Input: 0.13048100471496582 0.012170527130365372 0.0052146902307868 0.005656538996845484 0.019065117463469505 0.00307544250972569 0.00429162010550499 0.002515475731343031 0.017940809950232506 0.0036397839430719614 0.0034866679925471544 0.0017542708665132523 0.008561366237699986 0.0032023098319768906 0.001233676797710359 0.012363015674054623 0.005752783268690109 0.0011549313785508275 0.0006562110502272844 0.0007174573838710785 0.004217249806970358 0.00207800162024796 0.0019205110147595406 0.001028063939884305 0.0025679725222289562 0.004046634770929813 0.0024148565717041492 0.0007043331861495972 0.001364919007755816 0.0005249688401818275 0.0005949646583758295 0.001189929316751659 0.0012468009954318404 0.0005512172938324511 0.0005380930379033089 0.000559966778382659 0.0018155172001570463 0.0005774656892754138 0.0003062318137381226 0.0007349563529714942 0.0014217905700206757 0.0005643414915539324 0.0009624428348615766 0.0033160531893372536 0.0009099459857679904 0.0004549729928839952 0.0004243497969582677 0.002379858633503318 0.0013036725576967 0.0004287245392333716 0.0010761860758066177 0.0055646696127951145 0.0008399501093663275 0.0006124636274762452 0.0004943456733599305 0.0008836975321173668 0.0018067677738144994 0.0011024345876649022 0.0011418071808293462 0.003206684486940503 0.0008399501093663275 0.0013036725576967 0.0007743290043435991 0.000498720386531204 0.004593477118760347 0.0023492355830967426 0.0028435811400413513 0.0011724303476512432 0.0011024345876649022 0.02838768996298313 0.006465866230428219 0.0025592229794710875 0.0033466762397438288 0.0008224511402659118 0.0005468425224535167 0.0007874532602727413 0.0006868342170491815 0.010171270929276943 0.001189929316751659 0.0010936850449070334 0.019620709121227264 0.0030273201409727335 0.002729838015511632 0.002594220917671919 0.0009099459857679904 0.005805280525237322 0.00592777319252491 0.003491042647510767 0.0009405691525898874 0.0028654548805207014 0.00030185707146301866 0.0022617406211793423 0.0023886081762611866 0.005560294725000858 0.008290132507681847 0.003136688843369484 0.0006605857633985579 0.0025417241267859936 0.0015792811755090952 0.0003456044942140579 0.006745849270373583 0.0042434982024133205 0.003062318079173565 0.0002537349355407059 0.008290132507681847 0.0002362359664402902 0.007966401986777782 0.00024498545099049807 0.0006037141429260373 0.00036310343421064317 0.00029748232918791473 0.00031935604056343436 0.0012992979027330875 0.0006080889143049717 0.0008180764270946383 0.001006190199404955 0.01240676362067461 0.010403132066130638 0.0013080473290756345 0.0009755670907907188 0.0018242666264995933 0.0004549729928839952 0.00020998752734158188 0.00047684667515568435 0.0012380514526739717 0.0025198503863066435 0.002060502767562866 0.0029354507569223642 0.002707964275032282 0.0009361944394186139 0.0003674781764857471 0.020618150010704994 0.004545355215668678 0.019922567531466484 0.0006693352479487658 0.0005074698710814118 0.002126123756170273 0.012861736118793488 0.0014480389654636383 0.05289936065673828 0.000804952229373157 0.020027561113238335 0.0008486995939165354 0.0005030950997024775 0.001119933556765318 0.00040685085696168244 0.00031935604056343436 0.00029748232918791473 0.0007349563529714942 0.0011943040881305933 0.0004024761146865785 0.00035872869193553925 0.0010718113044276834 0.000341229751938954 0.00020998752734158188 0.0002362359664402902 0.0007568300352431834 0.00040685085696168244 0.0002274864964419976 0.0003674781764857471 0.0007655795197933912 0.004239123314619064 0.00024498545099049807 0.0026073451153934 0.0006912089884281158 0.00028435810236260295 0.00023186123871710151 0.00026248442009091377 0.0008005774579942226 0.0003543539496604353 0.000371852918760851 0.0003981013724114746 0.0009843165753409266 0.000371852918760851 0.0002887328446377069 0.0004549729928839952 0.0018592645647004247 0.0005468425224535167 0.0002668591623660177 0.0003849771455861628 0.0012861735885962844 0.0010543124517425895 0.0013474200386554003 0.001189929316751659 0.0018986372742801905 0.0009493186371400952 0.0004855961597058922 0.00036310343421064317 0.0008312006248161197 0.0004418487660586834 0.000590589945204556 0.00039372663013637066 0.01431415043771267 0.005962770897895098 0.005127195734530687 0.0041691274382174015 0.009265699423849583 0.0023273618426173925 0.011269330978393555 0.01486536767333746 0.004470984451472759 0.0027560864109545946 0.0007655795197933912 0.0015836559468880296 0.026799658313393593 0.0006343373097479343 0.003001071745529771 0.0022179933730512857 0.0017061487305909395 0.0005643414915539324 0.0011374324094504118 0.0011549313785508275 0.0013080473290756345 0.0002712339046411216 0.0006255878834053874 0.00039372663013637066 0.002292363904416561 0.0007699542911723256 0.00040685085696168244 0.0016580265946686268 0.0018855130765587091 0.00026248442009091377 0.0003499792073853314 0.00038935188786126673 0.002707964275032282 0.0004243497969582677 0.0005337183247320354 0.00031498129828833044 0.0047509679570794106 0.003298554103821516 0.0005030950997024775 0.00035872869193553925 0.02928888611495495 0.0011986788595095277 0.0005993394297547638 0.00307544250972569 0.008150140754878521 0.0002799833891913295 0.0004462235083337873 0.0010368134826421738 0.014196031726896763 0.0013999168295413256 0.0004112255701329559 0.0004943456733599305 0.005822779145091772 0.00030185707146301866 0.0036529081407934427 0.0016449022805318236 0.002939825411885977 0.0016361528541892767 0.0009143206989392638 0.0010805608471855521 0.017223352566361427 0.0033729246351867914 0.006203381810337305 0.05904586985707283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020586992613971233 0.00016935881285462528 0.0002045502478722483 6.818342080805451e-05 0.00017375774041283876 0.0002155475813196972 0.00045308980043046176 7.258234836626798e-05 0.00014516469673253596 8.138021075865254e-05 9.237753693014383e-05 7.258234836626798e-05 0.00026613526279106736 3.079251109738834e-05 0.00024634008877910674 0.0001539625518489629 0.011753941886126995 0.00153962557669729 0.0007874084985814989 0.0007676132954657078 0.003549936693161726 0.0021818694658577442 0.0012075062841176987 0.0016495988238602877 0.005799989216029644 0.00027933207456953824 0.0003211219154763967 0.000351914408383891 0.0052083334885537624 0.00033211923437193036 0.0024809965398162603 0.0068337381817400455 0.2128356397151947 0.027827631682157516 0.014707823283970356 0.020305462181568146 0.06168399751186371 0.06541208922863007 0.03425886854529381 0.03746568784117699 0.13103093206882477 0.007673933636397123 0.012378589250147343 0.012191634625196457 0.10078389197587967 0.013891821727156639 0.0521911084651947 0.10977530479431152 0.007256035227328539 0.0014120566193014383 0.0009589667897671461 0.0007720122230239213 0.0026041667442768812 0.0022038640454411507 0.0018277554772794247 0.0014296523295342922 0.005126953125 