Input: 0.18782471 0.023937335 0.01451223 0.0069222837 0.011783206 0.0063069155 0.004982536 0.004036377 0.011576462 0.003317637 0.00276186 0.0026633523 0.008656503 0.0066133835 0.0020151483 0.01333622 0.006704594 0.010001557 0.0014216707 0.001390051 0.005127257 0.0052999496 0.001893534 0.001790162 0.0041604238 0.0011395256 0.0010714217 0.0012076296 0.0035499202 0.001253843 0.0008902164 0.00090724236 0.006158546 0.00064577174 0.00098994 0.0011127705 0.02353844 0.0011954681 0.0006713107 0.0007004981 0.0029150937 0.00072603713 0.000639691 0.0023568843 0.002473634 0.001168713 0.0009631849 0.00056915474 0.0021975697 0.0007369824 0.0009048101 0.0050859083 0.0017974587 0.001041018 0.0006846883 0.00053023815 0.002141627 0.0020650101 0.0009668334 0.004531347 0.0021902728 0.002124601 0.000981427 0.0009254845 0.0033966862 0.002558764 0.0016746284 0.0020771716 0.008832844 0.005320624 0.0038417943 0.0024444466 0.0030683277 0.005106583 0.005297517 0.0020492002 0.011676185 0.0028348283 0.0014180222 0.0010069661 0.0077298023 0.004280822 0.003870982 0.0038527397 0.0036484278 0.0032191295 0.005188064 0.003778555 0.0016357118 0.0014204546 0.00042200147 0.008385303 0.0023702618 0.004632287 0.0045155375 0.0035596495 0.0012903273 0.0028129378 0.00082697696 0.0015226105 0.004121507 0.0049497006 0.008077619 0.00088048726 0.0059420727 0.0027849665 0.00801438 0.00064455555 0.0034331705 0.0013110017 0.002917526 0.002975901 0.0020941976 0.0012051973 0.00498132 0.0028299638 0.014725055 0.01217602 0.0014301836 0.0014216707 0.0019300183 0.0013681604 0.00058739685 0.0007649537 0.0034964099 0.0021452755 0.0017488131 0.0014435613 0.0053692698 0.003053734 0.00064455555 0.019886363 0.0065647378 0.012677071 0.0013146502 0.00080387027 0.0020333903 0.01185131 0.0017524614 0.033688366 0.00209663 0.008700284 0.0006044229 0.0006530686 0.0012635721 0.00056915474 0.0005083476 0.0005253736 0.0022972934 0.0009437266 0.0012976242 0.00028336124 0.0008707581 0.0007284694 0.00047551174 0.00076008914 0.0010787185 0.0004718633 0.0005618579 0.001253843 0.0012927596 0.0015019361 0.00041835304 0.0007990057 0.00094007823 0.00049497 0.0005144283 0.00024201238 0.00090724236 0.0003830849 0.00035268135 0.0004171369 0.0010045337 0.00030646793 0.0004110562 0.00039281405 0.0019847448 0.0002857935 0.00034903293 0.0004147046 0.0014569388 0.00043659518 0.0016320633 0.0032179132 0.0038393622 0.001287895 0.0007819797 0.0005655063 0.0011358772 0.00048159246 0.001048315 0.0008294092 0.010703271 0.0029637394 0.0035450556 0.004903487 0.0068675573 0.000981427 0.0036836958 0.0046201255 0.001714761 0.0026974042 0.000724821 0.00084035454 0.011541193 0.0006384749 0.0007722505 0.0007917088 0.0019944739 0.0015140976 0.0017378677 0.0007150918 0.0008877841 0.00054604805 0.0010069661 0.0008476514 0.001927586 0.0010458826 0.00061536813 0.0016417925 0.0013523506 0.0009242684 0.00055456103 0.0010592602 0.0020796037 0.0009631849 0.0014350483 0.0007564407 0.0016527377 0.0022535122 0.00094129436 0.00049740233 0.012781658 0.0037323416 0.0005241575 0.005766948 0.0028688803 0.00060199056 0.0007625214 0.00045483734 0.0023556682 0.0007540084 0.00051564444 0.0007394147 0.001279382 0.0009084585 0.0030087368 0.0016126051 0.0048341667 0.0017086803 0.0011893874 0.0016880059 0.002293645 0.0020297419 0.003386957 0.034798704 0.0 0.0049857046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8264884e-06 0.0 0.0 0.0 0.0 0.0 0.001121464 0.0 0.0 0.0 0.00012298356 0.0 0.0 0.0 0.0 0.0 2.435318e-06 0.0 0.0 0.0 0.0 0.0032146196 8.706262e-05 0.0 0.0 0.0 0.00027884392 0.0 0.00016012216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040255804 0.00089985 0.0 0.0 0.0 0.00044931617 0.0 0.00056925556 0.0 5.1141677e-05 0.0 2.435318e-06 0.0 0.0 0.0 0.00023683468 0.0018167472 0.00010593633 8.828028e-05 0.0 0.0 0.000105327505 0.0 0.0003774743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011128794 0.0008243551 0.00023196403 7.305954e-05 0.00023987882 0.0011701703 0.0001528162 0.0008133962 5.1750507e-05 0.00054003176 1.8873714e-05 1.7656055e-05 1.6438396e-05 2.5570838e-05 0.00013394249 0.0007707781 0.012960154 0.0017235962 0.00010106569 4.870636e-05 0.00054246705 0.0020468847 0.0017509937 0.0016438396 0.00012907185 0.001470932 0.00045114264 2.0700203e-05 1.33942485e-05 0.00010837165 0.00019665192 0.00048280178 0.033285927 0.00075068674 0.0031866136 0.0008894999 0.0023159874 0.0027366886 0.008502913 0.0046879873 0.00023257287 0.00070015393 0.00057108206 2.8006156e-05 0.00013881312 0.00052298454 0.0006758007 0.00062465906 0.017781474 0.0005083726 0.0005917823 0.0004073069 0.0016584515 0.0017260317 0.0028091392 0.0015756508 0.00045966628 0.0005741262 0.00052724633 0.0007165923 0.00054977305 0.00094429456 0.00036164472 0.0012274003 0.009106872 0.0005260287 0.0008383582 0.00035555643 0.0018666713 0.0012767154 0.0055823578 0.0029041166 0.0002952823 0.00012785419 0.000115068775 0.00010106569 0.00011933058 0.00012785419 0.00011202462 0.00023561702 0.0074204137 0.00038965087 0.0008474906 0.0006666683 0.0012438387 0.00082922576 0.0025814371 0.0014617996 0.0003074589 0.00023987882 0.00015707802 0.00018812831 0.00017473406 0.00026240552 0.00017168991 0.0005144609 0.0067507015 0.0005047196 0.00068432436 0.00051872275 0.0007062422 0.0007409455 0.00075433974 0.00080791675 0.0014910235 0.00020882851 0.00019299895 0.00042800713 0.00090045884 0.00036164472 0.00043105127 0.0019744341 0.021607967 0.001842318 0.002692244 0.0019902636 0.0032541936 0.0032529759 0.0021735213 0.0023732174 0.0077820583 0.0009777802 0.0006977186 0.0019239011 0.003777787 0.0010410984 0.0020718467 0.0061321305 0.11492752 0.018504154 0.022312991 0.01344539 0.028898092 0.02597571 0.01623931 0.02093034 0.05996727 0.005585402 0.0045333444 0.010255733 0.030149236 0.007924525 0.018702025 0.029329753 0.06712406 0.015078271 0.015255441 0.010435337 0.02176809 0.021805838 0.011852693 0.01600917 0.041114256 0.0034271013 0.0031251218 0.006066377 0.022210708 0.007070337 0.015259703 0.021649368 