Input: 0.12847333 0.018394161 0.013813628 0.011570101 0.011897282 0.013533187 0.008145045 0.0077374093 0.005942894 0.002924707 0.0029553564 0.0022956308 0.0026258766 0.00316607 0.002740045 0.013160032 0.005663986 0.004622677 0.0032281347 0.0027944476 0.0023025267 0.0034296538 0.001880333 0.0020205535 0.0028197332 0.0019385666 0.0016565933 0.0016864763 0.0017477749 0.001648931 0.0020558 0.0019270731 0.00570383 0.003750705 0.0034649004 0.003126226 0.0077443053 0.004098574 0.0027906164 0.003248823 0.0043644565 0.0031231612 0.0026389025 0.0033323423 0.002759201 0.0031154987 0.0029024864 0.0026726166 0.005898453 0.0031078365 0.0031132 0.0045123394 0.0031147324 0.0028082398 0.0027346816 0.0026856426 0.0036457311 0.0031346546 0.002666487 0.003661822 0.0033369397 0.0029867718 0.002815902 0.0028105385 0.0050578965 0.008772588 0.003437316 0.004025782 0.0059237387 0.00496978 0.0032534203 0.0033790825 0.020882882 0.005525298 0.0029591874 0.0030687586 0.006534425 0.00421734 0.0038495488 0.0039667822 0.0051667015 0.0035422898 0.004244158 0.004185925 0.004471729 0.0039008863 0.0037054974 0.003958354 0.0039598863 0.0035637442 0.0033913422 0.0037077959 0.0043031583 0.0036702505 0.0037729256 0.0050900783 0.004246457 0.004523067 0.004018886 0.004439547 0.0042119767 0.0050479355 0.0046579232 0.003500147 0.003631939 0.0040771198 0.003413563 0.0033997707 0.0042847684 0.003493251 0.003856445 0.003919276 0.004356028 0.0028204995 0.0038824969 0.0044065993 0.006434049 0.0057383105 0.0031545765 0.0035070432 0.0029814083 0.0032243037 0.0027469413 0.002812071 0.003109369 0.0028802655 0.0026511622 0.002065761 0.004956754 0.0028572786 0.0022994617 0.006804139 0.0030220184 0.004870936 0.0020335794 0.0023799161 0.0034112642 0.0059252707 0.002101774 0.014804366 0.0022320333 0.0059697125 0.0020044625 0.0019906703 0.0026251103 0.0021163323 0.002048904 0.0020971766 0.0019538912 0.001741645 0.002012891 0.0020711247 0.0021109688 0.0019048523 0.001854281 0.0017860865 0.001900255 0.0019347355 0.0018113721 0.0018749693 0.0020496703 0.0013102564 0.0013332434 0.0013370746 0.0013914771 0.0011960879 0.001255854 0.0013669577 0.0016550608 0.0013761524 0.0012872695 0.001404503 0.0015454896 0.0014619704 0.0014650353 0.0015163729 0.0018749693 0.001447412 0.0014612041 0.0013930096 0.001467334 0.001417529 0.0027024997 0.0020305144 0.0027875514 0.0017830215 0.0018297617 0.0015723078 0.0015339962 0.0013730875 0.0016136842 0.0019768781 0.005191221 0.0037131596 0.0022826048 0.003549186 0.0025553831 0.0014834249 0.0019477614 0.0037054974 0.002660357 0.0021331895 0.0017569696 0.0018849304 0.011345595 0.0015447234 0.001787619 0.001940099 0.0022320333 0.0017600346 0.0017837877 0.0015845675 0.0013876458 0.0013899446 0.0014481782 0.0015316975 0.0018650084 0.001497217 0.0013738538 0.0015638792 0.0014742301 0.00136849 0.0014037368 0.0017906838 0.0022864358 0.0015960609 0.0014443471 0.0013600616 0.0015094768 0.0013179188 0.0012842045 0.0012979967 0.0032411607 0.0027921489 0.001414464 0.0027316166 0.0018198007 0.0013340097 0.0013822822 0.0016213466 0.0019247744 0.0012865033 0.0014979832 0.0013171525 0.0013041266 0.0011324907 0.0016167492 0.0016282427 0.0028894604 0.0018941251 0.0017462424 0.0017707618 0.0014987495 0.0036625883 0.0025354612 0.03957894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004124116 0.0 5.369943e-06 0.0 0.000115453775 8.745336e-05 0.0001281115 9.704254e-05 0.0 4.6028083e-05 2.761685e-05 4.1808842e-05 2.339761e-05 6.9042126e-06 0.0 9.972751e-06 0.012402267 0.0001645504 0.00032296372 0.00031567595 0.00023282539 0.00025008593 0.00023512679 0.0001304129 0.0004077321 7.019283e-05 5.101446e-05 7.939844e-05 0.00013923495 4.2575975e-05 4.526095e-05 3.605533e-05 0.008967805 0.00027079857 0.00044877382 0.00022246907 9.589184e-05 0.00016531753 0.00023435966 0.00011890588 0.00024011316 6.098721e-05 4.641165e-05 4.027457e-05 9.896038e-05 4.7178786e-05 6.4439315e-05 0.000660503 0.011798532 0.0019373987 0.00034405992 0.00045913013 0.00047447282 0.00043803392 0.00045989727 0.00035863547 0.0003678411 0.00027693564 0.00019830432 0.00021287988 0.00022898971 0.0001844959 0.0002523873 0.008716568 0.007061475 0.0009144246 0.0012933891 0.0017114775 0.0011280716 0.0014518024 0.002186334 0.0012435254 0.00025890797 0.00014268706 0.00020750995 0.00020674281 0.00022668831 0.00020712637 0.00022592118 0.0058858413 0.012666545 0.0011637433 0.0026976292 0.0027306161 0.0029365916 0.0016270927 0.003712165 0.0021767449 0.0005005554 0.00036055333 0.0003149088 0.00031529236 0.00042154052 0.00031068956 0.0002949633 0.003119937 0.021589857 0.0032445963 0.00647385 0.005642276 0.0068919384 0.007947899 0.009415428 0.005962938 0.0009428086 0.00077250466 0.0006110228 0.00086801295 0.0010191385 0.0010014944 0.0010191385 0.0027950553 0.057303812 0.0022289099 0.017284313 0.017413959 0.018682031 0.01863677 0.016513342 0.01109622 0.0033447074 0.0032142946 0.0011062083 0.0012719093 0.0014038566 0.0013436364 0.0014222678 0.0036960552 0.012146811 0.00317402 0.0028031103 0.0023048562 0.0028399327 0.004428669 0.003969922 0.0032729802 0.0038226324 0.0039050994 0.0017586563 0.0019554263 0.002011811 0.0020164137 0.001936248 0.0042127203 0.025789918 0.0061263377 0.0046031917 0.0038667426 0.008644458 0.0045636846 0.0054194233 0.0063012447 0.0087890625 0.0038049882 0.0048179897 0.006046172 0.009169178 0.005304353 