Input: 0.15450656 0.008648006 0.0050585954 0.0054365764 0.010492797 0.003774617 0.0034868645 0.0043875193 0.0074167107 0.0023735492 0.002720069 0.0026032762 0.0048978752 0.0029275357 0.002667683 0.0050565177 0.0051467465 0.0039240583 0.0031551851 0.0023584121 0.0032218178 0.0041929637 0.0023235376 0.0020535935 0.0030438832 0.0025856164 0.0024775793 0.0021936854 0.0036788974 0.002706416 0.0022940056 0.0025875457 0.0055063255 0.0021681602 0.0034068758 0.004148146 0.004847715 0.0037459754 0.0030377987 0.0020955913 0.0025734473 0.0019129079 0.0017983412 0.0026424546 0.0027347608 0.0021461966 0.0021641534 0.0018890151 0.0036585662 0.0028613482 0.0027503432 0.005300343 0.0035818422 0.0033285192 0.00314079 0.0034462023 0.0038534186 0.0043136147 0.0037953933 0.0050225332 0.0040874495 0.0042279866 0.0045382963 0.0045342892 0.0052632424 0.0039690244 0.004075429 0.0038087496 0.0042998134 0.007917124 0.0040642987 0.0047209794 0.005075513 0.0035763513 0.0032013382 0.0034126635 0.0043115374 0.0063968888 0.0044387183 0.0034024236 0.007875571 0.0044341176 0.0048941653 0.004824713 0.0036475845 0.0038721175 0.0042175986 0.003836946 0.0025468834 0.0026854912 0.0022944508 0.0024934583 0.0023397135 0.0036714773 0.0038927454 0.005181621 0.0029174443 0.0026133675 0.0032081648 0.0025804222 0.0028620902 0.0039429055 0.0028396815 0.0025701826 0.006025586 0.0022203978 0.0059317956 0.0018643803 0.0028574897 0.0019164695 0.0027976835 0.0026700574 0.0028888027 0.0018354418 0.0023696907 0.0023303642 0.005959398 0.00652496 0.0023649419 0.0022662543 0.002628653 0.0017526333 0.0024887095 0.0022876242 0.0023925446 0.0034163734 0.0025546001 0.0031146712 0.0033184278 0.0035480065 0.0023806726 0.006609401 0.0030587234 0.005224806 0.0024254902 0.0024434468 0.00294015 0.0066206795 0.0015641621 0.018960197 0.002233309 0.0074287313 0.002430239 0.0015248355 0.0026805939 0.0015920618 0.0019032618 0.0016037856 0.0018670516 0.0017299277 0.0013847435 0.0023944739 0.0036254725 0.002737432 0.0030593171 0.0031111096 0.006136739 0.0022282633 0.00285838 0.0020012073 0.0035794678 0.007270386 0.0012652795 0.0031483585 0.0020439473 0.0033503342 0.0019253737 0.0018746201 0.0020483993 0.0017783069 0.001628272 0.0018950996 0.0019212185 0.0016785804 0.0017929988 0.0017863206 0.0029135859 0.0023149303 0.001992897 0.0020565614 0.0025148285 0.0023229439 0.002457545 0.0024499765 0.002620194 0.0038578708 0.0016616625 0.0015218674 0.001723398 0.001616845 0.0020387531 0.0020550776 0.0062873675 0.002534566 0.0025970433 0.002517945 0.0024646684 0.0015635685 0.002595411 0.0029121018 0.0026066895 0.0022665511 0.0018640835 0.0020022462 0.006022469 0.0016843681 0.0028791565 0.0020721438 0.0026431966 0.0017597566 0.0020396437 0.0018290605 0.0017768228 0.0013044578 0.0014626548 0.0020583423 0.0023637547 0.0020259905 0.001327015 0.0018111038 0.0027243728 0.0023138914 0.0046745297 0.0015490251 0.0026875688 0.0014631 0.0014040358 0.0015166734 0.0022018475 0.0016399957 0.0011697083 0.0013277569 0.010310559 0.0026926144 0.001154868 0.0029615199 0.004194448 0.001485954 0.0014307483 0.0016453383 0.0037523566 0.0020550776 0.0013274602 0.001380885 0.0022692222 0.0013516498 0.0020982625 0.0020755571 0.0033648778 0.0024634812 0.0019427368 0.0021650437 0.0043182154 0.0025063695 0.0067486027 0.038334437 0.020384463 0.0019757615 0.0040752445 1.3359269e-06 2.2265446e-07 0.0 0.0 7.421816e-08 1.4843631e-07 9.64836e-07 0.0 7.421816e-08 7.792906e-06 0.0 3.7109078e-07 1.3359269e-06 0.0017548141 0.0006455495 0.00087636797 5.1210527e-06 1.6327995e-06 1.4843631e-06 1.1874905e-06 1.1874905e-06 1.7070176e-06 5.0468348e-06 1.3359269e-06 1.8554539e-06 2.174592e-05 4.9726164e-06 6.234325e-06 1.3730359e-05 0.0038496957 5.64058e-05 5.31402e-05 6.085889e-05 0.00013826843 2.7534936e-05 9.27727e-06 1.0835851e-05 6.6054155e-05 0.0005407535 2.6718537e-05 9.5741425e-06 4.430824e-05 7.941343e-06 8.46087e-06 0.00010613196 0.0035252883 0.00080712244 0.00019341252 6.449558e-05 0.00014620977 2.5605264e-05 1.4620977e-05 1.2691305e-05 0.000101307785 0.00035743465 2.1820138e-05 1.12811595e-05 0.00011429596 6.4569795e-06 7.1991612e-06 6.2714345e-05 0.0048878593 0.0008560322 0.00074218155 0.000754576 0.0010955342 0.0008788914 6.983928e-05 5.714798e-05 0.00063708867 0.008766723 0.0070326156 4.156217e-05 0.00033583716 4.156217e-05 8.6018845e-05 0.00031631778 0.006750735 0.0013950787 0.00070128735 0.008219587 0.020334587 0.005638724 3.7628604e-05 5.15074e-05 0.00013982701 0.00023245126 0.00023809184 0.00018881098 0.00034615348 0.00029947027 0.0003077827 0.00041391465 0.004427781 0.0007517557 0.00055151514 0.00038474693 0.00021679123 0.00021367407 5.031991e-05 5.714798e-05 0.00021063113 0.0002260685 0.00033769262 0.00039550854 0.000523238 0.00059537805 9.1065674e-05 0.00039061016 0.018374708 0.0009210473 0.001397899 0.00075353694 0.00070655684 0.0010378667 0.0023300047 0.0010136716 0.00042994577 0.000535484 0.00032655988 0.0004013718 0.00042452785 0.00043469574 0.00019860778 0.0018732663 0.01642767 0.0010326714 0.0011110458 0.0009796796 0.0012836772 0.0015522727 0.002071874 0.00072941603 0.0004991171 0.0004672033 0.000570515 0.0009168911 0.00040738346 0.0005752649 0.00033138407 0.0018996879 0.01103572 0.0012749195 0.001207381 0.0010918975 0.0017018965 0.0019501563 0.0029772613 0.002132733 0.0020913193 0.0029786716 0.0014563829 0.0013413448 0.0008028178 0.00082523166 0.0010109998 0.0018409814 0.012009017 0.001900059 0.0016548423 0.0015640734 0.002444672 0.002148096 0.0032189155 0.0026632443 0.0023869302 0.0029996752 0.0020202924 0.001578546 0.0010135974 0.0010235426 0.001061468 0.0025686903 0.019063972 0.005185177 0.004967347 0.017606772 