Input: 0.12143317 0.015670769 0.008164406 0.014388893 0.0124023855 0.0070004542 0.015103715 0.004414865 0.0040465347 0.005671991 0.005428864 0.004558994 0.0026722124 0.006817017 0.0037422623 0.0034270706 0.0029211629 0.003421975 0.0028505542 0.00842282 0.0034190635 0.003124982 0.0025935967 0.0029604707 0.003326617 0.0021124382 0.002860745 0.002345374 0.0039125965 0.0044723707 0.0044876575 0.0027369978 0.009174038 0.0035260685 0.0031773923 0.0032057816 0.0023635724 0.0031271656 0.00228714 0.001920266 0.0033462709 0.003266927 0.003889303 0.004417049 0.0027675705 0.0020534762 0.0040909383 0.004066189 0.023733992 0.010692489 0.00407638 0.0029721176 0.002648919 0.0030958648 0.002474217 0.004750438 0.0025935967 0.004871274 0.00300633 0.0031169746 0.0030128814 0.0023977847 0.0033804835 0.0020643952 0.0022674862 0.0037641 0.002268942 0.006274713 0.0027995994 0.0031002325 0.0023963288 0.0017805045 0.003793217 0.0020148964 0.002133548 0.0021364598 0.0020112565 0.005496561 0.0027195276 0.0024305414 0.002774122 0.0024181667 0.003587214 0.003415424 0.0030856738 0.009690865 0.0019945144 0.002988132 0.0022150755 0.0015803251 0.0027923202 0.0019930585 0.0022259946 0.0018416501 0.0016734995 0.0018314591 0.0024851358 0.0052650813 0.0026401838 0.009186413 0.0038725608 0.004966632 0.0059595215 0.0038973102 0.004221237 0.011836788 0.0022150755 0.002375947 0.0028971413 0.0046507125 0.006879619 0.019164808 0.007440121 0.0016472941 0.012291012 0.0074328417 0.012882816 0.0026918664 0.002559384 0.0030776667 0.0021590253 0.003480937 0.0020876888 0.0018824139 0.0030594685 0.0019166264 0.0026023316 0.0024101594 0.0027617472 0.004122967 0.0070921727 0.0021764955 0.0024319973 0.00259942 0.006508377 0.002726079 0.0023431904 0.0017761369 0.0017528433 0.0023228086 0.0025360906 0.0021976053 0.002183775 0.0026445515 0.0018001584 0.0018205403 0.0019872352 0.001833643 0.002473489 0.0019457433 0.0021015194 0.0024982383 0.0018147168 0.0019624857 0.0027777615 0.0014907903 0.0024203504 0.002386138 0.0023715794 0.0024909591 0.0032429057 0.0021983334 0.002899325 0.0025557445 0.0016640364 0.002153202 0.0019450155 0.0023126176 0.0022158036 0.0022077963 0.001929729 0.0023992406 0.0023643002 0.0022711258 0.0019675812 0.0019464713 0.0020425573 0.001502437 0.0019522947 0.002443644 0.0022296342 0.0016887859 0.001986507 0.0027610194 0.0019610298 0.0017994305 0.0021022472 0.0023613886 0.0024370928 0.0033222495 0.0021007913 0.0025258996 0.0023948732 0.0025673914 0.0016800507 0.0015068046 0.0020338222 0.0019020679 0.0023228086 0.0020491087 0.0024785844 0.0022907797 0.002124813 0.0019224498 0.002540458 0.0020032495 0.0018387384 0.0020411015 0.0023613886 0.0025462816 0.0021022472 0.0016603968 0.00164875 0.0020323663 0.00211535 0.0017200867 0.0018918769 0.0021058868 0.002463298 0.0022529277 0.0018314591 0.0021379155 0.002397057 0.0023926892 0.002608883 0.0022478322 0.0016938813 0.0023679398 0.0014856948 0.0060570636 0.0015861485 0.0019435596 0.0022347297 0.0019173543 0.0022849564 0.0020039773 0.0022915078 0.0024545628 0.002336639 0.002308978 0.0035821188 0.0021954216 0.0024167108 0.0028490983 0.0019850514 0.0017346451 0.0031606501 0.0037560926 0.0021284525 0.002435637 0.0020636672 0.0021757677 0.0026234414 0.0018161727 0.0028942295 0.021048678 0.07384598 1.8219449e-06 2.1863339e-06 5.830224e-06 2.915112e-06 2.1863339e-06 9.4741135e-06 4.3726677e-06 1.0931669e-06 7.28778e-07 7.28778e-07 1.8219449e-06 1.8219449e-06 1.8219449e-06 2.1863339e-06 0.006712045 0.0007448111 1.8219449e-06 2.1863339e-06 1.8219449e-06 5.465835e-06 1.8219449e-06 2.1863339e-06 1.8219449e-06 2.1863339e-06 1.457556e-06 1.8219449e-06 8.672458e-05 4.0811567e-05 1.093167e-05 8.380946e-06 0.0028170913 0.0026808097 4.008279e-06 1.1296059e-05 1.5304338e-05 1.093167e-05 6.194613e-06 2.4778452e-05 1.3846782e-05 1.0202892e-05 5.830224e-06 6.923391e-06 0.00017599988 1.4939948e-05 1.5668727e-05 2.3685285e-05 0.0014571915 0.0047253966 1.421117e-05 1.749067e-05 2.149895e-05 2.0041394e-05 2.4414063e-05 2.9515508e-05 2.2592118e-05 1.3846782e-05 4.372668e-05 1.8583838e-05 0.0003246706 7.688608e-05 3.498134e-05 6.0124185e-05 0.0035072442 0.004297968 2.2227729e-05 2.8057952e-05 5.2472016e-05 7.3970965e-05 6.194613e-05 7.360658e-05 2.2956507e-05 6.559002e-05 2.2592118e-05 1.6397506e-05 0.00035564366 0.00010530842 2.7329175e-05 0.002138599 0.003829364 0.0019093984 2.5142841e-05 2.7693564e-05 3.8625232e-05 2.2227729e-05 2.842234e-05 6.048857e-05 3.4252564e-05 0.00011296059 2.149895e-05 1.8219449e-05 2.0405783e-05 2.0041394e-05 1.8948227e-05 0.0013930592 0.00072622724 0.0038654385 2.2956507e-05 0.00011988398 7.469975e-05 9.546991e-05 0.000172356 6.30393e-05 2.9879897e-05 0.00016361066 0.00017927938 2.0770172e-05 7.94368e-05 5.356518e-05 8.59958e-05 0.00081951084 0.0016167939 0.0031421264 0.00016725455 0.00016506821 9.2190414e-05 7.105585e-05 5.538713e-05 0.00020442222 0.00013045126 0.00030025654 2.6964786e-05 2.842234e-05 6.9598296e-05 3.0608677e-05 3.935401e-05 0.00018802471 0.0005126953 0.0028506152 0.0001493995 0.00021608267 0.0006730265 0.0002947907 0.00018365205 0.0015850922 0.00066100166 6.2310515e-05 0.00014320487 4.8828126e-05 9.474114e-05 6.996268e-05 9.9478195e-05 4.1904736e-05 0.0002885961 0.0044608503 0.0005855731 0.00080967235 0.00030171408 0.00023065823 0.00028604537 0.0005928609 0.00034689833 0.00027001224 8.963969e-05 7.7250465e-05 6.63188e-05 5.9395406e-05 9.656308e-05 0.00014830632 0.00053346547 0.00389131 0.00037677822 0.00028240148 0.00035965192 0.00019567688 0.00016142432 0.0005859375 0.0003837016 0.00019385494 0.00013992537 0.00016069555 0.00016944089 0.0001486707 0.000102757695 0.00015705166 0.00015340776 0.0024319321 0.00019239739 0.00019312616 0.00027766443 0.00018401645 0.00016397504 0.0005265421 0.00034033932 0.00011624009 0.0001093167 0.000107859145 0.00012316348 0.000116604475 0.000110045476 0.000117697644 0.00011296059 0.002199452 0.0002718342 0.00030681552 0.00020369345 0.00019421933 0.00018474522 0.00035600804 0.0002882317 0.00017162721 