0.0055621103 0.009808584 0.061691824 0.012796574 0.013748972 0.009665897 0.03801498 0.009487922 0.006655661 0.011710695 0.034139413 0.0055272058 0.004233433 0.007919132 0.025733918 0.006962515 0.010376264 0.019418865 0.008875365 0.005548302 0.0059537324 0.0052276393 0.0058889096 0.010895998 0.011003014 0.009935162 0.010152261 0.008447304 0.0046496037 0.0045218756 0.0050803497 0.0043350784 0.0042986395 0.005948746 0.004730536 0.003862907 0.0029024542 0.0035169292 0.0039626346 0.004713276 0.0048294966 0.0044083395 0.0047570025 0.005213064 0.004666097 0.0047834683 0.003964552 0.0037010415 0.0029431123 0.0030309493 6418.0 23.17186 148717.0 0.016628899 0.008849022 0.008358156 0.007712635 0.010745241 0.014013193 0.007067114 0.0088288495 0.007181425 0.0070267688 0.006656939 0.006939355 0.0068250434 0.0090104025 0.007927809 0.005910555 0.012372493 0.009992133 0.00956851 0.0090104025 0.008142983 0.009138161 0.008264018 0.0076252213 0.01055024 0.009951788 0.0076386696 0.0077866013 0.008593503 0.0076924628 0.008062293 0.007248667 0.008183328 0.016561657 0.008021948 0.010113168 0.009911442 0.0114849005 0.0080085 0.008371606 0.011417659 0.010469549 0.0075041857 0.0076252213 0.009339887 0.008526261 0.011020932 0.011780765 0.012204388 0.009064196 0.01256077 0.013098705 0.013576121 0.0111217955 0.010980587 0.011565591 0.00993834 0.00952144 0.00919868 0.00956851 0.010160238 0.010832655 0.010832655 0.01970185 0.009629027 0.018088046 0.013818191 0.014873888 0.013703881 0.023366528 0.011094898 0.010778862 0.010604033 0.01608424 0.010617482 0.009756787 0.015048717 0.011404211 0.015344581 0.015431995 0.011935421 0.008196777 0.014867164 0.016312862 0.019311847 0.011155416 0.008963333 0.008385054 0.0075781518 0.009709717 0.0073159086 0.007470565 0.007766429 0.007470565 0.006616594 0.0037117477 6.5170336 0.0 2.0 0.0 24.0 1305088.0 1327104.0 1.0 1.0 189.0 1.0 1.0 0.0 0.0 0.0 1541221600.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 354304.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 896000.0 0.0 0.0 0.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -354816.0 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 -5.459317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.312388 0.0 0.0 0.0 0.0 5.86701 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.387663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7202363 0.0 4.2905197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 895620.0 0.0 0.0 0.0 0.0 14748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -354227.0 0.0 248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 2.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 96.0 1250192.0 240.0 1250288.0 248.0 1318912.0 14748.0 1298432.0 0.0 0.0 1768.0 1323008.0 28.0 1228672.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 1228704.0 0.0 0.0 1600.0 360448.0 0.0 0.0 0.0 0.0


Input: 0.031808663 0.0074099978 0.004022822 0.003400373 0.0048366236 0.0032486098 0.003343187 0.0029428843 0.0033497852 0.0032024211 0.00308365 0.0027779243 0.0030352618 0.0029538816 0.0030286633 0.0029120918 0.0029164907 0.0033145938 0.0033277906 0.0029692778 0.0029406848 0.0028527062 0.0028307117 0.0028790997 0.0029252886 0.0027625281 0.0027141399 0.0026503555 0.002775725 0.002907693 0.0027647277 0.0029780758 0.0034597586 0.003215618 0.0028922965 0.0028593047 0.0028549058 0.002775725 0.0026745496 0.0027933207 0.0029032938 0.0029208895 0.0027361347 0.0059803454 0.0028725015 0.0028725015 0.0030726527 0.0058659734 0.006213489 0.005982545 0.0059077633 0.0060089384 0.0060001407 0.0060089384 0.0058527766 0.0058483775 0.006094718 0.0059605506 0.002861504 0.0027317356 0.0029010945 0.0040646116 0.002894496 0.0028087168 0.0029164907 0.006928315 0.006431236 0.0067457594 0.006385047 0.0067017702 0.0064048423 0.006138707 0.0061651007 0.006686374 0.006253079 0.006303667 0.0063828477 0.0065104165 0.0062640766 0.0061738985 0.0063520554 0.0063784486 0.0063674515 0.0062970687 0.006253079 0.0063366587 0.006224486 0.0062156883 0.0063014673 0.006151904 0.006398244 0.0027735254 0.002813116 0.0027537304 0.0027779243 0.0031980223 0.0026415575 0.007297825 0.0064620283 0.00682494 0.0067039696 0.00875827 0.0063630524 0.0067699538 0.006488422 0.0071746553 0.006147505 0.006385047 0.0068315384 0.006582999 0.0074077984 0.0074077984 0.006501619 0.0065280125 0.0072318413 0.0073836045 0.0075683594 0.0070096953 0.0061892946 0.006213489 0.0063388585 0.006622589 0.0062794727 0.0027823234 0.0027273367 0.002747132 0.0027515308 0.002907693 0.0029054934 0.003092448 0.0029252886 0.0028351105 0.0027603286 0.0028021184 0.0028109164 0.0027229378 0.0028109164 0.002766927 0.0027779243 0.0028461078 0.0027141399 0.002832911 0.0027867223 0.002813116 0.0028439083 0.0028021184 0.002828512 0.0027933207 0.0027405336 0.0029098922 0.002865903 0.002865903 0.0029538816 0.0027801238 0.0027449324 0.0028769004 0.002894496 0.002857105 0.0027273367 0.002634959 0.0027779243 0.0026899457 0.0029120918 0.0027229378 0.0027251372 0.0028351105 0.0029428843 0.0028769004 0.0028109164 0.0028725015 0.0029802753 0.0026569539 0.002676749 0.0028395094 0.0029450837 0.0026657516 0.0027911211 0.0028395094 0.0027955202 0.0028769004 0.0027273367 0.0027317356 0.0028219137 0.0027647277 0.002898895 0.0027405336 0.0027295363 0.0028021184 0.0027625281 0.0027251372 0.0027889218 0.0026943448 0.0028065175 0.0027559297 0.0027889218 