Input: 0.009000574 0.0040069106 0.003922316 0.0038873989 0.0039736973 0.0038519143 0.003954394 0.003910109 0.003927993 0.0038530498 0.003946729 0.003861566 0.003921464 0.003894212 0.0038791664 0.0038811537 0.003857592 0.003845953 0.0038539015 0.0038839923 0.003832327 0.0039592194 0.0038768954 0.003910109 0.0038987538 0.0038226752 0.0039203283 0.00392118 0.003914935 0.0038865472 0.003932251 0.0038439657 0.0039526904 0.0038800181 0.0038490756 0.0039041475 0.003909825 0.0038473723 0.0037905972 0.0038649726 0.0038902375 0.003832327 0.003827501 0.003916638 0.0038632695 0.0038451012 0.003870934 0.003859579 0.0039932844 0.003963194 0.0039350903 0.0038726374 0.0038817213 0.0038493595 0.0038697985 0.003861566 0.003871502 0.0038649726 0.0039274255 0.0038751923 0.0038652564 0.003813875 0.0038791664 0.0038956313 0.0038922247 0.0039455933 0.0038814375 0.003942471 0.0039515547 0.0038842761 0.0038632695 0.0038800181 0.0041338033 0.0039495677 0.0038925086 0.003859295 0.003953542 0.0038607146 0.0039225994 0.0039152186 0.0039021603 0.0039092572 0.0038930764 0.0038734889 0.0038967668 0.0039285608 0.003864405 0.0039404836 0.0038720695 0.0038922247 0.0038147266 0.0038996055 0.0038561726 0.0038263656 0.0038521981 0.0038882506 0.0039382125 0.003946729 0.0039186254 0.003960639 0.0038601467 0.0040398403 0.0039137993 0.0038658243 0.0038513467 0.0039410517 0.003859579 0.0038331784 0.0039262897 0.0038788826 0.0039089737 0.0039498517 0.003909825 0.0038680953 0.0039410517 0.0039095413 0.003997259 0.00392998 0.0039228834 0.0039453097 0.003866676 0.0038749082 0.0038530498 0.0038882506 0.0038695147 0.0038402753 0.0038567402 0.0038516305 0.0038922247 0.0038587274 0.0038363012 0.0039038637 0.0039549614 0.0038905216 0.003895915 0.0038882506 0.003845669 0.003960923 0.003906986 0.0038297721 0.0037999651 0.0039458773 0.0038016683 0.00390358 0.0038476563 0.0038834247 0.003859863 0.0039160703 0.0038604306 0.003889102 0.0038771792 0.0038521981 0.0038944958 0.0038334625 0.0038348818 0.0039024444 0.0038453853 0.0038326108 0.0038837085 0.003850495 0.003882573 0.0038507788 0.0038590112 0.0038817213 0.00392118 0.0038164298 0.003857308 0.003916638 0.0038700823 0.0038749082 0.0037920165 0.0039064186 0.0038212556 0.0038152942 0.0039032958 0.003861566 0.00381132 0.0038473723 0.0038192687 0.0038834247 0.003946729 0.003884844 0.0038533336 0.0038351656 0.0038902375 0.003928277 0.003894212 0.0038263656 0.0038817213 0.00387576 0.0038726374 0.0039067026 0.003974549 0.0038814375 0.0039186254 0.0038544692 0.0038922247 0.0038127394 0.003836585 0.0039504194 0.0038601467 0.003877747 0.0038689468 0.003911244 0.0040159947 0.0038513467 0.0038561726 0.0038774633 0.0038805858 0.003832043 0.003873205 0.003859579 0.003907838 0.00388967 0.0038311915 0.0038910892 0.003910393 0.0039271414 0.0038627016 0.0039410517 0.0038553209 0.0039160703 0.003843682 0.003863837 0.003855037 0.003960923 0.0038448174 0.0038490756 0.003877747 0.0038181331 0.0038760437 0.003870934 0.0039501353 0.0038530498 0.0038734889 0.003935658 0.0038422626 0.0038121718 0.0038859795 0.0038854117 0.0038221073 0.0039243028 0.0038930764 0.0038842761 0.0038198363 0.0038348818 0.0039217477 0.0039572325 0.003873205 0.0038661081 0.003878031 0.0038380043 0.0038507788 0.003916638 0.0038910892 0.0040327436 0.0017446933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00049424457 1.178463e-05 5.963307e-06 1.2210581e-05 4.5434717e-06 1.1642647e-05 5.5373566e-06 4.8274387e-06 4.5434717e-06 4.5434717e-06 2.555703e-06 3.407604e-06 3.5495875e-06 4.4014882e-06 2.83967e-06 4.969422e-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 0.00022078434 1.1074713e-05 4.2595047e-06 1.2494548e-05 2.6976866e-06 1.1216696e-05 6.247274e-06 5.67934e-06 1.8457855e-06 1.9877689e-06 1.2778515e-06 9.938844e-07 1.703802e-06 2.4137194e-06 2.6976866e-06 3.407604e-06 0.0006200419 1.0506779e-05 1.9877689e-05 2.2575376e-05 2.7544798e-05 2.4421162e-05 4.1033232e-05 2.797075e-05 1.1926614e-05 8.5190095e-06 1.1642647e-05 9.228927e-06 9.796861e-06 9.228927e-06 8.8029765e-06 9.228927e-06 0.0005017697 5.8213236e-06 1.661207e-05 2.9532568e-05 5.6651417e-05 4.0039347e-05 0.00012750117 6.985588e-05 2.555703e-06 1.9877689e-06 2.1297524e-06 1.703802e-06 3.691571e-06 4.685455e-06 4.4014882e-06 3.407604e-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 0.00042353678 1.2068597e-05 4.912629e-05 6.801009e-05 0.00010719754 5.0120176e-05 0.00021950649 0.00014127359 3.0242485e-05 1.703802e-06 3.691571e-06 5.5373566e-06 1.5050251e-05 5.395373e-06 9.512894e-06 2.1155542e-05 0.0003234384 2.0871574e-05 3.5921825e-05 7.2553565e-05 8.036266e-05 3.5069923e-05 8.377026e-05 5.1823976e-05 2.7402815e-05 6.815208e-06 1.0790746e-05 6.531241e-06 8.7461834e-05 9.228927e-06 6.6732246e-06 1.3630416e-05 0.0003563786 4.6144636e-05 6.616431e-05 4.6144636e-05 0.00012735919 3.8051578e-05 3.8051578e-05 4.1743147e-05 0.0001229577 9.37091e-06 1.3204465e-05 2.4705128e-05 0.0001265073 1.4056366e-05 3.251422e-05 5.977505e-05 0.0007164487 0.00010648763 0.00017719541 0.00013204465 0.00041075825 0.00013232863 9.413506e-05 0.00014226747 0.00035311296 2.9390583e-05 2.3995211e-05 6.0768936e-05 0.00019423342 5.7787285e-05 8.77458e-05 0.00018912202 0.00037568834 0.00010208614 0.00012608134 0.0001506445 8.0504644e-05 9.5980846e-05 0.00016910235 0.00013602019 8.377026e-05 5.551555e-05 6.616431e-05 5.352778e-05 6.2188774e-05 5.8923153e-05 6.0626953e-05 6.786811e-05 0.061771624 0.061839066 0.06140687 0.06167465 0.061837364 0.061680328 0.06180442 0.061705034 0.061485954 0.061757002 0.06170759 0.06180442 0.0617482 0.06193093 0.06178937 0.06184432 16375.0 5.831084 95484.0 0.011143228 0.009750324 0.01044154 0.009101002 0.009163839 0.009593231 0.010022622 0.010221608 0.009687487 0.00998073 0.010368229 0.010012149 0.0098131625 0.010054041 0.010169243 0.011028025 0.01136316 0.010682418 0.010190189 0.010357756 0.009844582 0.010347283 0.010148297 0.009739852 0.010022622 0.009959783 0.010284445 0.010294919 0.00998073 0.009677014 0.010399648 0.010033094 0.009823635 0.012117214 0.010064513 0.01090235 0.011038499 0.009949311 0.009886473 0.010525323 0.010567215 0.01100708 0.009729379 0.0096351225 0.009949311 0.010305392 0.010965188 0.010336811 0.010567215 0.009970257 0.0102635 0.010839513 0.0102635 0.0100959325 0.010650999 0.011080391 0.010650999 0.009593231 0.009844582 0.01015877 0.009478028 0.0099912025 0.010148297 0.0104520125 0.010106405 0.011583093 0.010661472 0.011635457 0.010420594 0.013583427 0.010127352 0.010504378 0.010242553 0.01164593 0.010462486 0.010064513 0.011143228 0.011593565 0.011488836 0.011792552 0.011352687 0.010326337 0.011719241 0.011384106 0.0127246445 0.010965188 0.009687487 0.010766202 0.009289514 0.00998073 0.0098131625 0.010399648 0.010284445 0.009834108 0.010001675 0.009687487 6.5814395 2.0 18.0 0.0 45.0 3522664.0 3530752.0 1.0 0.0 64.0 1.0 1.0 1.0 0.0 0.0 1541134800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 12288.0 1024.0 4096.0 8.