Input: 0.02337879 0.0051823864 0.0055016675 0.0043195346 0.0066151945 0.0039553954 0.004037195 0.0035727855 0.005747066 0.003636114 0.0036176434 0.0034514058 0.0048419954 0.0037337458 0.0036229207 0.004166491 0.0050029554 0.0036255594 0.003636114 0.0033537743 0.004504243 0.003952757 0.0034039095 0.0033722452 0.0045860424 0.003467238 0.0035226506 0.0034302964 0.0039078994 0.0033986322 0.003425019 0.003279891 0.004029279 0.0033168327 0.0035543148 0.003374884 0.009092924 0.0033036394 0.003366968 0.003314194 0.003628198 0.003578063 0.0033986322 0.0038709575 0.0037706874 0.0034197415 0.0035332053 0.0033115554 0.0040319175 0.0035833404 0.003612366 0.0047496413 0.003688888 0.0033801612 0.003475154 0.0032403108 0.0038894285 0.0036598623 0.0032983618 0.004377586 0.0038261 0.0034171029 0.0034012708 0.0037311069 0.0041163554 0.0037917967 0.003366968 0.003673056 0.007325002 0.0046045133 0.0041269106 0.0034962636 0.0037759647 0.0033986322 0.0031928143 0.0033880773 0.0045016045 0.0035332053 0.003799713 0.0034276578 0.0054515325 0.004538546 0.0040081693 0.0041189943 0.0040081693 0.0039606728 0.004512159 0.004462024 0.0035622308 0.0037574938 0.0034645994 0.0038656802 0.003934286 0.0038999831 0.004324812 0.0040002535 0.0035543148 0.003425019 0.0032587815 0.0033247487 0.004206071 0.003287807 0.0038604029 0.0033828 0.0046018744 0.0034118255 0.0042350967 0.0034065482 0.0035833404 0.0032429495 0.0034725154 0.003509457 0.003501541 0.003578063 0.0038788735 0.0035965338 0.005010871 0.0049079624 0.003628198 0.0036519463 0.003585979 0.0034091868 0.0034012708 0.0033616906 0.00398706 0.0034989023 0.003688888 0.0036176434 0.004071498 0.0036413916 0.003432935 0.005897471 0.0036862493 0.004863105 0.0033933548 0.0034012708 0.0037363844 0.006881702 0.003475154 0.011090412 0.0036255594 0.0060452376 0.0033247487 0.0034276578 0.0035120957 0.0033986322 0.003169066 0.0032007303 0.0032508655 0.0036308367 0.0035463988 0.0032060079 0.0033590517 0.0032614202 0.0031558727 0.0034514058 0.0035833404 0.0033458583 0.0033537743 0.0033828 0.0033986322 0.0037522165 0.0034223804 0.0037099975 0.0034777927 0.0033537743 0.0033880773 0.0032930844 0.0033696066 0.003425019 0.0034804314 0.0034909863 0.0033986322 0.0035991725 0.0033353036 0.0033168327 0.0033537743 0.0034382124 0.003314194 0.0034118255 0.003467238 0.0034118255 0.0034883476 0.003509457 0.0037522165 0.00348307 0.0033959935 0.0033353036 0.0032825298 0.0034039095 0.003356413 0.003348497 0.004725893 0.0037179135 0.0040741367 0.004351199 0.004860466 0.0034962636 0.00414802 0.004538546 0.0037284682 0.003578063 0.0034434898 0.0033643292 0.009831757 0.0033722452 0.003578063 0.003467238 0.0038551253 0.0035463988 0.0034514058 0.003501541 0.0034514058 0.0034645994 0.003440851 0.0033643292 0.0036334754 0.0034619607 0.0033511356 0.0034434898 0.003356413 0.003636114 0.003440851 0.003475154 0.003535844 0.0035226506 0.0035147343 0.0032587815 0.0032640588 0.0035675082 0.0033643292 0.0033458583 0.0066890777 0.0035068183 0.0034566834 0.004166491 0.0037469391 0.0033036394 0.0034645994 0.003390716 0.003646669 0.0034698767 0.0037548551 0.0032825298 0.0033089167 0.0034804314 0.0036413916 0.0035833404 0.0037786034 0.0037126362 0.0034118255 0.003374884 0.003501541 0.0036044498 0.003585979 0.00791343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013285484 0.00011909299 0.00016276042 6.2193e-05 0.0001482046 0.0001362953 0.00012835578 7.41023e-05 0.00017202321 4.7637193e-05 1.455581e-05 4.631394e-05 0.00016673018 1.8525576e-05 3.5727895e-05 4.896045e-05 0.0006761835 0.00017863949 9.395114e-05 9.395114e-05 0.00021039761 0.00021833714 4.3667427e-05 0.00024215574 0.0005120998 6.616277e-06 9.262788e-06 5.293022e-06 0.0002699441 2.7788365e-05 7.41023e-05 4.7637193e-05 0.018561304 0.003915513 0.004025343 0.0029654154 0.005443873 0.0065315887 0.0020338437 0.0036852662 0.011279429 0.0003890371 0.00058620214 0.00074763934 0.008049362 0.001165788 0.002968062 0.0035330919 0.015078495 0.0031731664 0.0046657985 0.003175813 0.0051196753 0.005392266 0.002450669 0.0027894224 0.0084953 0.0005703231 0.0009143695 0.0009408346 0.006652005 0.0010916857 0.0028926365 0.0043482175 0.052897137 0.05252133 0.052963298 0.053136643 0.05265895 0.053656682 0.053119443 0.053552147 0.053632867 0.05282965 0.05374799 0.053034753 0.053222656 0.05362228 0.053193543 0.05315914 1704.0 5.6396713 9610.0 0.013943808 0.008949012 0.009469302 0.00905307 0.022996878 0.009469302 0.009781478 0.00905307 0.009469302 0.008220604 0.009885536 0.009469302 0.011550468 0.0073881373 0.011238294 0.009365245 0.00842872 0.008844953 0.009469302 0.011134235 0.010509886 0.009157128 0.008636837 0.009261186 0.012591051 0.013527576 0.009157128 0.011342351 0.011342351 0.009469302 0.009157128 0.010718002 0.011342351 0.010926119 0.010405827 0.009469302 0.016753381 0.010301769 0.008949012 0.00842872 0.009989594 0.008324662 0.008116545 0.008636837 0.009677419 0.009989594 0.009365245 0.010301769 0.012382935 0.011238294 0.012486992 0.016129032 0.013111343 0.009989594 0.014255984 0.011030177 0.009781478 0.009781478 0.009469302 0.0117585845 0.010718002 0.0108220605 0.011238294 0.010718002 0.010613943 0.010613943 0.0073881373 0.008949012 0.010509886 0.009781478 0.00905307 0.009261186 0.014047867 0.009885536 0.011654527 0.009261186 0.01144641 0.008324662 0.009469302 0.010613943 0.010405827 0.00842872 0.011238294 0.011550468 0.0136316335 0.013423517 0.008844953 0.009469302 0.008532778 0.0087408945 0.009157128 0.0087408945 0.01144641 0.0087408945 0.008012487 0.0108220605 6.5573897 0.0 0.0 0.0 7.0 378976.0 393216.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1521512400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 268800.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268800.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.989669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9957504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.985311 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.888869 0.0 7.989702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16738.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47358.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268619.0 0.0 18236.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 317044.0 18236.0 352256.0 0.0 0.0 13768.0 365208.0 11692.0 372736.0 28.0 275408.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 301800.0 0.0 0.0 832.0 274432.0 0.0 0.0 0.0 0.0


