Input: 0.24606235 0.015982969 0.011254754 0.021487374 0.017384171 0.016265014 0.0144508965 0.020541957 0.023232672 0.008193993 0.013718706 0.005751477 0.013930804 0.00168889 0.0009454174 0.0025034382 0.005436714 0.0014452025 0.00083372724 0.0010300311 0.002680563 0.0026354357 0.0014373051 0.00064644887 0.0019021166 0.0005505533 0.00046932415 0.00068706344 0.0018479638 0.0013086923 0.0005234769 0.0004907596 0.0033913183 0.0004715805 0.0012195659 0.0007807026 0.0054446114 0.0009454174 0.0013786397 0.0005956806 0.001233104 0.00051557965 0.0005832706 0.0010729021 0.0010176211 0.0007163962 0.0011891049 0.0020611903 0.0024673364 0.000770549 0.0009758783 0.003285269 0.0016866337 0.00077393354 0.00062162883 0.0005956806 0.0013154614 0.0012771032 0.001430536 0.0019506285 0.0010142366 0.0010153648 0.0005686043 0.00090029003 0.0049786717 0.0039621787 0.0014756634 0.0014587407 0.004316428 0.008765982 0.002553078 0.0009702374 0.0016843772 0.0011259266 0.0005787579 0.0006317825 0.0018129902 0.005959063 0.0010503384 0.00083823997 0.006614537 0.0037387987 0.0024774899 0.003223219 0.0017971955 0.0044066827 0.0034860855 0.0028644567 0.0014508434 0.0020318576 0.001016493 0.001436177 0.0017148382 0.0022462124 0.0024436445 0.002891533 0.0015568925 0.0039915117 0.0020702158 0.0025440527 0.0033371653 0.0062975176 0.002380466 0.0014339206 0.0031228105 0.004179918 0.003507521 0.0016302245 0.0034138819 0.0020002685 0.0027651766 0.0032660898 0.0025982056 0.0008946491 0.004666165 0.0037805412 0.008137584 0.0064261304 0.0017926828 0.0017238637 0.0017249918 0.0017340173 0.0008687009 0.0010672611 0.0020228322 0.0026151282 0.001503868 0.00093300734 0.0030607604 0.0017238637 0.0016448909 0.00578081 0.0025790264 0.004384119 0.00088111096 0.00084839365 0.0013414096 0.0065299235 0.00086757273 0.023764048 0.0013775114 0.007323036 0.00068931986 0.0007649081 0.0026173845 0.0007570108 0.00071413984 0.0007773181 0.0010390566 0.0009657247 0.0012601805 0.00071865256 0.001128183 0.0011247984 0.00064870523 0.00064870523 0.0010841839 0.0006938326 0.00071978074 0.00072203716 0.0012985386 0.001146234 0.0009025464 0.0008799828 0.0012906414 0.0011665412 0.0012026432 0.0011044912 0.0011699258 0.00071865256 0.001060492 0.0009950574 0.0012624369 0.0012974105 0.0009623401 0.0009713656 0.001368486 0.0009375201 0.0009916729 0.0007976254 0.0011609003 0.0007863436 0.0008562909 0.0007716772 0.0015207907 0.0007919845 0.00077844627 0.00086644455 0.0010638766 0.0008698291 0.00091382826 0.0008833673 0.005197539 0.0019799613 0.002520361 0.0019427312 0.0019055011 0.0008303427 0.001941603 0.004537552 0.0015230471 0.0017441709 0.0010548511 0.00084275275 0.004516117 0.0008585473 0.0012308477 0.0010379284 0.0014508434 0.0014970988 0.0011947458 0.00089239277 0.001023262 0.00068593526 0.001060492 0.00077393354 0.0013876652 0.0007524981 0.00063065434 0.000986032 0.0011496185 0.000585527 0.000665628 0.00064193615 0.0017498119 0.0006159879 0.00071413984 0.00056634785 0.0012150531 0.0010255184 0.0007513699 0.00053363055 0.007083861 0.001516278 