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 5632.0 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 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 -12800.0 0.0 3484672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0275564 0.0 0.0 0.0 0.0 0.0 0.0 -2.125 0.0 4.406543 0.0 0.0 0.0 0.0 4.1335254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1728948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.955088 0.0 7.9998937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 5540.0 0.0 0.0 0.0 0.0 708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11802.0 0.0 3484332.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 18827.0 3484332.0 40960.0 708.0 28672.0 15976.0 3506688.0 36.0 3526656.0 28.0 18752.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 18480.0 0.0 0.0 536.0 19448.0 0.0 0.0 0.0 0.0


Input: 0.22766763 0.014043899 0.022638744 0.0060125613 0.019224877 0.0044916403 0.009601497 0.0061985734 0.004201681 0.0041360296 0.031698618 0.0036709995 0.0031457895 0.0031622024 0.00338104 0.0023415617 0.0027792368 0.007106749 0.004951199 0.0030691964 0.004338454 0.0024619224 0.0051153274 0.0042071515 0.0032552083 0.0029926032 0.00285583 0.0025275736 0.0025549282 0.002128195 0.0018820028 0.0067949053 0.00833771 0.00752254 0.0029761905 0.0020789567 0.0029378938 0.0033044468 0.0025932249 0.002582283 0.008146227 0.0026862307 0.0039281338 0.0028613007 0.0038953081 0.003463104 0.004715949 0.0018437062 0.00396643 0.0039445464 0.0034904587 0.003189557 0.0026369924 0.0022430848 0.002221201 0.0020789567 0.0025166317 0.0022704394 0.0019367122 0.0014333859 0.002133666 0.0022759105 0.0016576943 0.0020297181 0.0021829044 0.0036217612 0.0027792368 0.0029050682 0.0037585346 0.0031403187 0.0025549282 0.002407213 0.002232143 0.0024181549 0.00151545 0.0016795781 0.0027026436 0.00285583 0.002057073 0.00221573 0.002757353 0.0019038866 0.0022102592 0.003638174 0.0026096376 0.0017124037 0.0020789567 0.0017452294 0.0015318628 0.0018765319 0.0015045081 0.0012911415 0.0014060312 0.0015318628 0.0015318628 0.0030691964 0.0018874737 0.008157169 0.00309108 0.004289216 0.00390625 0.013031775 0.0025330444 0.0034795168 0.0029816614 0.00699733 0.001685049 0.0024728642 0.0066088936 0.0044752276 0.0067949053 0.026720064 0.00955773 0.0019038866 0.013502276 0.01142332 0.00962338 0.004349396 0.0018218225 0.0025166317 0.0021227242 0.0029488357 0.0019804798 0.014120492 0.0018054097 0.0032442664 0.0015373337 0.0015537465 0.0034248075 0.0028886555 0.0020789567 0.0014443278 0.0015592175 0.0020789567 0.0019476541 0.0017342875 0.0014443278 0.0017835259 0.0018382353 0.00151545 0.001602985 0.0017014618 0.0015646884 0.0015373337 0.0014662115 0.0023579744 0.0014497987 0.0013950893 0.0013567928 0.0012747287 0.0011871937 0.0014060312 0.0013786765 0.0014005603 0.0016084559 0.0012145484 0.001159839 0.0012911415 0.0014115021 0.0013567928 0.0014990371 0.0014005603 0.002314207 0.0016303397 0.0014115021 0.0012145484 0.0014333859 0.0011871937 0.0019421831 0.0013622637 0.0016139268 0.0012692577 0.0014716825 0.0015263918 0.0015318628 0.001958596 0.0013786765 0.0014497987 0.0012747287 0.0014005603 0.0013513218 0.0013786765 0.0013075543 0.0014716825 0.0014060312 0.0015209209 0.0013786765 0.0014333859 0.0016522234 0.0013567928 0.002046131 0.0016303397 0.0022376138 0.001953125 0.0015537465 0.0014990371 0.0017944678 0.0014005603 0.0017889969 0.0012856706 0.0014115021 0.0067183124 0.001154368 0.0014169731 0.0011653099 0.0014771534 0.0013184962 0.0013786765 0.0014388568 0.0015811012 0.0012254902 0.0013677346 0.0014607406 0.0016741072 0.0013841474 0.0019312412 0.001509979 0.0013020834 0.0014115021 0.0013567928 0.0017178747 0.0012747287 0.0028339461 0.0014443278 0.0020898986 0.0014990371 0.0012966124 0.0013075543 0.0013732056 0.0013513218 0.0013075543 0.0013896184 0.0014607406 0.0011488971 0.001772584 0.0015373337 0.0010777749 0.0014607406 0.0010996587 0.0014880953 0.0018327644 0.0016412815 0.0012637868 0.0013130252 0.0014771534 0.001772584 0.0014333859 0.0017507003 0.0013732056 0.0016741072 0.0017452294 0.0015920431 0.0014443278 0.0014771534 0.0017069328 0.013223258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004063493 4.4138418e-05 0.00020689884 1.6551907e-05 0.0001241393 0.000107587395 0.00044414285 0.00022345074 3.5862464e-05 2.7586511e-06 1.6551907e-05 8.275953e-06 0.00015448446 1.10346045e-05 1.6551907e-05 0.00017379502 0.04202529 0.0019007106 0.0066180043 0.0017848472 0.004160046 0.0028138242 0.020383673 0.010709084 0.0005131091 0.00024000264 0.00024000264 0.00017379502 0.0054648877 0.00014344986 0.00026207184 0.009911833 0.11493644 0.009506312 0.013470493 0.007147665 0.008344919 0.004419359 0.02990102 0.025776837 0.0015172581 0.0006151792 0.0009075962 0.0009186308 0.00092414813 0.00079173286 0.00014896716 0.0010124249 0.121328235 0.016466388 0.01685536 0.0058290297 0.003969699 0.0024303717 0.015760174 0.019509181 0.0029931364 0.0018814001 0.003669006 0.0015144994 0.0023917505 0.0030869306 0.001241393 0.0014124294 0.020714711 0.0042952197 0.0024634756 0.0009075962 0.00067035225 0.0006262138 0.0010151836 0.0010151836 0.002562787 0.0007834569 0.00093794137 0.0006951801 0.0006041446 0.000529661 0.00095725193 0.00076966366 0.01008287 0.002325543 0.0013379458 0.0007724223 0.00084966456 0.0006289725 0.0018951934 0.0010786325 0.0013572563 0.0005048332 0.00035034868 0.00035034868 0.00024551994 0.00035310735 0.00015448446 0.00031172758 0.0040221135 0.00074759446 0.0006869041 0.0005958686 0.00053241965 0.00048276395 0.0017545021 0.0011062191 0.00035034868 0.0001351739 0.0001462085 0.00015724312 0.000115863346 0.00016000177 0.000102070095 0.00020414019 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014753266 0.0048938473 0.0035696945 0.004857985 0.0031421036 0.0030896892 0.0081187105 0.0056166137 0.0021848518 0.0019751943 0.001715881 0.0022372662 0.0023117496 0.002656581 0.0024441648 0.0042290124 0.029969987 0.019219523 0.018976761 0.018331237 0.019434698 0.018008474 0.02014643 0.019374007 0.01887745 0.016764322 0.016976738 0.017556056 0.01756985 0.017379502 0.0175064 0.018993312 1140.0 14.533334 16568.0 0.01122646 0.0018107195 0.0012071463 0.001327861 