0.00042669623508118093 0.0005938555696047843 0.001324077951721847 0.0035257425624877214 0.0009083790937438607 0.0020894918125122786 0.003576330142095685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 95.0 5.842105388641357 555.0 0.027027027681469917 0.0036036036908626556 0.0 0.009009009227156639 0.0018018018454313278 0.0 0.0 0.0 0.007207207381725311 0.0054054055362939835 0.0 0.0054054055362939835 0.010810811072587967 0.0036036036908626556 0.01621621660888195 0.0 0.0018018018454313278 0.0018018018454313278 0.0 0.0036036036908626556 0.0 0.0 0.0 0.0018018018454313278 0.012612612918019295 0.01621621660888195 0.0036036036908626556 0.030630631372332573 0.0036036036908626556 0.009009009227156639 0.0036036036908626556 0.0 0.010810811072587967 0.030630631372332573 0.007207207381725311 0.0036036036908626556 0.0036036036908626556 0.0 0.02522522583603859 0.012612612918019295 0.009009009227156639 0.0018018018454313278 0.0036036036908626556 0.0 0.0 0.0036036036908626556 0.01621621660888195 0.0036036036908626556 0.07027027010917664 0.08468468487262726 0.0018018018454313278 0.054054055362939835 0.010810811072587967 0.0018018018454313278 0.05585585534572601 0.037837836891412735 0.0036036036908626556 0.0036036036908626556 0.0 0.0036036036908626556 0.007207207381725311 0.0054054055362939835 0.0036036036908626556 0.0036036036908626556 0.007207207381725311 0.012612612918019295 0.007207207381725311 0.0036036036908626556 0.027027027681469917 0.009009009227156639 0.019819820299744606 0.009009009227156639 0.021621622145175934 0.007207207381725311 0.03423423320055008 0.0 0.0018018018454313278 0.0036036036908626556 0.007207207381725311 0.0054054055362939835 0.007207207381725311 0.0 0.019819820299744606 0.02342342399060726 0.036036036908626556 0.009009009227156639 0.0018018018454313278 0.01621621660888195 0.01621621660888195 0.0018018018454313278 0.0018018018454313278 0.0018018018454313278 0.007207207381725311 0.009009009227156639 0.014414414763450623 0.0 5.540659427642822 0.0 0.0 0.0 1.0 228585.0 2740224.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1500423552.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1991680.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 434176.0 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 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2097152.0 0.0 136192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.362979888916016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 433668.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 -51416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2096366.0 0.0 135760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 380.0 2416504.0 135760.0 2600960.0 0.0 0.0 13072.0 2694144.0 0.0 0.0 84.0 2245744.0 0.0 0.0 0.0 0.0 24.0 2245828.0 64.0 2203296.0 0.0 0.0 2896.0 1998848.0 64.0 2415856.0 0.0 0.0


Input: 0.17942307889461517 0.0029591836500912905 0.002806122414767742 0.00279042380861938 0.002684458391740918 0.0023626373149454594 0.002390109933912754 0.0023076923098415136 0.0024725275579839945 0.002649136586114764 0.0024332809261977673 0.0024489795323461294 0.0024450549390167 0.0026452119927853346 0.0025235479697585106 0.0027315542101860046 0.002755102002993226 0.0024372057523578405 0.0024725275579839945 0.0027511774096637964 0.002653061179444194 0.002566718962043524 0.002562794368714094 0.002452904125675559 0.0024450549390167 0.0025196231435984373 0.0026059653609991074 0.0031671898905187845 0.00261773937381804 0.002590266987681389 0.002676609205082059 0.0029434850439429283 0.0031318680848926306 0.0024293563328683376 0.0025156985502690077 0.002452904125675559 0.0023508635349571705 0.0022762950975447893 0.0026020407676696777 0.0027864992152899504 0.0024332809261977673 0.0024018839467316866 0.0115070641040802 0.0023430141154676676 0.0027433279901742935 0.0025353217497467995 0.003594976384192705 0.002476452151313424 0.003492935560643673 0.003410518169403076 0.003516483586281538 0.003386970143765211 0.0032810047268867493 0.00304945046082139 0.003320251125842333 0.0033124019391834736 0.0029317110311239958 0.002778650028631091 0.002841444220393896 0.002927786437794566 0.012064363807439804 0.0034850863739848137 0.0027590265963226557 0.0027590265963226557 0.0030376766808331013 0.002947409637272358 0.0029434850439429283 0.01303767692297697 0.0032182103022933006 0.0027864992152899504 0.003021978074684739 0.0031828884966671467 0.002798273228108883 0.003163265297189355 0.002747252816334367 0.0028571428265422583 0.002684458391740918 0.0028453688137233257 0.012374411337077618 0.002841444220393896 0.0028218210209161043 0.0023587127216160297 0.0024372057523578405 0.0029317110311239958 0.002468602731823921 0.0023861853405833244 0.002288069110363722 0.002684458391740918 0.0024568289518356323 0.011577707715332508 0.002366561908274889 0.002982731442898512 0.0022135006729513407 0.002315541496500373 0.00244113034568727 0.002244897885248065 0.0021546310745179653 0.002649136586114764 0.0023116169031709433 0.0025235479697585106 0.0026726843789219856 0.0032692307140678167 0.002331240102648735 0.011726844124495983 0.002739403396844864 0.0027080061845481396 0.0024489795323461294 0.002460753545165062 0.0027943484019488096 0.0025196231435984373 0.002755102002993226 0.0030023548752069473 0.002295918297022581 0.0025078493636101484 0.003143642097711563 0.002892464632168412 0.003194662509486079 0.00270408159121871 0.011966248042881489 0.0030612244736403227 0.002331240102648735 0.0026216639671474695 0.0022370486985892057 0.002425431739538908 0.0022409732919186354 0.0023351649288088083 0.0023704867344349623 0.0024646781384944916 0.0025235479697585106 0.002146781887859106 0.002244897885248065 0.0026923075783997774 0.002366561908274889 0.002323390915989876 0.0024332809261977673 0.0024058085400611162 0.002158555667847395 0.0023861853405833244 0.0023587127216160297 0.0027864992152899504 0.002217425499111414 0.0024450549390167 0.0017739403992891312 0.002303767716512084 0.0023704867344349623 0.00218210369348526 0.0022723705042153597 0.00244113034568727 0.0021860282868146896 0.002390109933912754 0.0025784929748624563 0.002260596491396427 0.011616954579949379 0.002252747304737568 0.0022566718980669975 0.0023783359210938215 0.0023273155093193054 0.002252747304737568 0.002288069110363722 0.0024293563328683376 0.0021546310745179653 0.0020682888571172953 0.00244113034568727 0.0022370486985892057 0.0021781788673251867 0.011679749004542828 0.0024921507574617863 0.002562794368714094 0.0021624802611768246 0.0021781788673251867 0.0024332809261977673 0.011730769649147987 0.0024882261641323566 0.0025156985502690077 0.0024293563328683376 0.0024450549390167 0.002280219690874219 0.002468602731823921 0.002382260514423251 0.002138932468369603 0.002174254273995757 0.002260596491396427 0.0021624802611768246 0.00253139715641737 0.0023704867344349623 0.002111460082232952 0.002295918297022581 