0.00668431 0.005991409 0.006252286 0.0043796133 0.0038374497 0.0030558584 0.0038866564 0.0039471444 0.0030961588 0.0034785308 0.0025696552 0.0057088607 0.01795983 0.008650275 0.007866308 0.00829284 0.008216395 0.007501303 0.00725052 0.008386948 0.0067457627 0.0029117267 0.005181986 0.006453714 0.003107811 0.0039200545 0.0024479374 0.007129693 0.034846388 0.0056281113 0.0054920693 0.0054892492 0.008014225 0.011053087 0.006667982 0.0071121776 0.020903025 0.0036559121 0.0036199905 0.005107248 0.011884183 0.0065619242 0.009358168 0.02210892 0.036912773 0.0068589454 0.005997198 0.006675181 0.010465057 0.014142344 0.008522025 0.009684801 0.024298728 0.0038428677 0.004317938 0.0051203105 0.012037517 0.005501198 0.011027333 0.021858286 0.01409054 0.010014553 0.009939295 0.010510627 0.010497045 0.010560056 0.010352394 0.01089196 0.010378593 0.010345417 0.009956737 0.01061097 0.010712204 0.010389503 0.01078234 0.011878394 29198.0 30.583876 892988.0 0.01118716 0.004403195 0.012504088 0.012904989 0.010383118 0.017004708 0.013733667 0.005068377 0.0067918045 0.0060056797 0.005213956 0.005084055 0.007616004 0.006440176 0.006603672 0.0054547205 0.011151326 0.009322634 0.009237526 0.010899362 0.012752691 0.011901616 0.0123013975 0.013508581 0.013184948 0.012550001 0.01773484 0.015163697 0.015713537 0.015551161 0.02026119 0.01916599 0.018514246 0.017501915 0.017163724 0.018598234 0.017098773 0.014198399 0.016660918 0.016561253 0.017629577 0.016897203 0.013181588 0.014527631 0.017569104 0.01766541 0.018735973 0.013255497 0.01569338 0.013927399 0.0188222 0.01794425 0.011589182 0.0074334703 0.009593634 0.008099773 0.0066809407 0.0063561886 0.0073573217 0.0066215894 0.006231887 0.0071635903 0.0073270863 0.006750371 0.008493955 0.008752638 0.011715723 0.006705577 0.00689035 0.010406635 0.0063573085 0.0058511426 0.008508513 0.006741412 0.0071490323 0.0054558404 0.007929558 0.00579963 0.01016587 0.009022518 0.007224061 0.005745878 0.0074961814 0.005040381 0.009200571 0.006639507 0.005439043 0.0056103775 0.005861221 0.003677541 0.007931798 0.0056585306 0.0048141745 0.0043046493 0.0033460697 0.0059127333 6.442053 0.0 2.0 0.0 49.0 6738432.0 6922240.0 0.0 0.0 696.0 1.0 1.0 0.0 0.0 0.0 1516565100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 2068992.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -258048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 513024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2068992.0 0.0 3858432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4072776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0055685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.000277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.603567 0.0 7.406421 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -257800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -209212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2068954.0 0.0 3858332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 -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 0.0 1.0 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 -1.0 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 1.0 0.0 -2.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 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 2.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 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 0.0 2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 3.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -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 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 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 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 -1.0 1.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 2.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -2.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 2.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 2573716.0 3858332.0 2805760.0 0.0 0.0 0.0 0.0 180516.0 6664192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2430960.0 0.0 0.0 2868.0 2076672.0 0.0 0.0 0.0 0.0


Input: 0.061210766 0.0048229313 0.003603373 0.0034258238 0.0038071177 0.0038333135 0.0040108627 0.0030270661 0.004479476 0.0031958832 0.0034840365 0.0044241734 0.0032308109 0.0036208367 0.0029135512 0.0034549301 0.0040836283 0.0031056534 0.0036877815 0.0034054492 0.0030590831 0.0032570066 0.0031260278 0.0030881895 0.003003781 0.003067815 0.0045609735 0.0034694835 0.0031027426 0.0037256198 0.003303577 0.0042378926 0.003350147 0.0032075257 0.0030241555 0.0033414152 0.0028378745 0.0039293645 0.0029543 0.00390899 0.0039060796 0.00327156 0.0035393387 0.002936836 0.0030823683 0.003385075 0.0029659425 0.0029339255 0.0037197985 0.0029077297 0.003149313 0.0036703176 0.0035189642 0.0029251936 0.0038827944 0.003463662 0.0029572106 0.0040195943 0.0033647004 0.0035073217 0.003844956 0.0029775852 0.00327156 0.0028698915 0.0054545403 0.004948089 0.0038624199 0.0034258238 0.005303187 0.012550682 0.002800036 0.0040254155 0.0032511854 0.0043426757 0.0034520195 0.0033967174 0.0039875773 0.004945178 0.00490734 0.0046832203 0.0056320895 0.004208786 0.004013773 0.0040981816 0.0030503513 0.0041069137 0.0032395427 0.0029892277 0.0040283264 0.0029484788 0.00445328 0.004275731 0.0028640702 0.005026676 0.0035276962 0.0040050414 0.003213347 0.0035597133 0.0034694835 0.004380514 0.003521875 0.0042873733 0.0035655345 0.0038478666 0.0034229131 0.0037780113 0.0041593052 0.0033123088 0.0036557643 0.0035422493 0.0032249896 0.0037023346 0.003053262 0.0032511854 0.004007952 0.0030881895 0.0034229131 0.0029804958 0.0041971435 0.0038012965 