Input: 0.04262655 0.004516086 0.004199297 0.0038972425 0.0053485786 0.0044497815 0.0036541251 0.0043687425 0.00466343 0.003411008 0.0036688596 0.0030426485 0.0041256254 0.0031973596 0.003167891 0.0043982114 0.004383477 0.0031163206 0.0032562972 0.0030647502 0.0034699456 0.0030426485 0.003138422 0.0032636642 0.0037130627 0.0032783987 0.0030868517 0.003175258 0.0034552112 0.002976344 0.0030131799 0.003175258 0.0042508673 0.0036172892 0.003882508 0.003573086 0.0039782817 0.003602555 0.0030647502 0.0031236878 0.003838305 0.003521516 0.0039340784 0.0038898753 0.0038088362 0.0035804533 0.0035509847 0.003219461 0.005252805 0.0060779303 0.0044497815 0.0058569144 0.0035067815 0.0033005003 0.0038235707 0.004059321 0.0038604066 0.004936016 0.003573086 0.004707633 0.003521516 0.0039046097 0.003919344 0.0042066644 0.008936399 0.0033962736 0.004029852 0.0038972425 0.0036172892 0.003926711 0.003639391 0.0033373362 0.0035141488 0.0031163206 0.00372043 0.0029100392 0.0038456721 0.003293133 0.003293133 0.0033594377 0.005989524 0.0036541251 0.0042877034 0.0049433834 0.0038162034 0.0043392736 0.0038677738 0.003558352 0.0037056955 0.0037720003 0.0039782817 0.0033005003 0.0034257425 0.004781305 0.0036172892 0.0043392736 0.003293133 0.0034404767 0.0033447035 0.0032783987 0.0033889066 0.0045897583 0.0032562972 0.002895305 0.0037941018 0.003801469 0.004464516 0.003020547 0.0034552112 0.0029910784 0.0032636642 0.0036172892 0.003521516 0.003573086 0.003948813 0.0039046097 0.006350516 0.0054001487 0.003329969 0.0031826252 0.003057383 0.0033962736 0.0031089534 0.0030500158 0.0034773129 0.0029837112 0.0032268283 0.0030500158 0.0050759926 0.00508336 0.004471883 0.0057390393 0.0037425314 0.004862344 0.0030131799 0.0037351644 0.0041329926 0.006387352 0.003639391 0.00969522 0.0032341955 0.0045234533 0.0031605237 0.0034773129 0.0033078673 0.002865836 0.0030131799 0.002666922 0.003138422 0.0030500158 0.0028805705 0.0029837112 0.0031826252 0.002666922 0.0029174064 0.0026742893 0.003057383 0.003020547 0.0033152346 0.0037720003 0.0026595548 0.0037056955 0.0029542423 0.0030131799 0.0028437346 0.0033594377 0.0028732033 0.0030647502 0.0029174064 0.002865836 0.0034699456 0.0027111252 0.003521516 0.003175258 0.00324893 0.0031236878 0.0031973596 0.0038898753 0.0027626955 0.003219461 0.0032415628 0.0035804533 0.0029837112 0.0037720003 0.0041256254 0.0040445863 0.0033373362 0.004493985 0.0035362502 0.0036983283 0.0031826252 0.0038162034 0.005444352 0.0032783987 0.0034699456 0.004545555 0.0035509847 0.0031899924 0.0037130627 0.0041329926 0.0035067815 0.0029837112 0.0035804533 0.0031163206 0.0038309377 0.0029984454 0.0034183753 0.0031310548 0.0032415628 0.0030794847 0.0034183753 0.0034699456 0.0032857659 0.003329969 0.0034699456 0.003882508 0.0033447035 0.0027626955 0.0032341955 0.0031899924 0.0035509847 0.0034699456 0.0033815394 0.0036467582 0.0029321408 0.0038235707 0.0032415628 0.0031089534 0.0029910784 0.0032857659 0.0031899924 0.0032415628 0.0074997973 0.0053412113 0.0037056955 0.0054296176 0.0031089534 0.0035951878 0.0030721175 0.0033815394 0.004074055 0.004309805 0.0035509847 0.0036172892 0.00395618 0.003609922 0.0040519536 0.004081422 0.004081422 0.003219461 0.0036762268 0.0033520705 0.004110891 0.003602555 0.004074055 0.016752986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036080629 7.4546756e-06 2.9818702e-05 6.709208e-05 0.00061873806 0.000275823 0.0021134005 0.00090947043 0.0 0.0 0.0 0.0 3.7273378e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035074248 2.9818702e-05 0.00031682372 0.00011182013 0.0004733719 0.00023854962 0.0016773021 0.0007491949 2.9818702e-05 1.8636689e-05 2.2364027e-05 2.2364027e-05 2.9818702e-05 1.8636689e-05 2.6091364e-05 0.00036155176 0.003928614 0.00020873091 0.0002944597 0.00014909351 0.00036900645 0.00034664242 0.00020873091 0.00026091366 0.00063737476 3.7273378e-05 1.1182014e-05 5.5910066e-05 0.00035409708 6.336474e-05 0.00014536617 0.00056282803 0.008546785 0.00043982585 0.00065601146 0.004677809 0.0009020157 0.0005926467 0.0010175632 0.0007752863 0.0008982884 0.00030191435 0.0004137345 0.00083492365 0.0007491949 0.00048828125 0.0005218273 0.0010846553 0.0032353292 0.00020127624 0.00017518488 0.0007901956 0.00017518488 0.00020873091 0.00019009423 0.00020500358 0.00023482228 0.00014909351 0.0001379115 0.0008796517 0.00035409708 0.00014909351 0.0001677302 0.00038018846 0.0065228413 0.0010101085 0.0007417402 0.002173038 0.0020910364 0.0020313992 0.00080137764 0.002105946 0.0062693823 0.0014685711 0.0004249165 0.0009057431 0.0020649452 0.0008125596 0.002612864 0.0061314707 0.018979603 0.0025867724 0.0032166925 0.0035707897 0.0075217676 0.007059578 0.0033061486 0.0058221016 0.013164957 0.0012113848 0.0016027553 0.002307222 0.00592274 0.002933415 0.0067725726 0.0132581405 0.05185845 0.04824666 0.053196564 0.05777001 0.049782325 0.054739684 0.04660663 0.0478702 0.05306238 0.04545861 0.047039002 0.052033637 0.048563484 0.049495317 0.050807342 0.05263001 777.0 6.972973 5418.0 0.022517534 0.007936508 0.011443337 0.006644518 0.007198228 0.007751938 0.007013658 0.006090808 0.007013658 0.007013658 0.011627907 0.006459948 0.008490218 0.007382798 0.0107050575 0.0059062387 0.019010706 0.016611295 0.014211887 0.016980436 0.008121078 0.006275378 0.010520487 0.011997047 0.011443337 0.012550756 0.010889627 0.008674787 0.006275378 0.008859358 0.007936508 0.010335918 0.009413067 0.012919896 0.0110741975 0.0110741975 0.009597638 0.007567368 0.010889627 0.009043927 0.006829088 0.0055370987 0.008121078 0.006644518 0.006829088 0.0053525288 0.007382798 0.0059062387 0.010335918 0.009782207 0.009228498 0.013658176 0.0107050575 0.009782207 0.007382798 0.007198228 0.007751938 0.011812477 0.010889627 0.009228498 0.0053525288 0.012366187 0.008490218 0.010335918 0.006275378 0.018641565 0.009597638 0.0145810265 0.012919896 0.03783684 0.006644518 0.008859358 0.010151347 0.021040974 0.009413067 0.008859358 0.021225544 0.008121078 0.014950166 0.016426725 0.007751938 0.009597638 0.019748986 0.016795866 0.027500924 0.011627907 0.006459948 0.008305647 0.010151347 0.008121078 0.006275378 0.007013658 0.008305647 0.004798819 0.006275378 0.0053525288 6.446821 0.0 0.0 0.0 1.0 135737.0 81920.0 0.0 0.0 8.