0.0028395094 0.0031232403 0.0027779243 0.0032266153 0.0027075415 0.0028109164 0.0028725015 0.0027647277 0.0027229378 0.0029494828 0.0029846742 0.0028725015 0.0027845227 0.0028219137 0.0028527062 0.0027427329 0.0026261613 0.002775725 0.0027933207 0.002832911 0.0027889218 0.0029010945 0.0028395094 0.002771326 0.0029054934 0.0029032938 0.0027559297 0.0028900972 0.0028725015 0.0028637035 0.002841709 0.0027779243 0.0028878977 0.002775725 0.0026987437 0.0028241132 0.002861504 0.0028812992 0.002775725 0.0027801238 0.002865903 0.002865903 0.0027295363 0.0027603286 0.002771326 0.00283731 0.0027141399 0.0029120918 0.0027801238 0.0029142913 0.0027625281 0.0027185387 0.0027251372 0.0027801238 0.0029384855 0.0027911211 0.002709741 0.0027295363 0.002973677 0.0026833473 0.0026899457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016830823 0.0 0.00010691486 7.1643975e-05 1.322658e-05 8.81772e-06 0.0002270563 0.00014218573 0.0 0.0 0.0 2.20443e-06 0.0 0.0 1.102215e-06 1.102215e-06 0.0015673498 9.258606e-05 7.6052835e-05 3.306645e-05 5.1804105e-05 3.306645e-05 0.00025130503 9.368828e-05 3.747531e-05 4.40886e-06 4.40886e-06 4.40886e-06 2.20443e-06 0.0 4.40886e-06 1.102215e-06 0.0037409177 7.495062e-05 0.00010911928 9.1483846e-05 0.0009357805 0.00050261006 0.003598732 0.001558532 8.597277e-05 0.000120141434 0.000101403784 8.81772e-05 5.8417394e-05 5.6212964e-05 6.282626e-05 0.000101403784 0.007908393 0.0004838724 0.00044970372 0.00039459296 0.002009338 0.0012785695 0.0039293966 0.0023929088 0.00030200693 0.00022595408 0.00022926072 0.00016753668 0.0001697411 0.000102506 0.00010911928 0.00016312783 0.01586418 0.0009886869 0.006792951 0.031423047 0.048929527 0.035693027 0.050774638 0.03735517 0.00062936475 0.00051914324 0.0007241553 0.00051253 0.0008024125 0.0005235521 0.0004552148 0.0005180411 0.005917792 0.00056653854 0.0015827807 0.0021184573 0.003537008 0.0025582411 0.003701238 0.0028591456 0.00031743792 0.00026894046 0.00056653854 9.699492e-05 0.0002998025 0.00015651454 0.0001543101 0.00012895916 0.00071754196 0.00025461166 0.00018296769 2.20443e-05 0.0001102215 0.00010471042 0.00046733915 0.00026232717 8.487055e-05 7.7155055e-06 6.61329e-06 6.61329e-06 4.40886e-06 7.7155055e-06 5.511075e-06 1.2124365e-05 0.0019410006 0.00046733915 0.00024248731 0.00015761674 0.00016423003 0.00018406991 0.000205012 0.00014328795 0.0001322658 0.00017855882 0.00010581264 0.00010801707 0.00010581264 0.00013116359 0.000120141434 0.00012785694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.044104032 0.043677475 0.043300517 0.044002626 0.043840602 0.043410737 0.043296106 0.04315613 0.043712746 0.043895714 0.043293905 0.04360032 0.04444572 0.044193313 0.044141505 0.043702826 2911.0 40.084507 116686.0 0.0016111616 0.00095984095 0.0012083711 0.0008570008 0.0009684109 0.001079821 0.0009084209 0.000976981 0.001011261 0.000976981 0.0008912809 0.012666472 0.00088271085 0.0009855509 0.0014826114 0.012572202 0.012880723 0.012803593 0.012692182 0.013514903 0.013240663 0.013086403 0.012683612 0.012863583 0.013334933 0.012717892 0.00094270095 0.0008398608 0.0011055311 0.0058190357 0.0011141011 0.0009169909 0.0011312411 0.016111616 0.014748984 0.016163036 0.015048935 0.015820235 0.014671855 0.014406184 0.014106234 0.015614555 0.014183364 0.013917694 0.014303344 0.015031795 0.013994824 0.014380474 0.014774694 0.014766124 0.014440464 0.014843254 0.014534734 0.0143633345 0.013943404 0.014509024 0.014320484 0.014209074 0.014371905 0.00084843085 0.0008398608 0.0008912809 0.0008912809 0.002082512 0.00084843085 0.017765628 0.0154260155 0.016205886 0.016180176 0.023404693 0.014534734 0.016180176 0.014723275 0.017439967 0.014509024 0.014860394 0.016068766 0.015323175 0.018845448 0.018648338 0.015263185 0.014860394 0.018031297 0.018142708 0.019376788 0.016488696 0.014637575 0.014517594 0.014740414 0.015451726 0.014260494 0.00073702075 0.0008398608 0.00095984095 0.0009169909 0.0009512709 6.174424 0.0 0.0 0.0 33.0 454656.0 491520.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1254745300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 133120.0 1024.0 4096.0 5.0 0.0 1.0 3.0 1.0 512.0 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 -317952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132608.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2169173 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4279623 0.0 4.277221 0.0 0.0 0.0 0.0 0.0 0.0 16.0 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 -317664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132176.0 0.0 1624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 328700.0 1624.0 466944.0 0.0 0.0 0.0 0.0 12.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 483328.0 0.0 0.0 72.0 327680.0