0.00015486532 0.00013992537 0.00015158582 0.0001490351 0.00015158582 0.00014356927 0.00015668727 0.0017111707 0.00019567688 0.0002022359 0.00017454232 0.00019822762 0.00018073694 0.00020587978 0.00019021105 0.00018656717 0.00017563549 0.00017344917 0.00018037255 0.00018838911 0.00017964377 0.00016616138 0.0001687121 0.071368866 0.024910724 0.024496779 0.039240323 0.019646762 0.018589668 0.045925036 0.032543216 0.020233428 0.010927661 0.012021557 0.011254518 0.010637243 0.01091345 0.011002361 0.013154078 0.050679587 0.029013015 0.029772768 0.037372828 0.026144546 0.026020654 0.042289894 0.034629345 0.026270624 0.022141732 0.023441508 0.022074685 0.022001807 0.021780623 0.0214268 0.02314854 13050.0 17.104752 223217.0 0.042115968 0.00741879 0.005178817 0.0038393133 0.0011155064 0.0025042896 0.00048383413 0.0029298845 0.0047577024 0.008628375 0.0011737457 0.004600904 0.0018188579 0.0022758124 0.013009761 0.014927179 0.061200537 0.043150835 0.010420353 0.0077861454 0.003046363 0.0055730524 0.0040364307 0.010487553 0.00575225 0.015195975 0.0056312913 0.0015948606 0.0015903807 0.0018546975 0.0008691094 0.0004435146 0.00088254927 0.009215248 0.00164414 0.025307212 0.002634208 0.0033420394 0.0012767845 0.00065407204 0.0016530999 0.0013887831 0.0008959891 0.0004524745 0.0008780693 0.021893494 0.0016844595 0.0006495921 0.0044933856 0.0004614344 0.008691094 0.0058732084 0.0034809178 0.00049279403 0.0006809517 0.006339123 0.0013126241 0.00052415364 0.00739191 0.00048383413 0.000900469 0.00087358936 0.00042559483 0.0006182325 0.0005420734 0.018802332 0.0014380625 0.04047183 0.0131352 0.016360762 0.024518741 0.014187988 0.01643244 0.0560486 0.00087358936 0.0033375595 0.0055506523 0.017041713 0.029231645 0.10476352 0.032121208 0.0003718355 0.06279539 0.035127252 0.066988625 0.0068543167 0.0017113392 0.004551625 0.00094974844 0.00983348 0.00046591435 0.00039871514 0.00045695444 0.00040767505 0.00040767505 0.0009139089 5.2844424 0.0 632.0 0.0 9.0 1373768.0 573440.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1490664100.0 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 491520.0 512.0 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 -491520.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -6.665432 0.0 3.002056 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 -491124.0 0.0 61440.0 0.0 0.0 0.0 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 75.0 499232.0 61440.0 499712.0 0.0 0.0 9216.0 1364552.0 12.0 565248.0 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


Input: 0.0070449123 0.003966075 0.0038972877 0.0038990872 0.0039182836 0.00393888 0.003851096 0.003867293 0.0039446787 0.0038728921 0.0039152843 0.0038492964 0.003928482 0.003862294 0.0038808906 0.0039372803 0.00388389 0.0038862897 0.0038251008 0.0038338993 0.0038762914 0.0039732736 0.003845097 0.0038203017 0.0039080856 0.003873292 0.0038930883 0.0038918885 0.0039130845 0.003873492 0.0038430975 0.0038666932 0.0039128847 0.0038996872 0.0038872894 0.0038824903 0.0038704926 0.0038826903 0.0038428975 0.0038476966 0.0038802908 0.003862294 0.0038996872 0.0038906888 0.003929482 0.003911085 0.0038578948 0.0038982874 0.003932881 0.0038446973 0.0038464968 0.0038970876 0.0038462968 0.0038642937 0.0038862897 0.0038742917 0.0038370986 0.0038714923 0.0038880892 0.00393928 0.0038744917 0.0038416977 0.003917484 0.0038558953 0.003967675 0.0038608941 0.003932881 0.0038682928 0.003943079 0.003945279 0.0039528776 0.003845097 0.0038574948 0.0039120847 0.0038820903 0.003862894 0.0038430975 0.0038852897 0.0038538955 0.0038808906 0.0039522774 0.003878491 0.0038430975 0.003917284 0.0038728921 0.0038642937 0.003933481 0.0039146845 0.003901087 0.003845297 0.0038984874 0.0038320995 0.003906686 0.0038714923 0.003917684 0.00388489 0.0039132847 0.003922483 0.003851296 0.0039682747 0.0038760914 0.0039692745 0.0038988872 0.0038666932 0.00399247 0.003921683 0.003970874 0.0038692928 0.003922483 0.003905486 0.0038864897 0.0038988872 0.0039604763 0.003928682 0.003922083 0.00394088 0.0039964695 0.0040088673 0.003873292 0.003907086 0.003918084 0.0038976874 0.0038558953 0.0038604944 0.003889489 0.003951478 0.0038742917 0.0038804905 0.003917084 0.003878891 0.003933481 0.003917484 0.0038824903 0.003932081 0.0038508961 0.0038646935 0.0039576767 0.003943079 0.003878691 0.003988271 0.0039090854 0.0039632753 0.00388289 0.0038818903 0.003867093 0.003797106 0.0038992872 0.0038744917 0.0038712923 0.003845497 0.0038135028 0.0038558953 0.0038658932 0.0038412977 0.0038227013 0.0038962876 0.0039020868 0.003846097 0.0039068856 0.0038245008 0.0039022868 0.003905086 0.0038906888 0.0038588946 0.0038774912 0.0038634937 0.0038752917 0.0038472968 0.003907886 0.0038878892 0.0038540955 0.0038316995 0.0038586946 0.0039318814 0.0038318995 0.0038858897 0.0038994872 0.003911885 0.0038390981 0.0038612941 0.003910485 0.0038762914 0.0038572948 0.003911485 0.003851296 0.0038596943 0.0038640937 0.003871892 0.0038684928 0.0039152843 0.0038866894 0.003834499 0.0039978693 0.003921683 0.0039034865 0.0038824903 0.003878891 0.0038768912 0.00388369 0.0038660932 0.0038692928 0.0039012867 0.0039242827 0.00388489 0.0039120847 0.0038306997 0.0039120847 0.0039022868 0.0038770912 0.0038448973 0.0038874894 0.003911885 0.0038868894 0.0038804905 0.003943479 0.003927282 0.0038916885 0.003868093 0.0038638937 0.0038366986 0.003856895 0.0038696926 0.0038846899 0.0038798908 0.0039574765 0.0038103035 0.0038776912 0.0039072856 0.0038548952 0.003840498 0.0039132847 0.0038814906 0.003967675 0.003921883 0.0038580948 0.0038882892 0.0039204834 0.0038770912 0.003905086 0.0039288816 0.0038694926 0.0038962876 0.0038770912 0.0038582948 0.003889089 0.003918084 0.00393748 0.0038536955 0.0039258823 0.0038826903 0.0038812906 0.0038304997 0.003944279 0.0038544955 0.003981672 0.0049063032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014332385 1.2001997e-06 2.1003495e-06 2.800466e-06 6.9011485e-06 2.500416e-06 1.0101681e-05 4.500749e-06 2.3003827e-06 2.4003994e-06 1.9003162e-06 