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 19456.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -1536.0 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 -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 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.591187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8617022 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8884313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.526933 0.0 0.0 0.0 0.0 0.0 0.0 -4.542549 2.8057237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 -1320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 32276.0 0.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19428.0 0.0 0.0 0.0 0.0 0.0 0.0 -1856.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1856.0 61440.0 1024.0 77824.0 0.0 0.0 0.0 0.0 1320.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24468784 0.018462082 0.007012729 0.005497373 0.009403624 0.0039146687 0.005337419 0.0034853178 0.010422279 0.002635035 0.0026097791 0.0020457301 0.007484173 0.0027697333 0.0011112607 0.0068780305 0.009908742 0.0013385641 0.0009428879 0.00086712016 0.004562904 0.0052869073 0.00086712016 0.00076609646 0.0033085265 0.0014732624 0.00072400324 0.00086712016 0.002660291 0.0012122844 0.0010018185 0.0011701912 0.0059351427 0.00079135236 0.00053037447 0.0009092134 0.020549906 0.0010607489 0.00066507276 0.00058930495 0.0021299166 0.0004546067 0.0005135372 0.0020625673 0.001481681 0.0011701912 0.001389076 0.00064823544 0.0025761046 0.0007829337 0.0009092134 0.0066002156 0.0015490302 0.0015827047 0.00085870153 0.00056404906 0.0018015894 0.0022982894 0.00089237606 0.004209321 0.0018857758 0.0015827047 0.0011449354 0.0009765625 0.0056825834 0.02083614 0.0010691675 0.002188847 0.008949017 0.0076862206 0.0028875943 0.002331964 0.0026518723 0.001599542 0.0010186557 0.0007829337 0.0053290008 0.0040325294 0.001153354 0.0013554014 0.0093531115 0.003645272 0.0032832704 0.0047902074 0.0037126213 0.0036284348 0.005792026 0.004613416 0.0015237742 0.0038473194 0.0005724677 0.0021720098 0.0017847521 0.0038641568 0.0033758755 0.0031654094 0.0026687095 0.004680765 0.0024919182 0.002306708 0.0034011314 0.0066002156 0.0027108027 0.0017005657 0.007837756 0.0034684807 0.00867962 0.00088395743 0.0039904364 0.0012207031 0.0031906655 0.003131735 0.002070986 0.00047144396 0.003695784 0.0029465249 0.013318292 0.013495084 0.0015237742 0.0011280981 0.0017679149 0.0014395878 0.0006398168 0.0004209321 0.002896013 0.0028202452 0.00096814387 0.0012964709 0.0042514144 0.0035863416 0.00068191 0.014353785 0.0063392376 0.007694639 0.0011786099 0.00064823544 0.00254243 0.0134782465 0.0035189926 0.029743062 0.0019194505 0.0126448 0.0010775862 0.0005051185 0.001835264 0.0005724677 0.00065665407 0.0004966999 0.0017594963 0.00047986262 0.0006398168 0.0004546067 0.0009849812 0.0013133081 0.0005387931 0.0009428879 0.0011196794 0.00034516433 0.0003367457 0.0006061422 0.0009849812 0.0018436826 0.00039567618 0.0009765625 0.001481681 0.000799771 0.0008081897 0.00024414062 0.000917632 0.0003030711 0.0014480065 0.0015658675 0.0005135372 0.0006734914 0.00035358296 0.00026939655 0.00074925914 0.0005051185 0.00069032866 0.0010439117 0.001271215 0.0012038659 0.0013554014 0.0011280981 0.0018268453 0.0017679149 0.00079135236 0.00066507276 0.0011786099 0.00038725755 0.0010523302 0.0011112607 0.010026603 0.003013874 0.002517174 0.006002492 0.004604997 0.00038725755 0.0027360588 0.004891231 0.0020794047 0.0027192214 0.00088395743 0.000917632 0.010759025 0.00046302532 0.0010523302 0.00058930495 0.0014311692 0.0010607489 0.0014985183 0.001835264 0.0007071659 0.0010860049 0.001153354 0.001010237 0.0016753098 0.00075767783 0.0004966999 0.0010439117 0.0011786099 0.0003030711 0.0004377694 0.00040409484 0.0022477775 0.00089237606 0.00072400324 0.00038725755 0.0022477775 0.00096814387 0.0005977236 0.0004209321 0.012240706 0.0024161504 0.00056404906 0.004638672 0.003552667 0.00048828125 0.0004546067 0.00048828125 0.0028791756 0.0009092134 0.0006145609 0.0029044317 0.0014059133 0.00053037447 0.0031569907 0.0019362877 0.004891231 0.0025761046 0.00074925914 0.0012291218 0.003838901 0.0009007947 0.0022561962 0.03826273 0.026086956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00794837 4.2459237e-06 7.218071e-05 7.642663e-05 8.491848e-05 3.396739e-05 0.00032693613 0.00014011549 4.2459237e-06 0.0 0.0 0.0 0.0 0.0 4.2459237e-06 0.0 0.01555282 0.0001953125 0.00022078805 0.00013162364 0.0002844769 8.491848e-05 0.00032693613 0.00022503396 3.396739e-05 6.793478e-05 5.9442933e-05 4.670516e-05 4.245924e-05 2.5475543e-05 4.245924e-05 5.0951086e-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 0.01371858 0.00022927989 0.00023777173 0.00023352582 0.00054347824 0.00024626357 0.0005222486 0.0006453804 0.000114639945 0.00014011549 