Input: 0.9745056 0.00045936683 0.00021419417 0.00025933425 0.00043546915 0.00017967528 0.00012568418 0.00013630537 0.00050804735 6.461229e-05 6.992289e-05 0.00016020308 0.00027438096 6.992289e-05 6.195699e-05 0.00037085684 0.00022393027 4.4254994e-05 3.3633794e-05 3.0093395e-05 0.00015046698 0.00014427128 3.9829494e-05 3.4518896e-05 0.00014338618 2.8323197e-05 2.4782796e-05 3.9829494e-05 7.257819e-05 2.9208295e-05 2.1242397e-05 4.4254994e-05 0.00011240768 1.7701997e-05 2.1242397e-05 3.8944396e-05 0.00012745438 2.4782796e-05 3.9829494e-05 2.5667896e-05 6.284209e-05 1.3276498e-05 1.15062985e-05 0.00018410078 5.3105992e-05 1.5931797e-05 1.4161598e-05 1.2391398e-05 6.549739e-05 1.5931797e-05 5.753149e-05 0.00026730017 5.753149e-05 3.3633794e-05 2.4782796e-05 1.3276498e-05 6.372719e-05 7.346329e-05 1.5931797e-05 0.00020711336 6.284209e-05 3.7174195e-05 2.3012597e-05 1.6816897e-05 0.00014515637 0.0004921155 5.133579e-05 5.576129e-05 6.195699e-05 0.00043900954 0.00016639878 4.8680493e-05 8.054409e-05 3.1863594e-05 2.0357296e-05 1.15062985e-05 4.7795394e-05 0.00025313857 5.2220894e-05 3.0978495e-05 0.00027526607 0.00010886729 3.4518896e-05 0.00015754778 2.1242397e-05 0.00023632166 0.00022835577 0.00015931798 6.638249e-05 0.00020003258 1.5046698e-05 7.965899e-05 3.0978495e-05 0.00028500217 0.00017790508 0.00011329279 9.0280184e-05 7.346329e-05 1.9472198e-05 1.3276498e-05 3.2748696e-05 3.6289093e-05 0.00014250109 1.3276498e-05 0.00013984578 1.5046698e-05 0.00022216007 1.5931797e-05 2.3897697e-05 1.3276498e-05 1.5931797e-05 1.2391398e-05 4.1599695e-05 2.0357296e-05 4.6910292e-05 0.000118603384 0.00038855884 0.00047352843 4.6025194e-05 3.9829494e-05 4.0714593e-05 2.9208295e-05 1.15062985e-05 1.9472198e-05 3.6289093e-05 9.0280184e-05 6.549739e-05 4.2484793e-05 9.116529e-05 0.00011240768 2.2127497e-05 0.00059744244 0.000110637484 0.00037262705 1.0621198e-05 1.15062985e-05 5.841659e-05 0.0006009828 6.992289e-05 0.0015701671 4.3369895e-05 0.00038324823 1.5931797e-05 8.850999e-06 2.0357296e-05 8.850999e-06 2.6552996e-06 1.0621198e-05 2.8323197e-05 1.9472198e-05 4.4254994e-06 5.310599e-06 1.9472198e-05 1.15062985e-05 8.850999e-07 4.4254994e-06 1.2391398e-05 1.6816897e-05 2.6552996e-06 6.195699e-06 2.3012597e-05 4.3369895e-05 9.736099e-06 2.3897697e-05 1.9472198e-05 1.3276498e-05 4.4254994e-06 1.7701998e-06 3.0093395e-05 1.2391398e-05 5.310599e-06 1.7701997e-05 7.080799e-06 4.4254994e-06 2.6552996e-06 3.8059294e-05 5.399109e-05 1.2391398e-05 3.5403996e-06 1.15062985e-05 1.8587098e-05 1.5046698e-05 6.992289e-05 7.611859e-05 8.850999e-05 3.8944396e-05 1.3276498e-05 1.5931797e-05 1.2391398e-05 2.0357296e-05 3.4518896e-05 2.0357296e-05 0.00038147805 0.00031598067 0.00014161598 0.00026730017 9.3820585e-05 1.9472198e-05 8.319939e-05 0.00016374348 0.00014073087 7.611859e-05 2.7438096e-05 2.1242397e-05 9.116529e-05 1.9472198e-05 7.346329e-05 5.3105992e-05 0.00012568418 2.7438096e-05 4.6910292e-05 5.2220894e-05 1.5046698e-05 4.4254994e-06 2.9208295e-05 2.0357296e-05 8.054409e-05 3.7174195e-05 1.6816897e-05 8.408449e-05 3.5403995e-05 3.8059294e-05 1.15062985e-05 1.2391398e-05 8.1429185e-05 3.0978495e-05 5.399109e-05 6.195699e-06 7.080799e-05 7.080799e-05 5.3105992e-05 5.399109e-05 0.0007824283 8.319939e-05 2.5667896e-05 0.00026287467 0.00025136836 9.736099e-06 1.3276498e-05 1.3276498e-05 0.00026110446 5.4876193e-05 2.3012597e-05 2.8323197e-05 0.00013365009 1.8587098e-05 9.7360986e-05 6.903779e-05 0.00030978495 7.788879e-05 2.8323197e-05 7.257819e-05 0.00024251736 0.00011594808 9.647589e-05 0.0015046698 0.97096187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00058930495 1.5064938e-05 1.3292593e-05 1.9938889e-05 1.860963e-05 2.1711236e-05 1.3292593e-05 3.2788397e-05 6.0259754e-05 1.7723457e-06 3.101605e-06 1.0190988e-05 3.1459138e-05 8.418642e-06 2.7471358e-05 4.0763953e-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 0.00042624914 3.0129877e-05 3.0129877e-05 1.3292593e-05 5.22842e-05 5.095494e-05 4.475173e-05 4.2536296e-05 5.1841114e-05 6.20321e-06 7.089383e-06 1.1963334e-05 3.8105434e-05 9.304815e-06 3.9434693e-05 5.3170374e-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 0.0034941796 0.0005786709 0.00041029803 0.0005192973 0.0010443548 0.0012043089 0.00035535533 0.0008143929 0.0024210243 8.595877e-05 0.00011830408 0.00027559977 0.0010620782 0.00026983963 0.0010186557 0.0017541792 0.0025229342 0.0004701147 0.0002999695 0.0004834073 0.0008591446 0.00090655487 0.00044618803 0.00061145925 0.0015503594 7.798321e-05 0.00012627963 0.00020381976 0.0008365472 0.00034737977 0.0007683119 0.0012862799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 6.1833334 371.0 0.026954178 0.0026954177 0.0026954177 0.0053908355 0.03504043 0.0 0.008086253 0.0 0.008086253 0.0026954177 0.0 0.013477089 0.010781671 0.0026954177 0.018867925 0.0 0.0026954177 0.008086253 0.0053908355 0.0026954177 0.0026954177 0.0053908355 0.0026954177 0.008086253 0.008086253 0.010781671 0.0026954177 0.053908356 0.008086253 0.0 0.0026954177 0.0026954177 0.016172506 0.013477089 0.008086253 0.0026954177 0.008086253 0.0026954177 0.02425876 0.010781671 0.0 0.0 0.0053908355 0.0 0.0026954177 0.0026954177 0.0026954177 0.0053908355 0.02425876 0.018867925 0.008086253 0.045822103 0.008086253 0.008086253 0.026954178 0.02425876 0.021563342 0.021563342 0.008086253 0.013477089 0.008086253 0.008086253 0.008086253 0.013477089 0.0053908355 0.018867925 0.0026954177 0.010781671 0.010781671 0.016172506 0.021563342 0.010781671 0.013477089 0.010781671 0.051212937 0.0026954177 0.008086253 0.0053908355 0.016172506 0.010781671 0.0053908355 0.0 0.021563342 0.010781671 0.06199461 0.026954178 0.0026954177 0.0 0.0026954177 0.0 0.0 0.0026954177 0.0 0.0 0.008086253 0.0053908355 5.828012 0.0 0.0 0.0 4.0 1129816.0 1130496.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1499998100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 990208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.240777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 990168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 990168.0 131072.0 0.0 0.0 19288.0 1110528.