.2278476e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00079907867 5.0996478e-05 3.2926862e-05 4.7382557e-05 5.3807307e-05 0.00013491981 4.4571727e-05 6.304289e-05 8.151406e-05 3.8146973e-05 3.0517578e-05 3.8950067e-05 6.023206e-05 3.4934597e-05 5.4208856e-05 7.9506324e-05 0.00068102387 6.22398e-05 4.7382557e-05 5.1398027e-05 8.6734166e-05 9.436356e-05 0.00014656468 0.00011082699 7.9506324e-05 2.9714483e-05 2.610056e-05 3.4131503e-05 5.220112e-05 3.5336143e-05 4.8587197e-05 5.8625872e-05 0.0011753283 0.0002883108 6.023206e-05 0.00014536004 0.0003429212 0.0006645604 0.0002116153 0.00032284384 0.00082919473 3.1320673e-05 3.6139238e-05 8.9545e-05 0.0003650063 8.713572e-05 0.00030638042 0.00080068485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015323036 0.0014616314 0.001531099 0.0014829134 0.0015443501 0.0014511911 0.0014487818 0.0014596237 0.0014885351 0.0014756855 0.0014813072 0.0014997784 0.0015094155 0.0014893381 0.0014656469 0.0015270836 232.0 8.577586 1990.0 0.0055276384 0.0050251256 0.003517588 0.0040201005 0.0090452265 0.0030150753 0.0065326635 0.0050251256 0.003517588 0.0025125628 0.008040201 0.0025125628 0.0060301507 0.0025125628 0.018592965 0.0045226132 0.0055276384 0.0040201005 0.0065326635 0.008542714 0.0040201005 0.0025125628 0.008542714 0.003517588 0.0040201005 0.0065326635 0.0055276384 0.0025125628 0.0025125628 0.0025125628 0.0025125628 0.0030150753 0.008040201 0.008040201 0.0050251256 0.009547738 0.010552764 0.011055277 0.01758794 0.011055277 0.0045226132 0.011055277 0.0050251256 0.0060301507 0.012060301 0.0065326635 0.0090452265 0.0060301507 0.011557789 0.0050251256 0.012562814 0.017085427 0.013567839 0.0015075377 0.0065326635 0.019095477 0.0030150753 0.0045226132 0.0040201005 0.0050251256 0.010552764 0.0060301507 0.0055276384 0.0040201005 0.003517588 0.03165829 0.008040201 0.02361809 0.022110553 0.075879395 0.0075376886 0.0075376886 0.0075376886 0.042211056 0.0055276384 0.0055276384 0.031155778 0.01758794 0.027135678 0.036683418 0.010050251 0.0060301507 0.041708544 0.026633166 0.04723618 0.016080402 0.007035176 0.0050251256 0.009547738 0.014070352 0.0050251256 0.0045226132 0.0055276384 0.0040201005 0.0065326635 0.0045226132 6.0158777 1.0 0.0 0.0 2.0 1246584.0 1241088.0 1.0 0.0 56.0 1.0 1.0 1.0 0.0 0.0 1474774500.0 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 -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 14.0 0.0 5.0 1.0 5.0 1.0 10752.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 -2048.0 1210880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.098369 -5.095424 0.37387127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10274.0 -1652.0 1210608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20716.0 1210608.0 24576.0 0.0 0.0 21368.0 1225216.0 408.0 1236992.0 84.0 5792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 236.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.1360677 0.0072558844 0.0056357346 0.0058693145 0.007032244 0.00367267 0.0033148457 0.025002982 0.009750715 0.0024252546 0.0026339854 0.0023556775 0.005625795 0.0026737435 0.0018586991 0.007146549 0.0061923503 0.0015803912 0.001699666 0.0015306934 0.0033396946 0.00321545 0.0015754214 0.0011877783 0.0028427162 0.0017344545 0.0013915395 0.0014511768 0.0022016142 0.0014114185 0.0013716603 0.0017394243 0.004900207 0.0016449984 0.0028327766 0.0015654819 0.0041944976 0.0014561466 0.001033715 0.0009740776 0.0021071883 0.0012623251 0.002002823 0.0043535307 0.0013368718 0.0012623251 0.0012126273 0.0011231711 0.00344903 0.001471056 0.001172869 0.0057550096 0.0019332459 0.0022861005 0.0014511768 0.0012424459 0.0016002704 0.0021022186 0.0014362675 0.0041447994 0.0016847567 0.0019034272 0.0012076574 0.0010038964 0.004154739 0.009377982 0.0028079278 0.004706385 0.0032899969 0.00780753 0.003036538 0.046303473 0.002713502 0.0018885178 0.0016946963 0.0009243798 0.0017593034 0.003950978 0.0016002704 0.0012026876 0.0055512483 0.002365617 0.0015953006 0.0028476862 