Input: 0.056716137 0.008303334 0.0061738756 0.0056599043 0.0057583465 0.0049677007 0.0042019244 0.0054205344 0.005050599 0.005632962 0.003755308 0.0044734175 0.0049573383 0.003167764 0.0043210913 0.0046464684 0.005037128 0.003772924 0.0049355775 0.00415633 0.004345961 0.0031739813 0.004105555 0.0038454605 0.005068215 0.0033480686 0.0031625829 0.0029335753 0.004160475 0.0034371845 0.0037895038 0.0037926126 0.006166622 0.0038164458 0.0034827788 0.0030268363 0.004898273 0.004158403 0.0038423517 0.0037211124 0.004725222 0.0038951996 0.0033356338 0.0030962639 0.0043708305 0.0037335472 0.0037242211 0.0035801847 0.0055179405 0.0039418302 0.0031024814 0.0029087057 0.0036796632 0.0030703582 0.0026807345 0.002861039 0.004173946 0.0033066194 0.003528373 0.0033573946 0.00400504 0.003216467 0.0035066123 0.0034558368 0.006597695 0.0039428663 0.0036154166 0.003216467 0.0041521853 0.003221648 0.0035387354 0.0030682858 0.004999824 0.0037708515 0.0037024603 0.0035926194 0.004125243 0.0031221698 0.0035604963 0.003469308 0.0051604398 0.0036247429 0.0036589385 0.003332525 0.0039304313 0.0033781193 0.0033646482 0.003537699 0.0046506133 0.003643395 0.003804011 0.0035086847 0.004110736 0.0033864093 0.0036848444 0.0037895038 0.005912745 0.003625779 0.003340815 0.0029594812 0.0040019318 0.0030485971 0.0032641336 0.0030226915 0.004973918 0.0031656916 0.003194706 0.0030485971 0.0035750035 0.002834097 0.0030869378 0.003194706 0.0045138304 0.0032858946 0.003221648 0.0031377133 0.0038951996 0.0033294163 0.003287967 0.0036278514 0.004621599 0.0032869307 0.0034817427 0.003171909 0.0040330184 0.003194706 0.0034672352 0.0033459961 0.008652545 0.004599838 0.0040102215 0.0035221558 0.0043718666 0.0034382208 0.0030175103 0.0033915904 0.0045438814 0.0038330255 0.0029543 0.0031905612 0.0037304384 0.0027905751 0.0028454957 0.0029884956 0.0052309036 0.0032061047 0.0035024672 0.0030268363 0.0036620472 0.0031801988 0.0033024743 0.0032558439 0.0045428453 0.0028382419 0.0030423799 0.002700423 0.0035117934 0.0032309743 0.0029905683 0.0031511844 0.005010186 0.0034092064 0.0032641336 0.0027999014 0.003777069 0.0030102567 0.0030599958 0.0031801988 0.0041438956 0.0030019667 0.0031221698 0.0030144015 0.0036454673 0.002833061 0.002918032 0.003024764 0.0046651205 0.0031169886 0.0038413154 0.0028641478 0.0035656774 0.0031574017 0.0029936768 0.0031200973 0.0042516636 0.0031470393 0.0033356338 0.0031801988 0.0036516848 0.00319367 0.0033294163 0.0033522134 0.0067241155 0.0040558157 0.0037231848 0.0033387425 0.004119026 0.0032537715 0.0033024743 0.0032247568 0.0043345625 0.0033304526 0.0031149162 0.003091083 0.0036454673 0.0029884956 0.003074503 0.0027947202 0.004241301 0.003270351 0.0030941914 0.0030009307 0.0037159312 0.0030330538 0.0029377204 0.0029480828 0.0039801705 0.0031086989 0.00273151 0.0026330678 0.003523192 0.0029470464 0.0035781122 0.0028910898 0.0049708094 0.0032330467 0.0034040252 0.0029750247 0.0038029747 0.0030765755 0.0031957424 0.0029076696 0.004436113 0.005449549 0.0034641267 0.0031356409 0.003794685 0.0030900466 0.0032527351 0.0031895249 0.004613309 0.0033242353 0.0034206049 0.0030371987 0.0037376923 0.0030941914 0.003313873 0.0032444452 0.004351142 0.0030330538 0.00318538 0.002865184 0.00401333 0.0030900466 0.0042195404 0.0045179757 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099244595 0.06201535 0.062465236 0.055315364 0.060571782 0.059555784 0.054915816 0.054463338 0.060471635 0.053143784 0.05212208 0.052960612 0.056433067 0.05055086 0.056673836 0.05383651 4014.0 5.703787 22895.0 0.017121643 0.01043896 0.009347019 0.008648177 0.013452719 0.012448133 0.011792968 0.011487224 0.012535488 0.009783796 0.008473466 0.008604499 0.013889495 0.010526316 0.011792968 0.010002184 0.016772222 0.011880323 0.008779209 0.007556235 0.009827473 0.008473466 0.007818301 0.008342433 0.010307928 0.008473466 0.009609085 0.008866564 0.011530902 0.00895392 0.00969644 0.009215986 0.018082552 0.010875737 0.010395283 0.009041276 0.010919414 0.008822887 0.010657349 0.008298756 0.014282594 0.0116182575 0.009783796 0.00895392 0.011487224 0.009347019 0.011705613 0.009565407 0.014806726 0.009609085 0.009958507 0.008997598 0.012098712 0.009347019 0.009565407 0.009783796 0.013714785 0.009215986 0.010569993 0.009565407 0.011137803 0.009871151 0.010395283 0.010701027 0.017951518 0.01100677 0.00969644 0.008211399 0.013103298 0.0082550775 0.009390697 0.008342433 0.015461891 0.009303342 0.0089102425 0.008691854 0.011356192 0.007993012 0.009914828 0.007861978 0.013278008 0.008036689 0.008735532 0.008822887 0.011399869 0.009390697 0.008211399 0.007861978 0.010875737 0.008822887 0.011924 0.008517143 0.011312514 0.008997598 0.009958507 0.008779209 6.554492 0.0 0.0 0.0 14.0 965034.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.34768385 0.0074950308 0.0071913647 0.0022636927 0.0036094855 0.0024362302 0.005955996 0.0025880632 0.0027260932 0.0012629748 0.011428887 0.0016839664 0.0011180433 0.0037613185 0.0014631184 0.00096621027 0.0013595958 0.0023879197 0.0024845407 0.0016494589 0.0008419832 0.0016701635 0.001870307 0.0011111418 0.0010628313 0.0006763472 0.0008074757 0.0011042403 0.004941475 0.0050795055 0.0016632619 0.0059490944 0.06978799 0.0014700199 0.00188411 0.0011318463 0.0012284673 0.0012422703 0.0016218529 0.00096621027 0.0038165306 0.00096621027 0.0015390349 0.0036646975 0.001939322 0.0011870583 0.0029469412 0.005245141 0.004140901 0.0034783569 0.0032230013 0.0060181096 0.0040097726 0.003699205 0.0027813052 0.0031746908 0.0029469412 0.0031263803 0.0013872018 0.0007246577 0.0050864066 0.0010490282 0.004886263 0.00095930876 0.0015045274 0.0045687943 0.0034783569 0.004844854 0.003754417 0.0035818794 0.0030849713 0.0025259496 0.0029745472 0.00376822 0.0026570782 0.0024155257 0.0030435622 0.0032437057 0.0039269547 0.0029193352 0.0046654153 0.0023465105 0.0039269547 0.0050449977 0.0042444235 0.0026501766 0.0030780698 0.0030987742 0.0021808746 0.00188411 0.0024431315 0.0003381736 0.00046930212 0.0004002871 0.0003174691 0.001925519 0.00060733216 0.010096897 0.004085689 0.005693739 0.006280367 0.01621853 0.0030021532 0.0055073984 0.004140901 0.009386042 0.0024017226 0.0025811617 0.0069981227 0.0060733217 