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2353.0 11.121122 26168.0 0.03122134 0.00068786304 0.006534699 0.0009171507 0.042647507 0.0021400184 0.0017578722 0.002560379 0.006534699 0.0019107306 0.0010317946 0.0029807398 0.0068786303 0.0024075205 0.0040125344 0.0025985937 0.00546469 0.0020635892 0.002178233 0.004509324 0.0050825435 0.0016050137 0.0012610822 0.00099358 0.0053118314 0.006993274 0.0020253744 0.0066875573 0.004623968 0.0024075205 0.002254662 0.0027896669 0.0069550597 0.0076811374 0.0029807398 0.009515439 0.023425559 0.0058468357 0.006763987 0.009477224 0.0055793338 0.0089040045 0.006534699 0.0021400184 0.014674411 0.0043946807 0.0042418223 0.0034011006 0.027743809 0.015553348 0.018457659 0.01631764 0.014062977 0.008483645 0.011502598 0.017884439 0.0032482422 0.0034011006 0.00099358 0.0042036073 0.0042418223 0.027705595 0.005541119 0.008101498 0.0030953838 0.032214917 0.006763987 0.017081931 0.017196575 0.059194434 0.009133292 0.008177928 0.018343015 0.02808774 0.008521859 0.002866096 0.022317335 0.012649037 0.029234178 0.032023847 0.01234332 0.0013757261 0.07329563 0.021553041 0.04925864 0.019374808 0.005158973 0.0048914705 0.0062671965 0.0066875573 0.0014521553 0.0008789361 0.0037832467 0.0011464384 0.0014139407 0.001184653 5.8170857 0.0 3.0 1.0 3.0 822272.0 860160.0 0.0 0.0 421.0 0.0 1.0 0.0 0.0 0.0 1452925700.0 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 10.0 0.0 5.0 0.0 5.0 0.0 641536.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -641536.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8463035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9877949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6270547 0.0 5.8613734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143138.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -641041.0 0.0 23184.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 1.0 0.0 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 0.0 -1.0 -2.0 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 -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 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 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 2.0 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 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 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 0.0 -1.0 -2.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 0.0 -1.0 0.0 1.0 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 1.0 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 0.0 0.0 -1.0 -1.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 -4.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 3.0 1.0 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 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 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 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 780828.0 23184.0 835584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1756.0 647168.0 0.0 0.0 0.0 0.0


Input: 0.044279467 0.007335875 0.006921419 0.00744208 0.008011957 0.005255823 0.0070250332 0.005564075 0.0081881005 0.0048284153 0.005755761 0.0050175106 0.006905877 0.0044113686 0.005558894 0.005323172 0.0074602123 0.004097936 0.0045072115 0.0038337202 0.005763532 0.0034969745 0.004597874 0.003574685 0.006100278 0.0035772754 0.004134201 0.0035125166 0.0053931116 0.0033337823 0.0038855271 0.004069442 0.0066831065 0.0039399248 0.0036964316 0.003670528 0.0048620896 0.0034633 0.0037301062 0.003825949 0.0046445 0.0031887225 0.0034995647 0.004408778 0.004476127 0.0031446866 0.003986551 0.0033208306 0.0054604607 0.0027768568 0.0036135402 0.0031757709 0.0043725134 0.0029711332 0.0035021552 0.0029581813 0.004672994 0.0032664333 0.0031809516 0.0039399248 0.0049423906 0.003087699 0.0031939032 0.0035513719 0.006214253 0.004437272 0.0043155258 0.0040564905 0.0041834177 0.0034943842 0.0042404053 0.0034348061 0.005276546 0.0034477578 0.0035487814 0.003427035 0.003986551 0.0034477578 0.0044398624 0.003825949 0.006087326 0.0040849843 0.004230044 0.0044735367 0.0038337202 0.0034658902 0.0046445 0.0042585377 0.004442453 0.0027146884 0.00309547 0.0031524578 0.003854443 0.0028726999 0.0036213114 0.004100526 0.004960523 0.0034995647 0.0030125787 0.002712098 0.0037974552 0.002963362 0.0033208306 0.002644749 0.0048672706 0.0033001078 0.0037016121 0.002839025 0.003973599 0.00287529 0.0035850464 0.0030540244 0.0051573897 0.0023080031 0.0035876369 0.0028675192 0.0057453997 0.004906126 0.0035850464 0.0035151069 0.004217092 0.0029452296 0.002976314 0.0024116172 0.0037689614 0.0028649287 0.0034969745 0.003419264 0.007289249 0.004797331 0.0038596236 0.0044605853 0.004336248 0.0037430578 0.0037870938 0.003346734 0.008237317 0.0045823315 0.0036523954 0.0051496187 0.0032120359 0.004354381 0.002883061 0.002704327 0.0046445 0.00257999 0.0029141454 0.0023701715 0.0027898084 0.0024038462 0.0028701094 0.0025773996 0.0027664953 0.0022639672 0.0026188453 0.0019790286 0.002903784 0.0021033655 0.0032612525 0.0027846277 0.0036394438 0.0029685427 0.002528183 0.0025022796 0.0030928797 0.0025411348 0.0027328208 0.0024789663 0.0030177594 0.0023546296 0.0024893277 0.0019142698 0.0057946164 0.0025230022 0.00257999 0.002328726 0.0051107635 0.002409027 0.0022976417 0.0023028224 0.0035410104 0.0023986655 0.0032198068 0.0028105313 0.0040124543 0.0026369777 0.003214626 0.0027846277 0.0030773375 0.0021707145 0.0031887225 0.004390646 0.0053257626 0.004289622 0.0040513095 0.003838901 0.0030229401 0.0023080031 0.003478842 0.0032405297 0.0038803464 0.0025307734 0.002556677 0.002305413 0.002476376 0.0021214979 0.002512641 0.0032638428 0.0041963696 0.002807941 0.0032223973 0.002644749 0.0027872182 0.0021784855 0.0030410725 0.0024686048 0.0040927553 0.0026369777 0.003066976 0.0028105313 0.0031291447 0.0029918558 0.0028934225 0.0029581813 0.004797331 0.0030540244 0.0025981225 0.002232883 0.003103241 0.0017484872 0.0018728242 0.0024867374 0.0033130595 0.0024893277 0.0024064365 0.0046963072 