0.0015704517 0.0038068544 0.0041944976 0.0032701178 0.0019034272 0.0045622615 0.0010138359 0.001928276 0.0014064488 0.0044429866 0.0030116888 0.0023954357 0.001699666 0.0018736084 0.0013865697 0.0014064488 0.002345738 0.0030812658 0.0052729407 0.0010088661 0.004512564 0.0019879134 0.0053872457 0.0008398935 0.0020624602 0.0013070531 0.0020574904 0.0020574904 0.0019580948 0.0010138359 0.0038068544 0.0020376113 0.009621501 0.010307332 0.0021767654 0.0012275366 0.001724515 0.001630089 0.0012623251 0.0010138359 0.0016897265 0.0030017493 0.0018537294 0.0018885178 0.0031160545 0.002892414 0.0023308285 0.011355956 0.002499801 0.0092437975 0.0011430503 0.00095916825 0.0032353292 0.009268647 0.002574348 0.04511073 0.001679787 0.00689309 0.0012722646 0.0011529898 0.0025445293 0.0010486244 0.001331902 0.0009392891 0.0013517812 0.0014511768 0.00092934957 0.00079516537 0.0014412373 0.0012225668 0.00095916825 0.0009492287 0.0012026876 0.0010834129 0.00089953083 0.00079516537 0.0018537294 0.0020177322 0.0012523854 0.0017791826 0.0010386847 0.001078443 0.0008001352 0.0007852258 0.001883548 0.0013865697 0.0011231711 0.0012076574 0.0012474157 0.000735528 0.0008398935 0.0009840172 0.0015356631 0.0014611164 0.0010734732 0.0011629293 0.0011678992 0.0012424459 0.0017493638 0.0016151797 0.002042581 0.0010883827 0.0011977179 0.0010933524 0.0012672949 0.001128141 0.0014660863 0.0010983222 0.007559041 0.004154739 0.0032005408 0.005148696 0.003106115 0.0009442589 0.0028128976 0.0037770355 0.0026985926 0.0025892572 0.0016251192 0.0012126273 0.028536499 0.0010486244 0.0012424459 0.0012623251 0.0022364026 0.0015754214 0.0019481552 0.0014660863 0.0014809956 0.0016449984 0.0017891221 0.0010685035 0.0023507078 0.0011231711 0.0010038964 0.0018785782 0.0016350589 0.0011977179 0.0010237754 0.0010436546 0.025375716 0.0011927481 0.0015953006 0.0009541985 0.0023407682 0.0020823395 0.0010933524 0.00085977255 0.034291506 0.002479922 0.0016151797 0.004452926 0.003975827 0.0008796517 0.001103292 0.0013120229 0.0045175334 0.0013965092 0.0012076574 0.0012971136 0.0018388199 0.0008299539 0.0031657522 0.0022910703 0.004005646 0.0024202848 0.0016648775 0.0026041667 0.0040354645 0.0018040314 0.002966961 0.06040772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004266827 0.00017277645 0.00015024039 2.5040065e-06 0.00014773638 7.011218e-05 8.2632214e-05 6.510417e-05 3.0048077e-05 7.5120192e-06 4.0064104e-05 1.50240385e-05 1.0016026e-05 1.0016026e-05 1.2520032e-05 4.5072116e-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 0.009467648 0.0002679287 0.0006059696 0.00020032052 0.00060096156 0.0003054888 0.002366286 0.0012419872 8.513622e-05 2.754407e-05 1.0016026e-05 1.7528046e-05 6.2600164e-05 1.50240385e-05 1.7528046e-05 9.264824e-05 0.00919972 0.0002654247 0.00064853765 0.00029046476 0.0008163061 0.0002729367 0.001920573 0.0010566907 8.764023e-05 9.014423e-05 9.264824e-05 5.2584135e-05 0.00010516827 8.2632214e-05 7.261619e-05 0.00033052886 0.0016651643 9.264824e-05 2.2536058e-05 4.256811e-05 0.00048327324 0.00025290466 0.0016150841 0.000783754 1.0016026e-05 7.5120192e-06 2.2536058e-05 2.0032052e-05 4.5072116e-05 2.754407e-05 2.754407e-05 1.0016026e-05 0.005516326 0.0004957933 0.0004657452 0.00022285657 0.00036057693 0.00026041668 0.00045322516 0.0003130008 0.00048327324 0.00016776843 0.00019781651 0.00017778446 0.00026041668 0.00017277645 0.00029547277 0.00041316106 0.0044546276 0.000390625 0.00045322516 0.00017277645 0.0006560497 0.0003104968 0.0013646835 0.0006961138 0.00028796075 8.513622e-05 0.000102664264 0.00013271235 0.00024288862 0.00018279247 0.0001552484 0.00056840945 0.006638121 0.0005258414 0.0008112981 0.0004281851 0.0010767228 0.00032802485 0.0006610577 0.00044070513 0.00065354566 0.00057341746 0.00028044873 0.00028295274 0.0004732572 0.00030048078 0.0008388421 0.0010717148 0.012359776 0.0020257412 0.0019255809 0.0025565906 0.004652444 0.0038110977 0.0014973958 0.003195112 0.006665665 0.00033804087 