Input: 0.27160394 0.03510443 0.024083227 0.015764508 0.020459982 0.0073541137 0.020248724 0.0067004147 0.011579241 0.0042091836 0.010746174 0.0035953445 0.0036152743 0.002495217 0.0038743622 0.0044603 0.006369579 0.00970185 0.005568399 0.0057557398 0.0013871173 0.0017697704 0.0034438774 0.0023078762 0.003252551 0.0017617985 0.0013831314 0.0030452807 0.0020129145 0.002060746 0.0019889986 0.0013313137 0.0061662947 0.0016661352 0.0024992027 0.0027024872 0.0013990753 0.0026785715 0.0015066965 0.0011439732 0.011862244 0.0017179528 0.0060586734 0.001434949 0.0009646046 0.00070950255 0.0028977997 0.002471301 0.0052893814 0.0027662627 0.0015983738 0.002351722 0.0012994261 0.0014827806 0.0013313137 0.0007971939 0.005951052 0.0031967475 0.0026985013 0.0012994261 0.0011997768 0.00078523596 0.0009845344 0.0025868942 0.002208227 0.0050302935 0.0042809313 0.0041374364 0.002726403 0.0026466837 0.0022959183 0.0030412946 0.0014548788 0.0036949937 0.0014668368 0.0005620217 0.00207669 0.0024234694 0.0033003828 0.001554528 0.0027064732 0.00072544644 0.003762755 0.004272959 0.003655134 0.0023118623 0.0052853953 0.001163903 0.0020009566 0.0021165498 0.0017697704 0.00097257656 0.0008529975 0.00051419006 0.00081712374 0.005711894 0.0014030612 0.018080357 0.003256537 0.007541454 0.0075374683 0.028400032 0.0022520728 0.0060825893 0.0044722576 0.015290178 0.0017179528 0.0026586417 0.009650032 0.0058035715 0.016521843 0.0151187815 0.007114955 0.0008689413 0.015369898 0.011611129 0.023114637 0.0066007655 0.0022002552 0.0014987245 0.0025071749 0.004958546 0.0011041135 0.005038265 0.0011200574 0.0021364796 0.0012715242 0.0006218112 0.0061822385 0.004312819 0.001705995 0.0010004783 0.0012117347 0.0018096301 0.0038903062 0.0005341199 0.0012874681 0.0012077488 0.0006855867 0.0005500638 0.0018494898 0.0009287309 0.0005739796 0.00087691325 0.0006218112 0.0013352997 0.0007613202 0.0008689413 0.0008410395 0.00062978314 0.0034837374 0.0007015306 0.0008529975 0.0009446748 0.0008370536 0.00064971304 0.0007653061 0.0004823023 0.00043048468 0.00043845663 0.0008968431 0.00082908163 0.0011798469 0.0010522959 0.0006576849 0.0011519452 0.0010084503 0.0004942602 0.0005859375 0.00044642857 0.0008569834 0.0007134885 0.0008450255 0.0009327168 0.00073740433 0.0010164222 0.0005341199 0.00044642857 0.00035873725 0.0007932079 0.000653699 0.000518176 0.00031489157 0.00038265306 0.0005939094 0.00041454082 0.0010921556 0.00040656887 0.0004185268 0.00039461098 0.00086096936 0.0006656569 0.0012675383 0.0008370536 0.00064572704 0.0006218112 0.00053810584 0.0007134885 0.0011997768 0.00026307398 0.00043447065 0.0004663584 0.00029496173 0.00038663903 0.0005500638 0.00044642857 0.0006377551 0.00029496173 0.0016143176 0.0005022322 0.00031887754 0.00042649874 0.00038663903 0.00032286352 0.00034279336 0.0004025829 0.00077327807 0.0004424426 0.0002830038 0.0010283801 0.0010722257 0.0009606186 0.00054209185 0.00030691965 0.0007613202 0.0007015306 0.0003667092 0.00095264666 0.00051419006 0.00034677933 0.0005460778 0.0003667092 0.0004902742 0.00047034438 0.00058992347 0.0005062181 0.0008051658 0.0007493622 0.0003109056 0.0007932079 0.0010124362 0.00038265306 0.00034677933 0.0003507653 0.00045041455 0.00029496173 0.0002989477 0.00038265306 0.0006696429 0.0002869898 0.00084901147 0.0004185268 0.0005022322 0.00043447065 0.0008330676 0.0013871173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01251721 0.0010205879 0.00077444606 0.00030817752 9.205302e-05 0.00013007493 0.0005463147 0.00025614753 3.4019595e-05 2.4013832e-05 2.0011526e-06 0.00022613026 4.002305e-06 0.0004442559 1.0005763e-05 4.002305e-06 0.011902856 0.0012026927 0.001218702 0.0005703285 0.00018410604 9.405417e-05 9.605533e-05 0.00043425013 0.000108062246 4.4025357e-05 1.600922e-05 0.00012207031 5.0028815e-05 0.00024814293 2.2012679e-05 8.0046106e-05 0.061487418 0.005805344 0.0074703027 0.0034940126 0.01213499 0.010223889 0.064941406 0.033427253 0.0010566086 0.00036621094 0.0011326524 0.00018010374 0.0006803919 0.0010365971 0.00076243916 0.0007184138 0.16504307 0.013805952 0.0168417 0.010283924 0.0067118662 0.007212154 0.023751682 0.020723937 0.004604652 0.002649526 0.0037461577 0.0020391745 0.0026775422 0.0025874905 0.0019070985 0.0022993244 0.03654505 0.004116371 0.0031418097 0.005541192 0.0060514854 0.0044005346 0.014436316 0.010061796 0.0015588979 0.0010966316 0.00080046104 0.00045626282 0.00039022477 0.00033219135 0.0006543769 0.0005803343 0.063050315 0.010648133 0.008156698 0.0049628587 0.0066918544 0.004364514 0.021260247 0.0095454985 0.005259029 0.0025494685 0.002529457 0.001572906 0.0016409452 0.0016969774 0.0017990363 0.0018130443 0.08091061 0.013365699 0.008252754 0.0063516586 0.007772477 0.00680592 0.018288534 0.011268491 0.010634125 0.006237593 0.003934266 0.0033239145 0.0031217982 0.0025594742 0.0030337474 0.0026635341 0.0050549116 0.00091452675 0.00060634926 0.0011326524 0.0012967469 0.0013747918 0.0014048092 0.000878506 0.0015669025 0.00042024205 0.00039622822 0.00024414062 0.00022613026 0.00028616484 