Input: 0.14736779 0.019143833 0.008016079 0.0066070654 0.008974751 0.0101024555 0.0060987347 0.0065503097 0.009163525 0.0035866925 0.0062430906 0.003990149 0.0019173444 0.002926603 0.0015953194 0.012007462 0.008032119 0.001637269 0.0010709491 0.00092165783 0.0019889055 0.015430057 0.0010117261 0.0010635463 0.0046539404 0.0015410316 0.0007649637 0.00097347796 0.0013436216 0.00088464346 0.0008093809 0.0009463341 0.008323299 0.001972866 0.0008365248 0.0007995104 0.01861206 0.00096977653 0.00077976944 0.0008093809 0.0034966243 0.0006514529 0.0006292443 0.0012017332 0.0007810032 0.0011437441 0.0010487406 0.0006452839 0.005792749 0.00072301406 0.00093152834 0.0067366157 0.0019457221 0.0006440501 0.0006317119 0.00072301406 0.0030808295 0.0014608338 0.0005490465 0.0030734267 0.0006897011 0.0007810032 0.00061197096 0.00069710397 0.010642866 0.008718118 0.0012942692 0.0021838478 0.0071659824 0.0072165686 0.0015694094 0.0017347402 0.07310338 0.009117873 0.0008167838 0.0015706432 0.015606493 0.0077323024 0.0011980318 0.0014892116 0.004570041 0.0007464565 0.0008994492 0.0018618229 0.0032190166 0.003117844 0.002104884 0.0034262969 0.0025984088 0.0007143774 0.0005774242 0.001473172 0.0042122356 0.0016101252 0.0019296826 0.0028612108 0.003406556 0.0018075352 0.0006292443 0.0019235135 0.002405934 0.0032622 0.0021653408 0.00092042406 0.0023368406 0.0016952582 0.00048118684 0.00089328014 0.0027921174 0.0011079635 0.0015027835 0.0019407868 0.0040617106 0.0005909961 0.002473794 0.001998776 0.008444212 0.0035607826 0.00078963995 0.0010746506 0.0047094617 0.0013633627 0.0006637911 0.0008673701 0.0015681755 0.0012239419 0.0007908737 0.0011252369 0.006800774 0.0014830425 0.0007649637 0.011299253 0.0030006317 0.014922961 0.0007057407 0.00077976944 0.0034016208 0.015638571 0.00054164365 0.056363016 0.00096113986 0.019072272 0.00066872634 0.00078223704 0.002999398 0.000539176 0.0006477515 0.0004491077 0.0008389924 0.0006563882 0.00048488827 0.0006452839 0.0009919852 0.0004577444 0.00047871922 0.0005144998 0.0008365248 0.00047255013 0.00044293865 0.0005305393 0.0018556538 0.000716845 0.0006921688 0.0007661975 0.0007489241 0.0007427551 0.000940165 0.001413949 0.0012412153 0.00067366153 0.0006897011 0.0006391148 0.00090068305 0.00068106444 0.00069093495 0.0007785356 0.0014460281 0.000499694 0.0006156724 0.0005811256 0.0008167838 0.0005934638 0.0006267767 0.0012288771 0.0020382581 0.0010339348 0.001650841 0.0011388088 0.0008032119 0.0005959314 0.000835291 0.0010388701 0.011063595 0.0024380132 0.0015607727 0.005195584 0.0042776274 0.0009685427 0.0015546036 0.0029586821 0.0028365348 0.0036089013 0.0009278269 0.00212956 0.037749723 0.0009660751 0.0020604667 0.0023639845 0.0024700924 0.00077976944 0.0024034665 0.0008871111 0.00086243486 0.0008537982 0.0012745282 0.0016039561 0.005787814 0.0012843987 0.00082418666 0.0027045168 0.0008266543 0.00063664716 0.0006415824 0.0010178952 0.0030364122 0.00072918314 0.0005959314 0.0007871723 0.00092906074 0.0005687875 0.0005293055 0.0008254205 0.009283205 0.0056903427 0.0007945752 0.0027538692 0.003465779 0.00076372985 0.00054164365 0.00084146 0.004156714 0.0011684203 0.0010561434 0.0006859997 0.00093276217 0.00057002134 0.0018100027 0.0013140102 0.0038544298 0.001722402 0.0013843375 0.001716233 0.002143132 0.0025367183 0.0030240742 0.032582518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010680379 8.653085e-06 8.653085e-06 4.9446203e-06 3.0903877e-06 7.41693e-06 1.730617e-05 9.889241e-06 1.2361551e-05 1.7924249e-05 1.1743473e-05 1.483386e-05 1.2361551e-05 9.2711625e-06 8.653085e-06 5.0682356e-05 0.008085072 9.3329705e-05 7.293315e-05 0.00012052512 8.52947e-05 9.209355e-05 0.0004394531 0.00024661294 0.00039804194 8.9003166e-05 6.5516215e-05 7.046084e-05 4.3265427e-05 6.1189676e-05 5.50089e-05 0.00010878165 0.0073613035 0.00013844937 0.00010136471 0.00011187203 0.00020272942 0.00021879944 0.0006279668 0.0003659019 0.00045552314 8.9003166e-05 6.0571598e-05 5.809929e-05 5.315467e-05 5.1300434e-05 6.0571598e-05 0.00016997132 0.0139129255 0.0002200356 0.00033314378 0.00031583762 0.00044687005 0.0005877917 0.0008875593 0.00046417624 0.0016811709 0.00019036788 0.00017553402 0.00019593058 0.00015204707 0.00018727749 0.0001897498 0.00031274723 0.010101859 0.00027998912 0.0003436511 0.00029296876 0.0009240259 0.0009289705 0.0026237392 0.001418488 0.0010686561 0.00020211135 0.00017306171 0.00017677018 0.0008887955 0.00015142899 0.0001984029 0.00048024624 0.01168352 0.0014073625 0.0010773091 0.0008634543 0.001076073 0.0010575306 0.0039767106 0.0022893592 0.0003078026 0.0001897498 0.00025093948 0.00026515525 0.0010185918 0.00022621638 0.0004351266 0.00045737738 0.036957946 0.0056473743 0.002526701 0.0024846718 0.0020748863 0.002605815 0.002767133 0.0024865258 0.0013770767 0.001092761 0.001482768 0.001387584 0.0036423309 0.0020229677 0.0024729283 0.0023882515 0.019298853 0.0014963658 0.0014784414 0.0012961086 0.0018424891 0.0014160157 0.0022275515 0.0016873516 0.0014438292 0.0010501137 0.0036726168 0.0013863479 0.0026503166 0.0015427215 0.0016651009 0.0014153975 0.018305602 0.0027949465 0.0020977552 0.0019945363 0.01058705 0.001538395 0.0024067939 0.002393196 0.009598744 0.00093206094 0.0013776948 0.0012664408 0.0047054244 0.0013702778 0.0014772053 0.004242484 0.1199126 0.028775835 0.032885432 0.020358855 0.12758604 0.026235538 0.012113083 0.022455992 0.11492225 0.006731482 0.005677042 0.009833613 0.06690689 0.01802314 0.023127224 0.045467637 0.007309385 0.0022522744 0.0018060226 0.0012497528 0.0065738726 0.0012639685 0.0011786738 0.0015118177 0.006144309 0.0013826394 0.00072994956 0.00087767007 0.0027071796 0.0012139042 0.002463039 0.0056393393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2935.0 9.505281 27898.0 0.024123592 0.0016130188 0.0010036562 0.00035844863 0.031794395 0.0002867589 0.0002867589 0.00035844863 0.0022223815 0.00035844863 0.00021506919 0.0013262599 0.0012904151 0.015484981 0.0065954546 0.00064520753 0.011900495 0.0048390566 0.0018997778 0.010000717 0.0015054842 0.00046598323 0.0007527421 0.0006810524 0.0026883648 0.010681769 0.00053767295 0.004480608 0.0012187253 0.001039501 0.00086027675 0.00035844863 0.011972184 0.10574235 0.0021506918 0.00788587 0.015018998 0.010717615 0.0043013836 0.0033694173 0.045809735 0.0059502474 0.00025091405 0.0007527421 0.013011686 0.0026525198 0.0014337945 0.0018639329 0.009678113 0.0009678113 0.0034769517 0.015807584 0.01681124 0.021614453 0.038210623 0.041830957 0.0022940713 0.00043013837 0.00032260377 0.004695677 0.013943652 0.017707363 0.03154348 0.03480536 0.0022940713 0.026561044 0.002616675 0.012223098 0.012223098 0.044160873 0.011362822 0.005269195 0.005986092 0.021686142 0.0005018281 0.002616675 0.023693455 0.0108609935 0.019212848 0.024159437 0.012402323 0.0005018281 0.0314001 0.016524483 0.039429348 0.011004373 0.0029751237 0.005484264 0.009893183 0.005089971 0.0016130188 0.0010753459 0.0035844864 0.0010753459 0.00053767295 0.0030826582 5.544221 0.0 0.0 0.0 3.0 810496.0 827392.0 1.0 24.0 304.0 1.0 1.0 0.0 0.0 0.0 1540437100.