0.00057341746 0.0009765625 0.0034029447 0.0010316507 0.0036182893 0.007779948 0.16877253 0.02920673 0.026544971 0.02914413 0.08755509 0.039142627 0.026647637 0.037209537 0.09517478 0.016992187 0.017675782 0.019145632 0.065404646 0.02188752 0.08016326 0.08548678 0.0026141827 0.0012319712 0.001567508 0.0008388421 0.0014523237 0.0013621795 0.0010341547 0.0010291466 0.002005709 0.00079377 0.001161859 0.00071113784 0.0014423077 0.00092898635 0.0010491787 0.0012895633 489.0 8.603272 4207.0 0.030187782 0.003327787 0.007844069 0.003565486 0.009983361 0.003327787 0.0021392917 0.0019015926 0.0042785835 0.003090088 0.0040408843 0.007844069 0.0038031852 0.0052293795 0.0049916804 0.0038031852 0.0076063704 0.0047539813 0.003090088 0.009270264 0.0042785835 0.0045162826 0.0026146898 0.0026146898 0.002852389 0.0054670786 0.0045162826 0.008319467 0.007130972 0.0054670786 0.0054670786 0.0023769906 0.007844069 0.021392917 0.006655574 0.011647254 0.010696459 0.017352032 0.011647254 0.04326123 0.0076063704 0.01022106 0.0054670786 0.0049916804 0.007130972 0.011647254 0.0049916804 0.0038031852 0.019491324 0.008794866 0.007844069 0.015688138 0.006417875 0.008081769 0.009745662 0.012598051 0.0045162826 0.007844069 0.002852389 0.0045162826 0.0042785835 0.007844069 0.0054670786 0.003327787 0.0040408843 0.026384598 0.0073686712 0.018540528 0.019491324 0.06512955 0.010934157 0.007130972 0.01283575 0.024245305 0.008319467 0.0047539813 0.024007607 0.011647254 0.0256715 0.025909198 0.010696459 0.003327787 0.03304017 0.025909198 0.050392203 0.027097695 0.008319467 0.0052293795 0.006893273 0.0121226525 0.0042785835 0.002852389 0.003327787 0.006417875 0.002852389 0.0054670786 6.0657167 1.0 0.0 0.0 4.0 201216.0 286720.0 1.0 0.0 85.0 0.0 1.0 0.0 0.0 0.0 1322917100.0 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 10.0 0.0 5.0 1.0 5.0 1.0 185344.0 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 9216.0 0.0 0.0 0.0 0.0 0.0 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 -185344.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9342494 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.87083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7126184 0.0 4.119047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8898.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -185140.0 0.0 1216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 199404.0 1216.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 192928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 198840.0 0.0 0.0 356.0 192512.0 0.0 0.0 0.0 0.0


Input: 0.39171007 0.0087890625 0.006293403 0.0072699655 0.0085720485 0.15397136 0.0009765625 0.00086805556 0.0034722222 0.0006510417 0.0011935764 0.0007595486 0.00054253475 0.0030381945 0.0007595486 0.008463542 0.0023871528 0.000108506945 0.0011935764 0.00021701389 0.0015190972 0.00086805556 0.0007595486 0.000108506945 0.00054253475 0.00032552084 0.0007595486 0.00021701389 0.00032552084 0.00021701389 0.002170139 0.00032552084 0.03765191 0.0010850695 0.00043402778 0.00032552084 0.00043402778 0.001844618 0.001953125 0.00021701389 0.00086805556 0.00043402778 0.00021701389 0.000108506945 0.00032552084 0.0006510417 0.0046657985 0.000108506945 0.0024956597 0.0026041667 0.0014105903 0.0014105903 0.00054253475 0.0 0.00021701389 0.00032552084 0.00086805556 0.0006510417 0.0015190972 0.000108506945 0.0016276041 0.00032552084 0.0013020834 0.0006510417 0.0013020834 0.007703993 0.00086805556 0.0013020834 0.014322917 0.00054253475 0.0010850695 0.0064019095 0.0007595486 0.007703993 0.00054253475 0.000108506945 0.0014105903 0.0011935764 0.0072699655 0.0007595486 0.0131293405 0.00032552084 0.00043402778 0.002061632 0.0009765625 0.00032552084 0.0007595486 0.000108506945 0.0069444445 0.0 0.0009765625 0.000108506945 0.0 0.000108506945 0.0 0.00054253475 0.00054253475 0.0022786458 0.00043402778 0.0013020834 0.0009765625 0.0049913195 0.0010850695 0.001953125 0.0015190972 0.004123264 0.000108506945 0.0 0.003797743 