4.8007987e-06 3.600599e-06 2.2003662e-06 4.700782e-06 9.501581e-06 0.0003119519 5.9009817e-06 5.600932e-06 7.3012147e-06 5.000832e-06 8.201365e-06 4.4007325e-06 2.0003329e-06 6.0009984e-06 3.5005826e-06 4.500749e-06 1.7502913e-05 1.7402896e-05 2.9604926e-05 3.540589e-05 0.000150225 0.0002728454 4.8007987e-06 1.3602264e-05 9.601597e-06 4.8408056e-05 2.0303378e-05 0.00013322217 6.2210354e-05 9.801631e-06 5.8009655e-06 1.070178e-05 1.790298e-05 2.0203363e-05 2.1903645e-05 3.570594e-05 0.00013232202 0.00048598085 1.2102014e-05 2.1603595e-05 1.9903311e-05 5.5009154e-05 3.9506573e-05 0.00016632768 0.00014342387 4.1506908e-05 1.220203e-05 9.301548e-06 2.6404394e-05 2.6704443e-05 2.4604095e-05 2.9904977e-05 0.000114519054 0.000534989 2.560426e-05 2.770461e-05 3.9506573e-05 2.5104177e-05 2.5204194e-05 3.3305543e-05 6.341055e-05 7.741288e-05 3.5005825e-05 2.800466e-05 2.9404893e-05 3.6806123e-05 3.0905143e-05 5.0408387e-05 0.00016622766 0.00067691266 4.590764e-05 5.7309535e-05 5.0808456e-05 4.3907305e-05 4.560759e-05 8.4114e-05 9.0415044e-05 0.00010631769 5.0408387e-05 5.690947e-05 7.69128e-05 9.761624e-05 0.00010131686 0.00013772292 0.00032615426 0.0009913649 0.00015362556 9.411566e-05 0.0001412235 0.00024234032 0.00020003329 0.00014452405 0.00022043668 0.00032875472 9.5415875e-05 9.631603e-05 0.00010161691 0.00018443068 0.00017582926 0.0002734455 0.0006532087 0.00048007988 0.00010861807 7.75129e-05 0.00010661774 0.00018863138 0.00016202696 7.001165e-05 0.00015422567 0.0001893315 2.7604594e-05 3.0004992e-05 3.0405059e-05 9.021501e-05 3.3605593e-05 9.7316195e-05 0.00020213364 0.06160255 0.06165406 0.061859194 0.061646856 0.061684363 0.06173567 0.061992615 0.061927006 0.06182699 0.061504636 0.06177878 0.06171907 0.061877098 0.061694168 0.061650157 0.06155674 23360.0 5.7155395 133515.0 0.010126203 0.010335918 0.01022357 0.009938958 0.009646856 0.009796652 0.009983897 0.009998877 0.010448264 0.010305958 0.010246039 0.010096244 0.010440774 0.010036325 0.009998877 0.01059806 0.010455754 0.010141183 0.009916489 0.010635509 0.009579448 0.009961427 0.01058308 0.010043816 0.009849081 0.010186122 0.010006366 0.009796652 0.010118714 0.009931468 0.010740366 0.010530652 0.0101711415 0.010680448 0.010530652 0.010515672 0.011092386 0.0101711415 0.010275999 0.01059057 0.010036325 0.010463244 0.010096244 0.010043816 0.010740366 0.010335918 0.009796652 0.010178631 0.010111224 0.010298468 0.010021346 0.01096506 0.010156162 0.010208591 0.010455754 0.010305958 0.010163652 0.01023855 0.010403326 0.009774183 0.0099764075 0.010313448 0.010186122 0.010762836 0.010118714 0.012073549 0.010403326 0.010710407 0.011137325 0.013114631 0.0101936115 0.010350897 0.010815265 0.011474366 0.010028835 0.010088754 0.011916264 0.010515672 0.011189754 0.011601693 0.01097255 0.009923979 0.011669101 0.011751489 0.012260795 0.010725386 0.01061304 0.010455754 0.010246039 0.01060555 0.010201101 0.009849081 0.010088754 0.010186122 0.009834101 0.010126203 6.582735 0.0 1.0 0.0 82.0 5000914.0 212992.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1245360800.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.263696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7227535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.486413 0.0 5.684445 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 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23488.0 0.0 31560.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 31560.0 180224.0 0.0 0.0 5840.0 15161512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.08747261 0.010459795 0.0067871646 0.005494943 0.0065643266 0.0050532673 0.0037910505 0.004115906 0.0071420255 0.0033193696 0.003355776 0.0033245706 0.0056029614 0.0031033326 0.003059725 0.0072416426 0.004564383 0.0029036982 0.0029385043 0.004085501 0.0036742305 0.0037434425 0.0029108995 0.0029277024 0.0038666634 0.0028060814 0.0029397043 0.0028184836 0.0032009492 0.0028044812 0.003012517 0.002907699 0.0040178895 0.0028940965 0.0027768766 0.0028252848 0.005798195 0.0028580904 0.0026728588 0.0027484717 0.0031865467 0.0027000634 0.0028976973 0.0030401216 0.0029233017 0.0028864953 0.002703264 0.0026956627 0.0033125684 0.0033029667 0.0032845635 0.0044151577 0.0030585248 0.0027308685 0.0026652573 0.0027460712 0.0029737102 0.003472596 0.0026536554 0.004003887 0.0031077333 0.0030633258 0.002849289 0.0038142544 0.003915872 0.0035282054 0.0031225358 0.0034001835 0.0046419967 0.006428703 0.0040194895 0.003659828 0.00460319 0.0037978517 0.0032305543 0.0035710128 0.0053805234 0.0043739504 0.0031621426 0.0056689726 0.005400127 0.003444591 0.0032053501 0.0040190895 0.0033957828 0.0041351095 0.004177517 0.0039902846 0.0036462257 0.0039958856 0.0028244846 0.0030809287 0.0029973143 0.00390427 0.0035386072 0.003491399 0.0028308858 0.0035006008 0.002773676 0.002965309 0.0031161348 0.0037738476 0.004403956 0.0027816773 0.004103104 0.0030393216 0.004830429 0.0027628741 0.0031909475 0.0050100596 0.0033141687 0.0031777453 0.0031549414 0.0025976459 0.0034061845 0.0032157518 0.006041837 0.006214266 0.0029801114 0.0029401046 0.0030377214 0.0029012978 0.002924902 0.0031001319 0.003047723 0.0035054015 0.0030253192 0.00297131 0.0035918164 0.0031225358 0.0027068644 0.006725154 0.00413871 0.0057133804 0.00273927 0.0027568731 0.0031609423 0.006784764 0.0027904788 0.014636911 0.0028116824 0.00600383 0.0026728588 0.0026592563 0.0028012807 0.0025544383 0.002633652 0.0028292856 0.0026724585 0.0027144658 0.00302972 0.0031313372 0.0026700583 0.0027308685 0.002558839 0.0025736417 0.0027144658 0.0026252505 0.0026604566 0.0026936622 0.0027316688 0.0027192666 0.002570041 0.0026952624 0.0026904617 0.0026352522 0.0026740588 0.0026840605 0.0028468885 0.002633652 0.0026152488 0.0026508549 0.0031845465 0.0027148658 0.0028644917 0.002604847 0.0028784939 0.002511631 0.0024900273 0.0026012463 0.0026988632 0.0026656573 0.0028624912 0.0033249706 0.0030845292 0.002807682 0.0027252675 0.0027008634 0.0027288683 0.0027232673 0.002750872 0.0033297713 