Input: 0.1387386 0.008406271 0.0040771994 0.0033348994 0.0060788654 0.0038459117 0.0019762367 0.0019096356 0.007678503 0.0014712792 0.0016577623 0.0014664355 0.004455009 0.0013368661 0.0011988201 0.003788998 0.0060037877 0.0014664355 0.0011564376 0.00087308005 0.0024073275 0.0019314323 0.00074835436 0.000805268 0.0022486958 0.00073624507 0.00081011176 0.0006938625 0.00157663 0.0005897226 0.00058003515 0.0005521838 0.0037914198 0.0005727696 0.00063694885 0.00053038704 0.0040590353 0.001287218 0.0004540985 0.000548551 0.0011564376 0.00063815975 0.0005703477 0.00092151726 0.001080149 0.0022886565 0.00066116743 0.00050616846 0.00897662 0.0030963463 0.0064917924 0.010344969 0.0066819084 0.0023443592 0.0062338645 0.0020440489 0.0071856547 0.0023734216 0.00069870625 0.0014494824 0.0016299109 0.00095421233 0.00045530943 0.00051706686 0.011514727 0.0038422788 0.0047940696 0.0086339265 0.0037841543 0.031847443 0.0031968534 0.0026495135 0.00330947 0.0034705235 0.0021409232 0.0023031877 0.0026507245 0.0042915335 0.0011346408 0.0014979197 0.008861581 0.0020973296 0.0020113536 0.009543334 0.003135096 0.013535769 0.0031520491 0.0020501034 0.0018842061 0.00637191 0.0026822085 0.003188377 0.0015318256 0.004536141 0.0023261954 0.0035262264 0.005639298 0.0045482507 0.0020694784 0.0034196645 0.009520327 0.0062314426 0.0042140344 0.0017340508 0.0081883045 0.004373877 0.003941575 0.0015584661 0.0038846615 0.0019047919 0.004660867 0.0041764956 0.0036473193 0.0018720968 0.005141606 0.004011809 0.010452743 0.005670782 0.0020840093 0.0013041709 0.0032283377 0.0012363589 0.0005194887 0.0005776133 0.0016178016 0.0024642413 0.0010401884 0.00085612707 0.0051319185 0.0011334299 0.0010656179 0.008870058 0.0030551748 0.0031581037 0.0010123369 0.0006054647 0.00260592 0.014865369 0.0021857275 0.050626535 0.0011709686 0.010766373 0.000839174 0.0006660111 0.0025998654 0.00043472365 0.0007120265 0.0006321051 0.0010995239 0.0009166735 0.0014797557 0.0005558166 0.001149172 0.00057640235 0.0004892155 0.0006974953 0.0009360484 0.0004662078 0.00045530943 0.00041050505 0.0008779238 0.0032586108 0.00045652036 0.0024969364 0.0013937796 0.0008004243 0.0005521838 0.00044320014 0.0010244462 0.00044804387 0.0004989029 0.00047710616 0.00082948664 0.0004407783 0.0007265576 0.0006442144 0.0012969053 0.0006708549 0.0016940902 0.00052554335 0.00085975986 0.00065632374 0.0006974953 0.0015463568 0.003084237 0.0024811942 0.0045530945 0.00080647896 0.0009796418 0.0004698406 0.0008355413 0.00069991715 0.011744804 0.0011249534 0.0022390084 0.010131846 0.004266104 0.0010365555 0.0034826328 0.0032973606 0.0018309252 0.0017279962 0.0009626888 0.0012751087 0.0016468639 0.000874291 0.00097116537 0.00092272816 0.0028141998 0.0011261643 0.002912285 0.0013247568 0.0017752225 0.00075198716 0.0015705754 0.000857338 0.0032973606 0.00064058165 0.001063196 0.001749793 0.0014652245 0.00070354994 0.0005509729 0.0008246429 0.0023879528 0.0006442144 0.00085975986 0.0009699544 0.002381898 0.002380687 0.0005388636 0.00067933137 0.027030366 0.0058996477 0.0010704616 0.005776133 0.006396129 0.0010208135 0.0006660111 0.0007386669 0.0070912023 0.0009566342 0.0017788552 0.00089972053 0.008946346 0.002125181 0.004010598 0.002539319 0.009856965 0.0029897846 0.0030091596 0.0035371247 0.014577168 0.0039125127 0.0042116125 0.06749115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008887932 0.0 0.0 0.0013811383 0.00091105397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010876844 0.0 0.0 0.0024450456 0.0015849427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010157463 0.0 0.0 0.004273826 0.0029600156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027216373 0.0 0.0 0.0020738305 0.0014157123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053923234 3.6393633e-06 1.7590257e-05 6.550854e-05 0.00014557454 7.400039e-05 6.0656057e-06 7.2787266e-06 1.5164014e-05 0.0 0.0 1.8196816e-06 7.885287e-06 3.0328029e-06 4.8524844e-06 0.00035059202 0.005963097 0.0002013781 0.00020865683 0.00053862575 0.0018688131 0.00047736315 0.002393488 0.0010414645 0.00019046002 9.826281e-05 9.037752e-05 7.339383e-05 0.00065690506 0.00037182163 0.0003918381 0.002825359 0.01303074 0.00062718365 0.00092500483 0.0020356171 0.00403848 0.003529576 0.006813495 0.0031389508 0.00044400233 0.00023049301 0.00030388683 0.0003232968 0.0020368304 0.0010802844 0.0010972681 0.008792095 0.020315534 0.0012743837 0.001206449 0.0020325845 0.0071562016 0.0025050952 0.0065447884 0.0031850494 0.002339504 0.0009535132 0.0009553329 0.0013065315 0.003969332 0.0025918332 0.002615489 0.009371361 0.019782366 0.0015279261 0.0012240392 0.002218192 0.009222147 0.0039559877 0.005757473 0.0033336568 0.005685292 0.001382958 0.0017402222 0.0022551923 0.0037788723 0.0017341566 0.0039572013 0.009462952 0.07244092 0.009608526 0.0071258736 0.00986692 0.041168477 0.029953174 0.020851733 0.013656104 0.05038092 0.005178814 0.005926703 0.008948588 0.01643112 0.006923282 0.026858501 0.05977351 0.058978915 0.009914839 0.008924932 0.011423961 0.027523292 0.029956812 0.017296074 0.014300272 0.048763223 0.005760506 0.00634523 0.008956473 0.020651568 0.010705794 0.024551146 0.047499757 0.00022867334 4.670516e-05 8.431192e-05 5.0951086e-05 8.855784e-05 9.704969e-05 4.245924e-05 6.429542e-05 0.00013162364 2.8508346e-05 3.275427e-05 2.8508346e-05 8.249224e-05 5.8836373e-05 7.157415e-05 0.000104934974 5347.0 19.775576 105740.0 0.0044259503 0.000104028746 0.00045394365 7.565727e-05 0.0027236617 0.0004634008 0.000104028746 0.00014185738 0.0003215434 0.00033100057 0.00059580104 0.00047285797 0.00040665784 0.0115850195 0.0009173444 0.00037828635 0.046992622 0.017164744 0.04683185 0.013391337 0.043805562 0.014989597 0.045526765 0.012540193 0.046548136 0.014800454 0.0006714583 0.00041611498 0.00077548705 0.00043502933 9.457159e-05 0.00011348591 0.0011064876 0.0069320975 0.006014753 0.011793077 0.0057972386 0.013107622 0.0038396067 0.00249669 0.0040003783 0.014299224 0.0019954606 0.0032438056 0.005541895 0.005418952 0.0036031776 0.00749007 0.0104879895 0.002127861 0.00486098 0.016635142 0.01062039 0.0050879517 0.0047947797 0.0028371478 0.002260261 0.004350293 0.0012388878 0.00243049 0.00094571593 0.002269718 0.0023642897 0.018034803 0.00020805749 0.026602989 0.013173822 0.02343484 0.024522413 0.04450539 0.011897106 0.009816531 0.01894269 0.029752223 0.008416872 0.0069888406 0.022810668 0.011045962 0.0330244 0.029250992 0.019292604 0.0037166635 0.03384717 0.0248345 0.03698695 0.010639304 0.01108379 0.006307925 0.014601854 0.005428409 0.0008511443 0.00023642898 0.00044448648 0.00020805749 0.00024588613 0.0002553433 5.6534386 0.0 2.0 14.0 4.0 825812.