Input: 0.097268604 0.0038910662 0.0035728528 0.0034721524 0.0031619947 0.002956566 0.0022677747 0.0028115571 0.0041045514 0.0022718026 0.0028921175 0.011205949 0.0033029756 0.0026504365 0.0026383523 0.01199544 0.013767769 0.0031056025 0.0026262684 0.002324167 0.0028478093 0.0046684737 0.0024450074 0.0026222402 0.002573904 0.0022436066 0.0020945698 0.0023563912 0.002743081 0.0110206595 0.0021912423 0.0022315225 0.0039112065 0.002299999 0.002529596 0.0028397534 0.003214359 0.0027994732 0.0022234665 0.011008576 0.0026262684 0.0024450074 0.0023765313 0.0023886152 0.003174079 0.0116168065 0.002537652 0.00215499 0.0034842363 0.0024208394 0.0025134839 0.011403321 0.0036493852 0.002320139 0.0025134839 0.0022274945 0.0032546392 0.0024651475 0.002320139 0.0026826605 0.00256182 0.0024732037 0.0023966713 0.0022436066 0.009042903 0.0024973718 0.002553764 0.0026826605 0.0028558653 0.005325041 0.002529596 0.0023080548 0.0025175118 0.0024450074 0.0023845872 0.002549736 0.0026987726 0.004450961 0.0024651475 0.0026746045 0.0052485084 0.0040964955 0.003999823 0.002771277 0.002585988 0.0041085794 0.0030975465 0.0023765313 0.0024973718 0.0023604191 0.0022959707 0.0022677747 0.0026786325 0.0024248674 0.0025698761 0.0037218896 0.0024087552 0.0035003484 0.002775305 0.0025980722 0.0030612943 0.003834674 0.0026826605 0.0022033264 0.0041971956 0.003210331 0.0038870382 0.0023120828 0.002952538 0.0025134839 0.0029444818 0.002960594 0.002747109 0.0023161108 0.003427844 0.0027833611 0.0034882643 0.002767249 0.0028155851 0.0026383523 0.0025094557 0.0023845872 0.002320139 0.011073024 0.0027028008 0.003174079 0.0022718026 0.002368475 0.0029686498 0.0031418547 0.010903847 0.0123458775 0.0026061283 0.0047691744 0.0023080548 0.0023563912 0.002340279 0.0046684737 0.0023322229 0.00851926 0.0113751255 0.0064730262 0.0022476346 0.002372503 0.0033633958 0.0028921175 0.002791417 0.0026021001 0.0026383523 0.0030492104 0.0024530636 0.0024127832 0.0023040269 0.002352363 0.0024812596 0.0022838868 0.002771277 0.0022758306 0.0024852876 0.0025980722 0.0024329235 0.011048856 0.0022395784 0.0024006993 0.0024651475 0.0024611196 0.011290537 0.0024087552 0.0024611196 0.002328195 0.011113304 0.0020865137 0.0025134839 0.0023966713 0.0024248674 0.0024973718 0.0029485098 0.002372503 0.0023966713 0.0024611196 0.002795445 0.0022718026 0.0024490354 0.002549736 0.0026101563 0.0024329235 0.002348335 0.0022919427 0.0024288953 0.0027793332 0.0024651475 0.002767249 0.0032546392 0.0024006993 0.0027793332 0.0026826605 0.012643951 0.0024087552 0.0027028008 0.003850786 0.0031056025 0.0026182123 0.002565848 0.002533624 0.0031056025 0.002529596 0.0025940442 0.002549736 0.0028800336 0.0023604191 0.0024933438 0.0026584924 0.011399293 0.0023886152 0.0025698761 0.0025175118 0.011818208 0.0024369515 0.0021992982 0.002771277 0.0027028008 0.0021711022 0.002368475 0.0022959707 0.0036856374 0.0023926431 0.0030411542 0.0022597185 0.0031539388 0.0024893156 0.0028236413 0.0023765313 0.0030572664 0.011399293 0.0024852876 0.002980734 0.0028437814 0.0022637467 0.0024732037 0.0024852876 0.0029404538 0.002352363 0.0026746045 0.002585988 0.002372503 0.011250257 0.0025255678 0.00254168 0.0026262684 0.0022315225 0.002352363 0.0024651475 0.0028840615 0.007983534 0.0031176866 0.019789657 0.024896266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007591659 7.901647e-05 5.470371e-05 3.2417014e-05 0.00010332923 5.0651583e-05 0.00015398081 8.30686e-05 3.2417014e-05 1.6208507e-05 1.215638e-05 2.0260633e-05 2.2286697e-05 6.07819e-06 1.4182443e-05 2.6338823e-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 0.00326804 0.0 0.0 2.6338823e-05 0.00011751167 0.00017018932 0.00035253502 0.00020665846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.1042535e-06 0.0032194145 0.00014182444 0.00015803294 3.4443077e-05 0.00028972706 6.07819e-06 2.431276e-05 1.823457e-05 1.823457e-05 6.07819e-06 1.6208507e-05 2.2286697e-05 3.8495204e-05 1.6208507e-05 6.8886155e-05 7.091222e-05 0.0032437274 4.6599456e-05 5.0651583e-05 4.862552e-05 4.0521267e-05 3.8495204e-05 6.07819e-05 5.2677646e-05 0.0001215638 2.8364886e-05 3.8495204e-05 6.07819e-05 9.117285e-05 5.8755835e-05 7.4964344e-05 9.319891e-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 0.0073221927 0.00033024832 0.0008387902 0.00031403982 0.0008083992 0.00017424145 0.0009826407 0.00059363653 0.00014182444 8.30686e-05 0.0001438505 7.699041e-05 9.725104e-05 5.6729772e-05 6.8886155e-05 0.00041534298 0.0024515365 0.00013979837 0.00018842389 0.000101303165 0.000287701 7.699041e-05 0.00024515367 0.00011143348 6.686009e-05 5.6729772e-05 5.0651583e-05 3.646914e-05 5.0651583e-05 3.039095e-05 0.00010940742 0.00014587656 0.004195977 0.00029985738 9.5224976e-05 0.00014790263 0.00053690677 0.00054906314 0.00078611256 0.0004578903 0.00035050896 6.2807965e-05 6.07819e-05 8.712072e-05 0.0001985542 9.725104e-05 0.00013169412 0.00024110153 0.010772578 0.0007597737 0.0012885763 0.00059363653 0.0019976983 0.000960354 0.0031160854 0.0017403883 0.00047207274 0.0002208409 0.00039508234 0.0003808999 0.0004518121 0.0002978313 0.00040723872 0.0010413965 0.011418893 0.0011244651 0.001118387 0.0014526873 0.00192476 0.0017343102 0.0022894514 0.0014466092 0.002240826 0.00096643216 0.0007557216 0.0008671551 0.0012784459 0.0009259109 0.0010191099 0.006781234 0.03346854 0.01866612 0.01657725 0.010399783 0.006694113 0.006987892 0.0033673171 0.0087890625 0.032777652 0.0022327218 0.021911874 0.0016674501 0.010691536 0.01651039 0.009929736 0.023394953 0.008801219 0.0034017602 0.002275269 0.0016249027 0.0037056697 0.0036854092 0.0019774379 0.0018639782 0.00652595 0.0011163609 0.0022631127 0.0011568822 0.0026055174 0.0027453157 0.0023137643 0.0037299825 0.037723273 0.037095193 0.03773543 0.03630503 0.035563488 