0.0027160791 0.0011467889 0.0013882183 0.0016296476 0.0018107195 0.0016296476 0.0016296476 0.00090535975 0.007122163 0.0022332207 0.020823274 0.00048285854 0.013399324 0.011166103 0.0047682277 0.0079068085 0.0065185903 0.008268952 0.0045267986 0.005975374 0.004406084 0.0031385804 0.0035610816 0.0008450024 0.00060357316 0.0068203765 0.00072428776 0.00072428776 0.0011467889 0.008691453 0.007122163 0.013338966 0.01394254 0.010260744 0.0062168036 0.007303235 0.00404394 0.0068203765 0.0016296476 0.002655722 0.0045871558 0.0062168036 0.002836794 0.004406084 0.009476098 0.0022935779 0.0065185903 0.017141478 0.00808788 0.0021728633 0.007122163 0.0046475134 0.003440367 0.0017503621 0.0019314341 0.00072428776 0.0015089329 0.00090535975 0.0011467889 0.011890391 0.0012675036 0.046414774 0.014485756 0.021909706 0.017141478 0.09651135 0.010924674 0.017745052 0.009113954 0.04116369 0.0018107195 0.008208595 0.040197972 0.023358282 0.040318687 0.043517623 0.015270401 0.0016900048 0.049855143 0.039051183 0.06633269 0.025893288 0.0050700144 0.00899324 0.0058546597 0.014244326 0.0038628683 0.0008450024 0.0014485755 0.0018710768 0.00054321584 0.0006639305 5.5773335 1.0 0.0 0.0 1.0 182784.0 212992.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541428100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 172544.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172544.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.638449 0.0 2.5063312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172156.0 0.0 9008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 180260.0 9008.0 188416.0 0.0 0.0 0.0 0.0 12.0 204800.0 28.0 179948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.050251566 0.0067959055 0.0055539473 0.0055876565 0.0084952535 0.0052761757 0.0051068026 0.0046936977 0.008509465 0.0045317607 0.0043298346 0.0042062337 0.0065948064 0.0047908598 0.0040188497 0.0061045336 0.014914243 0.0059640775 0.0046586664 0.0043939487 0.0053505343 0.004061482 0.0041991286 0.0036860523 0.004804575 0.0041593052 0.0030875457 0.0030845716 0.0038831858 0.0028735576 0.0028947084 0.0029163552 0.0046459427 0.0026898084 0.0026488286 0.0026309823 0.010563753 0.0029308966 0.00243137 0.00239039 0.0029832781 0.0024047662 0.002342635 0.0025308458 0.0027497914 0.0023366865 0.0023482533 0.0021122878 0.0027882927 0.00218549 0.002235228 0.0029009876 0.0025225836 0.002134926 0.0020380942 0.002078248 0.0024589654 0.0022324189 0.0019485331 0.0027225264 0.0024526862 0.0022705896 0.0020342937 0.002352715 0.0034363717 0.0024840822 0.0021519458 0.0022540654 0.0053450814 0.003237916 0.003054167 0.002255222 0.0035484056 0.0024649142 0.0028966914 0.0020478435 0.004076519 0.0034586792 0.0026481675 0.0023799797 0.0061065163 0.003136127 0.0037407472 0.0029095802 0.003162731 0.0028961957 0.0038370832 0.0030844063 0.0027702814 0.00303566 0.0024700367 0.0027638369 0.0032719558 0.0030573066 0.003678451 0.003288315 0.003415551 0.0033719272 0.002976338 0.002972372 0.0045063132 0.0038830205 0.0035118873 0.003196275 0.00510168 0.0037647074 0.0050231903 0.0032954202 0.0042779488 0.0036422631 0.003931932 0.0039542397 0.004476074 0.0037347986 0.0042320117 0.00399869 0.006525074 0.005546346 0.004170211 0.003993733 0.0043609003 0.0041951626 0.004088747 0.004115351 0.0048248996 0.0045995098 0.0044170828 0.005161002 0.00484225 0.0046203304 0.00417616 0.010358026 0.005765292 0.0061488184 0.004493424 0.0042510144 0.0045499373 0.0073003895 0.004231681 0.015948491 0.004050576 0.008179312 0.0040256246 0.003898223 0.0039464734 0.0035218017 0.0035872376 0.0039844792 0.0033634999 0.00322007 0.0034092718 0.0033413575 0.0032157735 0.003007073 0.0030222752 0.0031939617 0.0030234319 0.0028084521 0.002931227 0.0029373409 0.0028795062 0.002891569 0.0027344238 0.002796059 0.0025225836 0.0024834212 0.002505068 0.0025377858 0.0024984584 0.0022613362 0.0023775012 0.0023955125 0.0023371822 0.0022112678 0.0022694329 0.0022580312 0.002486065 0.0021937522 0.0020777523 0.0022357237 0.0022494388 0.0019781115 0.0021788804 0.0021729316 0.0025875238 0.001973815 0.0020389205 0.0022390285 0.002080892 0.0020493306 0.002185325 0.0020767609 0.0045691053 0.0036280523 0.0029342014 0.0031467024 0.003210651 0.0021539289 0.0036120238 0.0035852545 0.0026374268 0.0026207373 0.0028785148 0.002216225 0.010220215 0.0021856553 0.0029173465 0.0024825952 0.002593968 0.0023214843 0.0030997738 0.0023979913 0.0024918485 0.0023735354 0.0025093642 0.0024859 0.0033117791 0.003216104 0.002616441 0.002862321 0.0028302642 0.0028880988 0.0028345603 0.0028102698 0.00344893 0.0029629534 0.002976338 0.0029289136 0.0032997166 0.0030706911 0.0031113406 0.0031460414 0.007757118 0.004807384 0.003341688 0.0041733505 0.004069744 0.0040330603 0.0037281888 0.0037539667 0.0062178895 0.0042668777 0.0038313 0.0039654765 0.004178308 0.004026946 0.0046525523 0.0044841706 0.004609259 0.0044840057 0.0043414016 0.0043570995 0.0048936405 0.0044319546 0.004861418 0.016938953 0.0013526084 9.0912215e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.264747e-08 0.0 8.264747e-08 8.264747e-08 8.264747e-08 1.6529494e-07 8.264747e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015405488 2.1488343e-06 3.3058987e-07 4.1323736e-07 4.958848e-07 4.1323736e-07 5.785323e-07 6.6117974e-07 6.6117977e-06 8.264747e-07 6.6117974e-07 4.1323736e-07 4.1323736e-07 3.3058987e-07 4.1323736e-07 4.958848e-07 0.0011645855 3.2232513e-06 5.785323e-07 7.4382723e-07 7.4382723e-07 8.264747e-07 1.0744171e-06 8.264747e-07 0.00051464577 9.917696e-07 8.264747e-07 7.4382723e-07 5.785323e-07 6.6117974e-07 8.264747e-07 7.4382723e-07 0.0004372051 7.1076824e-06 7.025035e-06 6.4465025e-06 4.7109056e-06 1.2562416e-05 6.4465025e-06 5.124143e-06 2.975309e-06 4.4629633e-06 1.9008918e-06 2.3141292e-06 2.8926615e-06 3.2232513e-06 1.6529494e-06 1.7355968e-06 0.0004120803 1.0330934e-05 4.876201e-06 4.4629633e-06 9.173869e-06 1.7851853e-05 1.239712e-05 5.7026755e-06 4.958848e-06 1.4876545e-06 4.3803157e-06 2.644719e-06 3.9670786e-06 2.5620716e-06 7.19033e-06 3.7191362e-06 0.0007068838 2.256276e-05 8.099452e-06 7.934157e-06 2.1488342e-05 1.5041839e-05 5.000172e-05 2.7273665e-05 0.000107937594 5.124143e-06 4.545611e-06 4.545611e-06 7.603567e-06 1.0909466e-05 6.19856e-06 9.421811e-06 0.0010609456 0.00024199179 3.7604597e-05 1.6529493e-05 3.09928e-05 1.5455076e-05 3.1406038e-05 1.892627e-05 6.752298e-05 2.4050414e-05 1.5620371e-05 2.7686903e-05 1.17359405e-05 1.0744171e-05 9.421811e-06 7.1985945e-05 0.008919811 0.0030619234 0.0004420813 0.00016901408 0.00029959707 0.00022207375 