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 633856.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 114688.0 0.0 0.0 0.0 0.0 35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -633856.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.410805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3494854 0.0 0.0 0.0 0.0 5.986811 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7157652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.296218 0.0 1.0569158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 114352.0 0.0 0.0 0.0 0.0 35436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -633598.0 0.0 16280.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 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 -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 1.0 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 -1.0 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 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 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 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 -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 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 -2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 900.0 740368.0 1060.0 741268.0 17328.0 798720.0 35436.0 757760.0 0.0 0.0 4908.0 819200.0 56.0 681328.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 653712.0 0.0 0.0 3248.0 661056.0 544.0 735296.0 0.0 0.0


Input: 0.03257789 0.005033508 0.0046464405 0.00462412 0.0045620585 0.0040916987 0.004055224 0.0038162328 0.0045190514 0.0038924487 0.004570769 0.0038891823 0.004332867 0.0036888437 0.003662168 0.0036420254 0.004077544 0.0042566513 0.0038739392 0.003812422 0.0042463075 0.004118374 0.0038565183 0.003978464 0.004387307 0.0044591674 0.0037432835 0.0034738062 0.003631682 0.0038048006 0.003464007 0.003757438 0.004513063 0.003790646 0.004069378 0.003945255 0.00432089 0.0039262013 0.0037971789 0.0035086477 0.004128173 0.003772681 0.00424903 0.003853252 0.003915313 0.003558188 0.0038113333 0.0036785002 0.004599622 0.0042163655 0.004029637 0.0038537963 0.0040682894 0.0037971789 0.0037198744 0.0035641764 0.003957232 0.0036485582 0.0037977232 0.0036452918 0.003534779 0.0033975905 0.0034618296 0.003514636 0.004201667 0.0037258628 0.0039370894 0.003884827 0.0041820686 0.004498364 0.0040715556 0.0038891823 0.0038129664 0.0040247375 0.0038842827 0.0036697898 0.0041766246 0.003694832 0.0036610793 0.003640392 0.004149949 0.004098776 0.003966487 0.005316595 0.004376419 0.0042800605 0.0038184104 0.004962736 0.0038592403 0.003667612 0.003667612 0.0033289962 0.0038733948 0.0038434528 0.003437876 0.0037078976 0.004268628 0.0042887707 0.004147227 0.003950699 0.004014938 0.00516253 0.0044139824 0.0037117084 0.0039757416 0.003992618 0.0037220519 0.0034367873 0.0039844518 0.0034738062 0.003914769 0.0038750279 0.0040960535 0.0035674428 0.0042043887 0.0039180354 0.004615954 0.0041330727 0.0036028286 0.0035761532 0.003536412 0.0035315126 0.0034171888 0.0032331822 0.0036736005 0.0035298793 0.0034275325 0.0034373316 0.004447735 0.0038276652 0.00370572 0.0036779556 0.003909325 0.00369211 0.0036501912 0.003481428 0.0037394727 0.003640392 0.004053046 0.003753627 0.004240319 0.0035641764 0.0037764919 0.0035576436 0.0036545466 0.0035151807 0.0035440337 0.0033970461 0.0038625067 0.0050046546 0.0035848636 0.003556555 0.003924024 0.0035478445 0.003488505 0.0034411424 0.0034743506 0.0034509415 0.0032277382 0.0034890494 0.0038516189 0.0037492719 0.0039278343 0.0039866297 0.003712797 0.0036817666 0.0037394727 0.003764515 0.0041189184 0.0039115027 0.004044336 0.0037089863 0.0038663174 0.0034482195 0.0036746892 0.0035238909 0.0036028286 0.0035543772 0.0034607407 0.003541856 0.003652369 0.0035097366 0.0033453282 0.003261491 0.0036589017 0.0034520302 0.0037117084 0.0034977598 0.0033279075 0.0033491391 0.0034607407 0.003440598 0.0039496105 0.0037285846 0.0036572686 0.0035647207 0.0039076917 0.0038690395 0.0039267456 0.0035946628 0.0036202495 0.0034253548 0.003820588 0.0036077283 0.0039713862 0.00331212 0.0035287905 0.0034068453 0.003738384 0.0037530826 0.0035979291 0.0034776172 0.003884827 0.0035097366 0.0034531192 0.0034672734 0.0035864967 0.0033077647 0.0033567606 0.003295788 0.0035277016 0.0031869083 0.00327129 0.0032789116 0.0036180718 0.0034335207 0.0036382147 0.003641481 0.0035434894 0.0036039175 0.0035407674 0.003426988 0.003640392 0.0035494776 0.0035875856 0.003606095 0.0035385897 0.0032217498 0.0033426064 0.0033268188 0.0034917714 0.0034868717 0.003544578 0.0034220885 0.0035532885 0.003491227 0.0034329763 0.0032277382 0.0035821416 0.003406301 0.0034819723 0.003303954 0.0033714594 0.003301232 0.003317564 0.00898584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008858272 2.4523053e-05 2.179827e-05 9.264265e-06 4.0871755e-06 3.5422188e-06 3.5422188e-06 2.997262e-06 3.8146973e-06 2.997262e-06 1.3623919e-06 2.4523054e-06 6.267003e-06 3.5422188e-06 1.9073486e-06 0.00013814654 0.0071697235 0.0001637595 0.00024414062 0.0007738386 9.100778e-05 6.0490198e-05 0.00027493067 5.231585e-05 7.3569165e-05 4.4686454e-05 2.9427665e-05 2.5340489e-05 4.005432e-05 3.869193e-05 1.6076225e-05 0.00094658986 0.011394774 0.0010340555 0.00044631958 0.000919887 0.00046321325 0.0002228873 0.00037602015 8.283342e-05 0.0005629403 6.975447e-05 0.00013296945 6.5667286e-05 5.1498413e-05 5.8037895e-05 5.4768152e-05 0.00024741035 0.0043492997 0.0003667559 0.00019754682 0.0001550402 0.00021852765 8.773804e-05 5.7765417e-05 4.03268e-05 0.00020871844 3.896441e-05 5.9127808e-05 3.1062536e-05 3.2969885e-05 3.5967147e-05 3.351484e-05 0.00022506714 0.0012237004 0.00012888227 0.00039999824 6.267003e-05 0.00021825518 