0.0023076923098415136 0.0025510203558951616 0.002323390915989876 0.002390109933912754 0.002303767716512084 0.0024646781384944916 0.002142857061699033 0.0025078493636101484 0.0023979591205716133 0.01145211886614561 0.002193877473473549 0.002252747304737568 0.0022919937036931515 0.002711931010708213 0.002409733133390546 0.002244897885248065 0.00226844591088593 0.0019976452458649874 0.002123233862221241 0.002233124105259776 0.0022213500924408436 0.0025706435553729534 0.012040816247463226 0.0023076923098415136 0.002346938708797097 0.002260596491396427 0.0023430141154676676 0.0024803767446428537 0.0024725275579839945 0.011671899817883968 0.011412872932851315 0.002511773956939578 0.0024568289518356323 0.002111460082232952 0.002331240102648735 0.0023704867344349623 0.002374411327764392 0.0024921507574617863 0.002260596491396427 0.002295918297022581 0.0021781788673251867 0.0027237047906965017 0.011577707715332508 0.0023076923098415136 0.0023547881282866 0.0025706435553729534 0.011573783122003078 0.00287676602602005 0.0025156985502690077 0.020961537957191467 0.0024332809261977673 0.002323390915989876 0.0024058085400611162 0.002374411327764392 0.0020996860694140196 0.0023783359210938215 0.002288069110363722 0.00218210369348526 0.0022135006729513407 0.011652275919914246 0.002476452151313424 0.0023783359210938215 0.0021781788673251867 0.0021899528801441193 0.002201726892963052 0.002225274685770273 0.0020290424581617117 0.002315541496500373 0.004175824113190174 0.14169447124004364 1.9768472157011274e-06 0.0 0.0 1.9768472157011274e-06 0.0 1.9768472157011274e-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 0.003147140610963106 7.90738886280451e-06 2.174531800847035e-05 3.953694431402255e-06 1.3837930055160541e-05 1.581477772560902e-05 0.0 8.69812720338814e-05 0.00011070344044128433 1.581477772560902e-05 5.930541647103382e-06 1.3837930055160541e-05 2.372216658841353e-05 3.953694431402255e-06 1.9768471247516572e-05 0.0005574708920903504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007011876907199621 5.337487527867779e-05 5.930541374254972e-05 0.004173124209046364 0.004121726378798485 8.69812720338814e-05 0.00010872659186134115 8.105073357000947e-05 5.7328568800585344e-05 5.930541374254972e-05 4.546748459688388e-05 7.907388499006629e-05 6.9189649366308e-05 5.930541374254972e-05 7.116649794625118e-05 5.7328568800585344e-05 0.0012335525825619698 7.90738886280451e-06 3.953694431402255e-06 0.0017020654631778598 0.0009212107979692519 7.90738886280451e-06 9.884235623758286e-06 5.930541647103382e-06 2.7675860110321082e-05 2.174531800847035e-05 5.930541647103382e-06 2.372216658841353e-05 1.9768471247516572e-05 2.7675860110321082e-05 1.7791624486562796e-05 1.1861083294206765e-05 0.005112126935273409 0.00014430984447244555 0.0001660551642999053 0.0007512019365094602 0.0004349063674453646 9.093496919376776e-05 0.00012058767606504261 0.00043886006460525095 0.000138379298732616 7.907388499006629e-05 9.686550765763968e-05 8.105073357000947e-05 4.942117811879143e-05 6.721280078636482e-05 0.00025896698934957385 6.721280078636482e-05 0.006306142546236515 0.0004111842135898769 0.00024710589786991477 0.0009607477113604546 0.0018542826874181628 0.0005396792548708618 0.0029296875 0.001617060974240303 0.00023722165497019887 5.337487527867779e-05 5.337487527867779e-05 6.523595948237926e-05 9.093496919376776e-05 8.105073357000947e-05 0.0001225645246449858 0.0006246836856007576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001520195510238409 0.0003242029342800379 0.00029257338610477746 0.00042699900222942233 0.0006088689551688731 0.0002352448063902557 0.00040723051642999053 0.00014628669305238873 5.930541647103382e-06 1.3837930055160541e-05 2.174531800847035e-05 9.884235623758286e-06 3.953694431402255e-06 1.1861083294206765e-05 1.1861083294206765e-05 7.90738886280451e-06 0.005167478695511818 0.0009923772886395454 0.0005357255577109754 0.0018048614729195833 0.001205876818858087 0.0006266605341807008 0.0010062152286991477 0.0011090112384408712 0.0008302758214995265 0.00023919850355014205 0.0003123418428003788 0.0004665359447244555 0.0003756009682547301 0.00041316106216982007 0.0005199108272790909 0.0005891004693694413 0.0031827238854020834 0.00035978617961518466 0.008039837703108788 0.008308688178658485 0.01530277356505394 0.008075420744717121 0.008027976378798485 0.008733711205422878 0.0008935349178500473 0.007737379986792803 0.015346264466643333 0.0007057344191707671 0.0078125 0.02259536273777485 0.030443446710705757 0.008281012997031212 0.0050053768791258335 0.0020045230630785227 0.002235814230516553 0.002888173796236515 0.0034021539613604546 0.0020440600346773863 0.002160693984478712 0.0023267490323632956 0.0010754048125818372 0.0022951194550842047 0.003052252111956477 0.0009093497064895928 0.0015577555168420076 0.00354844075627625 0.0041810316033661366 0.0017989309271797538 0.03817291930317879 0.03796732798218727 0.03900912404060364 0.03844374790787697 0.038659222424030304 0.03726554661989212 0.03629491478204727 0.036275144666433334 0.034244924783706665 0.036000363528728485 0.03727740794420242 0.03476088121533394 0.03598059341311455 0.039246346801519394 0.04010627418756485 0.03543696179986 1445.0 7.080276966094971 10231.0 0.0077216303907334805 0.006744208745658398 0.005766787100583315 0.005278076510876417 0.005571302957832813 0.005962271708995104 0.006646466441452503 0.0062554981559515 0.007037435192614794 0.004984850063920021 0.005180334206670523 0.005962271708995104 0.005180334206670523 0.005082591902464628 0.01681165024638176 0.005669045262038708 0.019352946430444717 0.021307790651917458 0.019939400255680084 0.019352946430444717 0.017104877158999443 0.010067442432045937 0.010947121307253838 0.012315511703491211 0.010360668413341045 0.009774215519428253 0.010360668413341045 0.011338090524077415 0.008699052035808563 0.023164890706539154 0.012413254007697105 0.011240348219871521 0.009969700127840042 0.014759065583348274 0.011240348219871521 0.03274362161755562 0.016225198283791542 0.011826801113784313 0.014954550191760063 0.017398104071617126 0.012217769399285316 0.015638744458556175 0.008992278017103672 0.011631316505372524 0.012413254007697105 0.010849379003047943 0.019939400255680084 0.011338090524077415 0.009578730911016464 0.005278076510876417 0.005864529404789209 0.011240348219871521 0.006060013547539711 0.004496139008551836 0.007428403943777084 0.009285504929721355 0.007428403943777084 0.0061577558517456055 0.006450982298702002 0.016518425196409225 0.005766787100583315 0.004300654865801334 0.006548724602907896 0.00420291256159544 0.004007428418844938 0.013879385776817799 0.007135177496820688 0.011631316505372524 0.010653895325958729 0.029615873470902443 0.0045938813127577305 0.006744208745658398 0.0077216303907334805 0.015443260781466961 0.004984850063920021 0.008210341446101665 0.015150033868849277 0.009774215519428253 0.012413254007697105 0.014856807887554169 0.008796794340014458 0.005571302957832813 0.022089727222919464 0.012999706901609898 0.022089727222919464 0.008601309731602669 0.006841951049864292 0.010262926109135151 0.005962271708995104 0.007819372229278088 0.005375818815082312 0.005571302957832813 0.004887107759714127 0.004105170723050833 0.005864529404789209 0.004007428418844938 6.393267631530762 0.0 0.0 0.0 7.0 254800.0 307200.0 0.0 0.0 101.0 0.0 1.0 0.0 0.0 0.0 1022169472.0 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 6.0 4.