0.00024614178 0.00034419826 0.0072281635 0.001977139 0.0011646708 0.0026755412 0.0019511238 0.0034519883 0.0013007493 0.0007244173 0.0032818904 0.0011126408 0.00076444034 0.00062435964 0.00076243916 0.00053430774 0.00073842535 0.00039622822 0.00061835616 0.000406234 0.00028616484 0.00039622822 0.00013407723 0.0007144115 0.00015608991 8.0046106e-05 0.00061435386 0.00020211643 0.00013607838 8.8050714e-05 7.20415e-05 3.4019595e-05 0.00012607261 3.4019595e-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 3436.0 16.644062 57189.0 0.0040217526 0.00066446344 0.0006120058 0.0004546329 0.00027977407 0.00020983056 0.00024480233 0.00038468937 0.0006120058 0.00048960466 8.74294e-05 0.00027977407 0.00019234468 0.00012240116 0.0072391545 0.0050883912 0.0025879103 0.0056829113 0.0034097466 0.0024130514 0.0019234468 0.0017136163 0.0022731645 0.00092675164 0.002605396 0.000874294 0.0030600291 0.00010491528 0.00076937873 0.0001748588 0.00082183635 0.0003672035 0.00010491528 0.012414975 0.010998619 0.011295878 0.005962685 0.0073615555 0.0059277136 0.010159296 0.002465509 0.01251989 0.0037944359 0.0008917799 0.004616272 0.008026019 0.005070905 0.0034622042 0.008638024 0.00047211876 0.012659777 0.01608701 0.010491529 0.0076763015 0.002902656 0.002045848 0.0010141811 0.00031474585 0.00012240116 6.994352e-05 3.497176e-05 0.00010491528 3.497176e-05 0.017748168 0.0004546329 0.054083828 0.008935285 0.027557747 0.026508594 0.110370874 0.005962685 0.021245344 0.013901275 0.059032332 0.003217402 0.008026019 0.03509416 0.020266134 0.06238962 0.047806397 0.019916417 0.00071692106 0.05278987 0.037961844 0.09024463 0.02176992 0.0058927415 0.0029725996 0.00725664 0.01787057 0.0013464128 1.748588e-05 3.497176e-05 3.497176e-05 5.245764e-05 8.74294e-05 5.1265635 0.0 0.0 0.0 1.0 250880.0 278528.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 248832.0 512.0 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 -248832.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.909457 0.0 2.5361156 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 -248628.0 0.0 1024.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 256732.0 1024.0 262144.0 0.0 0.0 0.0 0.0 12.0 270336.0 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: 0.13823275 0.008375621 0.004062333 0.00332274 0.0060567013 0.0038318892 0.0019690313 0.0019026729 0.0076505067 0.0014659148 0.0016517179 0.0014610887 0.004438766 0.0013319916 0.001194449 0.0037751829 0.0059818975 0.0014610887 0.0011522211 0.0008698967 0.0023985503 0.0019243902 0.00074562576 0.00080233195 0.002240497 0.00073356065 0.000807158 0.0006913326 0.0015708815 0.0005875724 0.0005779203 0.0005501705 0.003777596 0.00057068124 0.0006346265 0.0005284532 0.0040442357 0.0012825246 0.00045244282 0.00054655096 0.0011522211 0.000635833 0.0005682682 0.00091815734 0.0010762106 0.002280312 0.00065875676 0.00050432293 0.007588974 0.0034940653 0.0052217934 0.010727118 0.005314695 0.002811178 0.004830883 0.0024516368 0.0058298768 0.0029076992 0.0006961587 0.0014441975 0.0016239681 0.0009507332 0.00045364935 0.0005151816 0.011472744 0.0038282697 0.0047765896 0.008602446 0.003770357 0.031731322 0.0031851975 0.0026398532 0.0032974035 0.0034578696 0.002133117 0.00229479 0.0026410597 0.0042758863 0.0011305038 0.001492458 0.008829271 0.0020896825 0.0020040201 0.009508538 0.0031236652 0.013486416 0.0031405564 0.0020426286 0.0018773361 0.006348678 0.002672429 0.003176752 0.0015262405 0.0045196023 0.0023177138 0.0035133695 0.0056187366 0.0046631773 0.002555397 0.0036026514 0.009933231 0.0063981446 0.004746427 0.0019823029 0.008548154 0.0045292545 0.004497885 0.0017723694 0.0043120817 0.0020920956 0.0051445765 0.0044001574 0.004051475 0.0020197048 0.0056042587 0.0041962564 0.010811574 0.0058528003 0.0026253748 0.0015021102 0.0036641837 0.001231851 0.00051759457 0.0005755073 0.001611903 0.0024552564 0.0010363957 0.00085300556 0.0051132073 0.0011292973 0.0010617325 0.008837717 0.0030440353 0.003146589 0.0010086459 0.0006032571 0.0025964186 0.014811168 0.0021777581 0.050441947 0.0011666992 0.010727118 0.00083611434 0.0006635828 0.002590386 0.0004331386 0.0007094304 0.00062980043 0.0010955149 0.0009133313 0.0014743604 0.00055379 0.001144982 0.00057430076 0.00048743174 0.0006949522 0.0009326355 0.00046450796 0.00045364935 0.00040900832 0.0008747228 0.0032467297 0.00045485585 0.0024878322 0.0013886979 0.0007975059 0.0005501705 0.0004415842 0.001020711 0.00044641027 0.0004970839 0.0004753666 0.00082646223 0.00043917118 0.00072390854 0.00064186554 0.0012921768 0.0006684089 0.0016879134 0.00052362715 0.0008566251 0.0006539307 0.0006949522 0.0015407186 0.0030729917 0.0024721476 0.004536493 0.0008035385 0.00097607 0.00046812752 0.0008324948 0.0006973652 0.011701982 0.0011208517 0.0022308447 0.010094904 0.0042505497 0.0010327762 0.003469935 0.0032853382 0.0018242495 0.0017216958 0.0009591788 0.0012704595 0.0016408593 0.00087110326 0.0009676244 0.0009193638 0.002803939 0.0011220583 0.0029016666 0.0013199266 0.0017687498 0.00074924534 0.0015648489 0.00085421203 