0.0035335175 0.0037256198 0.002971764 0.0034578408 0.003350147 0.0034694835 0.0037430837 0.002800036 0.0050295866 0.004071986 0.0035597133 0.0039672027 0.0040050414 0.0036936027 0.0029892277 0.0034694835 0.0045609735 0.003946828 0.0035800878 0.0069738943 0.0033385046 0.00368196 0.0031464023 0.0033123088 0.0040283264 0.003617926 0.0039613815 0.004016684 0.0031289384 0.0034258238 0.003449109 0.0029164618 0.00422625 0.0037780113 0.0038100283 0.0042873733 0.004322301 0.0029426576 0.0036965134 0.0030765468 0.0034927686 0.0038595092 0.0028349638 0.0034258238 0.0038216708 0.003804207 0.0028436957 0.0033210407 0.002995049 0.0029659425 0.0033530577 0.0037227091 0.003553892 0.0032308109 0.0036732282 0.0027971254 0.0043746927 0.0031580448 0.00417968 0.0028436957 0.0033530577 0.0032104363 0.003844956 0.0034112707 0.0041272882 0.002971764 0.0034840365 0.0031114747 0.0031434917 0.0032890236 0.003990488 0.004616276 0.0030969214 0.0040283264 0.0033297727 0.0037372622 0.0034287344 0.003350147 0.010321131 0.0038216708 0.0030328874 0.003914811 0.0028698915 0.0038304029 0.006144362 0.0033559685 0.0037576368 0.003946828 0.0034374665 0.003190062 0.003149313 0.0028291424 0.002986317 0.003213347 0.0035509814 0.0038304029 0.003067815 0.0040923604 0.0038973475 0.0037751007 0.0035306069 0.0039293645 0.003085279 0.0029077297 0.0036383006 0.0028757127 0.0030154234 0.0030881895 0.0038595092 0.0037256198 0.0030911001 0.0031609556 0.0045376886 0.0034956792 0.0037256198 0.00431648 0.0041680373 0.0030096022 0.004377603 0.0033385046 0.0035306069 0.004939357 0.003099832 0.0032424533 0.0032773812 0.0033588791 0.003286113 0.0034054492 0.0039992197 0.0035073217 0.0034374665 0.0033326834 0.0045929905 0.0030794577 0.003268649 0.006205485 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 0.053817656 0.05226802 0.049752057 0.052079435 0.054332253 0.055392146 0.052651044 0.05187769 0.053016525 0.05562459 0.051538523 0.055010583 0.05254725 0.05196687 0.052436143 0.050000586 1553.0 7.553123 11730.0 0.008098892 0.006564365 0.0062233587 0.0057971017 0.005882353 0.0069906223 0.0056265984 0.018499574 0.019437341 0.0057971017 0.006052856 0.0051150895 0.0061381073 0.005541347 0.006734868 0.004518329 0.018670077 0.0056265984 0.0064791134 0.008780904 0.0054560956 0.005370844 0.01884058 0.006564365 0.0063086106 0.006734868 0.006734868 0.0061381073 0.004518329 0.0064791134 0.005541347 0.0051150895 0.006393862 0.033333335 0.0059676045 0.006564365 0.062574595 0.006905371 0.0063086106 0.03606138 0.0061381073 0.034356352 0.0057971017 0.005200341 0.0063086106 0.0080136405 0.04578005 0.0057971017 0.03537937 0.0069906223 0.0059676045 0.006905371 0.0059676045 0.0052855923 0.006393862 0.0071611255 0.033930093 0.0068201195 0.00571185 0.005541347 0.005200341 0.017988065 0.018755328 0.009462915 0.0059676045 0.009633418 0.0064791134 0.02054561 0.011167945 0.016794544 0.0070758737 0.009036658 0.0061381073 0.009633418 0.0068201195 0.00571185 0.009803922 0.009377664 0.010230179 0.009803922 0.0064791134 0.005200341 0.0097186705 0.009462915 0.012787724 0.0068201195 0.0054560956 0.005882353 0.0061381073 0.018584825 0.006052856 0.005370844 0.0054560956 0.01892583 0.0062233587 0.005882353 6.182498 0.0 0.0 0.0 9.0 343567.0 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: 0.14272012 0.0086475145 0.0041942066 0.0034306045 0.0062533165 0.0039562816 0.0020329508 0.0019644382 0.007898861 0.001513502 0.0017053367 0.0015085192 0.004582859 0.0013752314 0.0012332238 0.0038977347 0.0061760843 0.0015085192 0.001189625 0.0008981357 0.002476413 0.0019868605 0.0007698306 0.0008283776 0.0023132288 0.0007573738 0.0008333603 0.000713775 0.0016218761 0.00060664647 0.000596681 0.00056803034 0.003900226 0.00058920693 0.000655228 0.0005456081 0.0041755214 0.0013241585 0.00046713022 0.0005642933 0.001189625 0.0006564737 0.0005867156 0.0009479629 0.0011111471 0.0023543364 0.0006801416 0.0005206945 0.0054922057 0.002804027 0.003038215 0.010253197 0.0032038905 0.0020217397 0.002531223 0.0017015997 0.0036797405 0.002079041 0.0007187577 0.0014910797 0.0016766861 0.0009815963 0.00046837592 0.0005319056 0.011845177 0.0039525446 0.0049316497 0.008881703 0.0038927519 0.0327614 0.0032885969 0.002725549 0.003404445 0.0035701205 0.0022023632 0.0023692844 0.002726795 0.004414692 0.0011672027 0.001540907 0.009115891 0.0021575189 0.0020690756 0.009817209 0.0032250672 0.013924218 0.0032425066 0.0021089374 0.001938279 0.006554771 0.0027591826 0.0032798771 0.0015757859 0.0046663196 0.0023929523 0.0036274218 0.0058011347 0.0044557997 0.0017140565 0.00327614 0.009279075 0.0061810673 0.0039687385 0.0015919798 0.007820383 0.004262719 0.0037034084 0.0013752314 0.00348666 0.0017651294 0.004396007 0.004105763 0.0030743398 0.0017177935 0.004940369 0.0038939975 0.01024946 0.005620511 0.0018012541 0.0011111471 0.0028413974 0.00127184 0.00053439697 0.0005941896 0.0016642293 0.00253496 0.0010700396 0.00088069617 0.0052791946 0.0011659571 0.0010961989 0.009124611 0.003142852 0.003248735 0.001041389 0.0006228403 0.0026807047 0.015291975 0.0022484534 0.052079413 0.0012045732 0.011075346 0.00086325663 0.0006851243 0.0026744762 0.00044719933 0.0007324602 0.0006502453 0.001131078 0.00094298023 0.0015222217 0.0005717674 0.0011821509 0.000592944 0.00050325494 0.00071751204 0.0009629111 0.00047958703 0.00046837592 0.00042228572 0.00090311846 0.0033521266 0.0004696216 0.0025685935 0.0014337783 0.00082339486 0.00056803034 0.0004559191 0.0010538457 0.00046090182 0.0005132204 0.00049079815 0.0008532912 0.00045342773 0.00074740837 0.0006627021 0.0013341239 0.00069010706 0.0017427072 0.00054062536 0.0008844332 0.00067515887 0.00071751204 0.0015907341 0.0031727485 