0.003087699 0.0026473391 0.002779447 0.0024867374 0.0047869696 0.0023908943 0.0023131839 0.0024349303 0.0024867374 0.0018831855 0.00287529 0.0028183025 0.0043492 0.004797331 0.0034140833 0.0025773996 0.0026810137 0.0022665574 0.0029089646 0.026846403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003324468 0.00014154962 1.8180684e-05 0.0 0.0 3.765999e-05 7.272274e-05 0.0 0.0 0.0 7.142412e-05 6.752826e-05 2.5972407e-05 0.0 3.895861e-06 0.0098669175 0.00010518825 1.9479305e-05 3.376413e-05 7.791722e-06 0.0 0.0 2.2076545e-05 1.8180684e-05 1.2986203e-06 1.5583444e-05 1.5583444e-05 1.6882064e-05 1.5583444e-05 1.6882064e-05 2.5972406e-06 0.0023686835 0.004441282 0.00012986203 2.8569648e-05 2.2076545e-05 5.3243435e-05 6.493102e-05 0.00012336894 5.9736536e-05 0.00016102892 3.895861e-05 3.506275e-05 2.3375167e-05 2.0777925e-05 1.8180684e-05 4.415309e-05 5.4542055e-05 0.0021492166 0.00011427859 5.4542055e-05 3.895861e-05 4.155585e-05 5.9736536e-05 2.5972407e-05 9.090342e-06 5.5840675e-05 5.194481e-06 0.00012596618 9.090342e-06 7.66186e-05 0.00012207031 3.895861e-06 0.0024271214 0.0010064307 1.6882064e-05 9.090342e-06 0.0 0.0 0.0 0.0 1.16875835e-05 0.0010986328 0.0 0.0 7.791722e-06 3.246551e-05 1.2986203e-06 0.0 0.00047529503 0.004450372 0.00022466131 0.0002558282 0.00013765375 8.570894e-05 0.00018959858 0.00011427859 0.00022206407 0.0013531625 9.869515e-05 0.0018544298 0.0006869702 6.622964e-05 0.0001792096 7.272274e-05 0.0033062873 0.0021673974 9.739653e-05 0.00016102892 2.5972407e-05 5.0646195e-05 0.00012986203 5.0646195e-05 7.791722e-05 1.8180684e-05 6.36324e-05 0.00021816822 0.0003519261 2.5972407e-05 0.000140251 2.5972407e-05 0.0017141788 0.007741076 0.0001973903 0.00029608543 0.00036750955 0.00046230885 0.000663595 0.00045841298 0.00079865154 0.0012375852 0.00012856342 0.00096617354 0.00076878327 8.441032e-05 5.7139296e-05 5.3243435e-05 0.0016765188 0.009368247 0.00036750955 0.0006012612 0.00025842545 0.0006441157 0.0006337267 0.0006311295 0.0009622777 0.0013051134 0.00037400267 0.0011726542 0.0023777739 0.00024673788 0.0007402136 0.00039088473 0.003862097 0.0064762197 0.00029608543 0.00044412815 0.00024543924 0.000496073 0.000550615 0.0005441219 0.000981757 0.0017518388 0.00022725856 0.00036750955 0.0009116315 0.00024024476 0.00051944813 0.00021167511 0.0016934009 0.0020258478 0.00027660612 0.00032855096 0.00026621716 0.00026102268 0.00027011303 0.0005804833 0.00034673163 0.00024543924 8.441032e-05 5.9736536e-05 8.051446e-05 0.00010259101 9.350067e-05 0.00011947307 0.00017791099 0.0015661361 0.00019219582 0.00045191988 0.0003194606 0.00030777304 0.00050646195 0.000561004 0.00031296752 0.00036231507 0.00012986203 5.0646195e-05 1.9479305e-05 4.155585e-05 0.00011297997 0.00012077169 0.00026361994 0.0031699322 0.0011947308 0.0011401887 0.0010025349 0.00057399017 0.0005155523 0.0005830805 0.0005661985 0.000803846 0.00055710814 0.00046490607 0.0006324281 0.0005285385 0.000561004 0.0005817819 0.0004220516 0.09169688 0.06811653 0.060775433 0.056038067 0.062841535 0.059406687 0.051181223 0.053421345 0.062120803 0.042199966 0.0401936 0.043727145 0.049817674 0.045485478 0.044279058 0.043698575 2475.0 6.411717 15869.0 0.020228118 0.008381121 0.00901128 0.009074296 0.009578424 0.0088222325 0.007687945 0.008759216 0.012981284 0.007687945 0.007750961 0.008129057 0.011153822 0.007687945 0.012414141 0.009200328 0.0137374755 0.008318105 0.00964144 0.009200328 0.011090806 0.008255089 0.008192073 0.0062385784 0.01165795 0.008192073 0.0071208016 0.007561913 0.011973029 0.009074296 0.00699477 0.010082551 0.014052555 0.012918268 0.0109647745 0.012036045 0.01569097 0.012666205 0.010586678 0.009200328 0.014052555 0.011973029 0.009263343 0.008318105 0.010649694 0.008948264 0.014493667 0.011216838 0.019534942 0.009893503 0.011973029 0.015627954 0.011910013 0.009956519 0.012414141 0.01134287 0.012603189 0.00636461 0.007687945 0.0073098494 0.009704455 0.00667969 0.008507152 0.011973029 0.012225093 0.011153822 0.00964144 0.009893503 0.013863508 0.013800492 0.0086962 0.00901128 0.014745731 0.01071271 0.008381121 0.008003024 0.014493667 0.00901128 0.011090806 0.011279854 0.015249859 0.0044111162 0.011720966 0.010334615 0.019345894 0.012666205 0.007813977 0.0144306505 0.011531917 0.009263343 0.0051673073 0.0068687377 0.008570168 0.004789212 0.008255089 0.0071838177 6.527319 0.0 0.0 0.0 5.0 386048.0 1122304.0 0.0 0.0 14.0 1.0 1.0 0.0 0.0 0.0 1541600100.0 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 344064.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -343552.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9267874 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7950544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -344064.0 0.0 0.0 0.0 0.0 0.0 729088.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 788.0 1117892.0 40644.0 1077248.0 0.0 0.0 0.0 0.0 12.0 1118680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.030910999 0.006806761 0.0055951322 0.0061197937 0.006133634 0.0041507403 0.0042425874 0.0053283977 0.005678172 0.005385016 0.0041998094 0.0042337803 0.005159802 0.0032284933 0.00459362 0.0047433437 0.0064431466 0.004089089 0.005144703 0.003928042 0.0057347906 0.0032083623 0.0038487767 0.0034801296 0.004823867 0.003405897 0.0032247186 0.0029303043 0.0051371544 0.0034360932 0.003580784 0.0034511914 0.0061839614 0.0040765074 0.0042362968 0.0036449514 0.004744602 0.003997242 0.0031580352 0.0035354896 0.022160348 0.003566944 0.0032284933 0.0037355404 0.0039443984 0.0033215987 0.0033480206 0.0034813876 0.004885518 0.0031882315 0.0036902458 0.003150486 0.0039796275 0.002588079 0.002664828 0.0026786681 0.0043256273 0.0035719767 0.0032662386 0.003987177 0.003774544 0.002887526 0.0031995552 0.0031039333 0.0060115904 0.0039116857 0.004224973 0.0034927113 0.004963525 0.0035644276 0.003891555 0.0032045878 0.005344754 0.003454966 0.0037770604 0.003579526 0.003894071 0.002872428 0.003753155 0.0031932641 0.005737307 0.004162064 0.004245104 0.003788384 