0.0032853382 0.000638246 0.0010593195 0.001743413 0.0014598822 0.00070098473 0.00054896396 0.0008216362 0.002379246 0.00064186554 0.0008566251 0.0009664179 0.0023732134 0.002372007 0.00053689885 0.00067685446 0.026931811 0.0058781374 0.0010665585 0.005755073 0.006372808 0.0010170914 0.0006635828 0.00073597365 0.0070653474 0.0009531462 0.0017723694 0.00089644006 0.008913727 0.0021174324 0.003995975 0.0025300602 0.009821026 0.0029788837 0.002998188 0.003524228 0.014524018 0.0038982474 0.0041962564 0.067245066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017319481 0.0 0.0 0.00050459756 0.00023870185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021520633 0.0 0.0 0.010904746 0.0071785804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005018782 0.0 0.0 0.0036645266 0.0024553053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005372302 3.625851e-06 1.7524946e-05 6.526532e-05 0.00014503404 7.3725634e-05 6.043085e-06 7.251702e-06 1.5107712e-05 0.0 0.0 1.8129255e-06 7.856011e-06 3.0215424e-06 4.8344677e-06 0.0003492903 0.0059409565 0.00020063041 0.00020788211 0.0005366259 0.0018618744 0.00047559076 0.0023846012 0.0010375977 0.00018975286 9.789797e-05 9.004196e-05 7.312132e-05 0.0006544661 0.0003704411 0.00039038327 0.002814869 0.012982359 0.000624855 0.0009215704 0.0020280592 0.004023486 0.003516471 0.006788197 0.0031272965 0.0004423538 0.00022963723 0.00030275853 0.00032209643 0.0020292678 0.0010762734 0.001093194 0.008759451 0.020240104 0.0012696522 0.0012019696 0.0020250378 0.0071296315 0.002495794 0.0065204883 0.003173224 0.0023308177 0.00094997295 0.0009517858 0.0013016805 0.0039545945 0.00258221 0.0026057782 0.009336566 0.019708917 0.001522253 0.0012194945 0.002209956 0.009187906 0.0039413 0.0057360963 0.0033212793 0.0056641833 0.0013778233 0.001733761 0.002246819 0.0037648417 0.0017277179 0.0039425087 0.009427817 0.07217196 0.009572851 0.007099416 0.009830286 0.041015625 0.029841961 0.020774312 0.013605401 0.05019386 0.0051595857 0.0059046983 0.008915363 0.016370112 0.006897577 0.026758779 0.059551578 0.058759935 0.009878026 0.008891795 0.011381546 0.027421102 0.029845588 0.017231856 0.014247176 0.04858217 0.0057391175 0.006321671 0.008923219 0.02057489 0.010666044 0.02445999 0.0473234 0.00022782429 4.6531753e-05 8.399888e-05 5.076191e-05 8.822904e-05 9.668936e-05 4.230159e-05 6.40567e-05 0.00013113493 2.8402499e-05 3.263266e-05 2.8402499e-05 8.218595e-05 5.8617923e-05 7.13084e-05 0.00010454537 5347.0 20.340752 108762.0 0.0043029734 0.00010113826 0.0004413306 7.35551e-05 0.0026479836 0.000450525 0.00010113826 0.00013791582 0.0003126092 0.00032180359 0.00057924644 0.0004597194 0.0003953587 0.011263125 0.0008918556 0.0003677755 0.035361614 0.01980471 0.036032807 0.0162189 0.03235505 0.018195692 0.033743404 0.015354628 0.035122562 0.018526692 0.00065280154 0.00040455305 0.0007539398 0.00042294184 9.1943875e-05 0.00011033265 0.0010757433 0.006739486 0.0058476306 0.011465401 0.00563616 0.012743422 0.0037329213 0.0024273184 0.0038892261 0.0139019145 0.0019400158 0.003153675 0.005387911 0.0052683842 0.0035030618 0.007281955 0.010196576 0.0020687373 0.0047259154 0.016172929 0.010325298 0.0049465806 0.0046615545 0.0027583162 0.0021974586 0.0042294185 0.0012044648 0.0023629577 0.0009194388 0.0022066531 0.002298597 0.017533697 0.00020227653 0.026866 0.016568286 0.024273183 0.027252166 0.04471231 0.015740791 0.01148379 0.021386147 0.030231146 0.01253195 0.008468031 0.02554201 0.0122193415 0.03592247 0.03025873 0.02193781 0.004790276 0.036575273 0.025661536 0.038984206 0.011888343 0.014959269 0.007677314 0.017607253 0.0052775787 0.0008274949 0.0002298597 0.00043213624 0.00020227653 0.00023905408 0.00024824846 5.716494 0.0 2.0 14.0 4.0 828834.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.618939 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06519038 0.005714341 0.0057288446 0.0049964227 0.0054508625 0.0036234336 0.004677348 0.0047692023 0.0058932165 0.0032294246 0.0038192295 0.003420386 0.005620069 0.003782971 0.0036669439 0.005745765 0.004950495 0.0030916422 0.0035871752 0.0032028349 0.0036862816 0.005114867 0.0035146582 0.003297107 0.0032318418 0.0027314743 0.003038463 0.0031133972 0.002832998 0.0027870708 0.0032197556 0.0032415106 0.0044090347 0.0026081954 0.0028692565 0.0029417737 0.010911394 0.0024728302 0.0032511796 0.0035920097 0.0027870708 0.0025380957 0.0029828667 0.0035968442 0.0030505492 0.0028644223 0.003925588 0.0034663135 0.004237411 0.00367903 0.004684599 0.0051293704 0.0033937965 0.0037442953 0.0038989983 0.0037878056 0.003234259 0.003359955 0.0036524404 0.005250232 0.0037998918 0.0037080368 0.0039110845 0.0039231707 0.0036862816 0.0029683632 0.0028402498 0.0030022045 0.0070849126 0.004041615 0.0075055114 0.0036814474 0.0028184948 0.0026903814 0.0028910118 0.002625116 0.003246345 0.003401048 0.0035823407 0.0033575378 0.008772142 0.003925588 0.0043848623 0.0039110845 0.0033502863 0.0030819732 0.004629003 0.0043461868 0.002760481 0.0036089302 0.003098894 0.0031689936 0.0027097191 