0.00010190217 0.00013162364 0.00011039402 9.765625e-05 9.341032e-05 0.00022503396 0.012699558 0.0006751019 0.00091711956 0.00027598505 0.00041610055 0.00015285326 0.0010190217 0.0005264946 0.00025900136 4.2459237e-06 2.5475543e-05 4.2459237e-06 2.5475543e-05 0.0 2.5475543e-05 0.00036514946 0.017297894 0.00041185462 0.00020805027 0.00012313179 0.0007642663 0.0004415761 0.0018851903 0.0011209239 0.0011591372 0.00076851225 9.341032e-05 0.00011039402 0.00015285326 0.000114639945 0.00012737772 0.0013077445 0.011264436 0.00045855978 0.00045855978 0.00020805027 0.0007133152 0.0003693954 0.0009298573 0.0008067255 0.00057744567 8.91644e-05 3.396739e-05 5.9442933e-05 0.00022503396 0.00011039402 0.00021229619 0.0008746603 0.028201427 0.0014054008 0.0022036345 0.0011209239 0.003511379 0.0022206183 0.009693445 0.004763927 0.0019658627 0.00082370924 0.0002505095 0.00042459238 0.0007090693 0.00036090353 0.00029721466 0.0029169498 0.010750679 0.0005519701 0.0011506454 0.0009595788 0.0018002717 0.001227072 0.0031165082 0.0018299932 0.0005477242 0.000836447 0.00027598505 0.00040336276 0.00041185462 0.00032693613 0.00023777173 0.0016601563 0.015731148 0.0008067255 0.0016474185 0.0012737772 0.003944463 0.0023564878 0.007646909 0.0042841374 0.0020465353 0.00034816575 0.00042034648 0.0004288383 0.0005137568 0.00044582202 0.00038637908 0.0011973506 0.006746773 0.00076851225 0.00084069296 0.00043308423 0.0013459579 0.001167629 0.0009298573 0.00065387227 0.0017323369 0.00011039402 0.00029296876 0.0001953125 0.0009510869 0.000114639945 0.0003736413 0.0007345448 0.09074813 0.015692934 0.020359205 0.009039572 0.027390456 0.02438434 0.019327445 0.0135699725 0.048305877 0.003944463 0.004704484 0.0053243884 0.024002207 0.0064453124 0.011667799 0.022919497 0.07507642 0.014839504 0.011332371 0.015111243 0.0279679 0.02564538 0.012134851 0.021289062 0.047070313 0.004700238 0.0058721127 0.008241339 0.025675101 0.006746773 0.018830672 0.03598845 0.0011803668 0.0009553329 0.0011209239 0.0010996943 0.0010572351 0.001002038 0.0010529892 0.0011209239 0.0010105299 0.0010699729 0.0011888586 0.0011846127 0.0010487433 0.0011379076 0.0010529892 0.0011081861 628.0 11.480892 7210.0 0.021914009 0.0009708738 0.00110957 0.0009708738 0.023162274 0.0038834952 0.0002773925 0.0002773925 0.00332871 0.0009708738 0.00013869625 0.0020804438 0.0027739252 0.0038834952 0.0072122053 0.001664355 0.0067961165 0.0019417476 0.0051317615 0.00443828 0.0020804438 0.0006934813 0.0031900138 0.0009708738 0.0029126212 0.0030513175 0.00110957 0.0006934813 0.00443828 0.0024965326 0.0034674064 0.0006934813 0.0019417476 0.027877947 0.002635229 0.012760055 0.016088765 0.01151179 0.009847434 0.009708738 0.007489598 0.009847434 0.00221914 0.002635229 0.014563107 0.010263523 0.0045769764 0.0051317615 0.023578363 0.009292649 0.016088765 0.024687933 0.014285714 0.005270458 0.014701803 0.0138696255 0.0013869626 0.002635229 0.000554785 0.0002773925 0.008183079 0.000554785 0.00041608876 0.0040221913 0.00221914 0.03592233 0.0049930653 0.018585298 0.022468794 0.08044383 0.0069348128 0.014979196 0.021081831 0.04147018 0.013453537 0.0036061027 0.034951456 0.011373093 0.042857144 0.04257975 0.013453537 0.000554785 0.041054092 0.029126214 0.055478502 0.018585298 0.005963939 0.0067961165 0.008044383 0.008599168 0.0013869626 0.0002773925 0.0020804438 0.0006934813 0.000554785 0.0018030513 5.6605473 2.0 0.0 11.0 3.0 118784.0 126976.0 0.0 0.0 162.0 0.0 1.0 0.0 0.0 0.0 1111553400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 86016.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 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 -86016.0 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 0.0 0.0 5.201057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3531961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5939903 0.0 3.754974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12002.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84735.0 0.0 5528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 98400.0 5528.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 98184.0 0.0 0.0 676.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.3391493 0.034114584 0.024522569 0.011284722 0.015407986 0.0067708334 0.014019097 0.00859375 0.007595486 0.00390625 0.016710069 0.004253472 0.0033854167 0.0045572915 0.004123264 0.0016927083 0.0034288194 0.0075086807 0.011675348 0.0061631943 0.0026909723 0.0025607639 0.0036024305 0.0022569445 0.0014756945 0.000998264 0.00017361112 0.0016927083 0.0023003472 0.0015190972 0.0013020834 0.00086805556 0.008984375 0.00086805556 0.0016059028 0.0012586806 0.00056423614 0.00078125 0.00091145834 0.00052083336 0.0047309026 0.0016059028 0.0061631943 0.004079861 0.0034288194 0.002951389 0.0065104165 0.00086805556 0.0050347224 0.003862847 0.0011284723 0.0012152778 0.0018229167 0.0018663194 0.00052083336 0.0012152778 0.0009548611 0.0019097222 0.00069444446 0.000998264 0.00086805556 0.0013888889 0.00073784724 0.00026041668 0.0010850695 0.005425347 0.002126736 0.0043836804 0.004513889 0.0023871528 0.0028645834 0.0016059028 0.0013454861 0.0031684027 0.000390625 0.00043402778 0.001953125 0.0026475694 0.0014322917 0.0013888889 0.00234375 0.000390625 0.002126736 0.0053385417 0.0028645834 0.001171875 0.0014756945 0.0013888889 0.00086805556 0.0008246528 0.00034722223 0.00047743056 0.0010416667 0.00017361112 8.680556e-05 0.0053819446 0.000998264 0.011935764 0.005295139 0.009157986 0.0055555557 0.031814236 0.0016927083 0.0049045137 0.0016059028 