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 6.0 1.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109071.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -137216.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.154327869415283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.813469648361206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.894501686096191 0.0 3.5491418838500977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110095.0 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 -38704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139776.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 5804.0 1932.0 57344.0 24.0 17360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1775665283203125 0.0165557861328125 0.01007843017578125 0.00472259521484375 0.01409912109375 0.0018310546875 0.00182342529296875 0.00174713134765625 0.00766754150390625 0.00139617919921875 0.001922607421875 0.0032806396484375 0.0050048828125 0.0047454833984375 0.00081634521484375 0.00656890869140625 0.01067352294921875 0.001190185546875 0.00118255615234375 0.00127410888671875 0.0046844482421875 0.00241851806640625 0.00093841552734375 0.00066375732421875 0.00390625 0.0005645751953125 0.00041961669921875 0.00199127197265625 0.00392913818359375 0.000762939453125 0.0006256103515625 0.0005340576171875 0.00484466552734375 0.0012664794921875 0.0008544921875 0.000640869140625 0.037200927734375 0.00147247314453125 0.0005645751953125 0.0008544921875 0.00225067138671875 0.0004119873046875 0.00030517578125 0.0008087158203125 0.001220703125 0.00128936767578125 0.00042724609375 0.0006866455078125 0.00200653076171875 0.00046539306640625 0.00142669677734375 0.0052642822265625 0.00262451171875 0.001556396484375 0.000396728515625 0.00125885009765625 0.00186920166015625 0.0007781982421875 0.0006866455078125 0.00263214111328125 0.002532958984375 0.00275421142578125 0.00182342529296875 0.0020294189453125 0.0036468505859375 0.00247955322265625 0.00054168701171875 0.00091552734375 0.01456451416015625 0.0101165771484375 0.00336456298828125 0.00780487060546875 0.0014801025390625 0.00058746337890625 0.00052642822265625 0.00095367431640625 0.01062774658203125 0.00225830078125 0.00234222412109375 0.00110626220703125 0.0118408203125 0.0045318603515625 0.0038299560546875 0.00545501708984375 0.00339508056640625 0.0030517578125 0.00658416748046875 0.005767822265625 0.001434326171875 0.0022125244140625 0.000457763671875 0.00463104248046875 0.00292205810546875 0.00382232666015625 0.0072479248046875 0.005584716796875 0.00115966796875 0.00052642822265625 0.0003814697265625 0.00034332275390625 0.00600433349609375 0.000640869140625 0.00084686279296875 0.00037384033203125 0.01322174072265625 0.00030517578125 0.01003265380859375 0.00046539306640625 0.0040130615234375 0.0003204345703125 0.0005340576171875 0.00083160400390625 0.0023956298828125 0.00113677978515625 0.00067901611328125 0.0008087158203125 0.01171112060546875 0.00833892822265625 0.00067901611328125 0.000579833984375 0.00113677978515625 0.00051116943359375 0.00041961669921875 0.00052642822265625 0.00377655029296875 0.00089263916015625 0.001617431640625 0.00055694580078125 0.0030517578125 0.003631591796875 0.00031280517578125 0.01248931884765625 0.0080108642578125 0.0143890380859375 0.000885009765625 0.00031280517578125 0.00267791748046875 0.01396942138671875 0.00366973876953125 0.04431915283203125 0.00356292724609375 0.0180511474609375 0.00072479248046875 0.00037384033203125 0.02288818359375 0.00029754638671875 0.0002899169921875 0.00031280517578125 0.00127410888671875 0.00045013427734375 0.000274658203125 0.00025177001953125 0.00091552734375 0.00043487548828125 0.0003662109375 0.000396728515625 0.001251220703125 0.00028228759765625 0.0005340576171875 0.0004119873046875 0.00103759765625 0.00368499755859375 0.00026702880859375 0.000457763671875 0.0017242431640625 0.000579833984375 0.0003509521484375 0.00031280517578125 0.0008544921875 0.00029754638671875 0.00080108642578125 0.0003204345703125 0.00106048583984375 0.000335693359375 0.00038909912109375 0.00043487548828125 0.00160980224609375 0.00048828125 0.0002593994140625 0.00041961669921875 0.00104522705078125 0.0005035400390625 0.00046539306640625 0.00051116943359375 0.00244140625 0.0005950927734375 0.000335693359375 0.0006103515625 0.00107574462890625 0.0003814697265625 0.0008392333984375 0.00054168701171875 0.01232147216796875 0.00165557861328125 0.006256103515625 0.0037689208984375 0.00907135009765625 0.000732421875 0.00522613525390625 0.00772857666015625 0.00390625 0.0017852783203125 0.0008697509765625 0.00362396240234375 0.0013427734375 0.00179290771484375 0.0075225830078125 0.00377655029296875 0.0012664794921875 0.000885009765625 0.0010833740234375 0.00074005126953125 0.000732421875 0.000457763671875 0.00057220458984375 0.000579833984375 0.00223541259765625 0.00061798095703125 0.0005035400390625 0.003082275390625 0.000946044921875 0.00074005126953125 0.00063323974609375 0.00101470947265625 0.00099945068359375 0.00081634521484375 0.00048828125 0.00051116943359375 0.00116729736328125 0.0006866455078125 0.0005340576171875 0.000732421875 0.0372772216796875 0.00341033935546875 0.00052642822265625 0.0051422119140625 0.00213623046875 0.00170135498046875 0.000732421875 0.000762939453125 0.002685546875 0.00202178955078125 0.00067901611328125 0.001129150390625 0.0009918212890625 0.00067901611328125 0.00241851806640625 0.00086212158203125 0.0019989013671875 0.0012664794921875 0.0008087158203125 0.0018768310546875 0.00255584716796875 0.0022125244140625 0.002655029296875 0.05132293701171875 0.015748031437397003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070550874806940556 5.7671015383675694e-05 8.07394171715714e-05 7.689468475291505e-06 8.842888928484172e-05 2.3068405425874516e-05 0.00013456569286063313 7.689468475291505e-05 2.3068405425874516e-05 0.00012687622802332044 1.1534202712937258e-05 0.00011149729107273743 2.691313966352027e-05 2.3068405425874516e-05 1.1534202712937258e-05 1.537893695058301e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004994309972971678 0.0001230314956046641 0.00010380782623542473 0.00018070251098833978 0.00033449186594225466 0.0003806286840699613 0.00011918676318600774 0.00014994463708717376 0.0003729392192326486 1.537893695058301e-05 6.151574780233204e-05 7.30499523342587e-05 