0.00891674 0.014727805 0.0071568573 0.0025121467 0.011408183 0.007087842 0.014223995 0.005093308 0.0028434186 0.0026777827 0.003740614 0.0041339993 0.0023120032 0.00202214 0.00049690815 0.0007453622 0.00060733216 0.0008695892 0.0029055323 0.0009869147 0.00049000664 0.0004278931 0.0004071886 0.0006211352 0.00050380966 0.00049690815 0.00061423366 0.0007660667 0.0004347946 0.0004347946 0.00060043065 0.0004624006 0.00046930212 0.00053141563 0.0004002871 0.00055212015 0.00044169612 0.00053831714 0.0003864841 0.00033127208 0.00028986306 0.0013388913 0.0004071886 0.0004347946 0.0003726811 0.0004347946 0.00044859762 0.0004071886 0.0003657796 0.0005728246 0.0003795826 0.0004209916 0.0006901502 0.00049690815 0.00055212015 0.00044169612 0.0003657796 0.00024845407 0.0003174691 0.00065564265 0.0010283238 0.00094550574 0.0008695892 0.00041409011 0.00056592317 0.0004554991 0.0004278931 0.00048310513 0.0003726811 0.00049690815 0.00046930212 0.0004071886 0.00049000664 0.0005176126 0.00066254416 0.00059352914 0.0003933856 0.00090409676 0.0009248012 0.00061423366 0.00041409011 0.0010766343 0.0009938163 0.0008764907 0.0009938163 0.0010007177 0.0008419832 0.0008074757 0.0010214222 0.0010145208 0.00090409676 0.0012698764 0.0014769214 0.0012974823 0.0015735424 0.0011180433 0.00064183964 0.00060733216 0.00061423366 0.0012629748 0.0006280367 0.0007453622 0.00026915857 0.0007660667 0.0004278931 0.0003864841 0.00044859762 0.00064874114 0.00061423366 0.00050380966 0.0008143772 0.0007660667 0.00096621027 0.0007453622 0.0006832487 0.00053141563 0.0003795826 0.00033127208 0.0003795826 0.00022084806 0.00024845407 0.0003795826 0.0004071886 0.00060043065 0.00046930212 0.00053831714 0.00033127208 0.00054521865 0.00048310513 0.0003933856 0.00066254416 0.0007729682 0.00055902166 0.00053141563 0.0004624006 0.0006280367 0.00048310513 0.0008764907 0.0012422703 0.0011732553 0.0015252319 0.002091155 0.0029883503 0.0034300464 0.005610921 0.050443076 0.028131975 4.8828126e-05 6.9754465e-06 6.9754465e-06 0.0 2.092634e-05 2.092634e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033482144 0.0068987166 1.7438617e-05 1.3950893e-05 3.4877232e-06 2.092634e-05 6.9754465e-06 1.3950893e-05 2.092634e-05 5.9291295e-05 6.9754465e-06 3.4877232e-06 3.4877232e-06 3.4877232e-06 0.0 1.046317e-05 5.9291295e-05 0.025711495 0.00017089843 9.0680805e-05 0.00028948102 9.765625e-05 3.8364957e-05 0.0001953125 0.00017787388 6.6266744e-05 1.3950893e-05 2.4414063e-05 1.046317e-05 0.00018484933 1.046317e-05 2.4414063e-05 0.0014648438 0.04860491 0.00034528458 0.00040108818 0.0007498605 0.00018833706 5.580357e-05 8.719308e-05 0.00016741072 0.00032435826 5.580357e-05 4.5340403e-05 0.00013950893 0.0004359654 7.324219e-05 0.000101143974 0.005367606 0.017898995 0.00038016183 0.00041503907 0.0007324219 0.0001046317 3.4877234e-05 5.580357e-05 5.580357e-05 4.8828126e-05 4.8828126e-05 4.185268e-05 5.9291295e-05 0.00035923548 3.8364957e-05 3.4877232e-06 0.0011509487 0.0057791574 3.4877234e-05 0.0001046317 0.00016741072 0.000101143974 0.000101143974 0.00048828125 0.00023018973 6.277902e-05 6.9754465e-06 6.9754465e-06 6.9754465e-06 6.9754465e-06 0.0 2.092634e-05 2.4414063e-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 0.027211217 0.0013183594 0.053100586 0.0070975167 0.0060093473 0.0057128905 0.030503627 0.016556222 0.00017438616 5.231585e-05 7.672991e-05 9.765625e-05 0.0004499163 0.00011858259 7.672991e-05 0.0014439174 0.07453264 0.004474749 0.016280692 0.0054757255 0.0052734376 0.0038260324 0.018969726 0.011192104 0.00072893413 0.00046386718 0.0003871373 0.0010393416 0.0015590122 0.0007498605 0.00044294086 0.004603795 0.08118373 0.01015625 0.013961356 0.020085799 0.026496233 0.019360352 0.036132812 0.02512207 0.0023925782 0.0014264788 0.0014160157 0.001297433 0.0030203683 0.0018868583 0.0009486607 0.0051130024 0.050945174 0.009807478 0.0073625837 0.00902274 0.008708845 0.0059186663 0.011607143 0.007847377 0.0021240234 0.0018415179 0.0016845703 0.0017299107 0.0026681083 0.0018450056 0.0014299665 0.018314034 0.009315709 0.0031145369 0.002001953 0.0012660435 0.0009242467 0.00083007815 0.00284947 0.0021135602 0.001398577 0.00077776227 0.0004952567 0.0005266462 0.001070731 0.0008091518 0.0006487165 0.007571847 0.015705219 0.0036690847 0.004237584 0.0034179688 0.0019845145 0.0017124721 0.0029331753 0.0021833146 0.0015136718 0.001171875 0.0024553572 0.0013567243 0.0027797155 0.00206822 0.0013602121 0.015736608 0.0043840683 0.00041503907 0.0007986886 0.00070800784 0.0006243025 0.00039411272 0.00042550222 0.00035923548 0.0005440848 0.00042898997 0.00036969865 0.0007986886 0.0008893694 0.00047781807 0.0002685547 0.0023995535 0.0064941407 0.0009312221 0.0019635882 0.0016706195 0.0020298548 0.0012695312 0.0015171596 0.0014718192 0.0017787388 0.001499721 0.0019042969 0.0022426061 0.0031703403 0.0026262556 0.0016322545 0.010654994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 953.0 44.394543 42308.0 0.20078945 0.00018908954 0.0019381677 0.00011818096 2.3636192e-05 0.0 0.0 0.0 2.3636192e-05 2.3636192e-05 4.7272384e-05 0.006263591 0.0005672686 0.0005199962 0.005270871 0.014016261 0.008367212 0.008603574 0.007729035 0.00813085 0.006429044 0.006759951 0.0061690463 0.0076581263 0.0057435944 0.007067221 0.00096908386 2.3636192e-05 0.013330813 0.001607261 0.013330813 9.454477e-05 0.0 0.01229082 0.00912357 0.010967193 0.009029025 0.00763449 0.0074926727 0.00614541 0.0073508555 0.009076297 0.006759951 0.006239955 0.007563581 0.0083199395 0.008721755 0.0071617663 0.011250827 0.0062163183 0.008887208 0.013898081 0.011439917 0.006878132 0.008532666 0.008107213 0.0057435944 0.005081781 0.0063108634 2.3636192e-05 0.00018908954 0.0 0.0 0.0047508744 0.00016545334 0.02836343 0.011416281 0.0142053515 0.018034413 0.04748511 0.008414485 0.015788976 0.010754467 0.025645267 0.0063581355 0.0069490406 0.02079985 0.016403517 0.024818001 0.023967098 0.015056254 0.0068544955 0.027323438 0.017987141 0.041812424 0.013992625 0.008059941 0.007421764 0.011227191 0.01160537 0.0060981372 0.0 0.0 0.0 0.0 0.0 5.419757 0.0 2.0 0.0 12.0 144896.0 163840.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1542057500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 110080.0 512.0 8192.