0.00039264135 0.0015850067 0.0008670262 4.6593803e-05 0.00013705662 8.3378385e-05 3.2424927e-05 2.4250576e-05 2.5885445e-05 2.5885445e-05 0.0008847373 0.0014299665 9.373256e-05 0.00018474033 0.0002117157 0.00017820086 0.00044332232 0.000894819 0.0005365099 1.852853e-05 0.000226702 0.00017901829 2.0435878e-05 2.1253314e-05 2.0435878e-05 4.9318587e-05 0.0005136217 0.0019256047 0.00041988917 0.0005062648 5.6403023e-05 5.9400285e-05 0.00068010605 0.00011280605 0.00010735648 6.212507e-05 0.0007634844 0.00047084264 0.00011226109 0.00012506757 0.00017220633 0.00013460431 0.0015460423 0.0028220585 0.00031770978 0.00040245056 0.00031661987 0.00034495763 0.00056566513 0.00069100515 0.0004863739 0.00013787406 0.0003152575 0.00023269653 0.00014141628 0.00015449524 0.00010817392 0.000100272046 0.0006754739 0.0028174263 0.000390734 0.0003163474 0.00047574725 0.0012746538 0.0016201565 0.00251988 0.0016468593 0.00013542175 0.0001108987 0.00013405936 0.00012261527 0.00013160706 0.00014468601 0.00012534006 0.00086838857 0.0005190713 7.847377e-05 6.185259e-05 5.858285e-05 0.00014305115 0.00011498587 0.0001247951 9.07353e-05 4.332406e-05 4.850115e-05 4.3051583e-05 4.8228674e-05 4.141671e-05 4.550389e-05 4.359654e-05 0.00016893659 0.0006465912 0.00011934553 0.00013378689 0.000104904175 0.00014686584 0.000115530835 0.00012070792 0.00011280605 0.00012370518 8.1743514e-05 8.419582e-05 8.147104e-05 9.209769e-05 7.711138e-05 9.046282e-05 0.000100817 0.06027494 0.059812274 0.059937887 0.057676587 0.05982508 0.0600496 0.057572227 0.05547442 0.05930819 0.056334633 0.059278216 0.055152077 0.0581804 0.054976325 0.055595398 0.054100852 9571.0 7.4165707 70984.0 0.02108926 0.0071988055 0.0074101207 0.0073819454 0.0067479997 0.0069170515 0.006959315 0.006409895 0.007663699 0.0069734026 0.0078186635 0.0068747886 0.006733912 0.0068466133 0.007691874 0.0071001914 0.008959766 0.007649611 0.007748225 0.007072016 0.0075369095 0.007001578 0.006423983 0.006156317 0.0075650853 0.006593035 0.0069311396 0.0067057363 0.006057703 0.0068747886 0.0062549305 0.006776175 0.007255156 0.0085793985 0.009213344 0.011256058 0.010255832 0.012566213 0.010608024 0.007987715 0.0078186635 0.015609152 0.007621436 0.0069734026 0.010100868 0.009917728 0.008156768 0.010171306 0.010650287 0.007649611 0.011185619 0.018060409 0.010495323 0.009875465 0.008128593 0.03731827 0.0071001914 0.007438296 0.0069170515 0.006409895 0.00717063 0.007480559 0.006494421 0.010791164 0.0073255943 0.019807281 0.010157218 0.0129324915 0.013636876 0.042263046 0.011594162 0.010819339 0.011833653 0.019469175 0.007649611 0.0074664713 0.017229235 0.009959991 0.020398963 0.021976784 0.017680041 0.007297419 0.024146287 0.018567564 0.030358953 0.016144482 0.008649836 0.008466696 0.007691874 0.009565536 0.007001578 0.0060999664 0.0066634733 0.0072410684 0.0060858787 0.0064380704 6.3914833 0.0 0.0 0.0 20.0 1836890.0 2375680.0 0.0 1009.0 14.0 1.0 1.0 0.0 0.0 0.0 1471711100.0 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 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 11.0 0.0 6.0 0.0 6.0 0.0 1275392.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -648192.0 0.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.17943254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.983602 0.0 5.1695447 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2228224.0 0.0 139264.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 2.0 2.0 3.0 4.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -2.0 0.0 -4.0 1.0 8.0 -2.0 0.0 2.0 -2.0 -4.0 -2.0 -3.0 0.0 3.0 2.0 0.0 -2.0 -2.0 10.0 2.0 -4.0 -3.0 2.0 0.0 -1.0 4.0 0.0 1.0 4.0 1.0 1.0 -1.0 6.0 2.0 -5.0 5.0 1.0 8.0 3.0 0.0 5.0 5.0 -1.0 2.0 2.0 0.0 -4.0 4.0 1.0 1.0 -2.0 -2.0 -1.0 -2.0 3.0 -1.0 -3.0 0.0 3.0 -3.0 -2.0 -1.0 -3.0 1.0 -1.0 -3.0 -3.0 2.0 4.0 2.0 -5.0 3.0 -1.0 -1.0 -2.0 3.0 0.0 -5.0 0.0 4.0 -2.0 -3.0 2.0 -2.0 -2.0 -2.0 2.0 2.0 1.0 3.0 4.0 0.0 2.0 -1.0 2.0 1.0 1.0 -3.0 1.0 -4.0 1.0 1.0 0.0 2.0 1.0 -3.0 4.0 -2.0 -2.0 -3.0 6.0 6.0 -1.0 3.0 15195.0 2352208.0 697.0 2368020.0 119880.0 2232320.0 0.0 0.0 0.0 0.0 16.0 2371584.0 56.0 1288336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 1696536.0 0.0 0.0


Input: 0.051292904 0.008720052 0.0064903577 0.005566287 0.0078397 0.0037519275 0.003843341 0.003996359 0.007342888 0.0027483664 0.0029629895 0.002823882 0.007597256 0.0037260933 0.002736443 0.010005803 0.0045885597 0.0025734885 0.002505922 0.0024840622 0.0037320552 0.0037857108 0.0027821497 0.0022614903 0.003096135 0.0022316815 0.0022714266 0.0028040095 0.0032908856 0.0028914486 0.0028358055 0.002641055 0.008137788 0.0019991733 0.0026470167 0.0027861241 0.0038115452 0.0021502043 0.0021025103 0.0021541787 0.00252182 0.001870002 0.0021978982 0.0032551151 0.0031160077 0.002187962 0.00236284 0.0023032224 0.0034458912 0.003022607 0.0028556779 0.0053178803 0.0028735632 0.0026509913 0.0026529785 0.0024999604 0.0027583027 0.003030556 0.0024999604 0.0048409407 0.0030822244 0.0029232444 0.0026132334 0.002267452 0.003388261 0.0030583774 0.0028258692 0.0028517034 0.0030325432 0.013666317 0.00641683 0.005069474 0.0034001844 0.0037141698 0.0021820003 0.0020826377 0.002219758 0.007877458 0.0026311188 0.0026470167 0.008171571 0.004208995 0.003229281 0.003380312 0.002315146 0.0047932467 0.004836966 0.0042924597 0.0032034467 0.004675999 0.0024542536 0.0026450295 0.0021740512 0.0043957965 0.003515445 0.0030424795 0.0023012352 0.0023747636 0.0026390678 0.0032888984 0.003485636 0.003435955 0.0046660625 0.001997186 0.0045289425 0.0027940732 0.005806744 0.0021104594 0.0030186325 0.0024800878 0.002951066 0.0033544777 0.0026231697 0.0021939238 0.003388261 0.0028735632 0.007541613 0.0090161525 0.0033743503 0.002871576 0.0030722881 0.0025257946 0.0021700768 0.0021978982 0.0027622771 0.0040996964 0.0033246689 0.0029550404 0.0035770496 0.0024065594 0.00236284 0.010192604 0.003716157 0.011263732 0.0024622025 0.0022634775 0.0031855614 0.010963657 0.0030663265 0.024290154 0.0024204704 0.013807411 0.0027583027 0.0028974102 0.0027702262 0.0025476543 0.0026827871 0.0023032224 0.0022595031 0.0028040095 0.0024284192 0.0020468673 0.002323095 0.0021919366 0.0021303317 0.002164115 0.0018859 0.002227707 0.0023409803 0.002505922 0.0022018729 0.002458228 0.0018441678 0.0024880366 0.0026072718 0.0027384302 0.0020091096 0.0020826377 0.0027781753 0.0019673773 0.0022595031 0.0026549657 0.0027980476 0.0021064847 0.0020548163 