0.0010850695 0.0028211805 0.003797743 0.0010850695 0.000108506945 0.004123264 0.004123264 0.0028211805 0.00043402778 0.00043402778 0.0006510417 0.00043402778 0.00054253475 0.0 0.0 0.00032552084 0.0006510417 0.00043402778 0.0 0.0045572915 0.0006510417 0.004014757 0.0 0.00032552084 0.0 0.000108506945 0.0 0.00043402778 0.0 0.000108506945 0.00086805556 0.000108506945 0.00021701389 0.0 0.0 0.0007595486 0.0 0.0 0.0 0.00021701389 0.00043402778 0.0 0.0 0.00021701389 0.000108506945 0.000108506945 0.0007595486 0.0 0.000108506945 0.0 0.00021701389 0.00032552084 0.00021701389 0.0 0.0 0.000108506945 0.000108506945 0.0 0.0 0.00021701389 0.00021701389 0.000108506945 0.00054253475 0.0 0.0 0.000108506945 0.0 0.00032552084 0.000108506945 0.0 0.000108506945 0.00043402778 0.0 0.0 0.00043402778 0.0007595486 0.0 0.00021701389 0.0 0.0 0.00021701389 0.000108506945 0.0 0.0013020834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043402778 0.0 0.000108506945 0.0 0.00021701389 0.00043402778 0.0 0.0 0.0078125 0.006184896 0.0027126735 0.0053168405 0.010199653 0.0150824655 0.0017361111 0.0030381945 0.0031467015 0.020616319 0.00086805556 0.0047743055 0.0087890625 0.0048828125 0.0068359375 0.0028211805 0.005533854 0.0034722222 0.0033637153 0.0006510417 0.007378472 0.00086805556 0.0033637153 0.003797743 0.0081380205 0.0048828125 0.0109592015 0.000108506945 0.0006510417 0.00043402778 0.0 0.000108506945 0.00043402778 0.00021701389 0.00021701389 0.00021701389 0.000108506945 0.00032552084 0.00021701389 0.00032552084 0.00043402778 0.000108506945 0.0006510417 0.000108506945 0.00021701389 0.000108506945 0.00043402778 0.0120442705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09643555 0.0020751953 0.0036621094 0.0010986328 0.0018310547 0.0010986328 0.0026245117 0.0015258789 0.0025634766 0.0010986328 0.0005493164 0.0008544922 0.0006713867 0.0048217773 0.003479004 0.00061035156 0.15118408 0.0030517578 0.0178833 0.002746582 0.0020751953 0.0028076172 0.0029907227 0.0022583008 0.001953125 0.00091552734 0.0004272461 0.0004272461 0.0005493164 0.037353516 0.01965332 0.0037231445 0.3012085 0.0067749023 0.028747559 0.009033203 0.005065918 0.009399414 0.011169434 0.00592041 0.0059814453 0.00079345703 0.00091552734 0.0008544922 0.0012207031 0.06628418 0.03314209 0.0134887695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.053649902 0.0004272461 0.005004883 0.003112793 0.025817871 0.008544922 0.010070801 0.0045166016 0.00024414062 0.0 6.1035156e-05 0.00024414062 0.0 0.009216309 0.003967285 0.00012207031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 172.33333 517.0 0.013539651 0.001934236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003868472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.114119925 0.0 0.0 0.23017408 0.0 0.0 0.114119925 0.0 0.114119925 0.0 0.0 0.0 0.0 0.114119925 0.001934236 0.114119925 0.0 0.0 0.001934236 0.001934236 0.0 0.0 0.0 0.114119925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003868472 0.001934236 0.003868472 0.001934236 0.003868472 0.0 0.001934236 0.001934236 0.003868472 0.0 0.0 0.0 0.003868472 0.007736944 0.0058027077 0.001934236 0.0 0.00967118 0.003868472 0.001934236 0.001934236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2868352 0.0 0.0 0.0 1.0 9216.0 16384.0 0.0 0.0 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 -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 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 6.0 3.0 11.0 0.0 6.0 3.0 6.0 0.0 0.0 512.0 4096.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.40361 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8232.0 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