0.00020761565247084945 0.00014994463708717376 0.0003075787390116602 0.0002998892741743475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13474640250205994 0.01680917851626873 0.029615987092256546 0.01567113772034645 0.03281480818986893 0.038493480533361435 0.023914247751235962 0.01809716410934925 0.06902451068162918 0.009892500936985016 0.00723578967154026 0.006178488023579121 0.03752076253294945 0.008373831398785114 0.03227270022034645 0.039024051278829575 0.095457062125206 0.01879306137561798 0.025390625 0.014425442554056644 0.030204232782125473 0.033964380621910095 0.015928734093904495 0.017485851421952248 0.06148114427924156 0.020407849922776222 0.005647914484143257 0.005717119667679071 0.033849041908979416 0.007643331773579121 0.025367556139826775 0.037055548280477524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 261.0 5.4865899085998535 1432.0 0.02374301664531231 0.0006983240018598735 0.001396648003719747 0.0020949721802026033 0.08938547223806381 0.002793296007439494 0.0020949721802026033 0.0 0.013966480270028114 0.0020949721802026033 0.0006983240018598735 0.0 0.008379888720810413 0.0006983240018598735 0.0034916200675070286 0.002793296007439494 0.020251397043466568 0.0 0.0034916200675070286 0.002793296007439494 0.011173184029757977 0.002793296007439494 0.0 0.0 0.008379888720810413 0.001396648003719747 0.001396648003719747 0.0034916200675070286 0.013268155977129936 0.001396648003719747 0.0006983240018598735 0.0006983240018598735 0.006284916307777166 0.002793296007439494 0.0 0.0006983240018598735 0.03142458200454712 0.056564245373010635 0.002793296007439494 0.0034916200675070286 0.006983240135014057 0.0020949721802026033 0.0 0.001396648003719747 0.03980446979403496 0.0006983240018598735 0.0020949721802026033 0.002793296007439494 0.05167597904801369 0.03142458200454712 0.0321229062974453 0.04958100616931915 0.018854748457670212 0.013966480270028114 0.03631284832954407 0.013966480270028114 0.03351955488324165 0.006284916307777166 0.0 0.020251397043466568 0.016759777441620827 0.022346368059515953 0.030027933418750763 0.03351955488324165 0.006284916307777166 0.0048882681876420975 0.0006983240018598735 0.002793296007439494 0.022346368059515953 0.0020949721802026033 0.0006983240018598735 0.0006983240018598735 0.06843575090169907 0.0020949721802026033 0.03142458200454712 0.0 0.002793296007439494 0.001396648003719747 0.0034916200675070286 0.0020949721802026033 0.0048882681876420975 0.0 0.0048882681876420975 0.002793296007439494 0.01955307275056839 0.006983240135014057 0.0006983240018598735 0.0 0.0048882681876420975 0.0 0.0 0.0 0.005586592014878988 0.0 0.0006983240018598735 0.0006983240018598735 5.296443462371826 0.0 0.0 0.0 2.0 131072.0 495616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1315881472.0 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 331776.0 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 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 -94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -331776.0 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 0.0 0.0 0.0 -6.3402838706970215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -328672.0 0.0 2256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 100.0 377704.0 2256.0 491520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 520.0 335872.0 0.0 0.0 0.0 0.0


Input: 0.22159312665462494 0.027430690824985504 0.015081998892128468 0.013520109467208385 0.014691527001559734 0.007077313493937254 0.018059352412819862 0.006393986754119396 0.008443967439234257 0.0055154236033558846 0.007858258672058582 0.0040511516854166985 0.0028797343838959932 0.004588051699101925 0.0034654431510716677 0.002147598657757044 0.003123779781162739 0.0029285436030477285 0.0033678251784294844 0.0047832876443862915 0.002147598657757044 0.0015618898905813694 0.0022940258495509624 0.002245216630399227 0.002342834835872054 0.0011226083151996136 0.0016595079796388745 0.0016106989933177829 0.0019035532604902983 0.003026161575689912 0.0018547442741692066 0.0018059351714327931 0.011323701590299606 0.0012690355069935322 0.0026356892194598913 0.0019035532604902983 0.0028797343838959932 0.0017571260686963797 0.001171417417936027 0.0012202265206724405 0.0034654431510716677 0.0012202265206724405 0.005857087206095457 0.003074970794841647 0.003660679329186678 0.0026356892194598913 0.014349862933158875 0.00492971483618021 0.019670050591230392 0.0072237406857311726 0.003319015959277749 0.004197578877210617 0.0032702069729566574 0.0029285436030477285 0.0018059351714327931 0.0019523623632267118 0.001708317082375288 0.0026356892194598913 0.002147598657757044 0.001171417417936027 0.0008785630343481898 0.002147598657757044 0.0008785630343481898 0.0012202265206724405 0.0014154626987874508 0.005661850795149803 0.001708317082375288 0.006735650356858969 0.0032702069729566574 0.0017571260686963797 0.0019035532604902983 0.002245216630399227 0.002245216630399227 0.003758297534659505 0.0007321359007619321 0.0014154626987874508 0.0018059351714327931 0.00297735258936882 0.004295197315514088 0.0012202265206724405 0.003123779781162739 0.0014642718015238643 0.00297735258936882 0.005173760466277599 0.0040023429319262505 0.00595470517873764 0.0025380710139870644 0.0015618898905813694 0.001073799328878522 0.0010249902261421084 0.0014154626987874508 0.0010249902261421084 0.0016595079796388745 0.0008297539898194373 0.0009273721370846033 0.00297735258936882 0.001171417417936027 0.01654627174139023 0.004588051699101925 0.011518937535583973 0.012348691932857037 0.029724717140197754 0.004148770123720169 0.007711831480264664 0.003660679329186678 0.01927957870066166 0.0007809449452906847 0.0025380710139870644 0.011421320028603077 0.009908239357173443 0.014545099809765816 0.027821162715554237 0.008053494617342949 0.0011226083151996136 0.020353376865386963 0.014886762946844101 0.02474619261920452 0.011372510343790054 0.0021964076440781355 0.0035142521373927593 0.001513080787844956 0.007370167877525091 0.0008297539898194373 0.001708317082375288 0.0010249902261421084 0.0012202265206724405 0.0006833267980255187 0.0006833267980255187 0.003074970794841647 0.0014642718015238643 0.003319015959277749 0.0012202265206724405 0.0006833267980255187 0.0007321359007619321 0.005027333274483681 0.00039047247264534235 0.0007809449452906847 0.0005857087089680135 0.0004392815171740949 0.0008785630343481898 0.0007809449452906847 0.00048809059080667794 0.000536899664439261 0.000536899664439261 0.0007321359007619321 0.001171417417936027 0.0007321359007619321 0.0013178446097299457 0.0009273721370846033 0.0005857087089680135 0.0009273721370846033 0.00024404529540333897 0.0007321359007619321 0.0008785630343481898 0.0010249902261421084 0.0005857087089680135 0.0007321359007619321 0.0006833267980255187 0.0006345177534967661 0.0006345177534967661 0.0018059351714327931 0.0014154626987874508 0.0007321359007619321 