0.0036940204 0.0035078095 0.003857584 0.0038097731 0.0039154603 0.0030007625 0.0030913516 0.0028699115 0.003539264 0.002949177 0.0036625657 0.003468806 0.0042866236 0.0028535551 0.0030913516 0.0023980937 0.004172129 0.002955468 0.0029894388 0.0024761008 0.004218682 0.0029730825 0.0031328716 0.0025868209 0.0031932641 0.00233141 0.002734028 0.0026220498 0.004114253 0.0028938171 0.0034109296 0.0028975916 0.004924522 0.004509322 0.0030989007 0.002929046 0.0034184786 0.0029391116 0.0028057443 0.0026270826 0.0037456057 0.0030938678 0.0037217003 0.0032234606 0.006279583 0.0038336786 0.0032108787 0.003754413 0.004086573 0.0035417804 0.002983148 0.0029391116 0.0043671476 0.0052151615 0.0035304567 0.0038764568 0.0030850605 0.0039116857 0.0028787188 0.002809519 0.0048792274 0.0038877802 0.0033052424 0.0028686535 0.0035015186 0.0031127406 0.0029579843 0.0031215479 0.0034335768 0.0028699115 0.0024660353 0.00234525 0.002804486 0.0029479188 0.0024761008 0.0026736353 0.004421249 0.0030561225 0.003227235 0.0026497298 0.0033819913 0.0029718243 0.0026837008 0.0024672935 0.02061027 0.0026459554 0.0025352354 0.0025364936 0.0028749444 0.0026044354 0.0025918535 0.0026182753 0.0038739403 0.0026623118 0.0029718243 0.002394319 0.003095126 0.0027453518 0.0024584862 0.0025553664 0.0039645294 0.0026660862 0.0027692572 0.00271893 0.0031039333 0.0028422317 0.0031869733 0.003024668 0.005002529 0.003448675 0.0035090677 0.0033467624 0.0038361948 0.0028422317 0.002975599 0.0032498823 0.004578522 0.0032297515 0.0029743407 0.0029265299 0.0030133442 0.002630857 0.00267741 0.0026824425 0.004368406 0.0029932135 0.003205846 0.0029579843 0.0030963842 0.0026082098 0.0029303043 0.0026962825 0.0034373514 0.0027705154 0.0025553664 0.0024257735 0.0030032787 0.0027076062 0.0026484716 0.0025968864 0.02155013 0.002879977 0.0032649806 0.0024094172 0.0038638748 0.002491199 0.002672377 0.0022458537 0.0039355913 0.0028824934 0.0029126897 0.004143191 0.003295177 0.002532719 0.0027529008 0.002630857 0.0048301583 0.0028271335 0.0031530024 0.0026535045 0.003336697 0.0025868209 0.0030561225 0.002838457 0.003988435 0.0030989007 0.0032008132 0.0027440935 0.003629853 0.002921497 0.003427286 0.030967617 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011378528 1.3230847e-05 5.670363e-06 5.040323e-06 5.040323e-06 4.410282e-06 6.300403e-06 1.638105e-05 5.670363e-05 5.670363e-06 5.670363e-06 5.670363e-06 6.9304438e-06 4.410282e-06 5.670363e-06 5.670363e-06 0.0032283266 4.347278e-05 8.505544e-05 2.7091734e-05 3.1502015e-05 3.2132055e-05 6.300403e-05 2.7721775e-05 1.827117e-05 8.190525e-06 7.1194554e-05 6.9304438e-06 1.2600806e-05 8.820564e-06 0.000107106855 9.954637e-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 0.0009375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009375 0.0 0.0 0.0 0.0009375 0.0049294354 0.0 0.0 0.0003125 0.0 0.0 2.7091734e-05 1.2600807e-06 0.0 6.3004035e-07 4.158266e-05 0.00031313003 2.7091734e-05 1.890121e-06 4.22127e-05 0.00038180445 0.0014314516 0.0007006048 7.560484e-06 0.013115549 5.670363e-06 6.300403e-06 0.00016066029 6.300403e-06 1.2600806e-05 1.890121e-06 4.284274e-05 0.01311681 0.000172001 1.3230847e-05 5.544355e-05 0.013341104 0.018596271 0.0032062752 9.765625e-05 0.0025957662 3.4652217e-05 7.308468e-05 6.55242e-05 5.2923388e-05 4.0952622e-05 8.694556e-05 2.7091734e-05 0.0025812753 4.4732864e-05 5.2293348e-05 3.3392138e-05 0.0026203378 0.0025806453 0.00034904233 1.4490927e-05 0.00021106351 3.780242e-06 4.347278e-05 2.9611896e-05 5.670363e-06 1.2600807e-06 6.3004035e-07 6.3004035e-07 0.00021106351 1.2600807e-06 1.890121e-06 1.2600807e-06 0.00021547379 0.00019972278 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005210434 2.6461694e-05 7.434476e-05 7.371472e-05 4.9773185e-05 4.4102824e-05 0.00018838205 9.828629e-05 4.4102824e-05 1.5751008e-05 1.5120968e-05 1.7011089e-05 3.27621e-05 1.890121e-05 2.4571573e-05 4.5992943e-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 0.0012745715 0.0006464214 0.000655872 0.0004813508 0.00038495465 0.00027280746 0.0003515625 0.00031502015 0.00048639113 0.00024634576 0.0001984627 0.00021799395 0.00026272683 0.00016129033 0.00026272683 0.00023311492 0.09584615 0.065048516 0.062425025 0.05432838 0.06257813 0.058683217 0.048336063 0.053852066 0.059615675 0.049271673 0.04644909 0.04652659 0.052532133 0.046689767 0.048604462 0.051148564 3878.0 5.866168 22749.0 0.017890897 0.012308233 0.014506132 0.008615763 0.014638006 0.0101103345 0.009714712 0.010725746 0.015385292 0.010549914 0.008264099 0.008703679 0.01195657 0.008527847 0.009582839 0.009846587 0.014638006 0.009538881 0.01195657 0.008747637 0.012659897 0.0069453605 0.007428898 0.007560772 0.013626972 0.010681788 0.008352015 0.008264099 0.011604906 0.007340982 0.0071651503 0.0065497383 0.015824871 0.011385116 0.011780738 0.009714712 0.016264452 0.009890544 0.011209284 0.009494923 0.017539233 0.009802628 0.008264099 0.008527847 0.011604906 0.008571805 0.011033452 0.0077366037 0.017715065 0.012571981 0.014857796 0.013539056 0.010989494 0.0112972 0.013231351 0.012088443 0.0111653255 0.008835553 0.008220142 0.00738494 0.010242209 0.007472856 0.008132226 0.008659721 0.012659897 0.009143259 0.009407007 0.008439931 0.014813838 0.011033452 0.009363049 0.0077805617 0.014989669 0.009890544 0.007560772 0.007472856 0.01063783 0.0077805617 0.009143259 0.009407007 0.012879687 0.008835553 0.011121368 0.009670755 0.015912788 0.012659897 0.0077805617 0.008879512 0.009407007 0.009011385 0.007516814 0.0055826628 0.008747637 0.006681612 0.008571805 0.0077805617 6.5369654 0.0 0.0 0.0 11.0 794798.0 2617344.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1540055000.0 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 5.0 12.0 4.0 0.0 4.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -794286.