Input: 0.055582963 0.0060891546 0.0042610564 0.0047577852 0.0046969615 0.003531169 0.0038859753 0.00458883 0.006359483 0.003936662 0.0036156466 0.0034331747 0.004622621 0.0036494378 0.0035615808 0.004896329 0.004720615 0.003531169 0.0030749892 0.0035277898 0.0037643274 0.003845426 0.003287873 0.003348697 0.0035413061 0.0029195503 0.0031391922 0.003473724 0.0038048767 0.0036798497 0.0033892463 0.0035142733 0.004903087 0.0028080395 0.0027742486 0.0035176524 0.004156304 0.003037819 0.0031391922 0.0031560878 0.003227049 0.0030547145 0.002946583 0.003345318 0.003105401 0.003470345 0.0031696043 0.0032338074 0.0034264165 0.0029229294 0.0029026547 0.005589046 0.0033588344 0.003352076 0.0033351807 0.0034500703 0.003166225 0.0034433121 0.0033689716 0.0042813313 0.003598751 0.0037744648 0.003345318 0.0034906196 0.0061060498 0.0054065743 0.0033892463 0.0033047686 0.0036122676 0.0051632784 0.0040312773 0.003787981 0.003473724 0.0034230375 0.002885759 0.0030513355 0.0033622135 0.0046057254 0.0034939987 0.0034568284 0.00474089 0.0032473237 0.0031459504 0.0040414142 0.0032642193 0.003720399 0.004004244 0.0039299037 0.0031155385 0.004186716 0.0032574611 0.0032608402 0.0032000162 0.0038352888 0.0037541902 0.0035717182 0.003406142 0.003842047 0.0029634787 0.0037643274 0.0035413061 0.0047273734 0.0044874568 0.0034129 0.004054931 0.0039501786 0.0040380354 0.003102022 0.003662954 0.0035210315 0.0041664415 0.004257677 0.003625784 0.0033047686 0.0043320176 0.0039670737 0.006538576 0.005893166 0.0034602077 0.004163062 0.0037001243 0.0035548226 0.003193258 0.0031121594 0.0034602077 0.0038048767 0.003720399 0.00360213 0.00443677 0.0032033953 0.0032811149 0.0060486053 0.003477103 0.004433391 0.0032000162 0.0033250432 0.0038285304 0.005362646 0.003537927 0.008623486 0.0029364456 0.004443528 0.003314906 0.0033554551 0.0032439446 0.0028114186 0.0028283142 0.0030716101 0.0028688635 0.002912792 0.003227049 0.0032101534 0.003227049 0.0038352888 0.002879001 0.0032371865 0.0032101534 0.0030580936 0.0032202909 0.0033318014 0.0033723507 0.003409521 0.0028925173 0.003345318 0.0031222966 0.0030310608 0.0029094128 0.0031493297 0.0033723507 0.0032000162 0.0030479564 0.002976995 0.0032067744 0.0029263084 0.0031087804 0.0032777358 0.003848805 0.0033554551 0.0031121594 0.0033250432 0.0032101534 0.003416279 0.0035480645 0.003473724 0.0037305364 0.003166225 0.003166225 0.0032202909 0.003345318 0.003159467 0.0032608402 0.0035615808 0.004835505 0.003848805 0.0033419388 0.004406358 0.003537927 0.003379109 0.0036325422 0.004027898 0.0035514436 0.0035007568 0.0028756217 0.0032811149 0.0046260003 0.0030952638 0.0030175443 0.003406142 0.0033115267 0.0035784764 0.0033588344 0.003470345 0.003284494 0.0030783683 0.0034297956 0.0032743567 0.0034196584 0.0032000162 0.003284494 0.0032439446 0.0035480645 0.003284494 0.0034500703 0.0033926254 0.004379325 0.003230428 0.0032000162 0.0032811149 0.0035582017 0.0033385598 0.0041664415 0.0045178686 0.006008056 0.003406142 0.0032202909 0.0045753135 0.003656196 0.0030817473 0.0033216642 0.003662954 0.00402114 0.00356496 0.00322367 0.0036190257 0.0038386679 0.0031155385 0.0036122676 0.0039839693 0.0047915764 0.0035717182 0.0037372946 0.003994107 0.0049706693 0.0037068825 0.0044469074 0.014949178 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005533854 0.00015597873 0.00012037489 2.2040473e-05 0.00028652616 0.000100029836 8.307563e-05 0.00010172526 8.816189e-05 6.1035156e-05 4.916721e-05 3.2213e-05 3.8994684e-05 3.729926e-05 0.00014241536 9.1552734e-05 0.005177816 0.00035773384 9.1552734e-05 7.798937e-05 0.00028483072 0.00010681152 8.477105e-05 0.000100029836 9.833442e-05 7.798937e-05 7.459852e-05 4.4080945e-05 6.4426e-05 5.5948894e-05 0.00016276042 8.477105e-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 0.001976861 9.6639e-05 9.3248156e-05 1.695421e-06 0.0002017551 0.00013054741 0.000600179 0.0003390842 5.086263e-06 5.086263e-06 1.695421e-06 1.0172526e-05 1.695421e-06 3.390842e-06 1.695421e-06 3.390842e-06 0.009735107 0.0007544623 0.0010681152 0.0004102919 0.0008036296 0.00055270724 0.0038706462 0.001900567 0.00033230253 0.00016784668 0.00018480088 0.00018649631 0.00018141005 0.00017971463 0.0001542833 0.00035095215 0.006951226 0.00028483072 0.00027804903 0.00033399794 0.00055270724 0.00033738877 0.00085110136 0.0008205838 0.0005662706 0.000257704 0.00011189779 0.00039842393 0.00032043457 0.0002102322 0.0016530355 0.0034332275 0.004050361 0.00021362305 0.0001373291 0.00037638345 0.00050354004 0.00040859648 0.0012783475 0.00081210665 0.00055270724 0.00024244521 7.968479e-05 0.00014071995 0.00039842393 7.968479e-05 0.00023905437 0.0009036594 0.0055999756 0.00081041123 0.00035773384 0.00065782334 0.0001542833 0.0002593994 0.0008782281 0.00073072646 0.0007578532 0.00069173175 0.00022549099 0.00050693087 0.00088161894 0.0002746582 0.0019378662 0.0026363796 0.01117452 0.0017123752 0.0015157064 0.0016835531 0.0046437583 0.0020684137 0.0015055338 0.0025075276 0.005884806 0.00065951876 0.00045098198 0.00074598525 0.0028415257 0.0013003879 0.0021616619 0.0042826333 0.020126343 0.004365709 0.0030941432 0.004687839 0.008371989 0.0072852243 0.004330105 0.0065460205 0.011633979 0.0012257894 0.0014478895 0.002738105 0.0060356986 0.0024329291 0.0053337943 0.011038886 0.04940457 0.04796007 0.046401978 0.048712835 0.04662238 0.047092013 0.047470093 0.049684312 0.04710727 0.046942815 0.04789056 0.04925876 0.047743056 0.049221464 0.048943415 0.05037774 1379.0 8.237128 11359.0 0.0328374 0.0046659037 0.0059864423 0.007571089 0.0068668015 0.0052821552 0.005546263 0.0057223346 0.0058984067 0.005194119 0.0061625144 0.00475394 0.0059864423 0.009067699 0.00862752 0.0069548376 0.007923232 0.0070428737 0.0059864423 0.0059864423 0.0059864423 0.0049300115 0.007395017 0.008715556 0.0058103707 0.006602694 0.0057223346 0.0059864423 0.006778766 0.006338586 0.0058984067 0.00475394 0.0061625144 0.014173783 0.0058103707 0.010036095 0.012589136 0.007923232 0.009243771 0.012589136 0.0060744784 0.010212166 0.0058103707 0.0061625144 0.008363413 0.008011268 0.009683951 0.0073069814 0.014085747 0.0059864423 0.00950788 0.0154943215 0.008011268 0.0065146578 0.010740382 0.012413065 0.0070428737 0.0071309092 0.006602694 0.0058103707 0.0071309092 0.008011268 0.006426622 0.0073069814 0.00669073 0.025970597 0.007835196 0.019543974 0.016550753 0.04525046 0.009419844 0.010036095 0.011884849 0.028875781 0.00669073 0.0080993045 0.020512369 0.012853244 0.030284356 0.028787745 0.0130293155 0.0065146578 0.030020248 0.020160226 0.038119555 0.015846465 0.010036095 0.012413065 0.008715556 0.010652347 0.006778766 0.0057223346 0.00669073 0.0052821552 0.0050180475 0.008363413 6.3012295 0.0 0.0 0.0 6.0 295936.0 319488.0 1.0 0.0 125.0 0.0 1.0 0.0 0.0 0.0 1176055700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 38912.