Input: 0.4827630817890167 0.011315770447254181 0.008739057928323746 0.008691994473338127 0.02093726396560669 0.005429922603070736 0.002470820676535368 0.004703383892774582 0.0205078125 0.0016354480758309364 0.003520919708535075 0.00565347308292985 0.008491975255310535 0.0029267461504787207 0.0012089372612535954 0.0011001034872606397 0.005312264896929264 0.0019354763207957149 0.0025296497624367476 0.0022678605746477842 0.005397567059844732 0.0006647684494964778 0.0006941829924471676 0.0003617987676989287 0.002782614901661873 0.000991269713267684 0.001026567188091576 0.0059387944638729095 0.004571018274873495 0.0006294710328802466 0.0023649283684790134 0.00034415003028698266 0.005459337495267391 0.0004941641818732023 0.00047945688129402697 0.001479550963267684 0.0034532661084085703 0.0013265954330563545 0.0003147355164401233 0.0008912603370845318 0.0033973786048591137 0.000764777883887291 0.0010706890607252717 0.0038709526415914297 0.002635542070493102 0.0005088713951408863 0.0006559441098943353 0.001641330891288817 0.0030179310124367476 0.001432487741112709 0.0027590831741690636 0.001479550963267684 0.0032944276463240385 0.0014383706729859114 0.0012148201931267977 0.0004559252702165395 0.0022325629834085703 0.00028237950755283237 0.0012412932701408863 0.0003676816704683006 0.004197454079985619 0.000879494531545788 0.0005441688699647784 0.0006382953724823892 0.01491610985249281 0.005412274040281773 0.0025237668305635452 0.005741716828197241 0.004971056245267391 0.000944206491112709 0.0009736210340633988 0.0012765907449647784 0.003206184133887291 0.0010030355770140886 0.00047945688129402697 0.0005118128610774875 0.003370905527845025 0.0013560099760070443 0.003009106731042266 0.000814782571978867 0.005582878366112709 0.0002206089993705973 0.0010853962739929557 0.0012824736768379807 0.005435805767774582 0.0006559441098943353 0.0005471103359013796 0.0004706325416918844 0.007350692059844732 0.0006147637614049017 0.0002353162708459422 0.00022355045075528324 0.0014824924292042851 0.000585349218454212 0.002282567787915468 0.0012589420657604933 0.0021854997612535954 0.002050193026661873 0.000764777883887291 0.001138342428021133 0.002653190866112709 0.0028414439875632524 0.0015589703107252717 0.0006000564899295568 0.004526896867901087 0.0013942489167675376 0.0009471479570493102 0.004668086301535368 0.010233315639197826 0.0014560193521901965 0.002506118267774582 0.0019884223584085703 0.008989081718027592 0.001288356608711183 0.0020119540859013796 0.0011030449531972408 0.007347750477492809 0.001626623678021133 0.0017354574520140886 0.00025296499370597303 0.004623964428901672 0.00045004236744716763 0.002488469472154975 7.94192383182235e-05 0.0005147543270140886 0.000158838476636447 0.00027061370201408863 0.001970773795619607 0.003047345671802759 0.00015295557386707515 0.0003617987676989287 0.0001735457481117919 0.0006441783043555915 0.00025590643053874373 0.0001970773737411946 7.647778693353757e-05 0.000879494531545788 0.0009971526451408863 0.0010677475947886705 0.00025296499370597303 0.0007030073320493102 0.00018531155365053564 0.0007353633409366012 0.00042945219320245087 0.0007559534860774875 0.00020296027651056647 0.00019119447097182274 0.0026973127387464046 0.0012942394241690636 0.00029414534219540656 0.00022649190213996917 0.00015589702525176108 0.0037444699555635452 0.0009059676085598767 0.0004000376502517611 0.00019119447097182274 0.0008530214545316994 0.00020296027651056647 0.00013530685100704432 0.00016766284534242004 0.0007206560694612563 0.0006059393635950983 0.0003529743989929557 7.94192383182235e-05 0.0005971150239929557 8.236068970290944e-05 0.0002617893333081156 0.00012059958680765703 0.0005176957929506898 0.00039121328154578805 0.00038827184471301734 0.00027061370201408863 0.00048533978406339884 0.0005677004810422659 0.0002764966047834605 0.0002117846452165395 0.0010530402651056647 0.0001735457481117919 0.00019119447097182274 0.0003147355164401233 0.0005235786666162312 9.118505113292485e-05 0.00023237480490934104 0.0003059111477341503 0.001561911660246551 0.001055981731042266 0.0014530778862535954 0.0001176581354229711 0.0006912415265105665 0.00013824830239173025 0.00019119447097182274 0.00012942394823767245 0.002014895435422659 0.0004912227159366012 0.00017060429672710598 0.0009589137625880539 0.0009147920063696802 0.0002912038762588054 0.000667709915433079 0.00042945219320245087 0.0006088808295316994 0.0001176581354229711 0.00016177992802113295 0.0004588667070493102 0.0006294710328802466 0.00014118975377641618 0.00013530685100704432 0.0003235598560422659 0.001514848438091576 0.00026473079924471676 0.0009795039659366012 0.0001823701022658497 0.0007030073320493102 0.00019119447097182274 0.00015295557386707515 0.0001029508639476262 0.0006912415265105665 0.00011471667676232755 0.00032944275881163776 0.00026473079924471676 0.000617705169133842 7.647778693353757e-05 0.0002353162708459422 0.00017942865088116378 0.0016236822120845318 0.0010177427902817726 8.530214836355299e-05 0.00012942394823767245 0.0027914391830563545 0.00017648719949647784 0.00028826241032220423 0.001676628366112709 0.0007206560694612563 0.00010883377399295568 0.0007441876805387437 0.0007235975353978574 0.0008677287260070443 0.00015589702525176108 0.00012059958680765703 0.0004088620189577341 0.0010824548080563545 0.00011177522537764162 0.00022355045075528324 0.0005265201325528324 0.010036238469183445 0.005226962734013796 0.0006088808295316994 0.000244140625 0.0015648531261831522 0.00025002352776937187 0.00018531155365053564 0.0017442818498238921 0.0036591680254787207 0.0031708867754787207 0.007880153134465218 0.06191759184002876 0.2145015150308609 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005469930358231068 3.5404078516876325e-05 2.9503398764063604e-05 1.6226869774982333e-05 3.0978568247519433e-05 1.1801359505625442e-05 5.605645856121555e-05 2.8028229280607775e-05 2.6553059797151946e-05 4.425509814609541e-06 1.4751699382031802e-06 1.0326190022169612e-05 2.0652380044339225e-05 2.9503398764063604e-06 4.425509814609541e-06 0.000293558812700212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009775951504707336 0.0001652190403547138 0.0001312901295023039 0.00010326189658371732 0.000194722437299788 