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.829308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2612432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2593418.0 72137.0 1806336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.58992165 0.002821664 0.0017103123 0.0019066118 0.002743638 0.0017365109 0.0021520813 0.0015398316 0.0017378398 0.0015591958 0.001546666 0.0017773275 0.0019669826 0.0015774209 0.0013953598 0.0015694475 0.0026268833 0.0014021941 0.001899208 0.0013706798 0.0015413504 0.0016423479 0.0017289171 0.001377894 0.0015005338 0.0018921837 0.0014306708 0.001352075 0.0014675007 0.0013866269 0.001374287 0.0013841589 0.002143918 0.0013697307 0.0014092184 0.001429342 0.0020231768 0.0013995363 0.0013737173 0.0017416367 0.0014752843 0.0013858675 0.0017380296 0.001582167 0.001412066 0.0014420615 0.0016319064 0.0015495138 0.0017613806 0.0016985419 0.0018967399 0.0018253583 0.0016081758 0.0015937475 0.0016218446 0.0015489442 0.0017416367 0.0016615222 0.0013868167 0.0014954079 0.0014420615 0.0014209887 0.0013611877 0.0014251653 0.0024250783 0.0018601 0.0019696404 0.0020074195 0.0020526026 0.0018447224 0.0017042373 0.0019770444 0.0026730157 0.0016611425 0.0015717256 0.0015971648 0.001743725 0.001699681 0.0016058977 0.0016267806 0.0018337115 0.0017858705 0.0016767097 0.0018792743 0.0017194249 0.0016782285 0.0018635171 0.0018405459 0.0016453854 0.0016590542 0.0015878624 0.0014080793 0.003040935 0.0014452889 0.001423267 0.0015514122 0.0014857259 0.0020455783 0.0016805066 0.0019654639 0.0022878204 0.002660486 0.001785301 0.0016683566 0.0017177162 0.0023939437 0.001694745 0.0017329039 0.0019759054 0.0020017242 0.002091331 0.0022640896 0.0021484743 0.0015479949 0.002206187 0.0024520361 0.0024550736 0.001990903 0.0018606695 0.0017665063 0.0016888599 0.0017492305 0.0015732443 0.0013685916 0.0014302911 0.0014162427 0.0013777041 0.0013777041 0.0020624746 0.0014147239 0.0013568212 0.001756065 0.0016767097 0.0016195665 0.0014388341 0.0013911831 0.0015043307 0.0018921837 0.0014253552 0.00230054 0.0014344677 0.0015599552 0.0013752362 0.0013761853 0.0015138229 0.0013786533 0.0015385028 0.0013465696 0.0013752362 0.0013615673 0.0013940308 0.0013797925 0.0013346093 0.001360618 0.0014749047 0.0013782737 0.0014809797 0.0013765651 0.0013820706 0.0013710596 0.0014082692 0.0014113067 0.0013663134 0.0015426793 0.0014094082 0.0014042824 0.0013615673 0.0013796026 0.0014114965 0.0013695408 0.0013820706 0.0017794159 0.0015151518 0.001342393 0.001360618 0.0013285343 0.00146845 0.0013805518 0.0013433422 0.0013560618 0.0014187106 0.0013600485 0.0014097879 0.0013685916 0.002169737 0.0014295317 0.0014139646 0.0013674526 0.0013955495 0.001381501 0.0015607146 0.0013923221 0.0021752424 0.0014895228 0.0013947901 0.0015155314 0.0014544014 0.0013661236 0.0016554472 0.0019210401 0.0014357966 0.0014350372 0.0014215583 0.0013947901 0.0014997744 0.0013556822 0.0013932714 0.0013909932 0.0014695891 0.001383969 0.0014323795 0.0015339465 0.0013963089 0.0017395484 0.0014069403 0.0013887151 0.0014363662 0.0013790331 0.001371819 0.0015548294 0.0014002956 0.0013465696 0.0013881456 0.0013782737 0.001430481 0.0013564415 0.0013716291 0.0013944105 0.001768215 0.0013477086 0.0013647947 0.0013961191 0.0016539284 0.001780365 0.0013997261 0.001484397 0.0014895228 0.0013361281 0.0013871964 0.0013756158 0.0015092666 0.0013765651 0.0013693509 0.0014264942 0.0013995363 0.0013682119 0.0014152934 0.0013896644 0.0016791777 0.0013980175 0.0013871964 0.0013813112 0.0016133016 0.00140713 0.0014021941 0.0022574451 0.5339158 0.0 1.2342322e-06 5.6964564e-07 2.2785825e-06 2.3735236e-06 3.9875194e-06 3.3229328e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00037140894 2.0887007e-06 1.4241141e-06 7.595275e-07 1.8038778e-06 1.2342322e-06 6.645866e-07 1.0443504e-06 3.7976375e-07 4.747047e-07 1.2342322e-06 1.0443504e-06 8.5446845e-07 1.7089369e-06 1.4241141e-06 1.3291732e-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 0.0022162064 2.4494762e-05 3.7121907e-05 1.5095609e-05 2.2785825e-05 2.9906396e-05 8.53519e-05 3.845108e-05 9.304212e-06 4.841988e-06 1.015868e-05 7.690216e-06 1.006374e-05 3.5128148e-06 5.03187e-06 7.690216e-06 0.0011578047 1.5950078e-05 1.7848897e-05 1.0823267e-05 1.7279252e-05 3.2090036e-05 3.3893913e-05 2.0981948e-05 8.06998e-06 4.0824602e-06 5.6015156e-06 4.841988e-06 5.8863384e-06 1.5285492e-05 4.367283e-06 6.266102e-06 0.00031112146 2.0887007e-06 3.9875194e-06 2.0887007e-06 2.0887007e-06 1.7089369e-06 1.4241141e-06 4.0824602e-06 1.5285492e-05 9.589035e-06 1.8513483e-05 2.0887007e-06 3.03811e-06 3.9875194e-06 2.5634054e-06 5.2217515e-06 0.0011441333 4.1774012e-05 4.6995763e-05 2.7817696e-05 2.2595943e-05 3.3798973e-05 5.383151e-05 4.747047e-05 4.2058837e-05 1.215244e-05 1.0253621e-05 4.557165e-06 1.7089369e-05 8.449743e-06 1.41462e-05 2.8387341e-05 0.0017622937 6.968665e-05 6.902206e-05 3.436862e-05 7.310452e-05 4.6900823e-05 0.00010054246 7.718698e-05 4.9084465e-05 2.3450411e-05 2.8007576e-05 3.645732e-05 4.1109426e-05 4.2438598e-05 3.227992e-05 4.1774012e-05 0.022425715 0.0015628228 0.0010729276 0.00034349633 0.0014373108 0.00097333454 0.0016780811 0.0011877111 0.00046862848 0.0003634339 0.00056955067 0.0006833849 0.00063762337 0.00047992644 0.0005665126 0.0003541297 0.025307361 0.001437216 0.0010268812 0.0017203299 0.003020546 0.0029590242 0.0055723684 0.0035524052 0.00047185647 0.00031529885 0.000512776 0.0005516069 0.0005523664 0.00056499353 0.00039409983 0.00026175217 0.00135832 6.930689e-05 0.00035840206 0.00092728814 0.001499782 0.0011051125 0.0014948451 0.0010763454 0.00022538978 4.044484e-05 5.753421e-05 5.1837753e-05 0.0001498168 4.6616e-05 3.911567e-05 5.5160686e-05 0.00072392466 4.547671e-05 0.00016054513 0.00014117718 0.00028282905 0.00017564074 0.00019823668 0.00015342455 0.00016690617 1.8798306e-05 1.310185e-05 1.6424783e-05 0.00012798038 2.0981948e-05 4.3767774e-05 4.4052595e-05 0.0011592289 8.050992e-05 0.0001115556 0.00012551193 0.00025121373 0.00017725474 0.00014915221 0.00014298105 0.00029460175 4.6426117e-05 3.6932026e-05 6.5319364e-05 0.0001493421 8.269356e-05 8.9529305e-05 0.00014877245 0.0030898529 0.00046606507 0.00050964294 