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6091995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24142796 0.0062481915 0.004905418 0.0064697266 0.0035490813 0.0031240957 0.0020118996 0.0026448567 0.008101852 0.0010082104 0.0011800131 0.0012568721 0.003648546 0.0007776331 0.0020118996 0.0022786458 0.015769675 0.0054796007 0.0025906032 0.0021204066 0.0013246889 0.0152768735 0.0011257596 0.00034360532 0.0041051796 0.00023509839 0.00030291523 0.00027578848 0.0008951823 0.00096752023 0.0005244502 0.00061487267 0.0063928673 0.00019440828 0.00022153501 0.00024866176 0.0016728154 0.001175492 0.00034360532 0.0020164207 0.005077221 0.0002803096 0.00019440828 0.0001401548 0.006153248 0.000293873 0.0004385489 0.00023057725 0.003164786 0.0005606192 0.0008499711 0.001401548 0.0012433088 0.0010443793 0.00024414062 0.00020797165 0.003273293 0.000479239 0.0002622251 0.00061487267 0.0022967304 0.0025725188 0.00018988716 0.0002396195 0.037371602 0.0011619285 0.0017994068 0.004796911 0.0027804906 0.012794777 0.0012387877 0.00019440828 0.0012794777 0.0010036892 0.0002396195 0.00028483072 0.0019712094 0.009019639 0.0008951823 0.00069173175 0.024622034 0.012392397 0.01216182 0.0043312353 0.0027081524 0.0060537835 0.004380968 0.0010986328 0.0006600839 0.00013563369 0.00015371817 0.00033004195 0.004340278 0.0008997034 0.00044759116 0.00173159 0.0009901258 0.003802264 0.0019983363 0.001143844 0.0037434895 0.006713867 0.0026267723 0.00042950665 0.013025355 0.0026086878 0.008829753 0.00027126737 0.005416305 0.0017361111 0.0022560402 0.002653899 0.0028889973 0.00016728154 0.0041503906 0.0017587168 0.005863896 0.003241645 0.00094491465 0.0018536603 0.0026674625 0.0013744213 0.00040237993 0.0002396195 0.0020435473 0.007125289 0.0014241537 0.0019486039 0.0048782914 0.0005244502 0.00011754919 0.003616898 0.0017994068 0.016777886 0.000108506945 9.494358e-05 0.0017632379 0.012948495 6.781684e-05 0.026914243 0.0010941117 0.042222764 8.138021e-05 0.00014919705 0.0053665726 0.0011574074 0.0010489004 0.00017180266 0.0017361111 0.0067726416 0.00012659143 0.000108506945 0.0015190972 0.0001808449 0.0002396195 0.00015371817 0.00094039354 0.0007324219 0.00021701389 7.233796e-05 0.0015869141 0.0012387877 0.000108506945 9.94647e-05 0.0012116609 5.8774596e-05 7.685908e-05 0.0003209997 0.0017632379 7.233796e-05 0.001143844 6.781684e-05 0.004281503 0.00017632378 6.3295716e-05 9.94647e-05 0.0026584202 9.494358e-05 9.042245e-05 0.00019440828 0.002138491 0.0003390842 9.042245e-05 0.00017180266 0.0027352793 0.00034360532 0.00028935185 0.00012207031 0.0014241537 0.0018672236 0.00012659143 0.00018536604 0.0073151765 0.00012207031 0.0003978588 0.00068721065 0.0040780525 7.233796e-05 0.00017632378 0.0080928095 0.0017948857 0.00013563369 6.781684e-05 0.00018536604 0.0016728154 8.138021e-05 9.494358e-05 0.00019440828 0.0058367695 0.00020345052 0.00011754919 0.0020390262 0.0013834635 6.781684e-05 0.004634151 0.00511339 0.0016321252 0.00025318286 9.042245e-05 0.004683883 0.0017044633 9.94647e-05 4.0690105e-05 0.00018988716 0.0012659143 6.3295716e-05 0.004593461 6.3295716e-05 0.00021249277 0.0002622251 0.000103985825 8.138021e-05 0.0010353371 0.0007143374 6.781684e-05 0.00076859083 0.0015371817 4.973235e-05 0.00011754919 5.8774596e-05 0.0022289136 7.233796e-05 0.000113028065 4.0690105e-05 0.000479239 2.7126736e-05 0.00017180266 0.00022605613 0.00075502746 6.3295716e-05 0.003793222 0.0051405164 0.011940285 0.0018536603 0.0074282046 0.10583948 0.041801415 0.0 0.0 2.2710756e-06 6.8132267e-06 1.3626453e-05 1.5897529e-05 1.8168605e-05 0.0 0.0 0.0 0.0 2.2710756e-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 0.004233285 3.8608287e-05 5.4505814e-05 1.1355378e-05 5.223474e-05 2.9523982e-05 7.267442e-05 3.4066135e-05 2.4981831e-05 2.2710756e-06 6.8132267e-06 1.5897529e-05 4.9963663e-05 9.084302e-06 1.1355378e-05 4.542151e-06 0.003935774 4.542151e-06 4.542151e-06 0.0001021984 2.2710756e-06 0.0 0.0 7.494549e-05 2.9523982e-05 0.0 0.00033157703 3.1795058e-05 4.542151e-06 0.0 4.542151e-06 0.00012490916 0.0077080308 2.4981831e-05 0.00019304143 6.813227e-05 0.0003974382 0.00019985465 0.00025208938 0.00012718023 4.9963663e-05 9.9927325e-05 5.223474e-05 1.8168605e-05 1.5897529e-05 1.1355378e-05 4.3150438e-05 4.087936e-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 0.006997184 0.00014307776 0.00023846293 5.4505814e-05 0.00037472747 0.00012718023 0.00046102834 9.31141e-05 0.00013626454 0.00017941497 9.084302e-05 4.087936e-05 5.223474e-05 4.542151e-05 0.00012718023 0.00014080669 0.016855923 0.00023619186 0.0010742188 0.00043150436 0.0014898255 0.00077670784 0.0037404615 0.00219613 0.0001021984 0.00014761991 0.00042469113 8.857195e-05 5.223474e-05 4.542151e-05 6.3590116e-05 0.00018168605 0.04851699 0.00066542515 0.0055050873 0.0033725472 0.0051848656 0.002368732 0.014871003 0.0064089755 0.00016805959 0.00021121003 0.00022710756 0.00017487282 0.00015443315 0.0001294513 9.084302e-05 0.00032249273 0.015427416 0.0022165698 0.0009970022 0.00075172604 0.0014239644 0.0003520167 0.0024822857 0.00085165334 0.0011968568 0.0001953125 0.00019758358 0.00026571585 0.00024300508 0.0001862282 0.00016805959 0.00095158065 0.03416379 0.0034179688 0.0024096111 0.0022937863 0.004866915 0.0017578125 0.008228106 0.0038835392 0.0021552506 0.0005019077 0.0009220567 0.00067223836 0.00074945495 0.00073809957 0.00046784157 0.0025390624 0.007985102 0.001592024 0.0010560502 0.00069267803 0.0022029432 0.0024822857 0.0018986192 0.0011605197 0.0059388625 0.0012286518 0.0008630087 0.0010401526 0.0007063045 0.0018145894 0.00042696221 0.010771711 0.02947629 0.015320675 