0.005155685 0.0034777967 0.003444591 0.0032705613 0.0032785626 0.0026416534 0.003372979 0.0046884045 0.0032493577 0.0033461743 0.0026600566 0.0028036812 0.0030997319 0.0025088305 0.0032521582 0.0030633258 0.0029869126 0.0026664576 0.002808482 0.0026260507 0.0027396702 0.0026624568 0.0026784595 0.0026476544 0.003455793 0.002896497 0.0026964627 0.0032489575 0.0030561243 0.0029233017 0.0026724585 0.0026312515 0.0032645601 0.0027940795 0.0028096822 0.0025728415 0.0030589248 0.0030109168 0.002547237 0.0025556386 0.008219411 0.0040991036 0.0026304515 0.0041471114 0.0040582963 0.0026020466 0.0026556556 0.0028592907 0.00373024 0.0030961314 0.0029277024 0.002813683 0.003310168 0.0027724758 0.0035518096 0.0034161862 0.005166887 0.0040634973 0.0036638288 0.003396983 0.0060742423 0.0034657947 0.00413751 0.031343777 0.01680176 1.0009866e-06 4.0039464e-07 8.007893e-07 0.002043414 1.2011839e-06 4.0039464e-07 4.0039464e-07 0.0 6.0059193e-07 0.0 4.0039464e-07 6.6065113e-06 4.0039464e-07 0.0 2.8027623e-06 0.00039178613 4.204144e-06 4.8047355e-06 3.2031571e-06 2.602565e-06 2.2021704e-06 8.007893e-07 0.0 0.0 2.0019732e-07 0.0 0.0 2.0019732e-07 0.0 0.0 0.0 0.0007489382 5.6055246e-06 7.2071034e-06 3.803749e-06 7.2071034e-06 2.4023677e-06 1.6816575e-05 1.3813615e-05 3.803749e-06 6.0059193e-07 2.0019732e-07 4.0039464e-07 2.4023677e-06 0.0 3.0029598e-06 3.803749e-06 0.0032472005 7.287182e-05 4.4644003e-05 3.643591e-05 4.4644003e-05 3.203157e-05 5.064992e-05 3.483433e-05 1.7617363e-05 4.8047355e-06 7.4073005e-06 3.0029598e-06 1.8217956e-05 5.805722e-06 1.0210063e-05 5.96588e-05 0.0016031801 1.5415193e-05 1.5214996e-05 1.0810655e-05 0.00032151688 2.0620324e-05 3.4033543e-05 0.00020740442 1.26124305e-05 8.20809e-06 8.20809e-06 7.4073005e-06 1.4614404e-05 8.20809e-06 1.6816575e-05 0.00015575351 0.006972472 0.0007603494 0.00014013812 0.00042241634 0.0013521326 0.0007739628 0.0005249174 7.5874785e-05 4.844775e-05 2.2822494e-05 0.00018097837 9.749609e-05 3.70365e-05 5.8457616e-05 0.00010830675 0.0007243139 0.006697601 0.0009451315 0.00019078804 6.746649e-05 0.0005905821 0.0003585534 0.00093372026 0.00015915686 3.6235713e-05 4.0439856e-05 0.00016155923 0.00019258981 2.5625257e-05 0.00037617076 0.00010290142 0.00019158883 0.010213867 0.0006996896 0.0008556433 0.00042862244 0.00094312953 0.00042081476 0.002537501 0.0011243081 7.9278136e-05 6.786689e-05 0.0002476441 0.00023643303 0.00028387978 0.00031831372 0.00010950793 0.00070369354 0.009090359 0.0005157083 0.00047346664 0.00029368946 0.0011483318 0.00054914126 0.002692854 0.0011929758 0.00015114897 0.00016215982 0.00020680383 0.00028728315 0.0004846777 0.00028588178 0.00026566183 0.002290057 0.011646679 0.0011118959 0.0009345211 0.0005469391 0.0016920677 0.00047867178 0.0010504354 0.00068167184 0.0002998956 0.00024023678 0.0002312279 0.00032151688 0.0010166019 0.00029689263 0.00034894393 0.0061620735 0.005147073 0.0007591482 0.0004836767 0.0007080979 0.00055494695 0.00045144494 0.00053252483 0.0004025968 0.0001941914 0.0004988917 0.00020460166 0.00026105728 0.00029689263 0.00023343007 0.0002676638 0.004993922 0.0026243867 0.00040800212 0.0003201155 0.0007279174 0.00029589163 0.00020300008 0.00032371905 0.00024444092 0.00022001685 0.000579371 0.0001343324 0.0001941914 0.00019178903 0.00022522199 0.00038818258 0.0023495157 0.00494127 0.00048647946 0.0005133059 0.0011080921 0.0009303169 0.0005095022 0.0003275228 0.00067686714 0.0018093833 0.000524517 0.00023563224 0.00043643016 0.0008192074 0.00033673187 0.0006798701 0.0028850434 0.028385578 0.0044371733 0.003605954 0.004336474 0.009538601 0.008802475 0.0037827282 0.006470377 0.01853627 0.0014494285 0.0013044857 0.0023335 0.0065728785 0.002427993 0.0071918885 0.015875448 0.018613346 0.0038305754 0.0037480942 0.004059401 0.007843531 0.0071758726 0.003523673 0.005249574 0.013225836 0.0013519324 0.0015823595 0.0021803488 0.005345869 0.0025691323 0.006064177 0.012037264 0.038684327 0.038077127 0.03828954 0.038708553 0.039179016 0.03944888 0.03921565 0.038530774 0.03840445 0.03863388 0.038997035 0.038348194 0.03821847 0.038248096 0.038356002 0.03853618 10121.0 7.550835 76422.0 0.014904086 0.005744419 0.0063463403 0.0063070846 0.010389678 0.0063594254 0.005286436 0.0062154876 0.00854466 0.0070529426 0.013137578 0.006581874 0.007105284 0.0067781527 0.0064248512 0.0059276125 0.007497841 0.0060715503 0.006006124 0.0073539033 0.0064771925 0.006280914 0.0060977205 0.0063070846 0.0066473004 0.008361466 0.0066342154 0.009355945 0.007013687 0.0063201697 0.0067519825 0.007131454 0.0066342154 0.007524011 0.006267829 0.008767109 0.009761587 0.008858706 0.00854466 0.015348983 0.010180315 0.008963387 0.012705766 0.0066473004 0.0078642275 0.0073539033 0.007275392 0.09370338 0.011593521 0.007942739 0.008165188 0.011541179 0.008636257 0.0075763525 0.009486797 0.011488838 0.014289079 0.014995682 0.0077202898 0.007772631 0.0070398576 0.006163147 0.007000602 0.015362068 0.0069220904 0.024076836 0.008034335 0.013556305 0.011436498 0.028695926 0.010978514 0.0085970005 0.0101934 0.016330376 0.0111878775 0.006791238 0.013503965 0.010703724 0.016906127 0.017324854 0.009578394 0.006267829 0.019326895 0.013922692 0.024377797 0.011789799 0.0071445396 0.007681034 0.007615608 0.008583915 0.006686556 0.020216692 0.006411766 0.0063201697 0.005574311 0.006673471 6.2869644 0.0 0.0 0.0 29.0 2499571.0 2527232.0 0.0 0.0 17.0 0.0 1.0 0.0 0.0 0.0 1422673000.0 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 -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 12.0 0.0 5.0 1.0 5.0 1.0 581120.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -691712.0 0.0 1567232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6794696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1991657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.567734 0.0 7.911687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188654.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -691458.0 0.0 1568768.