0.0025523996 0.004683759 0.00082962326 0.0010077556 0.00048332408 0.00085951964 0.0007200034 0.012081856 0.0011572373 0.0023032634 0.01042261 0.0043885326 0.0010663026 0.0035825775 0.0033919883 0.001883469 0.0017775862 0.000990316 0.0013117017 0.0016941256 0.0008993814 0.0009990359 0.0009492086 0.0028949617 0.001158483 0.002995862 0.0013627745 0.0018261678 0.00077356765 0.0016156477 0.0008819419 0.0033919883 0.00065896503 0.0010937075 0.0018000085 0.0015072735 0.00072374044 0.0005667847 0.0008483085 0.002456482 0.0006627021 0.0008844332 0.0009977901 0.0024502538 0.0024490082 0.00055432785 0.0006988268 0.027806083 0.006068956 0.0011011816 0.0059418967 0.006579685 0.0010501087 0.0006851243 0.00075986516 0.0072947056 0.0009840877 0.0018299049 0.0009255407 0.0092030885 0.0021861694 0.0041256943 0.0026121922 0.01013984 0.0030755855 0.0030955162 0.003638633 0.014995503 0.004024794 0.004332477 0.06942801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001789532 0.0 0.0 0.00052137446 0.00024663823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010242043 0.0 0.0 0.0044650887 0.003195682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000628147 0.0 0.0 0.00037401594 0.00027660947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005550921 3.7464035e-06 1.8107618e-05 6.743526e-05 0.00014985613 7.617687e-05 6.244006e-06 7.492807e-06 1.5610014e-05 0.0 0.0 1.8732018e-06 8.1172075e-06 3.122003e-06 4.9952046e-06 0.00036090353 0.006138482 0.000207301 0.00021479379 0.0005544677 0.0019237782 0.0004914033 0.0024638847 0.0010720958 0.00019606178 0.000101152895 9.3035684e-05 7.555247e-05 0.0006762258 0.00038275754 0.00040336276 0.0029084578 0.013413997 0.0006456302 0.00095221086 0.0020954884 0.004157259 0.003633387 0.007013892 0.003231273 0.00045706122 0.00023727222 0.00031282468 0.0003328055 0.002096737 0.0011120575 0.0011295406 0.009050686 0.020913048 0.0013118656 0.0012419327 0.0020923663 0.007366678 0.0025787745 0.006737282 0.0032787274 0.002408313 0.0009815576 0.0009834309 0.0013449588 0.004086077 0.0026680636 0.0026924154 0.0096469885 0.0203642 0.0015728651 0.0012600403 0.002283433 0.009493386 0.0040723407 0.00592681 0.0034317055 0.0058525065 0.0014236333 0.0017914053 0.0023215213 0.0038900157 0.0017851612 0.0040735896 0.009741274 0.074571535 0.009891129 0.007335458 0.010157124 0.042379316 0.03083415 0.021465018 0.014057755 0.051862713 0.005331132 0.006101018 0.009211781 0.016914386 0.0071269083 0.027648458 0.061531555 0.06071359 0.010206452 0.00918743 0.01175996 0.0283328 0.030837895 0.017804783 0.014720868 0.050197434 0.0059299325 0.0065318546 0.009219899 0.021258967 0.01102067 0.025273237 0.04889681 0.00023539901 4.8078844e-05 8.679168e-05 5.244965e-05 9.116248e-05 9.990409e-05 4.370804e-05 6.618646e-05 0.00013549492 2.9346827e-05 3.371763e-05 2.9346827e-05 8.491848e-05 6.0566857e-05 7.3679264e-05 0.0001080213 5347.0 15.46699 82702.0 0.0056588715 0.00013300766 0.0005803971 9.6732845e-05 0.0034823825 0.0005924887 0.00013300766 0.0001813741 0.0004111146 0.00042320622 0.00076177117 0.0006045803 0.00051993906 0.014812217 0.0011728858 0.00048366425 0.023760006 0.018246233 0.02454596 0.013349133 0.020386448 0.015380523 0.020531546 0.012139972 0.023481898 0.015404706 0.00085850403 0.00053203065 0.0009915117 0.0005562139 0.00012091606 0.00014509927 0.0014147179 0.008863147 0.0076902616 0.015078233 0.0074121547 0.016758965 0.004909192 0.003192184 0.0051147495 0.018282508 0.0025513289 0.0041474206 0.007085681 0.0069284905 0.0046069017 0.009576552 0.013409591 0.0027206114 0.0062150853 0.021269135 0.013578873 0.006505284 0.0061304444 0.0036274819 0.002889894 0.0055621387 0.0015840004 0.0031075426 0.0012091605 0.0029019855 0.0030229015 0.023058692 0.00026601533 0.03184929 0.0128171025 0.027617227 0.026359702 0.054678243 0.011656309 0.01068898 0.018367149 0.035742786 0.0073516965 0.006722933 0.024219487 0.012236705 0.038354576 0.03554932 0.018089043 0.002732703 0.039890207 0.029491426 0.042405263 0.011535392 0.010846171 0.0058281543 0.014014171 0.006940582 0.0010882445 0.00030229014 0.0005683055 0.00026601533 0.00031438176 0.00032647335 5.778563 0.0 2.0 14.0 4.0 802774.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5761642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.005257923 0.0039090724 0.0038730865 0.0039417157 0.0039760303 0.00389704 0.003914197 0.0039256723 0.0038721953 0.0038651763 0.0039022763 0.0038925835 0.0039021648 0.0039158682 0.003879771 0.0038996025 0.003955419 0.0038695214 0.0038798826 0.0038601628 0.0039056186 0.0038736437 0.0038621684 0.0038557064 0.0039375937 0.0039294604 0.0038822223 0.0038678502 0.003918765 0.0039126375 0.0038772088 0.0038710812 0.003967563 0.0038942546 0.00387732 0.0038885726 0.0039057299 0.00390651 0.0038553723 0.0038893525 0.003878657 0.0038869015 0.0038822223 0.0039156456 0.0038608313 0.003907401 0.0038846734 0.0038944774 0.0039160913 0.0038916923 0.0038651763 0.0039246697 0.0038635053 0.003933917 0.0038963715 0.0039061755 0.0039056186 0.0038473506 0.0038759832 0.0039048386 0.003869967 0.0038700784 0.0038746463 0.0038763175 0.0040416513 0.003891915 0.0038765403 0.0038901325 0.003944724 0.0039563105 0.0039010507 0.0038831136 0.0039033904 0.0038910238 0.0038959258 0.0038916923 0.0038530326 0.0038802167 0.0038466821 0.0038809967 0.003928235 0.0039052842 0.003914977 0.0039283466 0.003883002 0.003879437 0.0038928064 0.003908515 0.0038958143 0.003886233 0.0038910238 0.003898154 0.0038729752 0.0038791026 0.003909518 0.003917985 0.0038841162 0.003959541 0.0038824452 0.003902722 0.00390651 0.003948066 0.003932914 0.0039031676 0.003921439 0.0039145313 0.003879994 0.003866402 