0.007212936 0.0019849201 0.013612827 0.01845476 0.0069631175 0.005446039 0.036584757 0.0077693495 0.0011241824 0.0018554687 0.006370367 0.0052371 0.0019122456 0.06393078 0.02132767 0.009309139 0.0034929141 0.002157522 0.0121865915 0.013351654 0.005459666 0.004542151 0.0227857 0.003933503 0.0018963481 0.002100745 0.004517169 0.0042537246 0.0019304142 0.030941134 0.049334574 0.019186046 0.0028978924 0.006797329 0.036030613 0.036859557 0.01399891 0.013401617 0.0444881 0.006368096 0.006284066 0.006611101 0.012318314 0.015740825 0.0057889717 0.03087073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 719.0 9.079277 6528.0 0.0081188725 0.00045955883 0.00015318628 0.0013786765 0.00091911765 0.0 0.00015318628 0.0 0.00903799 0.00030637256 0.00015318628 0.00015318628 0.001072304 0.00015318628 0.0029105393 0.0 0.0022977942 0.0036764706 0.0030637255 0.005514706 0.0068933824 0.0019914217 0.0024509805 0.0 0.0029105393 0.007352941 0.001072304 0.00030637256 0.007352941 0.005514706 0.0 0.0 0.03584559 0.004442402 0.0030637255 0.019607844 0.005974265 0.0058210786 0.023590686 0.00091911765 0.009803922 0.008578432 0.0 0.001072304 0.009191177 0.019914215 0.006127451 0.005055147 0.005055147 0.00030637256 0.002757353 0.010569853 0.0070465687 0.00045955883 0.011335785 0.00015318628 0.00030637256 0.0 0.0 0.0 0.0012254902 0.0 0.00015318628 0.044577207 0.00015318628 0.06541054 0.05545343 0.0064338236 0.042126227 0.071078435 0.0039828434 0.005055147 0.037224263 0.031096814 0.028492646 0.00091911765 0.093596816 0.01439951 0.013020833 0.02221201 0.03707108 0.0007659314 0.04319853 0.012867647 0.031403188 0.0062806373 0.022365196 0.0075061275 0.01317402 0.009344363 0.004289216 0.00015318628 0.0 0.0022977942 0.00030637256 0.0 5.2420335 2.0 0.0 0.0 1.0 221184.0 221184.0 0.0 0.0 87.0 0.0 1.0 0.0 0.0 0.0 1542186400.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 208896.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208896.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7840347 0.0 3.5827525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -205856.0 0.0 1640.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 208036.0 1640.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 452.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.5834456 0.020743534 0.01016972 0.00626347 0.008149246 0.0024919182 0.010102371 0.0014143318 0.0074757542 0.0022225215 0.0018184268 0.001481681 0.0016163794 0.0006734914 0.0012796336 0.0025592672 0.0055899783 0.0014143318 0.0012796336 0.0009428879 0.0028286637 0.0011449354 0.001481681 0.0006061422 0.002963362 0.0012796336 0.0026939656 0.0008081897 0.0010775862 0.0005387931 0.0015490302 0.001953125 0.008081896 0.0023572198 0.0013469828 0.0016837284 0.0006734914 0.00047144396 0.0003367457 0.00026939655 0.0021551724 0.0008755388 0.0018184268 0.0006734914 0.0005387931 0.00026939655 0.006398168 0.0006061422 0.00390625 0.0022225215 0.0006061422 0.0010775862 0.0012796336 0.0011449354 0.0008755388 0.0005387931 0.0021551724 0.0016163794 0.0007408405 0.0022225215 0.00047144396 0.00026939655 0.0003367457 0.0006061422 0.0017510776 0.0034348061 0.0025592672 0.002963362 0.009496229 0.0016163794 0.0006734914 0.0006734914 0.0028286637 0.0028286637 0.0022898708 0.0008081897 0.0012796336 0.002963362 0.0013469828 0.0021551724 0.0023572198 0.001010237 0.0016837284 0.0035695042 0.001010237 0.0008755388 0.0013469828 0.0016163794 0.0009428879 0.00047144396 0.0003367457 0.00047144396 0.0008755388 0.0003367457 6.734914e-05 0.0020878233 0.0017510776 0.0047817887 0.0022225215 0.0041756467 0.0024245689 0.012257543 0.002020474 0.0033674568 0.0018857758 0.009563577 0.00020204742 0.0013469828 0.0041082976 0.0035021552 0.006330819 0.00936153 0.00390625 0.0003367457 0.007341056 0.007745151 0.011584052 0.0030307113 0.0012122844 0.0005387931 0.0016837284 0.0033674568 0.00020204742 0.0007408405 0.00020204742 0.0008755388 0.00047144396 0.00013469828 0.0056573274 0.00020204742 0.00020204742 0.0006061422 0.00047144396 6.734914e-05 0.0018857758 0.00020204742 0.0014143318 0.0016163794 0.0003367457 0.0006734914 0.00047144396 0.00013469828 0.00026939655 0.00040409484 0.001481681 0.00013469828 0.0003367457 0.00013469828 0.00020204742 6.734914e-05 0.00047144396 0.0008081897 0.0008755388 0.00047144396 6.734914e-05 6.734914e-05 0.00020204742 0.00013469828 0.00013469828 0.0003367457 0.007947198 0.00040409484 0.00040409484 0.00040409484 0.00040409484 6.734914e-05 0.0003367457 6.734914e-05 0.0012122844 0.0006061422 0.0018857758 0.0021551724 0.0014143318 0.0003367457 0.0011449354 6.734914e-05 0.0007408405 0.00013469828 0.0 6.734914e-05 0.00047144396 0.0003367457 0.00047144396 0.00020204742 0.0012796336 0.00040409484 0.00040409484 6.734914e-05 0.0006061422 0.00020204742 6.734914e-05 0.0003367457 0.0006061422 0.00020204742 0.0 0.0018184268 0.00020204742 0.0007408405 0.00020204742 0.00013469828 0.0010775862 0.00040409484 0.00040409484 0.00013469828 0.009900323 0.0003367457 0.0 0.00013469828 0.0018184268 0.00013469828 6.734914e-05 0.00047144396 0.00047144396 0.00013469828 0.00013469828 0.00026939655 0.0009428879 0.00020204742 0.00020204742 0.00026939655 0.00013469828 0.0 0.0003367457 0.00013469828 0.001010237 0.0 0.00040409484 0.00020204742 0.0006061422 0.00013469828 0.00020204742 0.00040409484 0.0030307113 0.00020204742 0.00020204742 0.0005387931 0.00013469828 0.00013469828 0.00047144396 0.00013469828 0.0008081897 0.00020204742 0.00047144396 0.00026939655 0.00020204742 0.00026939655 0.00040409484 0.00013469828 0.00047144396 0.00013469828 0.00020204742 6.734914e-05 0.00047144396 0.0005387931 0.0006061422 0.009630927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.072753906 0.000788762 0.00018780048 0.00011268029 0.0010516827 0.0 0.0 0.00018780048 0.00011268029 0.0 0.0009765625 7.5120195e-05 0.0 3.7560098e-05 3.7560098e-05 0.00060096156 0.071777344 0.00067608175 0.00056340144 0.00030048078 0.001164363 7.5120195e-05 0.00056340144 0.00045072116 0.0002629207 0.0 0.00067608175 3.7560098e-05 7.5120195e-05 0.0 0.00015024039 0.00015024039 0.06693209 0.0016902044 0.001990685 0.00037560097 0.0010516827 7.5120195e-05 7.5120195e-05 