0.0003873687 0.0002533145 0.00022711525 0.00034422672 0.00015893109 0.00010851613 0.00014306277 0.0001596749 0.00014107923 0.001380626 0.005583663 0.0021147009 0.00033042458 0.00016810495 0.0003354661 0.00023777677 0.0008393677 0.0004881986 0.0003137298 0.00021141223 0.00014430248 0.00015818726 0.00017124556 0.00015141016 0.00017017114 0.0009379661 0.0011355763 0.00040406347 7.810186e-05 8.446571e-05 9.3474286e-05 5.620028e-05 0.00021736285 0.00013959158 0.00012612004 5.421674e-05 4.6199937e-05 4.148903e-05 4.7439647e-05 4.4877575e-05 3.5703706e-05 0.000103309336 0.0017311339 0.0010710285 0.0002414959 0.00023009056 0.00040191464 0.00022430523 0.0008366403 0.00046183405 0.00015471606 6.826681e-05 8.554013e-05 9.578842e-05 0.00011206997 0.00010562347 0.00011206997 0.00016091463 0.0037736008 0.0024067769 0.00058506144 0.00063035224 0.0008872206 0.0005653913 0.0014836048 0.00094135466 0.00052687764 0.00025066978 0.00038472397 0.0003708392 0.00050489337 0.00034687144 0.00034364816 0.00038538515 0.034853347 0.012119094 0.009471648 0.0032532522 0.010834918 0.0106565645 0.0057218494 0.0053588618 0.024953667 0.001990647 0.0017393987 0.0021249491 0.018043596 0.0038660832 0.0074201724 0.01363799 0.01308045 0.0054182853 0.0033784632 0.002388016 0.004293123 0.004801818 0.0028108405 0.0046986737 0.009683556 0.0015564997 0.0012548366 0.001556665 0.0055552325 0.0024839698 0.004036833 0.0076472876 0.060438443 0.048055455 0.0361605 0.030396499 0.030534355 0.03639183 0.04842431 0.0600319 0.060152978 0.048001073 0.036121655 0.030310877 0.030403525 0.036461998 0.04832373 0.06019711 14704.0 8.141254 119709.0 0.03657202 0.002756685 0.0044608177 0.0027817457 0.020833855 0.004034784 0.0046445965 0.0038510053 0.0072091487 0.0036171048 0.004761547 0.0030072927 0.010400221 0.0041517345 0.011736795 0.0029655248 0.008512309 0.0048701433 0.006599337 0.0039679557 0.0062735467 0.0030156462 0.0049870936 0.0028151602 0.0061398894 0.003633812 0.0046445965 0.0035502762 0.005596906 0.0030072927 0.004911911 0.00918895 0.021268243 0.01191222 0.006081414 0.01007443 0.012923005 0.0052209944 0.007493171 0.004268685 0.0073595135 0.0067079333 0.0052209944 0.0026063204 0.012146121 0.005697149 0.006749701 0.004185149 0.016180905 0.0048116683 0.011862099 0.009623337 0.014142629 0.00649074 0.015930297 0.00616495 0.0065909834 0.004059845 0.0068248836 0.004878497 0.008203226 0.005388066 0.010433635 0.013866961 0.00823664 0.02421706 0.011653259 0.013908729 0.021401899 0.039629433 0.014084154 0.010976618 0.018996065 0.023882916 0.015161768 0.0052627623 0.026338872 0.011502895 0.031200662 0.026731491 0.019280087 0.0038593588 0.0312842 0.01786833 0.042812154 0.016013833 0.01354117 0.00669958 0.01200411 0.0077187177 0.010759425 0.0038510053 0.010191381 0.0034667403 0.0087712705 0.0038259446 6.201948 0.0 0.0 0.0 27.0 6051732.0 22650880.0 0.0 1.0 382.0 0.0 1.0 0.0 0.0 0.0 1096929700.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 1290240.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1290240.0 0.0 20815872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4355016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.726194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5450735 0.0 7.940201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140330.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 328434.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1287988.0 0.0 20812976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 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 -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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -2.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66.0 1622704.0 260.0 1614400.0 20812976.0 1691648.0 0.0 0.0 0.0 0.0 112436.0 22507520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1576.0 1294336.0 96.0 1613684.0 0.0 0.0


Input: 0.23110573 0.013290498 0.012700798 0.023078213 0.017923946 0.021852028 0.019431172 0.028225657 0.028037863 0.01121469 0.019443193 0.007799306 0.015681462 0.0021196697 0.0008554706 0.0020468913 0.0054096417 0.0014370477 0.00096463814 0.0008226554 0.0013860379 0.001890288 0.0019718388 0.00081778184 0.0017297857 0.0006238145 0.00064038456 0.0007333069 0.0012762205 0.0017424569 0.0005858008 0.00060886896 0.004570091 0.0016472602 0.0011498331 0.00073655596 0.0019383737 0.0012219617 0.0017327098 0.00055818405 0.001019222 0.0009545662 0.0006537056 0.0010341675 0.00088536175 0.0008717158 0.001355172 0.0018431769 0.002424754 0.0013220318 0.0010221461 0.0023123375 0.001062434 0.0011527572 0.0007609237 0.0006533807 0.0012534773 0.0014516683 0.0018893132 0.0016193185 0.0010094749 0.0013434755 0.0006978925 0.0008437741 0.00438782 0.0023009658 0.0012622497 0.001361995 0.0031658586 0.003954724 0.0026326922 0.00124438 0.001103372 0.0014672637 0.000998753 0.0006137425 0.0011420355 0.0019906831 0.0011420355 0.0009701615 0.003527801 0.0012398313 0.0014818844 0.0026528363 0.0011962943 0.0016482349 0.0023198102 0.0020020546 0.0012424305 0.0023428784 0.0014282753 0.0012453547 0.001516649 0.001742132 0.0021203195 0.0023467771 0.0015764312 0.003910862 0.0019542938 0.0031054267 0.0028130135 0.0053800754 0.0023146118 0.0018490251 0.0031083508 0.004096382 0.0026492623 0.0015510888 0.003013479 0.0021372144 0.0036769316 0.0035528187 0.0025820073 0.0013522479 0.004062917 0.0038530293 0.0065266592 0.005495741 0.0018197839 0.0021534597 0.0017434316 0.0017863188 0.0011043466 0.0017626008 0.0017395328 0.0018233578 0.0017570775 0.0012599754 0.002972216 0.0013779153 0.001728486 0.0035307251 0.0023860906 0.0031268701 0.0022986915 0.0010328679 0.0020056285 0.0030453196 0.0017954161 0.0069496837 0.0013753161 0.004008658 0.0012044169 0.0011540569 0.0014396469 0.000981858 0.0012226114 0.0011004477 0.001516649 0.0011884966 0.0019692394 0.0011121443 0.0011946697 0.0015030031 0.0011680276 0.0010435897 0.001432824 0.0010218212 0.0010939497 0.0010299437 0.0013623199 0.001533544 0.0013951352 0.0011917456 0.0012499033 0.0014451703 0.001220987 0.0011394361 0.001277845 0.0010790041 0.0015715577 0.0012248858 0.0014185281 0.0015247716 0.0013564717 0.0011735511 0.0014341236 0.0012369072 0.0013912363 0.001096549 0.0011218914 0.0013301545 0.0012680979 0.0011540569 0.0013785651 0.0010312434 0.0011036968 0.0010868019 0.0011114945 0.0013883122 0.0012505532 0.001069582 0.0040687653 0.001516974 0.0015562873 0.0019955565 0.0016820248 0.000871066 0.0020842552 0.0018477256 0.0014341236 0.001631015 0.0011124692 0.0011205918 0.0037363889 0.00095976464 0.0014477695 