0.00050242746 0.001419462 0.00078088924 0.00034700913 0.0005581578 0.0016853915 0.00016842522 0.00018266636 0.00028653175 0.00087260216 0.00026915755 0.00050964294 0.0009906137 0.0012613853 0.00027608825 0.00031207086 0.00023184577 0.0006055333 0.0003636238 0.00018779318 0.00028093025 0.0007788005 0.00011696724 0.000112030306 0.00011658747 0.00044337419 0.00016101984 0.00027608825 0.0005034718 0.02140377 0.021285474 0.02138013 0.021409372 0.021365318 0.021359053 0.021546846 0.021268955 0.021373674 0.021326963 0.021218635 0.021392092 0.02129231 0.021310063 0.02136209 0.021334654 9464.0 12.911137 122191.0 0.0061051957 0.0042801844 0.0044356785 0.0041001383 0.0048694257 0.00450115 0.004132874 0.0041656094 0.004231081 0.0039200922 0.0043620234 0.012095817 0.0045093335 0.0041165063 0.005491403 0.012275863 0.012431357 0.012586852 0.012619588 0.012570484 0.01199761 0.011883035 0.012275863 0.012013978 0.012922392 0.013356139 0.004394759 0.004214713 0.0039282762 0.0039364602 0.0041083223 0.004574805 0.004754851 0.015655817 0.012488645 0.014100875 0.0134134265 0.013748967 0.013536185 0.012963312 0.0135116335 0.013036966 0.0123085985 0.012644139 0.013871726 0.012570484 0.013167909 0.013200645 0.013151541 0.012856921 0.014411863 0.014223633 0.013716231 0.013118805 0.013077886 0.0134134265 0.013004231 0.012095817 0.012627771 0.004411127 0.0045257015 0.004738483 0.004558437 0.008224828 0.004329288 0.014878347 0.012333151 0.014240001 0.01473922 0.018086439 0.012758714 0.013429794 0.012955127 0.015181151 0.012906024 0.011637518 0.015107496 0.01342161 0.015254806 0.014894714 0.01323338 0.011702989 0.015876783 0.014829243 0.016588783 0.013143358 0.013012415 0.012570484 0.012095817 0.013585289 0.012267679 0.004239265 0.0038137014 0.003952828 0.004239265 0.004157426 6.443261 6.0 0.0 0.0 66.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.72655296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 4.2593975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.38948676 0.020326728 0.0013387314 0.0014422082 0.0026903974 0.00080194534 0.00071140315 0.0016297599 0.0017849752 0.00082781457 0.00055618794 0.00076314155 0.0014745448 0.0011964508 0.00076314155 0.008776128 0.0104511585 0.00084721646 0.00036216888 0.0011059085 0.00041390728 0.0013710678 0.0003945054 0.00024575746 0.00032336506 0.00016814984 0.00026515935 0.0004785803 0.00070493587 0.00038803808 0.00037510347 0.0008601511 0.0026968645 0.00016814984 0.00016168253 0.00038803808 0.00025869205 0.0011317778 0.0010800393 0.00031043048 0.0003945054 0.00020695364 0.00012287873 0.00074373966 0.0003945054 0.0004785803 0.0005432533 0.00026515935 0.000879553 0.0013969371 0.00072433776 0.0012223199 0.00045917838 0.00021988824 0.0005044495 0.0006143936 0.0004785803 0.000601459 0.00033629968 0.00078254344 0.00057558983 0.00081487995 0.0005173841 0.0013775352 0.0023346958 0.0037833713 0.11213007 0.0004850476 0.0004656457 0.0024834438 0.00022635555 0.0004785803 0.00036216888 0.00027809397 0.00011641142 0.00034276696 0.0012093853 0.0020889384 0.00038803808 0.00016168253 0.001888452 0.0004462438 0.0004203746 0.0005238514 0.0003686362 0.0013904698 0.00067259936 0.0009959644 0.0008213473 0.00083428185 0.00018755173 0.0005303187 0.00027809397 0.00095069327 0.00073080504 0.0012158527 0.00077607617 0.0015521523 0.0019078539 0.0011641142 0.0018625828 0.0022376862 0.0009118895 0.0004785803 0.0011770489 0.0014680774 0.0012481891 0.00037510347 0.0013516659 0.00081487995 0.0017009003 0.0021600786 0.00070493587 0.00022635555 0.0017332367 0.0018108444 0.0023152938 0.0016168253 0.00064026285 0.0007696088 0.0004850476 0.0005173841 0.00082781457 0.00079547806 0.00026515935 0.0005303187 0.00029102855 0.0004268419 0.0013063948 0.00067259936 0.00076314155 0.002056602 0.00055618794 0.0013063948 0.001073572 0.00015521524 0.00031689776 0.0020436672 0.00073080504 0.0045206435 0.00020695364 0.0009312914 0.00032336506 0.0005626552 0.00022635555 0.00031689776 0.00026515935 0.00014228062 0.00014874793 0.00027162666 0.00032336506 0.00019401904 0.0013128622 7.760762e-05 0.00010994412 0.00045917838 0.0011188431 0.00018755173 0.00012934602 0.0004203746 0.00082781457 0.000536786 0.00020695364 0.0004397765 0.0004203746 4.527111e-05 7.760762e-05 0.0010153663 0.0005949917 7.114031e-05 0.00014874793 0.00019401904 0.00057558983 0.00014228062 0.00025869205 0.000666132 0.001028301 0.0011770489 0.00015521524 0.00076314155 0.00023929015 0.000666132 0.00055618794 0.00067259936 0.00057558983 0.00072433776 0.0003686362 0.0007696088 0.00029749586 0.00060792634 0.001028301 0.0007372724 0.0018496482 0.00069200125 0.00024575746 0.0011188431 0.0018755174 0.0011641142 0.00028456125 0.0010218336 0.00038157078 0.0009765625 0.00023929015 0.00015521524 0.06437552 0.0005820571 0.00032983237 0.00037510347 0.00067906664 0.00025222474 0.00013581333 0.00031043048 0.001332264 9.700952e-05 0.00031689776 0.00025869205 0.0007890108 0.0004203746 0.0004785803 0.0004462438 0.00057558983 0.00062086096 0.00025222474 0.000536786 0.0022894247 0.00029749586 0.00025869205 0.00035570157 0.0004268419 0.000536786 0.0005238514 0.00030396317 0.0021018728 0.0016168253 0.00022635555 0.0016426946 0.0016491618 0.00058852445 0.0004785803 0.015773747 0.015877225 0.015327504 0.00031043048 0.00036216888 0.0010541701 0.0004203746 0.07425755 0.00029749586 0.0026968645 0.00035570157 0.00031689776 0.00040743998 0.0017849752 0.00072433776 0.00069200125 0.08414606 0.1394694 3.2552084e-06 4.2317708e-05 2.6041667e-05 5.2083335e-05 3.2552084e-06 3.580729e-05 3.90625e-05 0.0 6.510417e-06 3.2552084e-06 9.765625e-06 0.020198567 3.2552084e-06 0.0 0.000107421874 0.0063867187 6.510417e-06 3.90625e-05 1.953125e-05 5.859375e-05 9.765625e-05 0.0001171875 6.8359375e-05 2.6041667e-05 0.0 0.0 4.8828126e-05 0.006416016 3.2552084e-06 1.953125e-05 2.6041667e-05 0.029160157 0.003515625 1.6276043e-05 1.3020834e-05 4.2317708e-05 2.2786458e-05 3.580729e-05 1.953125e-05 0.00013997396 9.765625e-06 1.6276043e-05 1.953125e-05 2.2786458e-05 