0.0001312901295023039 0.0002537292311899364 0.00013571562885772437 0.00024635338922962546 3.2453739549964666e-05 8.851019629219081e-06 2.9503398764063604e-05 8.555985550628975e-05 2.2127549527795054e-05 4.2779927753144875e-05 0.0007257835823111236 0.0024001013953238726 0.00011653842375380918 9.7361218649894e-05 2.6553059797151946e-05 0.0001121129171224311 3.9829588786233217e-05 1.0326190022169612e-05 2.2127549527795054e-05 4.5730266720056534e-05 2.0652380044339225e-05 1.3276529898575973e-05 5.900679752812721e-06 2.9503398764063604e-06 2.0652380044339225e-05 2.9503398764063604e-06 8.408468420384452e-05 0.015651553869247437 0.000877726124599576 0.0011019519297406077 0.000340764265274629 0.0008437972282990813 0.00014456665667239577 0.000441075797425583 0.00027880712877959013 0.00015341766993515193 9.883638267638162e-05 5.163094829185866e-05 5.0155776989413425e-05 4.5730266720056534e-05 4.5730266720056534e-05 4.8680609324947e-05 0.00097361218649894 0.012320619076490402 0.0006903795292600989 0.0010001652408391237 0.00033486358006484807 0.0006033445242792368 0.00016816936840768903 0.0007449607946909964 0.0005222101463004947 0.00019324726599734277 4.5730266720056534e-05 4.8680609324947e-05 8.851019811118022e-05 0.00015341766993515193 8.113434887491167e-05 7.670883496757597e-05 0.0010547465644776821 0.030252784490585327 0.001368957688100636 0.003246848937124014 0.0014486168511211872 0.0035772870760411024 0.001463368535041809 0.002819049870595336 0.0016212117625400424 0.00042484895675443113 0.0006402237340807915 0.00028913331334479153 0.00029798434115946293 0.0003024098405148834 0.00026110507315024734 0.00034814010723493993 0.0029975452926009893 0.051437702029943466 0.0038693707901984453 0.0036598965525627136 0.002349945716559887 0.0058387224562466145 0.00244730687700212 0.005453703459352255 0.004542048089206219 0.0012288165744394064 0.001166859408840537 0.0006003941525705159 0.0008600240689702332 0.0007169325836002827 0.0007567621651105583 0.0011152285151183605 0.00761187681928277 0.10031745582818985 0.01144436839967966 0.007523366715759039 0.006878717336803675 0.01042797602713108 0.00637125875800848 0.01110507920384407 0.011488623917102814 0.0033722384832799435 0.002438455820083618 0.0013276529498398304 0.0018852672073990107 0.0022245561704039574 0.0013350287918001413 0.003115558996796608 0.03324590623378754 0.12555761635303497 0.01580054499208927 0.010163920931518078 0.012013783678412437 0.019298173487186432 0.016566159203648567 0.01680661179125309 0.01416015625 0.0032852033618837595 0.006964277476072311 0.002336669247597456 0.0022850381210446358 0.003327983431518078 0.0021330956369638443 0.004875436425209045 0.04654013738036156 0.01713704876601696 0.0026036750059574842 0.0011196539271622896 0.0016138359205797315 0.006738576106727123 0.0015887580811977386 0.003305855905637145 0.0017407005652785301 0.0009072294924408197 0.0006594009464606643 0.0010326189221814275 0.0016861192416399717 0.0012878233101218939 0.0013232274213805795 0.0013276529498398304 0.004266191273927689 0.004286843817681074 0.0009249315480701625 0.00042632411350496113 0.00042189861414954066 0.0029665667098015547 0.0004587778530549258 0.000585642468649894 0.00045582751045003533 0.00028028228553012013 0.0003805938467849046 0.00023602719011250883 0.0010399947641417384 0.00036436697700992227 0.0006357982638292015 0.0007125070551410317 0.0009293570765294135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 566.0 11.060070991516113 6260.0 0.00958466436713934 0.000638977624475956 0.000159744406118989 0.0019169328734278679 0.00047923321835696697 0.0 0.002555910497903824 0.0 0.014057507738471031 0.0 0.000159744406118989 0.000319488812237978 0.00047923321835696697 0.0 0.005431309808045626 0.001437699655070901 0.003514376934617758 0.001437699655070901 0.003514376934617758 0.002076677279546857 0.000638977624475956 0.000159744406118989 0.0019169328734278679 0.000319488812237978 0.000798722030594945 0.000319488812237978 0.0009584664367139339 0.000159744406118989 0.0 0.0 0.0 0.0 0.000159744406118989 0.011821086518466473 0.021884983405470848 0.028594249859452248 0.030351437628269196 0.007188498508185148 0.009744408540427685 0.0335463248193264 0.002715654904022813 0.01325878594070673 0.000319488812237978 0.003993610385805368 0.010702875442802906 0.018530352041125298 0.007827475666999817 0.008146964944899082 0.011022363789379597 0.00047923321835696697 0.008466453291475773 0.030670925974845886 0.012460064142942429 0.002555910497903824 0.007188498508185148 0.003514376934617758 0.022044727578759193 0.000319488812237978 0.0 0.000319488812237978 0.003674121340736747 0.0 0.0 0.03386581316590309 0.000159744406118989 0.04169329255819321 0.009424920193850994 0.01980830729007721 0.024600638076663017 0.09201277792453766 0.005431309808045626 0.01325878594070673 0.004153354559093714 0.030990416184067726 0.00047923321835696697 0.004472843371331692 0.030670925974845886 0.026996804401278496 0.04632587730884552 0.04808306694030762 0.011661341413855553 0.000798722030594945 0.04361022263765335 0.025718849152326584 0.06469648331403732 0.01948881708085537 0.007028753869235516 0.005111820995807648 0.014696485362946987 0.0076677314937114716 0.0019169328734278679 0.0 0.000159744406118989 0.0 0.0 0.00047923321835696697 5.333232402801514 6.0 0.0 0.0 1.0 339968.0 290816.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1202923008.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 262144.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -262144.0 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 -5.3799238204956055 0.0 3.054563045501709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -259724.0 0.0 2300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40.0 263300.0 2300.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 320.