Input: 0.067807406 0.009172522 0.007054868 0.005619215 0.006200376 0.0049465015 0.0043932046 0.004395858 0.003918192 0.0038372537 0.0057664956 0.0034391985 0.00790538 0.0033954124 0.0038969622 0.0031804624 0.0034577742 0.0040628184 0.0035904595 0.0033834707 0.004898735 0.0037709111 0.0032614004 0.0025900137 0.0038014287 0.003823985 0.0034232761 0.0032215947 0.0039195186 0.0032799763 0.0031897502 0.003343665 0.013166345 0.0030875828 0.0040203594 0.004056184 0.004377282 0.003344992 0.0031021782 0.003479004 0.004378609 0.003424603 0.0035785178 0.003727125 0.003773565 0.003754989 0.0039195186 0.0028076172 0.0037974482 0.004958443 0.00428971 0.0037112029 0.0043865703 0.0037656038 0.004154371 0.0032056726 0.004309613 0.0038637908 0.0039288066 0.0033662214 0.0034020466 0.0037868335 0.003176482 0.0035506538 0.0049730386 0.0036329187 0.0038929814 0.003889001 0.003708549 0.0042313286 0.004434337 0.0036939539 0.0042578657 0.005011517 0.0034524668 0.003398066 0.0032215947 0.0037523352 0.0031446374 0.0036966074 0.004517928 0.003658129 0.0041331416 0.0033954124 0.0034577742 0.0034630818 0.003806736 0.0035917864 0.0037642769 0.003343665 0.0039712656 0.0032614004 0.003148618 0.0027518894 0.0025793987 0.002665644 0.00282752 0.0044383174 0.0037947944 0.0052145254 0.004877505 0.0063197925 0.0037523352 0.0037244714 0.004304305 0.0053644595 0.0034378716 0.003708549 0.003853176 0.0043932046 0.0051919688 0.0053923232 0.0040283203 0.0040349546 0.0050884746 0.005152163 0.0050884746 0.00380939 0.0035957668 0.0037987751 0.0032030188 0.0034166418 0.0031817893 0.003459101 0.0025117293 0.0028832478 0.0025993015 0.0033847974 0.0047554346 0.0031340227 0.0029708198 0.0028659985 0.0029854153 0.0028951894 0.003228229 0.0026430876 0.0028235393 0.0030822754 0.003575864 0.0026391072 0.0036647632 0.0032401707 0.0036329187 0.003264054 0.0032932446 0.0040004565 0.003940748 0.0034272566 0.0032414976 0.0035798445 0.0036660898 0.0028076172 0.002933668 0.0029482634 0.0037656038 0.0028885552 0.0031207541 0.0028407886 0.0032587466 0.002997357 0.0046055005 0.0030185864 0.0029509172 0.0031181003 0.0035546345 0.0032972253 0.0031260615 0.0032693613 0.0031884236 0.0034219492 0.0032149605 0.0031791355 0.0031048318 0.0034378716 0.0033728557 0.0028699792 0.002746582 0.003559942 0.0030836023 0.0029363218 0.003415315 0.0036368992 0.0032852837 0.0035824983 0.003415315 0.00359444 0.0030278745 0.0031406567 0.0026192043 0.0027319866 0.002400274 0.002559496 0.0028315005 0.0026444145 0.00273066 0.0027970024 0.0033224355 0.003030528 0.0035307512 0.0036607825 0.003371529 0.0034338909 0.0034723696 0.0031181003 0.0028036367 0.0031353494 0.0029044773 0.0027333135 0.003273342 0.003031855 0.0035307512 0.0032972253 0.0033781633 0.0031512717 0.0033012058 0.0031167734 0.0028726328 0.0028036367 0.0035002336 0.0035015603 0.0035280974 0.0032972253 0.0028076172 0.002514383 0.0029933765 0.0028832478 0.0031592327 0.0034405251 0.0032958984 0.0035015603 0.003245478 0.0031340227 0.0027664849 0.0031154468 0.0032123069 0.0027054497 0.002799656 0.0033118206 0.003408681 0.0025409202 0.0025541887 0.0028593645 0.0032481318 0.0027664849 0.002916419 0.003148618 0.003175155 0.0030889097 0.0025409202 0.0029495903 0.0028235393 0.0033158013 0.0031419836 0.0031817893 0.0035334048 0.018904977 0.009519824 0.0 1.3286565e-06 1.3286565e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3286565e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024938881 9.964923e-06 4.583865e-05 1.2622237e-05 1.5943877e-05 5.314626e-06 7.30761e-05 5.0488947e-05 1.3286565e-06 1.3286565e-06 1.3286565e-06 2.657313e-06 2.657313e-06 0.0 2.657313e-06 1.9929846e-06 0.0011605814 3.2552085e-05 0.0012615593 7.108312e-05 3.5209396e-05 3.321641e-06 4.3181335e-05 0.000106292515 0.0 6.6432824e-07 0.0 1.3286565e-06 0.0 1.3286565e-06 1.3286565e-06 2.657313e-06 0.0024620004 4.7831632e-05 0.0011134141 4.185268e-05 6.045387e-05 4.1188352e-05 0.00017206102 6.776148e-05 1.3286564e-05 8.636267e-06 3.321641e-06 6.643282e-06 1.0629252e-05 1.12935795e-05 7.3076108e-06 1.3950893e-05 2.7901786e-05 0.0 0.0010576105 9.0348636e-05 5.1817602e-05 5.314626e-06 7.7062075e-05 5.0488947e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009546397 5.9125214e-05 0.0010124362 0.00015611714 7.7062075e-05 6.643282e-06 0.00019730549 