0.034629475 0.034455232 0.036404304 0.039315756 0.03707493 0.039151646 0.036114577 0.039003745 0.037457857 0.038282465 0.037048593 1099.0 7.7898088 8561.0 0.029085387 0.0046723513 0.008059806 0.012615348 0.005373204 0.0032706459 0.004205116 0.0028034109 0.0050227777 0.0045555425 0.0046723513 0.005373204 0.008293424 0.0051395865 0.008059806 0.0050227777 0.005957248 0.00770938 0.008760659 0.0071253357 0.006891718 0.004905969 0.006424483 0.004905969 0.0046723513 0.0044387337 0.004905969 0.0058404393 0.006307674 0.006891718 0.006891718 0.0040883073 0.013549819 0.009461512 0.0071253357 0.01623642 0.008760659 0.010629599 0.010162364 0.006424483 0.008994277 0.012848966 0.0045555425 0.006424483 0.008527041 0.006424483 0.0066581005 0.011564069 0.011914496 0.0061908658 0.008527041 0.013666628 0.00770938 0.005373204 0.011447261 0.006074057 0.007008527 0.0056068217 0.00478916 0.00385469 0.006891718 0.00385469 0.0045555425 0.04240159 0.005490013 0.035042636 0.021609625 0.016353229 0.01915664 0.041817546 0.010980026 0.0071253357 0.019390259 0.020324728 0.017054083 0.010162364 0.016353229 0.011914496 0.02020792 0.01915664 0.010279173 0.005957248 0.035743486 0.020558346 0.028968578 0.011447261 0.022544095 0.007475762 0.006424483 0.010629599 0.0044387337 0.0045555425 0.0051395865 0.01343301 0.004205116 0.004905969 6.249066 1.0 0.0 0.0 5.0 248261.0 262144.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1334572400.0 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 2012.0 2.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 5.0 0.0 0.0 4.0 5.0 0.0 0.0 0.0 0.0 0.0 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 -13312.0 0.0 0.0 0.0 0.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.566587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.466495 0.0 0.0 0.0 0.0 0.0 5.800697 0.0 0.0 0.0 0.0 0.0 0.0 -7.3764524 0.0 7.852977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -114688.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 258048.0 5712.0 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: 0.062001146 0.0046596406 0.0041157706 0.0030133321 0.004519998 0.0030647793 0.0034175597 0.0029839338 0.0044832504 0.002998633 0.0034984052 0.0032264702 0.00395408 0.005115315 0.0027634462 0.003461657 0.007989005 0.0044979495 0.0030133321 0.012729491 0.003035381 0.0037556407 0.002476812 0.0028810396 0.0036306977 0.003535153 0.007614176 0.008047801 0.008047801 0.007959607 0.0036012994 0.003446958 0.0037482912 0.0025062105 0.0027854948 0.003035381 0.0065190867 0.003660096 0.002351869 0.0026091046 0.0024327144 0.0028663403 0.0024841616 0.0026164541 0.0028663403 0.0027634462 0.003336714 0.002748747 0.0038511856 0.0043068603 0.008466728 0.003968779 0.0033293646 0.008672517 0.0032191207 0.0037923888 0.0031676735 0.0031015272 0.0026532023 0.0033073158 0.003035381 0.0028957387 0.0029030882 0.0032705679 0.007070306 0.00466699 0.0034910555 0.0032411695 0.0036747954 0.004542047 0.004725787 0.004417104 0.0030280314 0.0030280314 0.004519998 0.0029839338 0.0032705679 0.0029912833 0.0033440636 0.0030721289 0.003895283 0.004108421 0.0033146653 0.0032044216 0.0032632183 0.0033146653 0.00395408 0.0030868282 0.003880584 0.0032558686 0.008290338 0.0035645515 0.002726698 0.004255413 0.0035939498 0.008540224 0.0029765842 0.006261851 0.003248519 0.008959151 0.003660096 0.0058429246 0.0031676735 0.0034322587 0.0033955108 0.004020226 0.0034690069 0.002623804 0.003895283 0.0033440636 0.00431421 0.003807088 0.0035866003 0.002601755 0.011377166 0.0036674456 0.0060046157 0.004255413 0.0030868282 0.0029398364 0.0031456249 0.0030647793 0.0028810396 0.002550308 0.0026164541 0.0028075436 0.002910438 0.0027340478 0.002675251 0.0027634462 0.0026972997 0.0042480635 0.0029545354 0.0035425026 0.0027634462 0.0025062105 0.002998633 0.0037997384 0.0030059826 0.0066881273 0.0030794784 0.010260029 0.002315121 0.0035057548 0.0027413974 0.002550308 0.0027340478 0.0025870558 0.0025209095 0.002440064 0.0025650072 0.0026164541 0.002910438 0.0024547633 0.002550308 0.0024841616 0.0046375915 0.002476812 0.0027413974 0.0027928445 0.0045126486 0.0026164541 0.002623804 0.0027340478 0.0030794784 0.0041745673 0.0024841616 0.0023298203 0.0029398364 0.00305008 0.002836942 0.0028295924 0.0028516413 0.0025944056 0.0025429584 0.0026899502 0.0028148931 0.0024915112 0.0028295924 0.0025356088 0.0025576574 0.007650924 0.0024474137 0.0033955108 0.0076582734 0.007819965 0.0034543076 0.0035866003 0.0025576574 0.0027707957 0.002748747 0.0026091046 0.0038291367 0.0028589908 0.0034175597 0.0038364863 0.002925137 0.002836942 0.0027928445 0.0028663403 0.0030427305 0.0026972997 0.0045714453 0.0026899502 0.007937558 0.004042275 0.007628875 0.0025944056 0.0027413974 0.0026458525 0.002425365 0.0030206817 0.002748747 0.0027854948 0.002748747 0.0023445194 0.0026899502 0.00323382 0.002910438 0.0074083875 0.0029398364 0.0024988607 0.0024988607 0.002726698 0.0028442915 0.0023739177 0.00431421 0.0044024047 0.004343608 0.004005527 0.002300422 0.0024694623 0.003983478 0.002351869 0.0025723567 0.0031015272 0.0067910217 0.0026164541 0.0024547633 0.002403316 0.003358763 0.0028883892 0.0077832164 0.0031088768 0.002822243 0.0028295924 0.0026605518 0.0028075436 0.0028516413 0.002440064 0.002726698 0.002601755 0.0032264702 0.0025062105 0.0025797063 0.0083417855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064482945 1.8636689e-05 0.0001080928 0.0001080928 0.00014163884 9.6910786e-05 0.0004733719 0.00020127624 1.1182014e-05 0.0 3.7273378e-06 7.4546756e-06 0.0 7.4546756e-06 3.7273378e-06 3.7273378e-06 0.0060196505 8.200143e-05 8.200143e-05 5.9637405e-05 0.00031309636 0.00014909351 0.00054419134 0.00026464098 2.9818702e-05 2.2364027e-05 3.7273378e-06 4.4728054e-05 0.0 0.0 3.7273378e-06 