0.0032197556 0.0035315787 0.003575089 0.0028184948 0.0031061457 0.0028475015 0.0035557512 0.0031689936 0.0042494973 0.005530631 0.0036548576 0.004568572 0.003139987 0.0050205947 0.002874091 0.0034252205 0.0029466082 0.0039231707 0.0043220143 0.003161742 0.00261303 0.004732944 0.004205987 0.0063379873 0.006591797 0.003741878 0.0036741956 0.0032898553 0.0027218054 0.0031738281 0.0029393565 0.0036621094 0.0034131343 0.0044622137 0.0037297918 0.0033913793 0.0024631612 0.0028088258 0.007783493 0.0064250077 0.005126953 0.0030432974 0.0031593246 0.0030819732 0.0057191756 0.003048132 0.013210183 0.004401783 0.007024482 0.0030940594 0.0031738281 0.003007039 0.0025139232 0.0030360457 0.0027556466 0.0037297918 0.0025985264 0.0032705176 0.003139987 0.0026081954 0.00249942 0.0029272703 0.0027677328 0.003026377 0.0025598507 0.0029176013 0.0031109801 0.002760481 0.0030698872 0.0027749846 0.0030723042 0.0026927986 0.002458327 0.0029997872 0.003359955 0.0025791887 0.00249942 0.0025985264 0.0028547533 0.0025332612 0.0026081954 0.003038463 0.0037225403 0.0028136603 0.0024728302 0.0031762454 0.0027846536 0.0031714109 0.0026081954 0.0031955831 0.0037370436 0.0027314743 0.0027266399 0.0029272703 0.0029611115 0.002924853 0.002644454 0.0034687307 0.0034663135 0.0053614248 0.0033043588 0.0031955831 0.004060953 0.0035630027 0.0023737238 0.0036355199 0.004723275 0.0028450843 0.0030408802 0.002779819 0.002842667 0.00436069 0.0024679957 0.003089225 0.003214921 0.0031472386 0.003038463 0.0037442953 0.0031907489 0.0027363088 0.0023858098 0.0033502863 0.0035291614 0.0029055153 0.0024196513 0.0030819732 0.0030118735 0.0030553837 0.0025284267 0.0032584313 0.0032898553 0.003089225 0.0024945855 0.0028813428 0.0029707805 0.003130318 0.002571937 0.0031689936 0.0033091933 0.006466101 0.0028257465 0.0029272703 0.003925588 0.0035823407 0.002593692 0.003981184 0.0036596921 0.0034324722 0.002791905 0.003461479 0.0031254834 0.0033309483 0.0028813428 0.0037032024 0.0040029394 0.00413347 0.0028184948 0.003193166 0.004034363 0.0037950573 0.0034373067 0.005310663 0.017846437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042006727 0.00013206614 0.00011268029 3.7560098e-05 0.00013812422 5.694595e-05 7.1485345e-05 6.906211e-05 2.423232e-05 6.05808e-06 2.3020704e-05 1.211616e-05 8.481312e-06 3.1502015e-05 9.692928e-06 2.9078785e-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 0.0016914159 4.604141e-05 7.390857e-05 3.3925247e-05 0.00022536058 5.5734337e-05 7.7543424e-05 7.269696e-05 2.9078785e-05 1.3327776e-05 2.6655553e-05 1.3327776e-05 1.3327776e-05 2.6655553e-05 1.5751008e-05 6.663888e-05 0.0028472976 6.5427266e-05 5.452272e-05 5.694595e-05 0.00037802418 0.00017204948 0.0004240656 0.0002508045 2.6655553e-05 1.9385856e-05 1.5751008e-05 2.0597472e-05 2.1809088e-05 5.9369184e-05 2.3020704e-05 0.00052705297 0.005165119 0.00019991664 0.00036590802 0.00023868836 0.00090992363 0.00060338475 0.0025165265 0.0012746201 0.00014297069 7.5120195e-05 5.452272e-05 6.300403e-05 5.3311105e-05 9.4506046e-05 7.269696e-05 0.00057672925 0.0019397972 0.0001659914 0.000511302 0.00019749341 0.00050403224 0.00023989996 0.002281473 0.0012782549 6.1792416e-05 2.6655553e-05 2.3020704e-05 3.2713633e-05 5.3311105e-05 4.3618176e-05 4.1194944e-05 4.3618176e-05 0.008119039 0.0010759151 0.0011583049 0.008318955 0.0012200973 0.000987467 0.0016768766 0.001180114 0.0008978075 0.0006651772 0.0006579075 0.0007051605 0.00090386556 0.0006639656 0.0006397333 0.0009062888 0.0032253219 0.00039498683 0.00045072116 0.00033682925 0.00056218985 0.00039983328 0.00077543425 0.000725758 0.0013582215 0.00020233987 0.00019143533 0.0003622732 0.0004083146 0.00020839795 0.00045920248 0.0023456886 0.047617722 0.0067450665 0.010289043 0.0063270587 0.010253906 0.011773272 0.0068323025 0.0070600864 0.02517738 0.00266919 0.0019761457 0.0025419705 0.007848849 0.0035003587 0.004555676 0.011085074 0.016039373 0.003180492 0.0025528749 0.0038662667 0.0056970185 0.0062046857 0.0025880118 0.0050972686 0.00903502 0.0011158984 0.0011401307 0.0013618564 0.005190563 0.0016611256 0.0046526054 0.010021276 0.04332012 0.04272279 0.042790644 0.043759935 0.03963196 0.04170261 0.041976437 0.04553859 0.040373467 0.04174744 0.041608106 0.0427652 0.040459495 0.04247441 0.043219555 0.045809988 2044.0 8.227495 16817.0 0.027353274 0.005054409 0.006362609 0.0058274367 0.0077897366 0.004281382 0.0058869002 0.0076708095 0.005470655 0.005411191 0.004935482 0.0045787003 0.0066004638 0.0066004638 0.009633109 0.0063031456 0.011952192 0.011357555 0.0143902 0.011476482 0.011000773 0.011535945 0.012725218 0.011892728 0.010346673 0.010108818 0.009454719 0.012546828 0.013141464 0.011833264 0.010287209 0.012011655 0.0071951 0.009276328 0.006719391 0.009276328 0.009573646 0.006719391 0.008741154 0.0098115 0.0064815367 0.0076708095 0.0060058273 0.005292264 0.007968128 0.0064815367 0.007076173 0.0073140273 0.013795564 0.006422073 0.009395255 0.013914491 0.010108818 0.006124755 0.011714336 0.012546828 0.0055301185 0.0051138727 0.0051733367 0.006243682 0.0060058273 0.0058274367 0.006124755 0.007908664 0.0069572455 0.021823155 0.008027591 0.017779628 0.014152346 0.03972171 0.008384373 0.010168282 0.011357555 0.02140691 0.006778855 0.0068383184 0.019682463 0.011417018 0.023428673 0.028185764 0.01355771 0.005589582 0.026461318 0.01783909 0.03460784 0.014330736 0.010525064 0.008860082 0.0072545637 0.008087055 0.005946364 0.0057679727 0.004935482 0.0052328003 0.008265446 0.0072545637 6.373997 0.0 0.0 0.0 10.0 413696.0 458752.0 0.0 0.0 152.0 1.0 1.0 0.0 0.0 0.0 1452682600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 269312.