0.00033804087 0.0020282452 0.00011268029 0.00067608175 0.00015024039 0.0 7.5120195e-05 0.00015024039 0.0012019231 0.13010818 0.0030423678 0.0024038462 0.0021784855 0.0039438102 0.00075120194 0.0025916467 0.0012394831 0.0021409255 0.0002629207 0.0016902044 0.0002629207 0.0005258414 0.00045072116 0.0013897235 0.0008638822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052170973 0.0009390024 0.0020282452 0.0021784855 0.0033804087 0.0014272836 0.0070237378 0.0032677283 0.00067608175 0.00033804087 0.00056340144 0.00037560097 0.000788762 0.00033804087 0.0012019231 0.00022536058 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0920598 0.005934495 0.0065354565 0.004356971 0.009465144 0.003155048 0.008375902 0.004206731 0.0022536058 0.0018028846 0.003493089 0.0017277644 0.001953125 0.0016902044 0.0013146034 0.0055213342 0.10021034 0.005558894 0.0078125 0.0052584135 0.012770433 0.0104417065 0.042255107 0.029747596 0.0039438102 0.0022536058 0.001990685 0.0013521635 0.0012770433 0.0016902044 0.002366286 0.0018404447 0.034705527 0.005033053 0.0037560095 0.0034179688 0.0034555288 0.0022911658 0.0073242188 0.00386869 0.002741887 0.00060096156 0.00060096156 0.00075120194 0.006159856 0.00075120194 0.0007136418 0.00075120194 0.030498799 0.0057466947 0.0037560095 0.0018028846 0.0060096155 0.0013897235 0.006986178 0.0037560095 0.0012019231 0.00041316106 0.0024414062 0.00075120194 0.0062725362 0.00075120194 0.00041316106 0.004732572 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 95.0 17.31579 1645.0 0.0072948327 0.0 0.0 0.0036474164 0.0 0.0 0.0 0.0 0.0024316108 0.0018237082 0.0006079027 0.0012158054 0.0 0.0 0.027355623 0.0 0.0072948327 0.007902736 0.0012158054 0.0030395137 0.0024316108 0.0 0.0030395137 0.0012158054 0.0012158054 0.0024316108 0.0024316108 0.0012158054 0.0012158054 0.0 0.0012158054 0.0006079027 0.0 0.018237082 0.0024316108 0.019452887 0.0072948327 0.004255319 0.0024316108 0.0012158054 0.0012158054 0.0036474164 0.0 0.0018237082 0.0006079027 0.015197569 0.0060790274 0.0030395137 0.009726443 0.0 0.009118541 0.0218845 0.0036474164 0.005471125 0.0018237082 0.0060790274 0.0 0.0 0.0018237082 0.0 0.0030395137 0.0006079027 0.0 0.015197569 0.0006079027 0.032218844 0.018844984 0.02917933 0.013981763 0.09179331 0.01337386 0.0218845 0.009726443 0.065045595 0.0006079027 0.010334346 0.024924012 0.023708208 0.043161094 0.06200608 0.021276595 0.0 0.050455928 0.05835866 0.09179331 0.02431611 0.00668693 0.0030395137 0.009726443 0.025531914 0.0 0.0 0.0012158054 0.0 0.0 0.0 5.116584 0.0 0.0 0.0 1.0 14848.0 28672.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 4085776600.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 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 -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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8451233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1999044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4601048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.078021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1080.0 12288.0 252.0 14540.0 0.0 0.0 224.0 24576.0 56.0 20476.0 0.0 0.0 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 13376.0


Input: 0.15386963 0.012161255 0.004501343 0.00440979 0.015579224 0.0037078857 0.0034179688 0.0019378662 0.020431519 0.0015258789 0.0012207031 0.001159668 0.008834839 0.0011749268 0.0011749268 0.0028381348 0.006790161 0.0006713867 0.0006713867 0.0005187988 0.0018463135 0.006149292 0.0007019043 0.00050354004 0.0019073486 0.0019226074 0.0004272461 0.0005645752 0.0020751953 0.00018310547 0.00039672852 0.0004272461 0.003982544 0.0008087158 0.0018005371 0.00038146973 0.005432129 0.0043640137 0.00033569336 0.000289917 0.0014801025 0.0007171631 0.0002746582 0.001953125 0.0010528564 0.00024414062 0.0012817383 0.00047302246 0.0050201416 0.0029907227 0.0031738281 0.0058135986 0.0030212402 0.0019073486 0.0025024414 0.001373291 0.0032043457 0.0029907227 0.0020141602 0.0048065186 0.0028076172 0.0020446777 0.0025177002 0.0064697266 0.015090942 0.004714966 0.0024871826 0.0009765625 0.003479004 0.014846802 0.003189087 0.0021362305 0.0035552979 0.00289917 0.0016937256 0.00048828125 0.0012054443 0.013153076 0.0025787354 0.0008239746 0.009170532 0.0045318604 0.0013122559 0.0024719238 0.002609253 0.008468628 0.0059814453 0.0050354004 0.0023651123 0.004043579 0.0015106201 0.00061035156 0.0011138916 0.006072998 0.0030670166 0.006652832 0.00079345703 0.00642395 0.0014953613 0.004119873 0.0045318604 0.0063171387 0.027145386 0.0013122559 0.0042266846 0.005050659 0.0053253174 0.0008392334 0.0046081543 0.001876831 0.0033569336 0.004043579 0.0022583008 0.00050354004 0.0059051514 0.0069274902 0.013046265 0.013793945 0.0017242432 0.00076293945 0.0020599365 0.0011901855 0.00079345703 0.0005950928 0.000869751 0.002243042 0.001159668 0.00038146973 0.002609253 0.0007171631 0.00022888184 0.008285522 0.0015106201 0.0033874512 0.00036621094 0.0001373291 0.0014801025 0.010910034 0.0014953613 0.04559326 0.00091552734 0.019882202 0.00019836426 0.00018310547 0.0006866455 0.0001373291 0.00036621094 0.0019073486 0.0007171631 0.0004119873 0.00019836426 0.00030517578 0.0012512207 0.0005493164 0.0001373291 0.00024414062 0.000869751 0.00022888184 0.000289917 0.0005187988 0.0015106201 0.001083374 0.000579834 0.0010375977 0.0012664795 0.0009613037 0.0007324219 0.0005645752 0.0012512207 0.0005493164 0.0008544922 0.0004272461 0.001739502 0.00047302246 0.00061035156 0.0005340576 0.0022888184 0.00016784668 7.6293945e-05 0.00032043457 0.0012817383 0.00048828125 0.0005187988 0.02381897 0.0059051514 0.0002746582 0.00039672852 0.0004119873 0.0008392334 0.0002593994 0.00021362305 0.00016784668 0.015731812 0.0061798096 0.006149292 0.0077667236 0.0034942627 0.00064086914 0.0073242188 0.002029419 0.0039520264 0.0030822754 0.0005645752 0.0011291504 0.0027770996 0.0004272461 0.0027770996 0.0015106201 0.0019073486 0.00061035156 0.0008239746 0.00033569336 0.0016021729 0.0002593994 0.00077819824 0.00047302246 0.002105713 0.0005493164 0.00047302246 0.000869751 0.0011901855 0.00035095215 0.0005187988 0.00044250488 