0.001171417417936027 0.001513080787844956 0.000536899664439261 0.0009761811816133559 0.0007321359007619321 0.0007809449452906847 0.001171417417936027 0.0008785630343481898 0.0011226083151996136 0.0009761811816133559 0.0007321359007619321 0.0008297539898194373 0.000536899664439261 0.0007321359007619321 0.0009761811816133559 0.0007809449452906847 0.0007809449452906847 0.0016106989933177829 0.000536899664439261 0.0009761811816133559 0.0006345177534967661 0.0008785630343481898 0.0007321359007619321 0.00048809059080667794 0.000536899664439261 0.0008785630343481898 0.0012202265206724405 0.0007321359007619321 0.0007809449452906847 0.0005857087089680135 0.0009761811816133559 0.0012690355069935322 0.001171417417936027 0.001073799328878522 0.0008297539898194373 0.0011226083151996136 0.002147598657757044 0.0012690355069935322 0.0009273721370846033 0.0007321359007619321 0.00039047247264534235 0.0006833267980255187 0.0007321359007619321 0.0008785630343481898 0.0009761811816133559 0.0008785630343481898 0.000536899664439261 0.00039047247264534235 0.0005857087089680135 0.0011226083151996136 0.0004392815171740949 0.000536899664439261 0.002342834835872054 0.0006833267980255187 0.0006833267980255187 0.000536899664439261 0.0008297539898194373 0.0008785630343481898 0.0010249902261421084 0.000536899664439261 0.0009273721370846033 0.0007809449452906847 0.0007809449452906847 0.000536899664439261 0.000536899664439261 0.0007809449452906847 0.00039047247264534235 0.0008297539898194373 0.0007321359007619321 0.00048809059080667794 0.00048809059080667794 0.0009761811816133559 0.0005857087089680135 0.0007321359007619321 0.00034166339901275933 0.0006345177534967661 0.0010249902261421084 0.0010249902261421084 0.0005857087089680135 0.000536899664439261 0.0007809449452906847 0.0009273721370846033 0.000536899664439261 0.000536899664439261 0.0019035532604902983 0.0007321359007619321 0.000536899664439261 0.0006345177534967661 0.0010249902261421084 0.0009761811816133559 0.0010249902261421084 0.0016106989933177829 0.003660679329186678 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.040270354598760605 0.00015419407282024622 0.0009508634684607387 0.0013106496771797538 0.0015933387912809849 0.0004625822475645691 0.005550986621528864 0.0020559211261570454 7.709703641012311e-05 0.0 5.139802669873461e-05 5.139802669873461e-05 5.139802669873461e-05 0.0 2.5699013349367306e-05 2.5699013349367306e-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 0.03944798558950424 0.002312911208719015 0.006296258419752121 0.001387746655382216 0.0053453948348760605 0.0029039885848760605 0.027215255424380302 0.018349096179008484 0.0003340871771797538 0.00015419407282024622 0.00025699014076963067 0.00025699014076963067 0.00023129112378228456 0.00035978617961518466 0.00010279605339746922 0.00030838814564049244 0.07254831492900848 0.0029039885848760605 0.0068359375 0.003777754958719015 0.00732421875 0.0053453948348760605 0.03456517308950424 0.01755242608487606 0.001259251614101231 0.0007966693956404924 0.0007195723592303693 0.0005653782864101231 0.0012078536674380302 0.0006681743543595076 0.00048828125 0.0013363487087190151 0.06463301926851273 0.0037263568956404924 0.004934210330247879 0.004266036208719015 0.002364309271797538 0.003058182541280985 0.0048571135848760605 0.003777754958719015 0.002595600439235568 0.0015162418130785227 0.0019274259684607387 0.0008737664320506155 0.0024157073348760605 0.0016190378228202462 0.0011564556043595076 0.001541940844617784 0.05427631735801697 0.00560238491743803 0.00801809225231409 0.003957647830247879 0.008711965754628181 0.005448190961033106 0.042223479598760605 0.021638568490743637 0.0017989309271797538 0.0009251644951291382 0.001259251614101231 0.0006167762912809849 0.00146484375 0.0011307565728202462 0.00030838814564049244 0.0005139802815392613 0.02682976983487606 0.0020559211261570454 0.00907175149768591 0.00973992608487606 0.00413754116743803 0.003829153021797538 0.02924547716975212 0.014545641839504242 0.00012849507038481534 0.00048828125 0.0004368832160253078 0.00023129112378228456 0.0008480674587190151 0.00028268914320506155 0.00017989308980759233 0.003212376730516553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04965049400925636 0.01752672716975212 0.022075451910495758 0.028217516839504242 0.012104235589504242 0.01418585516512394 0.03428248316049576 0.02145867608487606 0.011590254493057728 0.006501850206404924 0.00876336358487606 0.008146586827933788 0.007632607128471136 0.007041529752314091 0.006656044628471136 0.00732421875 0.010176809504628181 0.0029810855630785227 0.004214638378471136 0.004677220247685909 0.002030221978202462 0.0028268913738429546 0.005936472211033106 0.004060443956404924 0.002595600439235568 0.001747532864101231 0.0022101150825619698 0.001953125 0.001876027905382216 0.0016961349174380302 0.001541940844617784 0.002107319189235568 322.0 20.354036331176758 6554.0 0.018919743597507477 0.00045773573219776154 0.00045773573219776154 0.001068050041794777 0.0022886786609888077 0.00045773573219776154 0.0006103143095970154 0.0006103143095970154 0.0009154714643955231 0.00015257857739925385 0.0013732071965932846 0.0018309429287910461 0.007323771715164185 0.0044247787445783615 0.033872444182634354 0.01266402192413807 0.02929508686065674 0.013426914811134338 0.0059505645185709 0.006255721673369408 0.005492828786373138 0.004272200167179108 0.0025938358157873154 0.0019835215061903 0.0024412572383880615 0.002898992970585823 0.0039670430123806 0.0007628928869962692 0.001068050041794777 0.0044247787445783615 0.001068050041794777 0.0006103143095970154 0.0003051571547985077 0.012816600501537323 0.0032041501253843307 0.016478486359119415 0.006255721673369408 0.0025938358157873154 0.0024412572383880615 0.004729935899376869 0.001068050041794777 0.005645407363772392 0.0 0.0015257857739925385 0.0013732071965932846 0.006255721673369408 0.007781507447361946 0.0016783643513917923 0.006103143095970154 0.0003051571547985077 0.006255721673369408 0.011443393304944038 0.007476350292563438 0.0013732071965932846 0.004119621589779854 0.0015257857739925385 0.00045773573219776154 0.00045773573219776154 0.0016783643513917923 0.0 0.0015257857739925385 0.00045773573219776154 0.0006103143095970154 0.007018614560365677 0.00045773573219776154 0.042264267802238464 0.009765028953552246 0.03051571547985077 0.033109553158283234 0.08407079428434372 0.00869697891175747 0.019224900752305984 0.009612450376152992 0.0476045161485672 0.0006103143095970154 0.005187671631574631 0.02898992970585823 0.027158986777067184 0.03936527296900749 0.07110162079334259 0.019224900752305984 0.0007628928869962692 0.05386023968458176 0.03692401573061943 0.06850778311491013 0.02929508686065674 0.004272200167179108 0.0079340860247612 0.0022886786609888077 0.018462007865309715 0.0012206286191940308 0.00015257857739925385 0.0 0.00015257857739925385 0.0003051571547985077 0.0 5.318944454193115 1.0 22.0 0.0 2.0 20488.0 40960.