0.002434381 0.0027960604 0.002720545 0.002513871 0.0021601405 0.0023767508 0.0031080586 0.0034240314 0.003509483 0.0033743503 0.0024323938 0.0022078345 0.0021978982 0.0024244448 0.0023966234 0.002466177 0.0024939985 0.0071322396 0.0037439787 0.0029590148 0.00440772 0.00416925 0.0025277818 0.00657581 0.005212556 0.00448721 0.0041414285 0.0023350185 0.0028457418 0.004183161 0.0021203957 0.0024443173 0.0028338183 0.002712596 0.002434381 0.002792086 0.0026986853 0.002784137 0.0022296943 0.0023509166 0.0025416925 0.0036605143 0.0022773882 0.0022535413 0.0036148075 0.0033723628 0.0022455922 0.0019216705 0.002800035 0.0030504283 0.002243605 0.0023568782 0.0026231697 0.0038155196 0.0026907362 0.00212437 0.0020806505 0.014932195 0.0038373794 0.0025337434 0.004958188 0.0056755855 0.0024681643 0.0023906615 0.0023767508 0.0061445762 0.0031040842 0.0030007472 0.0026370804 0.0039248182 0.002553616 0.00353333 0.0029550404 0.0047852974 0.0033922354 0.0031696635 0.0030047216 0.008366322 0.004687922 0.0066731847 0.043985788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.665976e-05 0.0 0.0019222337 4.9824616e-06 1.9929846e-06 0.0 6.9754465e-06 3.985969e-06 0.0 0.0 0.0 0.0 0.0 1.9929846e-06 0.0 1.9929846e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012545838 0.00020727041 6.676499e-05 6.9754465e-06 0.00033183195 0.00017338966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010094468 0.0013552296 0.00032386 5.1817602e-05 0.002157406 0.0012246891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009994818 3.1887754e-05 3.6870217e-05 3.88632e-05 0.00014648438 8.968431e-05 0.0004025829 0.00017139668 4.9824616e-06 3.985969e-06 9.964923e-07 1.9929846e-06 2.989477e-06 1.9929846e-06 1.1957908e-05 9.466677e-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 0.0015206473 0.00014847735 0.000983538 0.00015943877 0.0002212213 0.00019331952 0.00035475128 0.00024214764 0.00048628828 7.9719386e-05 9.367028e-05 0.00014947385 0.00017040019 0.0001434949 0.00022022481 0.00095563615 0.0071358816 0.0008061623 0.00067163585 0.00095663266 0.0018853635 0.0018664302 0.0009247449 0.001173868 0.0063645965 0.0010054607 0.00067263236 0.0011021205 0.0023337852 0.0005092076 0.0013711734 0.009995814 0.06435647 0.010177176 0.005898238 0.010264868 0.02369061 0.019416653 0.010006776 0.014897561 0.048007015 0.003533562 0.0036152743 0.0064881616 0.020495854 0.006211137 0.019040976 0.04614457 0.024080237 0.004622728 0.0031389508 0.0048549105 0.01042331 0.008578802 0.005099051 0.007188696 0.016419204 0.0016113281 0.0021763393 0.0028320313 0.00771883 0.003136958 0.00796596 0.014642458 0.03259925 0.030984933 0.030621214 0.03146823 0.030340202 0.031174267 0.03185487 0.031909678 0.030541494 0.03142339 0.03094308 0.032073103 0.031482182 0.03275072 0.03166155 0.034294285 1661.0 10.677302 17735.0 0.13769382 0.0037778404 0.0145475045 0.0054694107 0.0071045957 0.0041725403 0.0040597687 0.0040597687 0.0054694107 0.0040597687 0.0036650691 0.0051310966 0.006315196 0.010995207 0.012855935 0.013081477 0.017987031 0.015618833 0.011107978 0.006991824 0.008683395 0.00795038 0.008627009 0.009923879 0.0071045957 0.0076684523 0.015054976 0.007160981 0.006484353 0.008965323 0.0065407385 0.004003383 0.0046236254 0.009980265 0.0058641103 0.011840993 0.008570623 0.008683395 0.010487736 0.006991824 0.0051310966 0.00913448 0.0027065126 0.0046236254 0.0053566396 0.0076120663 0.0041725403 0.0048491685 0.010036651 0.0076684523 0.008288695 0.008232309 0.006484353 0.0058641103 0.008514238 0.0074429093 0.0060896534 0.0056385677 0.0056385677 0.0039469977 0.0039469977 0.0043416973 0.005243868 0.005807725 0.0037778404 0.016182689 0.010149422 0.01996053 0.01787426 0.02661404 0.012855935 0.012461235 0.0148294335 0.022103187 0.009585565 0.0046236254 0.012404849 0.0114462925 0.01787426 0.027798139 0.0147730475 0.0041161543 0.019622216 0.018832816 0.033887792 0.008345081 0.009923879 0.008401466 0.006315196 0.0046236254 0.0040597687 0.003495912 0.0039469977 0.0048491685 0.0046236254 0.003495912 6.0332394 0.0 32.0 0.0 7.0 503208.0 499712.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 1517907800.0 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 341504.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -342016.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.169925 0.0 0.0 -7.9724813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.983271 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.93421 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.545504 0.0 7.9631796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -17560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -341817.0 0.0 7704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 447172.0 7704.0 471040.0 0.0 0.0 25000.0 478208.0 17560.0 479232.0 112.0 416416.0 0.0 0.0 0.0 0.0 24.0 416620.0 64.0 416528.0 0.0 0.0 1000.0 348160.0 0.0 0.0 0.0 0.0


Input: 0.05657368 0.008290748 0.0061728396 0.0056539574 0.0057542194 0.004964526 0.0042017065 0.005408987 0.0050379136 0.0056115785 0.0037531112 0.004458047 0.004958324 0.0031908164 0.0043257424 0.0046316967 0.005045149 0.0037572458 0.004938685 0.0041582943 0.004344348 0.0031846147 0.0041024783 0.0038564743 0.005074091 0.0033448273 0.0031815136 0.002923106 0.0041376217 0.0034502575 0.0037944564 0.003792389 0.0061583687 0.0038233981 0.003490569 0.0030182002 0.0048963064 0.0041717314 0.003854407 0.0037221024 0.004726791 0.0038998867 0.0033355246 0.0030946888 0.0043681213 0.0037169342 0.003734506 0.0035815286 0.005507182 0.0039536357 0.0031008907 0.0028982991 0.0036817908 0.003083319 0.0026967411 0.0028579875 0.0041603614 0.003329323 0.0035236452 0.0033396592 0.004013586 0.0032218252 0.0034998718 0.0034564594 0.0065945606 0.0039464002 0.003616672 0.0032290607 0.004162429 0.0032269934 0.0035370826 0.0030812516 0.005005871 0.0037830865 0.0037190015 0.0035866967 0.0041272854 0.003127765 0.0035484524 0.0034585267 0.005159882 0.0036208066 0.003636311 0.0033334573 0.0039288285 0.0033892733 0.0033686007 0.0035505197 0.0046461676 0.003652849 0.003812028 0.00351641 0.004107646 0.0033861725 0.003686959 0.0037934228 0.005906163 0.003628042 0.00334276 0.002948947 0.004013586 0.0030533436 0.0032714396 0.0030368054 0.004961425 0.0031618748 0.0031939172 0.003055411 0.0035753269 0.0028404158 0.0030843525 0.0032052873 0.0045014597 0.0032941794 0.0032238925 0.0031432693 0.0038916178 0.0033272556 