1.4909351e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01309041 0.0011405654 0.00086101505 0.0010622913 0.005486641 0.0035446982 0.0077752266 0.0036565184 0.00020873091 0.00012300214 0.00014536617 0.00012300214 0.00012300214 0.00014909351 8.200143e-05 0.00059637404 0.01293759 0.00096165313 0.0010287452 0.0005926467 0.0022774034 0.0025532264 0.0036937918 0.002262494 0.0006783755 0.00013045683 0.00020873091 0.00021245825 0.0018040314 0.00018263955 0.00021245825 0.0007976503 0.0049499045 0.0001677302 0.00028327768 0.0023668595 0.0016735747 0.0014536617 0.0020276718 0.00095047115 0.0001975489 0.00014909351 0.0001677302 0.00017518488 0.00016400286 0.00020500358 0.00015282085 0.00018263955 0.006232109 0.0013306596 0.000849833 0.002903596 0.0010734732 0.0007715589 0.0007603769 0.00061501074 0.0019158516 0.00026091366 0.0005553733 0.00048082657 0.0030713263 0.0003354604 0.00050691795 0.0012374761 0.012918953 0.0058295564 0.0026091365 0.0027097745 0.0042305286 0.004293893 0.002583045 0.0026762285 0.0065228413 0.0005814647 0.0009169251 0.001733212 0.004987178 0.0013045683 0.0019829436 0.0051884544 0.008077141 0.011293833 0.0021208553 0.004435532 0.0028849593 0.005039361 0.004193255 0.0035596075 0.004953632 0.0012449308 0.0015990279 0.0053934576 0.004182073 0.002583045 0.0028849593 0.0042566196 0.04455287 0.06470659 0.04179091 0.04977487 0.044444777 0.048343573 0.044616234 0.046136986 0.04551452 0.041619454 0.043591216 0.051396262 0.046442628 0.043703035 0.048071474 0.043386213 668.0 11.267964 7527.0 0.005181347 0.0030556663 0.0033213764 0.002258536 0.009299854 0.0030556663 0.0031885214 0.0038527965 0.0033213764 0.0035870865 0.002391391 0.0033213764 0.0038527965 0.005447057 0.013152651 0.0033213764 0.007705593 0.007041318 0.007174173 0.0063770427 0.007307028 0.008369869 0.007705593 0.0057127676 0.0058456226 0.007971304 0.0065098978 0.005447057 0.004782782 0.003985652 0.003985652 0.018333998 0.053142022 0.023249635 0.013551216 0.010229839 0.008635579 0.015942607 0.006908463 0.004517072 0.009698419 0.013285506 0.003985652 0.0035870865 0.004251362 0.007041318 0.0078384485 0.009034144 0.01155839 0.027500996 0.008901289 0.008768434 0.007971304 0.0059784777 0.013418361 0.004251362 0.010495549 0.005447057 0.017404012 0.0037199415 0.005579912 0.0029228113 0.003985652 0.014746911 0.0030556663 0.040122226 0.009432709 0.018998273 0.019662548 0.058456223 0.007041318 0.014348346 0.005579912 0.025906736 0.0063770427 0.0037199415 0.021921083 0.016474027 0.026305301 0.018865418 0.007439883 0.004251362 0.03494088 0.015544041 0.044905007 0.008901289 0.009166999 0.004915637 0.008104159 0.010628404 0.005048492 0.0031885214 0.0034542314 0.002657101 0.0033213764 0.0038527965 6.0822372 1.0 0.0 0.0 6.0 136062.0 159744.0 1.0 2.0 120.0 1.0 1.0 0.0 1.0 0.0 1521075600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 8.0 14.0 0.0 6.0 0.0 6.0 0.0 11264.0 1024.0 4096.0 9.0 0.0 0.0 2.0 3.0 0.0 0.0 -512.0 0.0 0.0 -1536.0 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 -512.0 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 -122368.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.5264444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2607985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.679439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2800992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15.959721 0.0 3.2493415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -1368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7938.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121432.0 0.0 824.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116.0 19504.0 160.0 19620.0 824.0 40960.0 0.0 0.0 0.0 0.0 1368.0 45056.0 84.0 17456.0 0.0 0.0 0.0 0.0 24.0 17636.0 64.0 17544.0 0.0 0.0 508.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.0124601405 0.0037816884 0.0030901227 0.0044214367 0.003374123 0.003197744 0.0038514428 0.0047612404 0.0036352042 0.0029456313 0.0034189653 0.0034040178 0.00377272 0.0040118783 0.004270966 0.0048688618 0.0034697864 0.0035385443 0.0035206075 0.0033910635 0.0031479194 0.0037996252 0.0035245935 0.0033950494 0.0036611129 0.0039421236 0.003837492 0.0040706713 0.0038693799 0.0038564254 0.0042530294 0.004693479 0.0036023199 0.0033820951 0.0036053094 0.0037836814 0.0035734216 0.0031529018 0.003319316 0.0037906568 0.0034259406 0.0029157365 0.0031140386 0.004064692 0.0033751195 0.0035325654 0.0034478635 0.0038105866 0.0039570713 0.0034558354 0.0033302775 0.0039740116 0.0037298708 0.0038345025 0.0038873167 0.004077647 0.0039799903 0.0037009725 0.003580397 0.004189254 0.0040876116 0.0040208464 0.0042639906 0.005029297 0.0031419403 0.0035714286 0.003362165 0.0037777026 0.003667092 0.0033352599 0.0041762996 0.0035265863 0.003667092 0.0031160316 0.0030024315 0.0032944037 0.00325853 0.0036302216 0.0035654497 0.0038723692 0.003339246 0.0032764669 0.0030173787 0.0034279337 0.0029486208 0.0039510923 0.0035245935 0.0044603 0.0033890705 0.003444874 0.003374123 0.0037856745 0.0035674425 0.0038643973 0.003709941 0.0046396684 0.0038753587 0.0038952886 0.0032017299 0.0037916533 0.0034398916 0.0036362007 0.0039580674 0.00423011 0.0037816884 0.0035574776 0.0035614637 0.0038773518 0.0039132256 0.0038863202 0.0041762996 0.0043357383 0.0041055484 0.00377272 0.003523597 0.003919204 0.003798629 0.0037856745 0.0041643414 0.0044114715 0.0042201453 0.0038783483 0.003898278 0.004182278 0.0040915976 0.0041962294 0.004762237 0.0054348693 0.0037129305 0.003969029 0.0036162708 0.004094587 0.003246572 0.0037637516 0.0037089444 0.0042450572 0.0034179688 0.0036969867 0.0035026707 0.0035255898 0.0038384886 0.003937141 0.003663106 0.0040248325 0.003444874 0.003831513 0.0032106983 0.0035405373 0.0031827965 0.0034428812 0.003434909 0.0036840322 0.003688018 0.003511639 