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.060362473 0.0043904213 0.0040323166 0.0038576315 0.0038081375 0.0029725598 0.0035781353 0.003458767 0.0040439623 0.0036276295 0.0039129485 0.0035577554 0.004527258 0.0036218066 0.003348133 0.003889657 0.0036538322 0.0031064851 0.0036858579 0.0029754713 0.0030599025 0.0036887692 0.0044195354 0.0030890168 0.0038692772 0.0030686366 0.0028328118 0.003473324 0.003534464 0.003292816 0.004166242 0.003805226 0.0037819347 0.0032083848 0.0047514373 0.00291142 0.0037033262 0.0034966154 0.003819783 0.0030424339 0.0034704127 0.0037033262 0.004402067 0.003368513 0.003514084 0.0029521799 0.0038343403 0.0029347115 0.0037207948 0.0029085085 0.0035810466 0.0032345876 0.003519907 0.003790669 0.0038838342 0.0030307882 0.0033888929 0.0035868695 0.003799403 0.0035053496 0.0034121843 0.0034121843 0.0032695248 0.0033015504 0.0058898027 0.0045156125 0.0029987625 0.0029958512 0.004873717 0.01254822 0.0028007862 0.004026494 0.0036858579 0.003910037 0.0030191427 0.0029667371 0.0039828224 0.004943591 0.0044748527 0.0033918044 0.005199796 0.004207002 0.0031472452 0.0036683893 0.0043496615 0.0045359926 0.0041051023 0.0029900284 0.004463207 0.0038110488 0.0035926923 0.003845986 0.0032986389 0.0050221994 0.0039595314 0.0031414223 0.0036480094 0.0035635782 0.0034704127 0.0035169953 0.0039566197 0.0038488973 0.0035664896 0.003845986 0.00342383 0.0033452217 0.004157508 0.0041807992 0.004521435 0.0031093967 0.003659655 0.0032695248 0.0034878813 0.0028153432 0.0031443336 0.00438751 0.0038547202 0.0034121843 0.004629158 0.0029347115 0.0035315526 0.0028590146 0.0029725598 0.0034558557 0.0033510444 0.0039013028 0.0033102846 0.0028007862 0.004600044 0.004070165 0.0035635782 0.004402067 0.0035694009 0.0041283937 0.0029900284 0.0030395226 0.0041225706 0.0043787756 0.0031472452 0.006108159 0.0037732003 0.0036829463 0.0031472452 0.0028793945 0.004463207 0.0027571148 0.0031006623 0.0031472452 0.0035577554 0.00342383 0.0030191427 0.0033510444 0.002925977 0.00291142 0.0029434457 0.0034209185 0.0030249655 0.0038081375 0.0032607904 0.0039391513 0.0039245943 0.0034267413 0.0032666132 0.00342383 0.0033859815 0.0029405341 0.0032753476 0.0028881286 0.0042943447 0.0029667371 0.003784846 0.003292816 0.0035519325 0.0032287647 0.0028095203 0.0032316763 0.0039478857 0.0031588906 0.0037440863 0.0037062378 0.003353956 0.0032112964 0.0029783826 0.0034092728 0.0036916807 0.0038343403 0.0030511683 0.003543198 0.0031443336 0.0050134654 0.0031239537 0.0028823058 0.003097751 0.0035956039 0.0033306645 0.0033044617 0.0029987625 0.002917243 0.010323895 0.0038226945 0.0030336997 0.0030482567 0.0028706603 0.004262319 0.0057151173 0.003353956 0.0037586433 0.003514084 0.0038663659 0.0040526967 0.0027163548 0.0032607904 0.0038488973 0.002780406 0.0035519325 0.0033976273 0.0030686366 0.0045301695 0.0034645898 0.0029085085 0.0039624427 0.0034966154 0.0030861052 0.003339399 0.0045010555 0.002876483 0.0034471212 0.0030890168 0.00342383 0.0037237064 0.0035228182 0.0035956039 0.0058315746 0.003930417 0.0041545965 0.003880923 0.004166242 0.0038721887 0.0030802824 0.0029055972 0.0043991557 0.0036450978 0.004824223 0.003243322 0.003278259 0.0042244704 0.0037178835 0.0042710532 0.004431181 0.0035082612 0.0030045854 0.004201179 0.004160419 0.0035111725 0.0032695248 0.0066380375 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.05422992 0.0526949 0.05398578 0.053342532 0.050107304 0.056251753 0.05307208 0.051874764 0.051332396 0.050116077 0.051538523 0.05373579 0.04957663 0.05281478 0.05497404 0.05466411 1404.0 7.8240743 10985.0 0.008648156 0.0070095584 0.0066454257 0.0061902595 0.0062812925 0.0074647246 0.019572144 0.0061902595 0.007191625 0.0061902595 0.006463359 0.0054619936 0.006554392 0.00591716 0.007191625 0.004824761 0.006372326 0.006008193 0.0069185253 0.0093764225 0.0058261263 0.0057350933 0.020118343 0.0070095584 0.0067364587 0.007191625 0.007191625 0.006554392 0.004824761 0.0069185253 0.00591716 0.0054619936 0.0068274923 0.03559399 0.006372326 0.0070095584 0.06681839 0.0073736915 0.0067364587 0.038507055 0.006554392 0.03668639 0.0061902595 0.0055530267 0.0067364587 0.008557123 0.035320893 0.0061902595 0.03777879 0.0074647246 0.006372326 0.0073736915 0.006372326 0.00564406 0.0068274923 0.007646791 0.036231223 0.007282658 0.0060992264 0.00591716 0.0055530267 0.00564406 0.006463359 0.010104688 0.006372326 0.010286755 0.0069185253 0.008375057 0.011925353 0.017933546 0.0075557576 0.009649522 0.006554392 0.010286755 0.007282658 0.0060992264 0.010468821 0.010013655 0.010923987 0.010468821 0.020482477 0.0055530267 0.010377788 0.02366864 0.0136549845 0.007282658 0.019390078 0.0062812925 0.006554392 0.0062812925 0.006463359 0.0057350933 0.0058261263 0.0066454257 0.0066454257 0.0062812925 6.19228 0.0 0.0 0.0 9.0 343475.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 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 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -2.0 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 -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 0.0 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 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 -2.0 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 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 2.