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1516383744.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 10752.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849624872207642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.693281650543213 0.0 3.318430185317993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10552.0 0.0 1196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 18656.0 1196.0 24576.0 0.0 0.0 7176.0 13312.0 12.0 32768.0 28.0 18344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2026151716709137 0.004653032869100571 0.0031235639471560717 0.0028363396413624287 0.0035400390625 0.002398322569206357 0.0022188073489814997 0.0031235639471560717 0.004530962556600571 0.002362419618293643 0.0022618910297751427 0.0021757239010185003 0.0028578813653439283 0.002240349305793643 0.0020895565394312143 0.002355238888412714 0.0026568244211375713 0.002362419618293643 0.0022188073489814997 0.0021254594903439283 0.0025419348385185003 0.002283432986587286 0.0019603054970502853 0.0020895565394312143 0.001874138368293643 0.0020177504047751427 0.0019028607057407498 0.0016012752894312143 0.0018454159144312143 0.001787971006706357 0.0018597771413624287 0.0017664292827248573 0.004609949421137571 0.0017664292827248573 0.0017807903932407498 0.0016874425346031785 0.0021685431711375713 0.004983340855687857 0.0018095128471031785 0.0017377068288624287 0.0023911420721560717 0.0018238740740343928 0.002032111631706357 0.0018023322336375713 0.001910041319206357 0.001708984375 0.0033030789345502853 0.0015581916086375713 0.0018956800922751427 0.001708984375 0.0017448874423280358 0.0022547105327248573 0.0019244025461375713 0.001752068055793643 0.0020608340855687857 0.0017736097797751427 0.0021254594903439283 0.0017951516201719642 0.0018813189817592502 0.0017161649884656072 0.0018095128471031785 0.0018310546875 0.0018238740740343928 0.0018956800922751427 0.011280733160674572 0.004595588427037001 0.0023480583913624287 0.0027860754635185003 0.007546817418187857 0.011848000809550285 0.0028794233221560717 0.005320829339325428 0.0025491153355687857 0.004574046470224857 0.002154181944206357 0.0021254594903439283 0.0025132123846560717 0.0087890625 0.004294002894312143 0.0020823758095502853 0.007072897627949715 0.0035974839702248573 0.0030804802663624287 0.0026209214702248573 0.002405503299087286 0.004437614697962999 0.0019459443865343928 0.0020823758095502853 0.004444795660674572 0.0020105699077248573 0.0018884995952248573 0.0020033891778439283 0.002685546875 0.0029368679970502853 0.001953125 0.001910041319206357 0.0020177504047751427 0.0032743567135185003 0.0018669577548280358 0.002649643924087286 0.0032815372105687857 0.005464441608637571 0.001752068055793643 0.0021900851279497147 0.004846909549087286 0.0032958984375 0.0035184973385185003 0.0018095128471031785 0.0028076171875 0.0022906134836375713 0.003137925174087286 0.0029943129047751427 0.003698012325912714 0.0016084559028968215 0.0029225070029497147 0.0025491153355687857 0.005155675578862429 0.0031092027202248573 0.0021470014471560717 0.009894875809550285 0.0020608340855687857 0.0018813189817592502 0.002039292361587286 0.0017161649884656072 0.0020895565394312143 0.002161362674087286 0.0018238740740343928 0.0018023322336375713 0.006175321526825428 0.0021254594903439283 0.0016515394672751427 0.003382065799087286 0.0021757239010185003 0.024363799020648003 0.0019387637730687857 0.0018813189817592502 0.002276252256706357 0.0048828125 0.0021757239010185003 0.011618221178650856 0.0022116268519312143 0.006498449016362429 0.0018884995952248573 0.0019746667239814997 0.00244140625 0.0019674862269312143 0.0019603054970502853 0.0020823758095502853 0.0023480583913624287 0.002032111631706357 0.002197265625 0.001989027950912714 0.0021039177663624287 0.0020105699077248573 0.0018238740740343928 0.0018669577548280358 0.002283432986587286 0.0019315831596031785 0.0020105699077248573 0.0016443589702248573 0.0020536535885185003 0.0021829043980687857 0.0022977942135185003 0.0022547105327248573 0.0019674862269312143 0.0018669577548280358 0.0021039177663624287 0.002032111631706357 0.001989027950912714 0.0016802619211375713 0.0019028607057407498 0.0019674862269312143 0.0020105699077248573 0.0018095128471031785 0.0015294691547751427 0.0018238740740343928 0.002233168575912714 0.0016587200807407498 0.0015940946759656072 0.001752068055793643 0.0017233456019312143 0.0025921990163624287 0.0026999081019312143 0.002649643924087286 0.0026711856480687857 0.0020823758095502853 0.0015653722221031785 0.0017448874423280358 0.0021326402202248573 0.0018382353009656072 0.002032111631706357 0.0019028607057407498 0.004057042766362429 0.0019603054970502853 0.0024629479739814997 0.002764533506706357 0.0019244025461375713 0.0018813189817592502 0.026403089985251427 0.0033102596644312143 0.0022977942135185003 0.0020033891778439283 0.001989027950912714 0.0015725528355687857 0.006735409144312143 0.0016874425346031785 0.001874138368293643 0.001996208680793643 0.0028004366904497147 0.0024342257529497147 0.0027429917827248573 0.0023767808452248573 0.0024198645260185003 0.0017448874423280358 0.0019244025461375713 0.0016730813076719642 0.0021326402202248573 0.0017305262153968215 0.0016156365163624287 0.0018238740740343928 0.0026209214702248573 0.0015797334490343928 0.0018956800922751427 0.0014863855903968215 0.002240349305793643 0.0022977942135185003 0.0015725528355687857 0.001629997743293643 0.0030302160885185003 0.002642463194206357 0.0025562960654497147 0.0017161649884656072 0.009614832699298859 0.0026137407403439283 0.0019746667239814997 0.0022906134836375713 0.004136029630899429 0.001787971006706357 0.0018382353009656072 0.0017736097797751427 0.003209731075912714 0.0018597771413624287 0.0019244025461375713 0.0021829043980687857 0.0035400390625 0.0038990695029497147 0.003949333447962999 0.0038129021413624287 0.004358628299087286 0.003863166319206357 0.0036046644672751427 0.0038344438653439283 0.008106905035674572 0.003504136111587286 0.004925895947962999 0.06356272846460342 0.04427444934844971 0.0 0.0 7.233796168293338e-06 1.4467592336586677e-05 1.0850694707187358e-05 4.340277882874943e-05 2.5318286134279333e-05 1.0850694707187358e-05 0.0 0.0 3.616898084146669e-06 1.0850694707187358e-05 0.0 2.1701389414374717e-05 2.1701389414374717e-05 0.0069986977614462376 3.616898175096139e-05 1.0850694707187358e-05 1.4467592336586677e-05 1.8084490875480697e-05 1.0850694707187358e-05 2.1701389414374717e-05 2.1701389414374717e-05 0.00016276042151730508 1.8084490875480697e-05 2.1701389414374717e-05 1.4467592336586677e-05 1.4467592336586677e-05 1.0850694707187358e-05 1.0850694707187358e-05 2.1701389414374717e-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 0.013104021549224854 0.00013382523320615292 9.40393510973081e-05 0.00010127314453711733 0.0056966147385537624 