0.002105713 0.0006866455 0.0005645752 0.00064086914 0.0018157959 0.0005187988 0.000869751 0.00064086914 0.016281128 0.003967285 0.0010070801 0.003616333 0.008666992 0.0005493164 0.0006713867 0.0008392334 0.0036010742 0.0029296875 0.0005187988 0.00077819824 0.0015106201 0.00050354004 0.0012817383 0.0010528564 0.0022735596 0.001449585 0.00074768066 0.00077819824 0.010665894 0.001663208 0.0033111572 0.0710907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03797743 0.0006355407 0.0018678695 0.0012400794 0.0016973587 0.000922309 0.0074249753 0.0026584202 0.00027126737 0.0006045387 0.0010463169 0.002356151 0.0004030258 0.00050378224 0.00055803574 0.0033249627 0.036923364 0.0013950893 0.0012245784 0.0003875248 0.00048828125 0.00031001985 0.004921565 0.00027126737 0.00034877233 0.0015345982 0.0033637153 0.0048828125 0.000891307 0.0012400794 0.0002480159 0.0050610737 0.02656095 0.0004960318 0.0027436756 0.006843688 0.014741443 0.010695685 0.025134858 0.014973958 0.00045727927 0.00088355655 0.001030816 0.0027204242 0.0012710814 0.00026351688 0.0007983011 0.0014958457 0.025189113 0.0017283607 0.0023018974 0.018453931 0.0068049356 0.0056036087 0.011269221 0.0064251614 0.0023328993 0.0013408358 0.0014958457 0.002046131 0.0024181549 0.0011548239 0.002921937 0.00375124 0.003968254 0.0005967882 0.0015423488 0.008959574 0.0049913195 0.0021623883 0.0036504837 0.0022553944 0.00036427332 0.00036427332 0.00054253475 0.0003952753 0.00055803574 0.00048053075 0.00051153277 0.0004030258 0.06349207 0.011788504 0.007362971 0.0075334823 0.02532087 0.02718874 0.012858073 0.017678881 0.05611359 0.0020926339 0.0028831845 0.009928386 0.03200955 0.004410032 0.021678137 0.046867248 0.040511843 0.00921534 0.007851252 0.0062236483 0.019949777 0.018802704 0.01702009 0.010494172 0.039326016 0.0018988715 0.0037434895 0.015400236 0.028421069 0.0051850816 0.01701234 0.04465836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 305.0 27.704918 8450.0 0.011360947 0.0007100592 0.00295858 0.00047337278 0.019881656 0.00082840235 0.000591716 0.00023668639 0.0018934911 0.00023668639 0.0007100592 0.00047337278 0.0014201184 0.0007100592 0.0050887573 0.0018934911 0.01443787 0.013136094 0.012544379 0.0076923077 0.0074556214 0.004970414 0.007810651 0.0034319526 0.008284024 0.0063905325 0.0063905325 0.006153846 0.0101775145 0.006745562 0.010295858 0.039408285 0.09656805 0.022840237 0.0052071004 0.0028402368 0.018579882 0.0079289945 0.0021301776 0.0076923077 0.0057988167 0.010650887 0.00094674557 0.00094674557 0.0027218936 0.0013017751 0.007100592 0.0015384615 0.012662722 0.006745562 0.001183432 0.0037869823 0.004023669 0.00852071 0.012899408 0.016094675 0.012189349 0.002366864 0.009230769 0.0007100592 0.002366864 0.0 0.00082840235 0.039053254 0.0016568047 0.04473373 0.009112426 0.028757397 0.025088757 0.03076923 0.004970414 0.0075739645 0.01076923 0.030650888 0.0010650888 0.0020118344 0.024615385 0.010532544 0.019881656 0.026272189 0.008757397 0.0010650888 0.03633136 0.044615384 0.062011834 0.008402367 0.0027218936 0.00082840235 0.006863905 0.003550296 0.001183432 0.000591716 0.0007100592 0.0003550296 0.000591716 0.0007100592 5.6023216 0.0 0.0 0.0 2.0 65536.0 77824.0 1.0 1.0 115.0 1.0 1.0 0.0 0.0 0.0 1518779600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 41472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.605924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.003484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.623594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.332943 0.0 4.4639907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3530.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16066.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41252.0 0.0 1688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 82.0 65136.0 100.0 58836.0 1688.0 69632.0 0.0 0.0 0.0 0.0 3492.0 73728.0 28.0 49680.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 51272.0 0.0 0.0 476.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.1709726 0.018937895 0.015315961 0.0050496934 0.009499852 0.005167128 0.004289458 0.0033747032 0.012540793 0.00167499 0.0016626286 0.001483386 0.008535651 0.0051362244 0.00096420094 0.0078557655 0.03875346 0.0016564478 0.0009827432 0.000908574 0.003924792 0.001817148 0.0012732397 0.00087767007 0.0031212915 0.0009827432 0.00087148935 0.0006304391 0.002280706 0.00060571596 0.0005068236 0.0012299743 0.0068730223 0.0005995352 0.008758158 0.0022621637 0.0038011768 0.0012237935 0.0005253659 0.0007046084 0.0014648438 0.0005995352 0.0005809929 0.001483386 0.0014772053 0.0031707378 0.00084058545 0.00046355816 0.0060077137 0.0032325455 0.0025773833 0.007818681 0.003980419 0.00454287 0.0025402987 0.0021261866 0.0034797764 0.0031521954 0.002503214 0.0048580896 0.0033437994 0.0030038569 0.002830795 0.0027628066 0.0045181466 0.0025217563 0.0016317246 0.0017986057 0.0034241495 0.012806566 0.0029791337 0.0023548754 0.0030162183 0.0017986057 0.0010136472 0.00056863134 0.0026700948 0.005587421 0.001291782 0.0013350474 0.008943582 0.0018418711 0.0023054292 0.003603392 0.002255983 0.0065021757 0.0057604825 0.004017504 0.0015637361 0.0036219344 0.000550089 0.0020396558 0.005062055 0.007837223 0.004202927 0.0027133604 0.0017367979 0.004839547 0.0011063588 0.0025959257 0.0038753462 0.0073303995 0.0038259 0.0010878164 0.0058161095 0.0035415844 0.005828471 0.001347409 0.0034488726 0.0016997132 0.0041905656 0.0050682356 0.0028616989 0.00056245056 0.005309286 0.0042770966 0.013863479 0.013603887 0.002089102 0.0010569126 0.001539013 0.0018913172 0.0008220431 0.00035848498 0.001817148 0.0031460146 0.0013535898 0.002033475 0.0034303302 0.0022436215 0.00071696995 0.012231754 0.002886422 0.0086469045 0.00043265428 0.0003275811 0.0021632714 0.011496242 0.0016688093 0.04267207 0.0011928896 0.0071820607 0.00040793116 0.00045737738 0.001817148 0.0003275811 0.00021632714 0.00038320807 0.001100178 0.0011063588 0.00024723102 0.00021632714 0.0010569126 0.00038320807 0.00026577333 0.00040793116 0.0009023932 0.0005068236 0.00024105023 0.0002534118 0.0010198279 0.0023610562 0.00030285798 0.0016440862 0.0009332971 