0.003932023 0.003934697 0.003901385 0.0038918036 0.0039593186 0.0038660676 0.003942607 0.003915534 0.0040021003 0.0039491802 0.003879437 0.003891135 0.003880551 0.003877543 0.0039050614 0.0038770973 0.0039283466 0.003891358 0.0038793255 0.0038920264 0.003929349 0.0038967056 0.0038648422 0.0039541936 0.003932803 0.0039011622 0.003862614 0.0038944774 0.0038714155 0.003948846 0.0039190995 0.0041024815 0.0038707468 0.0039359224 0.0038749806 0.0038940317 0.0039321342 0.0039058414 0.003901719 0.003911412 0.003921216 0.0038828908 0.0039294604 0.0038836705 0.003890801 0.0039254497 0.003889241 0.00390651 0.0038909123 0.0038602743 0.0038865672 0.003878323 0.0039057299 0.0038763175 0.0038891297 0.0038778773 0.003881888 0.003883225 0.0039029447 0.0039031676 0.0038596059 0.0038490219 0.003901385 0.0038812195 0.003883782 0.0039052842 0.0038823336 0.0038965943 0.0038590487 0.0038979312 0.0038791026 0.003912192 0.0038912466 0.0038812195 0.0038711927 0.0038999366 0.0038977084 0.0038792142 0.0039137513 0.003909518 0.0039075124 0.003911969 0.0038617228 0.0038700784 0.0040086736 0.0038695214 0.003911969 0.003965112 0.0039026104 0.0038793255 0.0039076237 0.0039018306 0.0039101862 0.0038871244 0.003888684 0.0038801054 0.0039067324 0.0038848962 0.003914977 0.0039026104 0.0039199907 0.0039039473 0.0038785457 0.0038959258 0.0039296835 0.003888684 0.0038662904 0.0038628369 0.0039046158 0.0038779886 0.0038858987 0.003886456 0.0038659563 0.0038736437 0.0038817767 0.0038873472 0.0038974856 0.0038942546 0.0038686302 0.0039058414 0.003908181 0.0038598287 0.003866959 0.0038860103 0.004011236 0.0038838934 0.0038785457 0.003899268 0.0039313543 0.003910298 0.0039226646 0.0038740893 0.0038865672 0.003903056 0.0038532554 0.0039010507 0.0039254497 0.003900048 0.0038801054 0.003911635 0.003917874 0.00393414 0.0039160913 0.0039069555 0.0039107436 0.003909295 0.003914197 0.0043070316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00020792625 3.231437e-06 1.0641455e-05 4.178582e-06 1.5210039e-05 2.8414358e-06 5.3931566e-05 2.6631496e-05 5.6828717e-06 3.6214378e-06 7.80002e-07 5.0142984e-07 2.0614339e-06 8.3571643e-07 7.242876e-07 3.510009e-06 0.00015432897 1.4485752e-06 2.6854354e-05 3.90001e-06 1.8831477e-05 9.527167e-06 8.0618775e-05 4.239868e-05 5.571443e-07 2.2285771e-07 2.7857214e-07 3.3428657e-07 3.3428657e-07 2.7857214e-07 1.7828617e-06 6.128587e-07 0.00014318609 1.4485752e-06 3.660438e-05 1.0028597e-05 1.0641455e-05 7.3543047e-06 6.8083034e-05 3.409723e-05 6.6857314e-07 8.9143083e-07 3.3428657e-07 1.2257174e-06 2.0614339e-06 3.3428657e-07 1.5042896e-05 1.0307169e-05 0.00018140618 4.958584e-06 1.2981462e-05 1.1310029e-05 1.7160044e-05 6.6857315e-06 1.7940047e-05 1.0362884e-05 1.3817178e-05 8.357164e-06 2.8971504e-06 2.1171484e-06 1.3037176e-05 3.5657233e-06 1.4820038e-05 2.089291e-05 0.00021115769 3.90001e-06 3.9167244e-05 2.3232917e-05 3.5768662e-05 1.8162904e-05 0.00011427029 6.8584464e-05 2.0781481e-05 2.128291e-05 4.0671534e-06 8.858594e-06 2.6687212e-05 5.738586e-06 2.3567203e-05 5.939158e-05 1.2034317e-05 2.0614339e-06 2.050291e-05 1.3928607e-05 3.510009e-06 2.9528646e-06 2.8358643e-05 1.7048615e-05 2.2842917e-06 1.8942906e-06 1.6714329e-06 1.3928607e-06 1.3928607e-06 2.0614339e-06 1.7271473e-06 1.2814319e-06 0.00016859185 1.7327187e-05 2.3121487e-05 2.1617197e-05 6.535302e-05 5.4432996e-05 2.7857213e-05 3.8164384e-05 0.00010474313 8.635737e-06 8.190021e-06 1.5878612e-05 5.3151565e-05 3.1032938e-05 4.6744404e-05 0.00011388029 0.00065057736 9.014594e-05 0.00013115177 0.000121736026 0.00025311066 0.00024419633 0.00016513756 0.00019137906 0.00040827534 4.5685832e-05 5.2148705e-05 7.610591e-05 0.00022079628 0.00013917465 0.00021411055 0.0004193625 0.06205111 0.06213702 0.061995897 0.062016733 0.06201027 0.06204749 0.06200832 0.062111 0.06209908 0.062308732 0.062112395 0.06214075 0.062206775 0.062030382 0.062083926 0.062250342 41538.0 5.729549 237994.0 0.012651579 0.010059077 0.010264965 0.010033866 0.009748145 0.010004454 0.010349001 0.009823777 0.009752347 0.010340597 0.0105590895 0.010155718 0.010269167 0.010437238 0.010550686 0.010235552 0.010403624 0.01027757 0.009916216 0.01037001 0.0100926915 0.010290176 0.010243956 0.010138911 0.010382615 0.009903611 0.010349001 0.010172525 0.010479256 0.010332193 0.010231351 0.010197736 0.010315386 0.01063052 0.010176728 0.010243956 0.010294377 0.010311184 0.010193534 0.010059077 0.010210342 0.010332193 0.010319588 0.010164122 0.010294377 0.0101473145 0.009975041 0.010189332 0.010483458 0.010542283 0.010260763 0.010311184 0.010256561 0.01004227 0.00999605 0.010151517 0.01063052 0.010399422 0.0100926915 0.010365807 0.009802768 0.010454045 0.010479256 0.010651529 0.010294377 0.011361631 0.010269167 0.010954058 0.010979269 0.012811247 0.010727162 0.010357404 0.010756574 0.011012883 0.010017059 0.009912015 0.011365833 0.010781785 0.0110843135 0.011445667 0.011033892 0.010143112 0.011235577 0.0116599575 0.011907863 0.010727162 0.010084288 0.010349001 0.009958235 0.010088489 0.010361605 0.009983445 0.010285974 0.0100926915 0.010021261 0.010143112 6.583197 3.0 2.0 0.0 141.0 8975787.0 86016.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41472.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.102853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647854 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 4.5873303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41424.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428.0 57344.0 11264.