9.765625e-06 0.00020507812 8.4635416e-05 0.039847005 0.0034733072 8.138021e-05 5.859375e-05 0.00033854166 0.00020182291 0.000530599 0.0003841146 0.00012044271 8.138021e-05 9.440104e-05 0.00039713542 0.000107421874 6.8359375e-05 0.00019856771 0.00068359374 0.019446615 0.0021419271 4.5572917e-05 3.580729e-05 0.00014322916 9.765625e-05 0.00011393229 5.2083335e-05 0.0001953125 6.184896e-05 8.4635416e-05 7.8125e-05 0.0036002605 4.5572917e-05 8.138021e-05 0.00044270835 0.020865886 0.0006705729 0.00052408857 0.0003125 0.0045670574 0.00024739583 0.0017220052 0.00091145834 9.440104e-05 3.580729e-05 4.5572917e-05 0.00014648438 0.00016276042 6.510417e-05 7.486979e-05 0.009554037 0.02578125 4.5572917e-05 4.8828126e-05 0.00030598958 0.037942708 2.2786458e-05 0.00013346355 1.3020834e-05 8.789063e-05 0.00010416667 3.2552084e-06 6.184896e-05 3.90625e-05 9.765625e-05 0.0039225263 0.044723306 0.06845703 0.0010416667 0.0006770833 0.00059570314 0.059267577 0.00071614585 0.0019986979 0.00095052086 0.0005826823 0.0007421875 0.0005273438 0.0012792968 0.00068359374 0.0006445313 0.011884766 0.09661784 0.03099935 0.00049153646 0.0016341145 0.0035221353 0.011998698 0.0013899739 0.0063639325 0.0033723959 0.0007486979 0.00081054686 0.0005533854 0.00068684894 0.0006347656 0.00059244793 0.0018131511 0.021054687 0.012786458 0.00083984376 0.0011653646 0.0006445313 0.0033789063 0.000546875 0.00071614585 0.00045572917 0.0011621094 0.00036458333 0.00029296876 0.0006575521 0.011731771 0.00030598958 0.0020898439 0.009527995 0.0023242189 3.90625e-05 4.2317708e-05 4.8828126e-05 0.00023111979 0.00052083336 0.001875 0.0009993489 2.9296874e-05 4.5572917e-05 2.6041667e-05 0.00034830728 2.2786458e-05 2.6041667e-05 4.8828126e-05 3.90625e-05 0.009375 0.00039713542 0.00059570314 0.00057942705 0.0010872396 0.00047526043 0.000859375 0.00092122395 0.00047526043 0.00028971353 0.00028971353 0.0005403646 0.00059570314 0.00037434895 0.0007877604 0.002356771 0.0076009114 0.0011783855 0.0005338542 0.00095703127 0.0036914062 0.0028678386 0.0011067708 0.001328125 0.0055891927 0.00020507812 0.0012369792 0.00081705727 0.017138671 0.0009733073 0.0030436197 0.005065104 0.010804037 0.0017154948 0.0011328125 0.0014941406 0.0029882812 0.002548828 0.0019433594 0.00171875 0.0048730467 0.0006315104 0.001110026 0.0019466146 0.011533204 0.0012011719 0.0023209637 0.0053710938 0.0071061198 0.0014225261 0.0011490885 0.0012532552 0.0011653646 0.0009342448 0.0011881511 0.0011979167 0.0014973958 0.0008886719 0.0009342448 0.0011621094 0.0012239583 0.0012792968 0.0011653646 0.0030989584 0.0013411458 0.0018522135 0.0015950521 0.0016927083 0.0011588541 0.0015397136 0.002421875 0.0015332032 0.002001953 0.0013867187 0.0010091146 0.002203776 0.0019921875 0.0018554687 0.0015885417 0.0014941406 222.0 17.35135 3852.0 0.06204569 0.001298027 0.0010384216 0.0005192108 0.0002596054 0.004672897 0.0067497403 0.0049325028 0.001298027 0.0005192108 0.0002596054 0.0002596054 0.0067497403 0.0033748702 0.008307373 0.0015576323 0.0049325028 0.005451713 0.0062305294 0.0075285565 0.005451713 0.002596054 0.008307373 0.0010384216 0.003894081 0.005711319 0.0049325028 0.0049325028 0.008307373 0.005451713 0.005711319 0.005970924 0.0018172378 0.0041536866 0.0031152647 0.004672897 0.005192108 0.0062305294 0.003894081 0.0041536866 0.0018172378 0.005192108 0.0002596054 0.0015576323 0.0036344756 0.0031152647 0.0010384216 0.0010384216 0.005711319 0.0020768433 0.004413292 0.005970924 0.005451713 0.0033748702 0.0015576323 0.008826584 0.001298027 0.0028556595 0.0010384216 0.008566978 0.0018172378 0.0007788162 0.002596054 0.028296988 0.0005192108 0.05244029 0.009086189 0.03167186 0.027518172 0.080996886 0.010384216 0.011682243 0.012720665 0.049065422 0.001298027 0.0062305294 0.032450676 0.017393561 0.04179647 0.046988577 0.013499481 0.0020768433 0.05529595 0.044132918 0.05815161 0.022845276 0.007788162 0.010643821 0.009345794 0.009605399 0.004672897 0.0020768433 0.0005192108 0.0005192108 0.0 0.0007788162 5.471261 1.0 0.0 0.0 4.0 154624.0 241664.0 1.0 0.0 83.0 1.0 1.0 0.0 0.0 0.0 1540185900.0 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 15.0 6.0 0.0 6.0 0.0 23040.0 1024.0 4096.0 9.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -23040.0 -3584.0 114176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4761014 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 1.9759903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.34430248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5113153 -4.4583955 3.1505892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1797.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 8233.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1936.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 -22588.0 -3318.0 113909.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 111160.0 114198.0 122880.0 0.0 0.0 0.0 0.0 1000.0 237568.0 56.0 99568.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 99624.0 0.0 0.0 568.0 110592.0 0.0 0.0 0.0 0.0


Input: 0.18697356 0.0061434964 0.003544325 0.003377533 0.006616073 0.0029049565 0.0015567231 0.0016679176 0.0048925583 0.0016123203 0.0021960915 0.0012092403 0.0037111167 0.0017096156 0.0015428237 0.0021543936 0.005851611 0.0016123203 0.0010285492 0.0012926362 0.0024601785 0.0015706224 0.0012509382 0.0010702471 0.0021543936 0.0010285492 0.0008895561 0.0009868513 0.0017652127 0.0013343341 0.00079226086 0.00095905265 0.006212993 0.001153643 0.0015011259 0.0010007506 0.004072499 0.0027381647 0.00097295194 0.0009451533 0.0018903066 0.0015150252 0.002084897 0.0035721236 0.0015289244 0.0016679176 0.0021960915 0.0009868513 0.005017652 0.002613071 0.0031690435 0.019320045 0.0027798626 0.00141773 0.0014594279 0.001862508 0.003460929 0.0021404943 0.0019876019 0.0028215607 0.0027242654 0.0026825676 0.0018903066 0.0018903066 0.020348595 0.0021126957 0.0017791121 0.0047674645 0.0029049565 0.00789481 0.0019598033 0.00141773 0.0025018763 0.0018486087 0.0012787369 0.0010563479 0.0019459039 