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38912.0 0.0 231936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.8796206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4095314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7046986 0.0 7.96477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18628.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38892.0 0.0 231708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -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 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 62476.0 231708.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 45616.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 61576.0 0.0 0.0 512.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.013433041 0.00444224 0.0041083107 0.0041083107 0.00410573 0.0039591524 0.004057215 0.0038275418 0.0042621144 0.0039730873 0.0038647023 0.0038125743 0.003975668 0.0039287014 0.0038228966 0.004083021 0.0038729603 0.0038249611 0.0037067698 0.003944701 0.0038641864 0.00405257 0.0037398015 0.0038693475 0.0038125743 0.0037434143 0.0037511562 0.0036690931 0.0037945102 0.0038487026 0.0038136065 0.0038234128 0.0042662434 0.0037238018 0.0038837988 0.0037403177 0.0038301223 0.0038951535 0.0037748977 0.0038574766 0.0037630268 0.0037181245 0.0038337351 0.0039183786 0.0038146388 0.003802252 0.00398341 0.0039116694 0.004156826 0.003863154 0.0038198 0.003962765 0.003793994 0.0037800588 0.0037656075 0.0037103826 0.0037976068 0.003746511 0.0038528317 0.0038471543 0.0038301223 0.0038275418 0.0037738653 0.0037098667 0.004251792 0.00392354 0.0036763188 0.003871928 0.003850251 0.00444224 0.003837348 0.0037816071 0.0037826393 0.0037284468 0.0036494806 0.003802768 0.0037490916 0.004271921 0.003759414 0.0038249611 0.0040324414 0.0040117963 0.0039699906 0.0038357996 0.0038677992 0.00434779 0.0037258663 0.0038610895 0.0038492188 0.0037439305 0.003745995 0.0036887056 0.003724318 0.0037707686 0.0037325758 0.0037408336 0.0038316709 0.0039963126 0.0038548962 0.0039400556 0.0039699906 0.0042894688 0.0039080563 0.0038487026 0.004091795 0.004139794 0.004031925 0.0037537366 0.0039813453 0.003811026 0.0040123127 0.0041418583 0.0039596683 0.003608707 0.0039477977 0.0039859903 0.004312694 0.0040288283 0.0037908973 0.0037872845 0.0038781215 0.004048957 0.0037516723 0.0037263823 0.0038378641 0.0038517993 0.0038053486 0.003767672 0.003971539 0.0037841878 0.0038115422 0.004264695 0.0038043165 0.0041733417 0.0037945102 0.003754769 0.0037748977 0.0043575964 0.0037186407 0.005225709 0.0039096046 0.004044312 0.0038089615 0.0038337351 0.0037702525 0.00371606 0.0038038003 0.0037129633 0.003780575 0.003910121 0.0037423822 0.0037423822 0.0037754136 0.0037965747 0.0037671558 0.0037867683 0.0037387693 0.0036236746 0.0037403177 0.0037903811 0.0037790264 0.0038610895 0.0037960585 0.003832703 0.0037150278 0.0037759298 0.0038332192 0.0037774781 0.003806897 0.0037026408 0.0036995441 0.0036928346 0.0038017358 0.0037320596 0.0038791536 0.0037847038 0.0037785105 0.0038781215 0.0037279308 0.0038084453 0.0038533479 0.0037434143 0.003793478 0.0038430253 0.0037996713 0.003642255 0.0037790264 0.003724834 0.0037604463 0.0037712848 0.0037268985 0.0038161871 0.0038858633 0.0037960585 0.0038301223 0.0038012196 0.0037743815 0.0037826393 0.0036298682 0.0039607007 0.0037903811 0.0038363158 0.0037779943 0.0036262553 0.004135149 0.0037372208 0.0037878007 0.003694383 0.003841477 0.0037898652 0.003944701 0.00371606 0.0037857362 0.0038337351 0.0037991551 0.0037800588 0.0037748977 0.0038208321 0.0037021248 0.0037263823 0.003754769 0.0038440577 0.0037253501 0.0038564445 0.0038038003 0.0037707686 0.0038559283 0.0037578656 0.0038203162 0.0038626378 0.0037367048 0.0037563173 0.004308049 0.0039003147 0.0037170923 0.003876057 0.0038770894 0.0037382531 0.0037748977 0.0037878007 0.003927669 0.0037872845 0.003772317 0.0038569607 0.003845606 0.0037583818 0.0037831555 0.0038745087 0.003918895 0.003811026 0.0038956695 0.0037434143 0.0039901193 0.0039828937 0.0038729603 0.00674981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015846547 1.3685302e-05 7.281613e-05 3.4600576e-05 4.4929104e-05 5.3966567e-05 7.6947545e-05 4.931873e-05 4.3379827e-05 5.938905e-06 4.6478385e-06 3.3567721e-06 1.187781e-05 1.0070316e-05 1.032853e-05 9.476426e-05 0.0017212495 1.3943515e-05 0.00024607722 4.0023053e-05 6.377867e-05 3.4084147e-05 0.0006721291 0.00029952737 1.5234582e-05 1.2910663e-06 2.5821325e-06 1.2910663e-06 3.0985589e-06 1.8074927e-06 2.5821325e-06 5.4224784e-05 0.0008900611 5.938905e-06 0.00012394236 3.3825934e-05 5.345014e-05 4.208876e-05 0.00023884725 0.00014046801 1.3943515e-05 1.5492794e-06 1.8074927e-06 1.8074927e-06 2.8403458e-06 1.8074927e-06 2.8403458e-06 3.1243802e-05 0.0007508841 3.6149854e-06 6.0938328e-05 2.9694524e-05 0.00021509164 0.00015286224 0.0005683274 0.0002907481 3.6149854e-06 3.8731987e-06 4.3896252e-06 4.6478385e-06 3.8731987e-06 5.938905e-06 4.131412e-06 1.2652449e-05 0.0007821279 4.4154465e-05 3.8473772e-05 3.5117002e-05 5.6806915e-05 4.983516e-05 0.00012316772 6.687723e-05 3.4600576e-05 9.812104e-06 1.7042074e-05 1.0586743e-05 2.2464552e-05 9.605533e-05 6.42951e-05 0.00013504553 0.0007720576 5.8356192e-05 8.8825356e-05 7.746398e-05 0.00013091412 9.786282e-05 0.00020243919 0.0001285902 6.687723e-05 3.7699134e-05 2.298098e-05 1.4459942e-05 2.7112392e-05 4.931873e-05 4.931873e-05 0.00029100632 0.00044541786 4.9576942e-05 