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 762924.0 1566848.0 815104.0 0.0 0.0 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 673920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.44615108 0.011039402 0.005636464 0.0038107168 0.0037470278 0.0017832881 0.0024307915 0.0016983695 0.0029509172 0.0017620585 0.00476605 0.0011357847 0.0013586957 0.0011782439 0.0017726732 0.001061481 0.0013056216 0.0012207031 0.0024201765 0.0011888586 0.00083856995 0.00081734033 0.0011357847 0.0007642663 0.00092348846 0.0009447181 0.0008067255 0.0006368886 0.0009447181 0.00068996265 0.00091287366 0.0007430367 0.005307405 0.00088102923 0.0009871774 0.0014011549 0.0007854959 0.0006581182 0.0013056216 0.0009553329 0.0016559103 0.0009659477 0.001167629 0.0009765625 0.0014223845 0.00139054 0.002897843 0.0005413553 0.001730214 0.002176036 0.0019106658 0.0015603771 0.0010933254 0.0008067255 0.00066873303 0.0008597996 0.001114555 0.0009553329 0.00066873303 0.00049889606 0.0005519701 0.0009871774 0.0008067255 0.0005625849 0.00082795514 0.0013693104 0.0011039402 0.0029084578 0.0016771399 0.002282184 0.0015391475 0.0009659477 0.00088102923 0.0021441916 0.0005731997 0.0005519701 0.0011357847 0.001231318 0.0013586957 0.00092348846 0.0021441916 0.00066873303 0.0025793987 0.0036196501 0.0015179178 0.0009659477 0.0018575917 0.0011039402 0.0008067255 0.00038213315 0.00039274796 0.00049889606 0.00068996265 0.0007324219 0.00045643683 0.0024095618 0.0008597996 0.005700153 0.0019318954 0.0038001018 0.0025793987 0.013257897 0.0015922214 0.0026112432 0.0013374661 0.007207456 0.001008407 0.001114555 0.0046599014 0.004352072 0.005763842 0.010646654 0.003630265 0.0007642663 0.012928838 0.006719175 0.009404722 0.0039911685 0.0013799253 0.0018257473 0.0012100883 0.0022609546 0.0008597996 0.0023140286 0.0012631624 0.0010933254 0.0010402513 0.00083856995 0.0028129246 0.0016452955 0.0009765625 0.0007854959 0.0011570143 0.001114555 0.0014223845 0.0009341033 0.0010720958 0.0011039402 0.0021335767 0.0011570143 0.00091287366 0.00067934784 0.0007324219 0.0016028363 0.0009871774 0.0009659477 0.00091287366 0.0010190217 0.0007430367 0.00070057745 0.0007642663 0.00081734033 0.00083856995 0.0007536515 0.0009977921 0.0010827106 0.0011251698 0.0010508662 0.0009871774 0.0009341033 0.0010720958 0.0011357847 0.0010296366 0.0011994735 0.00068996265 0.00089164404 0.0007961107 0.0016983695 0.0007961107 0.0013480808 0.0010296366 0.00071119226 0.0010190217 0.0013268512 0.0010402513 0.0011888586 0.0014754586 0.0009765625 0.001231318 0.001507303 0.0010402513 0.0009765625 0.0009765625 0.001008407 0.0015497622 0.0017726732 0.001167629 0.0008597996 0.0012525476 0.00139054 0.0011357847 0.0005944293 0.0014436141 0.001061481 0.00088102923 0.0017408289 0.0008704144 0.0009765625 0.00084918475 0.0009765625 0.0012419327 0.0007854959 0.0010190217 0.0008597996 0.0011570143 0.0015816067 0.0012419327 0.00070057745 0.0010933254 0.0010933254 0.00060504413 0.0010508662 0.0013374661 0.0011570143 0.0012419327 0.0010402513 0.0011570143 0.001284392 0.0016452955 0.002345873 0.001953125 0.0016983695 0.00222911 0.0014648438 0.0024307915 0.0019106658 0.002122962 0.0017514436 0.0015922214 0.001507303 0.0014860734 0.0018575917 0.0015709918 0.0015179178 0.0023140286 0.0018469769 0.002632473 0.0037576426 0.0027173914 0.0022184954 0.0031632134 0.0024307915 0.0027492358 0.0028553838 0.0021972656 0.0026961616 0.0020592732 0.0026855469 0.0029403022 0.001953125 0.002069888 0.0017620585 0.003237517 0.0019000509 0.0034285835 0.10696544 0.10985792 0.0 0.0 1.0731456e-05 1.0731456e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0731456e-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 0.020464886 7.5120195e-05 0.0001717033 1.0731456e-05 0.00015560612 0.00010731456 0.0005204756 0.00030048078 2.682864e-05 1.0731456e-05 5.365728e-06 3.219437e-05 1.6097185e-05 2.1462913e-05 3.7560098e-05 2.1462913e-05 0.019144917 4.2925825e-05 0.00042389252 0.00023609203 0.00017706903 9.6583106e-05 0.000987294 0.00058486435 0.00011268029 1.0731456e-05 3.7560098e-05 2.682864e-05 1.0731456e-05 1.0731456e-05 5.365728e-05 2.1462913e-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 0.008864183 0.00031657796 0.00042389252 8.048592e-05 8.048592e-05 2.1462913e-05 0.0002629207 0.00056340144 7.5120195e-05 5.365728e-05 4.2925825e-05 1.0731456e-05 3.7560098e-05 3.7560098e-05 5.365728e-05 6.438874e-05 0.023834564 0.00011804602 0.0008370536 0.000611693 0.00013950893 0.00014487466 0.0017814217 0.001223386 0.0001717033 4.2925825e-05 0.00020389767 0.00010731456 0.00027901787 0.00019316621 0.00041316106 0.0028652987 0.020684881 0.00065998454 0.0010141226 0.0003058465 0.0024306749 0.0016741072 0.0115094865 0.0070988582 0.00028974933 0.00027901787 0.00027901787 0.0002629207 0.00043462397 0.0010892428 0.0009926597 0.005939861 0.031207073 0.0014326493 0.0023931146 0.0012555803 0.0028116414 0.0020443425 0.011970939 0.0089393025 0.00060632726 0.00039169815 0.00034877233 0.0004185268 0.00033804087 0.0003809667 0.00047218407 0.0009229052 0.07267879 0.0027311556 0.0031604138 0.001953125 0.0029940763 0.0031872424 0.01101584 0.0087890625 0.0036218665 0.0024414062 0.0028277386 0.0026721326 0.0028116414 0.0044481885 0.0060793697 0.03342312 0.050598815 0.002543355 0.002999442 0.002130194 0.0027579842 0.0030852936 0.009905134 0.007458362 0.0032677283 0.0026721326 0.0028706645 0.002859933 0.0030262705 0.0029350533 0.00434624 0.02841153 0.075576276 0.0050169555 0.007200807 0.005354997 0.0055535287 0.0061652213 0.017309839 0.011675824 0.0058271806 0.00453404 0.0047486695 0.0057735234 0.0051457332 0.007554945 0.011160715 0.052170973 0.03208169 0.0018994677 0.002505795 0.0023931146 0.0020228794 0.0020550739 0.0019155649 0.002446772 0.0031282194 0.0024736007 0.0025701837 0.0032408996 0.0024521376 0.0035038204 0.0060740043 0.017148867 0.016048893 0.0010677798 0.0015345982 0.0018243475 0.0014648438 0.001577524 0.001223386 0.0021570227 0.002205314 0.001164363 0.002012148 0.0022428744 0.0018028846 0.0014648438 0.0026399381 0.0035252834 