0.01592882 0.0011284723 0.0012152778 0.009678819 0.007942708 0.014496528 0.025130209 0.008159722 0.00069444446 0.015755208 0.016796876 0.025651041 0.009071181 0.0022569445 0.0024739583 0.002951389 0.0050347224 0.00073784724 0.0012152778 0.000390625 0.0006076389 0.002126736 0.00030381946 0.0051215277 0.0010850695 0.00017361112 0.0006510417 0.00026041668 0.00017361112 0.00034722223 0.00013020834 0.001171875 0.00034722223 4.340278e-05 0.00013020834 0.00069444446 0.00026041668 0.00017361112 0.00013020834 0.00030381946 0.00043402778 8.680556e-05 0.00021701389 0.00030381946 8.680556e-05 0.00013020834 0.000390625 0.00026041668 0.00030381946 0.00030381946 0.00017361112 0.00013020834 4.340278e-05 0.00030381946 4.340278e-05 0.0017361111 0.00017361112 0.00021701389 0.00043402778 0.00047743056 0.00017361112 0.00013020834 0.000390625 0.00021701389 0.0006510417 0.00030381946 0.00013020834 0.00026041668 0.00026041668 0.001171875 0.00021701389 0.00030381946 0.00021701389 0.00013020834 0.000390625 0.00026041668 0.00017361112 0.00013020834 0.00017361112 0.00043402778 0.000390625 8.680556e-05 0.0016493056 0.00056423614 0.00017361112 0.00017361112 0.00013020834 0.0015190972 0.00047743056 0.00013020834 0.00047743056 0.00013020834 0.00030381946 0.00017361112 0.000390625 0.0010416667 0.00047743056 0.00034722223 0.000998264 0.000998264 0.00043402778 0.00026041668 8.680556e-05 0.00030381946 0.0030381945 0.00021701389 0.00026041668 0.00021701389 0.00026041668 0.00073784724 0.002951389 0.00030381946 0.0006076389 0.000390625 0.001171875 0.00043402778 8.680556e-05 0.00073784724 8.680556e-05 0.0008246528 0.000390625 0.00030381946 0.00034722223 4.340278e-05 8.680556e-05 0.00013020834 8.680556e-05 0.00043402778 0.00030381946 0.00017361112 0.00034722223 0.00043402778 0.00026041668 0.00013020834 0.00026041668 0.00017361112 0.00013020834 0.00017361112 0.00013020834 0.00091145834 0.00017361112 0.00013020834 0.00021701389 0.00052083336 0.000390625 4.340278e-05 0.00017361112 0.00013020834 0.00043402778 0.0032986111 0.01484375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035714287 0.00032552084 0.00055803574 0.0008370536 0.0011160715 0.0010463169 0.00499907 0.002046131 0.00030226936 0.00011625744 0.0002092634 9.3005954e-05 4.6502977e-05 2.3251489e-05 9.3005954e-05 9.3005954e-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 0.10139974 0.009323847 0.01032366 0.005301339 0.0107421875 0.0073242188 0.05457124 0.03392392 0.000906808 0.00030226936 9.3005954e-05 0.00044177828 0.00030226936 0.0014415922 0.00025576638 0.0014415922 0.12060547 0.013555618 0.010997954 0.005324591 0.008068266 0.00609189 0.031133743 0.020856585 0.0033482143 0.000999814 0.0017903646 0.000906808 0.0014415922 0.0014183407 0.0013485863 0.010207403 0.13992746 0.013602121 0.0146484375 0.0077892486 0.011021205 0.007091704 0.035551526 0.023484003 0.0044177826 0.0014415922 0.0029296875 0.0024181549 0.003952753 0.0052548363 0.0017206101 0.01046317 0.0819615 0.01671782 0.009928386 0.0056966147 0.007859003 0.0063476562 0.02764602 0.017461868 0.0023018974 0.00086030504 0.0023716518 0.0017671131 0.0027901786 0.0045107887 0.0013718378 0.00088355655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 357.0 16.714285 5967.0 0.011396011 0.0001675884 0.003686945 0.000837942 0.0001675884 0.0 0.0 0.0 0.0 0.0001675884 0.0 0.0 0.001675884 0.0018434725 0.018937489 0.0010055305 0.005865594 0.007876655 0.0026814144 0.0015082957 0.001675884 0.0011731188 0.000837942 0.0010055305 0.0010055305 0.0010055305 0.0011731188 0.0 0.002011061 0.0031841795 0.002011061 0.0003351768 0.0003351768 0.015082956 0.006535948 0.01256913 0.01474778 0.006535948 0.0055304174 0.0031841795 0.0023462377 0.006200771 0.0 0.000837942 0.0048600635 0.008044244 0.004022122 0.0031841795 0.005865594 0.0 0.006535948 0.016256075 0.007541478 0.0018434725 0.00418971 0.0035193565 0.0013407072 0.0 0.0 0.0 0.001675884 0.0 0.0 0.019440254 0.0010055305 0.040723983 0.018769901 0.030668678 0.018099548 0.11429529 0.004524887 0.016088488 0.004524887 0.051784817 0.0031841795 0.0028490028 0.03150662 0.027484499 0.04709234 0.057315234 0.01994302 0.0013407072 0.052622758 0.05463382 0.09234121 0.032009386 0.007876655 0.007876655 0.008547009 0.016256075 0.0011731188 0.0 0.0 0.0 0.0 0.0 5.0941105 1.0 0.0 0.0 1.0 23040.0 57344.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542604400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 17920.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -17920.0 512.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7425876 5.2569585 4.056394 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 -17540.0 158.0 2696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 25640.0 2696.0 40960.0 0.0 0.0 0.0 0.0 12.0 49152.0 28.0 32768.0 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: 0.17592792 0.007911293 0.0044893087 0.0025628516 0.003157426 0.0062324232 0.0021925305 0.002378297 0.004696288 0.001852211 0.0020094914 0.0017976629 0.0019764595 0.004385061 0.0016722023 0.005502388 0.0049663014 0.0018822125 0.0014152201 0.00105096 0.0026395218 0.004248691 0.0006754873 0.0015409838 0.001999491 0.002607096 0.0005782099 0.0006209392 0.0026040657 0.0006627594 0.0005642698 0.00076094596 0.0046829544 0.07264322 0.00064639497 0.00054335967 0.0073027783 0.00062912144 0.000525177 0.0016976581 0.008746182 0.0005627546 0.00072639884 0.00066700205 0.0006097265 0.0006763964 0.00071276183 0.000619727 0.0026710385 0.00056184543 0.0006436676 0.0027195257 0.0010227768 0.00064457674 0.0006054839 