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110080.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.646119 0.0 3.974511 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109616.0 0.0 34292.0 0.0 0.0 0.0 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 0.0 0.0 34292.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 117496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.17604782 0.028284738 0.020326931 0.011715744 0.012856152 0.005945557 0.009358766 0.0058323178 0.0053062066 0.0041437517 0.01734363 0.0032248108 0.0031686923 0.0027778668 0.0032047685 0.0027237525 0.0030344087 0.00715912 0.006167025 0.0046217614 0.0031546627 0.0026205345 0.0032208024 0.0031686923 0.003459306 0.002245743 0.002194635 0.0020403091 0.0021435271 0.002211671 0.002039307 0.0029802944 0.0074727824 0.0021475356 0.0017777546 0.001307762 0.0016534922 0.0028279726 0.0024411557 0.0016214245 0.0063985134 0.0024662085 0.0030334066 0.0032548744 0.005353306 0.002288834 0.0076190913 0.0018809726 0.0050787264 0.003399179 0.0022467452 0.0034823548 0.0026756509 0.0019601397 0.0022337176 0.0022176837 0.0026235408 0.0023339293 0.0014580794 0.001230599 0.0027437948 0.0027949028 0.0021786012 0.0017276488 0.002048326 0.0033580924 0.0025072955 0.003930301 0.0044594184 0.0049153813 0.0023439503 0.00249527 0.0025563992 0.0043481835 0.0013498509 0.0038020299 0.002718742 0.0023209017 0.0023008594 0.0027227504 0.0043221284 0.0028299768 0.0028770764 0.0049073645 0.005404414 0.0026756509 0.0024972742 0.0020072393 0.0016985874 0.0021395187 0.0016274372 0.0012366117 0.0022527578 0.0018719536 0.0016534922 0.0050386414 0.0015232171 0.012910266 0.0040134764 0.005723087 0.0056028333 0.022989554 0.0040906393 0.0062411814 0.0029732795 0.012441276 0.001419999 0.002804924 0.010040205 0.0064225644 0.011627558 0.02160964 0.007844567 0.0019471123 0.013915389 0.014212016 0.016753383 0.007184173 0.004206885 0.0032548744 0.0033520795 0.0043922765 0.0018819747 0.0065167635 0.0017336615 0.0028470128 0.0018739578 0.0019330827 0.003130612 0.0025233293 0.0017617207 0.0022096669 0.0012797028 0.0017697377 0.0019631463 0.0016925747 0.0018368795 0.001806816 0.0024561875 0.0012155672 0.0016895684 0.0019601397 0.0015833441 0.0016184181 0.001574325 0.0017547059 0.0016805494 0.0019431039 0.00094599795 0.0013789122 0.0016093991 0.0019992224 0.0015172043 0.0023048678 0.0014009589 0.0014761175 0.0015442615 0.001738672 0.001781763 0.0017076065 0.0015853483 0.001832871 0.0030494404 0.0019651505 0.0013468445 0.0019370911 0.001101326 0.0018438942 0.0018729557 0.0013749038 0.0014270139 0.0016194202 0.0019310784 0.0015061811 0.0020142542 0.0015232171 0.0015903588 0.0018228499 0.0013909377 0.0010702604 0.0011083408 0.0017156234 0.0019030191 0.0012586582 0.0012295969 0.0021876201 0.0015803376 0.0015432594 0.0014831324 0.0020513325 0.0014410435 0.0016925747 0.00122158 0.001419999 0.0012977408 0.001703598 0.0013488488 0.0015532805 0.0015061811 0.0021134636 0.0010111355 0.0016564985 0.0010442054 0.001350853 0.002348961 0.0010021165 0.0019851928 0.0017506975 0.0025934775 0.0015021726 0.0015933652 0.0012245863 0.0016735345 0.0013087641 0.0019410996 0.0011494276 0.0014931535 0.001238616 0.0012746921 0.0019421017 0.0018609302 0.0012316011 0.0017617207 0.0018168371 0.0015432594 0.00197918 0.0019661526 0.0020363007 0.0014520668 0.0013428361 0.0016334498 0.00095802336 0.0016544943 0.0022176837 0.0011845017 0.0015292297 0.0016244308 0.0018408879 0.0016244308 0.0017186297 0.0026205345 0.0015202106 0.001471107 0.0019912054 0.0018278605 0.000998108 0.0017867737 0.0015101895 0.0019741694 0.0015933652 0.0013187852 0.0024551854 0.0019380932 0.0015532805 0.0032719104 0.007933756 0.0020554985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009916174 0.0 1.2545767e-05 4.516476e-06 5.018307e-07 0.0 1.3549428e-05 5.0183066e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009020909 0.0001078936 0.00025342448 0.00020876156 0.0007181197 0.00067345676 0.004655985 0.001674609 0.00013449062 8.5813044e-05 8.3303894e-05 0.00019420848 0.00010488261 0.00015105103 0.000106388106 0.00032618994 0.018923031 0.00082551147 0.0014904371 0.00046720437 0.0058137085 0.005998884 0.036489613 0.01813566 6.624165e-05 0.00013950893 8.4809384e-05 9.835881e-05 0.00014753822 9.785698e-05 0.000106388106 0.0005294314 0.09913414 0.00813066 0.00950668 0.0035695217 0.0033497198 0.0033010421 0.017488297 0.014112483 0.0012771591 0.0015361037 0.0013178074 0.00086415245 0.0013945875 0.0018176307 0.00078887783 0.0019897586 0.062673636 0.007676504 0.0072604865 0.0055823643 0.0039850376 0.0036824336 0.01662816 0.012928664 0.0014593236 0.0015240598 0.0014307193 0.0009906137 0.0014417595 0.0014693602 0.0014733749 0.0023731573 0.050867062 0.0067877616 0.007462222 0.0055136136 0.0062849275 0.005568815 0.023987005 0.016549371 0.0039609494 0.0014362395 0.0009891082 0.0011923497 0.0013313568 0.0010011522 0.001899931 0.0039142794 0.018987767 0.004326784 0.0030034566 0.0025121644 0.002178447 0.0017639349 0.0053364676 0.0031304199 0.0025573291 0.0007542515 0.0005761016 0.0007346801 0.0007000538 0.0006037023 0.00090229156 0.0012641115 0.010697525 0.0019245207 0.0019049493 0.0016304479 0.0012390199 0.0014086387 0.0023646262 0.0016500193 0.0007361856 0.000702563 0.00045766958 0.0006102261 0.0005816218 0.0010924854 0.00088372384 0.0008927568 0.0011978698 0.000248908 0.00028554167 0.00030561487 0.00030561487 0.00025894464 0.00087920733 0.00066191464 0.00011090458 0.000105886276 8.4809384e-05 9.635149e-05 0.00010438078 8.0794736e-05 0.0001881865 0.00022381649 0.0016670815 0.00044713114 0.0005309369 0.0005354533 0.00070406846 0.00037737668 0.00085762865 0.0006147426 0.00031665515 0.00029206547 0.00028905447 0.0002714904 0.0002745014 0.00023535859 0.0003859078 0.00042254143 0.035114095 0.022042913 0.02188032 0.02010936 0.023663826 0.022071015 0.023921767 0.024516938 0.019922176 0.019820305 0.022659663 0.020052653 0.018269146 0.019094156 0.019609535 0.023881119 9616.0 19.420029 186743.0 0.015009933 0.0006265295 0.0009424717 0.0002945224 0.00023561793 0.0011566698 0.0014137076 0.00024632784 0.0007443385 0.0010709906 0.00069078896 0.0015154517 0.008910642 