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 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 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.17916963 0.00977395 0.004905183 0.004364225 0.0053198915 0.0030767615 0.0030498265 0.0053712036 0.0063267197 0.0023186686 0.0024318257 0.002325139 0.0046433564 0.002494273 0.0022092734 0.004452554 0.0043309703 0.0022250733 0.0021851973 0.0021269636 0.0030874452 0.0032037625 0.0022425284 0.002213637 0.0027542936 0.0022386159 0.0020348728 0.0022115305 0.0026829685 0.0020711373 0.0019629458 0.0021209444 0.005177994 0.002051726 0.0027551965 0.0021945268 0.0030711938 0.0023376285 0.0023838242 0.002706894 0.0030143145 0.0021116151 0.0021641308 0.002773404 0.0025224118 0.0038988062 0.002289025 0.0022187533 0.0038834577 0.0029947527 0.0029956554 0.0051090764 0.003112725 0.0027141168 0.0028296816 0.0027336786 0.0032407793 0.00342481 0.0027086998 0.00347552 0.0030761596 0.0030985803 0.0028588737 0.0030632187 0.0041838055 0.0031574161 0.0026795077 0.003316468 0.0037347884 0.007719516 0.0033567953 0.0025592782 0.0030144649 0.002758206 0.0022944422 0.0022607357 0.0025642437 0.0048914896 0.002972031 0.0026297003 0.0065899002 0.0029675167 0.0026491117 0.0034803352 0.0030256 0.0037892605 0.004160181 0.0034252615 0.0024540962 0.0028951382 0.0022363588 0.003001524 0.0042856773 0.004033933 0.003272379 0.003103847 0.0037420113 0.0039430456 0.0023389827 0.002596295 0.0032701218 0.004978163 0.0029031134 0.002252911 0.004095778 0.0032710247 0.00456842 0.0023273963 0.0033039786 0.0024912634 0.0033414469 0.00347236 0.0034550556 0.0021051448 0.0040491307 0.0035441366 0.007087822 0.007529466 0.0025984016 0.0029285436 0.0031207001 0.0027652783 0.0023164116 0.0022792441 0.0024420582 0.0032003014 0.0023734416 0.002346657 0.0035263808 0.002379611 0.0020043266 0.0063006873 0.0037078534 0.006398045 0.0033695858 0.0029619492 0.0034750686 0.0069480306 0.0019635477 0.01794098 0.0022792441 0.00767016 0.0023427447 0.0023562873 0.003157717 0.0018690495 0.0019278852 0.0022550176 0.002213336 0.0019778428 0.0017777112 0.001827067 0.0023129506 0.0021474282 0.0017656732 0.0018645353 0.002306781 0.0021501367 0.001955422 0.0020351738 0.0029915927 0.0022459892 0.0018073547 0.001974081 0.0022489987 0.0029314028 0.0019062167 0.0018413621 0.0025239165 0.002195279 0.0018735637 0.0017707893 0.0022061134 0.0018195432 0.0018789808 0.0018227032 0.0023908967 0.0019539173 0.0018369983 0.002029155 0.0021331331 0.0020460081 0.0021164303 0.002229136 0.003568965 0.0020721906 0.0021645823 0.002166388 0.002410308 0.002067827 0.002231694 0.0024586103 0.006167066 0.0028700088 0.0031547076 0.0030859404 0.0026993703 0.0020473623 0.00302244 0.0032684666 0.0033429516 0.0026906428 0.0019925893 0.0024351364 0.0047482373 0.002052328 0.003019882 0.0026494125 0.0031380048 0.0022515568 0.0020741469 0.0021263617 0.0023623065 0.0019773915 0.0019472964 0.0019492527 0.0033346757 0.0022387665 0.0018160823 0.0024110603 0.002646102 0.0021557042 0.001901853 0.0019644506 0.0030176248 0.0019126872 0.0019355594 0.0018278193 0.0029059723 0.0026280452 0.0018082575 0.001940525 0.010208974 0.0031328886 0.0018907179 0.0034255625 0.004648322 0.0019725761 0.0021703003 0.0022304903 0.004729127 0.0026677705 0.002307082 0.002319722 0.0031151327 0.0022799966 0.0033072892 0.007740883 0.0042259386 0.002875125 0.0026281956 0.0030457636 0.005470066 0.0025332458 0.002797179 0.042259537 0.00045366204 8.73006e-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 0.0011723868 3.808112e-05 4.8165844e-06 1.0536279e-06 6.0207304e-07 6.0207304e-07 4.515548e-07 7.5259135e-07 2.257774e-06 4.515548e-07 7.5259135e-07 5.2681395e-07 1.8814783e-06 5.2681395e-07 1.4299235e-06 0.00016060298 0.002116362 1.5653899e-05 6.698063e-06 3.6199643e-05 2.7018028e-05 2.694277e-05 5.7949533e-06 4.4402886e-06 7.751691e-06 5.7949533e-06 8.127986e-06 7.3001356e-06 7.3001356e-06 9.031096e-06 1.15899065e-05 0.00032421635 0.0014131407 5.19288e-05 1.7911674e-05 9.55791e-06 9.7084285e-06 9.858946e-06 1.0987833e-05 3.6876975e-06 6.7733217e-06 3.9134748e-06 9.7084285e-06 1.0009465e-05 1.3095089e-05 8.353763e-06 1.2718793e-05 0.0004123448 0.0027874478 8.203246e-05 4.0414154e-05 1.5428122e-05 3.213565e-05 2.6792251e-05 2.0997299e-05 1.5954936e-05 3.4092387e-05 6.0959896e-06 1.4073457e-05 1.1063093e-05 2.3480849e-05 1.5503381e-05 3.2286167e-05 0.0006954696 0.013336821 0.00018604058 0.00027612576 8.7977925e-05 0.00014186346 7.194773e-05 0.0006069649 0.00026859983 0.00061983423 8.602119e-05 0.00051590137 5.283191e-05 8.293556e-05 0.00021358542 7.8344754e-05 0.0012533655 0.019883763 0.00017061245 0.00072128355 0.00015623796 0.00055654126 0.00042122536 0.0026194693 0.0013971858 0.00048564718 0.00014668005 0.00041859128 8.858e-05 0.000121167206 0.0003802844 0.00016233395 0.002017622 0.02697927 0.0003725327 0.0016556256 0.00029102707 0.0019620056 0.0014732728 0.0039871535 0.0024466743 0.00081355125 0.00035258904 0.00017520325 0.00019529744 0.00029305907 0.00035770665 0.00030359533 0.0024228173 0.01716277 0.00032737723 0.0006224683 0.00048211002 0.00092049444 0.0007166927 0.0015506392 0.0009819812 0.0011920294 0.0006559586 0.0004623921 0.00042235426 0.000471649 0.00074145297 0.00042220374 0.00199813 