0.0005045699 0.0014867388 0.0010264134 0.0007982205 0.002836198 0.0005491175 0.00071336795 0.00049396337 0.0005669972 0.0063209124 0.0047844746 0.0008036753 0.0014173414 0.0053981403 0.0026180057 0.000808524 0.0008733757 0.030393595 0.0045468872 0.00063427316 0.001083992 0.004787808 0.0018794851 0.0009594405 0.00091701414 0.002047372 0.00056214846 0.0008979223 0.001211574 0.001300063 0.0011118721 0.00093974255 0.0014670409 0.001279456 0.0006900335 0.0004424457 0.0006712447 0.0021270728 0.00072882324 0.00088125485 0.0016137146 0.0015146189 0.0016915972 0.0005869982 0.0013109726 0.0017088708 0.0029898419 0.0013309736 0.00079367484 0.0012646067 0.0017973599 0.00052578305 0.0006506376 0.0018910008 0.0009245903 0.0014270389 0.00148189 0.002013734 0.00052638917 0.0030207525 0.0722432 0.008031601 0.0022113193 0.0072088344 0.0006424554 0.0020552513 0.0020625242 0.0005700276 0.0006500315 0.0012267261 0.0006179087 0.000505176 0.000727308 0.003960495 0.00091762026 0.001111266 0.0042326297 0.002708313 0.005206313 0.0005966956 0.0006300305 0.000916105 0.007301566 0.0013982496 0.022699585 0.00064154627 0.0075394562 0.0006088174 0.00096186483 0.0011949064 0.000619727 0.0005936652 0.00056033017 0.000619424 0.00059790775 0.00070457964 0.00057578547 0.0007867048 0.0006145752 0.000599423 0.00059487735 0.00070609484 0.00060457474 0.0007260958 0.00068215426 0.0011524801 0.0006982157 0.0006688203 0.00072518666 0.0007445816 0.0007239745 0.00067366904 0.0007239745 0.0010276256 0.0007036705 0.0006627594 0.0007224593 0.00075761246 0.0007112466 0.00075943075 0.0007536729 0.0010530814 0.0005936652 0.0006209392 0.000619424 0.0006282123 0.00063881883 0.0006270001 0.00091762026 0.0013006692 0.001239454 0.073331736 0.0011073264 0.007293081 0.0007770074 0.0008515564 0.0009794415 0.0037856381 0.0026489163 0.0008991345 0.0021846513 0.001906153 0.0009064076 0.0012949113 0.0019519128 0.0035347168 0.002021613 0.0008903462 0.001582198 0.012415754 0.0008854975 0.0012740012 0.001386734 0.0013976435 0.00086428435 0.0013312767 0.00085034425 0.0008176154 0.0008467077 0.00095125823 0.00096944097 0.0016288669 0.0010179281 0.001071264 0.0018206943 0.0011200543 0.0010091398 0.00090004364 0.0007827652 0.0014755261 0.0008064027 0.00071973185 0.0007651886 0.0008170093 0.0008257976 0.0010291408 0.0011870272 0.0063154576 0.0023452651 0.00090398325 0.0020316136 0.0017043251 0.0008430712 0.0008842853 0.00091580197 0.0021470739 0.0010752036 0.0015670457 0.0023413256 0.0015406808 0.0013918857 0.0028807458 0.0025470932 0.0018682724 0.0010870224 0.0022437451 0.002026765 0.0030625728 0.0012482423 0.0015900771 0.12406541 0.0040114555 1.2127445e-06 1.0611514e-05 9.0955837e-07 2.122303e-06 0.0 0.0 1.5159306e-06 4.5477918e-07 0.0 0.0 7.579653e-07 6.2153154e-06 0.0 1.5159306e-07 6.063722e-07 0.002378192 9.550363e-06 1.1824259e-05 6.973281e-06 4.5477918e-07 0.0 3.031861e-07 1.3188596e-05 1.1521072e-05 1.5159306e-06 6.063722e-07 1.03083285e-05 1.8191167e-06 6.063722e-07 3.031861e-07 3.653393e-05 0.0027908282 6.382068e-05 5.199642e-05 4.3961986e-06 1.9707097e-06 1.9707097e-06 1.8191167e-06 2.1223028e-05 4.1384905e-05 2.273896e-06 1.9707097e-06 1.8191167e-05 1.9858691e-05 2.5770821e-06 3.6382335e-06 7.670609e-05 0.0066296193 0.00014750005 0.00013158278 2.2890552e-05 9.701956e-06 4.850978e-06 1.4401341e-05 7.1703515e-05 0.00013794968 9.853549e-06 8.0344325e-06 5.3209165e-05 5.836333e-05 9.095584e-06 1.7130016e-05 0.0032298418 0.007781272 0.0004067242 0.0007449283 2.4103298e-05 1.9707099e-05 2.1071435e-05 1.5159306e-05 0.0007337104 0.00039065533 9.550363e-06 2.3648518e-05 0.0007326493 2.1980994e-05 1.6068865e-05 1.9252318e-05 0.006114961 0.008239083 0.00031137216 0.0028212985 4.320402e-05 4.047535e-05 3.774667e-05 7.0945556e-05 0.0025490373 0.0003277442 3.7291895e-05 4.411358e-05 0.0025520693 0.00026528785 5.730218e-05 6.184997e-05 0.016692063 0.015585889 0.00020131559 0.040623758 0.000100657795 0.00013476623 0.00010990497 0.00020828887 0.039585043 0.00015902112 7.124874e-05 8.655964e-05 0.039484687 0.0007302238 0.00015598926 0.00020207356 0.025242973 0.015179468 0.00056331983 0.018387025 0.00023648518 0.0005903034 0.00027226112 0.0006562464 0.017766101 0.00029681923 0.00021920356 0.00017357405 0.017534466 0.00071294216 0.00029196823 0.00043113067 0.034108743 0.018257413 0.0006736796 0.014198055 0.00040050887 0.0023387778 0.0009200183 0.0018100211 0.0146686 0.0004215803 0.00033395953 0.00033259517 0.014103916 0.00046372318 0.0013658535 0.0012189598 0.016663715 0.01594653 0.0006855038 0.0039094333 0.00042976634 0.0016581248 0.0012133509 0.005631379 0.0058734734 0.0005569529 0.00034623855 0.0003801954 0.0035421234 0.00064048066 0.00073795504 0.00059773144 0.0059724636 0.015405342 0.0018072925 0.0018694457 0.000781917 0.0011575646 0.0012856608 0.003126152 0.0026195282 0.00067443756 0.00076888 0.000702937 0.0018423104 0.0014468041 0.0017775802 0.0022728348 0.0056156134 0.012814768 0.0012407892 0.00091592525 0.0008602906 0.0009830811 0.0007030886 0.0012946047 0.001027801 0.0012047101 0.001161506 0.0028370642 0.0014827318 0.002225083 0.0022907227 0.0024887032 0.0058978796 0.017022083 0.0027098777 0.001323559 0.0011642347 0.0036091276 0.0011049618 0.0011029912 0.0016590345 0.004210649 0.0018724775 0.0018148721 0.0021514087 0.0032977555 0.0019754092 0.0022661646 0.006735886 0.08114216 0.017858723 0.014967238 0.011956903 0.054558493 0.010618943 0.006408142 0.015932582 0.049939454 0.0043240404 0.0041992795 0.007478086 0.027294027 0.007019365 0.012227042 0.022725012 