0.0035754147 0.0038564254 0.0036092952 0.0036890146 0.0038145727 0.0043646363 0.0033561862 0.0036192602 0.003323302 0.003727878 0.003380102 0.0032704878 0.0034847336 0.0037478078 0.0031409438 0.0034658003 0.0038115832 0.0037637516 0.003568439 0.0036690847 0.0039311624 0.0045699137 0.0038843271 0.0036023199 0.0034787548 0.0040009166 0.0037129305 0.0036770569 0.0038056043 0.004204201 0.0039740116 0.003707948 0.0037547832 0.004379584 0.003965043 0.004090601 0.004268973 0.0050651706 0.004471261 0.0038205516 0.0036660954 0.0044214367 0.0034787548 0.003458825 0.0037737165 0.0040896046 0.0036092952 0.0036112883 0.0036760604 0.0038634008 0.003912229 0.0039600604 0.0038813376 0.0045679207 0.0036820392 0.004003906 0.0036053094 0.003975008 0.0036690847 0.0038424744 0.0038514428 0.004161352 0.0041314573 0.004165338 0.0038484535 0.004481226 0.004288903 0.0042330995 0.0043327487 0.004721381 0.004515107 0.004256019 0.0037697305 0.0042998646 0.003841478 0.0039640465 0.0038913025 0.0042181523 0.0039461097 0.0039620535 0.004021843 0.0041703205 0.004414461 0.004359654 0.004547991 0.0047373245 0.0046157525 0.004430405 0.004204201 0.004384566 0.004175303 0.004199219 0.00453404 0.0047263633 0.004754265 0.0046067843 0.0043935347 0.004870855 0.0052814092 0.00533522 0.005394013 0.007494619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00079501566 9.476347e-06 6.4838164e-06 1.6458918e-05 1.14713675e-05 5.9850613e-06 2.0947715e-05 1.2468878e-05 1.0473857e-05 2.9925307e-06 4.488796e-06 2.4937756e-06 1.09726125e-05 1.3965143e-05 2.7930286e-05 6.982571e-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 0.00066384306 4.488796e-06 5.9850613e-06 1.3965143e-05 1.14713675e-05 4.987551e-06 2.9925307e-06 7.980082e-06 3.990041e-06 1.09726125e-05 1.09726125e-05 2.6434021e-05 3.9401653e-05 6.0848124e-05 8.279335e-05 7.032447e-05 0.0016543707 1.7955184e-05 0.00019900329 0.00013167135 8.029957e-05 3.6907877e-05 0.00036059995 0.0001755618 3.790539e-05 2.5935266e-05 2.244398e-05 2.5935266e-05 3.790539e-05 6.134688e-05 6.134688e-05 0.00013516263 0.0009596048 1.4962653e-05 4.0399165e-05 3.790539e-05 4.2394186e-05 1.8453939e-05 2.5935266e-05 2.9426552e-05 2.6434021e-05 2.8429042e-05 2.8927796e-05 7.182074e-05 0.00010074853 0.00014713276 0.00019351699 0.0002768091 0.0017705807 4.8878e-05 6.932696e-05 4.588547e-05 6.733194e-05 7.7805795e-05 9.376596e-05 8.9277164e-05 7.3815754e-05 7.4314514e-05 6.88282e-05 0.00011521243 0.0002000008 0.0002788041 0.00037406632 0.00063790777 0.0021227018 0.00013266887 0.00013017509 0.00011122239 0.00016857922 0.00018852943 0.00017805558 0.00019202071 0.00016159666 0.000120698736 0.00013017509 0.0001855369 0.00026384144 0.00043192192 0.00064189784 0.0009690812 0.0011571118 0.0001022448 0.00014015018 0.00015760661 0.000146634 0.00015411533 0.00020149707 0.00017157175 0.00012219501 0.00016010039 0.00012319251 0.00018054935 0.00020249457 0.0004054879 0.0007007509 0.0009815501 0.00023740742 0.0001022448 7.4813266e-05 0.00010324231 0.00011770621 0.00011172114 0.00014015018 0.00017057425 0.00010274355 8.827965e-05 8.129708e-05 9.576098e-05 8.428961e-05 0.000112219896 0.00013366637 0.0002867842 0.059528418 0.059562333 0.055246107 0.062510476 0.05533239 0.057144865 0.060117945 0.065325946 0.05945161 0.057402723 0.057379283 0.062886536 0.061353363 0.06352345 0.064731434 0.073988326 4180.0 6.087321 25445.0 0.01391236 0.0074277855 0.014305364 0.011239929 0.009785812 0.0077814893 0.008253095 0.010021615 0.008764001 0.007231283 0.008449597 0.0088033015 0.009864413 0.008253095 0.0097072115 0.008135194 0.012261741 0.008253095 0.011397131 0.010925526 0.009943014 0.012929848 0.01041462 0.009667912 0.011043427 0.009589311 0.0092749065 0.013165652 0.01127923 0.0097072115 0.011082727 0.012733347 0.009353507 0.008292396 0.008370996 0.009471409 0.016152486 0.008331696 0.013244253 0.0092356065 0.0086461 0.007938691 0.009196306 0.008960503 0.010100217 0.012222441 0.0092356065 0.009196306 0.010257418 0.009589311 0.0092749065 0.012890548 0.007584987 0.023894675 0.009510709 0.010532521 0.009667912 0.007860091 0.008724701 0.009510709 0.009667912 0.0092356065 0.008135194 0.010532521 0.011357831 0.009471409 0.008842601 0.010532521 0.010964826 0.013204952 0.010650422 0.011475732 0.009982315 0.010650422 0.011004127 0.010336019 0.011004127 0.010571822 0.012104539 0.0124189425 0.011672234 0.009510709 0.011357831 0.011554332 0.01127923 0.011122028 0.011043427 0.009903714 0.011043427 0.010178817 0.009667912 0.010650422 0.010886225 0.010571822 0.011829436 0.012733347 6.5579157 1.0 0.0 0.0 13.0 1003520.0 106496.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1214889300.0 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 92.0 6.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8342333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3793254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 105652.0 19636.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.22099166 0.0072354404 0.00468861 0.0060258345 0.027404785 0.003318093 0.0055042612 0.0048550693 0.0034679065 0.0027188389 0.003922896 0.0026023171 0.0032681553 0.002574574 0.006974654 0.0061090644 0.0043723364 0.0026855469 0.0024857954 0.0037675337 0.003717596 0.002763228 0.002524636 0.0022971414 0.00370095 0.0026356091 0.0029629795 0.0022693982 0.0030129172 0.0020086116 0.003506747 0.0036066228 0.005365545 0.0028464578 0.002907493 0.003351385 0.0069469106 0.004649769 0.012567693 0.0067749023 0.0027243875 0.0026966443 0.005065918 0.0031849255 0.0037841797 0.0021306819 0.0026023171 0.0026744495 0.0031183416 0.005088113 0.002652255 0.0049161045 0.002985174 0.0024081143 0.0021528765 0.002286044 0.0027965198 0.0023748225 0.0027077415 0.0036454634 0.002890847 0.008916682 0.0030573064 0.008422852 0.011652166 