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.07610739767551422 0.020370060577988625 0.012949359603226185 0.01654702238738537 0.011711184866726398 0.014337785542011261 0.009885921142995358 0.013091263361275196 0.010779076255857944 0.012231497094035149 0.008500277996063232 0.01188647747039795 0.008411240763962269 0.010712298564612865 0.007448525168001652 0.012440177612006664 0.008316638879477978 0.009732888080179691 0.006864218041300774 0.009819143451750278 0.013336115516722202 0.010937673971056938 0.0064913746900856495 0.009009459987282753 0.006661101710051298 0.008539232425391674 0.005728992633521557 0.00820812489837408 0.006168614141643047 0.008121869526803493 0.005737340077757835 0.00789371132850647 0.007598775904625654 0.008809125982224941 0.005965498276054859 0.007323316764086485 0.00619922112673521 0.007367835380136967 0.004885920789092779 0.006658319383859634 0.004969393368810415 0.006766833830624819 0.004540901631116867 0.006772398483008146 0.004838619846850634 0.006285475566983223 0.004552030935883522 0.006082359701395035 0.004596550017595291 0.006065664812922478 0.004460211377590895 0.007008903659880161 0.004229270853102207 0.006716750096529722 0.0038898163475096226 0.005765164270997047 0.004170840140432119 0.005854201503098011 0.00420701177790761 0.006474679801613092 0.00398163590580225 0.005331107415258884 0.0037979965563863516 0.005125208757817745 0.004259877372533083 0.0051085143350064754 0.003480801358819008 0.0054257092997431755 0.0038981635589152575 0.008269337937235832 0.00398163590580225 0.005033389199525118 0.0035197550896555185 0.004738452844321728 0.0031051752157509327 0.004471341148018837 0.003441847627982497 0.005075125023722649 0.0033472455106675625 0.004348915070295334 0.005247634835541248 0.00419031735509634 0.0031469115056097507 0.005851419176906347 0.003408458549529314 0.005111296661198139 0.003781302133575082 0.005417362321168184 0.003102392889559269 0.004771842155605555 0.002737896516919136 0.0038536449428647757 0.002960489597171545 0.004415692761540413 0.003082915907725692 0.003923205193132162 0.002757373498752713 0.004588202573359013 0.0025013911072164774 0.004023372195661068 0.00333611574023962 0.005397885572165251 0.0028937116730958223 0.0035141902044415474 0.004401780664920807 0.004165275488048792 0.004015025217086077 0.0032136894296854734 0.0033416806254535913 0.0034974957816302776 0.003158041276037693 0.004106844775378704 0.003016137983649969 0.0030495270621031523 0.003361157374456525 0.003939899615943432 0.005592654459178448 0.006352253723889589 0.002404006663709879 0.0031719531398266554 0.002086811466142535 0.0030050084460526705 0.0018697829218581319 0.0027212020941078663 0.002754590939730406 0.0035698385909199715 0.002109070774167776 0.002676683245226741 0.003046744503080845 0.002765720710158348 0.0018030049977824092 0.005072342697530985 0.0026210350915789604 0.00415414571762085 0.0017084028804674745 0.002303839661180973 0.0021591540426015854 0.004095715004950762 0.0022787980269640684 0.006068447604775429 0.0016666667070239782 0.0038480800576508045 0.0015247635310515761 0.0021869782358407974 0.0016583193792030215 0.0019504730589687824 0.0014079021057114005 0.0018781302496790886 0.0016666667070239782 0.002089593792334199 0.0013800779124721885 0.002039510291069746 0.0013439065078273416 0.001989426789805293 0.001304952660575509 0.0017584863817319274 0.0012771285837516189 0.0018363939598202705 0.001254869275726378 0.0016944907838478684 0.0017139677656814456 0.0019643851555883884 0.001163049484603107 0.0021869782358407974 0.0012938230065628886 0.0015664997044950724 0.00112687807995826 0.0016722314758226275 0.0011574847158044577 0.0015664997044950724 0.00101279909722507 0.0016416249563917518 0.0011658319272100925 0.00132721196860075 0.001062882598489523 0.0014106844319030643 0.0012075682170689106 0.0013633833732455969 0.0008681135368533432 0.0013578186044469476 0.0011240957537665963 0.0013800779124721885 0.001419031759724021 0.0013995547778904438 0.0009543683845549822 0.001054535387083888 0.0008514190558344126 0.0012242626398801804 0.0009209794225171208 0.00112687807995826 0.0009015024988912046 0.0011296605225652456 0.002609905321151018 0.001547022839076817 0.000990539789199829 0.0017306621884927154 0.001633277628570795 0.0009933222318068147 0.001204785774461925 0.001505286549217999 0.0009738453081808984 0.0013355592964217067 0.0007456872845068574 0.0009961046744138002 0.0006900389562360942 0.0008041179971769452 0.0006483027245849371 0.0008319421322084963 0.002851975616067648 0.004788536578416824 0.00069838622584939 0.0008124652085825801 0.000684474129229784 0.0006622148212045431 0.0012437396217137575 0.0007679465925320983 0.0007902059005573392 0.0006622148212045431 0.00041179743129760027 0.0008152476511895657 0.0006371730705723166 0.0006288258009590209 0.0004006677772849798 0.0005843071849085391 0.0009404562879353762 0.0005481357802636921 0.00038953812327235937 0.0005731775308959186 0.0005676127038896084 0.00043683918192982674 0.00031719531398266554 0.00038953812327235937 0.0022593210451304913 0.0010072343284264207 0.00026154701481573284 0.001405119663104415 0.0010294936364516616 0.00040345019078813493 0.00027545911143533885 0.0003088480734732002 0.0008235948625952005 0.0003088480734732002 0.0002504173608031124 0.0003227601700928062 0.0008152476511895657 0.00024485253379680216 0.0006510851671919227 0.00045909848995506763 0.001555370050482452 0.0006427378975786269 0.0002865887654479593 0.00038675570976920426 0.000834724516607821 0.0004479688359424472 0.0005147468182258308 0.011143572628498077 0.017191976308822632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002658264711499214 5.596346909442218e-06 9.793606295716017e-06 2.378447425144259e-05 2.6582647478790022e-05 3.6376251955516636e-05 6.155981100164354e-05 3.35780787281692e-05 0.0 0.0 0.0 0.0 1.3990867273605545e-06 1.3990867273605545e-06 1.3990867273605545e-06 5.596346909442218e-06 0.005137446336448193 0.00013571140880230814 3.917442518286407e-05 3.6376251955516636e-05 5.456438157125376e-05 5.7362554798601195e-05 9.373881039209664e-05 6.575707084266469e-05 2.6582647478790022e-05 9.793606295716017e-06 1.2591780432558153e-05 1.1192693818884436e-05 1.67890393640846e-05 1.2591780432558153e-05 8.3945196820423e-06 1.2591780432558153e-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 0.013288524933159351 0.00019307396723888814 0.0006771579501219094 0.0002686246298253536 0.00023364747175946832 0.0003036018169950694 0.0017208766657859087 0.0017516565276309848 0.0005470428732223809 0.00024344108533114195 0.00017628492787480354 0.00011472510959720239 8.674337732372805e-05 0.0001427068345947191 