Input: 0.17158051 0.014735834 0.0075963833 0.008809486 0.01313467 0.0047569424 0.0036763588 0.0028821894 0.009313918 0.003148179 0.0031633785 0.002240489 0.007110952 0.003694883 0.0020514461 0.007982069 0.0069736824 0.0018918524 0.0015693398 0.0014306451 0.0054442408 0.0023221858 0.0017203839 0.0011926792 0.0044220802 0.0017232338 0.0012311527 0.001408321 0.003932849 0.0014705436 0.0016724108 0.0011955291 0.0058945236 0.0012311527 0.0009551883 0.001091983 0.027398372 0.002085645 0.0012653514 0.0008563921 0.003259325 0.00086589175 0.0010606343 0.0032849738 0.0025050538 0.0012216531 0.001015986 0.00080271915 0.002657523 0.001095308 0.0010454349 0.005397693 0.0024637303 0.0013479983 0.0009480636 0.000860667 0.0028479907 0.0017479329 0.0012268779 0.006098766 0.0020908697 0.001795906 0.00095993816 0.0009988867 0.0038383277 0.0020713955 0.0018063557 0.0015546153 0.009953243 0.0041085924 0.0044947523 0.003884401 0.0042833854 0.0018581287 0.0012572767 0.009226521 0.007742203 0.0029781356 0.0024599305 0.0013679474 0.008784313 0.0057154554 0.0050656805 0.0038112537 0.006510575 0.004014071 0.005938697 0.0058270763 0.001981149 0.0023801336 0.0016914101 0.004402606 0.002633299 0.0022770625 0.0044363295 0.004819165 0.007868073 0.0017275086 0.0008255183 0.0012382774 0.0034174938 0.0022267145 0.0057425294 0.0010967329 0.0066530695 0.0019379256 0.0059790704 0.0017336834 0.0033951697 0.0011651303 0.0017626573 0.0020899198 0.0025463772 0.00086921663 0.0020495462 0.0020975193 0.009876296 0.0056408835 0.0012857757 0.0019621497 0.0024699052 0.0012430273 0.0009713377 0.00085211726 0.003484466 0.0027976425 0.0020424216 0.0014643688 0.003075982 0.0044415547 0.0010539845 0.013828619 0.004974009 0.008342105 0.002971961 0.0009817873 0.0029268377 0.017561026 0.0032987483 0.04306422 0.0019065768 0.011371538 0.0020257973 0.0009851122 0.022731677 0.0009851122 0.0009243145 0.0012368525 0.0014752933 0.0013394486 0.0013494232 0.0008126938 0.0012292528 0.0012188032 0.00071722246 0.00090959005 0.001224978 0.0009314392 0.0012444522 0.00071769743 0.0015237415 0.002526428 0.00089201576 0.0011575306 0.0012207031 0.0010444849 0.0006488251 0.00065404986 0.0011770048 0.0007571209 0.00092621444 0.001066809 0.0012610765 0.0014933427 0.0013422985 0.0012848256 0.0016838104 0.0010036365 0.001278176 0.00077944505 0.0011423312 0.0007780201 0.0007628207 0.00074667134 0.003100681 0.0015717146 0.0011076574 0.0008668417 0.0015693398 0.00089961546 0.0019635747 0.0015204166 0.008813286 0.00469092 0.0037153072 0.004666696 0.007756927 0.0011432811 0.0031671785 0.005441866 0.0030783569 0.0029463118 0.001667661 0.0013494232 0.0061562387 0.001145181 0.002239539 0.0013137995 0.0021445428 0.0024756049 0.0016040134 0.0010829584 0.0012169033 0.00086874166 0.00096658786 0.0009067402 0.002577251 0.0018652533 0.00080699404 0.0015265914 0.0013973963 0.00096516294 0.0007518961 0.0007613958 0.002447106 0.0017816566 0.0010316604 0.0008839411 0.0014724435 0.0007689955 0.00082266843 0.00078799477 0.01509017 0.0035457388 0.0009580382 0.003920974 0.002393908 0.0011656053 0.0009713377 0.00093571405 0.005154977 0.001665286 0.001587389 0.0023107862 0.0015166168 0.001224028 0.0022214898 0.0025126536 0.0036055865 0.0019901735 0.0015755146 0.0017560076 0.0022290894 0.002474655 0.0032403255 0.025594868 0.012161886 0.0 2.3760644e-07 0.0 0.0 2.3760644e-07 0.0 2.3760644e-07 9.504258e-07 0.0 9.504258e-07 2.3760644e-07 0.0 2.3760644e-07 4.752129e-07 0.0 0.0023064457 5.417427e-05 1.5682026e-05 9.741864e-06 3.088884e-06 9.029045e-06 1.3781174e-05 8.316226e-06 5.7025545e-06 7.128193e-07 2.3760644e-07 2.3760644e-07 1.1880322e-06 1.4256386e-06 7.128193e-07 2.6136709e-06 0.0013180029 5.464948e-05 4.276916e-06 3.801703e-06 3.5640967e-06 2.5661497e-05 2.6136709e-06 4.9897353e-06 4.9897353e-06 3.088884e-06 2.8512773e-06 3.088884e-06 9.504258e-07 3.5640967e-06 1.9008515e-06 2.1859792e-05 0.0010563983 0.0003205311 1.4256386e-06 7.603406e-06 1.3068355e-05 1.6632451e-06 3.801703e-06 6.6529806e-06 1.805809e-05 4.752129e-06 9.504258e-07 1.0454683e-05 2.8512773e-06 7.128193e-07 1.6632451e-06 9.266651e-06 0.0048963563 0.00058712554 8.672635e-05 5.274863e-05 4.5145225e-05 5.5124696e-05 6.700502e-05 4.1818734e-05 6.1777675e-05 1.8533303e-05 7.603406e-06 1.1167503e-05 4.1343523e-05 1.8533303e-05 4.205634e-05 0.00029296876 0.0023073961 5.1322993e-05 4.9897353e-05 3.754182e-05 3.421533e-05 7.484603e-05 0.00013614849 6.296571e-05 2.0196549e-05 1.6632452e-05 1.4256387e-05 1.1642716e-05 3.017602e-05 9.741864e-06 1.877091e-05 4.3957192e-05 0.0035118232 0.00024259619 0.00012331775 8.4350286e-05 8.2687046e-05 0.00016489887 0.00018200654 0.00011666476 2.803756e-05 3.754182e-05 1.9721336e-05 1.9246123e-05 2.1859792e-05 2.1146974e-05 2.2335005e-05 0.0001879467 0.013697774 0.000595917 0.00058878877 0.0001732151 0.00026564402 0.0012374544 0.0007102057 0.0003944267 0.0001698886 0.00048329151 0.00019317404 0.00013305961 0.00015895872 0.00012593142 0.00011262546 0.0018842191 0.0115367435 0.00063535967 0.00085680885 0.0003400148 0.0009216754 0.0010435676 0.0018378858 0.0009071814 0.00031387812 0.0005070522 0.00022691416 9.5993004e-05 0.00020671761 0.0001178528 0.00016157239 0.001701975 0.005712297 0.00025138762 0.0009033797 0.00036258745 0.0010076889 0.0004794898 0.0029337269 0.0013752661 0.00024069533 0.00020909368 7.959816e-05 0.00010811094 0.0002547141 