0.00024380846 0.0 2.657313e-06 0.0 1.3286565e-06 6.6432824e-07 4.650298e-06 1.3286565e-06 3.321641e-06 0.0029270302 0.00017936862 0.0010835193 0.00018401892 0.0002497874 0.0001082855 0.0009871918 0.00077062077 1.5943877e-05 2.2587159e-05 1.46152215e-05 1.7936862e-05 2.8566114e-05 2.9230443e-05 2.5244473e-05 0.00015877445 0.0067688404 0.0005414275 0.0010615966 0.0006663212 0.0007274394 0.00041454082 0.002855947 0.0017717634 2.7901786e-05 9.964923e-06 7.3076108e-06 6.643282e-06 1.7272534e-05 1.7936862e-05 2.2587159e-05 4.849596e-05 0.0039985916 0.0002564307 0.0030080783 0.003730203 0.0011087639 0.00034412203 0.0032173416 0.0019272162 0.00010562819 7.241178e-05 8.104804e-05 7.108312e-05 7.041879e-05 0.00012887968 9.6327596e-05 0.0008310746 0.0023929102 0.00013950893 0.00042649874 0.00065967796 0.00036073022 0.00034677933 0.0014575361 0.0006191539 0.00011692177 9.8320575e-05 0.00010230655 9.8320575e-05 9.699192e-05 0.00019199085 0.00019464818 0.0022215135 0.002505846 0.00018999787 0.00014482356 0.000174054 0.00031223428 0.00018601191 0.0007134885 0.00027702487 0.00011360013 8.104804e-05 8.104804e-05 7.573342e-05 6.443984e-05 9.8320575e-05 8.104804e-05 0.0003434577 0.012602971 0.0019059577 0.00223015 0.0021763393 0.0021424585 0.0015618356 0.0030751755 0.001904629 0.0007520196 0.0006184896 0.0006729645 0.0006125106 0.00062978314 0.000783243 0.00075999147 0.0043061757 0.016137198 0.002993463 0.003523597 0.0032758026 0.0036597843 0.0024686437 0.0042357566 0.0028320313 0.0016096673 0.0015246333 0.0015053678 0.0013054049 0.0012701956 0.0015199829 0.0015392485 0.006381537 0.016796876 0.003720238 0.0042370856 0.0040304796 0.004310826 0.0035774074 0.0056301816 0.0043546716 0.0028705623 0.0027988148 0.002794829 0.0027078018 0.002525776 0.0030446162 0.002738361 0.007330862 0.06310321 0.047010522 0.047866177 0.046467103 0.04935095 0.046512276 0.04793726 0.044330623 0.045842633 0.04754132 0.04753667 0.04489331 0.044868063 0.04514376 0.044108737 0.04258942 4647.0 11.635248 54069.0 0.13458729 0.0035140284 0.013260833 0.005030609 0.005529971 0.005104589 0.0052525476 0.00647321 0.00405038 0.005049104 0.0049381345 0.005104589 0.011836727 0.008600122 0.014074609 0.009432392 0.014925373 0.019826518 0.01211415 0.011059942 0.009820784 0.008452163 0.015387746 0.008970019 0.009154969 0.011189406 0.013464277 0.003920916 0.0054559913 0.0099502485 0.0048086704 0.0037729568 0.0039024209 0.008840555 0.009450886 0.012502543 0.010616065 0.013556751 0.01052359 0.008082265 0.00567793 0.010764023 0.0041243597 0.0040133903 0.00484566 0.006029333 0.004383288 0.0043278034 0.0071945107 0.00408737 0.00983928 0.005973848 0.0067506335 0.0060478277 0.006454715 0.0061218073 0.006010838 0.003920916 0.004235329 0.003273595 0.002755738 0.0028667073 0.0023303556 0.0037914517 0.0033105847 0.01866134 0.00972831 0.015813127 0.015591189 0.037026763 0.009395402 0.011614788 0.011485324 0.023359042 0.0046237214 0.005363517 0.014962363 0.01309438 0.022785699 0.025559932 0.012576522 0.00491964 0.017440679 0.021269118 0.030960439 0.011744252 0.0069725723 0.010098208 0.007176016 0.008026781 0.0036619874 0.002570789 0.0031626255 0.0034770386 0.002589284 0.003569513 6.0055747 1.0 65.0 0.0 19.0 753664.0 770048.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1389110500.0 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 724992.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -724992.0 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 -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 -7.824819 0.0 6.27717 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 -722420.0 0.0 18664.0 0.0 0.0 0.0 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 730524.0 18664.0 737280.0 0.0 0.0 0.0 0.0 12.0 761856.0 28.0 730392.0 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: 0.0074839736 0.004188429 0.004072487 0.0040135058 0.0039628325 0.003913674 0.0039062386 0.003924277 0.0038890261 0.0038816363 0.003870437 0.0038046627 0.003984543 