0.00011612419621087611 0.00019307396723888814 0.009531977586448193 0.00021126208594068885 0.0011626409832388163 0.0005316529422998428 0.0009877552511170506 0.0007974794134497643 0.004243429750204086 0.00234906654804945 4.756894850288518e-05 3.497716534184292e-05 3.35780787281692e-05 3.497716534184292e-05 1.5389952750410885e-05 2.5183560865116306e-05 4.19725984102115e-06 4.616986188921146e-05 0.006031462457031012 0.0001902757940115407 0.0008072730270214379 0.0005372492596507072 0.0006757588707841933 0.0005736255552619696 0.0031171650625765324 0.0017964272992685437 9.233972377842292e-05 6.295889761531726e-05 6.295889761531726e-05 4.8968035116558895e-05 6.016072802594863e-05 8.394520409638062e-05 5.456438157125376e-05 0.00013151414168532938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012437880504876375 0.0006631670985370874 0.00043511594412848353 0.00037635432090610266 0.00012871596845798194 0.000141307755257003 0.0003805515880230814 0.00018048218043986708 0.00012871596845798194 8.25461174827069e-05 0.00023504656564909965 7.55506771383807e-05 0.00010493150330148637 0.0007541077211499214 0.00021266117983032018 0.0005876164068467915 0.18638493120670319 0.11798498034477234 0.09110012650489807 0.07499104738235474 0.06411034613847733 0.05365917086601257 0.044394418597221375 0.03900373727083206 0.03563893586397171 0.025380831211805344 0.020917745307087898 0.01669110357761383 0.014053825289011002 0.009238169528543949 0.006311280187219381 0.005296942312270403 0.014999608509242535 0.011855860240757465 0.005288547836244106 0.004828248172998428 0.005175221711397171 0.009337504394352436 0.004796069115400314 0.006405018735677004 0.01069182064384222 0.0006939470185898244 0.0014984218869358301 0.001266173436306417 0.004762491211295128 0.006877909880131483 0.00430219154804945 0.013238158077001572 0.0003175926685798913 0.0003903451724909246 0.0001734867546474561 0.00012311962200328708 0.0001664913143031299 0.00013990866136737168 0.00011052784975618124 0.00015529862139374018 0.00023224839242175221 1.67890393640846e-05 7.974793697940186e-05 5.176620834390633e-05 0.0001594958739588037 0.0003539689350873232 0.00013011506234761328 0.0002644273918122053 3586.0 6.544339179992676 23468.0 0.01700187474489212 0.016405317932367325 0.011547639034688473 0.014317368157207966 0.011462416499853134 0.016107039526104927 0.012016362510621548 0.016831429675221443 0.011164138093590736 0.015041759237647057 0.010226692073047161 0.015893982723355293 0.009544911794364452 0.014743480831384659 0.011334583163261414 0.015467870980501175 0.009672746062278748 0.014104312285780907 0.010226692073047161 0.014232145622372627 0.010865859687328339 0.012868586927652359 0.008053519763052464 0.012698141857981682 0.009544911794364452 0.014104312285780907 0.009971024468541145 0.013465143740177155 0.009587523527443409 0.011291972361505032 0.007840463891625404 0.012016362510621548 0.008692688308656216 0.01372081134468317 0.008607465773820877 0.013678200542926788 0.008948354981839657 0.014317368157207966 0.00877790991216898 0.011760695837438107 0.008905744180083275 0.010397136211395264 0.007414351683109999 0.010269302874803543 0.008266575634479523 0.010738026350736618 0.008010908029973507 0.010780637152493 0.008522243238985538 0.008990966714918613 0.008479631505906582 0.013806033879518509 0.00971535686403513 0.009885801933705807 0.007201295346021652 0.01299642026424408 0.007670018821954727 0.00937446765601635 0.00639168219640851 0.00822396483272314 0.007158684078603983 0.0077126300893723965 0.0060934037901461124 0.008948354981839657 0.006988239474594593 0.013891256414353848 0.006562127266079187 0.011973751708865166 0.009885801933705807 0.025225838646292686 0.006519515998661518 0.007925686426460743 0.008990966714918613 0.012825976125895977 0.0056246803142130375 0.007670018821954727 0.011334583163261414 0.01043974794447422 0.011888529174029827 0.013252087868750095 0.009076189249753952 0.005922958720475435 0.014700869098305702 0.012570308521389961 0.01742798648774624 0.010226692073047161 0.004602011293172836 0.006306459661573172 0.005411624442785978 0.008479631505906582 0.0039628432132303715 0.005667291581630707 0.004261121619492769 0.0064342934638261795 0.004346344154328108 0.005496846977621317 6.502980709075928 1.0 0.0 0.0 8.0 359400.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5147790908813477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557199001312256 0.0 2.289703369140625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.18580834567546844 0.015215801075100899 0.006876371800899506 0.005852231290191412 0.01506949495524168 0.0030724212992936373 0.004681785125285387 0.004681785125285387 0.014045354910194874 0.002487198216840625 0.0026335041038691998 0.002926115645095706 0.007022677455097437 0.002779809758067131 0.0032187271863222122 0.005852231290191412 0.010095098987221718 0.0021945866756141186 0.001463057822547853 0.0013167520519345999 0.0030724212992936373 0.00804681796580553 0.0008778346818871796 0.0016093635931611061 0.0033650328405201435 0.0008778346818871796 0.0010241405107080936 0.0010241405107080936 0.002779809758067131 0.0007315289112739265 0.0007315289112739265 0.0016093635931611061 0.0035113387275487185 0.0004389173409435898 0.0002926115703303367 0.0010241405107080936 0.007607900537550449 0.0007315289112739265 0.003950255922973156 0.0011704462813213468 0.0016093635931611061 0.0002926115703303367 0.0002926115703303367 0.0021945866756141186 0.0010241405107080936 0.0004389173409435898 0.0011704462813213468 0.0002926115703303367 0.0017556693637743592 0.0002926115703303367 0.0011704462813213468 0.008632040582597256 0.0016093635931611061 0.0002926115703303367 0.0004389173409435898 0.0008778346818871796 0.0013167520519345999 0.0026335041038691998 0.0002926115703303367 0.004681785125285387 0.0008778346818871796 0.0010241405107080936 0.0002926115703303367 0.0007315289112739265 0.005705925170332193 0.01755669340491295 0.0010241405107080936 0.0007315289112739265 0.0032187271863222122 0.009509875439107418 0.0013167520519345999 0.0007315289112739265 0.001463057822547853 0.0008778346818871796 0.0007315289112739265 0.0005852231406606734 0.0035113387275487185 0.011411850340664387 0.0016093635931611061 0.002926115645095706 