9.7893855e-05 9.2428905e-05 0.0009768001 0.017676493 0.00061611354 0.0014660318 0.00077554747 0.010041011 0.0012037143 0.008116161 0.0021211128 0.00036995325 0.005583514 0.0002473483 0.00017582877 0.0005393666 0.00022144921 0.00028774142 0.0031133574 0.007965518 0.0005688298 0.00060565886 0.0005355649 0.0014337173 0.0008361371 0.0012289005 0.0007767355 0.0016095461 0.0008496807 0.00038919935 0.00031958066 0.0008810447 0.0006125494 0.00045097704 0.0023475518 0.015961213 0.0018041458 0.002602266 0.0015430163 0.003486637 0.0039772945 0.0019124943 0.0016266537 0.0082154805 0.0017331014 0.00094210956 0.0019238994 0.0069435732 0.0014225498 0.0035557805 0.006583362 0.089955665 0.013375104 0.02087634 0.011787181 0.021897335 0.028538672 0.013460405 0.013321405 0.05621341 0.011954931 0.005227342 0.006253089 0.023414215 0.0071308073 0.015208 0.018563716 0.069544084 0.014710452 0.020872064 0.012050211 0.017758468 0.026783237 0.012374781 0.014970632 0.04962197 0.011848008 0.0058562863 0.005719187 0.0210113 0.006238595 0.01322565 0.01906958 0.005993385 0.005736057 0.0057636197 0.005830862 0.005911411 0.005887888 0.0058888383 0.005931845 0.005973901 0.005816606 0.005776688 0.0059971865 0.0058101905 0.0058969166 0.005813279 0.0058886004 8329.0 8.362948 69655.0 0.047261503 0.0042495155 0.0039193165 0.002225253 0.050319433 0.008700022 0.0023257483 0.0021821836 0.0079534855 0.0018806977 0.0015504989 0.0026990166 0.0061015002 0.0036321871 0.008154476 0.0016653506 0.0062737777 0.004263872 0.003014859 0.00536932 0.0066901157 0.0024406002 0.0020242624 0.0016797071 0.006087144 0.0049529825 0.003991099 0.006087144 0.004723279 0.0063455603 0.0020099059 0.0017802024 0.0043930802 0.006546551 0.004450506 0.008240614 0.019869355 0.004938626 0.007465365 0.009302993 0.005512885 0.005398033 0.002067332 0.0031440672 0.020457972 0.0055272416 0.004450506 0.0042495155 0.03088077 0.024836695 0.028569378 0.022855502 0.017888162 0.012805972 0.017270835 0.013495083 0.002655947 0.004120307 0.0016366377 0.009934678 0.0043212976 0.0085421 0.010020817 0.010767354 0.0028138685 0.028009476 0.0048955567 0.013509439 0.022065897 0.041160002 0.0105376495 0.0104945805 0.025195606 0.0271768 0.0097480435 0.0052688248 0.024233723 0.013839638 0.025784222 0.028325317 0.011815376 0.0023113918 0.026703037 0.020601535 0.03640801 0.017629746 0.004350011 0.003747039 0.0041920897 0.005929223 0.0015648553 0.001249013 0.0041059507 0.0030866412 0.002225253 0.0018519848 5.9806614 0.0 2.0 0.0 20.0 2105344.0 4886528.0 0.0 0.0 219.0 0.0 1.0 0.0 0.0 0.0 1161976400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1548288.0 4096.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -294912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1548288.0 4096.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.6362279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2803044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.2933517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5992637 6.5724564 4.0736294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 229244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3074372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1547347.0 1024.0 4368.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 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 -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 -1.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 1776344.0 4368.0 4878336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1008.0 1552384.0 0.0 0.0 0.0 0.0


Input: 0.22885957 0.009029781 0.014360212 0.028497621 0.021180892 0.027265906 0.024333749 0.03572607 0.034273654 0.014183652 0.024222348 0.009649844 0.019448923 0.0019778921 0.00067050755 0.001343117 0.004975208 0.0018391665 0.0007566856 0.0005212723 0.0013935628 0.0025643236 0.0020031151 0.0006494885 0.0009815894 0.0004077695 0.00038675044 0.00039936186 0.000945857 0.0017887207 0.00039725995 0.00030057234 0.0037771224 0.00033210093 0.00047713233 0.0006978323 0.0016499951 0.0011245189 0.0018433703 0.0002795533 0.00076509325 0.0004077695 0.00042458472 0.0005107628 0.0005528009 0.00058012566 0.0013578304 0.0019316502 0.002158656 0.00063267327 0.0006557942 0.001408276 0.00075458374 0.0005675142 0.0006431828 0.00035311998 0.00085967896 0.0007882142 0.0018412684 0.0010866846 0.00067471137 0.0006999342 0.0002816552 0.00091222656 0.007812779 0.0019884016 0.0006852209 0.0009815894 0.0029258511 0.004163873 0.0026147692 0.0008470675 0.0006936285 0.0006957304 0.00030477616 0.00038464853 0.00060745043 0.0021313312 0.0007314628 0.00070834183 0.003218016 0.0012821618 0.0011350284 0.0019757904 0.00089751324 0.0015385941 0.0022154073 0.001805536 0.0013998684 0.0013389132 0.0008827999 0.0011182132 0.0014587217 0.0013746456 0.0022952796 0.0028060426 0.0018076379 0.0043004965 0.0023394197 0.0026757244 0.002837571 0.0052820863 0.0021670635 0.0017109503 0.0029826025 0.0037876319 0.0025622216 0.0012485313 0.002732476 0.0020010131 0.0028880169 0.0030225387 0.0024697378 0.001166557 0.004096612 0.0034849576 0.0058474983 0.004144956 0.0021397388 0.0016247722 0.0019463636 0.0013578304 0.0010047103 0.001454518 0.0016815236 0.0015217789 0.0018076379 0.0010866846 0.002402477 0.0011980856 0.001563817 0.0028459788 0.0012947732 0.0029342587 0.00095426466 0.00090592087 0.0012254104 0.0032747672 0.0009836913 