0.0038819117 0.003837894 0.003822885 0.0040534385 0.0038325696 0.0039156936 0.0037978697 0.0038860885 0.0039061927 0.003855336 0.0038023219 0.0038699778 0.0039055042 0.0039342833 0.0038626797 0.0039449777 0.0038732826 0.0038717221 0.0038427594 0.004009329 0.003841658 0.0038939833 0.0038961866 0.0040501337 0.0039202836 0.0038375726 0.0038499197 0.003842989 0.003913812 0.003948787 0.003917025 0.0039131693 0.003919641 0.0038338548 0.0038359202 0.0038511131 0.0038526738 0.0038860426 0.0038627717 0.003924782 0.0038852165 0.003887787 0.0038451003 0.0038707124 0.00390096 0.003886318 0.003870437 0.0038469362 0.0038750267 0.0038944422 0.003882646 0.0039999653 0.0038892098 0.0038243996 0.0038317435 0.0038426677 0.003919412 0.0039061008 0.0038798004 0.003984268 0.0040346654 0.0039204215 0.0038881083 0.0037765263 0.0039033927 0.0038906785 0.003881728 0.0038682795 0.00385249 0.0039537447 0.003923543 0.00391193 0.004038613 0.0039505777 0.0038883376 0.0039127106 0.0039214315 0.0038990781 0.0038791578 0.003867637 0.00387085 0.0039025666 0.003868004 0.003785752 0.0038425298 0.0038655715 0.003922303 0.0039447024 0.0039290967 0.0038699778 0.0038875116 0.0038860885 0.003942591 0.0039115627 0.003910507 0.003928454 0.0039872974 0.0039497972 0.0038701156 0.0038526738 0.0039176675 0.003977199 0.0038810396 0.003893203 0.0039470433 0.003926756 0.0038453299 0.003836104 0.0038649747 0.0038725482 0.003880902 0.0038501034 0.0038451003 0.003889577 0.0038670404 0.0041506537 0.0037737724 0.0038278878 0.0038079217 0.0037928207 0.0038610734 0.003877689 0.0038062693 0.003837848 0.0039167954 0.0039135367 0.003951266 0.003868142 0.00394686 0.0039436924 0.003902337 0.00397697 0.003948787 0.004065418 0.0039186315 0.0038795709 0.0039414894 0.003934788 0.0038750267 0.0037906175 0.0038321107 0.0038888426 0.0038609356 0.0038368842 0.0038505623 0.003859421 0.0038755776 0.003820039 0.0038294026 0.0037934172 0.0038327991 0.0039013731 0.003903301 0.0038485427 0.0039009142 0.0038632306 0.0039382307 0.0039350633 0.0039279032 0.003900042 0.0038951768 0.0038988488 0.003908258 0.0038321107 0.0039280867 0.0038809937 0.003885446 0.0038903572 0.0039341 0.0039531477 0.003928683 0.0039058253 0.0039219363 0.0038599716 0.003888246 0.0038493231 0.0038480838 0.0038449627 0.00389178 0.0038971505 0.003783411 0.0037509142 0.003882279 0.003901511 0.0038445494 0.0038847115 0.004000608 0.003917989 0.0039601703 0.0038773676 0.003925103 0.0038159082 0.003843402 0.003805902 0.0038591456 0.0038235274 0.0038389498 0.003876679 0.0039140414 0.0038594669 0.003902383 0.003874384 0.0039466303 0.0038322944 0.0038824165 0.0039018323 0.0040487107 0.0039283163 0.0038805348 0.0038506542 0.0038307796 0.0038190293 0.0038130623 0.0038979766 0.0039565903 0.0039756387 0.0039223493 0.003828347 0.003828347 0.003850746 0.0038806724 0.0038983438 0.003914409 0.0038450086 0.003970131 0.00392648 0.0037974564 0.0038082888 0.0038996749 0.0039313 0.00380962 0.0038574014 0.0038825544 0.0038900818 0.003884574 0.003866673 0.0038624045 0.0038601554 0.0038786528 0.003911333 0.003907753 0.003933457 0.0041924682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3308424e-05 3.6951014e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.29906e-05 7.849221e-06 2.295094e-07 9.180376e-08 1.8360753e-07 9.180376e-08 2.295094e-07 1.147547e-07 8.7213573e-07 9.180376e-08 2.295094e-07 1.147547e-07 1.6065658e-07 1.3770564e-07 4.131169e-07 2.0655845e-07 0.00010192512 3.4816578e-05 3.9016598e-07 3.9016598e-07 8.262338e-07 1.3770564e-07 3.442641e-07 3.6721505e-07 3.442641e-07 9.180376e-08 9.180376e-08 4.590188e-08 4.131169e-07 2.5246035e-07 2.5246035e-07 3.2131317e-07 0.00041651365 0.00020440108 5.967244e-07 8.032829e-07 1.9967317e-06 3.9016598e-07 2.295094e-07 3.6721505e-07 0.000116223564 1.7901733e-06 2.295094e-07 3.6491995e-06 2.5246035e-07 3.2131317e-07 4.131169e-07 3.878709e-06 5.907572e-05 6.2885574e-06 4.590188e-08 2.983622e-07 6.885282e-08 4.200022e-06 2.0655846e-06 6.885282e-08 