0.0010870554 0.026994318 0.00228121 0.012311037 0.009558591 0.0025650226 0.0038073717 0.005354953 0.004680229 0.0017724895 0.004990816 0.005151465 0.0028381252 0.00020884316 0.00016064859 0.001483322 0.007818231 0.0018206841 0.0010067312 0.0001713585 0.0062867147 0.0061528413 0.012289617 0.013896103 0.009606786 0.0033896852 0.00395731 0.0027203162 0.012225358 0.00036949175 0.0041340236 0.0034860745 0.0040804744 0.0028113504 0.004262543 0.01023867 0.0035074942 0.0052746288 0.015502589 0.016348671 0.007775392 0.0043803514 0.002393664 0.0016814553 0.0012048645 0.0008567925 0.0006051097 0.0006265295 0.0001820684 0.001028151 0.016171958 0.00032665214 0.048928205 0.011620248 0.01871556 0.018388908 0.099398635 0.008310887 0.020380951 0.006522333 0.0470861 0.00038020167 0.008203788 0.03990511 0.02339579 0.043423314 0.047846507 0.01889763 0.0004444611 0.047369916 0.04724675 0.06458073 0.023390435 0.0111008175 0.008321597 0.009285488 0.01312499 0.0023079847 0.0018635236 0.00014993869 0.0019117183 0.00016600355 0.0006372394 5.425919 1.0 1.0 0.0 1.0 997888.0 1015808.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542136200.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 988672.0 512.0 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 -988672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.842681 0.0 3.2408354 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 -988532.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 996628.0 8192.0 999424.0 0.0 0.0 0.0 0.0 12.0 1007616.0 28.0 996508.0 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: 0.27209473 0.028035482 0.0045572915 0.0021565754 0.0041503906 0.0012613932 0.0010986328 0.0012613932 0.005086263 0.0009358724 0.0012207031 0.00069173175 0.0034993489 0.0009358724 0.0010172526 0.003092448 0.013387044 0.0040283203 0.0013834635 0.00056966144 0.001546224 0.010375977 0.00081380206 0.00048828125 0.0019124349 0.0012207031 0.00048828125 0.0010579427 0.0013834635 0.0013020834 0.0008951823 0.00061035156 0.0078125 0.00032552084 0.00069173175 0.00040690103 0.0013427734 0.0016682943 0.00024414062 0.00020345052 0.0012207031 0.00036621094 0.00024414062 0.00040690103 0.0020345051 0.0005289714 0.0026855469 0.00016276042 0.0015055338 0.0006510417 0.0012207031 0.004760742 0.00081380206 0.0013834635 0.00040690103 0.00040690103 0.0008951823 0.003458659 0.00069173175 0.0024820964 0.0007324219 0.0010172526 0.00044759116 0.00040690103 0.002400716 0.0023600261 0.00061035156 0.0028483074 0.0028889973 0.011067708 0.0021158855 0.0014648438 0.0017496744 0.0019124349 0.00028483072 0.00061035156 0.0019938152 0.0034179688 0.001546224 0.0010579427 0.012329102 0.0017089844 0.002400716 0.010457356 0.0025634766 0.0032958984 0.008097331 0.0075276694 0.0016682943 0.0024820964 0.0008951823 0.0021158855 0.0044759116 0.0018717448 0.0018717448 0.003092448 0.0025634766 0.008911133 0.0011800131 0.0061035156 0.0056966147 0.019083658 0.0045166016 0.0034179688 0.010538737 0.010294597 0.005004883 0.00069173175 0.009562175 0.0041910806 0.010945638 0.013264974 0.005900065 0.00012207031 0.014567058 0.009073894 0.022623697 0.01550293 0.0018310547 0.0029296875 0.0024820964 0.0030110676 0.00012207031 0.00020345052 0.003458659 0.0015869141 0.00024414062 0.00012207031 0.0037841797 0.0011800131 0.00020345052 0.004435221 0.0020345051 0.014444987 0.00032552084 8.138021e-05 0.0007324219 0.00793457 0.00024414062 0.014444987 0.0013020834 0.010823567 0.00016276042 0.00016276042 0.001546224 0.0011800131 0.00012207031 0.00016276042 0.0010986328 0.00048828125 0.00044759116 0.00016276042 0.00044759116 0.00028483072 0.00016276042 4.0690105e-05 0.000773112 0.0011800131 0.00020345052 0.00012207031 0.0009765625 0.0013427734 8.138021e-05 0.00048828125 0.00061035156 0.00036621094 8.138021e-05 4.0690105e-05 0.00061035156 8.138021e-05 0.00024414062 0.00061035156 0.00081380206 8.138021e-05 0.00028483072 4.0690105e-05 0.00056966144 0.00012207031 0.0 4.0690105e-05 0.0008544922 0.005452474 0.00036621094 0.00036621094 0.0012613932 0.00024414062 0.00024414062 0.00056966144 0.00056966144 0.0028076172 0.00040690103 0.00040690103 0.006713867 0.00020345052 0.0019124349 0.001546224 0.0011800131 0.00020345052 0.0011393229 0.002400716 0.0012613932 0.0019124349 0.00020345052 0.00012207031 0.014160156 0.00020345052 0.00024414062 0.00016276042 0.0017089844 0.00024414062 0.00012207031 0.0011800131 0.0015869141 0.00012207031 0.0028483074 0.0016276041 0.0017089844 0.00016276042 4.0690105e-05 0.00061035156 0.0014241537 0.00040690103 0.00032552084 0.00036621094 0.0017089844 0.00012207031 8.138021e-05 0.00024414062 0.0023600261 0.00016276042 0.0005289714 0.00024414062 0.006958008 0.0007324219 0.00016276042 0.002319336 0.004964193 0.00032552084 0.00069173175 0.00032552084 0.004964193 0.00040690103 0.00028483072 0.00081380206 0.0026041667 0.006551107 0.0018310547 0.0007324219 0.004272461 0.00036621094 0.00024414062 0.0028483074 0.004435221 0.008870442 0.00061035156 0.079305016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11981998 0.00033967392 0.0070057744 0.002568784 0.007218071 0.007196841 0.045622453 0.025921365 0.00048828125 6.368886e-05 0.00036090353 0.00027598505 4.245924e-05 0.000106148094 0.00019106657 0.00016983696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014839504 0.00019106657 0.00023352582 0.00029721466 0.0029721467 0.0028659985 0.01343835 0.007536515 4.245924e-05 0.00012737772 0.00014860733 0.00025475543 0.00012737772 8.491848e-05 0.00012737772 0.00019106657 0.051694125 0.001507303 0.0021866509 0.0014860734 0.006984545 0.010190218 0.023819633 0.018830672 0.002632473 0.002568784 0.001167629 0.0011888586 0.0014648438 0.0019743547 0.0013586957 0.0013799253 0.016601562 0.001061481 0.0005731997 0.0012950068 0.002462636 0.0031419836 0.00613536 0.0042671533 0.0022927988 2.122962e-05 0.00012737772 0.00023352582 0.0012950068 0.0003184443 0.00070057745 0.0029509172 0.020359205 0.0040973164 0.0014436141 0.0023777173 0.0029296875 0.008024796 0.0061778193 0.0054347827 0.007961107 0.00089164404 0.00091287366 0.0021441916 0.003630265 0.0013586957 0.0022927988 0.016920006 0.09440812 0.03564453 0.0076638926 0.0139054 0.016368037 0.037003227 0.019722316 