0.016678858548402786 0.002779809758067131 0.002487198216840625 0.007607900537550449 0.0008778346818871796 0.006876371800899506 0.0099487928673625 0.006730065681040287 0.0013167520519345999 0.005413313861936331 0.0005852231406606734 0.0026335041038691998 0.001463057822547853 0.008339429274201393 0.006291148718446493 0.003950255922973156 0.004828090779483318 0.005852231290191412 0.0002926115703303367 0.0005852231406606734 0.0016093635931611061 0.0011704462813213468 0.0008778346818871796 0.0004389173409435898 0.007754206191748381 0.0007315289112739265 0.0061448425985872746 0.0 0.001463057822547853 0.0008778346818871796 0.0011704462813213468 0.0007315289112739265 0.0023408925626426935 0.0013167520519345999 0.0021945866756141186 0.0016093635931611061 0.011997073888778687 0.012435991317033768 0.0005852231406606734 0.0023408925626426935 0.002926115645095706 0.0016093635931611061 0.00014630578516516834 0.0008778346818871796 0.0021945866756141186 0.002779809758067131 0.0017556693637743592 0.0021945866756141186 0.0032187271863222122 0.0023408925626426935 0.0004389173409435898 0.01609363593161106 0.002926115645095706 0.01506949495524168 0.00014630578516516834 0.0 0.0005852231406606734 0.014337966218590736 0.001463057822547853 0.04140453413128853 0.0013167520519345999 0.025749817490577698 0.0002926115703303367 0.0 0.0008778346818871796 0.0002926115703303367 0.0 0.0002926115703303367 0.0013167520519345999 0.0005852231406606734 0.0004389173409435898 0.0002926115703303367 0.0007315289112739265 0.00014630578516516834 0.0 0.0 0.0004389173409435898 0.0004389173409435898 0.0 0.0007315289112739265 0.0004389173409435898 0.0011704462813213468 0.0007315289112739265 0.0005852231406606734 0.0004389173409435898 0.0002926115703303367 0.0 0.00014630578516516834 0.0008778346818871796 0.00014630578516516834 0.0002926115703303367 0.0005852231406606734 0.0 0.0002926115703303367 0.00014630578516516834 0.0002926115703303367 0.0002926115703303367 0.00014630578516516834 0.00014630578516516834 0.0008778346818871796 0.0008778346818871796 0.0007315289112739265 0.00014630578516516834 0.0017556693637743592 0.0038039502687752247 0.0011704462813213468 0.0005852231406606734 0.0002926115703303367 0.0007315289112739265 0.0010241405107080936 0.0004389173409435898 0.0007315289112739265 0.012289685197174549 0.0026335041038691998 0.004096562042832375 0.005852231290191412 0.0032187271863222122 0.0005852231406606734 0.002779809758067131 0.0033650328405201435 0.0026335041038691998 0.0016093635931611061 0.0002926115703303367 0.0011704462813213468 0.0026335041038691998 0.0008778346818871796 0.002926115645095706 0.0021945866756141186 0.0019019751343876123 0.00014630578516516834 0.0016093635931611061 0.0002926115703303367 0.0002926115703303367 0.0 0.0008778346818871796 0.0004389173409435898 0.001463057822547853 0.0010241405107080936 0.0002926115703303367 0.0032187271863222122 0.0010241405107080936 0.0002926115703303367 0.0004389173409435898 0.00014630578516516834 0.0010241405107080936 0.0002926115703303367 0.005705925170332193 0.00014630578516516834 0.0019019751343876123 0.002926115645095706 0.0004389173409435898 0.0007315289112739265 0.031894661486148834 0.0017556693637743592 0.0005852231406606734 0.005413313861936331 0.010241404175758362 0.0005852231406606734 0.0010241405107080936 0.0007315289112739265 0.007754206191748381 0.0019019751343876123 0.0007315289112739265 0.00014630578516516834 0.005559619516134262 0.0002926115703303367 0.0038039502687752247 0.0013167520519345999 0.00819312408566475 0.0032187271863222122 0.0007315289112739265 0.0013167520519345999 0.008485735394060612 0.0038039502687752247 0.0030724212992936373 0.06276518106460571 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09394530951976776 0.006542968563735485 0.0067382813431322575 0.0029296875 0.01162109337747097 0.01123046875 0.009765625 0.00937500037252903 0.01162109337747097 0.0013671874767169356 0.00146484375 0.0026367187965661287 0.00830078125 0.001953125 0.00869140587747097 0.01181640662252903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12109375 0.02783203125 0.013867187313735485 0.01904296875 0.04130859300494194 0.05673827975988388 0.01875000074505806 0.0283203125 0.09033203125 0.0038085938431322575 0.0037109374534338713 0.008496093563735485 0.02656250074505806 0.009765625 0.04384765774011612 0.08652343600988388 0.04179687425494194 0.011035156436264515 0.0062500000931322575 0.006152343936264515 0.01621093787252903 0.01669921912252903 0.0078125 0.012402343563735485 0.02607421949505806 0.0012695312034338713 0.00146484375 0.0030273436568677425 0.012890624813735485 0.0021484375465661287 0.014355468563735485 0.02041015587747097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17.0 7.588235378265381 129.0 0.05426356568932533 0.007751937955617905 0.0 0.007751937955617905 0.023255813866853714 0.0 0.01550387591123581 0.0 0.0 0.0 0.0 0.0 0.01550387591123581 0.0 0.05426356568932533 0.0 0.0 0.0 0.007751937955617905 0.007751937955617905 0.0 0.0 0.0 0.0 0.0 0.007751937955617905 0.0 0.007751937955617905 0.0 0.0 0.0 0.0 0.03875968977808952 0.0 0.0 0.007751937955617905 0.01550387591123581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007751937955617905 0.0 0.0 0.007751937955617905 0.01550387591123581 0.01550387591123581 0.01550387591123581 0.08527132123708725 0.007751937955617905 0.0 0.023255813866853714 0.007751937955617905 0.0 0.007751937955617905 0.0 0.007751937955617905 0.01550387591123581 0.007751937955617905 0.007751937955617905 0.007751937955617905 0.007751937955617905 0.04651162773370743 0.007751937955617905 0.03100775182247162 0.03100775182247162 0.03100775182247162 0.007751937955617905 0.01550387591123581 0.01550387591123581 0.03100775182247162 0.01550387591123581 0.0 0.007751937955617905 0.01550387591123581 0.03100775182247162 0.03100775182247162 0.007751937955617905 0.0 0.05426356568932533 0.023255813866853714 0.05426356568932533 0.01550387591123581 0.0 0.0 0.007751937955617905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.227941989898682 0.0 0.0 0.0 1.0 6835.0 1130496.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1525819520.