0.0020086116 0.0020530007 0.0021084873 0.003506747 0.001936479 0.0024192117 0.0019808682 0.0021972656 0.0020086116 0.0019309304 0.002175071 0.0032348633 0.002574574 0.0023082385 0.0019753196 0.0043889824 0.00271329 0.0026744495 0.0024968928 0.0025357334 0.0022583008 0.003318093 0.002491344 0.0021029385 0.0018754438 0.0020141602 0.001842152 0.0019919656 0.001842152 0.0028131658 0.0024303088 0.0019031871 0.0026189631 0.002158425 0.002064098 0.003079501 0.0031904741 0.0041337446 0.0038840554 0.0044888584 0.00320712 0.0041503906 0.001842152 0.0025856711 0.0020308062 0.0029463335 0.002652255 0.0032570579 0.0017811168 0.0029907227 0.0023082385 0.0040116743 0.003096147 0.0018865411 0.021562057 0.0027354846 0.0019753196 0.0019808682 0.00160356 0.0022971414 0.0016812411 0.0020585493 0.001858798 0.0065307617 0.0029962712 0.002413663 0.0034901013 0.0032792524 0.00291859 0.0027909712 0.0030905984 0.007412997 0.0032626064 0.002763228 0.006969105 0.002064098 0.004982688 0.0021029385 0.001825506 0.010242809 0.0018976385 0.001953125 0.0020585493 0.001858798 0.0016756925 0.0019253817 0.0019031871 0.0020419033 0.002890847 0.0021362305 0.0016812411 0.0018920898 0.0018366034 0.002064098 0.0018809926 0.0019309304 0.0020252576 0.0019753196 0.0015980114 0.0018144087 0.0017422762 0.0018532493 0.001953125 0.0020252576 0.001858798 0.0020751953 0.0018310547 0.0019309304 0.0016146573 0.0020363547 0.0018643466 0.0019808682 0.0018754438 0.002413663 0.0017644708 0.0018532493 0.0017034357 0.0020363547 0.0018865411 0.0021195845 0.001969771 0.0020530007 0.0018199574 0.0018809926 0.0016923384 0.0022527522 0.0018310547 0.003334739 0.00230269 0.0024247603 0.00271329 0.0022804954 0.0018477007 0.0030739524 0.003301447 0.0020585493 0.0022194602 0.0022472034 0.0018920898 0.0063476562 0.0018532493 0.0027854226 0.0020530007 0.002064098 0.0017589222 0.0021362305 0.0023692737 0.0017977628 0.0016645952 0.0021695225 0.0017700195 0.0022250088 0.0018310547 0.0017200817 0.001731179 0.0017034357 0.0036454634 0.0019309304 0.0015813654 0.0024636008 0.0019087358 0.0018754438 0.0017145331 0.0018809926 0.0016091086 0.0027687766 0.0017145331 0.005448775 0.002951882 0.0022416548 0.0021695225 0.0022194602 0.0016313032 0.0025912197 0.0020308062 0.002652255 0.0022472034 0.0022749468 0.0020530007 0.0020530007 0.0017755682 0.0025912197 0.0022638494 0.002175071 0.0020197087 0.0020252576 0.0016645952 0.0022915928 0.0017422762 0.0024303088 0.015036843 0.045714285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016289063 4.4642857e-05 3.0691965e-05 2.2321428e-05 1.674107e-05 1.1160714e-05 2.2321428e-05 2.7901786e-05 0.00019810267 2.5111607e-05 2.7901786e-05 1.3950893e-05 5.301339e-05 1.1160714e-05 5.0223214e-05 0.0002985491 0.005343192 2.5111607e-05 1.674107e-05 1.674107e-05 1.1160714e-05 3.0691965e-05 2.2321428e-05 4.4642857e-05 2.2321428e-05 2.5111607e-05 2.2321428e-05 2.2321428e-05 1.3950893e-05 5.0223214e-05 3.0691965e-05 1.674107e-05 0.0051199775 4.4642857e-05 5.0223214e-05 1.1160714e-05 3.0691965e-05 6.696428e-05 9.4866075e-05 5.859375e-05 1.1160714e-05 3.90625e-05 1.953125e-05 0.00010881697 2.7901786e-05 8.370535e-06 1.1160714e-05 1.1160714e-05 0.014762835 0.0003125 0.0002483259 0.00010602678 2.5111607e-05 0.00033203125 9.765625e-05 0.007469308 0.0036914062 8.370535e-06 2.7901785e-06 0.0 0.0004436384 0.00038504464 0.00020368304 0.00048270088 0.0049441964 5.0223214e-05 0.00012276786 9.765625e-05 4.4642857e-05 0.00010602678 0.00016183035 0.0038978795 0.001640625 4.185268e-05 3.90625e-05 2.2321428e-05 6.975447e-05 4.185268e-05 2.5111607e-05 0.00012276786 0.030731026 0.002890625 0.008900669 0.012726004 0.00015066964 5.301339e-05 6.138393e-05 0.0037248884 0.0012081473 6.696428e-05 0.00026785713 7.8125e-05 0.00055524556 5.0223214e-05 0.00022321429 0.0011690848 0.034938615 0.009994419 0.020984933 0.013883929 0.0004296875 0.00045758928 0.0010491072 0.003314732 0.00016741072 6.975447e-05 8.649554e-05 6.138393e-05 6.696428e-05 4.4642857e-05 1.3950893e-05 0.00015066964 0.040228795 0.00082310266 0.002360491 0.0010044643 0.0035212054 0.0021958705 0.005479911 0.0051757814 0.0020228794 0.000998884 0.00036272322 0.00032087055 0.0005691964 0.0002483259 0.00041015624 0.0028487723 0.015521764 0.00047154017 0.0010072545 0.001609933 0.0010351562 0.00043526787 0.001202567 0.0017522321 0.00083984376 0.00070870534 0.0002092634 0.00020089286 0.00065290177 0.0009375 0.0006445313 0.0013420759 0.014874442 0.0011160715 0.00055803574 0.00056640623 0.0026339286 0.00037388393 0.001922433 0.0005217634 0.0019252232 0.00056082587 0.00086495536 0.00036272322 0.0004296875 0.0004436384 0.0004157366 0.0010016741 0.010438058 0.0005273438 0.00047712054 0.0011272321 0.0019084822 0.00020647321 0.002142857 0.00035435267 0.00092075893 0.0015178572 0.0002204241 0.00027622769 0.002374442 0.0009542411 0.0018554687 0.0032700894 0.004860491 0.00047712054 0.00034877233 0.0003766741 0.0010714285 0.0006417411 0.0015625 0.0009765625 0.0012472098 0.0004157366 0.00047433036 0.00044921876 0.0014146206 0.00033203125 0.0007924107 0.0017020089 0.033351004 0.004612165 0.008108259 0.0023214286 0.008122209 0.0074916296 0.0055524553 0.0026143973 0.015510603 0.008311942 0.0011356027 0.0020200892 0.0075864955 0.001328125 0.005080915 0.0068526785 0.0029464285 0.0005273438 0.00073381694 0.0002873884 0.000625 0.0007449777 0.00046595983 0.00036272322 0.0017159599 0.00047712054 0.00012276786 0.0002985491 0.000859375 0.00019810267 0.00047991073 0.00058314734 0.028258929 0.026632255 0.026676897 0.026595982 0.026676897 0.026802456 0.027271206 0.027056362 0.028097099 0.02686105 0.02642578 0.026967077 0.027834821 0.027240513 0.02718471 0.027703684 1142.0 9.382662 10715.0 0.007839478 0.0037330845 0.010265983 0.006719552 0.014465703 0.016892208 0.023145124 