0.022588314 0.051481828 0.0044794497 0.0042671533 0.010572351 0.028341543 0.011209239 0.017960258 0.10264521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159.0 13.27673 2111.0 0.008526765 0.0009474183 0.0014211275 0.0 0.0 0.0009474183 0.0 0.0 0.00047370914 0.0 0.0 0.0 0.00047370914 0.0018948365 0.009947892 0.0 0.0023685456 0.0018948365 0.0042633824 0.006631928 0.0 0.0 0.00047370914 0.0014211275 0.0014211275 0.00047370914 0.0009474183 0.0 0.0 0.0 0.0009474183 0.0 0.0009474183 0.01136902 0.0023685456 0.013737565 0.009947892 0.018000947 0.0094741825 0.009947892 0.0014211275 0.01089531 0.0 0.0042633824 0.010421601 0.003315964 0.006631928 0.0061582187 0.011842729 0.00568451 0.0146849835 0.02794884 0.009000474 0.00568451 0.013263856 0.024159167 0.0023685456 0.0018948365 0.0 0.0014211275 0.0009474183 0.00047370914 0.0009474183 0.01610611 0.0009474183 0.036949314 0.00568451 0.02842255 0.029843677 0.108479396 0.0071056373 0.0146849835 0.011842729 0.03884415 0.0023685456 0.0042633824 0.041212697 0.02179062 0.046897206 0.047370914 0.017527238 0.0 0.064898156 0.035054475 0.07389863 0.017527238 0.007579346 0.0071056373 0.012316437 0.015632402 0.0 0.00047370914 0.0 0.00047370914 0.0 0.0 5.2403817 0.0 0.0 0.0 2.0 24576.0 32768.0 1.0 0.0 107.0 0.0 1.0 0.0 0.0 0.0 1091599200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 19968.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.613095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0231404 0.0 3.4062574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19896.0 0.0 2912.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21440.0 2912.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4560.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8304.0 156.0 584.0 456.0 4096.0 64.0 21336.0 0.0 0.0


Input: 0.16110282 0.036562767 0.018554688 0.00796915 0.013151931 0.005429421 0.0084257675 0.005269438 0.006795942 0.004706165 0.017321486 0.0036796075 0.0045495145 0.004006239 0.0038395904 0.0033863054 0.0048261518 0.015381693 0.0052127773 0.009675635 0.004506186 0.0027997014 0.006186007 0.0051661157 0.0039795754 0.002879693 0.0027897025 0.002836364 0.0036662756 0.0036396119 0.0022364282 0.0043062074 0.008265785 0.0033929714 0.0024564047 0.00256306 0.0023330846 0.0021131078 0.002399744 0.0023864121 0.0067926086 0.0021097749 0.003319646 0.0039829086 0.0027963684 0.004022904 0.0035696193 0.002409743 0.004059567 0.0029530183 0.0023030876 0.0023030876 0.0025797249 0.0025897238 0.00224976 0.0022264293 0.0026763813 0.0019397931 0.0025830579 0.001803141 0.002086444 0.0021531037 0.0017831431 0.0021864334 0.004196219 0.0039695767 0.0026597164 0.0033463098 0.0030896703 0.0024997334 0.0026230535 0.0021764345 0.0027697047 0.0024464058 0.0018531356 0.0020764451 0.002546395 0.0025130652 0.0022797568 0.0023230854 0.0040962296 0.0020331165 0.002856362 0.0036496108 0.0029730161 0.0023764132 0.0019931206 0.002086444 0.003736268 0.0029363534 0.0020531144 0.0019864547 0.0017731442 0.0018364708 0.0018997974 0.003736268 0.0030796714 0.0071259066 0.0030696725 0.0039729094 0.004402864 0.0107121905 0.0023530824 0.003456298 0.0025263971 0.006355989 0.001956458 0.001953125 0.0051694484 0.003732935 0.0052427743 0.014761759 0.005889372 0.0021597696 0.00803581 0.007835831 0.007482535 0.0039929072 0.0027430407 0.002556394 0.003159663 0.00315633 0.002399744 0.0069225947 0.002269758 0.0028630279 0.0023430835 0.0023797462 0.0058260453 0.005699392 0.002549728 0.0024397396 0.002399744 0.001953125 0.001949792 0.002263092 0.002086444 0.0018631346 0.00212644 0.0024630707 0.0021064419 0.0023297514 0.002103109 0.0023097536 0.0023630813 0.0020064525 0.0019231281 0.0017298155 0.0029196886 0.001953125 0.001959791 0.0017898091 0.0019264612 0.0019831217 0.002253093 0.001649824 0.0024297407 0.0021664356 0.0022297623 0.002263092 0.0034729629 0.0018131399 0.00224976 0.002263092 0.0019797888 0.0019697899 0.0018664675 0.0021597696 0.002116441 0.0020497814 0.0020531144 0.0017564793 0.0021397718 0.0016231602 0.0017398144 0.0020097857 0.0021831004 0.0018231389 0.0016698219 0.0020564473 0.001796475 0.0018797995 0.0017098177 0.0020131187 0.0018797995 0.0021064419 0.0016664889 0.0017664783 0.0019364601 0.0019664569 0.00212644 0.0025230641 0.0036196138 0.0023430835 0.001956458 0.002129773 0.0018864655 0.0022264293 0.0018498027 0.0020531144 0.0022364282 0.0021464378 0.0020531144 0.0020064525 0.0022930887 0.0022364282 0.0017798102 0.0020697792 0.002269758 0.0017764772 0.0017831431 0.0020097857 0.002096443 0.0019097963 0.0015598336 0.001959791 0.0021497707 0.0017931421 0.0015398357 0.0016398251 0.0020197846 0.0021997653 0.002409743 0.002223096 0.0032763171 0.0020697792 0.0017498133 0.0021597696 0.0017931421 0.0017764772 0.0014165156 0.0019997866 0.0020031196 0.0020231176 0.0021064419 0.0018764666 0.0017231496 0.001803141 0.0014831751 0.0020664462 0.0026663824 0.0018964644 0.0020431154 0.0020264506 0.002083111 0.0018698005 0.0017631452 0.0021764345 0.0023064206 0.002266425 0.0020297836 0.0021097749 0.0027530396 0.0020731122 0.006745947 0.015575006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011131809 0.0009096747 0.00071068335 0.00028260113 0.0026905634 0.0021303778 0.01452135 0.008309143 9.364298e-05 2.8427334e-05 4.8493686e-05 3.0099529e-05 2.6755137e-05 3.5116118e-05 1.8394157e-05 0.0001287591 0.07175895 0.006747311 0.008335898 0.002277531 0.0043861703 0.0034497406 0.020782053 0.014732047 0.00058861304 0.00049998664 0.00039631047 0.0005016588 0.00045483734 0.00062038476 0.0005585135 0.0008962971 0.085001074 0.030810213 0.0097790025 0.0030668075 0.0026387253 0.005016588 0.008034902 0.007775712 0.0054446706 0.0032273384 0.0016337356 0.001765839 0.0016337356 0.0014732047 0.0011956202 0.00616037 0.041395213 0.009013137 0.0034397072 0.0016253745 0.0014364164 0.0020869006 0.002319336 0.0025785263 0.0033293425 0.002217332 0.0013059851 0.0013193627 0.0015668477 0.0015116653 0.0015451092 0.005501525 0.012757184 0.0012223753 0.00088124734 0.0007274053 0.0007407829 0.00074914383 0.0015919306 0.0012959519 0.001125388 0.0007207165 0.00071402773 0.0009799069 0.0006404511 0.0008929527 0.00044814855 0.001909648 0.013250481 0.0013076573 0.001867843 0.0011889314 0.0009180356 