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 991232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.428470134735107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 991116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 991116.0 131072.0 0.0 0.0 19288.0 1111552.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.1404811590909958 0.00688875513151288 0.00516937579959631 0.003861299017444253 0.004688398912549019 0.003739930922165513 0.0031555667519569397 0.002906088251620531 0.004967095796018839 0.002984752645716071 0.0029038407374173403 0.0026948179583996534 0.004151233471930027 0.0037241980899125338 0.003398302709683776 0.005902078468352556 0.005971752572804689 0.008565430529415607 0.005232307128608227 0.006165042519569397 0.005239049904048443 0.0051828608848154545 0.0044816238805651665 0.004429930355399847 0.004701884463429451 0.008981228806078434 0.004670418798923492 0.004506347235292196 0.004492861684411764 0.004268106073141098 0.004445663187652826 0.005982990376651287 0.006311133503913879 0.0038568037562072277 0.004007389768958092 0.003389312420040369 0.003924230579286814 0.003214003052562475 0.003029703628271818 0.0031128632836043835 0.0034207780845463276 0.00331289554014802 0.003501690225675702 0.003258954267948866 0.0029465442057698965 0.0029442966915667057 0.0028498992323875427 0.002908335765823722 0.004638952668756247 0.0026745900977402925 0.0027644922956824303 0.003580354619771242 0.002906088251620531 0.0027779776137322187 0.0025891829282045364 0.002506023505702615 0.002768987324088812 0.0026678473223000765 0.0025779451243579388 0.0032184983137995005 0.002775730099529028 0.0024723100941628218 0.00246781506575644 0.0028139385394752026 0.004384979140013456 0.003969181329011917 0.004144490696489811 0.0027532544918358326 0.003441006178036332 0.003910745028406382 0.0026948179583996534 0.0025959257036447525 0.003476967103779316 0.0027532544918358326 0.0022632875479757786 0.0022610400337725878 0.0027307788841426373 0.003353351494297385 0.0025779451243579388 0.0024745576083660126 0.003825338091701269 0.002555469749495387 0.002445339458063245 0.002874622354283929 0.00662579108029604 0.0027465117163956165 0.0029128307942301035 0.0027734823524951935 0.0021778803784400225 0.0030454364605247974 0.0020812356378883123 0.002252049744129181 0.0022655350621789694 0.0028858601581305265 0.002897097961977124 0.0029555342625826597 0.0028049482498317957 0.002838661428540945 0.0021014634985476732 0.0070528266951441765 0.0029308113735169172 0.003791624680161476 0.002800453221425414 0.0022183365654200315 0.0028161860536783934 0.002838661428540945 0.0031038729939609766 0.0022453072015196085 0.0028229285962879658 0.0021486622281372547 0.004845727700740099 0.004009637515991926 0.004400711972266436 0.0038051099982112646 0.005270515568554401 0.0031600617803633213 0.005549212452024221 0.005832404363900423 0.004211917519569397 0.0042770965956151485 0.004344522953033447 0.002618401078507304 0.00217113783583045 0.0021756328642368317 0.0022880106698721647 0.002609411021694541 0.0030274561140686274 0.004798529203981161 0.004351265728473663 0.002995990449562669 0.0027307788841426373 0.005074978340417147 0.0028409091755747795 0.004110777284950018 0.002094720955938101 0.001989085925742984 0.002697065705433488 0.004142243415117264 0.0025352416560053825 0.011774938553571701 0.0022093462757766247 0.003953448496758938 0.0021149490494281054 0.0021823756396770477 0.002854394493624568 0.0020362844225019217 0.0023958932142704725 0.0022363169118762016 0.0021082062739878893 0.0020789881236851215 0.0019306495087221265 0.0021149490494281054 0.00209247344173491 0.0023194763343781233 0.00209247344173491 0.002207098761573434 0.002119444077834487 0.002200355986133218 0.0020744928624480963 0.0023981407284736633 0.0027307788841426373 0.0023711700923740864 0.0020362844225019217 0.002200355986133218 0.002056512515991926 0.001980095636099577 0.001953125 0.002056512515991926 0.0021846231538802385 0.0021216915920376778 0.002470062579959631 0.00226778257638216 0.0020722453482449055 0.0021059587597846985 0.002112701302394271 0.00232846662402153 0.0022970009595155716 0.001935144537128508 0.0021531572565436363 0.0021149490494281054 0.00209247344173491 0.00223182188346982 0.002742016687989235 0.0025981732178479433 0.002416121307760477 0.002144167199730873 0.002252049744129181 0.0022812678944319487 0.0023262191098183393 0.0023869031574577093 0.0023509422317147255 0.0028498992323875427 0.004883936140686274 0.0029285636264830828 0.0027465117163956165 0.003214003052562475 0.002443091943860054 0.0020992159843444824 0.002582440385594964 0.0028768698684871197 0.0028881076723337173 0.0023981407284736633 0.00232846662402153 0.0024655675515532494 0.007378722075372934 0.0021216915920376778 0.00218911818228662 0.0023936457000672817 0.0027172935660928488 0.002384655410423875 0.0024296066258102655 0.002362180035561323 0.002146414713934064 0.002276772866025567 0.002503775991499424 0.0027779776137322187 0.0026700948365032673 0.0023599322885274887 0.002550974488258362 0.002679085126146674 0.0024857954122126102 0.0024026359897106886 0.002555469749495387 0.0028768698684871197 0.003476967103779316 0.002305991016328335 0.0023981407284736633 0.002382407896220684 0.0030162183102220297 0.0027892154175788164 0.0024768051225692034 0.002555469749495387 0.010248849168419838 0.002978009870275855 0.0023801603820174932 0.003416283056139946 0.0030881401617079973 0.002357684774324298 0.0023936457000672817 0.0026993132196366787 0.00339155993424356 0.0023869031574577093 0.0024768051225692034 0.002494785701856017 0.0026498669758439064 0.0022700303234159946 0.002751006977632642 0.0024498344864696264 0.0034275208599865437 0.0026948179583996534 0.002654362004250288 0.0029105832800269127 0.0039377156645059586 0.002908335765823722 0.007021360564976931 0.04907535761594772 0.004613299388438463 0.0 3.3830110623966902e-06 1.1276703162366175e-06 0.0 0.0 1.1276703162366175e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004377616103738546 0.00013870344264432788 2.931942799477838e-05 1.240437359228963e-05 4.51068126494647e-06 1.691505531198345e-05 1.691505531198345e-05 2.255340632473235e-06 3.3830110623966902e-06 2.255340632473235e-06 5.63835146749625e-06 2.255340632473235e-06 4.51068126494647e-06 2.255340632473235e-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 