0.0021960915 0.0013482334 0.0014872266 0.007005254 0.0019320046 0.0019459039 0.004975954 0.0028215607 0.008923359 0.003377533 0.0025296751 0.0016679176 0.004086398 0.0029466543 0.0037111167 0.0015150252 0.003016151 0.0028493593 0.0024323799 0.0017930114 0.00444778 0.0013621327 0.0027242654 0.007227643 0.00788091 0.014900064 0.0019876019 0.006046201 0.00444778 0.003947405 0.0011675423 0.004378284 0.0017374142 0.00465627 0.0050593503 0.0019320046 0.00086175743 0.0048925583 0.003460929 0.010341089 0.0048925583 0.0019459039 0.0022099908 0.0021126957 0.002793762 0.0010424484 0.0011397437 0.0016540183 0.0017791121 0.0014594279 0.0015289244 0.0035999222 0.0017930114 0.0010007506 0.0057404162 0.0026686683 0.004197593 0.0007644622 0.00079226086 0.0019598033 0.0093820365 0.0015289244 0.029258054 0.001153643 0.005990604 0.00069496565 0.0010424484 0.0024323799 0.00095905265 0.0010146499 0.00066716707 0.0010841464 0.0014733272 0.00086175743 0.0009451533 0.0012648376 0.012940261 0.0010424484 0.00079226086 0.0010563479 0.00086175743 0.0008339588 0.0006254691 0.0025435744 0.0020154004 0.0011397437 0.001195341 0.007394435 0.0012509382 0.0010702471 0.00069496565 0.00141773 0.0010563479 0.0012787369 0.0007227643 0.0011397437 0.0008756567 0.0010146499 0.00091735466 0.0027659633 0.00080616015 0.0017513135 0.0010980457 0.0012509382 0.0018486087 0.0018764073 0.002487977 0.002084897 0.0017652127 0.002126595 0.00097295194 0.0012926362 0.0008895561 0.0010702471 0.00086175743 0.010660773 0.0023211853 0.0027381647 0.010910961 0.0029188558 0.0013482334 0.0027659633 0.0025435744 0.0018903066 0.0017930114 0.0014594279 0.0010980457 0.016025908 0.0019320046 0.0011675423 0.0021682929 0.0015011259 0.0010980457 0.0022516889 0.0013621327 0.0013343341 0.0008756567 0.0015428237 0.0012787369 0.0033080366 0.0011258444 0.0013899313 0.0020987964 0.0017513135 0.0015706224 0.0012231396 0.0015567231 0.0018764073 0.0011814416 0.001111945 0.0010285492 0.0013343341 0.0013482334 0.00095905265 0.00097295194 0.015942512 0.0034331304 0.0011814416 0.004670169 0.003196842 0.0012509382 0.0017235149 0.0015289244 0.0033080366 0.0011258444 0.0015567231 0.0012231396 0.0026547688 0.0010841464 0.00141773 0.0012092403 0.00425319 0.0013899313 0.0013621327 0.0013899313 0.006755066 0.0016123203 0.0021126957 0.1051622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005760303 0.0 0.0 0.0014365376 0.0 0.0 0.0016629868 0.0 0.0 0.0016346807 0.0 0.0 0.0027952332 0.0 0.0 0.015695766 0.029579937 0.0001769135 0.00029013812 0.0026253962 0.00204512 0.00094825635 0.008038949 0.002306952 0.00034675046 0.0028518455 0.00012030118 0.00022644928 0.004444067 0.00016276042 0.00029721466 0.018002717 0.023338428 0.0002689085 0.00043874548 0.0036868772 0.0027386209 0.0014294611 0.011152627 0.0042883833 0.00026183197 0.0016488337 0.00024060236 0.00023352582 0.0024272532 0.00026183197 0.00029721466 0.005257869 0.041617133 0.0005873528 0.0022220335 0.0059796763 0.0012454711 0.003290591 0.0056187725 0.0014789968 0.0018540535 0.0048474297 0.003658571 0.00046705164 0.008237093 0.0012454711 0.00085626135 0.01824332 0.02125085 0.0012030117 0.002030967 0.018391928 0.0013586957 0.0016488337 0.0026253962 0.0018328239 0.0013657722 0.0027032383 0.0040973164 0.0012171648 0.0034958108 0.0012879303 0.0011463994 0.0068076313 0.009921309 0.000615659 0.0006864244 0.00091287366 0.0014789968 0.001231318 0.0026537024 0.0011817821 0.001167629 0.0009411798 0.0004812047 0.0004599751 0.0012525476 0.0003042912 0.0009553329 0.0047412817 0.012617471 0.0017479054 0.0023706409 0.0017549819 0.004932348 0.0038779438 0.0021300386 0.0025192483 0.007508209 0.00043874548 0.00054489356 0.0013657722 0.0047766645 0.0015568387 0.0030075295 0.006821784 0.07165704 0.01171875 0.015950521 0.013006681 0.033408344 0.03405231 0.029643625 0.02047243 0.05008775 0.0039274795 0.00668733 0.011230469 0.026989924 0.010848336 0.026303498 0.054305367 0.012008888 0.00948964 0.009914232 0.009779778 0.009793932 0.009624094 0.010664346 0.010069916 0.009666554 0.009836391 0.0097868545 0.009602864 0.009885926 0.009574559 0.010034533 0.009687783 494.0 13.178138 6510.0 0.03763441 0.000921659 0.0016897081 0.000921659 0.001843318 0.0010752688 0.00076804915 0.00076804915 0.001996928 0.0010752688 0.0016897081 0.005990783 0.0016897081 0.0032258064 0.013824885 0.0033794162 0.013056836 0.0076804915 0.011520738 0.015975423 0.009831029 0.002764977 0.0029185868 0.0049155145 0.010445468 0.007834101 0.0043010754 0.0043010754 0.007373272 0.005222734 0.0061443932 0.0049155145 0.0067588324 0.010291859 0.0032258064 0.011674347 0.0069124424 0.0099846395 0.00875576 0.005222734 0.004761905 0.007987712 0.0006144393 0.001843318 0.0067588324 0.0058371737 0.004608295 0.005222734 0.007834101 0.003993856 0.0062980033 0.010291859 0.012749616 0.03855607 0.004608295 0.005222734 0.001996928 0.0041474653 0.0021505377 0.003686636 0.0033794162 0.0030721966 0.0035330262 0.003686636 0.0024577572 0.041167434 0.006451613 0.021198157 0.023348695 0.07557604 0.006451613 0.013364055 0.013210446 0.041321043 0.0032258064 0.004454685 0.037480798 0.00952381 0.043317974 0.047926266 0.010138249 0.0012288786 0.044700462 0.024270354 0.055913977 0.011520738 0.005222734 0.009677419 0.0075268815 0.015821813 0.004454685 0.00076804915 0.0015360983 0.0013824885 0.0004608295 0.0015360983 5.7410126 2.0 3.0 0.0 1.0 71946.0 81920.0 0.0 0.0 13.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 35840.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.61999 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.318075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4844966 0.0 0.0 0.0 0.0 0.0 0.0 -4.634606 3.0982454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 1977.0 0.0 0.0 0.0 0.0 0.0 -224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35336.0 0.0 0.0 0.0 0.0 0.0 0.0 -3092.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3092.0 49152.0 15872.0 65536.0 0.0 0.0 0.0 0.0 2556.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0