0.009913509 0.00036267375 0.0010321038 0.0005563155 0.0012011358 0.00082085136 0.0027080493 0.0019352885 0.0011070619 0.00078593113 0.00046171478 0.0005992885 0.0006504647 0.00065460394 0.0006108784 0.0028023492 0.011892222 0.00042671929 0.001798919 0.0010883976 0.0025667127 0.0016146094 0.0035392111 0.0021955348 0.0012274012 0.0005563908 0.00062946737 0.0010704106 0.0008778225 0.0009962803 0.0012946076 0.0044460087 0.012776743 0.0013782957 0.0016592381 0.01297031 0.0032444964 0.001856116 0.002726864 0.0024183018 0.0021206518 0.001628156 0.0016842994 0.0017650524 0.0016922768 0.001865975 0.0018870474 0.004583883 0.013186454 0.0010526495 0.0021348759 0.0017125215 0.0032884479 0.0019601993 0.0018436982 0.0019718646 0.0036633888 0.0014347401 0.0015440164 0.0016483255 0.002809574 0.0019185811 0.0018616852 0.007136673 0.036902487 0.005079766 0.0044448795 0.0050312234 0.008533783 0.011571693 0.0050440175 0.008120761 0.023058947 0.003224628 0.003042275 0.0038357321 0.011868365 0.0037034266 0.010143275 0.022085244 0.02826176 0.0074550943 0.00659556 0.006152359 0.009249196 0.012708934 0.0059045306 0.009772022 0.020973742 0.004614965 0.005202438 0.0059829503 0.010358366 0.005606128 0.010738575 0.022124982 0.04398294 0.022676932 0.022656612 0.022722086 0.02236152 0.022092694 0.022312753 0.022603028 0.020320868 0.02004286 0.019870218 0.020188112 0.019979117 0.01982604 0.020101188 0.021857359 20714.0 11.845129 245360.0 0.0373329 0.0035621128 0.016094718 0.004043039 0.007853766 0.0036843822 0.0043405606 0.004291653 0.0070019565 0.0030159766 0.0037047605 0.0036843822 0.006716661 0.0059585916 0.0072791 0.0063131726 0.017028041 0.014505217 0.013274373 0.0122065535 0.014692697 0.0122962175 0.012663025 0.011933485 0.01547522 0.012964623 0.012491848 0.012243235 0.016575644 0.017851321 0.014036518 0.014594881 0.015658624 0.0117582325 0.005404304 0.014007988 0.010751549 0.006912292 0.0066188457 0.0052045975 0.00867297 0.0104499515 0.0032116075 0.004246821 0.011183567 0.0074788067 0.012980926 0.0074462015 0.015414085 0.00547359 0.008302087 0.012479622 0.012760841 0.0059015322 0.008876752 0.00924356 0.0071119987 0.0040348875 0.0032890446 0.0035702642 0.010013857 0.0038270296 0.0050171176 0.00569775 0.010185034 0.019318553 0.008204271 0.010368438 0.015393707 0.03827845 0.007890447 0.007654059 0.010894196 0.019090317 0.0046177045 0.0056732963 0.01706472 0.008689273 0.018051026 0.027808119 0.011477013 0.0040674927 0.026316432 0.0129238665 0.025334204 0.011644115 0.0052616564 0.010209488 0.010543691 0.013225465 0.0046666125 0.0049274536 0.0075480924 0.0035417345 0.0032482883 0.003170851 6.3315544 1.0 35.0 0.0 35.0 6645624.0 7475200.0 1.0 0.0 708.0 1.0 1.0 1.0 1.0 0.0 1494245900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1837568.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 0.0 0.0 -158208.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 2792448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -655872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1838080.0 0.0 1185792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.483822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.2311053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9004154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.45395 0.0 5.9445767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -157784.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 2792442.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1475560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1837619.0 0.0 1185304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -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 2.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -2.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 2.0 1.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 1.0 -3.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 3.0 1.0 1.0 0.0 0.0 1.0 1.0 3.0 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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -4.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 1.0 1.0 -2.0 -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 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 2.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 2.0 0.0 -1.0 1.0 2.0 1.0 -1.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 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 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 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 500.0 4619308.0 1185304.0 6127616.0 0.0 0.0 13176.0 6632448.0 157784.0 7315456.0 112.0 4469648.0 0.0 0.0 0.0 0.0 24.0 4469852.0 64.0 4469760.0 0.0 0.0 2928.0 1843200.0 0.0 0.0 0.0 0.0