0.0011007726 0.0014250262 0.0010575606 0.0010916754 0.0010741306 0.0010445644 0.0008515718 0.0013749911 0.0011131191 0.0012875921 0.0009399455 0.0008414998 0.0010952493 0.0010179223 0.00080251135 0.0013402265 0.0010536617 0.0018772918 0.00083305227 0.00086716714 0.00084962236 0.0011667281 0.00078236737 0.00095554086 0.002996909 0.0042650066 0.0012664734 0.0008350017 0.003231489 0.0017713733 0.00078334205 0.0009581401 0.0019981558 0.0018704688 0.0011339128 0.00097178604 0.0012755707 0.0012856427 0.00084117486 0.0015182735 0.0016745521 0.002092053 0.0010799789 0.0008570951 0.0009971285 0.0021703546 0.00094319455 0.0013944854 0.14050804 0.042837415 4.4211884e-05 3.2508738e-06 2.600699e-06 8.939903e-06 2.7632427e-06 1.1703146e-05 6.9893786e-06 7.1519225e-06 2.113068e-06 1.3003495e-06 2.2756117e-06 9.752622e-07 6.5017474e-07 1.3003495e-06 9.102447e-06 0.01137562 0.00021374495 2.9582952e-05 2.421901e-05 2.681971e-05 1.5929281e-05 1.9992875e-05 1.6579457e-05 2.812006e-05 6.9893786e-06 6.826835e-06 7.964641e-06 7.802098e-06 6.339204e-06 1.056534e-05 0.00018692524 0.008421388 0.00032508737 8.874886e-05 6.908107e-05 0.000116056195 3.787268e-05 5.4939766e-05 3.7059963e-05 2.6332078e-05 2.0805592e-05 1.186569e-05 8.939903e-06 1.1052971e-05 4.5512234e-06 6.0141165e-06 8.1109305e-05 0.01628314 0.0010911558 0.00049608335 9.606332e-05 0.00012873461 0.00016156843 0.00016465675 0.00020074146 8.9886664e-05 4.9900915e-05 5.1363808e-05 5.9328446e-05 6.5505104e-05 4.323662e-05 5.591503e-05 0.00027031015 0.020177849 0.00051510095 0.000613765 0.00051575113 0.000626931 0.00074201194 0.00047202688 0.0006968248 0.00022122197 7.720826e-05 6.0141167e-05 5.8678273e-05 6.843089e-05 4.9900915e-05 5.997862e-05 0.00034377992 0.01136473 0.0002698225 0.00022853643 0.00015019038 0.000284614 0.0002358509 0.00054630934 0.0003969317 0.00017327158 6.631783e-05 7.2494484e-05 6.518002e-05 9.15121e-05 7.330721e-05 0.00059425976 0.00036669857 0.029358316 0.00052241544 0.00032524992 0.00026169536 0.00030720758 0.0027859989 0.007118276 0.0005201398 0.00024137738 4.6487497e-05 5.689029e-05 7.8996236e-05 0.0001443388 7.542027e-05 0.00010695375 0.009980995 0.08207026 0.0011464206 0.0014702077 0.00057686755 0.0013105898 0.0026621406 0.0074931015 0.008809868 0.0029061188 0.0003954688 0.0015895148 0.0021831244 0.0022860144 0.002252693 0.003017136 0.037287198 0.120747045 0.0020321212 0.002488869 0.0014214446 0.00232535 0.0008961034 0.003919091 0.0047131167 0.006106279 0.008728433 0.009521321 0.0077726766 0.0070412303 0.004761067 0.0041985037 0.0616629 0.019805135 0.00075339 0.0014698826 0.0013908864 0.0018425953 0.00090861926 0.00375736 0.0026148404 0.0010641735 0.001034428 0.0005585001 0.00047999152 0.0011057848 0.0004939703 0.0007871991 0.005208875 0.019791808 0.0010306896 0.001919641 0.0019815702 0.0032086126 0.0020465876 0.0061860876 0.004207606 0.0008772483 0.0009724989 0.00072949607 0.00057166617 0.0012172897 0.000539645 0.00066805456 0.0036520318 0.011682828 0.0010682371 0.0014149428 0.001670624 0.0016946805 0.0012187526 0.002618904 0.0019874217 0.0009807886 0.0009996437 0.00064936205 0.00054208323 0.00082897284 0.0005848322 0.0010747389 0.0039392463 0.011561571 0.0015191333 0.0016538821 0.0013310703 0.0020085524 0.0014967023 0.0027406493 0.0019407717 0.001873316 0.0011322794 0.001346837 0.0010186613 0.0013213176 0.0008593685 0.00165567 0.006486956 0.027458668 0.005283808 0.003998575 0.0043018814 0.0076499563 0.007918804 0.0045999866 0.0064763906 0.013871641 0.00221417 0.0023162477 0.0023458307 0.006698588 0.0027739706 0.0063533452 0.018241465 0.018151091 0.0042152456 0.00342252 0.00445451 0.0053619915 0.0063416422 0.0042583197 0.0055702096 0.008970786 0.0017380797 0.0017787156 0.0017247511 0.0048226714 0.002355258 0.0043109837 0.010073158 0.0037586603 0.0025966354 0.002529505 0.002548035 0.0028323238 0.0025742045 0.0027032641 0.0026221548 0.0025494979 0.002525929 0.002414424 0.0025309678 0.0024583107 0.002535519 0.002535194 0.0028952283 10551.0 15.058383 158881.0 0.036404606 0.0012336277 0.0098123755 0.0027630744 0.0053373277 0.0045065177 0.0015042705 0.0020770263 0.0024043152 0.0017812073 0.0022595527 0.0028260145 0.0035561207 0.0069108326 0.012355159 0.0046072216 0.012594332 0.0058471435 0.0057590273 0.006275137 0.0038015873 0.0026686639 0.0032036556 0.0017308552 0.003952644 0.0031658914 0.005022627 0.005368798 0.004261051 0.0084843375 0.004028172 0.0055198544 0.009642437 0.015495874 0.0047582784 0.010064136 0.033163186 0.01334332 0.007924169 0.009717965 0.0040722303 0.01401678 0.0023917272 0.0036568248 0.0074647064 0.007118535 0.008119284 0.0067597763 0.011725757 0.0041918163 0.0077353492 0.015124527 0.008421397 0.0038141755 0.008144461 0.0072632977 0.005349916 0.003707177 0.0022092005 0.001674209 0.0052177417 0.0020770263 0.00091263273 0.013072677 0.0021273782 0.03629761 0.009541732 0.023281576 0.021922067 0.060995337 0.008553572 0.012990855 0.012481039 0.03856975 0.003675707 0.0032099495 0.028027266 0.014381833 0.037764113 0.034730397 0.01761696 0.0011706875 0.039834846 0.030865869 0.046745677 0.014929413 0.007326238 0.01282721 0.0074206484 0.009063387 0.002385433 0.0013028618 0.0062059024 0.00066087197 0.011046003 0.001674209 5.9330387 6.0 94.0 0.0 63.0 3077838.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16777056 0.013490098 0.006033152 0.0056472523 0.019981032 0.0033457258 0.0042587696 0.0035348923 0.01629859 0.001689888 0.0013506492 0.0024730375 0.00843809 0.002958565 0.0015032436 0.00755279 0.008477184 0.0017970823 0.0008701662 0.00086638285 0.0049649915 0.0030190982 0.0009218717 0.00063433853 0.0028601983 0.0013544325 0.0004993997 0.0006910885 0.0017882545 0.0005750663 0.00060281076 0.0015927824 0.00390692 0.00043634418 0.0015045047 0.0007137885 0.0035248036 0.00092691614 0.0004968775 0.00044769418 0.0014906324 0.00058011076 0.0007263996 0.0023254876 0.0012812881 0.0005952441 0.0011476105 0.00059902744 0.004557653 0.0036029923 0.0025966263 0.0068276515 0.0026092373 0.0017857323 0.0022258598 0.0021035322 0.0031439483 0.0023507099 0.0022107265 0.0049624695 0.0025852763 0.0022636931 0.001967332 0.002741654 0.008839123 0.004442892 0.0036168646 0.0026294151 0.002466732 0.0172646 0.006043241 0.003234748 0.0065224627 0.009288078 0.005323147 0.0041490532 0.0012711993 0.006890707 0.0019484155 0.0011501326 0.0127220815 0.0037997256 0.00193076 0.0037770255 0.002547443 0.005664908 0.005793541 0.0042184144 0.0014149658 0.0018374379 0.0006040719 0.0022082042 0.0022107265 0.00583768 0.004422714 0.0047569084 0.0013090326 0.0028992929 