0.002037700265645981 1.3532044249586761e-05 2.029806637438014e-05 2.142573612218257e-05 2.819175824697595e-05 4.059613274876028e-05 2.2553405869985e-05 6.7660221247933805e-06 3.834078961517662e-05 7.89369187259581e-06 1.3532044249586761e-05 3.721312168636359e-05 1.12767029349925e-05 6.7660221247933805e-06 0.0 3.3830110623966902e-06 0.00564962811768055 0.0007769648800604045 0.00012968208466190845 9.02136252989294e-06 4.961749436915852e-05 3.946846118196845e-05 5.187283386476338e-05 3.38301106239669e-05 1.12767029349925e-05 6.7660221247933805e-06 5.63835146749625e-06 4.51068126494647e-06 5.63835146749625e-06 5.63835146749625e-06 3.3830110623966902e-06 0.00014546947204507887 0.006080398336052895 0.00174112303648144 0.00014546947204507887 1.465971399738919e-05 9.246896661352366e-05 5.0745165935950354e-05 0.00020298066374380141 0.00010712868242990226 1.3532044249586761e-05 1.12767029349925e-05 5.63835146749625e-06 9.02136252989294e-06 6.7660221247933805e-06 1.465971399738919e-05 4.51068126494647e-06 0.0007374964188784361 0.01147066242992878 0.00386339845135808 0.00040370598435401917 0.00010149033187190071 0.00018832094792742282 0.00010712868242990226 0.00021989570814184844 0.00012291606981307268 0.00016012918786145747 4.510681173997e-05 6.653254968114197e-05 0.00011727771197911352 4.285147224436514e-05 3.0447099561570212e-05 2.7064088499173522e-05 0.0015088228974491358 0.0108199967071414 0.00018832094792742282 0.00047813222045078874 0.0002593641693238169 0.0003428117779549211 0.0003529608075041324 0.0016441433690488338 0.0007724541937932372 0.000374386552721262 7.442624337272719e-05 8.23199370643124e-05 0.00010374566772952676 0.00013757578562945127 5.300050543155521e-05 7.329857180593535e-05 0.0004093443276360631 0.010499738156795502 0.001752399723045528 0.000575111887883395 0.0002627471985761076 0.0007059216150082648 0.00030785400304012 0.0011761601781472564 0.000689006585162133 0.0002582365123089403 0.00017140588897746056 0.00013419277092907578 0.00019621463434305042 0.00019846997747663409 0.0002435767964925617 0.00018606560479383916 0.0011186489136889577 0.005676692351698875 0.004282891750335693 0.0011705218348652124 0.0003653651801869273 0.00039919529808685184 0.0003788972389884293 0.0008051565964706242 0.0003980676119681448 0.00012742674152832478 0.00014434180047828704 0.0001432141289114952 3.946846118196845e-05 0.00021200202172622085 4.285147224436514e-05 1.691505531198345e-05 0.001963274087756872 0.006978023797273636 0.004067506641149521 0.00284849526360631 0.0008062842534855008 0.0008671784889884293 0.0005108346813358366 0.0012765227584168315 0.0006371337221935391 0.0003157476894557476 0.00021989570814184844 0.0002221510512754321 0.00011840538354590535 0.0002954496303573251 0.00016012918786145747 8.344760135514662e-05 0.003687481861561537 0.014107155613601208 0.006605892907828093 0.003636736888438463 0.0021561055909842253 0.0018933584215119481 0.0008446250576525927 0.00125284178648144 0.0011536066886037588 0.0010972232557833195 0.0006134526338428259 0.0006630701245740056 0.0006134526338428259 0.00084913574391976 0.0009946052450686693 0.001028435304760933 0.006370209623128176 0.011436832137405872 0.011101914569735527 0.006250676698982716 0.0031811578664928675 0.001511078211478889 0.0012844165321439505 0.001323884935118258 0.0024233635049313307 0.0018505069892853498 0.0006912618991918862 0.0009269450092688203 0.0007859861943870783 0.0008953702636063099 0.0024256189353764057 0.003016518196091056 0.010940657928586006 0.0387873500585556 0.010220075957477093 0.008404526859521866 0.0068810442462563515 0.007493369281291962 0.006160463206470013 0.0077437120489776134 0.01956959068775177 0.010121968574821949 0.0037686743307858706 0.003950228914618492 0.004703512880951166 0.007294899318367243 0.0055109248496592045 0.008116970770061016 0.0198639128357172 0.015219038352370262 0.004960621707141399 0.002474108710885048 0.0030931998044252396 0.0051218788139522076 0.004510681144893169 0.0029556239023804665 0.004049464128911495 0.007720030844211578 0.001109627541154623 0.0014219923177734017 0.0016227175947278738 0.00467306561768055 0.0021256585605442524 0.004456553142517805 0.008388739079236984 0.052590034902095795 0.037509698420763016 0.029388215392827988 0.029098404571413994 0.031176701188087463 0.03279941901564598 0.03275882452726364 0.03072563372552395 0.03584187477827072 0.028480442240834236 0.027493730187416077 0.028888657689094543 0.033457979559898376 0.0286710187792778 0.03409511223435402 0.04051155596971512 1596.0 7.532581329345703 12022.0 0.025536516681313515 0.007902178913354874 0.007818998768925667 0.005822658538818359 0.005822658538818359 0.005739477463066578 0.005739477463066578 0.011063051410019398 0.006737647578120232 0.00640492420643568 0.007902178913354874 0.005074030719697475 0.00465812673792243 0.006072200834751129 0.006737647578120232 0.006488105282187462 0.007153552025556564 0.004242222756147385 0.006238562520593405 0.004907669499516487 0.004907669499516487 0.006072200834751129 0.004824488423764706 0.006321743596345186 0.004491765052080154 0.00440858444198966 0.005406754091382027 0.004907669499516487 0.0059058391489088535 0.0059058391489088535 0.004907669499516487 0.006155381910502911 0.008650806732475758 0.009981700219213963 0.0072367326356470585 0.008983530104160309 0.009482615627348423 0.007153552025556564 0.008318083360791206 0.00906671117991209 0.01938113383948803 0.008733987808227539 0.005406754091382027 0.004159041680395603 0.005489935167133808 0.007403094321489334 0.0066544669680297375 0.006737647578120232 0.010730328038334846 0.004491765052080154 0.006238562520593405 0.010231242515146732 0.008650806732475758 0.006488105282187462 0.008234902285039425 0.008650806732475758 0.005573115777224302 0.0053235734812915325 0.005656296852976084 0.004159041680395603 0.005739477463066578 0.005989020224660635 0.005406754091382027 0.006571285892277956 0.009399434551596642 0.02104475162923336 0.007153552025556564 0.019464315846562386 0.014057560823857784 0.040093161165714264 0.008234902285039425 0.006820828653872013 0.006987190339714289 0.01788388006389141 0.005989020224660635 0.004824488423764706 0.019464315846562386 0.009981700219213963 