0.00056245056 0.00031521954 0.00030285798 0.00095802016 0.00038320807 0.00028431567 0.00049446203 0.0008591278 0.00024105023 0.00038320807 0.00028431567 0.0014648438 0.0002966772 0.00025959258 0.0002534118 0.0009456586 0.00072315073 0.0010569126 0.00092093553 0.0018913172 0.0005871737 0.0005995352 0.00042029272 0.0012176128 0.0007849585 0.00080350076 0.00069224683 0.009203174 0.0036961036 0.002447587 0.0063105715 0.0036775614 0.00068606605 0.002781349 0.006631972 0.0032572686 0.0020581982 0.00073551224 0.0008591278 0.030223992 0.0005562698 0.0025341178 0.0012299743 0.0029544106 0.0012299743 0.0014277591 0.0010816357 0.0013721321 0.0011063588 0.0009271163 0.0005068236 0.0025402987 0.0014092168 0.0005871737 0.0013103244 0.0015822785 0.0008467662 0.00076641614 0.0006304391 0.0032634493 0.0045305085 0.0007849585 0.00038938885 0.0022436215 0.0024661294 0.00053772744 0.00043883504 0.011181023 0.0026206488 0.00051918515 0.004017504 0.006112787 0.00036466576 0.0005068236 0.0005253659 0.0044687004 0.0010383703 0.00048828125 0.001569917 0.0030965684 0.0006551622 0.003356161 0.0018295095 0.005173309 0.0016379055 0.0013412283 0.00063661986 0.0049322587 0.0019654864 0.0027689873 0.042999655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051036277 0.0004043093 0.00019904459 1.866043e-05 0.000102632366 5.598129e-05 0.00010574244 7.464172e-05 6.5311506e-05 1.866043e-05 1.5550359e-05 1.866043e-05 1.2440287e-05 6.2201434e-06 1.2440287e-05 0.00015550359 0.008711311 0.00026124602 0.0005784733 4.6651076e-05 0.0002643561 0.00012751293 0.0015208251 0.0008708201 3.421079e-05 1.866043e-05 1.2440287e-05 1.2440287e-05 3.1100717e-05 4.9761147e-05 5.287122e-05 0.00014617336 0.036179464 0.0024507365 0.0026528912 0.00047584096 0.0017198697 0.0009423517 0.0043945312 0.0031505027 0.00027990644 0.00021459494 0.00018971437 0.00034832803 0.0006811057 0.0006126841 0.00015861365 0.0028737062 0.030637316 0.0048361616 0.0019189143 0.00082727906 0.0022454718 0.0016234574 0.008291451 0.004133285 0.00052249205 0.0003203374 0.00033588774 0.00037009854 0.00034521797 0.00036698845 0.00024569567 0.000304787 0.013933121 0.0013186703 0.0014057524 0.0005442625 0.0013964222 0.0009827827 0.0070380922 0.00391869 7.153165e-05 8.708201e-05 8.708201e-05 7.775179e-05 0.0004509604 0.00012440287 0.00016794387 0.0002425856 0.0140668545 0.0012875696 0.001082305 0.0011351762 0.0014181926 0.0010512042 0.0052155904 0.0026964322 0.00026746615 0.00013995322 0.00018349422 0.00031100717 0.0005598129 0.00035765825 0.0002861266 0.0017882911 0.0121137295 0.0032406948 0.0028954768 0.031194018 0.002954568 0.0026124602 0.006319666 0.0038720393 0.0021397292 0.001993556 0.0020961883 0.0020215465 0.002820835 0.002301453 0.0021397292 0.002086858 0.01862 0.0040897443 0.0028954768 0.001999776 0.0023760947 0.0025720294 0.0043945312 0.0028332754 0.0031878233 0.0008366093 0.00079306826 0.0010480941 0.004867262 0.0013062301 0.0018442725 0.0036605543 0.06874191 0.022600891 0.0107515175 0.009855817 0.018685311 0.028587779 0.010079742 0.015696531 0.047857784 0.0027897342 0.0035454817 0.003980892 0.039668962 0.006409858 0.016592233 0.03173517 0.06275813 0.020190585 0.010490271 0.011812052 0.018200139 0.024566457 0.010098402 0.01954991 0.0442812 0.0030105493 0.0040119924 0.004727309 0.027844472 0.008764182 0.019164262 0.035370845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 850.0 15.44 13124.0 0.03588845 0.00076196284 0.0009905517 0.0012191405 0.0028192624 0.0041145994 0.0011429442 0.0038860103 0.0037336177 0.001600122 0.0009143554 0.0020572997 0.003505029 0.0019811033 0.0050289547 0.001371533 0.024078025 0.017677538 0.011353246 0.015925024 0.01516306 0.013410546 0.012724779 0.009981713 0.011810424 0.009372143 0.010362694 0.008991161 0.012877172 0.0111246575 0.0116580315 0.010210302 0.006019506 0.0052575436 0.0047241696 0.012419994 0.009905516 0.006705273 0.0044955807 0.006248095 0.0074672354 0.006324291 0.0019811033 0.0025906735 0.006781469 0.005790917 0.002438281 0.0035812252 0.014096312 0.0025906735 0.0039622067 0.014020116 0.012115208 0.0039622067 0.007543432 0.007086254 0.0036574216 0.001904907 0.0018287108 0.0028192624 0.0034288326 0.0023620848 0.0021334959 0.009295946 0.0066290763 0.04061262 0.0068576653 0.022630295 0.026135325 0.06263334 0.00861018 0.0077720205 0.011962816 0.029945139 0.0021334959 0.008914965 0.025830539 0.011810424 0.032612007 0.043127097 0.013410546 0.0025144774 0.03710759 0.02826882 0.05143249 0.014629686 0.007848217 0.004571777 0.008076806 0.009981713 0.0016763182 0.0010667479 0.003200244 0.0015239257 0.0010667479 0.0021334959 5.9212637 0.0 1.0 0.0 2.0 161792.0 2318336.0 1.0 2.0 65.0 1.0 1.0 0.0 0.0 0.0 1541766000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 109568.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109568.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6669135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9220037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7991161 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5737624 0.0 3.365624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32510.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2152328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109077.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 113.0 145520.0 60.0 145636.0 1000.0 2301952.0 0.0 0.0 0.0 0.0 9944.0 2306048.0 56.0 115136.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 141824.0 0.0 0.0 268.0 114688.0 0.0 0.0 0.0 0.0