0.0001014778 7.823861e-05 5.964726e-05 5.474121e-05 0.00011361383 9.3473194e-05 0.00011051527 2.8145243e-05 1.1619596e-05 1.8074927e-05 2.7112392e-05 2.4530258e-05 5.9389047e-05 0.00031088875 0.0037102662 0.0006390778 0.00023833083 0.00029513775 0.0013783423 0.0011048944 0.00064811524 0.0007720576 0.002871073 0.00030701555 0.00021276771 0.00034755503 0.00097552966 0.0005228818 0.0010114213 0.0029454385 0.0023737543 0.0006137729 0.0006687723 0.0008229256 0.0007377152 0.00070208183 0.0011203872 0.000814921 0.0009861164 0.00024272045 0.00032818902 0.00026466858 0.00046245992 0.00032663977 0.00043922072 0.0007297106 0.060527768 0.059702776 0.060080025 0.05979289 0.059474517 0.059370197 0.059831366 0.05944663 0.05990573 0.05956463 0.059886623 0.05979909 0.05933224 0.05967902 0.05972395 0.059990425 9105.0 6.2 56451.0 0.013657862 0.008857239 0.009920108 0.008963526 0.009300101 0.008857239 0.008892668 0.008892668 0.008113231 0.009016669 0.009902393 0.009105242 0.008609236 0.009300101 0.012205276 0.010823546 0.015216737 0.012152132 0.0109121185 0.01154984 0.009548103 0.009211529 0.009193814 0.009831536 0.010805831 0.009725248 0.009831536 0.009353245 0.010079538 0.008910382 0.008502949 0.008556093 0.009778392 0.009760678 0.009122957 0.010575543 0.01036297 0.009300101 0.010345255 0.010646401 0.009317815 0.009300101 0.008910382 0.008325805 0.009459531 0.010132682 0.009034384 0.010469257 0.009512675 0.00933553 0.009087527 0.01151441 0.010061824 0.009459531 0.010203539 0.010628687 0.009388673 0.008963526 0.008945812 0.00933553 0.008556093 0.008520664 0.009353245 0.009353245 0.00898124 0.014472729 0.009796106 0.013657862 0.011408124 0.018777346 0.009565818 0.011638412 0.011425838 0.01709447 0.009087527 0.009955537 0.01424244 0.012045845 0.015376167 0.014809304 0.011585268 0.008839524 0.014455014 0.01495102 0.016917327 0.010628687 0.010770403 0.011106978 0.010380684 0.010451542 0.008697809 0.00914067 0.0092469575 0.008750952 0.008750952 0.008130945 6.5577626 0.0 41.0 0.0 27.0 1937536.0 3895296.0 1.0 0.0 173.0 0.0 1.0 1.0 0.0 0.0 1492587400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 45568.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 10240.0 0.0 0.0 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 5.246465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5725546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1428027 0.0 4.308449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 5275.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3735964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45449.0 0.0 10048.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 54484.0 10048.0 3883008.0 0.0 0.0 15520.0 1922016.0 0.0 0.0 28.0 53984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 724.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.25217533 0.04469966 0.034127057 0.014584113 0.018256456 0.0063856663 0.024513474 0.0074733347 0.00766046 0.003122661 0.021414204 0.0046430575 0.0043155877 0.0037659057 0.006514315 0.0034033495 0.005145958 0.010677863 0.016385198 0.0059295474 0.0037892964 0.00798793 0.006210236 0.004011508 0.0047950973 0.0021636414 0.0023507671 0.0029238397 0.002409244 0.0038711638 0.0031811376 0.0030641842 0.007169255 0.002502807 0.0020934693 0.0010174962 0.002374158 0.006713136 0.0053213886 0.0014034432 0.01544957 0.002537893 0.010443956 0.005017309 0.0047366205 0.0046430575 0.0066546593 0.002151946 0.005005614 0.0018829529 0.0017543039 0.0016490456 0.0028887538 0.0012981849 0.0010876685 0.0007952844 0.0014619199 0.0014268338 0.0015437874 0.0010642777 0.0023156812 0.001625655 0.0020934693 0.000748503 0.001040887 0.002994012 0.0015320921 0.003613866 0.0016373503 0.0020466878 0.0014619199 0.0012630988 0.0028185816 0.0020232971 0.00067833083 0.00066663546 0.0013098803 0.0020232971 0.001368357 0.0008888473 0.0022922903 0.001953125 0.0019180389 0.003122661 0.0023273765 0.00087715196 0.0019648203 0.0008303705 0.0011812312 0.0008303705 0.0008537612 0.0004912051 0.00087715196 0.001040887 0.000619854 0.0056371633 0.0010993638 0.011017028 0.0022338135 0.005262912 0.006058196 0.023320546 0.0023624625 0.0043740645 0.0021636414 0.0096720625 0.00067833083 0.0021285554 0.007028911 0.004947137 0.011274327 0.020291448 0.0068183946 0.0019882112 0.0135783125 0.014034431 0.017683383 0.0052863024 0.0016373503 0.0046781437 0.0014502245 0.0038477732 0.0015905688 0.0067950035 0.0014385292 0.005508514 0.0016724364 0.00056137727 0.007754023 0.0046079718 0.00081867515 0.00081867515 0.0006081587 0.00056137727 0.0029823165 0.0003508608 0.0005145958 0.001075973 0.0005145958 0.0003742515 0.000748503 0.0015788735 0.0007251123 0.0003508608 0.0007017216 0.0011461452 0.00064324477 0.00065494014 0.0005145958 0.00046781436 0.0014151385 0.00066663546 0.00067833083 0.00058476796 0.0007251123 0.00064324477 0.000748503 0.00065494014 0.00022221182 0.00030407935 0.00097071484 0.00056137727 0.0011344498 0.00040933758 0.000619854 0.0007835891 0.0003157747 0.00056137727 0.00033916542 0.0003742515 0.0006315494 0.00066663546 0.0006315494 0.00021051646 0.00067833083 0.00032747007 0.0009824102 0.00044442364 0.00044442364 0.0009941056 0.00066663546 0.00030407935 0.00040933758 0.00030407935 0.00033916542 0.0003976422 0.00047950973 0.00052629114 0.00073680765 0.00067833083 0.00076019834 0.000456119 0.000748503 0.0013800524 0.00029238398 0.0003157747 0.001040887 0.00042103292 0.0012630988 0.0006081587 0.001204622 0.0005379865 0.00026899326 0.00023390718 0.00058476796 0.00024560254 0.00064324477 0.0007718937 0.0017659992 0.00097071484 0.0008069798 0.00023390718 0.00065494014 0.0008537612 0.00038594686 0.00056137727 0.00056137727 0.0002572979 0.0005496819 0.00021051646 0.00087715196 0.0004912051 0.0009356287 0.00033916542 0.0009824102 0.0010642777 0.0003508608 0.00040933758 0.0005730726 0.0004327283 0.0006315494 0.00016373504 0.0007835891 0.00036255614 0.00042103292 0.0004327283 0.000619854 0.00040933758 0.00052629114 0.00040933758 0.00021051646 0.00028068863 0.00032747007 0.00016373504 0.0006900262 0.0003742515 0.0001988211 0.00032747007 0.00042103292 0.0005496819 0.00038594686 0.0003508608 0.0005145958 0.0003976422 0.0022688997 0.0021636414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04517197 