0.0077644354 0.0010425446 0.004079797 0.0008050294 0.0009269399 0.0014440084 0.0009143285 0.0009584685 0.0009710799 0.0010698694 0.0011623532 0.0019001217 0.00095426466 0.0011392323 0.00091853226 0.00084916945 0.00089751324 0.0012254104 0.0008849018 0.0008870037 0.0009143285 0.0014818427 0.001322098 0.001231716 0.0010488504 0.001210697 0.001145538 0.0017214598 0.0016436893 0.0013094866 0.00095006084 0.0011833722 0.0011245189 0.0013683399 0.001168659 0.0012233084 0.0011833722 0.0014902503 0.0011938817 0.0014145818 0.0009668761 0.0010404427 0.0009668761 0.0010803789 0.000968978 0.0012632447 0.00090171705 0.00093324564 0.0009143285 0.0009878952 0.0009731818 0.0009521628 0.0009752837 0.003899033 0.0015280846 0.0016899313 0.0015028617 0.0013809513 0.0008344561 0.0012464294 0.0020031151 0.0011749646 0.0013725436 0.000945857 0.0008638828 0.0019484655 0.00089751324 0.0009857932 0.0009353475 0.0015322884 0.001036239 0.000924838 0.0009290418 0.0010236275 0.0007104437 0.00091222656 0.0007629914 0.0010257295 0.0007861123 0.0007209533 0.00095006084 0.00090381893 0.000594839 0.0007377685 0.0006978323 0.0017866188 0.00066630373 0.00083865994 0.0006536923 0.0009626723 0.00063897896 0.0006852209 0.0006431828 0.0029657872 0.00095426466 0.0006410809 0.0064864773 0.001584836 0.0006789152 0.00073356467 0.0011287227 0.0015301865 0.0009773856 0.0007524818 0.0009626723 0.0010887865 0.0005675142 0.0009206342 0.0010047103 0.0015322884 0.0006789152 0.0005044571 0.0006578961 0.0017151542 0.0004708266 0.0013809513 0.15454884 0.062531635 5.062095e-05 3.1638094e-06 0.0 8.436825e-06 4.2184124e-06 2.003746e-05 1.2655238e-05 0.0 0.0 0.0 0.0 3.1638094e-06 0.0 0.0 1.0546031e-06 0.008165792 0.00022990348 2.1092062e-06 1.0546031e-06 0.0 0.0 1.0546031e-06 0.0 3.1638094e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0002362311 0.005768679 0.00036489268 5.378476e-05 4.2184125e-05 0.00011073333 2.003746e-05 7.382222e-06 3.1638094e-06 4.007492e-05 5.2730156e-06 1.0546031e-05 5.2730156e-06 9.4914285e-06 4.2184124e-06 2.1092063e-05 1.2655238e-05 0.016347403 0.0013730932 0.00059374154 0.00011495174 0.0001655727 6.327619e-05 8.858666e-05 7.382222e-05 8.542286e-05 7.2767616e-05 5.2730156e-05 5.9057777e-05 5.6948567e-05 5.4839362e-05 4.9566348e-05 0.00018666475 0.020218851 0.00072978536 0.0008173174 0.00058741396 0.00059268693 0.0010915142 0.0005810863 0.0008436825 0.00010546031 2.9528888e-05 1.5819047e-05 1.7928252e-05 2.4255873e-05 1.5819047e-05 2.6365078e-05 0.00022041205 0.013312255 0.0005167555 0.00031427175 0.00013182539 0.0001655727 0.00024677714 0.00047351682 0.00052308314 0.00038703936 7.2767616e-05 7.382222e-05 5.5893965e-05 8.2259045e-05 7.487682e-05 0.0023338366 0.0006738914 0.037894 0.0006781098 0.0003754387 0.00034169143 0.00053573836 0.0036710736 0.009106498 0.0007941162 0.00030899871 4.9566348e-05 6.011238e-05 0.00012444316 0.0001719003 0.00010651492 0.00016451809 0.012571924 0.10048997 0.0012539232 0.0009786717 0.0005905778 0.0012760698 0.0031427173 0.008345075 0.010566069 0.0035360842 0.00023939491 0.0020343293 0.002806299 0.0028822303 0.0029296875 0.0039484343 0.049364917 0.15006475 0.0022990347 0.002086005 0.0014975364 0.0035856506 0.00084895553 0.0035751045 0.005181265 0.007692275 0.011227305 0.012082588 0.0099090515 0.008977836 0.006039712 0.006263288 0.07752493 0.017372478 0.00063276186 0.0010419479 0.0007487682 0.0014068406 0.0009955453 0.002745132 0.0017422044 0.0011811556 0.0008658292 0.00065490854 0.00039653078 0.00073083997 0.0003691111 0.0014848812 0.0043481286 0.020655457 0.0012096298 0.0025447574 0.0018497739 0.0039389427 0.0023897307 0.007073223 0.0052044666 0.00071607553 0.0009027403 0.0008088806 0.0006021784 0.0010957327 0.00048195364 0.0006496355 0.0038725026 0.0052867257 0.0007234577 0.0008763752 0.0008394641 0.0009059041 0.00044293332 0.0016430716 0.0012475955 0.00030899871 0.0005768679 0.0005178101 0.00017506412 0.00025310475 0.00044293332 0.00032903618 0.00054944825 0.007330546 0.0008763752 0.0018835212 0.0010640946 0.0021208068 0.001206466 0.0037649332 0.0021292437 0.0007688057 0.00047351682 0.0019425789 0.00042395046 0.0013171993 0.00076353265 0.0006274889 0.0013846939 0.015573325 0.00485012 0.0018909035 0.0024424607 0.0074286247 0.0066186893 0.0031205707 0.004005383 0.011063841 0.0012929435 0.0007434952 0.0009997637 0.003728022 0.0014279326 0.0030246018 0.011702931 0.013653947 0.0039695264 0.0026765827 0.0035055007 0.0055081923 0.005495537 0.0032566146 0.0041783378 0.007458153 0.0008320819 0.001057767 0.0011094424 0.0034706988 0.0011579542 0.002837937 0.006786371 0.00069076504 0.00046613457 0.00043238729 0.00036489268 0.0005019911 0.00045453396 0.00042395046 0.00029001586 0.0005041003 0.00041234982 0.00026365079 0.0003026711 0.00040074918 0.0003680565 0.00028896125 0.00031427175 1531.0 15.743958 24104.0 0.044308 0.0016179887 0.0031944904 0.004231663 0.0062645203 0.0055592433 0.001535015 0.0021573182 0.0029040824 0.002198805 0.0029040824 0.0032359774 0.00373382 0.0075091273 0.018088285 0.0033189512 0.012238633 0.0077580484 0.007135745 0.0065549286 0.0036923331 0.0024892134 0.0031530038 0.0012860936 0.0053932955 0.002240292 0.002240292 0.005974112 0.003028543 0.002281779 0.0017424494 0.011657816 0.011408895 0.01481082 0.005185861 0.0100813145 0.037172254 0.01920843 0.007177232 0.008380352 0.0026966478 0.00933455 0.0018254232 0.003775307 0.0043146363 0.008214404 0.007592101 0.0070527713 0.010330236 0.0031115168 0.00560073 0.012570527 0.0073846662 0.0032774643 0.010745104 0.006430468 0.009707932 0.0016594756 0.0017424494 0.0009127116 0.0052273483 0.0019498839 0.00053932954 0.022568868 0.0021158315 0.042731497 0.014354464 0.020701958 0.021988051 0.06496847 0.009666446 0.010413209 0.010371722 0.034766015 0.00439761 0.002655161 0.023440093 0.013815135 0.027132425 0.02987056 0.016179888 0.0008712247 0.044764355 0.029663127 0.044473946 0.011782276 0.015059741 0.009251577 0.008629273 0.0065549286 0.0021158315 0.00024892134 0.0074261534 0.00078825094 0.013898108 0.0012860936 5.8809547 1.0 13.0 0.0 5.0 475759.