0.0060662623 0.007839478 0.004946337 0.048623424 0.00839944 0.032571163 0.0056929537 0.005786281 0.016892208 0.006159589 0.013439104 0.0048530097 0.0112925805 0.008586095 0.005879608 0.0036397574 0.0023331777 0.0019598694 0.0012132524 0.005599627 0.0073728417 0.004946337 0.021838544 0.0042930474 0.061502565 0.0023331777 0.006439571 0.0017732151 0.0054129725 0.005039664 0.0040130657 0.004106393 0.0032664489 0.0038264117 0.0037330845 0.0019598694 0.0034531031 0.0046663554 0.005319645 0.0034531031 0.0037330845 0.0060662623 0.0046663554 0.0059729354 0.0063462434 0.0051329914 0.005039664 0.004759683 0.0036397574 0.0028931405 0.001679888 0.0023331777 0.002519832 0.0024265049 0.0019598694 0.003919739 0.006719552 0.0027064863 0.01035931 0.0054129725 0.004759683 0.008119458 0.019225385 0.0045730285 0.0046663554 0.00419972 0.0087727485 0.0042930474 0.0021465237 0.009332711 0.0055062994 0.009519366 0.009426039 0.008026131 0.0017732151 0.010265983 0.006159589 0.013345777 0.006159589 0.0018665423 0.29650024 0.009519366 0.0036397574 0.0027998134 0.0024265049 0.004946337 0.0020531965 0.0027998134 0.0013065796 5.098956 0.0 0.0 0.0 2.0 180224.0 180224.0 0.0 0.0 74.0 0.0 1.0 0.0 0.0 0.0 953155200.0 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 28672.0 4096.0 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 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 -28672.0 0.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.608475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.221038 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0396085 0.0 7.169107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26196.0 0.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 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 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 -1.0 0.0 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 1.0 0.0 0.0 0.0 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 2.0 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 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -2.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 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 0.0 0.0 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 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 41496.0 45968.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1180.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.22474031 0.020164106 0.017185317 0.012406163 0.01654155 0.0075178947 0.014653893 0.003938984 0.0060666897 0.006208537 0.05291987 0.011271386 0.04355796 0.004910091 0.005346543 0.0038516934 0.005924843 0.005346543 0.005193785 0.00432088 0.0022259078 0.0027169168 0.0032188373 0.0024550455 0.0018876571 0.0015821403 0.001287535 0.00257507 0.001778544 0.0012438897 0.0022913758 0.0032406598 0.0055538584 0.0013857367 0.0027823849 0.0010911312 0.0078015886 0.0014184706 0.0025532471 0.0007092353 0.0029351432 0.00078561454 0.005662971 0.0026623604 0.0032297487 0.0020295042 0.005619326 0.001287535 0.01346456 0.0050410265 0.002760562 0.004255412 0.002651449 0.008489002 0.008838164 0.0036552898 0.0037098464 0.0017894553 0.000698324 0.0006001222 0.00056738826 0.0011565991 0.0005782996 0.000698324 0.0012657123 0.0020185928 0.0010693086 0.00473551 0.0013639141 0.0009929294 0.0013311802 0.0005782996 0.000698324 0.00108022 0.00082925975 0.0026187152 0.00097110687 0.0014075594 0.0015712291 0.0011456879 0.0008183485 0.0022586416 0.0013311802 0.0021931739 0.0017567214 0.0007747032 0.00082925975 0.0010038408 0.0006655901 0.000872905 0.0014184706 0.00072014664 0.0007092353 0.00039280727 0.0006001222 0.00457184 0.0011129539 0.0049755587 0.001636697 0.0025641585 0.007048708 0.012558921 0.0018003667 0.0032952165 0.0012984462 0.0051174057 0.0006546788 0.0011020426 0.0036880237 0.00257507 0.0061867144 0.011369588 0.0027496507 0.0018658345 0.0075069834 0.0073760473 0.011315031 0.0027278282 0.0018985685 0.0011347765 0.00072014664 0.0017021648 0.0054011 0.0025096019 0.00052374305 0.0023568436 0.00062194484 0.00046918646 0.0018331006 0.001287535 0.00048009778 0.00062194484 0.0004910091 0.0005128317 0.0002509602 0.0004364525 0.00041462987 0.0006437675 0.00041462987 0.00052374305 0.0004255412 0.0005892109 0.0004364525 0.00028369413 0.0005782996 0.0004910091 0.0005019204 0.00041462987 0.00063285616 0.0004910091 0.00033825068 0.00041462987 0.00039280727 0.0022368191 0.0006655901 0.004670042 0.00037098464 0.0004910091 0.00031642808 0.0005128317 0.00097110687 0.0011129539 0.0010038408 0.0004255412 0.0009274616 0.0011784218 0.00084017107 0.00082925975 0.000698324 0.00074196927 0.00096019555 0.0011238653 0.0009929294 0.0010365747 0.001429382 0.0020076816 0.040524617 0.0022259078 0.0006001222 0.00063285616 0.00046918646 0.00038189595 0.000349162 0.00033825068 0.0004910091 0.000349162 0.00021822625 0.00041462987 0.00036007332 0.0004364525 0.00030551676 0.00038189595 0.0006874127 0.0012438897 0.0015384951 0.0006655901 0.00029460544 0.0011129539 0.00045827514 0.0005892109 0.0004364525 0.0006874127 0.000349162 0.00041462987 0.000349162 0.0004255412 0.0004364525 0.0014839385 0.00072014664 0.00044736383 0.00018549232 0.00046918646 0.00048009778 0.0014184706 0.0003273394 0.00028369413 0.00033825068 0.00036007332 0.00041462987 0.0005892109 0.0004037186 0.00038189595 0.00041462987 0.0002727828 0.0007637919 0.0009820182 0.000349162 0.00045827514 0.0018440118 0.0003273394 0.0002509602 0.00038189595 0.00041462987 0.004888268 0.0003273394 0.0017567214 0.0003273394 0.00039280727 0.00062194484 0.00030551676 0.00036007332 0.0005892109 0.0016803421 0.0020185928 0.00044736383 0.0005346543 0.0004037186 0.0005892109 0.0007528806 0.0005128317 0.00045827514 0.0005455656 0.0005782996 0.0045281947 0.006524965 0.09098944 