0.0030070979 0.0045076697 0.0026379097 0.009182069 0.008140006 0.05552115 0.027891578 0.00017268483 0.00023223132 0.00026795923 0.00036323362 0.0004108708 0.0003989615 0.00016673018 0.00046446265 0.05649176 0.0062702456 0.008818836 0.003668064 0.0053055924 0.0042754384 0.028129764 0.018542778 0.00059546495 0.0002560499 0.0003989615 0.00021436738 0.00013695694 0.00046446265 0.00010122904 0.00047637196 0.18338534 0.031845465 0.03536466 0.008151915 0.0032452838 0.0052341367 0.011480564 0.021013958 0.005978468 0.0030011432 0.0030190072 0.0031023724 0.0029654154 0.004602944 0.0034775152 0.0034001048 0.07537991 0.021287872 0.014041063 0.0059725135 0.003275057 0.0028165493 0.006806164 0.0071396246 0.0070026675 0.0019114425 0.0024533155 0.0020662632 0.0025962272 0.0018935786 0.001714939 0.0021794017 0.06896675 0.016458651 0.01138529 0.005400867 0.004811357 0.0044243047 0.008306736 0.010367044 0.008592559 0.00425162 0.0024592702 0.0022270388 0.0037037919 0.0024235423 0.0026260004 0.0021317645 0.02079959 0.0074314023 0.007014577 0.003144055 0.0017804402 0.0022984946 0.0048411298 0.004596989 0.0024056784 0.0013040683 0.00075624045 0.0010777916 0.00091106136 0.00085151487 0.0006311928 0.0011313834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 783.0 17.091953 13383.0 0.004408578 0.00037360832 0.0 0.00029888665 0.0 7.472166e-05 0.0 0.0 7.472166e-05 7.472166e-05 0.0 0.00067249493 0.002914145 0.00014944332 0.012627961 0.0 0.010610476 0.006351341 0.0038855264 0.0035866399 0.0037360832 0.0035866399 0.0020922066 0.0025405365 0.0017185982 0.0032130315 0.0 0.0 0.007771053 0.00224165 0.007696331 7.472166e-05 7.472166e-05 0.0110588055 0.005753568 0.01658821 0.0041844132 0.0054546813 0.0055294028 0.0038108048 0.0089666 0.0069491146 0.0 0.0018680416 0.0018680416 0.0050063515 0.0049316296 0.00224165 0.006351341 0.0005977733 0.0067249495 0.016364044 0.009116042 0.0015691549 0.006500785 0.0023163715 0.0 0.0 0.0 7.472166e-05 0.0 7.472166e-05 0.0 0.032130316 0.0017933199 0.05536875 0.009639095 0.025405364 0.028020624 0.12448629 0.008891878 0.022341777 0.007995218 0.04670104 0.00029888665 0.010535754 0.033998355 0.019577075 0.054472093 0.046476875 0.016065158 0.0023163715 0.0475977 0.04490772 0.092804305 0.025480086 0.0035866399 0.0017185982 0.0049316296 0.016438765 0.0012702682 0.0 0.0 0.0 0.0 0.0 5.076712 0.0 0.0 0.0 2.0 85504.0 114688.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3964535800.0 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 48.0 0.0 4.0 0.0 4.0 0.0 82944.0 512.0 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 -82944.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.991507 0.0 3.2793717 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 -82820.0 0.0 1048.0 0.0 0.0 0.0 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 75.0 90928.0 1048.0 98304.0 0.0 0.0 0.0 0.0 12.0 106496.0 56.0 90828.0 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: 0.032913864 0.0053968774 0.005023818 0.004344575 0.0049972283 0.003855488 0.0038256755 0.003799086 0.0057763834 0.0034816226 0.0034397237 0.003616182 0.004531508 0.003575089 0.0033236966 0.006209068 0.004666873 0.0034606731 0.00345181 0.0032552083 0.0038796605 0.0037668562 0.0034880685 0.0033261138 0.0036621094 0.003309999 0.003297913 0.0033817103 0.0037402667 0.003777331 0.003385739 0.0035323845 0.004334906 0.0031641591 0.003508212 0.00344617 0.0039239763 0.003426026 0.003196389 0.0031810799 0.0035162696 0.0033164448 0.0032415106 0.0037507412 0.0034397237 0.0034123284 0.0036621094 0.003442141 0.0050512133 0.0032664887 0.0033752644 0.0051293704 0.0034131343 0.0033430345 0.003322891 0.0035484994 0.0035098237 0.003631491 0.0033704299 0.004080291 0.0038691857 0.0035396363 0.0035380246 0.0034493927 0.0037531585 0.0039900476 0.004766785 0.0037757193 0.004543594 0.0055709183 0.0042938134 0.0037056196 0.0036548576 0.0033575378 0.0034888743 0.003471148 0.0035517223 0.004174563 0.0035541395 0.0038135895 0.005056048 0.0038345386 0.0036274623 0.004205987 0.003675807 0.003880466 0.0043357117 0.004158448 0.0034147457 0.004080291 0.0033293369 0.0036451886 0.0040722336 0.003779748 0.003896581 0.0038313158 0.003278575 0.0035646143 0.003334977 0.003927199 0.003625045 0.0047337497 0.0049940054 0.0036870874 0.0038603225 0.0036363255 0.004309928 0.003247151 0.0042768926 0.0035501109 0.0037563816 0.0037652447 0.0037160942 0.003471148 0.004278504 0.0042196847 0.0061196303 0.0060318043 0.0035484994 0.0034937088 0.0035613913 0.0034735652 0.0033551208 0.0033172506 0.0036830588 0.0040601473 0.0038989983 0.003612959 0.004177786 0.0036395486 0.0034542272 0.0061188247 0.0038885237 0.005143068 0.0035396363 0.0033422287 0.0038595167 0.00560476 0.0036427714 0.00898647 0.0033220851 0.0056611616 0.0033365886 0.0035154638 0.0034002424 0.003385739 0.0033261138 0.0033059702 0.0034332778 0.0034179688 0.0032906611 0.0032608486 0.0032544027 0.0033897676 0.0032108924 0.0032842152 0.0032640714 0.0032987185 0.0034542272 0.003571866 0.0033365886 0.0035573626 0.0034783997 0.0034824284 0.0032826036 0.003455033 0.003234259 0.0033236966 0.0032866325 0.0032995243 0.0032205614 0.0032544027 0.0032439278 0.0033027472 0.0032503738 0.0034389182 0.0034534214 0.0032954956 0.0033406173 0.0033108047 0.003318862 0.0033075816 0.0038941638 0.0034816226 0.0035775062 0.0033841275 0.0032592372 0.0033672068 0.003486457 0.0034526158 0.0034477813 0.0035066006 0.0050745797 0.0040883482 0.0038119778 0.0041286354 0.0036355199 0.003334977 0.0038264813 0.0038232582 0.0037056196 0.0038514594 0.0034252205 0.0034292492 0.0037048138 0.003322891 0.0035565568 0.0034880685 0.0035331903 0.003517881 0.0035009605 0.0034638962 0.0033462574 0.0033567322 0.003363984 0.0032648772 0.0035348018 0.0033261138 0.0032664887 0.0034751766 0.0033051644 0.0032431222 0.0033180565 0.0033905734 0.0038200354 0.0033502863 0.0032382878 0.0033873504 0.0034695363 0.0033809044 0.0034477813 0.0034969316 0.0064701294 0.003931228 0.0033897676 0.004288979 0.0039320337 0.003196389 0.0034018538 0.0036886989 0.004042421 0.0036290737 0.0036669439 0.0036202106 0.0037523527 0.0033309483 0.0038659628 0.0037370436 0.0044638254 0.0036846702 0.0034856512 0.003774108 0.004280921 0.0036040957 0.0040738448 