Input: 0.121461436 0.010415625 0.007053902 0.008066705 0.0073129083 0.0059857243 0.0033510053 0.0037868503 0.012096486 0.0022078052 0.0020095315 0.0016397777 0.006489447 0.0033081353 0.0015433201 0.008588291 0.0075647696 0.0016147702 0.0013057488 0.0018362652 0.0057803057 0.0023685677 0.0012200088 0.0011985739 0.0038225753 0.0017540976 0.0011842839 0.0012200088 0.0032170366 0.0011771389 0.0010610326 0.0013682676 0.004476343 0.0010181626 0.0015290302 0.0011432001 0.019046785 0.0024239414 0.0010181626 0.0010878263 0.002198874 0.0013575502 0.0010110176 0.0051658354 0.0017148001 0.0011682076 0.0010824676 0.00094671256 0.0038779492 0.002264965 0.0021953015 0.0062733106 0.0027954816 0.0047424943 0.002263179 0.0023078353 0.0032384715 0.0031741664 0.0024167965 0.004937195 0.0026829478 0.0023721403 0.0021167065 0.0021756527 0.0043155802 0.002306049 0.0017880364 0.0019023564 0.010354892 0.020502578 0.0031170065 0.013289701 0.0028329927 0.0014522214 0.0014629388 0.0012021464 0.004326298 0.0070735505 0.0015861902 0.0012932451 0.006582332 0.0032223952 0.0013414739 0.003056274 0.0026936652 0.0044441903 0.0034010203 0.0030384115 0.0023382015 0.004435259 0.0014307863 0.0017648152 0.003685034 0.004913974 0.002263179 0.0019345089 0.002091699 0.001648709 0.0010521014 0.0015183126 0.003983338 0.0036600265 0.002520399 0.0011896426 0.006098258 0.0051604765 0.005514154 0.0024310865 0.0022953316 0.0012914588 0.0016987239 0.0018773489 0.0024007203 0.0009806514 0.0026043528 0.002163149 0.008327498 0.008275697 0.0016790752 0.0016951514 0.0023917889 0.0013557639 0.0010270939 0.0010574601 0.002084554 0.0026079253 0.0017094414 0.0014950914 0.0031187928 0.0017844639 0.0011878563 0.009774361 0.003649309 0.012618071 0.0012575202 0.0011199788 0.0025007501 0.012105417 0.0015254576 0.029783934 0.0017362351 0.011060461 0.0011253376 0.0011753526 0.0021327827 0.0010217351 0.00108604 0.0013379013 0.0013932751 0.0017666015 0.0009359951 0.0011396277 0.0018273339 0.0011878563 0.0011074751 0.0010092313 0.0014968776 0.0023864303 0.0009860101 0.0013861301 0.0022256677 0.0021935152 0.0013307563 0.0016915789 0.0015415339 0.0018219751 0.00095564383 0.0010235213 0.0018487689 0.0010128039 0.00095028506 0.0011217651 0.0016933652 0.0010145901 0.00097350636 0.0033670815 0.0020327526 0.0010967576 0.0010235213 0.0011306964 0.001898784 0.0022613928 0.0021667215 0.0017773189 0.0030759228 0.0013682676 0.0011146201 0.0011342688 0.0014397176 0.0017808914 0.0012753826 0.0011253376 0.0072950455 0.005867832 0.003442104 0.0034706842 0.0030473429 0.0011039026 0.0035046227 0.0056088255 0.0053373156 0.0030652052 0.0019755927 0.0012986038 0.0032456166 0.0011967876 0.0014182826 0.0012950314 0.0031098616 0.0016933652 0.0017237314 0.0014218552 0.0026650853 0.0012753826 0.0016915789 0.0013218251 0.0029080152 0.00201489 0.0011110476 0.0016040526 0.015074166 0.01283778 0.004063719 0.0017112277 0.004204833 0.0018594865 0.0012164364 0.0010663914 0.0031384416 0.0014772288 0.0010949713 0.0010681776 0.013645165 0.004826448 0.0012271538 0.003835079 0.005692779 0.0010878263 0.0012182227 0.0015844039 0.004669258 0.0014611527 0.0015343889 0.0014504351 0.0031902427 0.0021970877 0.0027686877 0.0021095613 0.0059071295 0.0018094714 0.00201489 0.0034242417 0.008173881 0.004027994 0.008248903 0.06770424 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010559418 0.0004587156 0.0005483085 0.00038076978 0.0015696675 0.0005205347 0.0014003369 0.0008278383 0.00047932196 0.0003942087 0.00050978357 0.000806336 0.00067732227 0.00052859803 0.0007884174 0.0015687715 0.0107395 0.0014299025 0.001499785 0.018543936 0.0024539493 0.0018276949 0.0024888904 0.0021072247 0.002028383 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001966564 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058376934 0.015332927 0.021609806 0.010408006 0.032688864 0.020396717 0.0130402455 0.013566155 0.0374561 0.0032558057 0.0057267775 0.004989428 0.01947391 0.020557089 0.016534368 0.031357512 0.01388421 0.010732332 0.010661554 0.010533436 0.01096617 0.010481472 0.010613174 0.010326477 0.011295872 0.010933916 0.010696495 0.010794152 0.010432196 0.010524477 0.0106499065 0.010786088 2006.0 10.397806 20858.0 0.020855308 0.003883402 0.005465529 0.0037395724 0.013232333 0.003643686 0.0041710613 0.00652028 0.006280564 0.0033560265 0.0046504936 0.005465529 0.0068079396 0.004458721 0.0059929043 0.00489021 0.024259277 0.017834883 0.01701985 0.018697862 0.019656727 0.019177293 0.01658836 0.0180746 0.019800557 0.018985521 0.01821843 0.018889634 0.01793077 0.015629495 0.015533608 0.0143829705 0.0076709175 0.00815035 0.0050340397 0.009253045 0.010739285 0.006280564 0.0070476555 0.007814747 0.008342123 0.0058011315 0.0035477993 0.0041231182 0.008198293 0.005705245 0.0045546074 0.0069997124 0.013424106 0.0070955986 0.0059929043 0.011458433 0.00963659 0.0058011315 0.0077188606 0.0094927605 0.005561415 0.0051299264 0.00489021 0.004506664 0.0069997124 0.004314891 0.004075175 0.007335315 0.0077188606 0.017163679 0.00843801 0.01673219 0.016060984 0.035813596 0.007958577 0.008533896 0.011362547 0.017834883 0.008102407 0.0059929043 0.0180746 0.009396874 0.017403394 0.022197718 0.009396874 0.0035957426 0.023396298 0.017738998 0.032026082 0.011794036 0.005513472 0.0062326207 0.009300987 0.007814747 0.0046504936 0.003883402 0.00652028 0.0035477993 0.0034039698 0.0056093587 6.3220224 0.0 9.0 0.0 6.0 559832.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553848.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.20462735 0.0031466938 0.0017827007 0.0019842482 0.0036306914 0.0026925027 0.0013313481 0.0010815429 0.003211984 0.010602527 0.018367779 0.0015172827 0.00395998 0.01758004 0.0024866972 0.007674413 0.014392186 0.001779862 0.0018650228 0.0010134142 0.0019076033 0.0018905711 0.0009538017 0.0011752199 0.0019956029 0.0012944451 0.0012050262 0.00087715685 0.0013696705 0.0023334075 0.0009708338 0.001192252 0.02393162 0.0014860571 0.0017117333 0.0043006237 0.0036448848 0.0013966381 0.0011667038 0.0009538017 0.0015669599 0.0013710898 0.0014221864 0.0014221864 0.0043389457 0.010691946 0.005187716 0.0008870923 0.012097101 0.0038748193 0.003947206 0.007012997 0.0030515976 0.0020906993 0.003930174 0.0014775409 0.0027805022 0.0040025604 0.010730268 0.010772849 0.007085384 0.0030870812 0.006490677 0.000689803 0.0060464214 0.0017727653 0.0023277302 0.0057213907 0.0035341757 0.0039954637 0.0031466938 0.0014335412 0.0016975398 0.0017372816 0.00094528554 0.00085160864 0.0020012802 0.0023986977 0.0043290104 0.002143215 0.003948625 0.0014221864 0.0026641155 0.0029465659 0.0044013974 0.0024015363 0.0029380498 0.0022269564 0.0013625738 0.0013199934 0.0008445119 0.0009538017 0.0011439943 0.0010559947 0.0011667038 0.0014647668 0.0027918569 0.014913086 0.0058122287 0.0104719475 