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124623.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9623.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268955.0 0.0 1028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7571864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8885098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2064753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6856194 0.0 3.599221 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268951.0 0.0 17436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -2.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 395260.0 976.0 421888.0 0.0 0.0 0.0 0.0 6748.0 442368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 282736.0 0.0 0.0 660.0 274432.0 0.0 0.0 0.0 0.0


Input: 0.05664394 0.008292764 0.0061701564 0.005655804 0.0057479115 0.0049510277 0.00420382 0.0054219137 0.0050534843 0.005632001 0.0037557024 0.004465653 0.004961377 0.0031730458 0.0043186955 0.0046436586 0.005032786 0.0037691563 0.0049334345 0.0041593187 0.0043538827 0.0031761506 0.004105503 0.003856089 0.0050659035 0.0033510511 0.003159592 0.0029350156 0.0041520745 0.0034400537 0.00378675 0.0037908894 0.0061691217 0.0038281463 0.0034897295 0.0030281579 0.004897212 0.004158284 0.0038364257 0.00372362 0.0047181724 0.0038974856 0.0033365623 0.003098532 0.004371476 0.0037184455 0.00372362 0.0035870115 0.0055109165 0.0039419867 0.0031088812 0.0029018985 0.003674979 0.0030695545 0.0026856014 0.0028656765 0.004170703 0.003315864 0.003521812 0.0033572605 0.003999942 0.003220652 0.003508358 0.0034566124 0.0065924013 0.003943022 0.0036232334 0.003221687 0.0041655283 0.0032185821 0.0035404402 0.0030654147 0.004999669 0.003772261 0.003700852 0.0035859765 0.0041272365 0.0031306143 0.0035632085 0.0034659265 0.0051704296 0.0036294428 0.003651176 0.0033438066 0.0039347424 0.003387273 0.0033562256 0.003532161 0.0046446933 0.003640827 0.0038064132 0.0035156023 0.004111713 0.0033810635 0.0036925727 0.0037877846 0.005911428 0.0036232334 0.0033427717 0.0029526092 0.0039947676 0.0030550656 0.0032641182 0.0030322976 0.0049789706 0.0031606269 0.0031968488 0.0030488563 0.0035756275 0.002835664 0.003076799 0.003195814 0.0045060148 0.0032868865 0.003231001 0.0031502778 0.0038902413 0.003339667 0.0032941308 0.003628408 0.00462296 0.003291026 0.0034855898 0.0031668365 0.004039269 0.0031947792 0.0034700662 0.0033469114 0.008644636 0.004596052 0.0040102913 0.0035238818 0.0043642316 0.0034307395 0.0030219485 0.0033820984 0.0045422367 0.0038302161 0.0029577839 0.0031937442 0.00372362 0.002801512 0.0028511877 0.002980552 0.00522528 0.0032123725 0.0034938692 0.0030281579 0.00366463 0.0031875346 0.0033044799 0.0032620484 0.0045484463 0.0028408386 0.0030436816 0.00270423 0.003519742 0.0032372104 0.0029867613 0.0031492428 0.005011053 0.003411076 0.0032755022 0.0027932324 0.0037753657 0.0030074597 0.0030488563 0.0031823602 0.004134481 0.003004355 0.003122335 0.0030188437 0.0036460015 0.0028387688 0.002920527 0.0030281579 0.004658147 0.0031213001 0.0038467748 0.0028522226 0.0035642432 0.003148208 0.002991936 0.0031306143 0.004255566 0.003148208 0.0033313876 0.0031823602 0.0036460015 0.003195814 0.0033344924 0.0033448415 0.006719696 0.0040651415 0.003724655 0.0033417367 0.0041241315 0.0032579089 0.0033075847 0.0032165123 0.0043228352 0.0033313876 0.0031088812 0.0030830083 0.0036573855 0.002978482 0.003076799 0.0028025466 0.004244182 0.0032817118 0.003087148 0.003002285 0.0037184455 0.0030209136 0.002930876 0.0029463999 0.003984418 0.003113021 0.0027311377 0.0026421351 0.003532161 0.002943295 0.0035725227 0.0028801654 0.0049541327 0.0032372104 0.0033945173 0.0029826218 0.0038126227 0.0030726593 0.0032020235 0.0029215617 0.0044418504 0.005451926 0.0034690313 0.0031326842 0.00378468 0.0030861131 0.0032516993 0.0031906394 0.0046157157 0.0033251783 0.0034276347 0.0030467864 0.0037318994 0.0030923225 0.0033168988 0.0032382454 0.004351813 0.0030322976 0.0031906394 0.002868781 0.004012361 0.0030974972 0.004227623 0.0045122243 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4027.0 5.7027564 22965.0 0.017287176 0.010407141 0.009405618 0.008752449 0.013455258 0.012453734 0.011800566 0.011408665 0.012540823 0.009797518 0.008534727 0.008578272 0.013890703 0.010624864 0.011713477 0.010058785 0.016721098 0.0119312 0.0087089045 0.007533203 0.009797518 0.008534727 0.00779447 0.008317004 0.010232964 0.008404093 0.009579795 0.008883083 