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059481533 0.00011652166 6.1035156e-05 2.2194603e-05 1.10973015e-05 1.10973015e-05 1.10973015e-05 5.5486507e-06 0.0 1.10973015e-05 0.00017200816 0.0024081143 0.0 0.0 0.0 0.0025856711 0.035023082 0.0014481978 0.0044722124 0.0008156516 0.0026134143 0.0020141602 0.012906161 0.008450595 0.00012761896 0.00013316762 0.00043834338 0.005126953 4.4389206e-05 6.1035156e-05 6.658381e-05 0.0058038887 0.058787953 0.005970348 0.006253329 0.0033069958 0.0024525037 0.00300182 0.013083718 0.011236018 0.0008711381 0.0004827326 0.0011707653 0.006680575 0.00046608664 0.000588157 0.00061035156 0.010037509 0.18492542 0.019686611 0.020940607 0.033774637 0.010281649 0.008311879 0.020885121 0.019026322 0.0034845525 0.0035344905 0.0035011985 0.0064752754 0.0046275747 0.0024802468 0.0033458362 0.018354936 0.09545343 0.011052912 0.008089933 0.012473366 0.003911799 0.0032903499 0.0115356445 0.0065806997 0.0021972656 0.0059481533 0.005054821 0.0107754795 0.0027188389 0.0020419033 0.008472789 0.026311701 0.049527254 0.005748402 0.0059592505 0.0076737837 0.002924139 0.0030073687 0.0060091885 0.003967285 0.0018310547 0.002380371 0.0044833096 0.012589888 0.0028963955 0.0018366034 0.0015813654 0.035311613 0.015819203 0.0038174717 0.0019753196 0.0015813654 0.0015480735 0.001459295 0.0026189631 0.0019198331 0.0012428977 0.0012151544 0.0016978871 0.0051879883 0.0005937056 0.00061035156 0.0005382191 0.014992454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 949.0 11.37197 10792.0 0.008617494 9.2661234e-05 0.00037064494 0.0015752409 0.0015752409 0.0 0.00037064494 0.0 0.0002779837 0.00037064494 0.0 0.0 0.0069495924 0.0009266123 0.013806524 0.0018532246 0.091641955 0.015196442 0.011212009 0.01278725 0.01130467 0.011675315 0.010285396 0.011026686 0.010007413 0.0090808 0.00074128987 9.2661234e-05 0.00018532247 0.004169755 0.00018532247 0.0002779837 0.00037064494 0.0074128984 0.003984433 0.0090808 0.0054670125 0.0037991104 0.0047257226 0.0017605633 0.0009266123 0.003613788 0.0 0.0009266123 0.0026871758 0.0043550776 0.0018532246 0.0037064492 0.0029651595 0.0005559674 0.004447739 0.012416605 0.007227576 0.00074128987 0.002038547 0.0029651595 0.0005559674 0.0011119348 0.006486286 0.00018532247 0.00083395105 0.0 0.0 0.033821348 0.0002779837 0.026964419 0.009358784 0.014918458 0.051056337 0.09432913 0.009544107 0.0210341 0.004447739 0.032153446 0.00064862863 0.004077094 0.023257969 0.015752409 0.04290215 0.0437361 0.010285396 0.0016679021 0.03613788 0.041697554 0.074128985 0.017234989 0.0025018533 0.004077094 0.0026871758 0.008617494 0.038825057 0.0 0.0 0.0 0.0 0.0 5.2162714 1.0 4.0 0.0 1.0 91648.0 114688.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2448229000.0 0.0 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 0.0 0.0 0.0 0.0 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 80.0 0.0 4.0 0.0 6.0 0.0 74240.0 512.0 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 -74240.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.841128 0.0 4.752718 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 -74240.0 0.0 16272.0 0.0 0.0 0.0 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 82269.0 16272.0 90112.0 0.0 0.0 0.0 0.0 12.0 106496.0 56.0 82092.0 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: 0.2967624 0.008956753 0.012907901 0.024647301 0.018381959 0.023243695 0.021222504 0.030414362 0.028912505 0.01168501 0.020817215 0.008233896 0.016250234 0.0017141524 0.0011123568 0.0013527242 0.003931848 0.0021633059 0.0010474401 0.0007965457 0.0013316701 0.0015457198 0.0019615376 0.0007544376 0.0009526968 0.0005281063 0.0005105612 0.0004947707 0.0010105955 0.0017825781 0.00050705223 0.00050529774 0.0032581177 0.0019299566 0.00069127535 0.0008088273 0.0017422244 0.0010825302 0.0018439859 0.0005526694 0.001300089 0.0005544239 0.00074566505 0.00074040156 0.00067548483 0.00078777317 0.0014843121 0.0018229317 0.0033160164 0.0012720169 0.0010351585 0.002073826 0.0012035911 0.0010737577 0.0010632307 0.00083514483 0.0012720169 0.0013597421 0.0017457334 0.0010509491 0.0005947775 0.00077198265 0.00042108144 0.0005403879 0.0044266186 0.001914166 0.0008211088 0.0012228907 0.002631759 0.002691412 0.0023931463 0.0009491877 0.0007035569 0.0009825233 0.00036493724 0.0004070454 0.00057372346 0.0014544855 0.0007842642 0.00068952085 0.0022545403 0.00084391737 0.0041213348 0.0020843532 0.00080531824 0.0013614966 0.001761524 0.0014474675 0.0010720032 0.0012948255 0.00082812685 0.0009948049 0.0011702555 0.0012386813 0.0019773282 0.0024124458 0.001324652 0.0046055783 0.002479117 0.0032089916 0.0028510722 0.0069443346 0.002191378 0.002042245 0.002475608 0.0044810083 0.0019194296 0.0012316632 0.003252854 0.0022931395 0.0036704266 0.0043020486 0.0025510518 0.0011562195 0.004940689 0.0044318824 0.006749585 0.0040546632 0.001626427 0.0018492494 0.0018071412 0.0017562605 0.0010018229 0.0014000958 0.0015123842 0.0013071069 0.0017281884 0.0010386675 0.0022422587 0.0011632375 0.00145624 0.0023001574 0.0012088546 0.0020001368 0.0010070865 0.0010562126 0.0012772804 0.0025299976 0.001008841 0.005502131 0.00094216975 0.0025194706 0.0009070796 0.0009035706 0.0012527173 0.00094567874 0.0009526968 0.0010176135 0.0010667397 0.0009842779 0.0018264408 0.0010141045 0.0010720032 0.0010351585 0.00091234315 0.0009597148 0.0011123568 0.00088778004 0.0009632238 0.0009228702 0.0010597216 0.0012474537 0.0012386813 0.0010983208 0.0010439311 0.00101235 0.0009404152 0.0008983071 0.0012790349 0.0009772598 0.0011807826 0.0010842847 0.0012123636 0.0011527104 0.0012421903 0.0012000821 0.0012842984 0.0011562195 0.0012141182 0.0010474401 0.001022877 0.0009860324 0.0010755121 0.0009790143 0.0011878005 0.00085795345 0.0010176135 0.001015859 0.00094392424 0.0009035706 0.0009895414 