0.002090567024424672 0.0001844618091126904 0.00010127314453711733 8.318865729961544e-05 1.4467592336586677e-05 1.4467592336586677e-05 3.616898175096139e-05 3.616898175096139e-05 0.00012297453940846026 2.8935184673173353e-05 0.00037977431202307343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895543843507767 5.0636572268558666e-05 6.148726970423013e-05 6.510417006211355e-05 0.00011574073869269341 0.0001302083401242271 0.00017361111531499773 0.00010850694525288418 0.0001302083401242271 7.957175694173202e-05 4.701967554865405e-05 3.978587847086601e-05 0.000191695595276542 0.00014467592700384557 7.233796168293338e-06 0.00016637731459923089 0.02065972238779068 0.0005967881879769266 0.0006944444612599909 0.0002785011602099985 0.0013491030549630523 0.0006510416860692203 0.001045283512212336 0.0018337673973292112 0.0011357059702277184 9.40393510973081e-05 0.00010127314453711733 0.00010127314453711733 8.318865729961544e-05 4.701967554865405e-05 0.0003182870277669281 0.0006401909631676972 0.019212963059544563 0.0001699942076811567 0.0017867477145045996 0.00027126737404614687 0.0017939815297722816 0.0008825231343507767 0.005797887686640024 0.006333188619464636 9.40393510973081e-05 3.616898084146669e-06 1.4467592336586677e-05 0.00014829282008577138 3.255208503105678e-05 1.0850694707187358e-05 5.7870369346346706e-05 0.0004267939948476851 0.015049912966787815 0.0002929687616415322 0.0004991319729015231 0.0003616898029576987 0.0013671874767169356 0.0004340277810115367 0.002991174813359976 0.006155960727483034 0.000419560179580003 0.0002242476912215352 0.00011574073869269341 0.0002459490788169205 0.0001880787021946162 0.00015914351388346404 0.0002640335587784648 0.0008608217467553914 0.01958550326526165 0.0008680555620230734 0.0014431423041969538 0.00033275462919846177 0.007353154011070728 0.0029296875 0.0012948495568707585 0.0006727430736646056 0.0018699363572522998 0.0006040220032446086 0.0005280671175569296 0.0013563367538154125 0.0011465566931292415 0.00047743055620230734 0.0013527199625968933 0.0026294849812984467 0.016344763338565826 0.0027416087687015533 0.0024305556435137987 0.002437789458781481 0.006264467723667622 0.002987557789310813 0.0036783854011446238 0.0029839409980922937 0.02156032994389534 0.0028175637125968933 0.0024052371736615896 0.0045030382461845875 0.021296296268701553 0.0025318285916000605 0.0024667244870215654 0.05810546875 0.011349826119840145 0.0009548611124046147 0.000419560179580003 0.0006004050956107676 0.004611545242369175 0.00118272565305233 0.0006799768307246268 0.0010054976446554065 0.004354745149612427 0.002358217490836978 0.0015154803404584527 0.0011682581389322877 0.0033854166977107525 0.000983796315267682 0.0008463541744276881 0.009027778171002865 0.021618200466036797 0.001598668983206153 0.0015661169309169054 0.0007269965135492384 0.007693142164498568 0.003562644589692354 0.0032479744404554367 0.002170138992369175 0.009132667444646358 0.0014105902519077063 0.0010995370103046298 0.0007233796059153974 0.004759837873280048 0.0010561342351138592 0.005787036847323179 0.0079210065305233 0.02378472313284874 0.0019784432370215654 0.0031901041511446238 0.000972945592366159 0.012677228078246117 0.006318720988929272 0.003891782369464636 0.0022171586751937866 0.014080584049224854 0.0024739583022892475 0.0016312210354954004 0.0013852720148861408 0.009422020055353642 0.0038194444496184587 0.007957176305353642 0.01531033031642437 0.004123263992369175 0.0006691261660307646 0.0010271990904584527 0.0006582754431292415 0.0025643808767199516 0.0007884837687015533 0.0012080440064892173 0.0010633680503815413 0.0015480323927477002 0.0006546585937030613 0.0005208333604969084 0.000625723390839994 0.0019784432370215654 0.0010850694961845875 0.0012152778217568994 0.002492042724043131 0.022323494777083397 0.022978153079748154 0.024052372202277184 0.023379629477858543 0.023918546736240387 0.024410445243120193 0.023173466324806213 0.02225477434694767 0.02313368022441864 0.02216796949505806 0.02367621473968029 0.022728588432073593 0.02281901054084301 0.022674335166811943 0.02368706651031971 0.02299262210726738 475.0 14.227368354797363 6758.0 0.009766203351318836 0.0023675644770264626 0.003255401039496064 0.001775673241354525 0.001627700519748032 0.005179047118872404 0.002071618800982833 0.0025155371986329556 0.004143237601965666 0.0028114826418459415 0.0028114826418459415 0.002219591522589326 0.0011837822385132313 0.0029594553634524345 0.0071026929654181 0.003255401039496064 0.00384729215875268 0.0026635099202394485 0.0029594553634524345 0.006066883914172649 0.003107428317889571 0.001775673241354525 0.003107428317889571 0.002071618800982833 0.003699319437146187 0.00192364607937634 0.003699319437146187 0.0029594553634524345 0.001627700519748032 0.0028114826418459415 0.0025155371986329556 0.003255401039496064 0.003255401039496064 0.05297425389289856 0.0028114826418459415 0.007546611595898867 0.10580053180456161 0.006066883914172649 0.008138502947986126 0.059337083250284195 0.004439183045178652 0.05001479759812355 0.003255401039496064 0.0026635099202394485 0.004883101675659418 0.00547499256208539 0.048831015825271606 0.00384729215875268 0.05031074211001396 0.0014797276817262173 0.004439183045178652 0.00932228472083807 0.006510802078992128 0.003699319437146187 0.00384729215875268 0.003995264880359173 0.04809115082025528 0.00355134648270905 0.0026635099202394485 0.003403373761102557 0.005179047118872404 0.003255401039496064 0.001627700519748032 0.0071026929654181 0.003107428317889571 0.010802012868225574 0.00192364607937634 0.0071026929654181 0.008138502947986126 0.027374962344765663 0.003995264880359173 0.005918910726904869 0.0029594553634524345 0.013909440487623215 0.00384729215875268 0.001775673241354525 0.013613495044410229 0.010062148794531822 0.007990529760718346 0.01094998512417078 0.016129031777381897 0.003107428317889571 0.01109795831143856 0.006806747522205114 0.019236460328102112 0.006214856635779142 0.0026635099202394485 0.1463450789451599 0.004143237601965666 0.005031074397265911 0.0023675644770264626 0.0014797276817262173 0.0028114826418459415 0.001627700519748032 0.003699319437146187 0.0028114826418459415 5.263887405395508 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1378811136.0 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 49152.0 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 -49152.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018100738525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761836528778076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.801072597503662 0.0 7.429802417755127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -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 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 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 -1.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0