0.0037625397 0.001129823 0.0010972306 0.0008055655 0.0021480736 0.0007753985 0.0006265341 0.00085604604 0.002075309 0.0006903548 0.0006460896 0.0006935382 0.0014160308 0.0007620583 0.00079404446 0.002522357 0.0016403885 0.0010085487 0.00096231274 0.0010070327 0.0009946021 0.0009045558 0.00092123105 0.0009742886 0.0010044556 0.0009306298 0.000877269 0.00093153934 0.0009809587 0.00091880554 0.0009744402 0.0011129963 6062.0 13.986143 84784.0 0.04474901 0.0070886016 0.0014743347 0.00079024344 0.012891583 0.001026137 0.00083742215 0.0014743347 0.0032081525 0.0022173994 0.000990753 0.002087658 0.0014625401 0.0024297037 0.004139932 0.0014861295 0.009459332 0.0020286846 0.0024532932 0.006852708 0.0032789207 0.0015922815 0.001686639 0.0017692017 0.003951217 0.0077491035 0.005236837 0.0023943197 0.0023589355 0.0014743347 0.0018517645 0.0017809964 0.0053311945 0.051011983 0.0031020003 0.0133515755 0.013658238 0.010497264 0.007583978 0.0053311945 0.020735044 0.009624457 0.0014625401 0.0027363654 0.0076193623 0.0059799016 0.004293263 0.0038568599 0.0093060015 0.003149179 0.008928572 0.012360822 0.013044914 0.013894131 0.015167956 0.019284299 0.0028661068 0.0015686922 0.0009199849 0.0021466315 0.0064988676 0.008055765 0.0128090205 0.020746838 0.0022881676 0.039005 0.005472731 0.016948953 0.028425174 0.075226456 0.01828175 0.009801378 0.00824448 0.040679846 0.0031020003 0.004069164 0.030725136 0.011228533 0.029923098 0.03136205 0.018812511 0.0018045858 0.034711737 0.022952443 0.05864314 0.014354124 0.004882997 0.00403378 0.0065578413 0.006829119 0.0028307228 0.0014389508 0.0026302133 0.0012974147 0.001026137 0.0012148519 5.7278404 0.0 0.0 0.0 8.0 3299840.0 3317760.0 1.0 0.0 568.0 1.0 1.0 0.0 0.0 0.0 1541046000.0 0.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 6.0 1.0 1160192.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212992.0 0.0 0.0 0.0 0.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160192.0 0.0 1874944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4301763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1587186 0.0 0.0 0.0 0.0 5.952714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.81680644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.352741 0.0 4.2546883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212574.0 0.0 0.0 0.0 0.0 34380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160099.0 0.0 1874600.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -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 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 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 -3.0 0.0 -1.0 -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 -2.0 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 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 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 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 2.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 2.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 4.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 2.0 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 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 520.0 1364720.0 1874600.0 1429504.0 34380.0 1392640.0 0.0 0.0 11816.0 3305472.0 56.0 1342864.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 1219008.0 0.0 0.0 4744.0 1219216.0 0.0 0.0 0.0 0.0


Input: 0.03203073 0.0031925854 0.0026544898 0.00333722 0.0025633222 0.0029512993 0.0031651666 0.0037077176 0.0027727338 0.002902288 0.0029016025 0.0033560705 0.0032364556 0.0033403046 0.0036885242 0.004000757 0.0027747902 0.0029766618 0.0028316844 0.0034715724 0.0029975686 0.0032673017 0.0036521943 0.0037988853 0.003573365 0.0033896586 0.003355385 0.0038112237 0.0040922672 0.0037656398 0.003884912 0.0041728104 0.0027405166 0.0028755546 0.002735033 0.0033128858 0.0033478448 0.0030400679 0.003132264 0.0036696738 0.00273092 0.0030239592 0.0028488212 0.0036371138 0.003374921 0.003444839 0.0036117514 0.0037872323 0.0031003894 0.0036922945 0.0031576264 0.0040634773 0.0030493217 0.0033529857 0.003625461 0.0037608417 0.0037594705 0.0039311815 0.0036134652 0.003955173 0.004189947 0.0039469474 0.0051263017 0.0043099048 0.0030733133 0.0029005744 0.0027405166 0.0033406473 0.0029067437 0.0030846235 0.003278955 0.003662819 0.002728521 0.002957126 0.0029499284 0.0035246965 0.0033375628 0.003521612 0.003755015 0.004099122 0.0029252514 0.003320426 0.00309045 0.0035761069 0.0029766618 0.0032580479 0.003481169 0.0039157583 0.0036665893 0.0037899741 0.0034609477 0.003956201 0.0042499257 0.0041193436 0.0043476056 0.0045110905 0.0033588123 0.004131339 0.0040127523 0.004683144 0.0035315512 0.004026119 0.0039520883 0.0049645305 0.0036090096 0.003677214 0.0034362706 0.0042900257 0.0041090613 0.004068276 0.003939064 0.0044151247 0.003642255 0.0043997015 0.0038619486 0.0046471567 0.0037934014 0.003993559 0.0038328161 0.00438325 0.0041947453 0.0043335534 0.003869146 0.00444837 0.00521884 0.0046735476 0.0045395377 0.004562158 0.0034510083 0.0030548056 0.0028251724 0.0037454185 0.0029890002 0.0033543569 0.0033063737 0.004010696 0.0032960917 0.0038101955 0.0033769773 0.004605343 0.003777293 0.004091582 0.00406382 0.004440487 0.0034129645 0.003324196 0.0030174474 0.0035953 0.0032275445 0.0033622396 0.0036237473 0.0040645055 0.003505846 0.0037896314 0.0034239322 0.003906847 0.004206741 0.0040360587 0.0044589946 0.005447788 0.0030990185 0.0033937714 0.0031192398 0.0036960645 0.0031792186 0.0033653243 0.0034362706 0.0040422278 