0.011495754 0.008926627 0.009623339 0.009187895 0.01798389 0.010842587 0.010407141 0.009013716 0.010886131 0.008839538 0.010668408 0.00827346 0.014195515 0.011626388 0.009710429 0.008926627 0.011408665 0.009318528 0.011669933 0.0095362505 0.014805138 0.009666884 0.010015241 0.009057261 0.012061833 0.0094927065 0.0095362505 0.009797518 0.0136729805 0.009187895 0.01049423 0.009579795 0.0111473985 0.009797518 0.010450685 0.010668408 0.017940344 0.011016765 0.009666884 0.00818637 0.013063357 0.008229915 0.009405618 0.008360549 0.015414761 0.009274984 0.008883083 0.0086653605 0.011321576 0.008055737 0.009884607 0.0078380145 0.013150446 0.007968648 0.0087089045 0.008883083 0.011495754 0.009405618 0.008360549 0.008012192 0.01106031 0.008926627 0.0120182885 0.008447638 0.011365121 0.009057261 0.010015241 0.008795994 6.554702 0.0 0.0 0.0 14.0 966264.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.19869228 0.011123668 0.0064094285 0.0065385858 0.015531159 0.004052309 0.0062156925 0.0018243461 0.011462706 0.0020019372 0.0020019372 0.002018082 0.008362932 0.0039554406 0.0015821763 0.0051985793 0.008976429 0.0009041007 0.0006942202 0.0020342267 0.005715208 0.0052308687 0.0012269939 0.0007103649 0.0024539877 0.0015660316 0.0005812076 0.0008072328 0.001549887 0.0012108493 0.0008395221 0.000984824 0.0057474975 0.00064578623 0.0014045851 0.00045205036 0.011575718 0.0026477235 0.00038747175 0.0007749435 0.0018727802 0.0005973523 0.0009041007 0.0030674846 0.0013238618 0.0010494026 0.002292541 0.0013400065 0.0063932836 0.0024539877 0.002066516 0.0040684533 0.0014853084 0.0016144656 0.0010171133 0.00075879885 0.0016306103 0.0008718114 0.001549887 0.002680013 0.0010494026 0.0013722958 0.0006296416 0.001501453 0.028559897 0.0037294156 0.0017274782 0.0021633839 0.0070713595 0.012060058 0.0041491766 0.0031643526 0.0025670002 0.0016144656 0.0005489183 0.00082337746 0.0050532776 0.0062641264 0.0014045851 0.0012108493 0.010994511 0.0032935098 0.0025508557 0.0043913466 0.0022279625 0.005182435 0.005828221 0.0035841137 0.0013722958 0.001549887 0.0009202454 0.0023248305 0.0012592832 0.0053761704 0.0043752016 0.00540846 0.0014045851 0.0051340004 0.0015660316 0.0037294156 0.0069906362 0.009993542 0.0020342267 0.0024701324 0.0082014855 0.0049725543 0.0077655795 0.00079108815 0.0054730386 0.002680013 0.004891831 0.0056990637 0.0032289312 0.0004036164 0.009896674 0.0070067807 0.013061027 0.008895705 0.0023248305 0.0023248305 0.0019050695 0.0022118178 0.000565063 0.0005004843 0.0015821763 0.002534711 0.0018243461 0.0009202454 0.0018566354 0.000984824 0.0014368744 0.0152567 0.0023086858 0.0060381014 0.0013722958 0.0009041007 0.0009363901 0.010381014 0.001033258 0.031336777 0.0011462705 0.010477882 0.000516629 0.00033903777 0.0010171133 0.00038747175 0.0004843397 0.0010816919 0.00088795606 0.00027445916 0.0002583145 0.0005004843 0.0007426542 0.00024216984 0.0002906038 0.0004843397 0.0006619309 0.0004843397 0.00045205036 0.00019373588 0.0014207298 0.0018566354 0.0005973523 0.0016467549 0.0012915725 0.000565063 0.00079108815 0.0008072328 0.0013722958 0.0013077172 0.0015337423 0.00064578623 0.0008395221 0.0002583145 0.00046819504 0.0004036164 0.0028253149 0.0035841137 0.0014045851 0.0011947046 0.001501453 0.00061349693 0.0015983209 0.0008072328 0.0029383274 0.0007103649 0.00082337746 0.0006619309 0.0010009686 0.00064578623 0.0008072328 0.00072650955 0.0059250887 0.0023409752 0.0053761704 0.0032935098 0.0054568937 0.00045205036 0.0059896675 0.011398127 0.0019857928 0.0023248305 0.0009202454 0.0009686794 0.02906038 0.000565063 0.0019050695 0.0010009686 0.001549887 0.0008718114 0.0008395221 0.0011785598 0.0015821763 0.0007103649 0.003002906 0.0012108493 0.003002906 0.0005327737 0.0009686794 0.0012431386 0.0016306103 0.00082337746 0.0009686794 0.00075879885 0.0031804973 0.0006296416 0.00033903777 0.00019373588 0.002583145 0.0024055538 0.00046819504 0.00019373588 0.010058121 0.0033903779 0.000565063 0.0024701324 0.0064578624 0.0002583145 0.0005489183 0.00061349693 0.0029383274 0.0015660316 0.001033258 0.0010494026 0.0018566354 0.0005004843 0.004407491 0.0015983209 0.0031643526 0.0014530191 0.00079108815 0.0005489183 0.003519535 0.0005327737 0.0016951889 0.041314173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03454383 0.00083587127 0.00096828653 0.00019862287 0.0034841765 0.00019034692 0.00027310647 0.00017379502 0.00020689884 0.000885527 0.0018869174 0.00030621028 0.0014069121 0.00044690148 0.0002813824 0.0047586733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018124338 0.00030621028 0.0009931144 0.00075311173 0.0016220869 0.00092690677 0.0041628047 0.00247451 0.00017379502 0.00032276218 0.0003889698 0.00047172935 0.00031448624 0.0015641552 0.00036414195 0.00093518273 0.015550517 0.00022345074 0.0022676112 0.0022262314 0.009227688 0.005826271 0.01879469 0.010386322 0.00022345074 0.00017379502 0.0005627648 0.00044690148 0.0005710408 0.00019862287 0.00024000264 0.00087725103 0.028212724 0.0010510461 0.004270392 0.003550384 0.006943525 0.004791777 