0.006358388 0.00050437846 0.00077803055 0.0009604653 0.0010194883 0.00086924795 0.0006170587 0.0007672991 0.00110534 0.00075656764 0.0012072888 0.0014433808 0.0012072888 0.0009819282 0.001244849 0.0021570227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 495.0 17.50505 8665.0 0.032660127 0.00023081362 0.0028851703 0.0021927294 0.000577034 0.00023081362 0.0039238315 0.0 0.0017311021 0.00092325447 0.0 0.00023081362 0.0033467975 0.0039238315 0.018234275 0.00092325447 0.009117138 0.0055395267 0.008540104 0.004154645 0.002308136 0.0021927294 0.0013848817 0.003115984 0.0034622042 0.0027697633 0.0012694749 0.0 0.0021927294 0.0038084248 0.0013848817 0.00023081362 0.00080784765 0.0076168496 0.004616272 0.016041547 0.010963647 0.008540104 0.005654934 0.002423543 0.0012694749 0.009232544 0.00023081362 0.0016156953 0.0026543566 0.00542412 0.0034622042 0.0025389497 0.0099249855 0.00046162723 0.011425274 0.019272937 0.0075014425 0.0020773225 0.005654934 0.0015002885 0.0010386612 0.0 0.00011540681 0.00069244084 0.001154068 0.00011540681 0.00034622042 0.009578765 0.000577034 0.04304674 0.012694749 0.02527409 0.015695326 0.10063474 0.006578188 0.017772648 0.0058857473 0.050201964 0.0032313906 0.0034622042 0.030698212 0.027928447 0.041084822 0.06070398 0.01373341 0.00092325447 0.088170804 0.041546453 0.07236007 0.026658973 0.004847086 0.00796307 0.0049624927 0.010963647 0.0016156953 0.001154068 0.0010386612 0.00069244084 0.00023081362 0.00023081362 5.229798 0.0 0.0 0.0 1.0 94208.0 106496.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540825300.0 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 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 -53248.0 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 -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 -5.586683 0.0 5.0106363 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 -49476.0 0.0 29000.0 0.0 0.0 0.0 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 75.0 57584.0 29000.0 65536.0 0.0 0.0 0.0 0.0 12.0 98304.0 28.0 57272.0 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: 0.08234562 0.007968296 0.005003587 0.0043137353 0.008405648 0.0032250758 0.003994374 0.0037324352 0.0060757278 0.0027948034 0.0030103328 0.0027428875 0.004869078 0.002940325 0.0027027708 0.0073649716 0.005851546 0.0028640246 0.0024431914 0.0024990404 0.0042799115 0.0033997018 0.002567475 0.002553316 0.0034948809 0.0025108394 0.0024825216 0.002410154 0.00292066 0.0025973658 0.002394422 0.0027948034 0.0061284304 0.0023173348 0.0024463378 0.0025855668 0.0051176446 0.00242038 0.0023181215 0.0024927475 0.0031755196 0.002769632 0.002416447 0.003101579 0.0028899824 0.003022132 0.0026933316 0.0030441568 0.0049508843 0.0050838203 0.0033934088 0.0043137353 0.0035884867 0.0034374588 0.0032832844 0.0032400212 0.003734795 0.0041225906 0.0030724746 0.0035436503 0.0032911503 0.0033367735 0.003148775 0.004245301 0.0039463914 0.0041304566 0.0034343123 0.0037064771 0.0040934864 0.008960991 0.006738835 0.0038795301 0.0039345925 0.0032628328 0.0027562599 0.0029552705 0.0033934088 0.0048132287 0.0035027468 0.0031755196 0.005897169 0.003819748 0.0034799352 0.0044844286 0.003280138 0.0046087117 0.005086967 0.0049721226 0.0031912518 0.0038079491 0.002944258 0.002936392 0.00267052 0.0041855187 0.0036348964 0.0036671471 0.0025470231 0.005122364 0.0030716879 0.0036875987 0.004207544 0.0064391387 0.004530838 0.0032714852 0.005097979 0.004826601 0.004284631 0.0030024669 0.0044938675 0.0035365708 0.0048950356 0.0049548177 0.0037104103 0.0027845774 0.0053378935 0.004940659 0.007910875 0.0069748163 0.0037450208 0.0033053092 0.003432739 0.0033029495 0.0028970619 0.0024652164 0.0028278409 0.0034681363 0.0029851615 0.0032329417 0.0034571239 0.0029529107 0.0027090635 0.0084953215 0.0035743278 0.005196305 0.0024628565 0.0024612835 0.0029953874 0.012262367 0.0030315712 0.01247003 0.0025761274 0.006430486 0.0024589235 0.0024125138 0.0026154576 0.0023008161 0.0023126153 0.0023322804 0.0025084796 0.0025305045 0.0022559797 0.0023456526 0.0024235265 0.0023684641 0.0022331683 0.0023338536 0.0024219532 0.0025682615 0.0024526308 0.00271221 0.0028286274 0.0027177162 0.002811322 0.002485668 0.0025894998 0.0022929502 0.0022174362 0.0024266727 0.0026162444 0.0023377866 0.0022764315 0.0023928487 0.0023480125 0.0023637444 0.0024825216 0.002595006 0.0025973658 0.002304749 0.0023480125 0.0023920622 0.0026414157 0.0024644297 0.0027916569 0.0026862521 0.003097646 0.0025108394 0.0026068052 0.002406221 0.002787724 0.0026587208 0.0027310885 0.0029953874 0.005484202 0.0038512123 0.0033768902 0.0040399972 0.004533984 0.0025084796 0.0033587983 0.0046511884 0.0030669684 0.0031369762 0.0025863533 0.002428246 0.0041981046 0.002386556 0.0028537987 0.0027664856 0.0031023654 0.0026689467 0.002735808 0.0025588223 0.002779858 0.0024762289 0.002507693 0.002588713 0.0032400212 0.0029536975 0.0024785886 0.002882903 0.0027373813 0.0025957925 0.002359025 0.0026933316 0.0032636193 0.0027153564 0.002622537 0.002588713 0.003111018 0.0032313685 0.0024589235 0.0025643285 0.010107072 0.0035578092 0.0025478099 0.0042657526 0.003992801 0.002694118 0.0026012987 0.0025470231 0.0046024187 0.0038590783 0.0038622248 0.0030944995 0.0033053092 0.0028380665 0.003613658 0.0036105115 0.0044372324 0.0039117807 0.0032738452 0.0030889933 0.0039518974 0.0034217266 0.004607925 0.025676321 0.0032242313 3.937752e-07 3.937752e-07 0.0 3.937752e-07 0.0 0.0 0.0 3.937752e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007509293 4.331527e-06 8.2692795e-06 5.906628e-06 2.7564265e-06 1.5751008e-06 1.5751008e-06 1.1813256e-06 2.2051412e-05 3.937752e-07 1.1813256e-06 7.875504e-07 1.1813256e-06 1.1813256e-06 1.968876e-06 1.1813256e-06 0.00071548956 1.2994582e-05 1.1025706e-05 7.481729e-06 4.331527e-06 3.1502016e-06 3.1502016e-06 2.7564265e-06 2.5595387e-05 2.3626512e-06 2.7564265e-06 2.7564265e-06 3.1502016e-06 3.1502016e-06 3.5439768e-06 2.7564265e-06 0.0010372038 2.4414063e-05 8.663054e-06 4.7253025e-06 7.875504e-06 