0.012997467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00070480234 2.4192299e-05 1.41121745e-05 2.41923e-06 2.016025e-05 6.45128e-06 1.290256e-05 1.0886535e-05 2.016025e-06 2.41923e-06 3.628845e-06 1.1692945e-05 1.209615e-06 1.209615e-06 2.41923e-06 5.241665e-06 0.0006709331 2.7821145e-05 2.4192299e-05 2.016025e-06 2.5401914e-05 1.128974e-05 1.290256e-05 1.2499355e-05 4.03205e-06 1.209615e-06 5.64487e-06 1.0080125e-05 2.41923e-06 4.83846e-06 3.22564e-06 7.25769e-06 0.00062577415 1.290256e-05 1.935384e-05 3.628845e-06 4.919101e-05 1.41121745e-05 1.128974e-05 1.3305765e-05 6.854485e-06 3.22564e-06 9.273715e-06 2.822435e-06 2.177307e-05 4.435255e-06 2.822435e-06 2.499871e-05 0.0016091912 6.289998e-05 3.790127e-05 8.3463434e-05 0.00016208841 4.193332e-05 1.048333e-05 9.273715e-06 2.257948e-05 7.660895e-05 1.1692945e-05 1.0080125e-05 1.854743e-05 4.8787806e-05 2.499871e-05 0.00024676145 0.0009757561 2.499871e-05 1.451538e-05 1.4918585e-05 8.709228e-05 2.9433964e-05 9.596279e-05 5.080383e-05 1.3305765e-05 9.67692e-06 2.338589e-05 8.87051e-06 1.693461e-05 3.386922e-05 5.9271133e-05 0.00019273198 0.0029087209 0.00031127426 0.00012257432 0.00036167487 0.00059351773 0.0003314345 0.0008551978 0.0005745671 6.814164e-05 5.564229e-05 5.241665e-05 4.677178e-05 6.854485e-05 5.2013445e-05 9.6769196e-05 0.00010684932 0.0036401348 0.000121364705 0.0004350582 0.00021531146 0.0005810184 0.0003544172 0.001711202 0.00092495227 0.00017095891 0.00012660636 8.0641e-05 0.000102414066 0.00014192816 7.015767e-05 0.00020805378 0.00019918327 0.0023595556 0.000110881374 0.00033828898 0.00019273198 0.00025482554 0.00020402172 0.0007745568 0.0005100543 0.00021853711 7.459292e-05 6.814164e-05 0.00010644612 0.00011451022 8.1850616e-05 0.000177007 0.00019434482 0.0019115949 0.00018103904 0.00033506335 0.00022297236 0.00035119156 0.00029837168 0.0010769606 0.00039756013 0.00059513055 0.00010725253 7.9834586e-05 0.00010402689 0.00025361593 0.00024797107 0.000371755 0.0008975343 0.015528231 0.002132148 0.0016019335 0.0020232827 0.00418809 0.003904234 0.0017902302 0.0035018353 0.009900295 0.0009580151 0.0006777876 0.0015664514 0.0035566713 0.0014333938 0.0038300443 0.0069911713 0.013445274 0.0028300958 0.0016216905 0.002580512 0.00487999 0.0051977155 0.0022317397 0.004111078 0.008700761 0.0007427036 0.001209615 0.0013503336 0.0042292173 0.0014261361 0.004004229 0.00832578 0.05346458 0.051554598 0.051403396 0.05375408 0.05228077 0.05245455 0.052978314 0.053743195 0.05156629 0.051411863 0.051238485 0.05157879 0.051807407 0.050808668 0.05113204 0.05284445 6039.0 8.087101 48838.0 0.016298784 0.0054670544 0.0077398745 0.006347516 0.006204185 0.0058356198 0.0055489577 0.0066137025 0.00667513 0.0063270405 0.006224661 0.006388468 0.006490847 0.007227978 0.01537737 0.006777509 0.04762685 0.008517957 0.008251771 0.0077603506 0.0068798885 0.007125599 0.0082927225 0.006531799 0.007432737 0.006818461 0.006797985 0.0060403785 0.007821778 0.007125599 0.007289406 0.0060403785 0.006941316 0.010606495 0.0076170196 0.009255088 0.010749826 0.009459847 0.015561652 0.009173185 0.007576068 0.008477005 0.0063270405 0.006695606 0.00786273 0.008436054 0.0073917853 0.014742618 0.010156026 0.0069003645 0.014640239 0.011302674 0.008804619 0.006347516 0.009357467 0.010074123 0.0074532125 0.007064171 0.007064171 0.007125599 0.021581555 0.006388468 0.006204185 0.0068798885 0.0069003645 0.01443548 0.007944633 0.025574347 0.010688398 0.03634465 0.016032597 0.015807362 0.008558909 0.016114501 0.00726893 0.006122282 0.027826693 0.009971743 0.014066915 0.016094025 0.010606495 0.01429215 0.022072976 0.028154306 0.026577665 0.017711619 0.0071665505 0.0077603506 0.007084647 0.009582702 0.006245137 0.006572751 0.006142758 0.005528482 0.006245137 0.006388468 6.356456 0.0 1.0 0.0 19.0 1241088.0 348160.0 1.0 0.0 215.0 0.0 1.0 0.0 0.0 0.0 1417514900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 165376.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165376.0 0.0 13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3946133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4665353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.724808 0.0 5.4907846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20435.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165274.0 0.0 13460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -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 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 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 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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192416.0 220.0 187260.0 13460.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173040.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183312.0 0.0 0.0 900.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.009378857 0.008118709 0.006653352 0.007578232 0.00779211 0.0058672046 0.006477047 0.005546387 0.007945294 0.0051706545 0.0051446427 0.005511704 0.007497305 0.0048931907 0.005037703 0.0053036064 0.0077111833 0.0045145685 0.004485666 0.0046128365 0.0061995834 0.0042573363 0.0045174584 0.0044480925 0.0068759015 0.00395386 0.0039480794 0.00430358 0.005780497 0.003661945 0.0040607993 0.004974118 0.0078152325 0.004974118 0.0034162737 0.004462544 0.0054278867 0.004095482 0.0034798593 0.003939409 0.004979898 0.0038151282 0.0031012367 0.004381617 0.0051215207 0.004081031 0.003893165 0.0038613721 0.006231376 0.0040868116 0.0043295925 0.004407629 0.0052024475 0.0035752375 0.0036417132 0.0037399817 0.0056995703 0.0040029944 0.0030954562 0.004685093 0.004676422 0.0033180055 0.003208176 0.004326702 0.0065435227 0.0055868505 0.0046099466 0.005176435 0.0044249706 0.004237104 0.004789142 0.004083921 0.005627314 0.0042486656 0.0033729202 0.0038180184 0.004705325 0.0042631165 0.004112824 0.004083921 0.0059134485 0.0045087878 0.0042746775 0.0050983983 0.0037486525 0.0042457753 0.0051677646 0.005023252 0.0045983857 0.0030058585 0.0028295533 0.0037948964 0.0039827623 0.003430725 0.0032457493 0.004456763 0.0051562036 0.0043122508 0.0031734928 0.0034451764 0.004641739 0.0032052856 0.0032804322 0.003000078 0.00639612 0.004057909 0.003881604 0.0031763832 