0.0032890113 0.0036270083 0.004614125 0.0032972803 0.0034823 0.0031567067 0.0040404606 0.0031970183 0.0034657621 0.0033468946 0.008640115 0.00458415 0.0040270234 0.0035267463 0.00437639 0.0034306187 0.0030264691 0.003401677 0.0045376364 0.0038337344 0.0029561825 0.0031897828 0.003723136 0.0028001042 0.002853853 0.0029820232 0.0052312026 0.003216657 0.0034823 0.0030316373 0.0036714545 0.0031763455 0.0033055493 0.0032755742 0.004542805 0.0028435166 0.0030440409 0.0027019093 0.0035143427 0.0032207917 0.0029871913 0.0031546394 0.005003804 0.003409946 0.003270406 0.0027908015 0.0037675821 0.0030078639 0.003049209 0.0031897828 0.004144857 0.003004763 0.0031143278 0.003021301 0.0036425127 0.002831113 0.0029220725 0.0030430073 0.004670975 0.0031153613 0.0038358017 0.002853853 0.0035680914 0.0031484375 0.0029892586 0.003127765 0.0042544217 0.0031463704 0.0033313902 0.0031763455 0.0036600844 0.003188749 0.003323121 0.0033582645 0.00670826 0.0040538977 0.0037252032 0.0033458609 0.004116949 0.0032466324 0.003306583 0.0032280271 0.004331944 0.003334491 0.0031153613 0.0030895206 0.003650782 0.0029820232 0.0030822852 0.0027990707 0.0042502875 0.0032755742 0.0030802179 0.0030037293 0.003708665 0.0030099312 0.0029355097 0.0029406778 0.0039763753 0.0031091596 0.00272775 0.002655396 0.0035422507 0.002957216 0.0035928986 0.0028879629 0.004960391 0.003244565 0.0033882398 0.0029747877 0.0038058264 0.0030698816 0.0031980518 0.0029003662 0.0044394415 0.005438962 0.0034657621 0.0031401685 0.0037944564 0.0030750497 0.0032580025 0.00320322 0.004615159 0.0033210537 0.0034233832 0.0030595453 0.0037458758 0.0030822852 0.0033127847 0.003239397 0.0043515833 0.003032671 0.0031856482 0.0028765928 0.004013586 0.0031008907 0.004245119 0.0045066276 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045757596 0.0002920367 0.0002708071 0.00026718254 0.00030239264 0.00024025716 0.00032724682 0.00030187482 0.00033294258 0.00034795864 0.0003298358 0.0003541722 0.0005177956 0.00015689207 0.0001879598 0.00073889433 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09911126 0.062036574 0.0624622 0.055320248 0.060621955 0.05958015 0.054955717 0.054470025 0.060493026 0.05317709 0.052126482 0.05295858 0.056439202 0.05056274 0.05666341 0.053878184 4029.0 5.702656 22976.0 0.017104805 0.010402159 0.009401115 0.008748259 0.01349234 0.012491295 0.011794916 0.011533774 0.012621867 0.009749304 0.0085741645 0.008617688 0.013840529 0.010576254 0.011794916 0.0100104455 0.016669568 0.011925488 0.0086612115 0.0074860724 0.009792827 0.008530641 0.0077907383 0.008313023 0.010315112 0.008443593 0.009618732 0.008791783 0.011490251 0.008922353 0.009618732 0.009270543 0.018018803 0.010924443 0.010402159 0.009139972 0.010880919 0.008835306 0.010663301 0.008356546 0.014188719 0.011577298 0.009836351 0.008965878 0.011446727 0.00935759 0.011620821 0.009575209 0.014754526 0.009575209 0.009966922 0.008965878 0.012056058 0.009314067 0.009575209 0.009836351 0.013666434 0.009270543 0.01053273 0.009618732 0.011185585 0.009792827 0.010402159 0.010663301 0.018018803 0.010967966 0.009749304 0.008138928 0.013100627 0.008225975 0.00935759 0.008313023 0.015407382 0.009314067 0.00887883 0.0086612115 0.011316156 0.008008356 0.009879875 0.008008356 0.013187674 0.008008356 0.008704735 0.008704735 0.011446727 0.009444638 0.008095404 0.007964833 0.010880919 0.008922353 0.012012535 0.008487117 0.011446727 0.009052925 0.010141017 0.008791783 6.554693 0.0 0.0 0.0 14.0 967464.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.1477057 0.009735344 0.0062227473 0.0017108769 0.008867288 0.0017361111 0.0012263808 0.0021499516 0.01181464 0.0021348111 0.0016553617 0.00051477714 0.0059603117 0.0036539084 0.0009841328 0.0042645754 0.0034974564 0.0015645188 0.0005551518 0.00039869992 0.0016250807 0.007600533 0.00045421513 0.0012919897 0.001251615 0.00031290375 0.00039869992 0.00040374676 0.0008428214 0.00032804426 0.023255814 0.001221334 0.0061268574 0.02157017 0.0009235707 0.00049963663 0.0036740955 0.0023013565 0.00031290375 0.0007166505 0.0018774224 0.00073683786 0.00044412146 0.00042898094 0.00095385173 0.0007570252 0.0007671189 0.00035832525 0.0032400677 0.0019632187 0.0018521883 0.00430495 0.001953125 0.0017865795 0.0015847061 0.0012718023 0.0024880895 0.0017966732 0.0021499516 0.002049015 0.0022660287 0.0022710755 0.0020893896 0.0024022933 0.0012617087 0.0012415213 0.0014383479 0.000822634 0.0013626453 0.016185198 0.001069929 0.00059047964 0.002013687 0.00079235306 0.000640948 0.00024224806 0.0016553617 0.013177285 0.00095385173 0.0008074935 0.008059795 0.005864422 0.0039819526 0.00090843026 0.0015392846 0.011279675 0.0005702923 0.00036841893 0.0009992733 0.00044412146 0.000519824 0.0004693556 0.0008831961 0.002957445 0.0006258075 0.0050518815 0.0012869429 0.0042898096 0.001069929 0.0035378311 0.0035630653 0.008443355 0.0019480782 0.0021247175 0.007888203 0.004340278 0.0038255006 0.0009488049 0.0036841892 0.0018723756 0.0045320573 0.0050821626 0.0022054666 0.0003179506 0.005521237 0.00430495 0.011627907 0.0063842456 0.0011456314 0.0010245075 0.0015746125 0.0023921996 0.0008882429 0.00041888727 0.0008630087 0.004279716 0.00034823158 0.00070151 0.0013777858 0.0024022933 0.00037346577 0.018425994 0.001922844 0.0045320573 0.0002472949 0.0003785126 0.0012718023 0.011547158 0.00072169735 0.035428777 0.0014433947 0.007847828 0.00038355944 0.00028262273 0.0010043201 0.00051477714 0.00035832525 0.00030281008 0.0007267442 0.0012364745 0.00015645188 0.00039869992 0.00077721255 0.00057533913 0.0007116037 0.0003330911 0.0007721657 0.00027252908 0.00025234174 0.00031290375 0.0009033834 0.0027606185 0.0002472949 0.0006661822 0.0006359012 0.00020692022 0.00021196705 0.00017663921 0.0006258075 0.00020187338 0.00026748225 0.00018673288 0.00081254035 0.00021196705 0.00023720122 0.00021196705 0.0010951632 0.00023215439 0.00019177972 0.00019177972 0.0008074935 0.00017663921 0.0007267442 0.0002472949 0.0011203972 0.0005097303 0.00043907462 0.00019682656 0.00070655684 0.00064599485 0.0015342378 0.00025738857 0.0058089066 0.0012768492 0.0012364745 0.0025133237 0.008675509 0.00035832525 0.0006359012 0.0037447512 0.0018572351 0.0010194606 0.00035832525 0.00012617087 0.20040476 0.00031290375 0.00023215439 0.00027252908 0.001251615 0.00050468347 0.00085291505 0.00019682656 0.0015241441 0.00021196705 0.00030281008 0.0006005733 0.0013273176 