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 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 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0107484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.013299372 0.0046713916 0.0040673325 0.0047317976 0.0038559118 0.0040673325 0.003704897 0.004570715 0.0036847617 0.0037149645 0.0036243557 0.0044096326 0.0036847617 0.004198212 0.0036243557 0.004933151 0.0037250323 0.0040673325 0.003644491 0.0042787534 0.0035236792 0.0040471973 0.0036646263 0.004168009 0.0036646263 0.0041780765 0.003443138 0.0040874677 0.0033927995 0.0038961824 0.0035035438 0.004137806 0.003443138 0.0040371297 0.0033424613 0.0040673325 0.0036243557 0.0041478737 0.003322326 0.0039565885 0.0033625967 0.004057265 0.0033021907 0.004137806 0.0032820555 0.004198212 0.0033726643 0.0042183474 0.0032518525 0.004319024 0.0034632732 0.0042787534 0.0034934762 0.0043894975 0.0035136114 0.004016994 0.0034330701 0.0042183474 0.0036344233 0.004429768 0.0034733408 0.004228415 0.0035639498 0.003926385 0.0038257088 0.0043592947 0.0032719877 0.0039565885 0.0033424613 0.0041579413 0.003352529 0.0044700387 0.0036344233 0.0041277385 0.0032518525 0.0043290914 0.003382732 0.0038559118 0.003382732 0.0038659794 0.003231717 0.004137806 0.0034532056 0.0042787534 0.0034834086 0.0040975353 0.0035136114 0.004107603 0.00326192 0.004288821 0.0036646263 0.0044700387 0.003292123 0.0044096326 0.003644491 0.0041780765 0.0032820555 0.004016994 0.00326192 0.004319024 0.0040270616 0.004016994 0.0035136114 0.0042384826 0.0033927995 0.004520377 0.003322326 0.003704897 0.0035639498 0.0039465204 0.003553882 0.0043492266 0.0034330701 0.0038357764 0.0036243557 0.0046512564 0.0037955057 0.004137806 0.0036344233 0.004399565 0.0034230025 0.0038659794 0.0034532056 0.0039565885 0.0033323937 0.0038659794 0.0031713112 0.004188144 0.0037955057 0.005557345 0.0034330701 0.004339159 0.003382732 0.0041478737 0.0035639498 0.0043894975 0.003584085 0.0042586178 0.003614288 0.0045606475 0.0032015142 0.0044197002 0.0034632732 0.0040975353 0.003443138 0.0040069264 0.003755235 0.0042988886 0.0033424613 0.004137806 0.0033323937 0.0040673325 0.003704897 0.0042988886 0.0030504994 0.004308956 0.003292123 0.0041780765 0.003120973 0.0041780765 0.003443138 0.0036545587 0.0032015142 0.004439836 0.0035236792 0.004107603 0.0035438144 0.0041277385 0.003443138 0.003755235 0.003412935 0.0042686854 0.0033122583 0.0040270616 0.0035639498 0.0043492266 0.0033625967 0.0041579413 0.0034330701 0.0040774 0.0034230025 0.0040270616 0.0034632732 0.004057265 0.0035236792 0.0041780765 0.0035337468 0.004137806 0.0038055736 0.003755235 0.0036847617 0.0037854381 0.003553882 0.0048626773 0.0037250323 0.0037250323 0.0036847617 0.004631121 0.0034632732 0.00472173 0.0038659794 0.004399565 0.0038861148 0.0043290914 0.003614288 0.00420828 0.0037451675 0.004137806 0.0033021907 0.004117671 0.003553882 0.004057265 0.0036646263 0.004610986 0.0037753705 0.004107603 0.0035941526 0.0040874677 0.0038257088 0.004057265 0.0034532056 0.0041780765 0.0035136114 0.0039163176 0.003584085 0.0038357764 0.0035941526 0.00420828 0.0034230025 0.00420828 0.0037351 0.004339159 0.003584085 0.0039867912 0.0036243557 0.004228415 0.0036746939 0.0042988886 0.0035035438 0.004168009 0.0035941526 0.004641189 0.0039767236 0.0044499035 0.0035639498 0.004198212 0.003755235 0.0048224065 0.0038659794 0.004631121 0.0035337468 0.0038559118 0.0034733408 0.004308956 0.003765303 0.004641189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004887899 0.00035603842 0.00023905437 0.00018819173 0.00032552084 0.00022888184 0.0004374186 0.00035095215 0.0009104411 9.6639e-05 0.00015767415 0.0002492269 0.0005950928 0.00039672852 0.0002746582 0.00072224933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0043691 0.0006306966 0.000600179 0.0007171631 0.00057474774 0.00077819824 0.00065612793 0.0007680257 0.0027974446 0.00035603842 0.0005238851 0.00090026855 0.002319336 0.0012868246 0.0010986328 0.002456665 0.06239319 0.06055705 0.059265137 0.061086018 0.059799194 0.060760498 0.05990092 0.059834797 0.06029765 0.0602773 0.05970764 0.05960083 0.06192525 0.060389202 0.060841877 0.062113445 459.0 5.6993465 2616.0 0.010703363 0.01146789 0.009556575 0.011085627 0.009556575 0.012232416 0.009556575 0.014525994 0.0091743115 0.008409786 0.009556575 0.014908257 0.009556575 0.013761468 0.009556575 0.01146789 0.009938838 0.010703363 0.008027523 0.011850153 0.005733945 0.012614679 0.01146789 0.0091743115 0.008409786 0.01146789 0.00764526 0.013379205 0.0091743115 0.0091743115 0.008027523 0.010321101 0.008027523 0.008409786 0.0091743115 0.008792049 0.006498471 0.012614679 0.006880734 0.008792049 0.010321101 0.011085627 0.01146789 0.012996942 0.012232416 0.006498471 0.008027523 0.015672782 0.00764526 0.008027523 0.009556575 0.011085627 0.012232416 0.011850153 0.008792049 0.010703363 0.012232416 0.010703363 0.010703363 0.012232416 0.009556575 0.013761468 0.012614679 0.013379205 0.008409786 0.009556575 0.0091743115 0.013379205 0.010321101 0.012996942 0.011085627 0.01529052 0.00764526 0.013761468 0.008792049 0.009938838 0.011085627 0.008409786 0.010321101 0.016819572 0.010703363 0.008792049 0.010321101 0.016437309 0.009556575 0.011850153 0.00764526 0.011085627 0.011850153 0.008792049 0.009556575 0.009556575 0.008792049 0.007262997 0.006116208 0.009938838 6.5510674 0.0 0.0 0.0 1.0 99328.