1.9485347e-05 1.8360753e-07 5.049207e-07 9.180376e-08 5.049207e-07 2.5246035e-07 9.180376e-08 7.8033196e-07 0.00022411592 3.6262486e-06 3.809856e-06 4.4983844e-06 2.0770602e-05 3.465592e-06 1.0304972e-05 5.485275e-06 1.19115375e-05 1.2668919e-05 4.819697e-07 1.2554165e-05 7.114791e-07 4.131169e-07 1.0786941e-06 1.3127938e-05 0.00016788613 2.1114865e-06 1.441319e-05 6.908233e-06 1.1108255e-05 4.177071e-06 4.248219e-05 2.4121438e-05 2.1573883e-06 4.3606786e-07 6.885282e-07 8.032829e-07 1.0098414e-06 8.032829e-07 1.4000074e-06 1.5147621e-06 0.00017364681 3.878709e-06 7.367252e-06 1.1131206e-05 1.1085304e-05 1.6318118e-05 3.782315e-05 2.565915e-05 1.45279455e-05 9.9148065e-06 2.1114865e-06 1.8590262e-06 1.9967317e-06 1.4229582e-06 1.7901733e-06 8.491847e-06 0.00023958486 1.6731236e-05 2.8482116e-05 1.9462397e-05 1.8705015e-05 1.3013183e-05 5.0767478e-05 2.7541128e-05 6.908233e-06 1.5790247e-05 3.809856e-06 4.3147766e-06 3.6721503e-06 2.5475545e-06 3.9246106e-06 1.4780406e-05 0.00025620134 1.1337765e-05 1.4550896e-05 1.8544359e-05 3.5091987e-05 2.0609945e-05 4.2114974e-05 2.8252607e-05 1.4206632e-05 1.7259106e-05 5.5770784e-06 9.547591e-06 5.2787163e-06 4.842648e-06 4.7049425e-06 2.8918184e-05 0.00019682726 1.122301e-05 1.7006647e-05 1.7488617e-05 2.8114902e-05 2.122962e-05 2.7816539e-05 2.3226352e-05 1.4091877e-05 1.0901696e-05 5.0492067e-06 8.078731e-06 6.196754e-06 4.8885504e-06 6.977086e-06 2.391488e-05 0.00013612202 1.1544323e-05 2.3387009e-05 2.5728004e-05 2.9147694e-05 2.1849295e-05 2.6967355e-05 2.4327997e-05 1.4849258e-05 1.0855794e-05 9.04267e-06 8.05578e-06 6.449214e-06 6.173803e-06 6.541018e-06 1.4986964e-05 0.0002455062 2.611817e-05 3.2842796e-05 3.5436253e-05 7.516433e-05 5.8983915e-05 4.2665797e-05 4.707238e-05 0.000101695616 1.4229583e-05 1.0488579e-05 2.2239461e-05 4.785271e-05 2.586571e-05 4.6200243e-05 0.00010770876 0.0004509171 8.7695546e-05 8.987588e-05 0.00011131206 0.00015436803 0.00015787952 0.00012260392 0.00010770876 0.00024782424 4.7462545e-05 4.535106e-05 6.0934744e-05 0.00013102691 7.394793e-05 0.00012372852 0.00024353243 0.06362308 0.061724167 0.062192045 0.061771605 0.06198762 0.062187407 0.06202781 0.0618333 0.061614692 0.062196337 0.06201514 0.06211268 0.061746474 0.06207192 0.061929278 0.061915923 102108.0 5.680162 579990.0 0.010877774 0.010110519 0.010370868 0.010250176 0.010948464 0.010389835 0.010167417 0.009879481 0.010124313 0.010443283 0.010598458 0.010905361 0.011020879 0.010838117 0.010712254 0.01027259 0.0105001815 0.010203624 0.010495009 0.010372593 0.010600183 0.010327764 0.010213969 0.010474319 0.010081208 0.010586389 0.010503629 0.010570872 0.010431214 0.010479491 0.0102019 0.010146727 0.010213969 0.01030535 0.01003638 0.010267419 0.010513974 0.010477766 0.010389835 0.010300177 0.010324316 0.010970878 0.010384662 0.010426042 0.010001897 0.010460525 0.010562251 0.010293281 0.009972585 0.010193279 0.010541561 0.010405351 0.0105967345 0.011129502 0.010555354 0.010308798 0.010105346 0.0105363885 0.010322592 0.010322592 0.010010517 0.010350178 0.010289833 0.010138106 0.009743271 0.010646735 0.01027259 0.010569148 0.010774324 0.011363989 0.010353627 0.010303626 0.010481215 0.010824325 0.010310522 0.01046225 0.010589838 0.010741564 0.010839842 0.010526043 0.010313971 0.010308798 0.011138123 0.010701909 0.010712254 0.010684667 0.010479491 0.010050173 0.009908792 0.010401904 0.010193279 0.010348454 0.010088105 0.010072587 0.009769134 0.010219142 6.58438 3.0 27.0 0.0 365.0 21786688.0 184320.0 0.0 0.0 122.0 0.0 1.0 1.0 1.0 0.0 1528982900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.8596973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5167036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.402267 -5.006032 4.8294525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62044.0 -3588.0 65912.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 65912.0 114688.0 0.0 0.0 11384.0 21775304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0