0.00034318474 0.0005097303 0.0002624354 0.0014433947 0.0033510982 0.00026748225 0.0003179506 0.004981226 0.0025284642 0.0033056766 0.005278989 0.0016856428 0.002013687 0.0002775759 0.00035327842 0.010643775 0.0052133803 0.00095385173 0.0055616116 0.0055414243 0.00029776324 0.00034318474 0.00031290375 0.002932211 0.00034318474 0.0006359012 0.0004945898 0.0037346575 0.0004239341 0.00048954296 0.00063085434 0.0061773257 0.0007721657 0.00060562015 0.00038860628 0.010179466 0.0015695656 0.008559432 0.03126009 0.005276998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025973001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014200847 9.1552734e-05 0.00015258789 3.0517578e-05 8.646647e-05 0.00011952718 0.00028737387 0.0001373291 1.780192e-05 0.0 0.0 4.0690105e-05 2.2888184e-05 1.5258789e-05 2.5431314e-05 0.00039672852 0.011698405 0.0003153483 0.00023142497 4.83195e-05 0.00013987224 6.1035156e-05 0.00029500326 8.646647e-05 1.2715657e-05 4.3233234e-05 2.5431314e-05 5.086263e-05 0.0025609334 7.6293945e-06 7.6293945e-06 4.0690105e-05 0.008921306 0.00049591064 0.0004908244 7.6293945e-05 0.00023651123 0.00022888184 0.00017293294 0.0001373291 0.00031026205 3.0517578e-05 0.00018310547 2.0345053e-05 0.0088221235 0.00017801921 0.00016530354 0.00036366782 0.007423401 0.00011952718 8.392334e-05 2.5431314e-05 0.00041453043 0.00051116943 0.0017318726 0.0012257894 0.00042215982 3.560384e-05 2.0345053e-05 2.2888184e-05 0.008191426 1.0172526e-05 0.00013478597 0.0004603068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016593933 0.0014063517 0.0011672974 0.0003306071 0.0006663005 0.0011062622 0.004061381 0.0024337769 0.00068410236 0.00018310547 0.00020345052 0.00015513103 0.010808309 0.00015258789 0.000831604 0.0008824666 0.0065205893 7.3750816e-05 0.0004984538 0.00015258789 0.00037638345 0.00090026855 0.0036519368 0.0019989014 6.612142e-05 6.866455e-05 5.340576e-05 4.3233234e-05 7.120768e-05 5.5948894e-05 0.00033315024 0.0007603963 0.028223673 0.00065612793 0.004989624 0.0042444863 0.0045954385 0.0059890747 0.025761923 0.0149714155 0.00035603842 0.00048573813 0.00040944418 0.00036112466 0.00038401285 0.00030517578 0.0011113485 0.0009053548 0.008191426 0.00097401935 0.0014216105 0.00035095215 0.0012435913 0.0016657511 0.004989624 0.00247701 0.0006459554 0.00034840903 0.00010681152 0.00010681152 0.002512614 9.6639e-05 0.00031280518 0.0005976359 0.017316183 0.0043563843 0.0039367676 0.022112528 0.004231771 0.0041122437 0.0033391316 0.0033137004 0.0077463784 0.0021006267 0.0016021729 0.0019124349 0.018397013 0.0020624797 0.0048700967 0.007965088 0.026407877 0.009231567 0.0074132285 0.0022455852 0.0118255615 0.010714213 0.0033671062 0.005030314 0.027359009 0.0018692017 0.0016403198 0.0022023518 0.0650177 0.0030466716 0.013460795 0.022710165 0.042317707 0.021046957 0.017415365 0.0043818154 0.015647888 0.01491801 0.007967631 0.009315491 0.039098103 0.002515157 0.0033493042 0.0030339558 0.077959694 0.0053888955 0.021565756 0.026578268 0.012268066 0.0065333047 0.0048980713 0.0014470419 0.005053202 0.0044937134 0.0031229656 0.0031534832 0.012537639 0.0010604858 0.0009943644 0.0011367798 0.00987498 0.0020268757 0.0067723594 0.007960002 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1166.0 17.30446 20177.0 0.038757 0.0038162265 0.0007929821 0.0011894732 0.0019328939 0.0016355256 0.00049561384 0.0042127175 0.0034692967 0.0032710512 0.0018337711 0.0007929821 0.0024780692 0.0026267532 0.003617981 0.0010407891 0.012588591 0.008772365 0.009218417 0.0071864002 0.0065916637 0.0074342075 0.007136839 0.004708331 0.007136839 0.0061456114 0.009763592 0.0070872777 0.0079298215 0.0069881547 0.0079298215 0.008524558 0.002725876 0.005699559 0.0020320166 0.004807454 0.0039649107 0.005203945 0.007979383 0.0034692967 0.0022798236 0.005154384 0.00069385936 0.00094166625 0.009168856 0.0042127175 0.007037716 0.0055013136 0.017197799 0.0010903504 0.003617981 0.005996927 0.009466224 0.0044605243 0.001685087 0.0015859642 0.0038657878 0.0015364029 0.0019824554 0.0007929821 0.0028249987 0.0010903504 0.0010903504 0.04306884 0.0041135945 0.038905684 0.00753333 0.02904297 0.0265649 0.076572336 0.009714031 0.01610745 0.01471973 0.03910393 0.0038162265 0.0032710512 0.029786391 0.015661396 0.039252613 0.04410963 0.014868415 0.0011399118 0.050800417 0.038558755 0.062001288 0.018535957 0.0073350845 0.0073846458 0.0053526293 0.018932449 0.0030232442 0.00094166625 0.0015859642 0.000644298 0.00074342074 0.0005451752 5.6400456 2.0 0.0 0.0 4.0 198144.0 217088.0 1.0 1.0 241.0 1.0 0.0 0.0 0.0 0.0 1439183000.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 145408.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -145408.0 -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 -6.4196334 0.0 0.0 0.0 0.0 0.0 0.0 -0.14544474 0.0 3.8752065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3075345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.435135 -5.1260486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10652.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 25187.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -145381.0 -8636.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 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 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 355.0 176384.0 100.0 189748.0 0.0 0.0 0.0 0.0 0.0 0.0 9436.0 204800.0 56.0 171088.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 171144.0 0.0 0.0 1332.0 188416.0 0.0 0.0 0.0 0.0