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 512.0 512.0 4096.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.985904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13692689 0.015790261 0.00645455 0.013626272 0.021044327 0.0035983336 0.004278088 0.003205448 0.012332244 0.002110981 0.002139044 0.002404086 0.008839928 0.002759554 0.0018054032 0.014234309 0.028212931 0.0019114199 0.0013376821 0.0016307873 0.0052166483 0.0032241568 0.001468644 0.0011848932 0.0037511226 0.001047695 0.00097285974 0.0011630662 0.0029248155 0.0011599481 0.00092920574 0.0016089603 0.0056126523 0.0007857713 0.0019207743 0.0016962682 0.010252445 0.0011693025 0.00073588104 0.0008481341 0.0022731242 0.00079824385 0.0023074236 0.0031524396 0.0020860357 0.002734609 0.0014717621 0.000957269 0.00591823 0.0027439634 0.0022450609 0.0075115995 0.0026348284 0.0022731242 0.0017711036 0.001914538 0.003380064 0.0029653513 0.0024446219 0.006563685 0.0035733886 0.0042188438 0.0022606517 0.0064483136 0.0051355767 0.0031181402 0.0017835761 0.0024602124 0.004942252 0.010118364 0.0041346536 0.0023198961 0.0027657903 0.0014499351 0.0009822141 0.001000923 0.0034143634 0.0047239824 0.002001846 0.0012036021 0.007524072 0.0032834015 0.0015403612 0.0044184043 0.0022949511 0.005494163 0.0057529686 0.004499476 0.0017523947 0.003997456 0.00089178805 0.0025755838 0.0015216523 0.00551599 0.004178308 0.0034143634 0.0014967072 0.0033488825 0.0012285472 0.0023479594 0.0024009678 0.00502956 0.006170799 0.0013626273 0.0037105868 0.0029871783 0.005724905 0.0011007035 0.0025319296 0.0017555129 0.0031306127 0.0031742665 0.0035983336 0.0013314458 0.0048642987 0.0047239824 0.013573264 0.013264568 0.002089154 0.0021047445 0.0020392637 0.0019083017 0.0012036021 0.00078265317 0.0021016265 0.0025755838 0.0016713231 0.0023666683 0.0045244214 0.0038197215 0.0016120784 0.015369313 0.0033707095 0.010230618 0.0012191928 0.00075770804 0.0020548543 0.012042257 0.0016058421 0.042946145 0.0011693025 0.009716124 0.00058621034 0.0004957843 0.0021234534 0.0006610457 0.0006516913 0.0006392187 0.0010321044 0.00078265317 0.00043030333 0.0004957843 0.0010102774 0.00057997403 0.0006205099 0.0006735183 0.0009229695 0.0007140541 0.0005768559 0.0013283277 0.0014062811 0.0016307873 0.00052696565 0.001091349 0.001069522 0.00070469966 0.0004801936 0.00046772102 0.00129091 0.0005519108 0.0004957843 0.0005581471 0.00088243367 0.00044589402 0.0005144931 0.0005020205 0.0016588506 0.00058932847 0.00046772102 0.0004427759 0.0010975853 0.00085437036 0.0019956096 0.00142499 0.0020174365 0.0011038216 0.0011007035 0.0007389992 0.00142499 0.0016588506 0.0012815556 0.0014655258 0.009862677 0.0058215675 0.004165835 0.0056874873 0.0045337756 0.0010632857 0.0034767261 0.005066978 0.0036108063 0.0034455447 0.0016619687 0.0012004839 0.013972386 0.0008886699 0.001849057 0.0015091798 0.0027938536 0.0017773398 0.001624551 0.00097285974 0.0011755389 0.0004833117 0.0011350029 0.0009198513 0.0023947316 0.0017898125 0.0010819946 0.0022731242 0.0012160747 0.0015434794 0.00073588104 0.00092920574 0.0027003093 0.0012503741 0.0009042606 0.0007483536 0.002734609 0.0026535373 0.0009385602 0.0006392187 0.014932773 0.0026909548 0.00074211735 0.0054380363 0.005830922 0.00050825684 0.0008855518 0.0011225304 0.0049141888 0.0015715426 0.0017056226 0.0014187538 0.002223234 0.00058932847 0.0029934144 0.0027907353 0.006092846 0.002135926 0.0016151966 0.0013002644 0.0047551636 0.001446817 0.0039288565 0.04355418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025493915 0.00016745542 0.00014554537 0.0 6.729517e-05 4.0690105e-05 6.2600164e-05 5.3210137e-05 4.695012e-06 2.347506e-05 0.0 3.1300082e-05 6.260016e-06 1.4085036e-05 1.565004e-06 3.7560098e-05 0.0036417644 0.0 0.00036464594 0.0 6.4165164e-05 3.7560098e-05 0.0015963041 0.0007058168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009920561 0.00038342597 0.00069173175 3.5995094e-05 0.0008623172 0.0004256811 0.0014069387 0.00091552734 5.477514e-05 6.573017e-05 5.790515e-05 7.355519e-05 3.1300082e-05 0.000107985274 2.8170072e-05 0.00096404244 0.0073492588 0.00080754206 0.0005023663 0.0001580654 0.00022536058 9.390024e-05 0.0017872346 0.0006682567 0.00017215044 0.00021284055 6.1035156e-05 5.1645133e-05 5.477514e-05 7.042518e-05 6.4165164e-05 0.0005414914 0.01966271 0.0027700572 0.0017966246 0.0005446214 0.001582219 0.00094526244 0.0061802007 0.004385141 0.000791892 0.00038029597 0.0003599509 0.00025666066 0.00024257562 0.00030674078 0.0005054963 0.00095621747 0.022371732 0.005432129 0.0033819736 0.0010000375 0.0015931741 0.0013991136 0.0052271136 0.004272461 0.0026432918 0.00049767125 0.00043820112 