0.0011404377 0.002327697 0.0020367347 0.0011554875 0.0011404377 0.0010267284 0.0011387655 0.0010334172 0.0012173587 0.0007959653 0.0027005966 0.014011331 0.00095816836 0.0018895816 0.0018962703 0.0019146645 0.0018310547 0.0033560975 0.002678858 0.0019046313 0.0015133375 0.0014196945 0.0014548106 0.0016538019 0.0014698603 0.0013762173 0.005192169 0.005417915 0.0009999733 0.001322707 0.001287591 0.0011471265 0.0011454544 0.0029280153 0.0019882412 0.00083442585 0.00086118095 0.0008929527 0.00091134687 0.00094646297 0.0008294092 0.0008862639 0.0015735365 0.04833817 0.02829523 0.02678022 0.02624679 0.027584545 0.024599677 0.024184972 0.024909033 0.028107943 0.023435827 0.025898973 0.023088012 0.027032722 0.023375629 0.02457961 0.028474154 1649.0 12.903578 21278.0 0.012360184 0.0012689163 0.00084594416 0.0021148603 0.00136291 0.0015978946 0.0017388852 0.0011279256 0.0015039007 0.0012689163 0.0020208666 0.0015508976 0.007331516 0.0017388852 0.017059874 0.0015978946 0.0108092865 0.0057806186 0.004135727 0.0044647055 0.003289783 0.0058276155 0.0059216092 0.0038067487 0.003148792 0.0025848295 0.001832879 0.0014569039 0.0020208666 0.0061565936 0.0013159132 0.0012219193 0.0014569039 0.009681361 0.0055926307 0.016119936 0.012736159 0.005686625 0.007331516 0.005122662 0.0047936835 0.009070401 0.0015978946 0.0048406804 0.005216656 0.006485572 0.0033367798 0.0039477395 0.009023405 0.0026318263 0.007660494 0.019174734 0.009258389 0.0023968418 0.0048876773 0.002772817 0.002349845 0.0019268729 0.0021618572 0.00084594416 0.00136291 0.00136291 0.0011279256 0.020114673 0.0023968418 0.045727983 0.01348811 0.022464518 0.0227465 0.09808253 0.0076134973 0.018845756 0.008318451 0.043425135 0.0013159132 0.006297584 0.03609362 0.022981483 0.04102829 0.048547797 0.014616035 0.0018798759 0.04756086 0.041451264 0.06701758 0.025096344 0.0076134973 0.008506439 0.0062505873 0.014992011 0.0045117023 0.0029138078 0.0014569039 0.0014569039 0.0015978946 0.00136291 5.561752 0.0 1.0 0.0 3.0 300032.0 327680.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1308751000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 287744.0 512.0 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 -287744.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.102595 0.0 5.0538664 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 -287508.0 0.0 11008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 295608.0 11008.0 303104.0 0.0 0.0 0.0 0.0 12.0 319488.0 28.0 295472.0 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: 0.26150757 0.0072375303 0.0070358827 0.0042645843 0.0059976676 0.002692274 0.0028257978 0.0023571025 0.006662561 0.0020001307 0.0033626177 0.0021472794 0.004575231 0.003120095 0.0015341602 0.0044062827 0.0043054586 0.0014932856 0.001362487 0.0013243373 0.0029974713 0.0024797262 0.0013079875 0.001139039 0.0018502573 0.0013761118 0.0012207882 0.0011826387 0.001664959 0.0014224363 0.001141764 0.0015069105 0.015532351 0.0010954395 0.004259134 0.0012671128 0.00362694 0.0012970875 0.0010518399 0.0015368853 0.0019837809 0.001564135 0.001049115 0.0021036798 0.001354312 0.0015886597 0.0023434774 0.0016186344 0.005646146 0.0020927798 0.0023652774 0.004376308 0.0014932856 0.0014905607 0.0013079875 0.0011254142 0.0016622341 0.0021527293 0.0017848578 0.0033844176 0.0022372035 0.0019946808 0.0020137557 0.0036841647 0.0103930505 0.0041010855 0.0077525508 0.003441642 0.0025424005 0.0072429804 0.0026323248 0.001670409 0.0021336544 0.0037713638 0.0013679368 0.0014142614 0.0018911319 0.004790504 0.0026323248 0.0016486092 0.0060521667 0.003340818 0.0036705397 0.0041038105 0.0019456313 0.004550706 0.0049485527 0.004850453 0.0019265565 0.002812173 0.0017085586 0.001872057 0.0015232604 0.0034934164 0.0025696503 0.0057823947 0.0014224363 0.00880439 0.0020355554 0.005984043 0.006452738 0.013788368 0.00468968 0.0033789675 0.004896778 0.009616433 0.0037195892 0.0015123605 0.0065917117 0.003327193 0.008597292 0.008758066 0.003836763 0.0011581138 0.012281457 0.010627398 0.015439702 0.0089188395 0.0029674964 0.0027876482 0.0022617283 0.0025587503 0.0012752877 0.0010818146 0.001460586 0.002395252 0.0015832098 0.0015341602 0.0030710455 0.0020655303 0.0011989885 0.008553693 0.002207229 0.006259265 0.001354312 0.0011281392 0.0029593215 0.006057617 0.001667684 0.017216384 0.0011962635 0.007924224 0.0010790896 0.0014932856 0.0013924616 0.0009918904 0.0010927145 0.0011226892 0.0011962635 0.0016813088 0.0009700907 0.0008583668 0.0010055153 0.0009837155 0.0010000654 0.0008447419 0.0010654648 0.0011254142 0.0009237661 0.0009237661 0.0013761118 0.0016240844 0.00094011595 0.0013107124 0.0014115365 0.001147214 0.0009292161 0.0010218652 0.0012126133 0.0008474669 0.0008229421 0.001049115 0.0012344131 0.000937391 0.00096191576 0.0010736397 0.0012943626 0.00083111704 0.0009237661 0.000937391 0.0012071634 0.001139039 0.0012207882 0.0016349843 0.0019946808 0.0011662889 0.00096464076 0.0011117894 0.0011226892 0.0012834626 0.0012562129 0.0011826387 0.005283724 0.0027385987 0.0024225018 0.0035070414 0.0027712984 0.001564135 0.003019271 0.003746839 0.0023162276 0.002079155 0.0012235133 0.0010218652 0.009621883 0.0013107124 0.0014033616 0.0011553889 0.0017467082 0.0021500043 0.0016186344 0.001362487 0.0016540592 0.0011335891 0.0014142614 0.0012071634 0.0018175575 0.0010845396 0.00095101586 0.0013652119 0.0015777599 0.0009837155 0.0012153384 0.0009837155 0.0023734523 0.0010899896 0.0011908136 0.0010191402 0.002188154 0.0016922088 0.0012098884 0.0010981645 0.008986964 0.0026595744 0.00095374085 0.0031500699 0.0035233912 0.001147214 0.0011363141 0.0011553889 0.0029647716 0.0015586851 0.0012398631 0.0016949337 0.0023816272 0.0012671128 0.001986506 0.0021145798 0.0036105902 0.001659509 0.0014469611 0.0030056462 0.0040111616 0.0020355554 0.0033435428 0.031963944 0.011197643 1.3677346e-06 0.0 2.7354693e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.3677346e-06 0.0 0.0 0.0 0.0 1.3677346e-06 0.0027149532 2.7354693e-06 2.3251489e-05 0.0 4.103204e-06 1.3677346e-05 8.206408e-06 1.23096115e-05 8.206408e-06 2.7354693e-06 1.3677346e-06 0.0 0.0 4.103204e-06 0.0 5.4709385e-06 0.0025959602 2.7354693e-06 4.103204e-05 0.0 4.103204e-06 