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.22187242 0.0077641783 0.006084442 0.00477572 0.006568795 0.0029739272 0.0033720655 0.0040511284 0.00888594 0.0021747448 0.0020313764 0.00225321 0.0041421866 0.002147621 0.0036452406 0.004789282 0.012176634 0.002394641 0.003824451 0.0026348801 0.003647178 0.0042991173 0.0042545567 0.002296802 0.0020962798 0.0035522447 0.0020827178 0.002655223 0.0029458348 0.0041005323 0.0023742984 0.003129889 0.010139445 0.0027830922 0.0026164749 0.0035454638 0.0034640925 0.0024944178 0.0029003057 0.00244792 0.0024702002 0.0021272784 0.0031754181 0.00310664 0.0011256363 0.00072749815 0.0031405448 0.0018105115 0.0015179622 0.0027317507 0.0006645323 0.0035212461 0.0009842053 0.0012031328 0.000797245 0.00062675274 0.001324221 0.001726234 0.0007139363 0.0026009756 0.0009890487 0.0014104359 0.0010297344 0.00060447253 0.006627886 0.0015315241 0.0016303321 0.0014753392 0.0016051457 0.0069979317 0.0023646113 0.0019558172 0.0013881556 0.0007827144 0.0006374085 0.00045916662 0.0008359932 0.0027249698 0.001307753 0.0007836831 0.006252028 0.002085624 0.0011207928 0.0029070866 0.00083986804 0.0029807081 0.0035125278 0.003126014 0.00058219227 0.000994861 0.00052503863 0.0010481399 0.0006054412 0.0021418089 0.0022222116 0.0014617773 0.0006994057 0.0027201264 0.0007197485 0.0019538798 0.0020255642 0.0057570194 0.0027530624 0.0015373364 0.004489952 0.0029468036 0.003718862 0.0013581257 0.0025380095 0.0012031328 0.0033953143 0.0032732575 0.0022609597 0.0007555906 0.002760812 0.0025380095 0.008160379 0.0069853384 0.0015770533 0.0022522414 0.0010888255 0.0011973205 0.0005744426 0.00046207273 0.0011711655 0.0014375596 0.0011333859 0.0008292123 0.0034379375 0.0011924771 0.0007333104 0.004009474 0.0015179622 0.0054770634 0.0005909106 0.0005221325 0.0015654288 0.0043262406 0.00054344407 0.017365023 0.0011091683 0.005116705 0.00033710967 0.0006122222 0.0006364398 0.0002906118 0.00021795883 0.0002586445 0.000675188 0.00045916662 0.00038457627 0.00028479955 0.00051147677 0.00097161205 0.00044947956 0.0003719831 0.0012593177 0.00046788497 0.00034873415 0.0003564838 0.0006703445 0.00083889934 0.00035164025 0.00041073133 0.0005095393 0.00065678265 0.00040007557 0.00037682662 0.0006538765 0.00031482943 0.00039813816 0.00045819793 0.0005211638 0.0006122222 0.00031773554 0.00030320496 0.00072265463 0.00032936002 0.00046401014 0.00043301156 0.0008834598 0.0011246676 0.00052794477 0.0005802549 0.0017543265 0.00044657345 0.00039620075 0.0006703445 0.000681969 0.0006064099 0.00061125343 0.00067712547 0.0055661844 0.0011847274 0.0025351036 0.0015334615 0.0007788396 0.0003884511 0.0015906151 0.0018986637 0.0009890487 0.0017310776 0.0003729518 0.0007614029 0.015132155 0.0007933702 0.0034224382 0.0008088695 0.0010403902 0.0006354711 0.0006529078 0.0006035038 0.00085924217 0.00048047816 0.0015770533 0.0009367387 0.0012128198 0.0004252619 0.00047950944 0.0008679605 0.00064612686 0.0007178111 0.0006509704 0.0004397925 0.0011207928 0.00042913674 0.0003564838 0.00050275837 0.0010103603 0.0006345024 0.00057831744 0.000813713 0.0067354124 0.0012544742 0.0004901652 0.002276459 0.003584212 0.00034389063 0.0004078252 0.00076915254 0.0019616296 0.0019916594 0.0004911339 0.00079046405 0.0012505994 0.00049210264 0.001653581 0.001281598 0.002909024 0.0010403902 0.0009987359 0.0012544742 0.003954258 0.0019877846 0.0035871181 0.26792276 0.0059902943 0.0 1.9395482e-06 7.2733055e-06 1.9395482e-06 9.697741e-07 0.0 4.3639834e-06 8.24308e-06 6.3035313e-06 4.8488705e-06 2.4244353e-06 5.3337576e-06 2.9093223e-06 1.1637289e-05 0.018777736 0.015446077 0.00027881004 5.2852687e-05 0.00012655552 1.5516385e-05 1.4546611e-05 0.00015807318 4.2185173e-05 8.97041e-05 1.8910594e-05 1.6001273e-05 6.8369074e-05 0.00011103913 4.7034042e-05 4.5094494e-05 0.012267642 0.0051577436 0.000105705374 0.00016728602 0.00013528348 6.6914414e-05 4.1215397e-05 6.2550425e-05 4.267006e-05 0.00011152402 5.042825e-05 5.8186444e-05 5.7216672e-05 0.00020898631 0.00016971046 0.00013382883 0.01627087 0.0030688501 0.00017504422 0.000117342664 0.00017116513 0.00018862105 0.0001236462 0.00013916258 8.243079e-05 0.00012607063 0.00010231117 0.00012558575 0.00012849507 0.00030547884 0.00022644225 0.00026280878 0.023454957 0.0077101886 0.0016107948 0.00072393636 0.0002395342 0.00019201527 9.3098315e-05 0.00027590073 0.00028171937 0.00029772063 0.00018910595 0.00019928858 0.00018668151 0.0006744779 0.00043542855 0.00041651796 0.025202489 0.032440882 0.011167433 0.008847734 0.0003709386 0.00040245624 0.0002691123 0.0005062221 0.0003665746 0.0003588164 0.00024777727 0.00031517658 0.00038403054 0.00074236206 0.00057847024 0.0004819777 0.024943074 0.03854949 0.01339452 0.010968145 0.0013067706 0.0008965561 0.0007200572 0.0013591384 0.0009620159 0.0008635838 0.0006919338 0.0006162914 0.0008204289 0.0014110213 0.0010391129 0.001232098 0.051286016 0.0539335 0.010358157 0.011654745 0.0019763997 0.002042829 0.0009925638 0.011109247 0.0059447153 0.0019332446 0.00105172 0.0007030862 0.0011680928 0.0023061228 0.001279132 0.0011748814 0.03636362 0.033193428 0.0028913815 0.0060029016 0.0029093223 0.002137382 0.0014144155 0.007463381 0.0042864014 0.002219328 0.0010061406 0.0007821228 0.0012611912 0.0018833013 0.0009857754 0.0007966694 0.029078675 0.008819611 0.0009688043 0.0013528349 0.0019448819 0.0016733452 0.0007404225 0.003944071 0.0021058645 0.0006390811 0.00041457842 0.00023517021 0.00023904932 0.00041651796 0.00025262614 0.0002729914 0.003785513 0.0048828125 0.00033166274 0.00036318038 0.00032341966 0.00036124085 0.00012122176 0.00044027742 0.00055083167 0.00046888576 8.921922e-05 9.018899e-05 0.00023468533 0.0002691123 0.00046064268 6.158066e-05 0.00088152464 0.0061934623 0.00054161885 0.00069775246 0.00058283424 0.0013271358 0.000605139 0.0021984777 