0.015798794 0.009724245 0.0018951934 0.000529661 0.000885527 0.00087725103 0.0017296743 0.0019117453 0.001059322 0.0015144994 0.02721961 0.0023834745 0.004080045 0.0011751854 0.006637315 0.004584878 0.0050400556 0.0038565942 0.006761454 0.00046345338 0.0014482918 0.001249669 0.008606992 0.0027724444 0.0037903867 0.0046759136 0.11631025 0.020160222 0.0126373805 0.009914592 0.03818525 0.031912077 0.014623609 0.019688493 0.059562035 0.0020276087 0.004957296 0.011362884 0.0514516 0.008333885 0.019125728 0.037374206 0.04256323 0.0091201 0.008813891 0.010949086 0.015856726 0.01184289 0.01310911 0.011925649 0.017685713 0.0028717557 0.0046428097 0.006355932 0.015393273 0.0050566075 0.009227688 0.017975371 0.0029545154 0.0010841499 0.0013241526 0.0016800185 0.0009765625 0.00087725103 0.0020441604 0.0012248411 0.00089380296 0.0005875927 0.0005710408 0.000537937 0.00055448886 0.0005627648 0.00048000528 0.0005958686 416.0 18.396635 7653.0 0.03266693 0.00026133543 0.00091467396 0.00013066771 0.004050699 0.0075787273 0.00065333856 0.0028746896 0.002221351 0.0020906834 0.0 0.00052267086 0.004050699 0.0039200312 0.013458774 0.0074480595 0.0206455 0.008885404 0.01202143 0.0061413823 0.0024826864 0.0028746896 0.0032666929 0.0020906834 0.00091467396 0.0015680125 0.007970731 0.00026133543 0.0020906834 0.0016986802 0.0015680125 0.009277408 0.02574154 0.017248139 0.0035280283 0.012282765 0.009800078 0.008101398 0.0052267085 0.008885404 0.004181367 0.0075787273 0.00039200313 0.004050699 0.007970731 0.0065333857 0.0037893637 0.004050699 0.014765452 0.00091467396 0.006010715 0.018946819 0.008101398 0.004965373 0.008885404 0.0047040377 0.0043120347 0.0037893637 0.00457337 0.00039200313 0.003136025 0.0 0.00039200313 0.018424148 0.00039200313 0.03946165 0.009800078 0.02744022 0.024304194 0.07199791 0.006010715 0.017248139 0.009669411 0.038808312 0.0014373448 0.0033973604 0.036848295 0.019730825 0.037109632 0.043512348 0.013981445 0.00065333856 0.04808572 0.047301713 0.056840453 0.01202143 0.0074480595 0.007970731 0.006010715 0.011368091 0.00091467396 0.0 0.0015680125 0.0 0.00013066771 0.00026133543 5.629124 0.0 14.0 1.0 3.0 61940.0 73728.0 1.0 0.0 160.0 0.0 1.0 1.0 0.0 0.0 1505453600.0 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 -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 39936.0 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 12800.0 0.0 0.0 0.0 0.0 0.0 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 -39936.0 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 5.0990386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.830361 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.240854 0.0 4.867686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12730.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39756.0 0.0 480.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 -2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 53068.0 480.0 69632.0 0.0 0.0 6640.0 55296.0 0.0 0.0 56.0 45824.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 48800.0 0.0 0.0 712.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.0066167912 0.0038984986 0.0038365193 0.0039074956 0.0038121275 0.0038695084 0.0038015312 0.003906496 0.0038445166 0.0037751398 0.0038581123 0.0038667093 0.0038289218 0.0038089287 0.0038273225 0.003943484 0.0038141268 0.0038115277 0.003778139 0.0038865027 0.0037665428 0.0038289218 0.0037945334 0.0038327207 0.0038431173 0.0037969325 0.0038835036 0.0038567127 0.0038601116 0.003861711 0.0038403182 0.004049648 0.003810928 0.0037827373 0.0038139268 0.0038751066 0.0038479157 0.0038035305 0.003837519 0.0038982988 0.0037729405 0.003828322 0.003832121 0.0038731073 0.003792734 0.0038457164 0.0037829373 0.0039556795 0.0038037302 0.0038611111 0.0037861362 0.003936886 0.0038181255 0.0038641102 0.0038843034 0.0038541134 0.0038303214 0.0038589118 0.003945483 0.0039446834 0.003831721 0.0039174925 0.0039348863 0.0041098283 0.0038651098 0.0037699416 0.003798532 0.0037697416 0.003871108 0.0038605114 0.0038335205 0.003918892 0.0038057296 0.0038543134 0.0038329207 0.0038101282 0.00386491 0.0038465161 0.0038213246 0.0038785054 0.0038079289 0.0037971325 0.0037941334 0.0039410843 0.0038227239 0.003828322 0.0038803048 0.0039522806 0.0038275223 0.003885503 0.0038269225 0.0038765061 0.003867309 0.0039022975 0.003888702 0.0040630437 0.0038111277 0.0038727073 0.0038871025 0.003942884 0.003816726 0.0039436836 0.0038841034 0.0039022975 0.0038353198 0.003936886 0.003912494 0.0039150934 0.0038980988 0.0039262893 0.0038954997 0.003957679 0.0038453164 0.00392389 0.0039022975 0.0039500813 0.0039740736 0.004059445 0.003891501 0.0039308877 0.003858712 0.003921491 0.0039028972 0.0039850697 0.003908695 0.003966476 0.0040284554 0.004186203 0.0038085287 0.0038241234 0.0037811378 0.0038697084 0.003837519 0.0038581123 0.0038323207 0.003846716 0.0038449166 0.0038879022 0.0037859362 0.0039608777 0.0038763061 0.003926889 0.0038903013 0.0040226574 0.0038333205 0.0038269225 0.0038151266 0.0039050966 0.0038605114 0.0038659095 0.0038307214 