0.0031339775 0.0033663525 0.0031668802 0.003803341 0.003961342 0.0037687246 0.003980193 0.0043476056 0.0034893947 0.004122771 0.00358776 0.004435346 0.0036765286 0.0037272535 0.003935637 0.0041765803 0.003937008 0.004109747 0.003639856 0.0039702533 0.004208112 0.0040871263 0.00477911 0.004678003 0.0034619758 0.0037656398 0.0034314725 0.003952431 0.0039808783 0.0039870474 0.0042386157 0.004714333 0.0033975416 0.0036316302 0.0035096162 0.0038903959 0.00405251 0.0036878388 0.0041138595 0.0056890743 0.003416392 0.0035092735 0.0033231678 0.0037536442 0.003261818 0.0033183694 0.0038424127 0.004195088 0.0037742082 0.003782434 0.0035647966 0.0038876538 0.0037622126 0.0034688306 0.003971967 0.004912092 0.0035764496 0.0037008629 0.004028861 0.0044607082 0.003738221 0.0036802986 0.004067933 0.004846972 0.0037697528 0.0037156004 0.0034434681 0.0041028922 0.0039178147 0.0038184212 0.003756386 0.0049319705 0.004057651 0.0045337114 0.0041615 0.0047184457 0.0038790854 0.004017551 0.0041330527 0.004708164 0.004832577 0.0046656644 0.0042242208 0.004758889 0.0043592583 0.0044445996 0.004948079 0.016058208 0.004906129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0286824e-06 5.143412e-07 1.0286824e-06 0.0 5.143412e-07 5.143412e-07 5.143412e-07 0.002112228 0.00032643523 3.4289414e-07 0.0 0.0 2.7431531e-06 3.4289414e-07 8.229459e-06 0.0 1.3029977e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00066641474 2.9146001e-06 6.857883e-07 1.0286824e-06 9.772483e-06 1.0286824e-06 1.0286824e-06 1.0286824e-06 2.0402202e-05 1.2001295e-06 5.143412e-07 1.405866e-05 1.0286824e-06 9.258141e-06 1.0286824e-06 0.0003219776 0.00057966256 3.0860472e-06 7.715118e-06 1.7144707e-07 2.9146001e-06 1.7144707e-06 1.3715766e-05 1.2687083e-05 4.800518e-06 5.6577533e-06 9.258141e-06 3.2574942e-06 3.9432825e-06 1.1829848e-05 7.886565e-06 0.0003850701 0.0018619151 1.11440595e-05 8.058012e-06 6.1720943e-06 2.4688377e-05 1.5258789e-05 7.183632e-05 3.8918486e-05 4.7147943e-05 8.915247e-06 8.7438e-06 3.737546e-05 1.577313e-05 4.6290706e-06 4.971965e-06 0.0006434409 0.0011325793 3.4289415e-06 1.0115377e-05 5.4863062e-06 1.8859177e-05 7.372224e-06 4.629071e-05 2.571706e-05 3.394652e-05 1.285853e-05 1.4230107e-05 4.1833086e-05 3.20606e-05 3.0517578e-05 1.6630365e-05 0.0006748157 0.003821898 5.1777013e-05 4.5947814e-05 3.5146648e-05 7.749408e-05 3.20606e-05 0.00011864137 3.566099e-05 0.00013098556 2.7945873e-05 0.00012292755 0.00014401553 0.00023848287 0.00018053377 7.3722236e-05 0.00083186117 0.0031151932 0.00025699916 6.1035156e-05 5.8120557e-05 9.738193e-05 2.1430884e-05 9.052405e-05 5.0405437e-05 8.8123794e-05 0.00015173065 0.00019202071 0.00021139423 0.0001606459 0.000137672 8.77809e-05 0.00048639532 0.0024710665 0.0003326073 0.0003187201 0.00012498492 0.00015704552 8.332328e-05 8.863813e-05 0.00025888506 0.00024894116 0.0017852783 0.0028016164 0.002663773 0.0019171211 0.00063761167 5.6406087e-05 0.0011522957 0.0034877476 0.00033792216 0.00032060602 0.0002746582 0.0005289142 0.00080082926 0.0022325837 0.0017048697 0.0006909317 0.0011858994 0.0017528748 0.0009947359 0.0004217598 0.0002400259 0.00012344189 0.0021072559 0.0029562619 0.0005416013 0.00035729568 0.00040307204 0.0012061301 0.003045757 0.0039617987 0.0020806817 0.0017016121 0.0016743521 0.0007958573 0.00045553487 0.00025237008 0.0001843056 0.00016836102 0.0012824241 0.0031040492 0.0008246604 0.000393471 0.000856721 0.0009904497 0.0016196604 0.0022133817 0.0014897035 0.0012409339 0.0008748944 0.00053011434 0.00047387969 0.00061035156 0.000239683 0.00039655706 0.0020487926 0.0008887816 0.0006137805 0.00021688054 0.0002568277 0.00026677165 0.00020419346 0.00025974232 0.00016664655 0.00014710159 7.3722236e-05 5.6920428e-05 0.000117098345 0.00016407484 0.000117098345 0.00022493856 0.0004389045 0.0035621556 0.0010231961 0.001003994 0.0007012185 0.0009726192 0.0007872849 0.0007226494 0.0005918353 0.0014202675 0.0004965107 0.00033672203 0.00052582816 0.00075162394 0.0005124553 0.0006598998 0.001030054 0.0023328802 0.001127093 0.0012030441 0.0020208466 0.0010264536 0.0011454378 0.0012330473 0.0016767523 0.0017569895 0.0016122882 0.00053200027 0.00095307425 0.002231212 0.0008656362 0.0016764094 0.0024832394 0.044477656 0.050697412 0.047369283 0.055897232 0.046487186 0.050890803 0.053153735 0.060266558 0.050658837 0.052493148 0.049717423 0.057931963 0.056716233 0.056581646 0.060059965 0.0665026 12329.0 10.231649 126146.0 0.008323688 0.0059613464 0.00592171 0.0058424366 0.005652181 0.0061833113 0.0061833113 0.006991898 0.005636326 0.0064607677 0.0058424366 0.0071900813 0.007229718 0.0071028806 0.008846892 0.0077846306 0.007792558 0.0069681164 0.006658951 0.007855976 0.0069522616 0.006421131 0.007174227 0.007277282 0.007840122 0.007261427 0.0074913194 0.0083316155 0.008442598 0.00802245 0.009512787 0.009021292 0.006436986 0.006793715 0.006492477 0.0073407004 0.006785788 0.0070949537 0.0068492065 0.0076895026 0.0063339304 0.0072534997 0.008355398 0.009504859 0.0097506065 0.01039272 0.011716583 0.012033675 0.00956035 0.009393877 0.010765304 0.011867202 0.009544496 0.009837807 0.009837807 0.011288507 0.012112948 0.0124379685 0.012905681 0.014562491 0.015656462 0.01628272 0.016869342 0.01713887 0.015949773 0.018898737 0.017812693 0.01947743 0.017947458 0.020666528 0.01592599 0.016322356 0.014610055 0.016005265 0.012953245 0.013745977 0.014451508 0.012802625 0.014673473 0.013500229 0.011994039 0.012961172 0.014744819 0.014134415 0.013801469 0.01136778 0.011351925 0.011898911 0.011122033 0.011558036 0.010765304 0.010099408 0.010432356 0.009282894 0.008989584 0.008688346 6.496712 4.0 0.0 0.0 95.0 2917698.0 376832.0 0.0 0.0 93.0 0.0 1.0 0.0 0.0 0.0 1447660300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 294912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.518972 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.509648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3703628 0.0 6.448896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44574.0 0.0 294112.