1.3677346e-06 0.0001107865 3.55611e-05 0.0 0.0 0.0 0.0 0.0 0.0 9.5741425e-06 0.0 0.009487974 6.838673e-06 0.000268076 2.051602e-05 6.838673e-05 8.206408e-05 0.0007864474 0.00036655288 4.9238446e-05 1.9148285e-05 2.7354693e-06 1.3677346e-06 1.3677346e-06 1.23096115e-05 1.50450805e-05 1.6412816e-05 0.02256215 9.847689e-05 0.0008821888 8.069634e-05 0.00025713412 0.00019148285 0.002407213 0.0012022387 6.428353e-05 2.3251489e-05 4.5135243e-05 1.778055e-05 1.6412816e-05 3.55611e-05 8.069634e-05 4.6502977e-05 0.017176012 0.0001819087 0.00070985424 0.00024072129 0.00034877233 0.00030226936 0.0018409707 0.0010367428 0.0001299348 4.3767508e-05 5.334165e-05 3.9664304e-05 3.0090161e-05 3.1457897e-05 0.00015728948 8.616728e-05 0.03648022 0.00013950893 0.0024673932 0.0006756609 0.0009519433 0.00070985424 0.0070260526 0.0034398525 0.00019285058 8.343181e-05 0.00013130253 0.00013540573 0.00013130253 0.0001107865 0.0003952753 0.00015045081 0.058372177 0.00061000965 0.0045572915 0.0016221332 0.0032866662 0.0017370229 0.012808834 0.0066813836 0.0008274794 0.00039801077 0.0003282563 0.0004144236 0.00048691352 0.0003788625 0.00085209863 0.0018765319 0.03373791 0.00028722428 0.0039869463 0.0017014618 0.004386325 0.0024755995 0.0074938177 0.0056460085 0.0016481202 0.00013540573 0.00020379246 0.00016002495 0.00027081146 0.00015181855 7.932861e-05 0.002061176 0.022780987 0.00038570116 0.009270505 0.0077892486 0.012064787 0.009322479 0.029785156 0.01951347 0.000731738 0.00033099178 0.0003515078 0.00044724921 0.0006783964 0.00033372725 0.00025029544 0.0008096989 0.006167115 7.385767e-05 0.00058539043 0.00090270484 0.0013718378 0.00097245927 0.0030992867 0.0021965818 0.00024755998 0.00013950893 0.00010394783 8.7535016e-05 0.00013950893 0.00012583159 0.00011215424 0.00048144258 0.007399444 0.00059086137 0.00061000965 0.0003282563 0.0012350644 0.00062915793 0.0017041973 0.0009150144 0.00057581626 0.0004581911 0.00038023022 0.00033783045 0.000536152 0.0003515078 0.00033783045 0.00041715906 0.008168111 0.00059359684 0.0006838673 0.0010011818 0.0017739518 0.0015222887 0.0015920431 0.0016891522 0.003189557 0.00057581626 0.00052384235 0.00077687326 0.0012555803 0.00064693845 0.0012049741 0.0056145503 0.04601743 0.008032706 0.0036928833 0.0064078365 0.013547411 0.017319623 0.0067210477 0.009691767 0.030570235 0.0022444525 0.0021637562 0.0028845523 0.02050371 0.004071746 0.01206889 0.029748227 0.023349965 0.00488418 0.0036805738 0.0061507025 0.008228292 0.008209143 0.0059646904 0.008019028 0.014923352 0.0013677346 0.0017903646 0.002025615 0.008753502 0.0036805738 0.006976814 0.01244365 0.013165813 0.01183911 0.011757047 0.011785769 0.011988194 0.011666776 0.012302773 0.011837743 0.012369792 0.011335785 0.011780298 0.011900659 0.012469636 0.0123164505 0.012088038 0.012673428 1583.0 25.776375 40804.0 0.04234879 0.00085775903 0.022644838 0.00063719245 0.014802471 0.00061268505 0.00056367024 0.0027203215 0.002083129 0.0013969218 0.00063719245 0.00093128125 0.0010783257 0.0035535733 0.0066169985 0.005612195 0.014459367 0.006518969 0.009827468 0.002744829 0.0010293109 0.0012743849 0.001470444 0.000980296 0.0017645329 0.0016910107 0.0033330065 0.003847662 0.008381532 0.005685717 0.00801392 0.022571316 0.068547204 0.014018234 0.0061268504 0.0063229096 0.0045828843 0.008136457 0.0019850994 0.002328203 0.002254681 0.009484365 0.00063719245 0.0024507402 0.0030634252 0.0025242623 0.0059552984 0.0020341142 0.007744339 0.0068620723 0.003847662 0.00867562 0.0028428584 0.0060043135 0.012302715 0.020635232 0.0041172435 0.0013969218 0.006518969 0.00095578865 0.00053916284 0.000735222 0.0010048035 0.031001862 0.002009607 0.039456915 0.007303206 0.033918243 0.020194098 0.051048916 0.007131654 0.013601608 0.008994216 0.038991276 0.0014949514 0.0022056662 0.025120087 0.011150868 0.031148907 0.032300755 0.008896187 0.0024262327 0.050044112 0.052519362 0.0589403 0.012302715 0.007646309 0.006518969 0.003725125 0.009067738 0.0011028331 0.00053916284 0.00061268505 0.00068620726 0.0012498775 0.0013233997 5.5813255 0.0 17.0 5.0 6.0 366976.0 380928.0 0.0 233.0 157.0 0.0 1.0 1.0 0.0 0.0 1347099600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 123904.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123904.0 0.0 176128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1929035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4917264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5449586 0.0 5.858106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52765.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123733.0 0.0 176128.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -3.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -2.0 1.0 0.0 2.0 1.0 1.0 -1.0 0.0 0.0 0.0 -3.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 2.0 0.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 -1.0 2.0 -2.0 2.0 -2.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 -3.0 -1.0 0.0 2.0 1.0 -1.0 -2.0 0.0 0.0 2.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 -3.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 3.0 0.0 0.0 0.0 -2.0 1.0 20749.0 163088.0 140.0 159380.0 106384.0 204800.0 0.0 0.0 7552.0 289792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 153328.0 0.0 0.0 652.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.008241853 0.0037833715 0.0035986512 0.003954298 0.0037307942 0.0036790166 0.0039510992 0.004053655 0.0036636232 0.003501093 0.0035004935 0.0038189564 0.0038071615 0.0038879267 0.0039227116 0.0041764025 0.0034783029 0.0036870132 0.003470906 0.0038867272 0.0036078473 0.003673419 0.003780173 0.004075046 0.003611046 0.0038419464 0.0036852139 0.004012673 0.0039191134 0.0040548546 0.0040114736 0.004052456 0.0035396765 0.0036228406 0.0037359921 0.0037675784 0.0035722626 0.0035624667 0.003819956 0.003840747 0.0034067337 0.003564066 0.0035718626 0.0038069615 0.0036164434 0.0037663789 0.0040212693 0.0041336208 0.0038291519 0.0038037628 0.003868735 0.004547243 0.0036740187 0.00376378 0.0039483006 0.004217385 0.003805962 0.0039558974 0.0038525418 0.0041873977 0.003908118 0.003992282 0.0039834855 0.004086841 0.0034495154 0.0039832857 0.003526682 0.0040346636 0.0038323505 