7.875504e-06 6.300403e-06 5.906628e-06 6.300403e-06 5.1190777e-06 5.1190777e-06 3.937752e-06 6.6941784e-06 5.1190777e-06 2.3232737e-05 0.0004544166 0.0017400926 1.5751008e-05 6.1035156e-05 3.2289565e-05 8.466167e-05 1.3782132e-05 1.02381555e-05 9.84438e-06 2.0870086e-05 8.663054e-06 8.2692795e-06 1.2207031e-05 5.3159652e-05 3.110824e-05 2.953314e-05 0.0019007529 0.0022547569 4.3709046e-05 0.0001476657 1.063193e-05 7.717994e-05 4.6465473e-05 0.00025516632 0.00015672253 1.1419481e-05 1.968876e-05 2.5201613e-05 2.2051412e-05 3.8983744e-05 0.00035400392 0.0003685736 0.0026193927 0.007080078 6.379158e-05 0.00085212954 9.489982e-05 0.00029926916 0.00023035849 0.002723743 0.0014443675 4.2921496e-05 1.4175907e-05 3.701487e-05 2.6382939e-05 7.481729e-05 7.757371e-05 0.00012128276 0.00052687124 0.008231871 0.00023902155 0.0009812878 0.00084267894 0.001236848 0.0003512475 0.003149414 0.001641255 0.00010238155 8.229902e-05 9.568738e-05 0.00012482674 0.00017838017 0.00028666834 0.0007568359 0.0026670394 0.010429923 0.00026894847 0.0020988218 0.0048725745 0.0074844854 0.004935972 0.010824487 0.006859564 0.00022878339 0.0001319147 0.0001508159 0.00012876448 0.00014215284 0.00018546812 0.00045599169 0.0016077842 0.0070304624 0.0002413842 0.0009994014 0.0009805002 0.0016310168 0.00085016066 0.0039078253 0.0020992155 0.00035400392 0.00013624622 0.00016577936 0.00014254662 0.00023469001 0.00016656691 0.00024965347 0.0009718372 0.0077152373 0.0008324408 0.0013167843 0.006341356 0.0017074093 0.0010883947 0.0035585465 0.0020488123 0.0008915071 0.0005725491 0.0006221648 0.00061035156 0.0005926317 0.0005729429 0.0005615234 0.0008060578 0.0023228799 0.00026658582 0.00028745588 0.0012289725 0.00071548956 0.0008666992 0.0007430538 0.0004303963 0.0016345609 0.0003110824 0.00029139366 0.00035045992 0.0005701865 0.000324077 0.00062137726 0.002745007 0.0320029 0.005949156 0.0041681104 0.004683562 0.008792213 0.009210796 0.0034742786 0.0064346804 0.019815555 0.0013636436 0.0015333607 0.0027032667 0.0098684 0.003032463 0.007942052 0.013702983 0.02909605 0.0063263923 0.0043118387 0.005978295 0.010335417 0.011057995 0.005215946 0.0071899416 0.019029975 0.0017952211 0.0025666268 0.0034514396 0.009247417 0.0037652785 0.008880812 0.015299742 0.03691997 0.033823714 0.03373472 0.03477153 0.03437303 0.03407258 0.034158424 0.035063714 0.03385049 0.034316722 0.034323417 0.034489587 0.034280494 0.03460339 0.034918018 0.03794536 5675.0 15.646696 88795.0 0.020631792 0.0022298554 0.0037051635 0.0025339264 0.0040655443 0.0023875218 0.0026240216 0.0035024495 0.0031645927 0.0027479024 0.002252379 0.007995945 0.0038065207 0.005394448 0.00516921 0.01057492 0.016802749 0.012444395 0.011689847 0.010980348 0.01253449 0.011948871 0.011273157 0.011239371 0.012421871 0.01224168 0.00712878 0.004606115 0.0067120898 0.0051129004 0.0049777576 0.005371924 0.004110592 0.011892562 0.009595135 0.010878991 0.0115659665 0.010676277 0.010788896 0.013007489 0.009741539 0.0116448 0.007860803 0.009054564 0.010405991 0.009155921 0.009876682 0.009099611 0.013007489 0.009842897 0.0103271585 0.012770989 0.010766372 0.00956135 0.0109465625 0.011689847 0.009955515 0.009628921 0.008525255 0.004403401 0.0030519736 0.0041331155 0.004414663 0.0071175178 0.0036038065 0.025282955 0.011937609 0.017343318 0.019426769 0.03541866 0.012692156 0.013379131 0.012647108 0.025001409 0.009133398 0.00897573 0.02181429 0.013852132 0.023379695 0.025620813 0.015428796 0.008829326 0.02448336 0.020823244 0.029618785 0.015023368 0.011002872 0.010856467 0.010822682 0.011520919 0.008209921 0.0024438312 0.0030970213 0.0028605214 0.0027704262 0.0029280928 6.323568 1.0 37.0 4.0 18.0 1271288.0 1286144.0 1.0 0.0 150.0 1.0 1.0 1.0 1.0 0.0 1538607700.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 336896.0 1536.0 4096.0 9.0 0.0 0.0 1.0 4.0 0.0 0.0 -512.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 88064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 512.0 0.0 0.0 0.0 4096.0 0.0 0.0 -336896.0 0.0 804864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.7052 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 5.891168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5014265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6419144 0.0 7.9058123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -15316.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 87828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8564.0 0.0 4.0 0.0 0.0 0.0 3656.0 0.0 0.0 -336743.0 0.0 804448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 425700.0 804448.0 462848.0 0.0 0.0 14328.0 1256960.0 15316.0 1269760.0 28.0 416152.0 0.0 0.0 0.0 0.0 24.0 415360.0 160.0 382768.0 0.0 0.0 604.0 426344.0 608.0 421320.0 0.0 0.0


Input: 0.15877946 0.022039361 0.013116889 0.008047302 0.012305755 0.006211578 0.008271431 0.0053790985 0.005325734 0.0033619364 0.0099150445 0.0035967384 0.02772797 0.002935024 0.004952186 0.0022519638 0.0034579919 0.0069159837 0.0031164617 0.0030204065 0.0040343236 0.005058914 0.0029670424 0.0038422132 0.0031911714 0.0027322404 0.002476093 0.0019851434 0.001953125 0.0013447746 0.0022199454 0.0035327014 0.008282104 0.0025614754 0.0028069501 0.0025401297 0.00568861 0.0032658812 0.0022733095 0.0025508027 0.0030844433 0.0046746926 0.0035967384 0.001953125 0.0025081113 0.0019317793 0.004012978 0.0016863047 0.0033085723 0.0032125171 0.0030524249 0.004824112 0.002935024 0.0034686646 0.002529457 0.0024974386 0.0044932547 0.0020385075 0.0019744707 0.0013661202 0.0015262124 0.0020385075 0.0017289959 0.0025187843 0.0017289959 0.0036074112 0.0051336237 0.0038849043 0.0026361851 0.0024974386 0.0040556695 0.0037141393 0.00314848 0.010405994 0.0034579919 0.002187927 0.001953125 0.004525273 0.0017610143 0.0016756319 0.002988388 0.0023907104 0.0033405907 0.003682121 0.0028496415 0.0038955773 0.0026148395 0.0033192453 0.002134563 0.0020918716 0.0018890881 0.0017610143 0.0019104338 0.0039809598 0.0019317793 0.00288166 0.0013874659 0.0075029884 0.008335468 