0.0006338266 0.00043663612 0.00056340144 0.00041942106 0.00097186747 0.012208596 0.0026980669 0.0017762795 0.018786307 0.00196408 0.0016573393 0.0034570938 0.0025446964 0.0018811348 0.0013365134 0.0013255584 0.0014538887 0.0016917693 0.0015086639 0.001558744 0.0018435747 0.010510567 0.0014085036 0.0009906476 0.0028091823 0.0014538887 0.0013615534 0.0017934946 0.0015258789 0.0033037234 0.0007402469 0.00068234175 0.0010000375 0.001582219 0.0008451022 0.0013005183 0.003948505 0.083510175 0.019207295 0.0137391705 0.015989646 0.022905398 0.024382763 0.009051983 0.019772261 0.053887784 0.0037763547 0.0033162434 0.005859375 0.03560071 0.008055076 0.018232297 0.03450834 0.07714844 0.024193397 0.014603052 0.017737756 0.01997571 0.027648926 0.016103892 0.024576822 0.048274115 0.0052631083 0.0056261895 0.008704552 0.027536245 0.010480831 0.021809896 0.03813758 0.0021644006 0.00071833684 0.00073085685 0.0018028846 0.0009202224 0.0007073818 0.00071520684 0.00077780697 0.0008278871 0.0009233524 0.00070894684 0.0012222681 0.000776242 0.00087953225 0.00080754206 0.0013427734 1359.0 13.765268 18707.0 0.034799807 0.0010691185 0.0017105896 0.0017640456 0.012829422 0.0024589726 0.0015502218 0.0034211793 0.005131769 0.0019244134 0.0009622067 0.0019244134 0.0061474317 0.0036884588 0.013363982 0.00694927 0.02426899 0.015074571 0.012829422 0.010637729 0.0123483185 0.009034052 0.008927139 0.010049714 0.012455231 0.011920671 0.0132570695 0.012241407 0.014807291 0.011653392 0.010905009 0.015929867 0.011760304 0.008499492 0.0018709574 0.011118833 0.008552948 0.0051852246 0.00432993 0.0049179452 0.005612872 0.0044368417 0.0013363982 0.0013898541 0.008499492 0.0031538997 0.004276474 0.002138237 0.014540012 0.0037953707 0.0049714013 0.014753835 0.0112792 0.0033142674 0.008232213 0.009461699 0.004864489 0.0020847812 0.0033142674 0.0025658845 0.0053990483 0.0016036778 0.0030469878 0.007163094 0.005880152 0.03346341 0.008018388 0.02597958 0.020740898 0.054631956 0.006521623 0.009408243 0.011493024 0.02977495 0.00577324 0.004383386 0.022344576 0.015822954 0.028331641 0.035494734 0.0149676595 0.0015502218 0.03827444 0.028919656 0.050729673 0.014272732 0.00577324 0.0051852246 0.006521623 0.010584273 0.0023520608 0.0010691185 0.00432993 0.00074838294 0.0010691185 0.0020847812 6.002288 0.0 36.0 0.0 6.0 320704.0 331776.0 1.0 5.0 95.0 1.0 0.0 1.0 1.0 0.0 1541667000.0 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 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 -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 12.0 5.0 1.0 5.0 1.0 218112.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6004305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8173757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.430635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6858907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -217872.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 152.0 294144.0 40.0 294296.0 0.0 0.0 0.0 0.0 13504.0 307200.0 12128.0 319488.0 56.0 288032.0 0.0 0.0 0.0 0.0 24.0 288088.0 64.0 243592.0 0.0 0.0 384.0 225280.0 96.0 293988.0 0.0 0.0


Input: 0.092316285 0.011439206 0.0073675113 0.006783929 0.012390662 0.012144855 0.0065598604 0.0029363027 0.009837283 0.0022256372 0.002712234 0.00245305 0.007344101 0.0026336426 0.0022507193 0.00839923 0.021756398 0.0025650845 0.0022072433 0.0017992378 0.0052923677 0.0029781065 0.0042589763 0.0018744848 0.005337516 0.0031988309 0.0017122858 0.0019196329 0.0044445856 0.0016838592 0.0019096 0.0021988826 0.006834094 0.0016437275 0.0023259665 0.0018410417 0.010476045 0.0016253338 0.001476512 0.0018243202 0.002658725 0.0016437275 0.0017022529 0.0029680736 0.0023125892 0.0020433723 0.0019430431 0.0020433723 0.0038342495 0.0035834264 0.0027155783 0.006487958 0.003743953 0.0034145387 0.0026821352 0.0025316414 0.0041252044 0.0041703526 0.0029262698 0.0073741996 0.0033560132 0.0029179088 0.0028560392 0.0027172505 0.0041519585 0.0026353148 0.0025701008 0.002690496 0.006160216 0.010715163 0.0041954345 0.0027540377 0.0034981463 0.0022908512 0.0022156043 0.0020952092 0.003222241 0.005747194 0.0024463616 0.0019096 0.0070916056 0.0027473492 0.0019129444 0.004563309 0.0032038472 0.003580082 0.0046820315 0.0040884167 0.0033794234 0.0052923677 0.0015918907 0.0022507193 0.0022390143 0.0034479818 0.002974762 0.0031503383 0.002484821 0.0043425844 0.0019664532 0.0027975137 0.0035399504 0.0064294324 0.0032306018 0.0025266248 0.004912789 0.0036870998 0.0068006506 0.0017657947 0.0033560132 0.0027858089 0.0037071656 0.0037021493 0.0039145127 0.0016119566 0.004732196 0.003937923 0.013092967 0.01429859 0.0028376456 0.0025082312 0.0027105617 0.002137013 0.002137013 0.0016169731 0.0029446634 0.004324191 0.0025366577 0.0025767896 0.0042138286 0.0021018977 0.0015751692 0.013221723 0.0048994115 0.007479545 0.0017942213 0.0017507453 0.0024614108 0.011778654 0.002648692 0.024973622 0.001866124 0.010126566 0.0015952351 0.0015149716 0.0020216343 0.0014046094 0.0013477562 0.002040028 0.0018460582 0.0014815285 0.001431364 0.0013912322 0.0019998963 0.0015935629 0.001421331 0.0013661499 0.002473116 0.0016169731 0.0015350375 0.00180091 0.0016286781 0.0021336686 0.0012858865 0.0016637933 0.0016370389 0.0015801856 0.0013728385 0.0013059523 0.0018912063 0.0014932336 0.0014731678 0.001540054 0.0017741555 0.0013828714 0.0013511005 0.0013728385 