0.0039170925 0.0038845034 0.0038667093 0.0038609111 0.0038567127 0.0038931004 0.003912494 0.003876106 0.0040560463 0.003783537 0.0037995316 0.0038037302 0.0038531139 0.0038411177 0.0037797382 0.0038479157 0.0039132936 0.0038475157 0.0038962995 0.0038291218 0.0039766724 0.003901098 0.0039228904 0.0039098947 0.003942084 0.0038589118 0.0038945 0.0038743068 0.0039070956 0.0038473157 0.003900698 0.0038765061 0.003965876 0.0038763061 0.003897299 0.0038849032 0.0039828704 0.0038809045 0.0039354865 0.0039432836 0.0040634437 0.003909295 0.0038765061 0.0038681088 0.0038115277 0.003900898 0.0038023307 0.0039354865 0.0039894683 0.003886103 0.0038693084 0.003885503 0.0038789052 0.0038827038 0.0039046966 0.00392449 0.003962477 0.0038303214 0.0037769394 0.0038994984 0.0039570793 0.0039098947 0.003912094 0.00392429 0.003962477 0.0038677088 0.003870908 0.003974473 0.0039766724 0.003957479 0.00392389 0.003913094 0.0040198583 0.0038153264 0.0038703082 0.003870908 0.003989668 0.0038875022 0.003912694 0.0038751066 0.003996466 0.0039594783 0.0039598783 0.0039056963 0.0040730406 0.0039226906 0.003995866 0.0039102947 0.0040218574 0.003939085 0.00401346 0.0039256895 0.003930288 0.003927489 0.0039616777 0.0040022642 0.004027256 0.004046849 0.0040248567 0.00404525 0.0040860362 0.0042227902 0.004080038 0.0042019975 0.004901764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00044348298 1.1099573e-05 1.5799393e-05 9.699627e-06 1.0999577e-05 1.6499367e-05 2.3599094e-05 1.4999424e-05 1.7299335e-05 3.9998463e-07 2.1999156e-06 2.7998924e-06 5.699781e-06 1.6999347e-06 1.899927e-06 3.619861e-05 0.0005114804 8.099689e-06 1.4999424e-05 9.499635e-06 2.6098998e-05 1.589939e-05 6.9897316e-05 6.349756e-05 3.1098807e-05 6.799739e-06 5.399793e-06 4.6998193e-06 9.199647e-06 4.299835e-06 6.399754e-06 3.179878e-05 9.299643e-05 1.6999347e-06 8.299681e-06 4.5998236e-06 5.1198032e-05 2.2099151e-05 0.00014779433 7.1397255e-05 7.9996926e-07 6.999731e-07 8.999654e-07 1.1999539e-06 1.5999385e-06 1.1999539e-06 1.3999462e-06 1.6999347e-06 0.00014469444 4.399831e-06 3.199877e-06 4.399831e-06 3.2298758e-05 1.6799355e-05 9.8896206e-05 7.5497104e-05 8.399677e-06 2.8998886e-06 2.5999002e-06 3.2998732e-06 3.5998617e-06 2.8998886e-06 2.499904e-06 3.199877e-06 0.00037798547 1.5399408e-05 1.2599517e-05 1.7099343e-05 2.8598903e-05 2.1999154e-05 1.8599285e-05 4.3298336e-05 5.1998002e-05 1.849929e-05 2.6698975e-05 2.4699051e-05 3.4698667e-05 3.4298682e-05 3.2398755e-05 6.0297683e-05 0.00046208224 1.4699435e-05 2.2499136e-05 2.3499098e-05 1.7899312e-05 2.1499174e-05 6.1397644e-05 7.359718e-05 6.479751e-05 6.0797665e-05 6.23976e-05 6.0797665e-05 6.369755e-05 5.4297914e-05 5.3297954e-05 0.00011149572 0.00062887586 8.289682e-05 4.0698436e-05 7.4597134e-05 0.00014289451 0.00011999539 7.999693e-05 0.00013989463 0.0002161917 7.339718e-05 8.229684e-05 7.979693e-05 0.00015479406 9.749625e-05 0.00018649283 0.0002571901 0.00074067153 0.00015769394 9.529634e-05 0.00012299528 0.00026768973 0.00021569172 0.00010579594 0.00024349065 0.00029488868 7.009731e-05 6.689743e-05 6.689743e-05 0.00016079383 9.969617e-05 0.00020369218 0.000364386 0.06092396 0.06121545 0.061145153 0.061921023 0.060826264 0.06151654 0.06173403 0.062513396 0.06117775 0.061833326 0.061605234 0.062351406 0.061856125 0.062384505 0.0624837 0.064477324 23219.0 5.7104096 132590.0 0.010385399 0.00991025 0.010785127 0.009751867 0.0106719965 0.010385399 0.010423109 0.01072479 0.01035523 0.01061166 0.009917792 0.009631194 0.009442642 0.0102421 0.010913342 0.010340147 0.009978128 0.010015838 0.009887624 0.010159137 0.009638736 0.009819745 0.010234558 0.010475903 0.010249642 0.010219473 0.01072479 0.010641828 0.010083716 0.010423109 0.010332604 0.010513613 0.009812203 0.010113885 0.010038464 0.01027981 0.010898258 0.0101666795 0.010068633 0.010430651 0.010181763 0.010551323 0.010822837 0.009955502 0.010656912 0.010121427 0.009925334 0.009782035 0.010325062 0.009578399 0.009812203 0.010664455 0.010513613 0.009782035 0.009970586 0.010430651 0.009872539 0.010400482 0.00991025 0.010068633 0.009676446 0.010521156 0.010227015 0.010362772 0.010083716 0.012074817 0.010913342 0.011154687 0.011003846 0.013575684 0.010656912 0.010558866 0.009932876 0.011660005 0.010098801 0.0105362395 0.011660005 0.010966136 0.011320612 0.011712799 0.0105814915 0.0100309225 0.011350781 0.011230107 0.011856098 0.011018931 0.010000754 0.010596576 0.009789577 0.011094351 0.010068633 0.01031752 0.010159137 0.00969153 0.010294894 0.010196848 6.5824995 0.0 1.0 0.0 75.0 5001669.0 258048.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 24064.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 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 -24064.0 0.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 5.625557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 19448.0 0.0 0.0 0.0 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 29872.0 19448.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 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