0.00096474943 0.0021615431 0.005710308 0.004751864 0.0036496534 0.0013002048 0.0046434086 0.0029106427 0.005977663 0.00043003864 0.0024642097 0.0014464936 0.0026420262 0.0029282982 0.0027504817 0.0005750663 0.0064140074 0.0037757645 0.012304654 0.010270483 0.0014729769 0.0013834381 0.002147671 0.001097166 0.00048300528 0.0005750663 0.0013292104 0.0024061985 0.0017264601 0.0008424217 0.0026445484 0.0012648937 0.0006721718 0.014292164 0.002364582 0.008166951 0.00095213833 0.000765494 0.0018298712 0.012772526 0.0011223883 0.050512515 0.0007970218 0.015002169 0.00045526086 0.00034428312 0.0014237936 0.00025096096 0.00035437202 0.0010795104 0.0007554051 0.000788194 0.00035815535 0.00022195543 0.0010732049 0.0003644609 0.00096474943 0.00027492206 0.0008348551 0.00044769418 0.00027113874 0.00028879428 0.0013203826 0.002819843 0.00032032203 0.0014389269 0.0009105217 0.0003505887 0.0003531109 0.00029005538 0.0012472381 0.00041364421 0.00074657734 0.0005220997 0.00088908285 0.0003165387 0.00027239983 0.00027870538 0.0015587325 0.00029509983 0.00030644983 0.00038589977 0.00090169394 0.0006368607 0.0010908605 0.00077306066 0.0026912095 0.00062424963 0.00033671648 0.00037959422 0.0010177161 0.00044012754 0.0003518498 0.00028501096 0.007151757 0.0042234585 0.0045210808 0.0042461585 0.0056459913 0.0014086603 0.004787175 0.012227726 0.004493336 0.002239732 0.0008625995 0.0008903439 0.040252123 0.0006847829 0.0025499652 0.0012270604 0.0023292708 0.0012434549 0.0011438271 0.00043256086 0.0014464936 0.00031906093 0.0009584439 0.000422472 0.0026004096 0.0007062218 0.000559933 0.00093952724 0.0010429383 0.00025978874 0.00034176093 0.00034176093 0.002307832 0.00039598867 0.00041364421 0.00041994976 0.0015372935 0.0029926149 0.0004388664 0.0003266276 0.01585594 0.0037227978 0.0004489553 0.0029560428 0.00746199 0.00033041093 0.0005359719 0.0005233608 0.004993997 0.0014225325 0.0005813719 0.00060028856 0.0039157476 0.0003531109 0.002433943 0.0024969985 0.0042827306 0.002088399 0.0018134767 0.0016608824 0.007367407 0.0013052493 0.0041490532 0.047439188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00223485 6.3167045e-07 2.4635146e-05 2.5266818e-06 1.2633409e-05 3.1583522e-06 6.6325396e-05 3.5373545e-05 1.8950113e-06 0.0 1.2633409e-06 0.0 6.3167045e-07 6.3167045e-07 2.5266818e-06 0.00020023953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010182528 4.421693e-06 1.2633409e-05 2.1476795e-05 4.8638623e-05 2.4003477e-05 9.8540586e-05 5.1165305e-05 5.0533636e-06 6.3167045e-07 1.8950113e-06 6.3167045e-07 6.3167045e-07 2.5266818e-06 2.5266818e-06 6.3167045e-07 0.008305203 0.00017623605 0.00016991935 7.832713e-05 0.0011622736 5.1796975e-05 5.5587e-05 6.0008693e-05 0.0001004356 0.00014465253 6.0008693e-05 0.000121912395 0.00011243734 8.401217e-05 5.4323657e-05 0.0009058154 0.04084381 0.001236179 0.0017655189 0.00047375282 0.0043901093 0.0005148114 0.0024540396 0.0013334563 0.00037458056 0.0011723803 0.00057987345 0.00046933113 0.00048133289 0.00047248948 0.0005148114 0.005019253 0.015235891 0.00039732072 0.001843846 0.00050280965 0.0015974946 0.00062219537 0.003965627 0.002355499 0.00019076448 0.00019518616 0.00010233061 0.00013265079 0.00019581783 8.9065536e-05 0.00016486598 0.0008691785 0.0055132196 7.895881e-05 0.00056092336 0.00057797844 0.0009595074 0.00077695464 0.004028794 0.0022601169 4.5480272e-05 0.00014149418 7.643212e-05 8.2748826e-05 4.042691e-05 5.937702e-05 3.3478533e-05 0.00028804172 0.006760137 0.0002735133 0.0013012411 0.00221969 0.0056136553 0.0030061195 0.008128967 0.0049725096 0.00010169894 0.00014402086 0.00013075578 0.00011812237 0.00014149418 0.0003594205 0.00011875404 0.00024508813 0.011188147 0.0019423866 0.0021394677 0.022016874 0.0042176633 0.0021318877 0.0036940088 0.00279072 0.0024894131 0.002004922 0.0015899146 0.0015823344 0.0022967537 0.0015412759 0.001732672 0.002618274 0.032942247 0.0040351106 0.0013094528 0.0029404259 0.011293636 0.008842754 0.0029126324 0.006380503 0.020550767 0.00084580673 0.0009885642 0.0008748636 0.015606049 0.0013486164 0.004828489 0.009785207 0.12864222 0.020754796 0.009292504 0.016728528 0.050888002 0.043461453 0.016714 0.025830267 0.083278164 0.0042865155 0.007610997 0.007460028 0.07295731 0.009541382 0.029981606 0.06118802 0.013460897 0.0025917438 0.0022285334 0.002963166 0.004966193 0.004350946 0.0040092124 0.003450184 0.00695406 0.0007775863 0.0013126112 0.0012140706 0.0056995624 0.001556436 0.0032688945 0.005878957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2502.0 18.842926 47145.0 0.013278184 0.0010393467 0.0015484145 0.0007848128 0.013172128 0.0011666137 0.0019302153 0.0009969244 0.0040301196 0.0009969244 0.0008908686 0.00080602395 0.0033089404 0.0030544067 0.010414678 0.0036907413 0.019874854 0.016396224 0.015696255 0.011687348 0.015611412 0.010541945 0.01374483 0.010372256 0.014593276 0.011581291 0.0129812285 0.010414678 0.012790328 0.009375331 0.011454024 0.025326122 0.05922155 0.017308304 0.004836144 0.008123873 0.011475236 0.0054724785 0.0040725423 0.0020786934 0.005154311 0.004475554 0.0013575141 0.0015484145 0.0052179447 0.0023968609 0.0020574823 0.0019938487 0.010096511 0.0027362392 0.0036695302 0.005154311 0.006066391 0.0064481916 0.010796479 0.0058330684 0.0069148373 0.0011454024 0.004602821 0.0006999682 0.003775586 0.0008908686 0.00091207976 0.028019939 0.00311804 0.032834873 0.009396543 0.026450314 0.023332274 0.047703892 0.011411603 0.009460176 0.010754056 0.03296214 0.0019938487 0.0019514265 0.020341499 0.013172128 0.02271715 0.030544067 0.013872096 0.0011241913 0.03735285 0.036398344 0.05442783 0.012323682 0.005260367 0.004475554 0.006617881 0.0046452433 0.0015059921 0.0006363347 0.0034149962 0.00065754587 0.00067875703 0.00036058968 5.854798 3.0 41.0 0.0 3.0 792952.0 802816.0 1.0 8.0 360.0 1.0 1.0 1.0 1.0 0.0 1543513300.0 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 14.0 0.0 5.0 1.0 5.0 1.0 603648.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -604160.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.628766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.549911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.020298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.243157 0.0 4.356333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -34216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -603343.0 0.0 1624.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -3.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -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 1.0 -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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 -2.0 4.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 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 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 844.0 717216.0 420.0 718060.0 1624.0 761856.0 0.0 0.0 14712.0 778240.0 34216.0 765952.0 112.0 651856.0 0.0 0.0 0.0 0.0 24.0 652060.0 64.0 651968.0 0.0 0.0 1520.0 610304.0 0.0 0.0 0.0 0.0