0.0011583951 0.0003258441 0.00032051033 0.00025941458 0.00029432643 0.00029335666 0.00023759465 0.00023662488 0.0016093401 0.009947943 0.0014662984 0.0010492955 0.0010459013 0.002146595 0.0008354604 0.0016941953 0.0011069971 0.0008820095 0.0005639236 0.00052610243 0.0007743646 0.0009605612 0.0006870849 0.0006778721 0.0014546611 0.038207643 0.008381273 0.0036604123 0.0067292624 0.012296735 0.016234988 0.0067961765 0.010475014 0.02487422 0.0019283957 0.0021621112 0.0032002544 0.018798586 0.0032468035 0.009303043 0.031321764 0.02354563 0.0068398165 0.0024176468 0.004554059 0.009334075 0.010207357 0.0049201488 0.007792135 0.015309338 0.0012519783 0.0017063175 0.0020961666 0.01114125 0.002587842 0.0062181912 0.017188275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3837.0 12.574407 48248.0 0.057577517 0.023006136 0.027109932 0.03546261 0.028892389 0.024975128 0.030115237 0.025783451 0.017161334 0.022964682 0.05220942 0.033389986 0.003336926 0.005451003 0.028519318 0.016663903 0.005533908 0.044602886 0.0037099984 0.006611673 0.0026529597 0.0026529597 0.0046426794 0.0031918422 0.007958879 0.004062345 0.0051608356 0.014839994 0.0053888243 0.007502902 0.012269938 0.0013886587 0.005409551 0.0073992703 0.010114409 0.0083941305 0.006777483 0.0050572045 0.0049950257 0.022715967 0.0043732384 0.0050986568 0.0021969823 0.0014508374 0.003917261 0.004829216 0.004062345 0.0027151385 0.0064873155 0.0020726249 0.0051193833 0.009699884 0.0037307246 0.002010446 0.0059069805 0.009036644 0.0011192174 0.0008290499 0.004041618 0.0015130161 0.0030674846 0.0018653623 0.0013886587 0.0032332947 0.0009119549 0.014653457 0.0030467585 0.009306085 0.009575526 0.03560769 0.0038965347 0.005015752 0.007419997 0.014881446 0.0029638535 0.0145291 0.014093849 0.0064044106 0.015897032 0.01718206 0.006839662 0.00070469244 0.016498093 0.012788095 0.026280882 0.007689438 0.0044146907 0.007979605 0.0030467585 0.0036270933 0.0010777649 0.0010570387 0.002010446 0.0012850274 0.0030467585 0.00084977614 5.9004536 0.0 0.0 7.0 2.0 1032305.0 1036288.0 1.0 0.0 446.0 0.0 1.0 0.0 0.0 0.0 1091599200.0 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 -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 1.0 7.0 10.0 5.0 1.0 4.0 0.0 348160.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -348160.0 0.0 675840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6686847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4774327 0.0 4.232521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345516.0 0.0 672040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 0.0 1.0 -2.0 -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 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -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 -2.0 -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 -1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 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 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 1.0 0.0 2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 3.0 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 2.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 -1.0 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 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 -1.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 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 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 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 1.0 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 -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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 339652.0 672040.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 5984.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 28408.0 360.0 584.0 1876.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0058186613 0.0037812204 0.0037779815 0.0038900562 0.003772957 0.0038198796 0.00378666 0.0039633885 0.0038106614 0.0037513643 0.0037695104 0.0039177113 0.0038590787 0.0038827478 0.0038961186 0.004191856 0.0038231185 0.003783878 0.0037692613 0.003826316 0.0038546773 0.0038715778 0.0039093234 0.0039090742 0.0038052215 0.0038096646 0.003860906 0.0039063753 0.0039155106 0.003922528 0.0039790845 0.0040512956 0.003811201 0.003801858 0.0037788951 0.0038651829 0.0038726574 0.0038037682 0.0037859126 0.0038616117 0.0038060106 0.003810163 0.0037812619 0.0038498188 0.0038635219 0.0039132684 0.003907704 0.0039298367 0.003800197 0.0038332506 0.00377794 0.0039400514 0.003833998 0.0038802563 0.0038622348 0.003909656 0.0038712039 0.0038790107 0.0038636464 0.0039489376 0.003953381 0.003928923 0.00399013 0.0040546176 0.0037353775 0.0038670516 0.0038462062 0.0039699078 0.0038802978 0.0039514294 0.0038514799 0.0039553326 0.003794342 0.0037815527 0.0038483655 0.003887191 0.0038005293 0.0038783462 0.0038660134 0.0039301687 0.0039228187 0.003850608 0.0038336657 0.003868505 0.0038481164 0.003870581 0.003898195 0.0039123963 0.0038826647 0.0039059184 0.0038968245 0.0038770174 0.003914348 0.003908742 0.003949353 0.003997397 0.0038218729 0.0038879383 0.0038377352 0.003909448 0.003822122 0.0038993575 0.0039228187 0.0038791352 0.0038997312 0.0038837444 0.00390787 0.0038826647 0.0039157597 0.003897572 0.0039253933 0.003956952 0.003909863 0.003894956 0.0039217807 0.003963762 0.004046396 0.0040320284 0.0038869833 0.0039542946 0.00391331 0.0039652986 0.0039004372 0.0039321617 0.003952094 0.0040226853 0.004011017 0.0040488043 0.0037047323 0.003851729 0.003809125 0.0040755044 0.0038199213 0.003988718 0.0038542205 0.0039888015 0.003838192 0.003938806 0.0038268142 0.0042479555 0.003807547 0.0040143803 