0.0009842779 0.0029247615 0.0013597421 0.0016001095 0.0015229112 0.0012193817 0.00086321693 0.0012737714 0.0013053524 0.0011018298 0.0013667602 0.0010632307 0.00090006157 0.0018720579 0.00091585214 0.00097550533 0.0010456856 0.001161483 0.001015859 0.00083163584 0.0008474264 0.0008456719 0.00071408396 0.0008421629 0.00082988135 0.0009228702 0.0008123363 0.00074040156 0.00085619895 0.00077198265 0.00063337665 0.0008421629 0.00066144875 0.0012737714 0.000721102 0.00071408396 0.00061934063 0.0008211088 0.00069127535 0.0007000479 0.0006772393 0.0025212253 0.00090006157 0.0006228496 0.0012737714 0.0012807894 0.0006386402 0.0007684736 0.0010456856 0.0013018434 0.00092813367 0.000721102 0.0010684942 0.0009790143 0.0006702213 0.00082812685 0.0009614693 0.0013334246 0.0007579466 0.00057372346 0.0007263655 0.0014650126 0.0008368994 0.0009369062 0.13356528 0.08640467 3.8710587e-05 3.5191442e-06 5.2787163e-06 7.0382885e-06 2.6393582e-06 1.4076577e-05 9.677647e-06 0.0 0.0 0.0 0.0 8.7978606e-07 0.0 0.0 0.0 0.008538323 0.00019179336 7.9180745e-06 7.9180745e-06 4.3989303e-06 5.2787163e-06 3.343187e-05 1.7595721e-05 2.6393582e-06 0.0 1.7595721e-06 8.7978606e-07 0.0 0.0 0.0 0.00019707208 0.013258375 0.0003721495 0.00014428492 4.5748875e-05 0.00017243806 4.222973e-05 0.00013988597 6.862331e-05 4.926802e-05 9.677647e-06 1.5836149e-05 2.5513795e-05 2.199465e-05 7.0382885e-06 2.199465e-05 1.9355293e-05 0.019973783 0.0012000281 0.0006184896 0.00015220298 0.00028241132 0.00011173283 0.0002850507 0.00016891892 0.00010821368 6.7743524e-05 7.302224e-05 6.95031e-05 6.95031e-05 0.00010205518 4.662866e-05 9.41371e-05 0.02873733 0.0009879997 0.0008621903 0.00066687784 0.0007302224 0.0010715794 0.001295045 0.0011375634 0.00012932855 3.6951013e-05 3.343187e-05 2.7273367e-05 3.5191442e-05 1.6715934e-05 3.2552085e-05 0.00023578266 0.015467518 0.00036863034 0.00073374156 0.00026129646 0.00018563485 0.00022258586 0.00083491695 0.00075749576 0.000341357 8.094031e-05 6.0705235e-05 5.6306308e-05 7.56616e-05 9.41371e-05 5.8945665e-05 0.00021994651 0.04054054 0.0006228885 0.0005076365 0.0043760557 0.00046452702 0.0031021256 0.009999648 0.0010663007 0.00027449324 1.6715934e-05 7.3902025e-05 9.853604e-05 0.00014252534 7.478181e-05 0.00013988597 0.010571509 0.088009395 0.001373346 0.0012123452 0.0006545608 0.0019795187 0.0031337978 0.011629892 0.011601739 0.0031540329 0.00022346566 0.0017340583 0.0024106137 0.0024167723 0.0024634008 0.0033370284 0.04124261 0.12882267 0.0025214667 0.00222058 0.0019592836 0.0031989021 0.0010680603 0.0045555322 0.0052329674 0.006423318 0.009397875 0.010109621 0.008308699 0.0074192355 0.0051370705 0.004017103 0.06447248 0.022267384 0.0013144003 0.0021440387 0.0013627886 0.0013372748 0.0011111698 0.0042827986 0.0027106209 0.0010267103 0.0009272945 0.0006308066 0.00048212273 0.0006052928 0.00045748873 0.0005041174 0.0038807362 0.02936462 0.0021880278 0.0029041737 0.0018616272 0.0027062218 0.0020956504 0.007039168 0.0057203686 0.0014120566 0.0012317004 0.00095016893 0.0007865287 0.0014498874 0.0006721565 0.00081116275 0.0036713472 0.009724275 0.0009923986 0.001171875 0.0011014921 0.0013478323 0.0007680532 0.002644637 0.0017296594 0.00059649494 0.0007179054 0.00042581646 0.00038094734 0.0004794834 0.00045572917 0.00040118242 0.0022874437 0.0054449956 0.00034751548 0.0010337486 0.00050147803 0.00067391613 0.00041173986 0.0004038218 0.00042933557 0.0005252323 0.0005613035 0.0004222973 0.00041261964 0.0006475225 0.00035983248 0.00034047719 0.0018985783 0.015186867 0.0032217766 0.0024273298 0.002840829 0.004498346 0.006842096 0.002557538 0.0038094735 0.0066230292 0.0016724733 0.0013619087 0.0015097129 0.0033299902 0.0015959318 0.0025856912 0.008405476 0.014447846 0.004116519 0.0039863107 0.0038305884 0.005390449 0.0056974944 0.0033906954 0.0044218046 0.0074113174 0.002006792 0.0020059121 0.0021326013 0.0046646255 0.001920573 0.0030035896 0.010852161 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2126.0 15.900282 33804.0 0.029345639 0.02381375 0.0052064843 0.0039936104 0.0057389657 0.004940244 0.0028399006 0.0036386226 0.0022482546 0.00218909 0.0033132173 0.0041119396 0.0038161164 0.006744764 0.013193705 0.0042302688 0.011004615 0.007277245 0.0049994085 0.0062122825 0.0041415216 0.0029286474 0.0031653058 0.001982014 0.004940244 0.00437818 0.003372382 0.0051473198 0.0035498757 0.0032540527 0.0023665838 0.0031948881 0.0084605375 0.012394982 0.0057093836 0.011093361 0.027925689 0.006981422 0.0063010296 0.007898473 0.0032244704 0.008519702 0.0021299254 0.0030469766 0.0036682049 0.006537688 0.005857295 0.004969826 0.008016802 0.0033132173 0.05872086 0.012187907 0.006064371 0.0045260917 0.0050289906 0.0039936104 0.004348598 0.002277837 0.0016566087 0.0010649627 0.0045260917 0.0018045201 0.0010649627 0.012217489 0.001893267 0.03310259 0.013075376 0.022689622 0.016625252 0.06877884 0.0065968526 0.01351911 0.011034197 0.036977872 0.0014199503 0.0025736599 0.02754112 0.015885694 0.03138682 0.036474973 0.014258668 0.0012720388 0.04313099 0.036208734 0.054904744 0.014495326 0.005354396 0.008164714 0.0055910544 0.010412969 0.0020411785 0.00053248135 0.0054431427 0.00023665838 0.010590463 0.0009762158 5.8079686 0.0 13.0 0.0 15.0 569961.0 339968.0 1.0 0.0 105.0 0.0 1.0 1.0 0.0 0.0 1161596900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1857524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.768358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.391288 0.0 5.106776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10766.0 0.0 298600.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 29444.0 298600.0 40960.0 0.0 0.0 5744.0 339968.0 0.0 0.0 28.0 16864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27656.0 0.0 0.0 444.0 16384.0 0.0 0.0 0.0 0.0