Input: 0.1170354 0.018362831 0.0103982305 0.014933628 0.0153207965 0.0061393804 0.003152655 0.0028207966 0.014657079 0.0027654867 0.002710177 0.0026548672 0.0117809735 0.001659292 0.0012168142 0.026272124 0.010840708 0.0024336283 0.0018252212 0.0011615044 0.007964602 0.0014380531 0.000829646 0.0012168142 0.0088495575 0.0009955752 0.0014933628 0.0012168142 0.0053097345 0.0011061947 0.00055309734 0.0007743363 0.005420354 0.0012168142 0.0014933628 0.001880531 0.02693584 0.001050885 0.00038716814 0.0006084071 0.003761062 0.0006637168 0.00044247787 0.0014380531 0.001880531 0.00038716814 0.00071902655 0.0007743363 0.0044247787 0.002931416 0.0053650443 0.009513275 0.0037057523 0.0012168142 0.0006084071 0.003926991 0.0032079646 0.00088495575 0.0025995576 0.0038716814 0.003982301 0.0006637168 0.001880531 0.00055309734 0.0040929206 0.0048672566 0.0023783187 0.0024336283 0.012776549 0.0131637165 0.003926991 0.007079646 0.0023230088 0.00038716814 0.00027654867 0.0006084071 0.0051438054 0.004369469 0.0012721239 0.00038716814 0.023949115 0.0059734513 0.0024336283 0.00829646 0.0027654867 0.009402655 0.013716814 0.00829646 0.0024336283 0.010121682 0.00088495575 0.003761062 0.0024889382 0.004369469 0.0044247787 0.0037057523 0.001050885 0.00044247787 0.00022123894 0.00022123894 0.0009955752 0.00027654867 0.0061393804 0.00022123894 0.006028761 0.00044247787 0.0053097345 0.0017699115 0.0011061947 0.00044247787 5.5309734e-05 0.00038716814 0.0012168142 0.00022123894 0.0014933628 0.0009955752 0.011946903 0.0125 0.0011615044 0.0011615044 0.0023783187 0.0012168142 0.00011061947 0.00022123894 0.0023230088 0.0006084071 0.00088495575 0.001050885 0.0057522124 0.0048672566 0.0006637168 0.0137721235 0.0040376107 0.0051991153 0.00210177 0.00071902655 0.0056969025 0.006692478 0.006526549 0.03915929 0.00027654867 0.0075774337 0.00027654867 0.00011061947 0.000829646 0.00055309734 0.0001659292 0.0006084071 0.001880531 0.0011061947 0.0012168142 0.0018252212 0.0006084071 0.0006084071 0.00022123894 0.0001659292 0.0007743363 0.00011061947 0.00022123894 0.00022123894 0.0007743363 0.00011061947 0.00044247787 0.00011061947 0.0011615044 0.0001659292 0.0003318584 0.0001659292 0.0009955752 0.00055309734 0.0009402655 0.0006637168 0.0007743363 0.00027654867 0.00044247787 0.00044247787 0.0014380531 0.00027654867 0.00022123894 0.0011615044 0.00038716814 0.00022123894 0.011559734 0.0054756636 0.0014933628 0.0012168142 0.0003318584 0.0006637168 0.0018252212 0.0006637168 0.0003318584 0.0003318584 0.011227876 0.008185841 0.001659292 0.014048672 0.007688053 0.00055309734 0.001880531 0.008794248 0.004811947 0.0044247787 0.0017146018 0.0011061947 0.0024889382 0.00055309734 0.0012168142 0.0009402655 0.002710177 0.0014933628 0.0023783187 0.001880531 0.00027654867 0.0004977876 0.0011061947 0.0007743363 0.0025442478 0.0006084071 0.0009955752 0.0022123894 0.000829646 0.00022123894 0.00071902655 0.00027654867 0.003152655 0.0025995576 0.012665929 0.0009955752 0.0006084071 0.00027654867 0.0006084071 0.0006637168 0.010287611 0.001659292 0.00044247787 0.0051438054 0.0044247787 0.0006637168 0.00044247787 0.00038716814 0.0029867257 0.00088495575 0.0003318584 0.00071902655 0.00038716814 0.00055309734 0.0037057523 0.0014380531 0.00210177 0.0013827434 0.0014933628 0.0021570798 0.0046460177 0.0007743363 0.0024889382 0.05221239 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049682617 0.004211426 0.006866455 0.005645752 0.0095825195 0.012237549 0.0034484863 0.0025634766 0.010070801 0.0010375977 0.0009765625 0.0010986328 0.0055236816 0.0022277832 0.004272461 0.005554199 0.03744507 0.0121154785 0.0067443848 0.00579834 0.015167236 0.021331787 0.003967285 0.009918213 0.020446777 0.0005493164 0.00018310547 0.008087158 0.015472412 0.0016174316 0.00793457 0.020721436 0.1458435 0.032836914 0.03665161 0.02658081 0.041137695 0.07662964 0.018615723 0.028381348 0.0798645 0.009216309 0.0072021484 0.020629883 0.055847168 0.015777588 0.035003662 0.057281494 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 157.0 5.8471336 918.0 0.019607844 0.01416122 0.01416122 0.013071896 0.04248366 0.0043572984 0.0021786492 0.0021786492 0.0043572984 0.0010893246 0.0010893246 0.0043572984 0.006535948 0.0010893246 0.006535948 0.0021786492 0.029411765 0.03050109 0.039215688 0.041394334 0.021786492 0.006535948 0.006535948 0.01416122 0.01198257 0.003267974 0.0076252725 0.02396514 0.005446623 0.0010893246 0.0021786492 0.006535948 0.0043572984 0.01633987 0.022875817 0.003267974 0.006535948 0.003267974 0.0021786492 0.0664488 0.009803922 0.0010893246 0.0010893246 0.0010893246 0.005446623 0.0 0.0 0.0021786492 0.1546841 0.013071896 0.0021786492 0.027233116 0.0010893246 0.015250545 0.01633987 0.019607844 0.0043572984 0.050108932 0.0 0.009803922 0.0043572984 0.019607844 0.008714597 0.020697167 0.0043572984 0.003267974 0.0 0.003267974 0.0021786492 0.0021786492 0.0076252725 0.0010893246 0.017429193 0.0010893246 0.0076252725 0.0010893246 0.0010893246 0.0010893246 0.0 0.0010893246 0.0021786492 0.0 0.0021786492 0.0021786492 0.017429193 0.003267974 0.0010893246 0.0010893246 0.003267974 0.0010893246 0.0010893246 0.0 0.0043572984 0.0010893246 0.0010893246 0.0 5.3444824 0.0 0.0 0.0 1.0 18080.0 18080.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 0.0 0.0 0.0 0.0 15360.0 576.0 0.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.833413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.382025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.65852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15331.