0.0038990255 0.004024097 0.0037551846 0.0038790936 0.0038040173 0.0038488638 0.0038487806 0.0038486978 0.0038452097 0.0038950806 0.0038322124 0.003842469 0.0038352853 0.0038745676 0.0038675084 0.003846123 0.0039146803 0.003975846 0.0037967921 0.0038914678 0.0038348285 0.0038820833 0.0037793103 0.0038827893 0.0038211255 0.003881336 0.003865515 0.0038412649 0.0038462477 0.0038760623 0.0038646846 0.003854345 0.003856089 0.0038962017 0.003883246 0.0039071226 0.0038427182 0.0038566703 0.0038741108 0.0038991915 0.0038964923 0.0038820005 0.0038982364 0.003886402 0.0038695014 0.0038763946 0.003915926 0.0039126454 0.0039206594 0.003959983 0.003908908 0.003951388 0.0038786368 0.0039990996 0.0038459986 0.0039015168 0.0038884783 0.004011972 0.0038728649 0.003904382 0.0038790107 0.0039176284 0.0038956618 0.0038810037 0.0038896408 0.0039718593 0.0039207013 0.003914971 0.0038693768 0.0038843257 0.0038648506 0.0039019736 0.0038540543 0.0038921323 0.0039190818 0.0038907204 0.003867882 0.003885779 0.0039047142 0.003875315 0.003916009 0.0039759288 0.0038991084 0.0039716517 0.0039045482 0.003947443 0.0039032195 0.0039223623 0.0039109015 0.0039468203 0.0041139564 0.003917919 0.0039101955 0.003946986 0.003945367 0.0038639372 0.003925144 0.0039785034 0.004016374 0.0039679147 0.0039781295 0.0039635543 0.0039847735 0.0039211162 0.0039509726 0.004005951 0.0040459805 0.0040044147 0.0040044975 0.0039587375 0.0040662447 0.00398494 0.004096599 0.0045067365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.384865e-05 1.474229e-06 1.764922e-06 6.436774e-07 4.5887973e-06 1.37041e-06 2.076379e-06 1.4949927e-06 1.7026307e-06 8.720791e-07 6.85205e-07 2.2424892e-06 3.7374818e-07 4.983309e-07 5.813861e-07 8.305515e-07 0.00012863167 2.553946e-06 8.596208e-06 3.9866472e-06 1.123321e-05 4.3396317e-06 2.5352585e-05 1.3953266e-05 1.1420084e-06 1.0589532e-06 5.606223e-07 4.983309e-07 8.305515e-07 7.267326e-07 2.9276941e-06 6.2291365e-06 0.00035387726 1.12747375e-05 2.7574311e-05 9.302177e-06 3.0605825e-05 2.0348512e-05 8.783083e-05 4.7341437e-05 6.7274673e-06 4.5057423e-06 2.6785287e-06 3.9866472e-06 3.1976235e-06 2.948458e-06 6.7067035e-06 1.8957338e-05 0.00029918543 2.0535386e-05 3.162325e-05 2.9671453e-05 5.568848e-05 2.4085995e-05 0.000113411814 7.2984716e-05 8.1394055e-06 2.3670718e-06 2.8654028e-06 3.2599148e-06 4.1942853e-06 2.7823476e-06 2.4708909e-06 7.1219793e-06 0.00018569056 7.703366e-06 1.51990935e-05 1.2686674e-05 3.24538e-05 1.7337763e-05 6.465844e-05 4.3126387e-05 8.450862e-06 4.1735216e-06 2.6992925e-06 4.1942853e-06 4.796435e-06 3.6544268e-06 4.609561e-06 1.38079195e-05 0.00015917521 2.2653294e-05 1.9517962e-05 0.00014127682 2.1137537e-05 3.48624e-05 3.874523e-05 2.938076e-05 2.3047805e-05 1.3413407e-05 1.1316265e-05 1.2084525e-05 1.4970691e-05 1.5116038e-05 1.30188955e-05 2.5622516e-05 0.00013465316 1.3911738e-05 3.683496e-05 3.9658837e-05 4.01364e-05 1.5531314e-05 6.0194223e-05 2.9090068e-05 4.576339e-05 1.0485714e-05 1.123321e-05 1.3454935e-05 3.195547e-05 1.5593605e-05 2.6453066e-05 7.0389244e-05 0.0011196458 0.0001829705 0.00018139246 0.00017161272 0.00028128704 0.0002638247 0.00016656712 0.00024549026 0.0006572362 7.765657e-05 5.7515696e-05 0.00010180486 0.00027748727 9.048859e-05 0.00025016212 0.0004249517 0.00085197977 0.00021966011 0.00020157486 0.00015990193 0.00031046016 0.0003157757 0.00014698686 0.00022856778 0.0005219601 8.909742e-05 6.1793035e-05 0.000102261656 0.00025207238 0.00012335766 0.00023971793 0.00042725648 0.060370363 0.061514508 0.060918275 0.061760373 0.06105563 0.06164212 0.061546464 0.062645905 0.061415073 0.061512537 0.061521422 0.062040433 0.062010784 0.062084995 0.06246385 0.0634629 113788.0 5.8228374 662569.0 0.010020088 0.0098057715 0.009804262 0.010011033 0.010195165 0.0100653665 0.009820864 0.009944624 0.009845013 0.010178562 0.009923494 0.009923494 0.0101468675 0.010549844 0.0106238 0.01022535 0.010122719 0.010291758 0.010048765 0.01026761 0.0103808055 0.010619272 0.010318926 0.010174035 0.01045476 0.010379297 0.010086496 0.010504566 0.010330999 0.010281193 0.010389862 0.0101846 0.009393739 0.009858596 0.009881235 0.010430612 0.010255536 0.0101770535 0.010160451 0.010275156 0.009938587 0.010344583 0.010273647 0.010352129 0.010157432 0.010160451 0.010263082 0.009909911 0.010364204 0.010460798 0.01003669 0.0103294905 0.010180072 0.010335527 0.010318926 0.010676624 0.010140831 0.010269119 0.010516641 0.010167997 0.0109981 0.010356657 0.010220822 0.010649457 0.009961227 0.011482578 0.010459288 0.011156574 0.011004137 0.012136094 0.01058003 0.0104125 0.01047589 0.011826693 0.010167997 0.010291758 0.011441827 0.011085638 0.011548986 0.011455411 0.011023758 0.009958209 0.011690858 0.011541439 0.012143641 0.011254677 0.010315906 0.010234406 0.010172525 0.010857737 0.0103143975 0.010330999 0.01005782 0.010317416 0.010172525 0.010353639 6.5832276 2.0 1.0 0.0 379.0 24082172.0 397312.0 1.0 0.0 134.0 1.0 1.0 0.0 0.0 0.0 1471202200.0 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 188416.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188928.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6641455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.157564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2954671 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.4544525 0.0 4.8252053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188632.0 0.0 18488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 228720.0 40.0 228772.0 18488.0 368640.0 0.0 0.0 0.0 0.0 8076.0 389120.0 84.0 220864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 198800.0 0.0 0.0 540.0 192512.0 288.0 226100.0 0.0 0.0