0.039843618869781494 0.029612377285957336 0.02586923912167549 0.018965231254696846 0.04483446851372719 0.02320745214819908 0.03576776012778282 0.02420562319457531 0.025286974385380745 0.022458825260400772 0.025120612233877182 0.009233072400093079 0.0053235734812915325 0.004491765052080154 0.00465812673792243 0.00440858444198966 0.005074030719697475 0.006987190339714289 6.215311050415039 1.0 0.0 0.0 6.0 444928.0 495616.0 1.0 0.0 106.0 0.0 1.0 0.0 0.0 0.0 1352973952.0 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 1.0 5.0 1.0 111104.0 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 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -111104.0 0.0 273920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.221305847167969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.032577037811279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.864710807800293 0.0 7.449253559112549 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13194.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110751.0 0.0 273920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 129516.0 273920.0 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 119280.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 128144.0 0.0 0.0 436.0 118784.0 0.0 0.0 0.0 0.0


Input: 0.545036792755127 0.008272059261798859 0.008272059261798859 0.008272059261798859 0.007352941203862429 0.0018382353009656072 0.0009191176504828036 0.0018382353009656072 0.007352941203862429 0.0009191176504828036 0.0018382353009656072 0.0036764706019312143 0.008272059261798859 0.0 0.0 0.0027573530096560717 0.008272059261798859 0.0018382353009656072 0.0 0.0018382353009656072 0.0036764706019312143 0.0 0.0 0.0 0.0036764706019312143 0.0 0.0 0.0018382353009656072 0.0018382353009656072 0.0 0.0 0.0 0.009191176854074001 0.03400735184550285 0.0 0.0 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0027573530096560717 0.0 0.0009191176504828036 0.0027573530096560717 0.0009191176504828036 0.0 0.0018382353009656072 0.0027573530096560717 0.004595588427037001 0.0009191176504828036 0.0 0.0 0.0 0.0 0.0 0.0009191176504828036 0.0036764706019312143 0.0 0.0 0.0 0.0 0.01194852963089943 0.0009191176504828036 0.0009191176504828036 0.0 0.005514706019312143 0.007352941203862429 0.0 0.0 0.0 0.0 0.0 0.0009191176504828036 0.006433823611587286 0.0027573530096560717 0.0 0.0 0.0027573530096560717 0.0027573530096560717 0.0009191176504828036 0.0009191176504828036 0.0036764706019312143 0.0027573530096560717 0.0018382353009656072 0.0036764706019312143 0.0009191176504828036 0.0 0.0018382353009656072 0.0009191176504828036 0.0009191176504828036 0.0009191176504828036 0.0018382353009656072 0.0027573530096560717 0.0 0.0027573530096560717 0.0 0.0018382353009656072 0.0018382353009656072 0.0027573530096560717 0.0 0.0 0.0036764706019312143 0.0 0.0018382353009656072 0.0 0.0018382353009656072 0.0 0.0 0.0018382353009656072 0.0 0.0 0.0027573530096560717 0.0027573530096560717 0.0036764706019312143 0.0018382353009656072 0.0 0.0009191176504828036 0.0009191176504828036 0.0018382353009656072 0.0 0.0 0.0027573530096560717 0.0 0.0 0.0 0.005514706019312143 0.0009191176504828036 0.0018382353009656072 0.005514706019312143 0.0 0.0018382353009656072 0.0 0.0 0.0027573530096560717 0.006433823611587286 0.0018382353009656072 0.03216911852359772 0.0 0.0036764706019312143 0.0 0.0 0.0 0.0 0.0 0.0 0.0009191176504828036 0.0 0.0 0.0 0.0018382353009656072 0.0027573530096560717 0.0018382353009656072 0.0018382353009656072 0.0 0.0 0.0 0.0 0.0009191176504828036 0.0 0.0 0.0009191176504828036 0.0009191176504828036 0.0009191176504828036 0.0 0.0 0.0018382353009656072 0.0018382353009656072 0.0027573530096560717 0.0027573530096560717 0.0009191176504828036 0.0 0.0 0.0009191176504828036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018382353009656072 0.0009191176504828036 0.0009191176504828036 0.0009191176504828036 0.0009191176504828036 0.0 0.0 0.0 0.005514706019312143 0.0027573530096560717 0.0018382353009656072 0.007352941203862429 0.0009191176504828036 0.0 0.0 0.0009191176504828036 0.0036764706019312143 0.0018382353009656072 0.0027573530096560717 0.0018382353009656072 0.005514706019312143 0.0 0.0 0.0 0.0 0.004595588427037001 0.0018382353009656072 0.0009191176504828036 0.0 0.0 0.0 0.0 0.0018382353009656072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009191176504828036 0.0 0.0018382353009656072 0.0036764706019312143 0.0 0.0 0.0 0.0 0.0 0.0036764706019312143 0.0009191176504828036 0.0009191176504828036 0.0027573530096560717 0.0 0.0 0.0 0.004595588427037001 0.0018382353009656072 0.0009191176504828036 0.004595588427037001 0.0009191176504828036 0.0 0.0 0.004595588427037001 0.0018382353009656072 0.0 0.0027573530096560717 0.0 0.004595588427037001 0.0009191176504828036 0.0 0.009191176854074001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.6066176295280457 0.02297794073820114 0.06617647409439087 0.014705882407724857 0.036764707416296005 0.029411764815449715 0.018382353708148003 0.017463235184550285 0.0625 0.009191176854074001 0.014705882407724857 0.005514706019312143 0.03492647036910057 0.009191176854074001 0.014705882407724857 0.036764707416296005 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 5.666666507720947 17.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1764705926179886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11764705926179886 0.0 0.05882352963089943 0.05882352963089943 0.11764705926179886 0.0 0.0 0.05882352963089943 0.0 0.0 0.0 0.05882352963089943 0.0 0.0 0.05882352963089943 0.0 0.0 0.05882352963089943 0.0 0.1764705926179886 0.0 0.0 0.0 0.05882352963089943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2927701473236084 0.0 0.0 0.0 1.0 1088.0 1088.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 0.0 0.0 0.0 0.0 320.0 576.0 0.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806720733642578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.344904899597168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.125598430633545 0.0 0.0 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 -136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -305.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 1056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0