Input: 0.010760628 0.009479094 0.0030443666 0.004996627 0.0041693323 0.004606175 0.0040320945 0.0037112278 0.004714419 0.009042252 0.0038716611 0.004770474 0.0031429462 0.0045926445 0.008464306 0.0034754102 0.0037228253 0.004501797 0.0037112278 0.0043529607 0.0035894532 0.005081676 0.004490199 0.0054489328 0.0036029837 0.0043278327 0.004571382 0.0037788805 0.0038639293 0.0060230135 0.009098307 0.004196394 0.0041422714 0.0029013297 0.0038503988 0.0035875202 0.0043974183 0.004014698 0.0037228253 0.003593319 0.0046448335 0.0043374975 0.0048883827 0.0035527274 0.0041731982 0.004799468 0.0031487448 0.0029361225 0.008466238 0.0033304405 0.003197068 0.0077297916 0.0034367517 0.0055455794 0.0043104365 0.003624246 0.0036126482 0.0044805342 0.0036996303 0.0037286242 0.0027312317 0.0038310695 0.0031100863 0.0035585263 0.0025881948 0.0038697282 0.0029071285 0.003925783 0.0037382888 0.00328405 0.00362038 0.003983771 0.003919984 0.0041190763 0.0038639293 0.0038813257 0.0058509824 0.0048458586 0.004441876 0.005696348 0.005043017 0.002557268 0.0032105986 0.0054779267 0.003979905 0.0034193553 0.003398093 0.0038793928 0.003535331 0.0037827464 0.0038117403 0.003676435 0.0037692157 0.0035797886 0.0028278783 0.0040398263 0.003539197 0.0038658623 0.0023929689 0.0033497696 0.002974781 0.0033265746 0.003061763 0.0028955308 0.003117818 0.0044844 0.003902588 0.0028278783 0.0029013297 0.0043452294 0.0037962769 0.0024470908 0.0023968345 0.0028800673 0.0035179346 0.003202867 0.0033227087 0.003338172 0.0033633 0.0034270869 0.0030462996 0.0049811634 0.0031874035 0.0030656287 0.0032163975 0.0033053122 0.002864604 0.0032743854 0.002949653 0.004495998 0.0046448335 0.0037576181 0.0051184017 0.0038310695 0.0030694946 0.0040282286 0.0035623922 0.008243951 0.005903172 0.0041693323 0.0044186804 0.008721385 0.004200259 0.002891665 0.0022943893 0.0027254329 0.0038330024 0.004412882 0.0035565933 0.003821405 0.0038542647 0.0030308361 0.0025495363 0.0030057079 0.004043692 0.0027312317 0.0038677952 0.0038871246 0.004207991 0.0032221961 0.0031371473 0.0027273658 0.0032898488 0.004122942 0.0035720568 0.0040688203 0.0034077577 0.003144879 0.00309269 0.0037402217 0.0036416424 0.0032105986 0.0035565933 0.0035218005 0.004200259 0.0028414088 0.0032975806 0.0027969514 0.0033265746 0.0055475123 0.0036107155 0.003991503 0.0030018422 0.003086891 0.0030192384 0.004745346 0.003202867 0.0030211713 0.003032769 0.0036145812 0.0026577804 0.0026809755 0.0027911526 0.0040668873 0.0024470908 0.003314977 0.0028394759 0.0032202634 0.0036957643 0.0032376596 0.0031893365 0.00567122 0.0037498865 0.00350827 0.002640384 0.007294882 0.0034638126 0.0023059868 0.002075968 0.0036049166 0.0028278783 0.005363884 0.0029322566 0.00477434 0.003338172 0.0032105986 0.002750561 0.0043703574 0.0028568723 0.0027273658 0.0029071285 0.0040088994 0.0047878707 0.0030173056 0.0028723357 0.0051918533 0.0029689823 0.0041480702 0.003032769 0.0047066873 0.0032492573 0.0031390802 0.0033246416 0.009434637 0.0032705194 0.0031835376 0.003645508 0.005193786 0.004553986 0.0028800673 0.0027138353 0.0017241746 0.0034908736 0.0047608092 0.0034889407 0.0046448335 0.0051609264 0.00398957 0.0034773431 0.0048961146 0.0030984886 0.0035198675 0.0031932022 0.0046409676 0.004737614 0.0032511903 0.003968254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016692631 1.7438617e-05 2.7126736e-05 1.0656932e-05 1.7438617e-05 1.2594556e-05 4.4565353e-05 3.0033172e-05 2.906436e-06 2.2282677e-05 5.812872e-06 4.1658917e-05 1.2594556e-05 2.3251489e-05 3.6814858e-05 9.68812e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010608492 6.297278e-05 5.4253473e-05 6.1035156e-05 6.1035156e-05 5.812872e-05 5.9097532e-05 6.3941596e-05 5.9097532e-05 6.297278e-05 5.328466e-05 6.975447e-05 5.812872e-05 6.684803e-05 6.297278e-05 6.975447e-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 0.07957434 0.07431563 0.06265501 0.06839716 0.06451319 0.059961714 0.053131588 0.052330382 0.074042425 0.054976206 0.05525038 0.05453249 0.057422455 0.055476114 0.06472439 0.060760014 2000.0 5.603 11206.0 0.009102266 0.005889702 0.010530073 0.01151169 0.012404069 0.00981617 0.011243977 0.008031412 0.0134749245 0.01409959 0.0149027305 0.009102266 0.012225593 0.014813493 0.008834553 0.009102266 0.024986614 0.009102266 0.0075852224 0.019543102 0.008477601 0.015705872 0.012047118 0.009191505 0.006782081 0.014813493 0.009637694 0.010530073 0.0076744603 0.010083884 0.007852936 0.00981617 0.006068178 0.012136356 0.008834553 0.014635017 0.009459218 0.008031412 0.012047118 0.009369981 0.010708549 0.010351597 0.010976262 0.00856684 0.013742638 0.015616634 0.012047118 0.015438158 0.012939497 0.0076744603 0.009280742 0.015259682 0.008834553 0.009191505 0.010619311 0.011065501 0.010440836 0.009637694 0.0107977865 0.010976262 0.01151169 0.009905408 0.006782081 0.011065501 0.009905408 0.0114224525 0.005800464 0.009369981 0.0075852224 0.00856684 0.008299125 0.0081206495 0.010708549 0.011243977 0.012314831 0.0074067465 0.00856684 0.014813493 0.011779404 0.006871319 0.005889702 0.008209888 0.009637694 0.009102266 0.009013029 0.008209888 0.010530073 0.01026236 0.007049795 0.012136356 0.010351597 0.00892379 0.00856684 0.009637694 0.0073175086 0.009459218 6.532131 0.0 0.0 0.0 12.0 517349.0 7819264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1539487000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 3313664.0 4096.0 4096.0 7.0 4.0 0.0 3.0 4.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2641920.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9381213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59565.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1303093.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -481169.0 0.0 0.0 0.0 0.0 0.0 -2639637.0 0.0 0.0 -3312074.0 0.0 408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 77.0 6628524.0 400.0 6443140.0 408.0 7815168.0 0.0 0.0 0.0 0.0 240.0 7811072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 6459392.0 0.0 0.0 0.0 0.0