0.0041090334 0.006894638 0.012604593 0.0044932547 0.004706711 0.004077015 0.008431523 0.0016863047 0.0022092725 0.006937329 0.00390625 0.0064036883 0.012295082 0.0042371075 0.002358692 0.008655652 0.0089118 0.009456113 0.0054431353 0.0035753928 0.0025721483 0.002412056 0.0038208675 0.0018784154 0.0046746926 0.0012273736 0.0018037056 0.0015689037 0.0026361851 0.0031164617 0.0016436133 0.0018784154 0.0017716872 0.00178236 0.0018784154 0.0039382684 0.0020171618 0.0015689037 0.0016329406 0.004525273 0.0016863047 0.0014194843 0.001664959 0.0013234289 0.0018037056 0.0018784154 0.002134563 0.0069800206 0.0023800377 0.002358692 0.002070526 0.002177254 0.0026041667 0.0014621755 0.0020491802 0.0018677425 0.0012167008 0.0013234289 0.0013020834 0.0011846824 0.0023266736 0.0009925717 0.002294655 0.0018890881 0.0021665813 0.0030524249 0.0023266736 0.0018784154 0.0025081113 0.0016542862 0.001953125 0.0015475581 0.0025614754 0.0017289959 0.0018890881 0.0043331627 0.001664959 0.0010566086 0.0032231899 0.0034366462 0.0023160006 0.0030630976 0.0028282958 0.0021985997 0.0023160006 0.0016329406 0.0019744707 0.0018250513 0.0036394296 0.0013341018 0.0015582308 0.0010992999 0.0019424522 0.0015262124 0.0018143784 0.0018570697 0.0020171618 0.0025614754 0.0050055496 0.0019851434 0.0022733095 0.0016115949 0.002134563 0.00178236 0.0017289959 0.0039275954 0.0014621755 0.001088627 0.0013447746 0.0017503415 0.0023160006 0.0024654202 0.0027215676 0.0026041667 0.0024974386 0.0024227288 0.0043011443 0.0027749317 0.0020385075 0.0024013831 0.0021025443 0.0013874659 0.0018997609 0.0014088114 0.0014088114 0.0011846824 0.0022092725 0.002294655 0.0017930327 0.002358692 0.0018677425 0.0021985997 0.0018570697 0.0023266736 0.0020171618 0.002134563 0.0012273736 0.002305328 0.0020385075 0.0018143784 0.0010459358 0.0017396687 0.0019851434 0.0022092725 0.0021132173 0.0023266736 0.0026682036 0.0021452357 0.0016863047 0.0016756319 0.0017610143 0.002358692 0.0014301571 0.0016329406 0.0022306181 0.0022199454 0.025422644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007454427 0.0014431423 0.0004503038 4.340278e-05 0.0001030816 3.7977432e-05 0.00050998264 0.0008192274 4.340278e-05 2.170139e-05 2.7126736e-05 2.7126736e-05 4.8828126e-05 0.0 1.0850695e-05 7.052952e-05 0.04230143 0.005300564 0.006201172 0.0012803819 0.0004503038 0.00013020834 0.0035698784 0.006325955 0.00013563369 8.680556e-05 0.000124783 7.052952e-05 0.00036892362 5.967882e-05 0.00016818577 9.2230905e-05 0.008436415 0.00060221355 0.0007921007 0.0004503038 0.0010959201 0.0008626302 0.0053331163 0.003531901 0.00015190973 0.00020073785 0.000108506945 0.00013020834 7.052952e-05 7.5954864e-05 0.00013563369 0.00024414062 0.009423828 0.00024414062 0.0009385851 0.00086805556 0.0008029514 0.0006890191 0.0055067274 0.003108724 0.00018988716 6.510417e-05 7.5954864e-05 0.0001030816 4.8828126e-05 9.2230905e-05 3.7977432e-05 2.7126736e-05 0.013009982 0.0010416667 0.0011610243 0.0018012152 0.0011176215 0.0012803819 0.007378472 0.004546441 0.0003797743 0.0003092448 0.00028211807 0.0001953125 0.00016818577 0.00016818577 0.00014648438 0.00034722223 0.008729383 0.00080837676 0.0011067708 0.0013075087 0.001312934 0.0010904948 0.003889974 0.001985677 0.00018988716 0.00011393229 0.0001953125 0.00017361112 0.00011935764 0.00014105903 0.00018988716 0.00086805556 0.033761937 0.0040093316 0.0038791234 0.0032931857 0.0065212674 0.002718099 0.009955512 0.0047905818 0.0021538627 0.00202908 0.0016276041 0.0018663194 0.0016655816 0.001996528 0.0018663194 0.006754557 0.044281684 0.0060221353 0.005978733 0.0052734376 0.009299045 0.0049750432 0.013541667 0.007248264 0.003938802 0.0037760416 0.0033908421 0.00422092 0.0036349827 0.004014757 0.0034776477 0.010259331 0.063237846 0.012087674 0.0121202255 0.009982639 0.015462239 0.010335286 0.019569227 0.012364366 0.0081977 0.010367839 0.008648003 0.009288195 0.008192275 0.009532335 0.00836046 0.0155870225 0.057161458 0.020442707 0.020914713 0.019504122 0.020920139 0.02217882 0.026535373 0.020551216 0.018777126 0.018918186 0.020496963 0.019905599 0.020345053 0.021028645 0.016769748 0.022216797 922.0 12.652928 11666.0 0.042688154 0.0006857535 0.0039430824 0.0012857878 0.0025715756 0.0006857535 0.0006857535 0.005143151 0.0022286987 0.002743014 0.0038573632 0.0010286302 0.0058289045 0.0024858564 0.017315276 0.000942911 0.011400651 0.006857535 0.0019715412 0.0058289045 0.0038573632 0.0048002745 0.0032573289 0.007971884 0.0053145895 0.004543117 0.0041145207 0.0010286302 0.001885822 0.007114692 0.0019715412 0.0011143493 0.00077147264 0.010714898 0.007114692 0.011829248 0.0063432194 0.006600377 0.009857706 0.012257843 0.005657466 0.011057775 0.007971884 0.0024858564 0.005657466 0.0030001714 0.002743014 0.000942911 0.0091719525 0.0050574318 0.005914624 0.011829248 0.006857535 0.006600377 0.0041145207 0.006086062 0.005914624 0.0039430824 0.0035144866 0.0012857878 0.0022286987 0.0012000686 0.0006857535 0.0058289045 0.0010286302 0.042773873 0.01997257 0.012515001 0.018686783 0.072947025 0.011657809 0.02743014 0.012257843 0.05246014 0.0034287674 0.0034287674 0.040288016 0.015943768 0.039430823 0.046631236 0.012172124 0.0030858906 0.04183096 0.03900223 0.056917537 0.023315618 0.006086062 0.01157209 0.007543288 0.01688668 0.0043716785 0.000942911 0.00034287674 0.00085719186 0.00085719186 0.000942911 5.667165 1.0 0.0 0.0 3.0 93696.0 122880.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1519733100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 48.0 0.0 4.0 0.0 6.0 0.0 91136.0 512.0 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 -91136.0 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 -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 -7.0988193 0.0 4.23605 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 -91072.0 0.0 1452.0 0.0 0.0 0.0 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 99176.0 1452.0 106496.0 0.0 0.0 0.0 0.0 12.0 114688.0 28.0 98864.0 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