0.003940504 0.0036760177 0.0038645368 0.0035784598 0.0036294379 0.0034487157 0.0037207985 0.003865736 0.0037993647 0.0038021635 0.00390332 0.0037251967 0.003545474 0.0036450312 0.003840347 0.003687213 0.0035904546 0.0037401903 0.0038239541 0.0037241972 0.0036216413 0.003696409 0.003935706 0.004106233 0.0039051191 0.0040532555 0.0040712478 0.0037695775 0.003772776 0.0037349924 0.0039213123 0.0038575397 0.0039463015 0.003931508 0.0039794873 0.0038721333 0.0037106029 0.0037517853 0.0037985651 0.0039491 0.0039039198 0.0041140295 0.004333335 0.0039506997 0.003872933 0.0038797301 0.0040996354 0.0043045473 0.0040556546 0.0039502997 0.0042019915 0.0039924816 0.0040080748 0.0039067185 0.004161009 0.004115829 0.004161409 0.0041180276 0.004104833 0.0035614672 0.0038249537 0.0036926107 0.0043719183 0.003573462 0.0038481439 0.0037515853 0.0040492574 0.0036236404 0.0039413036 0.0038261532 0.004802533 0.0036484296 0.004144816 0.0037517853 0.004005876 0.0038551406 0.0038411468 0.0035564692 0.003870534 0.0034437177 0.0037515853 0.003589855 0.0039588963 0.0037587823 0.003988683 0.0037096033 0.0039790873 0.0038457448 0.003940704 0.003824354 0.0040230686 0.0036814155 0.0038043626 0.0036394335 0.0037154008 0.00367102 0.0035766605 0.0036926107 0.0037903686 0.00369441 0.0037000075 0.0034849 0.0036972088 0.00374059 0.0037172001 0.0037809727 0.0039157146 0.0038977223 0.0037559834 0.0037181997 0.0038689347 0.0037469873 0.0037885695 0.003929109 0.004010074 0.004068249 0.003943103 0.003991682 0.0039762887 0.0040758457 0.0040528555 0.00406625 0.00420619 0.0040556546 0.004007275 0.0037201988 0.0041044336 0.0037897688 0.0038815294 0.0038817292 0.004051056 0.0039093173 0.0038867272 0.003705805 0.003843346 0.003915915 0.003988283 0.0039934814 0.003960695 0.004044459 0.003842946 0.0038439455 0.003784571 0.0037869702 0.0037869702 0.003835549 0.0039956803 0.003989083 0.0038745324 0.003901121 0.0040462585 0.004031465 0.0041136295 0.0041460157 0.0042739604 0.004026267 0.0040060757 0.0039742896 0.003994281 0.0038719336 0.003831551 0.0040604523 0.0040766452 0.0043875114 0.003966693 0.0038527418 0.0041228253 0.0039293086 0.003991282 0.0041114306 0.0043157423 0.0041090315 0.0040954375 0.004033864 0.0041302224 0.0039858846 0.0039642937 0.0040508565 0.0042483713 0.004163408 0.0041768025 0.0040534553 0.004157011 0.00420559 0.004124025 0.0041969935 0.005148584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015639399 3.5998617e-06 1.7999308e-06 3.6998579e-06 4.299835e-06 4.7998155e-06 7.599708e-06 4.6998193e-06 4.399831e-06 3.9998463e-07 6.999731e-07 1.4999424e-06 2.5999002e-06 7.9996926e-07 4.399831e-06 3.099881e-06 0.00010519596 9.999616e-07 1.4999424e-05 3.4998657e-06 1.899927e-06 1.7999308e-06 5.2397987e-05 2.3999079e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00065717474 2.2999116e-05 3.9998464e-05 3.2998734e-05 6.279759e-05 4.2098385e-05 0.00019129265 8.8396606e-05 1.5999385e-05 8.59967e-06 3.4998657e-06 3.799854e-06 2.839891e-05 2.499904e-06 3.4998657e-06 2.4699051e-05 0.0004759817 6.379755e-05 3.9098497e-05 8.209685e-05 8.84966e-05 3.6498597e-05 0.000104895975 8.409677e-05 9.89962e-06 5.1998004e-06 2.5999002e-06 5.1998004e-06 3.5998617e-06 2.8998886e-06 2.499904e-06 1.7099343e-05 0.00073847163 5.4597902e-05 6.589747e-05 5.109804e-05 0.00011839545 5.9197726e-05 0.00016769356 0.00015339411 4.8198148e-05 2.3299106e-05 7.999693e-06 1.4899428e-05 2.6198994e-05 1.0299605e-05 6.099766e-06 9.259644e-05 0.00018709281 7.599708e-06 5.2997966e-06 1.3499482e-05 2.5199033e-05 1.799931e-05 3.8398524e-05 1.8299297e-05 1.47994315e-05 3.2998732e-06 4.0998425e-06 6.6997427e-06 3.8398524e-05 3.6998579e-06 1.4099459e-05 1.1099573e-05 0.0002813892 2.1699167e-05 3.589862e-05 2.5999001e-05 6.119765e-05 2.9098883e-05 1.9099267e-05 4.369832e-05 0.00011269567 9.999616e-06 5.699781e-06 1.899927e-05 4.5898236e-05 1.8699282e-05 4.059844e-05 4.849814e-05 0.0034489676 0.00046458215 0.0003701858 0.00050818047 0.00073187187 0.00080036925 0.00030078844 0.0005489789 0.0020658206 0.00034508674 0.00013079497 0.00042138383 0.00080546906 0.00035358642 0.00078566984 0.0012297528 0.0010162609 0.00034128688 0.00026098997 0.00027438946 0.00033248722 0.0003435868 0.00025849006 0.00023569095 0.0006450752 0.0001715934 0.00018289298 0.00015829391 0.0003304873 0.00018859276 0.00025349026 0.0003309873 0.058124367 0.0598695 0.058518752 0.0624381 0.05863205 0.05938002 0.06121065 0.063688256 0.059507914 0.060378682 0.058969636 0.062470403 0.061418142 0.06272179 0.06341156 0.0650947 23045.0 6.112215 140856.0 0.008689726 0.008320554 0.009115692 0.009200886 0.009172488 0.00940677 0.009655251 0.009491963 0.0083560515 0.0091653885 0.008519338 0.009349975 0.008924007 0.009200886 0.012274947 0.010031521 0.014135003 0.012793208 0.010904754 0.01701738 0.010585278 0.010088317 0.011657296 0.011565003 0.009953428 0.0111887315 0.009506162 0.010329698 0.010038621 0.009633953 0.009513262 0.0097191455 0.0076603056 0.00914409 0.008959505 0.0120122675 0.009087295 0.009804339 0.009385471 0.011430113 0.008874311 0.0090304995 0.008696825 0.009136991 0.010067019 0.010003123 0.009307378 0.009548759 0.009080196 0.008703925 0.010074118 0.009712046 0.009456466 0.00837025 0.008945306 0.009861135 0.009115692 0.008725223 0.009307378 0.00992503 0.01906912 0.009832737 0.010748566 0.011011246 0.0088956095 0.011877378 0.00966945 0.014355086 0.01108224 0.015824672 0.012203953 0.010003123 0.009811439 0.012218152 0.009633953 0.009967626 0.011501107 0.010578179 0.013062987 0.014738456 0.011486908 0.009697847 0.012033566 0.013730334 0.014766854 0.010684671 0.010230307 0.010755666 0.010067019 0.010521384 0.009456466 0.009605555 0.010145113 0.009726245 0.010194809 0.009882433 6.56306 1.0 0.0 0.0 59.0 5002152.0 135168.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1190291700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 81920.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -79872.0 -4096.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 4.711663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 -4096.0 16384.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4049.0 114688.0 15360.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0