Input: 0.07936875 0.00858625 0.0058775 0.00818625 0.0083825 0.00399625 0.00534625 0.0035025 0.00820375 0.0027075 0.0033025 0.00382375 0.005435 0.0026425 0.00227875 0.01019 0.0066475 0.0026625 0.00246 0.00237 0.00462875 0.003245 0.00230125 0.0021475 0.0035475 0.00208875 0.00203625 0.00209625 0.00297125 0.00225 0.00205375 0.00240375 0.00365625 0.001975 0.0020275 0.00353875 0.010705 0.0022125 0.00233125 0.00227625 0.00265375 0.002285 0.00219625 0.00398375 0.0023925 0.00212375 0.0020075 0.00184625 0.00302 0.0024875 0.00232 0.0116975 0.00230875 0.00210625 0.0018275 0.0021325 0.00233625 0.00331375 0.0021275 0.00502125 0.00268375 0.00222 0.0022425 0.00192875 0.00433125 0.00259375 0.0023275 0.002845 0.00262 0.01347125 0.00307625 0.0023475 0.0032525 0.00277375 0.00194875 0.0020975 0.0025575 0.0063725 0.002195 0.00194375 0.00583 0.00275375 0.00232375 0.00362875 0.00218875 0.00634 0.00439125 0.004105 0.00301 0.00275875 0.00204125 0.0024225 0.0021775 0.00479 0.002965 0.002875 0.0029575 0.0024575 0.00227625 0.00224375 0.0023 0.00338375 0.0025225 0.0019725 0.00296625 0.002735 0.00373375 0.001855 0.0024475 0.00224875 0.00221 0.0023525 0.003115 0.00185625 0.00312875 0.0028125 0.006495 0.010225 0.0024325 0.00222 0.00263875 0.00217375 0.00191 0.0021925 0.00276 0.0062575 0.0022925 0.00214125 0.0048475 0.0032525 0.002035 0.0081225 0.00367625 0.0074275 0.00235625 0.00213125 0.004025 0.012415 0.00267625 0.0270775 0.0026075 0.00840375 0.00229625 0.00221625 0.003255 0.00196625 0.00192125 0.00193625 0.00245625 0.002225 0.00211 0.00194125 0.002645 0.00218625 0.00189125 0.00209125 0.00256625 0.00266 0.0020975 0.00218625 0.005755 0.00267375 0.00197 0.00205375 0.00249375 0.00220125 0.00194 0.00203 0.0023875 0.00194375 0.00214 0.0020525 0.00306375 0.0019925 0.00200125 0.00267125 0.00408625 0.00207 0.002075 0.0020975 0.00296375 0.0026975 0.0042675 0.0024925 0.00356125 0.0029425 0.00211375 0.00214125 0.00280625 0.002795 0.002405 0.00276375 0.01092875 0.0079 0.00439375 0.00444875 0.00438125 0.00301125 0.0051025 0.00462125 0.004285 0.00419625 0.0040075 0.00281875 0.0028525 0.00224 0.00262 0.00261375 0.00428125 0.00627375 0.00283 0.0025225 0.003345 0.00214875 0.00274 0.00277375 0.003785 0.00276 0.00257125 0.00282125 0.00346625 0.00199625 0.002515 0.0023025 0.00388625 0.00253875 0.0025475 0.002295 0.0032475 0.0023575 0.0021425 0.002615 0.0090225 0.00367875 0.0032525 0.00581625 0.0054775 0.00210625 0.00255875 0.00306125 0.004645 0.00288875 0.00288375 0.00314 0.00386375 0.00246 0.00338 0.0038525 0.0062975 0.00353 0.00324375 0.0035675 0.00599625 0.00349875 0.0056025 0.03724875 0.0025641026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044846754 0.00024414062 8.764023e-06 4.3820114e-06 6.260016e-07 0.0 1.8780048e-06 1.8780048e-06 1.8780048e-06 0.0 0.0 0.0 0.00023224659 0.0 0.0 0.00014773638 0.0010873647 7.199019e-05 1.8780048e-06 1.2520032e-06 1.2520032e-06 1.06420275e-05 1.8780048e-06 1.2520032e-06 0.0 6.260016e-07 1.2520032e-06 6.260016e-07 6.635617e-05 0.0 0.0 3.5682093e-05 0.004149765 0.00026041668 0.00019781651 1.5650041e-05 8.638822e-05 2.5666066e-05 6.134816e-05 5.446214e-05 7.324219e-05 1.0016026e-05 2.3788061e-05 1.50240385e-05 5.446214e-05 2.2536058e-05 2.1284055e-05 5.6340145e-05 0.0010147486 6.260016e-07 3.130008e-06 3.130008e-06 1.8780048e-06 1.940605e-05 1.50240385e-05 8.764023e-06 1.0016026e-05 1.5650041e-05 2.5040064e-05 2.1910057e-05 3.88121e-05 2.4414063e-05 3.3804088e-05 4.5698118e-05 0.0028007312 0.00014210236 0.00014711038 0.00015337039 4.7576123e-05 2.0658053e-05 0.0001170623 5.821815e-05 3.3178087e-05 5.2584135e-05 5.1958134e-05 6.3226165e-05 7.449419e-05 4.256811e-05 2.754407e-05 1.3772035e-05 0.00156876 5.6340145e-06 8.138021e-06 7.5120192e-06 1.0016026e-05 7.5120192e-06 9.390024e-06 5.070613e-05 0.00039250302 6.7608176e-05 6.8860177e-06 5.6340145e-05 9.390024e-06 3.130008e-06 7.0738184e-05 0.00028983873 0.009808193 0.00025290466 0.00043569712 0.00029735075 0.00040126703 0.00024476662 0.0010704627 0.0007117638 0.0006291316 0.00030987078 0.00018654848 0.0003130008 0.00044571314 0.0001996945 0.00036370693 0.0009965946 0.002285532 0.0001164363 0.000110802284 3.6308094e-05 0.00025353066 0.00018905249 0.00072741386 0.00040877904 0.00032990283 0.00010579427 2.4414063e-05 7.63722e-05 0.000102664264 2.8796074e-05 7.0738184e-05 0.00026166867 0.00486278 0.00021033654 0.00023349859 0.000394381 0.00044508715 0.00033491084 0.0007230319 0.00052333734 0.00040064103 0.00027857072 0.00014147637 0.00019781651 0.00026166867 0.00022410857 0.00028983873 0.0007349259 0.007508263 0.00036808895 0.0005978315 0.00037184494 0.0005214593 0.0004682492 0.0005070613 0.00056402746 0.0009915866 0.0006028395 0.0004720052 0.0007029998 0.0007230319 0.0006122296 0.0008131761 0.0034060748 0.008509866 0.0005865635 0.0012200772 0.0007436899 0.0014022436 0.0008400942 0.00096592045 0.00069486175 0.0015881661 0.0010160006 0.0021828676 0.0016075721 0.0014448117 0.0010041066 0.0014554537 0.004224885 0.019181315 0.0035732172 0.0030949519 0.0036239233 0.003923778 0.005160131 0.0027700572 0.0048659104 0.0119672725 0.0021152594 0.0038192358 0.0032214043 0.006248748 0.0035951273 0.004713166 0.0155624 0.055419296 0.01252817 0.014330429 0.016245993 0.020442707 0.017990034 0.006588041 0.017720228 0.045606095 0.005003005 0.0063226162 0.010780999 0.029895332 0.015941758 0.020150365 0.038368266 0.03627554 0.027532803 0.027835786 0.02789025 0.02922864 0.029292492 0.027090846 0.029004533 0.033648837 0.026556866 0.026096756 0.027232321 0.030873774 0.027440155 0.028622046 0.03204502 2351.0 7.504466 17643.0 0.016380435 0.005101173 0.006688205 0.0058380095 0.009862268 0.004817775 0.0075384006 0.0077084396 0.007935158 0.005327892 0.0058380095 0.006291447 0.0063481266 0.0061780876 0.008105198 0.006744885 0.008048518 0.008105198 0.008105198 0.010825823 0.006858244 0.008218557 0.006291447 0.0064048064 0.0071416427 0.009182112 0.011165901 0.007198322 0.008331916 0.0058380095 0.012072776 0.0062347674 0.008048518 0.0147934025 0.008275237 0.011676019 0.010032307 0.008558636 0.011052542 0.008898714 0.007255002 0.010599105 0.006461486 0.011619339 0.013886527 0.011222581 0.007425041 0.006858244 0.013999887 0.007425041 0.009692229 0.020291334 0.009748909 0.0061214077 0.029983563 0.012582894 0.007991838 0.007084963 0.005554611 0.0061780876 0.0062347674 0.0061780876 0.005497931 0.010769144 0.0069716033 0.018137505 0.010995862 0.021991724 0.012412855 0.03655841 0.009012072 0.00963555 0.015813638 0.023182 0.009182112 0.006461486 0.018760981 0.0114493 0.018194186 0.019554498 0.012129457 0.004987814 0.026242703 0.016493794 0.03253415 0.014056566 0.008218557 0.0073683616 0.008955393 0.011109222 0.0059513687 0.0054412517 0.0062347674 0.010429066 0.006461486 0.0063481266 6.39796 0.0 0.0 0.0 13.0 800000.0 118784.0 1.0 0.0 38.0 1.0 1.0 0.0 0.0 0.0 1404695200.0 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 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 4608.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4608.0 0.0 95232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5787413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.4021787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1652846 0.0 6.4747596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4290.0 0.0 94736.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 7456.0 94736.0 16384.0 0.0 0.0 0.0 0.0 344.0 114688.0 28.0 4288.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4480.0 48.0 640.0 160.0 4096.0 64.0 7332.0 0.0 0.0