0.0038787136 0.003430725 0.0029480536 0.0033700299 0.00487874 0.0032284076 0.003465408 0.0032833223 0.0061706807 0.005572399 0.0032255175 0.0036330426 0.0039625308 0.0031879442 0.002242833 0.0029856267 0.0038295793 0.003627262 0.0035405545 0.00476602 0.005430777 0.0053382893 0.0035521155 0.0050839474 0.0044654342 0.0042342143 0.0037110792 0.0035983594 0.0043642754 0.00557818 0.003581018 0.006005937 0.003893165 0.0048816297 0.0027197239 0.002881578 0.004930764 0.003361359 0.0031821637 0.0028555656 0.0027110532 0.002638797 0.002872907 0.0029018095 0.00290759 0.0029451633 0.002803541 0.0025405285 0.0030405414 0.00244226 0.0023584429 0.003349798 0.003439396 0.003592579 0.002335321 0.0028382242 0.0033960422 0.003185054 0.0029249315 0.002604114 0.0029740657 0.0028353338 0.0019480275 0.00244226 0.0029133705 0.002872907 0.0022283816 0.002338211 0.0040174457 0.0030838952 0.002315089 0.0023439915 0.0030492123 0.0026937118 0.0028122119 0.0027486265 0.0038151282 0.002361333 0.0021358938 0.002800651 0.0030318708 0.0024740528 0.002685041 0.0034104933 0.005211118 0.0050955084 0.0043469337 0.0043787267 0.0035087618 0.0029827366 0.0038266892 0.0035434447 0.0043527144 0.003115688 0.0023179795 0.0027861996 0.0025954433 0.002638797 0.0022139305 0.0028382242 0.0038873844 0.0030636636 0.0035896888 0.003326676 0.0028064314 0.0024596015 0.0029364927 0.002627236 0.003676396 0.0027486265 0.0027601875 0.0030232 0.002884468 0.0028757975 0.002965395 0.003315115 0.0046012755 0.0035896888 0.0027717485 0.002872907 0.0033671395 0.0022254915 0.0020578569 0.002465382 0.0030723342 0.002881578 0.0024046868 0.0049943496 0.0027515166 0.0026879313 0.0027428458 0.0031619319 0.0042977994 0.003196615 0.0026445775 0.0025723213 0.0027515166 0.0025260772 0.0030029684 0.0033787007 0.0036099204 0.002765968 0.0023324306 0.0028266632 0.0030983465 0.0025376382 0.0032284076 0.008815258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011073521 0.00013805571 0.0001613072 0.000113351 0.00012642996 0.00013805571 0.00017438616 0.00017147973 0.00014822824 5.812872e-05 3.3424014e-05 0.0001293364 0.00011480422 7.411412e-05 0.00012207031 0.00016566685 0.00087629043 0.00067429314 0.00093296595 0.0009736561 0.0009286063 0.00055948895 0.00084577285 0.001033238 0.00034150624 0.0002979097 0.00018891835 0.00024123419 0.00045631046 0.000386556 0.0007019043 0.002466111 0.10128639 0.07756406 0.06977917 0.06706165 0.07273065 0.0667899 0.060307093 0.060276575 0.068995886 0.047576904 0.04477074 0.045445032 0.055273145 0.04858253 0.04776582 0.050913494 2733.0 6.02854 16476.0 0.024641903 0.010439427 0.007040544 0.010560816 0.014263171 0.010318038 0.007950959 0.009832484 0.013474144 0.008436514 0.0071619325 0.008557903 0.014809419 0.012745813 0.009286234 0.011107065 0.013899005 0.013231367 0.013534838 0.009893178 0.014263171 0.009650401 0.0083151255 0.009346928 0.01565914 0.010682205 0.0073440154 0.009832484 0.011107065 0.0074047097 0.008679291 0.010378732 0.012503034 0.011107065 0.0101966495 0.013959699 0.010985676 0.010014567 0.013109978 0.009953872 0.013049284 0.011228453 0.008436514 0.007768876 0.010682205 0.010682205 0.009529012 0.010014567 0.014081088 0.010924982 0.0110463705 0.013959699 0.010378732 0.01062151 0.012563729 0.013716921 0.011107065 0.007222627 0.0060694343 0.008618597 0.009104151 0.0060694343 0.0066156834 0.010864288 0.010924982 0.013170673 0.008861374 0.009164846 0.0137776155 0.008922068 0.0077081816 0.0078902645 0.015719835 0.010257344 0.01062151 0.0074047097 0.011228453 0.009346928 0.0077081816 0.008982763 0.014141782 0.00600874 0.009346928 0.009771789 0.016266083 0.012927895 0.00782957 0.00922554 0.010924982 0.0063729063 0.004673464 0.009529012 0.0071012382 0.007283321 0.0064336006 0.010439427 6.5325527 0.0 1.0 0.0 4.0 345991.0 978944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1240668500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 401408.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -399872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.927604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -401408.0 0.0 0.0 0.0 0.0 0.0 569344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 308.0 974848.0 0.0 0.0 0.0 0.0 14328.0 401408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.17512026 0.007328235 0.0044478923 0.004909206 0.0046980577 0.0031396886 0.0023341107 0.0023524715 0.005519701 0.002242307 0.0022583725 0.0022675528 0.010353169 0.0021596835 0.0016754186 0.006272492 0.004599368 0.0016157462 0.0017075499 0.0015537787 0.002299684 0.0027219814 0.00182919 0.0016019756 0.0032062463 0.0015813197 0.0015537787 0.001806239 0.0020013219 0.0018773869 0.0017236156 0.0023019793 0.0048655993 0.0021275522 0.0025200131 0.0025980463 0.007454465 0.002565915 0.0026393582 0.0028137853 0.0042826454 0.0032498532 0.0035321496 0.004142645 0.003148869 0.0040967427 0.0029606712 0.0029032938 0.011615471 0.0028918185 0.0027724735 0.0053544543 0.0025223084 0.0021987 0.0020678798 0.0021046011 0.002882638 0.0026783748 0.0021964049 0.0037960855 0.0023800125 0.0024236194 0.002024273 0.0025705053 0.011057763 0.004982649 0.002464931 0.0071400376 0.005473799 0.006176098 0.0023524715 0.0021941098 0.014812537 0.0035528056 0.0020701748 0.0021550932 0.0043078912 0.003883299 0.0020541092 0.001780993 0.0038993647 0.0022560775 0.0019737808 0.0026806698 0.0026554237 0.0033600177 0.0029331301 0.0029216546 0.0022032904 0.003001983 0.00182919 0.002120667 0.0025819808 0.0032796892 0.0025957513 0.002634768 0.0022859136 0.0024741113 0.0018750918 0.0024442752 0.0023295204 0.0033026403 0.0040141195 0.001808534 0.0025682102 0.0024282094 0.0032773942 0.0019898466 0.0025521445 0.0019278789 0.0023019793 0.0023983733 0.0026967356 0.001758042 0.0034380509 0.003047885 0.007323645 0.0068187243 0.0019485349 0.0019898466 0.0021964049 0.0020150926 0.0017878782 0.0016455824 0.0021527982 0.0025039476 0.0018429605 0.0022400117 0.003073131 0.0024282094 0.0018911575 0.009235458 0.0029629664 0.0062197046 0.0015560738 0.0015445983 0.0025796858 0.008025943 0.0025498495 0.025544396 0.0018383703 0.0064836405 0.0015767296 0.0015744345 0.009430542 0.0016685333 0.0017649273 0.0017511568 0.0017396812 0.0017924684 0.0016868941 0.0015905001 0.0016042707 