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 1.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 69336.0 294112.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 996.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.056783214 0.008310042 0.00617599 0.0056551863 0.0057485574 0.0049632015 0.0041944445 0.0054227957 0.0050544976 0.0056354743 0.0037462625 0.0044610715 0.0049455645 0.0031766978 0.0043272395 0.004643664 0.005042048 0.003758712 0.0049320776 0.0041498337 0.004360438 0.0031787727 0.004109373 0.0038458586 0.0050793965 0.0033406164 0.0031673608 0.0029266702 0.0041539837 0.0034453997 0.0037877609 0.0037898358 0.00617599 0.0038178472 0.003484823 0.0030221166 0.0048885043 0.004164358 0.0038365214 0.003720326 0.004726661 0.003898769 0.003335429 0.0030968136 0.0043728873 0.003722401 0.0037213636 0.0035896064 0.0055192793 0.003952717 0.003097851 0.0028945091 0.0036757153 0.0030708772 0.00268598 0.002858198 0.0041757706 0.003312605 0.0035242464 0.003356178 0.003995253 0.0032254583 0.0035024597 0.0034536992 0.0065992735 0.003957904 0.0036186553 0.0032244208 0.0041519087 0.0032150839 0.0035429208 0.0030677647 0.0049974374 0.003774274 0.0037078767 0.003577157 0.0041332347 0.0031289747 0.003557445 0.0034671861 0.0051655057 0.0036279922 0.0036549661 0.0033364664 0.003923668 0.0033790022 0.0033634403 0.0035387708 0.0046467767 0.0036456292 0.0038053978 0.0035159467 0.004106261 0.003389377 0.0036923147 0.0037846486 0.0059093633 0.0036279922 0.0033416538 0.0029526069 0.0040118517 0.0030563527 0.0032638444 0.0030293788 0.004967351 0.0031683983 0.0032047092 0.0030511655 0.0035823442 0.0028415988 0.003095776 0.0031870725 0.0045129443 0.003283556 0.0032254583 0.003140387 0.0038915067 0.0033395789 0.0032908183 0.0036279922 0.004617728 0.0032897808 0.003471336 0.0031621733 0.004034676 0.0031922597 0.0034651114 0.0033343916 0.008652404 0.0045969784 0.0040180767 0.0035294336 0.00437185 0.0034402122 0.003021079 0.003389377 0.004537843 0.0038271842 0.0029536444 0.0031912222 0.0037275883 0.0028021752 0.0028436736 0.0029858055 0.0052485024 0.003201597 0.0034910478 0.0030314536 0.0036622284 0.0031818852 0.00331053 0.0032669567 0.0045492556 0.0028343366 0.0030376783 0.0026984294 0.0035149094 0.0032264958 0.0029889178 0.0031517989 0.005006775 0.0034039014 0.0032773314 0.0027980255 0.0037804986 0.0030190041 0.0030573902 0.003186035 0.0041353093 0.0029930677 0.0031186002 0.0030148544 0.0036404417 0.002835374 0.0029090336 0.0030397533 0.004670638 0.0031217125 0.0038458586 0.0028613105 0.0035605575 0.0031507614 0.00299618 0.003120675 0.0042546173 0.0031445366 0.0033406164 0.0031756605 0.0036487414 0.0031798102 0.0033177922 0.0033499533 0.006727918 0.004066837 0.0037265508 0.003335429 0.0041083354 0.0032565822 0.0033053427 0.0032285708 0.004329314 0.0033250544 0.0031123755 0.0030688022 0.003638367 0.0029920302 0.0030781394 0.0027980255 0.004247355 0.0032752564 0.003084364 0.00299618 0.0037078767 0.0030169291 0.0029339325 0.0029380824 0.003977616 0.0031154878 0.0027326655 0.0026403319 0.0035304711 0.0029494944 0.0035823442 0.0028810222 0.0049476395 0.0032368705 0.0033956016 0.0029816558 0.0038209595 0.0030812516 0.003199522 0.0028976216 0.004442397 0.0054570315 0.0034682236 0.0031351994 0.0037877609 0.0030677647 0.003237908 0.0031912222 0.004613578 0.0033177922 0.0034246505 0.0030397533 0.0037462625 0.0030822891 0.00331053 0.003235833 0.0043500634 0.0030262663 0.003186035 0.0028592355 0.004019114 0.0030905888 0.0042234934 0.0045233187 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09924472 0.06201899 0.062448576 0.05530668 0.0606009 0.059550572 0.054955017 0.054449074 0.06047467 0.053169154 0.05211675 0.052950464 0.056406353 0.05052828 0.056642182 0.053818464 4019.0 5.7039065 22924.0 0.017143605 0.010469377 0.009335195 0.008637236 0.013435701 0.012476007 0.011778049 0.011472693 0.012606875 0.009727797 0.008506369 0.008593613 0.014002792 0.010600245 0.011778049 0.009902285 0.016794626 0.011865294 0.008724481 0.0075030536 0.009815041 0.008462747 0.0078084106 0.008375501 0.010294887 0.008506369 0.009596929 0.008811725 0.011516315 0.008986215 0.009640551 0.009247949 0.018016053 0.0109928455 0.010382133 0.009117083 0.010861979 0.008898971 0.010687489 0.008331879 0.014220904 0.011603559 0.009771419 0.008986215 0.01142907 0.009378817 0.011647182 0.009640551 0.014787995 0.009640551 0.009945909 0.009160705 0.012083406 0.009335195 0.009553307 0.009771419 0.013697435 0.009204327 0.0105566215 0.009553307 0.011123713 0.009815041 0.010382133 0.010687489 0.017928809 0.0109928455 0.009684173 0.008157389 0.013086721 0.008244635 0.009378817 0.008331879 0.015485954 0.0092915725 0.008942593 0.008680859 0.011341825 0.0079829 0.009902285 0.007895655 0.013217589 0.007939277 0.008724481 0.008768103 0.011472693 0.009466061 0.008244635 0.007895655 0.010861979 0.008942593 0.011908917 0.008506369 0.011254581 0.0090734605 0.009945909 0.008768103 6.5545964 0.0 0.0 0.0 14.0 963894.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0