0.0020417 0.0012959194 0.0014932336 0.0015066109 0.0017741555 0.0015015944 0.0033576854 0.0017507453 0.004297436 0.0024798044 0.0022975397 0.0016069401 0.0018560911 0.0019396988 0.0018410417 0.0015701527 0.007733713 0.003362702 0.0025450187 0.006456187 0.0040834 0.0015885464 0.004014842 0.005043217 0.0035098514 0.0028343012 0.0024062297 0.001954748 0.0028393178 0.0015718249 0.002038356 0.0018795013 0.002648692 0.0018494024 0.0019296658 0.0017958935 0.002180489 0.0014163145 0.0017022529 0.0015450704 0.002929614 0.0017440567 0.0015517591 0.002463083 0.0022724574 0.0013945765 0.00147484 0.0014347082 0.0032055194 0.0017022529 0.001648744 0.0015952351 0.0027741038 0.0016186452 0.0016186452 0.0014698234 0.01653426 0.00455662 0.0017005807 0.00629566 0.0045298655 0.0020015684 0.0017173022 0.0016353667 0.003417883 0.001976486 0.0021403572 0.0019279937 0.0024881654 0.0015216602 0.003028271 0.0024346565 0.0054846653 0.002322622 0.0019246493 0.0025550516 0.0044445856 0.0023276384 0.0059629017 0.0377957 0.0034305318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027035538 0.00019346992 7.5377895e-05 1.2562982e-05 4.8576865e-05 4.1039075e-05 4.606427e-05 5.6114655e-05 2.4288433e-05 1.8425708e-05 1.8425708e-05 1.7588176e-05 2.5963496e-05 1.4238047e-05 5.5277123e-05 7.956556e-05 0.0048199976 0.002475745 0.00021775837 6.197738e-05 6.5327506e-05 4.9414397e-05 5.2764528e-05 3.433882e-05 4.3551674e-05 0.00013986787 7.621542e-05 5.025193e-05 1.926324e-05 4.69018e-05 3.852648e-05 0.00038442726 0.021594929 0.0030151159 0.00077722984 0.0004891188 0.00036600156 0.00020184525 0.00018509461 0.00017923188 0.00021775837 0.00052178255 0.00036265142 0.00047069308 0.00057873473 0.00026633524 0.00039615273 0.0029673765 0.012135841 0.0020770798 0.0031985354 0.0007328406 0.0014556309 0.001392816 0.011071337 0.0059515038 0.00014489307 0.00017588175 9.0453475e-05 0.00011809204 0.00024120926 0.00020184525 0.0002998365 0.0018785846 0.009420562 0.0012127466 0.001902873 0.0010310021 0.0014296673 0.001471544 0.0054648975 0.0033283527 0.0002998365 0.0001197671 0.0001691815 0.0002730355 0.00025209718 0.00015326838 0.00018341954 0.0007320031 0.0017822684 8.542828e-05 0.00036348894 0.00026717276 0.00014908072 9.7991266e-05 0.0008509327 0.000495819 3.433882e-05 2.9313625e-05 8.2915685e-05 0.00011222931 0.000121442165 7.454036e-05 4.1876607e-05 0.0005569589 0.007610655 0.0014924823 0.0014547934 0.015020302 0.002123144 0.0017470921 0.0047127935 0.0029263373 0.001172545 0.0010603158 0.0009514365 0.0010217893 0.0011038674 0.0010603158 0.0014221296 0.0014321799 0.0053501553 0.0007194401 0.0005678468 0.0009137476 0.0009958257 0.0006725383 0.0015268212 0.0012897996 0.0019162736 0.00038107714 0.00027219794 0.00034506325 0.0006725383 0.00023199641 0.0005184324 0.0007789049 0.03362859 0.007932267 0.0037337183 0.005284828 0.009088062 0.008871141 0.0026030499 0.009540329 0.021371309 0.001654126 0.001027652 0.0028844608 0.008323395 0.0026373889 0.007767273 0.014304211 0.06942555 0.026638549 0.015934886 0.016182797 0.025499504 0.02463852 0.012406364 0.025397325 0.05066567 0.0040486306 0.004691855 0.0078007746 0.023164464 0.00828738 0.025286771 0.040719975 0.017439095 0.01935788 0.017157683 0.019480998 0.01810577 0.01705383 0.019110808 0.018768258 0.018223025 0.018627552 0.017130045 0.019504448 0.019373793 0.017358692 0.018606614 0.018011967 3341.0 12.93894 43229.0 0.049850795 0.0018274769 0.0036780864 0.0021050684 0.008050151 0.0024289251 0.0016886812 0.0038400148 0.004140739 0.0021513335 0.0036318211 0.0021975988 0.003469893 0.005574961 0.0075412337 0.009299313 0.011589442 0.0129774 0.008790395 0.008582202 0.010062689 0.008443406 0.008813528 0.007656897 0.009067987 0.009368711 0.012491615 0.007888223 0.009600037 0.008489671 0.00777256 0.006986051 0.0046496564 0.006500266 0.003169169 0.006199542 0.011913299 0.00529737 0.0058062873 0.0050891764 0.00626894 0.0075643663 0.0022207315 0.0021975988 0.0050197784 0.011635708 0.0050197784 0.004140739 0.015868977 0.0028453122 0.0044877282 0.013717643 0.006986051 0.0056212265 0.008466539 0.010340281 0.009646302 0.0043951976 0.0019200074 0.0024057925 0.0039788107 0.0022901292 0.0025677208 0.010826066 0.0042332695 0.04096787 0.00777256 0.018829953 0.021490203 0.06051493 0.012028962 0.009484374 0.013416919 0.03250133 0.004001943 0.0036780864 0.023988526 0.018529229 0.033310972 0.032524463 0.022508038 0.0029609753 0.035184715 0.027597215 0.05484744 0.017950913 0.0063152052 0.0048809825 0.008720998 0.008327743 0.0037243518 0.0017812117 0.0031460363 0.0014110898 0.0020356704 0.0022207315 5.979153 0.0 52.0 0.0 4.0 598031.0 622592.0 0.0 141.0 82.0 1.0 1.0 0.0 0.0 0.0 1210221200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 312832.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -492544.0 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 -6.267133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3304734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.004676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.744999 0.0 3.6652966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21098.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -492806.0 0.0 1352.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 2.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 2.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 1.0 1.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 -2.0 0.0 0.0 3.0 1.0 1.0 -2.0 -2.0 -1.0 2.0 0.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 5286.0 388208.0 40.0 386320.0 1352.0 413696.0 0.0 0.0 0.0 0.0 18192.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 357136.0 0.0 0.0 332.0 319488.0 0.0 0.0 0.0 0.0