0.0017144352 0.0014045975 0.0015767296 0.0017511568 0.0017396812 0.0015308277 0.0014344337 0.0017396812 0.0018888623 0.0016501726 0.0017305008 0.0016731236 0.0015973854 0.0013724662 0.0015675492 0.0018613213 0.0014734503 0.0016157462 0.0014964013 0.001537713 0.0014849259 0.0013265644 0.0015423031 0.0016685333 0.00134263 0.0014091877 0.0013518104 0.0016019756 0.0016478775 0.0017350911 0.0021665688 0.0019462397 0.0018223047 0.00182919 0.0016478775 0.0016272217 0.001709845 0.0016570579 0.0017878782 0.0061692125 0.0032360826 0.0023731273 0.0044869087 0.003029524 0.0016593529 0.0027449324 0.0033829685 0.0029400154 0.003029524 0.0019623053 0.0019026329 0.013157774 0.001636402 0.0022078804 0.0020931258 0.0025521445 0.0019324692 0.002464931 0.0018314851 0.0018108292 0.0016065658 0.0019577153 0.0018842722 0.0027954245 0.0024098486 0.0020586993 0.00243739 0.0019278789 0.0023754223 0.0018613213 0.0019944366 0.0028665725 0.0021987 0.0021619785 0.0019393545 0.002467226 0.0023226351 0.0019967319 0.0022905038 0.016377792 0.0033278863 0.002221651 0.0047554346 0.0038557579 0.0022285362 0.0020678798 0.002217061 0.0037410033 0.002024273 0.0020678798 0.0020678798 0.0022331264 0.0014550895 0.0033531324 0.0026026366 0.0036652652 0.003247558 0.0021803393 0.0018957476 0.0033278863 0.0036996915 0.0042092022 0.06303476 0.023461685 3.6851416e-05 8.061247e-05 5.7580337e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008246656 1.8425708e-05 4.260945e-05 1.2667674e-05 2.3032135e-06 0.0 4.606427e-06 1.4970888e-05 1.4970888e-05 2.3032135e-06 3.4548202e-06 8.061247e-06 2.6486954e-05 1.3819281e-05 7.715765e-05 0.00094546913 0.0018805738 8.061247e-06 2.3032135e-06 1.2667674e-05 2.3032135e-06 0.0 0.0 2.0728921e-05 9.212854e-06 0.0 0.0 0.0 5.7580337e-06 0.0 1.3819281e-05 0.00040306235 0.011566738 0.00013358638 0.00042033647 0.00015201209 0.0001704378 8.867372e-05 0.0001197671 0.0001531637 9.212854e-05 4.606427e-05 0.000102492995 2.6486954e-05 6.333837e-05 1.9577314e-05 6.448998e-05 0.0009316498 0.0056682085 0.0001197671 0.0001531637 0.00011170585 0.00012897995 7.024801e-05 0.00014279924 0.00011861549 4.0306237e-05 3.6851416e-05 7.715765e-05 2.6486954e-05 3.569981e-05 5.1822302e-05 7.370283e-05 0.00021995688 0.0035147038 0.00015546691 0.00014049602 6.2186766e-05 5.7580335e-05 2.6486954e-05 6.679319e-05 2.8790168e-05 5.988355e-05 1.2667674e-05 2.6486954e-05 1.6122494e-05 3.3396595e-05 6.2186766e-05 0.00019001511 0.00026371793 0.0077065523 0.00011055425 0.00071514776 0.00019116672 0.00033511757 0.00019692475 0.00042263966 0.0002902049 5.5277123e-05 3.800302e-05 3.3396595e-05 5.0670697e-05 5.988355e-05 0.00030056934 0.0012610094 0.0023838258 0.0090976935 0.00014740566 0.0007070865 0.00020728921 0.0008729179 0.00039039468 0.000857947 0.00055622606 3.9154627e-05 3.6851416e-05 0.00012667674 0.00013358638 0.0001715894 0.00089595 0.0021949625 0.0024321934 0.013948261 0.00041457842 0.0010295364 0.00052167784 0.0018609965 0.0005942291 0.0029181715 0.0016053398 0.00021650207 0.00035124004 0.0007220574 0.00033511757 0.0004629459 0.0011700324 0.0018011129 0.002708579 0.008252414 0.0002211085 0.00083146006 0.0003581497 0.0010157172 0.00051822304 0.0012932543 0.0009558336 0.00021189563 0.00020153118 0.00027062758 0.00043530733 0.0007139962 0.0014659953 0.0012437353 0.0032371664 0.009598642 0.00062186766 0.001355441 0.000582713 0.0011078457 0.0008118827 0.0012540998 0.0009247402 0.0007047833 0.00046985556 0.0004295493 0.00039845592 0.0006172612 0.0008878888 0.0010825103 0.0027373692 0.011698021 0.0009811689 0.0041043265 0.0033569336 0.002099379 0.0017585035 0.0024644383 0.002262907 0.003596468 0.0013761701 0.00090631447 0.0009397111 0.0014372052 0.0009788657 0.0007715765 0.008437823 0.037991505 0.0053687906 0.017890211 0.014631163 0.014426177 0.009937215 0.006867031 0.009888847 0.019063698 0.004243671 0.003145038 0.0039304337 0.010067346 0.0051407726 0.010556779 0.034398492 0.06304356 0.012800109 0.015039984 0.01758158 0.037611477 0.015429227 0.010358702 0.014820027 0.039247908 0.012393592 0.006647074 0.007431318 0.026894623 0.0098324185 0.020834869 0.029656176 0.019864064 0.012895692 0.013450767 0.014815421 0.016884858 0.013162864 0.013238871 0.013867648 0.015979694 0.015052651 0.013117952 0.013267661 0.0155743295 0.013172078 0.015269154 0.016235352 1270.0 8.083465 10266.0 0.030294174 0.0057471264 0.006526398 0.005357491 0.019189557 0.005357491 0.004967855 0.00993571 0.007500487 0.006526398 0.0056497175 0.007305669 0.004773037 0.004870446 0.011883888 0.0055523086 0.014319112 0.005162673 0.007403078 0.0070134425 0.0054548997 0.0034093123 0.0045782193 0.004967855 0.007305669 0.0077927136 0.005357491 0.0058445353 0.0034093123 0.0054548997 0.0044808104 0.003798948 0.012760568 0.0152932005 0.005162673 0.011396844 0.012078706 0.011299435 0.0077927136 0.007890123 0.037210207 0.012565751 0.004675628 0.0036041301 0.013052796 0.010617573 0.0056497175 0.005357491 0.015780246 0.0069160336 0.008377167 0.011689071 0.012273524 0.006526398 0.008377167 0.011981297 0.007500487 0.004967855 0.0057471264 0.0044808104 0.006039353 0.0055523086 0.0055523086 0.007987532 0.007597896 0.028345997 0.008961621 0.020358466 0.018410286 0.047438145 0.009448665 0.008669394 0.006721216 0.023670368 0.006039353 0.004967855 0.021917008 0.010812391 0.020942919 0.026397819 0.00905903 0.0036041301 0.03448276 0.021527372 0.044710696 0.0163647 0.008474576 0.004675628 0.008571985 0.010227937 0.004675628 0.0032144946 0.0035067212 0.004091175 0.004091175 0.004675628 6.215564 1.0 0.0 0.0 5.0 435712.0 487424.0 1.0 0.0 109.0 0.0 1.0 0.0 0.0 0.0 1477392300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 218624.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -219136.0 0.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.412132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1425903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.954782 0.0 6.6646204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218719.0 0.0 183376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 251548.0 183376.0 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 249232.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 249320.0 0.0 0.0 464.0 225280.0 0.0 0.0 0.0 0.0