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 424.0 17632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16338435 0.01812594 0.0068677873 0.010536879 0.010505519 0.0048921225 0.013296538 0.0037004517 0.0031673356 0.0050175614 0.0046098847 0.0036063723 0.0015993477 0.005080281 0.0027596587 0.0018815856 0.0028223784 0.0017247867 0.0008780733 0.007275464 0.0015993477 0.0021638235 0.0021324637 0.0016620673 0.0016620673 0.0012230306 0.001693427 0.001034872 0.0025087807 0.0028223784 0.0024460612 0.0021638235 0.03107752 0.0015052684 0.0054252385 0.0020070246 0.0013484696 0.0014111892 0.0015993477 0.002979177 0.0016307075 0.0014425489 0.0026655796 0.0031986954 0.0018502258 0.003512293 0.00918841 0.0045785247 0.022390869 0.011446312 0.0047353236 0.0026342198 0.0021638235 0.002728299 0.0015052684 0.0025715001 0.0021951832 0.0020070246 0.003512293 0.001034872 0.0014111892 0.0017561466 0.001693427 0.0010975916 0.0013171099 0.006773708 0.0018502258 0.0058015552 0.0032927748 0.0040767686 0.002728299 0.0014739087 0.002979177 0.0028223784 0.0010662319 0.0017561466 0.0020070246 0.006271952 0.0025715001 0.0016307075 0.0034495734 0.0013171099 0.003135976 0.005111641 0.0077458606 0.009376568 0.0021324637 0.0029164576 0.0011916709 0.0009407928 0.0018502258 0.0012543903 0.0011916709 0.0013171099 0.0007526342 0.0032927748 0.0011916709 0.014268691 0.004954842 0.0115403915 0.012230306 0.04014049 0.0075263423 0.0067109885 0.008686653 0.02348846 0.0010662319 0.003386854 0.010850477 0.009533367 0.021669593 0.021418715 0.00652283 0.0010975916 0.024021575 0.020666081 0.029415455 0.0096901655 0.0026655796 0.004296287 0.0025087807 0.0037945309 0.001944305 0.0042022076 0.0011916709 0.004139488 0.0008467135 0.0009407928 0.0017875063 0.002320622 0.005331159 0.001160311 0.0011916709 0.0011916709 0.0050175614 0.0009721525 0.001160311 0.0011916709 0.0012230306 0.00072127447 0.000909433 0.0008780733 0.000909433 0.0012230306 0.001160311 0.00081535376 0.0012230306 0.0011289513 0.0011916709 0.0012230306 0.0009721525 0.0011289513 0.001160311 0.0010975916 0.001160311 0.0008780733 0.0009721525 0.0008780733 0.0008467135 0.0009407928 0.0025087807 0.0014425489 0.0010975916 0.0014739087 0.0010662319 0.0011916709 0.00081535376 0.0010662319 0.0009407928 0.0013484696 0.0011289513 0.0011289513 0.000909433 0.00081535376 0.001160311 0.0012230306 0.001034872 0.0014111892 0.00081535376 0.0013484696 0.00081535376 0.001034872 0.0012543903 0.0008780733 0.001034872 0.0007526342 0.0007526342 0.0011916709 0.0026342198 0.0013798294 0.0011289513 0.0013171099 0.0011916709 0.0011289513 0.0009407928 0.0035436528 0.0012857501 0.0010035123 0.001034872 0.00081535376 0.0013798294 0.001034872 0.0012230306 0.0010662319 0.001160311 0.000909433 0.00081535376 0.0011289513 0.0010975916 0.0008467135 0.001160311 0.0010035123 0.0009407928 0.0009407928 0.0010662319 0.0010662319 0.0013171099 0.0006899147 0.0006899147 0.0012857501 0.000783994 0.000909433 0.0012857501 0.0010662319 0.0011916709 0.0012543903 0.0014739087 0.001034872 0.0010662319 0.0010662319 0.00065855496 0.001034872 0.0010975916 0.0009407928 0.0010662319 0.0010662319 0.001034872 0.0013798294 0.000783994 0.0009721525 0.0011289513 0.000909433 0.0014425489 0.0010035123 0.0010662319 0.0009721525 0.00081535376 0.0021638235 0.0009721525 0.0011289513 0.001034872 0.0009721525 0.000909433 0.0009721525 0.0008467135 0.0015052684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02639974 0.00011393229 0.0004720052 0.0006510417 0.00069986976 0.00056966144 0.0026855469 0.001529948 3.2552085e-05 0.0 3.2552085e-05 4.8828126e-05 3.2552085e-05 3.2552085e-05 1.6276043e-05 1.6276043e-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 0.023291016 0.0006347656 0.00078125 0.0016438802 0.0007324219 0.0008626302 0.0028808594 0.0017578125 0.00026041668 6.510417e-05 0.00016276042 3.2552085e-05 0.00013020834 1.6276043e-05 1.6276043e-05 6.510417e-05 0.03494466 0.0005371094 0.022672527 0.0049479166 0.009749349 0.007861328 0.07496745 0.04067383 0.00013020834 0.00017903646 0.0001953125 0.0013671875 0.0014973958 6.510417e-05 0.00014648438 6.510417e-05 0.039892577 0.0011393229 0.011735026 0.0033528646 0.0061035156 0.0045084637 0.038720705 0.022672527 0.00056966144 0.0005533854 0.0004394531 0.0009765625 0.0012369792 0.00048828125 0.0005371094 0.00040690103 0.026416015 0.0009928385 0.0035481772 0.0018229167 0.0034993489 0.0032389322 0.013574218 0.009114583 0.0006184896 0.0005045573 0.0005045573 0.0006347656 0.00069986976 0.00048828125 0.00045572917 0.0005533854 0.00694987 0.0006347656 0.003515625 0.0010253906 0.0014160157 0.0013509115 0.010058594 0.0061686197 0.00024414062 0.00032552084 0.00017903646 0.00026041668 0.00035807292 0.00024414062 0.00035807292 0.00024414062 0.013606771 0.001578776 0.0016276041 0.002701823 0.0013834635 0.0014485677 0.0032226562 0.001985677 0.0010904948 0.0005533854 0.00078125 0.0006510417 0.000764974 0.00068359374 0.0005533854 0.00069986976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0457194 0.015120443 0.015576172 0.02626953 0.012125651 0.013623047 0.029378256 0.01788737 0.011767578 0.0059733074 0.007421875 0.006217448 0.0069661457 0.005924479 0.0061686197 0.0071940105 0.039322916 0.01484375 0.016308594 0.022102864 0.012646484 0.013525391 0.026904296 0.018164063 0.011914062 0.008251953 0.009195964 0.008105469 0.0076009114 0.007747396 0.008414714 0.008284505 377.0 29.771883 11224.0 0.08285816 0.0007127584 0.010869565 0.0014255168 0.000890948 0.0009800427 0.0009800427 0.004811119 0.000890948 0.0011582323 0.0005345688 0.0011582323 0.0021382752 0.0067712045 0.019422665 0.009444049 0.028153956 0.022273699 0.008820385 0.0037419815 0.0025837491 0.0037419815 0.0021382752 0.0028510336 0.0032965075 0.0032074128 0.0073057734 0.0002672844 0.000445474 0.000890948 0.0007127584 0.0007127584 0.000445474 0.01095866 0.0011582323 0.009889523 0.005256593 0.0050784033 0.0024946544 0.000445474 0.0006236636 0.0020491802 0.0008018532 0.0020491802 0.0014255168 0.011225944 0.0021382752 0.0016037064 0.004543835 0.0005345688 0.0054347827 0.007573058 0.010513186 0.0025837491 0.0011582323 0.0042765504 0.0007127584 0.0003563792 0.0023164647 0.000890948 0.0 0.0008018532 0.0003563792 0.001781896 0.0005345688 0.028332146 0.009889523 0.025570206 0.026461154 0.092391305 0.017729865 0.013542409 0.019511761 0.05568425 0.0003563792 0.0057911617 0.019244475 0.020759087 0.04846757 0.044458304 0.012295082 0.0007127584 0.049982183 0.044903778 0.06441554 0.01968995 0.0037419815 0.00890948 0.0019600855 0.004811119 0.0023164647 0.009444049 0.0005345688 0.009354954 0.0003563792 0.0001781896 5.292646 2.0 20.0 0.0 2.0 31888.0 40960.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1528203000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 13312.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2075187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2929773 0.0 3.2819178 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12804.0 0.0 1072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 20904.0 1072.0 24576.0 0.0 0.0 16016.0 15872.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0