Input: 0.01237422 0.003388074 0.003392503 0.0034279337 0.0034367915 0.003113485 0.003202062 0.0030381945 0.00332607 0.0031312003 0.0031843467 0.0030603388 0.0032773525 0.0034412201 0.0030869117 0.0030426234 0.0032197775 0.002989477 0.0028964712 0.0030736253 0.0031046274 0.003175489 0.003206491 0.003082483 0.0034235048 0.003268495 0.0028477537 0.0031356292 0.003450078 0.0030071924 0.0029451884 0.0030691964 0.0034190759 0.0029230441 0.0031312003 0.0033526432 0.0033526432 0.002989477 0.0030559099 0.0032374929 0.003233064 0.0031267717 0.0032374929 0.0030603388 0.0034013605 0.0031356292 0.0031179138 0.0031799178 0.0033172122 0.0032596372 0.0031932043 0.0031887756 0.0031046274 0.0030293367 0.00317106 0.003047052 0.0032507796 0.0031932043 0.003109056 0.0029496173 0.003020479 0.0028211805 0.0030027635 0.0029363309 0.003202062 0.0030603388 0.0031843467 0.0031887756 0.0036050878 0.0031622024 0.003051481 0.0030293367 0.003144487 0.0030691964 0.0030249078 0.0031666313 0.0033127835 0.0031489157 0.0030957696 0.0030160502 0.0033482143 0.003113485 0.003144487 0.0030603388 0.0029717616 0.002985048 0.0027237458 0.0030337656 0.0031046274 0.0031179138 0.0028256094 0.0030160502 0.0031489157 0.0031312003 0.0031622024 0.0028876134 0.0032994968 0.0033526432 0.0031223428 0.0032242064 0.0033792162 0.0034855087 0.0030913407 0.002927473 0.0032773525 0.003109056 0.0031046274 0.003109056 0.0034013605 0.0031843467 0.003113485 0.0031489157 0.0033482143 0.003047052 0.0032463507 0.0030559099 0.0032463507 0.0032109197 0.0030957696 0.0030736253 0.0032596372 0.0031312003 0.0030603388 0.0027990362 0.0030293367 0.0030337656 0.0028300383 0.002807894 0.0033039257 0.003264066 0.0030249078 0.0032906393 0.0034279337 0.0032817814 0.0031046274 0.0030426234 0.0031666313 0.0033747875 0.003113485 0.0040125423 0.003175489 0.0030559099 0.003082483 0.0030426234 0.0030647675 0.003268495 0.0029230441 0.003202062 0.0030116213 0.0028167516 0.0029673327 0.0030603388 0.0031799178 0.0032463507 0.0029363309 0.0030736253 0.0029540462 0.0030691964 0.0029673327 0.0030913407 0.0029540462 0.003233064 0.0029983348 0.002993906 0.0030337656 0.0029230441 0.0031577735 0.0032109197 0.0030337656 0.0030869117 0.0029363309 0.0031179138 0.0031001985 0.0030957696 0.0029407595 0.0027636054 0.0032906393 0.0031356292 0.0030293367 0.0030559099 0.0031267717 0.0029097577 0.0033437854 0.0032153486 0.19862086 0.0029097577 0.0029407595 0.003268495 0.0029496173 0.0029717616 0.0029540462 0.0030116213 0.00332607 0.0033482143 0.0032817814 0.0032109197 0.0031577735 0.003113485 0.0033969318 0.003047052 0.003047052 0.0030647675 0.0029230441 0.003109056 0.0030691964 0.0029761905 0.003202062 0.0030337656 0.0031932043 0.0030337656 0.0028920423 0.0030603388 0.002874327 0.0029230441 0.0029540462 0.003051481 0.003082483 0.0031312003 0.0032419218 0.0031356292 0.0031533446 0.0030957696 0.0028256094 0.002812323 0.003113485 0.003082483 0.0029717616 0.0030071924 0.0031267717 0.002989477 0.002985048 0.0029761905 0.0030957696 0.0030337656 0.002874327 0.0030736253 0.0028876134 0.0028344672 0.003020479 0.0029629038 0.0032109197 0.0029761905 0.0030160502 0.0030736253 0.0029097577 0.002807894 0.003109056 0.0028566115 0.0030603388 0.0030426234 0.0026174532 0.0029806194 0.0029761905 0.0030957696 0.0028167516 0.0035253684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00187063 0.00013823487 0.00032552084 0.00018282677 0.0002162707 0.00010479095 0.00061090896 0.00036788313 0.00024302583 8.2495004e-05 3.5673515e-05 1.5607164e-05 6.2428655e-05 2.8984732e-05 4.4591896e-05 0.00023633704 0.0019219107 0.00014715326 0.00014715326 0.0001739084 0.00017613798 0.00012485731 0.00026309217 0.00016053082 0.00014938285 0.00015384203 0.000111479734 0.00057523546 0.00013154608 9.1413385e-05 0.00010925014 0.0001293165 0.0013712008 0.0002073523 0.0002541738 0.00013154608 0.00035896475 0.00028092894 0.00031437285 0.00027424016 0.00064435287 1.5607164e-05 1.7836757e-05 4.682149e-05 0.00018728596 7.803582e-05 0.00016499001 0.00021850028 0.04644692 0.04526969 0.045969784 0.045080177 0.045626428 0.04427529 0.04605228 0.044433594 0.046301994 0.044854987 0.044716753 0.2267052 0.046132546 0.04468554 0.044009972 0.043548446 0.004862746 0.0043878425 0.004318725 0.0040690103 0.00434771 0.004285281 0.0039619897 0.0041024545 0.0047334298 0.003955301 0.003999893 0.01903628 0.0041247504 0.0038995612 0.004022189 0.0040846174 46.0 15.543478 715.0 0.06713287 0.0013986015 0.002797203 0.0 0.005594406 0.0 0.0 0.01958042 0.0013986015 0.0 0.0 0.0 0.0013986015 0.006993007 0.016783217 0.006993007 0.005594406 0.0041958042 0.002797203 0.016783217 0.002797203 0.006993007 0.0 0.0 0.002797203 0.0013986015 0.005594406 0.0 0.016783217 0.012587412 0.013986014 0.002797203 0.0041958042 0.0083916085 0.0 0.0041958042 0.005594406 0.006993007 0.00979021 0.0083916085 0.00979021 0.0041958042 0.0 0.002797203 0.006993007 0.002797203 0.0041958042 0.0013986015 0.00979021 0.0 0.005594406 0.006993007 0.0041958042 0.005594406 0.0083916085 0.006993007 0.0 0.0013986015 0.0013986015 0.0013986015 0.0 0.0013986015 0.0013986015 0.002797203 0.0013986015 0.04195804 0.005594406 0.032167833 0.023776224 0.1020979 0.0083916085 0.006993007 0.0083916085 0.036363635 0.0013986015 0.0013986015 0.043356642 0.026573427 0.032167833 0.03916084 0.005594406 0.0041958042 0.053146854 0.06013986 0.043356642 0.025174825 0.012587412 0.0013986015 0.006993007 0.0083916085 0.0013986015 0.0 0.0013986015 0.002797203 0.0 0.0 5.367626 0.0 0.0 0.0 1.0 225792.0 245760.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1537403400.0 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 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -222720.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0782433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.777763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1071057 0.0 4.6429935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 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 -222594.0 0.0 896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 229452.0 896.0 237568.0 0.0 0.0 0.0 0.0 48.0 241664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 229376.0 0.0 0.0 0.0 0.0