Input: 0.056761425 0.008304779 0.0061756945 0.005666498 0.0057567223 0.004964408 0.0042000944 0.0054217516 0.00504841 0.0056239786 0.0037541585 0.0044790637 0.0049550747 0.0031682195 0.004321431 0.004638771 0.0050359652 0.0037686774 0.004928111 0.0041637975 0.0043504685 0.0031723678 0.004102611 0.003844383 0.0050732996 0.0033548903 0.003159923 0.0029286586 0.0041544638 0.003435781 0.0037883816 0.00379253 0.0061756945 0.0038153452 0.003484523 0.0030282163 0.0049042585 0.0041669086 0.0038423087 0.0037230467 0.004726921 0.0038910506 0.003330001 0.0030925141 0.0043722466 0.003727195 0.003726158 0.0035830436 0.0055192355 0.0039460147 0.003105996 0.002902732 0.003676379 0.0030665875 0.0026849494 0.0028633238 0.0041669086 0.0033082226 0.003519783 0.0033590386 0.004006164 0.003228369 0.0035042271 0.0034523741 0.0066040005 0.0039449777 0.0036214148 0.0032179984 0.004155501 0.0032221465 0.0035498578 0.0030624394 0.0049996683 0.003779048 0.0037033428 0.003589266 0.004124389 0.0031257 0.0035581542 0.0034658557 0.005168709 0.0036328225 0.0036597862 0.0033414087 0.0039283847 0.0033756315 0.0033600756 0.003535339 0.004649142 0.003642156 0.0038070488 0.00350319 0.004111944 0.0033860023 0.0036857126 0.0037852705 0.005913318 0.0036338596 0.0033414087 0.002952511 0.004006164 0.0030479205 0.0032667401 0.0030354757 0.004976853 0.003161997 0.0032024425 0.0030479205 0.0035799325 0.002832212 0.0030790323 0.0031951831 0.0045070644 0.0032864443 0.0032252579 0.0031454042 0.0038889765 0.0033372603 0.0032926667 0.0036276372 0.0046252892 0.0032926667 0.0034814118 0.0031723678 0.004035202 0.0031868867 0.003470004 0.0033434827 0.008648046 0.0045983256 0.0040103127 0.0035260054 0.0043722466 0.0034399293 0.0030209569 0.0033870393 0.004539213 0.0038412716 0.0029597704 0.0031889607 0.0037323805 0.0028011 0.0028456936 0.0029815487 0.0052267844 0.0031993312 0.0035000788 0.0030271793 0.003657712 0.003177553 0.0033061486 0.003263629 0.00454025 0.0028384342 0.003040661 0.0027088018 0.00352082 0.003227332 0.0029836227 0.0031516266 0.0050121127 0.0034098546 0.0032688144 0.0027948779 0.0037728257 0.0030095493 0.003058291 0.0031827383 0.004137871 0.0030002156 0.0031205148 0.0030105864 0.0036452673 0.002835323 0.0029172509 0.0030344387 0.0046646977 0.0031132554 0.0038423087 0.0028591754 0.0035643766 0.0031516266 0.0029856968 0.0031174035 0.0042477995 0.0031464412 0.0033362233 0.0031785902 0.0036525268 0.0031962201 0.003331038 0.0033455568 0.0067191143 0.0040673506 0.0037209727 0.0033362233 0.004111944 0.0032532585 0.0033030373 0.0032242208 0.004330764 0.003330001 0.003111181 0.0030800693 0.0036473414 0.0029846597 0.0030862917 0.0027896925 0.004243651 0.0032833333 0.0030873287 0.0029950305 0.0037126762 0.0030240682 0.0029338438 0.0029473256 0.0039771264 0.003110144 0.0027202093 0.0026362075 0.0035260054 0.0029442145 0.0035757842 0.0028882131 0.00496026 0.003228369 0.0033994839 0.0029659928 0.003812234 0.00307281 0.0032024425 0.0029089544 0.004444841 0.005458049 0.0034637817 0.0031329594 0.0037904556 0.0030831806 0.0032491102 0.0031962201 0.0046118074 0.003316519 0.003417114 0.0030437722 0.0037313432 0.0030894028 0.003314445 0.0032418508 0.004348394 0.0030302904 0.0031899977 0.0028622868 0.004008238 0.0030925141 0.004221873 0.004521583 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045872466 0.0002945271 0.00027322973 0.00026491855 0.00031011054 0.00023946559 0.00033036902 0.00031322724 0.00032725232 0.00035322472 0.00032725232 0.00035322472 0.0005225648 0.00015167886 0.00018700134 0.0007391747 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.099277966 0.06201691 0.062467795 0.05532019 0.060591027 0.05956304 0.054928005 0.054463618 0.0604674 0.053138506 0.05210636 0.052931767 0.056406353 0.050529316 0.056664 0.053808592 4020.0 5.704229 22931.0 0.01722559 0.010466181 0.009332345 0.008678208 0.01338799 0.012472199 0.011861672 0.01146919 0.012603027 0.009724827 0.008460163 0.0086346 0.013911299 0.010553399 0.0118180625 0.009986482 0.01674589 0.01194889 0.008721817 0.007544372 0.009812045 0.008503772 0.007849636 0.008329336 0.010378963 0.008416554 0.009593999 0.008852645 0.011556408 0.009027082 0.009637608 0.009157908 0.018054163 0.010945881 0.010378963 0.009114299 0.010858663 0.008809036 0.010684227 0.008285726 0.014216563 0.011600018 0.009724827 0.008939863 0.011425581 0.009332345 0.011687236 0.009550391 0.014783481 0.009593999 0.009986482 0.009114299 0.012036108 0.009375954 0.009550391 0.009768436 0.0136932535 0.0092451265 0.01050979 0.009506782 0.0111203175 0.009812045 0.0104225725 0.010684227 0.017966945 0.01098949 0.009681217 0.008198509 0.013082727 0.008242117 0.009375954 0.008372945 0.015437617 0.009288736 0.008896254 0.008721817 0.011381972 0.008024072 0.009899263 0.007849636 0.013257163 0.007980463 0.008678208 0.008809036 0.011512799 0.009550391 0.008242117 0.007849636 0.010902272 0.008852645 0.011992499 0.008503772 0.0113383625 0.008939863 0.009986482 0.008721817 6.554435 0.0 0.0 0.0 14.0 964264.0 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