0.020776412 0.02332556 0.010173884 0.008482022 0.0058846157 0.016194757 0.0018054103 0.0019459256 0.01603579 0.011547813 0.014783925 0.023419237 0.0064126127 0.00083457644 0.01982261 0.010640849 0.020787766 0.004993265 0.003629272 0.0029678561 0.004637009 0.0029650172 0.00097935 0.0040962375 0.0015328955 0.0047860406 0.0008686408 0.0009027051 0.0038677226 0.0008445119 0.0006841256 0.0019246355 0.0010985751 0.0014236057 0.000955221 0.00097225315 0.0013966381 0.0019856675 0.0010219304 0.0039855284 0.0014023156 0.0016606369 0.0009538017 0.0009027051 0.0010318658 0.000689803 0.000885673 0.0008430925 0.0014761216 0.000885673 0.00071535126 0.00091973733 0.0010474786 0.0025221808 0.00080902816 0.000791996 0.0013455416 0.00058760995 0.0007068351 0.00096231775 0.002343343 0.0009963821 0.0011070912 0.0010772849 0.00097935 0.0007494156 0.0008956084 0.0008430925 0.0010063176 0.0010985751 0.0016606369 0.0008005121 0.0011411556 0.00078347995 0.00095664035 0.0007238673 0.0036108205 0.00078347995 0.0009126406 0.0010559947 0.0011156073 0.000689803 0.0007494156 0.00072528666 0.0014477347 0.00087715685 0.0008175443 0.00071535126 0.0023263108 0.0006812869 0.000791996 0.0007579317 0.0044709453 0.0009538017 0.0014903151 0.0009963821 0.0028869533 0.0007494156 0.0008601247 0.0013966381 0.0012547034 0.0009978014 0.0011411556 0.0009963821 0.005783842 0.00090412446 0.0007848993 0.0007763832 0.0011936714 0.00089418906 0.00080902816 0.00087857625 0.0011241233 0.00060464215 0.00083457644 0.0011156073 0.00097935 0.0008430925 0.0008175443 0.00076644775 0.0010985751 0.0005535456 0.0007749638 0.00084593124 0.003670433 0.0006727708 0.0006642547 0.0007238673 0.00094528554 0.00080902816 0.00087715685 0.00063870643 0.0029721141 0.00081044756 0.00082606036 0.0011411556 0.0010673495 0.000987866 0.0006316097 0.000689803 0.0010389625 0.0007167706 0.00080902816 0.00083457644 0.0010645108 0.0008601247 0.00089418906 0.000987866 0.0013285094 0.0010219304 0.00058760995 0.0008430925 0.0008956084 0.0005450295 0.0008218023 0.025463097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038508119 3.766944e-05 3.3404976e-05 3.269423e-05 3.0561998e-05 3.1983487e-05 3.269423e-05 2.7719023e-05 3.1983487e-05 3.6958696e-05 3.909093e-05 3.766944e-05 3.4826466e-05 3.4826466e-05 3.909093e-05 3.4826466e-05 0.0075545 0.00010305791 9.3818235e-05 9.9504185e-05 8.6000044e-05 7.0363676e-05 8.671079e-05 6.823144e-05 6.538846e-05 7.107442e-05 6.823144e-05 7.6049626e-05 6.680995e-05 7.462814e-05 7.533888e-05 7.391739e-05 0.004711523 0.00015067776 7.320665e-05 0.00010803311 9.1686e-05 6.680995e-05 0.00015849595 7.676037e-05 3.9801675e-05 4.1223164e-05 4.264465e-05 6.538846e-05 4.3355394e-05 4.406614e-05 5.970251e-05 4.9041348e-05 0.005448565 0.00044137213 7.676037e-05 0.00013148767 0.00011229758 8.315707e-05 0.00026795056 8.244633e-05 4.8330603e-05 4.3355394e-05 5.47273e-05 0.00021393399 5.259507e-05 5.3305812e-05 0.000100925674 6.680995e-05 0.0058835405 0.00041081014 0.00018408275 0.00047406636 0.00029211584 0.00017342158 0.00052950444 0.00021322325 3.8380185e-05 3.1983487e-05 4.264465e-05 0.00019545465 4.3355394e-05 4.051242e-05 9.026451e-05 9.026451e-05 0.08947274 0.015360603 0.018998902 0.0227495 0.006225408 0.0021713234 0.07111635 0.029765256 0.00035679358 0.00080029794 0.000547273 0.0039680847 0.0015330752 0.0005742813 0.0020121168 0.0007235376 0.09177484 0.0019495713 0.0211354 0.03356063 0.013154454 0.0063170944 0.07684566 0.036073823 0.0002608431 0.00022743814 0.00024094227 0.00030633074 0.0003262316 0.00020469433 0.0003297853 0.014235496 0.015340703 0.0009609261 0.0012700999 0.0007562318 0.0016652736 0.0017207117 0.0043568616 0.002594927 0.00071500865 0.00025871088 0.00043071096 0.00038877706 0.0007448599 0.00042431426 0.0005742813 0.0012764966 0.01285523 0.00095524016 0.002602745 0.0024520673 0.0014186454 0.0013354883 0.006340549 0.0035992085 0.00077044667 0.00027932247 0.0005636201 0.00039943823 0.00067520695 0.0004406614 0.0005813887 0.0025764476 0.00548197 0.0005664631 0.0016126785 0.0016659844 0.0009069096 0.0009367608 0.0028536378 0.0017562489 0.00095666165 0.00012509097 0.0002700828 0.00024165302 0.0007818186 0.00016844636 0.0005309259 0.0015231248 0.018219216 0.0027761667 0.00397306 0.0047072587 0.0054997383 0.0071628797 0.0051301513 0.004728581 0.0069830613 0.0010092567 0.0012231907 0.0008671079 0.005914813 0.0009808269 0.0022772243 0.0056944825 0.010832452 0.0013347776 0.003947473 0.0051941182 0.0034229439 0.001975158 0.008332054 0.0029545636 0.003965242 0.0022900177 0.0030171091 0.0019403317 0.004611308 0.0016745133 0.0022999682 0.0033433407 0.013693908 0.01120275 0.011521874 0.011266717 0.011192089 0.010221212 0.012439445 0.008965327 0.010873675 0.011025774 0.010640551 0.0093796905 0.011646965 0.00943584 0.00917855 0.009076914 10826.0 19.882044 215243.0 0.06043402 0.00011150188 0.0009756415 0.01120594 0.00019512829 0.0005575094 0.00033450566 0.00041813205 0.0016167773 0.0016725282 0.00036238114 0.00013937736 0.008697147 0.032474924 0.013463853 0.00039025658 0.025701184 0.0059096 0.004376449 0.013268724 0.0016167773 0.0013101471 0.008446268 0.0008362641 0.0035680602 0.008446268 0.032614302 0.03163866 0.0017561547 0.0059096 0.0017840301 0.00025087924 0.0013937736 0.001844427 0.0040698186 0.006494985 0.002262559 0.0020349093 0.005519343 0.0021464112 0.0011475402 0.0021789325 0.00016725283 0.00025087924 0.0008362641 0.0020209716 0.00072476227 0.00016725283 0.0022300377 0.0002787547 0.00064113585 0.0030941772 0.0038793364 0.0017282792 0.000947766 0.0012822717 0.000473883 0.00041813205 0.0003484434 0.00022300376 0.00019977421 0.00036238114 0.00022300376 0.0006132604 0.0006132604 0.041873604 0.014578871 0.020962354 0.030886022 0.06681751 0.016613781 0.024892796 0.01335235 0.045999173 0.00039025658 0.0036516867 0.036433242 0.032976683 0.043485735 0.06893604 0.0162514 0.0002787547 0.04906083 0.029413268 0.053325776 0.010346445 0.008423038 0.007888759 0.011624072 0.007498502 0.0009756415 0.010843558 0.00011150188 0.0002787547 0.00013937736 0.00039025658 5.2626595 0.0 6.0 0.0 6.0 704549.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0