0.0007524981 0.005305845 0.0028441495 0.00054829696 0.0006001934 0.0010469538 0.002373697 0.0010514666 0.00074008806 0.0011597722 0.0025079509 0.00060244976 0.0011304393 0.0012432577 0.0034093692 0.00064757705 0.0005787579 0.00088788004 0.005875577 0.00062050065 0.0013966906 0.11131782 0.03463406 3.1647858e-05 7.9119645e-06 4.5211227e-06 8.477105e-06 1.1302807e-06 6.2165436e-06 6.781684e-06 2.8257016e-06 2.2605614e-06 2.2605614e-06 1.1302807e-06 2.2605614e-06 1.1302807e-06 5.6514034e-07 9.042245e-06 0.007736206 0.00011189779 1.2998228e-05 1.695421e-05 5.651403e-06 5.651403e-06 5.086263e-06 9.042245e-06 3.390842e-05 8.477105e-06 3.390842e-06 5.086263e-06 5.651403e-06 7.3468245e-06 3.390842e-06 0.00013111255 0.011571813 0.00035603842 0.00010455096 8.759675e-05 0.000103985825 5.8209454e-05 4.860207e-05 3.390842e-05 2.8257016e-05 2.8822156e-05 2.0910193e-05 1.864963e-05 2.7126736e-05 2.3170755e-05 1.2998228e-05 0.00020684136 0.011784871 0.0007092511 0.00031591344 5.9339734e-05 7.29031e-05 5.255805e-05 0.00012489602 0.00013676396 3.2778138e-05 3.447356e-05 4.916721e-05 6.216544e-05 4.3515807e-05 3.6734124e-05 3.334328e-05 0.0003402145 0.016454626 0.0003379539 0.0005707917 0.00039446796 0.0005645752 0.00064369483 0.0004526774 0.00054253475 0.0001751935 2.6561596e-05 4.4080945e-05 3.447356e-05 4.3515807e-05 3.50387e-05 3.334328e-05 0.00047980415 0.015543055 0.0002746582 0.00023509839 0.00018819173 0.00041989927 0.00021531846 0.00086127385 0.00043685347 0.0003068712 0.00016332556 9.833442e-05 0.00010737666 0.00011133264 8.533619e-05 0.0013348615 0.00045154712 0.027799819 0.00047867387 0.00036677608 0.00047302246 0.00036112466 0.0020192463 0.005383527 0.00049280236 0.00026957193 0.00011189779 0.00015880444 0.00012772171 0.00020062483 0.00013958967 0.00012263545 0.0077904593 0.07101384 0.0009036594 0.0013422082 0.00040859648 0.0022260877 0.0028347438 0.010684543 0.009337248 0.0020186813 0.00020401565 0.0010229041 0.0015044035 0.0015637433 0.0015965215 0.0020910192 0.025507044 0.08710677 0.0015654387 0.0018412272 0.00076746056 0.0016010426 0.001066985 0.0037310566 0.0037078857 0.004183169 0.005935669 0.0066211843 0.005380136 0.00473192 0.0033445004 0.003511217 0.041987665 0.023489492 0.0005787037 0.0013845938 0.0008505362 0.0026962846 0.0016552961 0.004906548 0.0031020553 0.0015049687 0.0010138617 0.00064878113 0.0004458957 0.0013518156 0.00054818613 0.0010347719 0.0045567267 0.016787494 0.0006052653 0.0013676396 0.001083374 0.0025538693 0.0020802815 0.0042487253 0.0029336435 0.0014851888 0.00067025644 0.0006696913 0.00045437284 0.0011811433 0.00047697846 0.0006222195 0.0032891168 0.01921251 0.0014507152 0.0017632379 0.003700539 0.0025719537 0.0024572301 0.0032806396 0.0022130895 0.0026572898 0.0011093705 0.0012986925 0.0005939625 0.001598782 0.0009087457 0.0010223389 0.0062442357 0.02476671 0.0023091633 0.0024142796 0.002428973 0.0066064904 0.005153515 0.004668624 0.0038469103 0.008056075 0.0017225477 0.00281892 0.0018039279 0.005525377 0.0015795672 0.002556695 0.011705186 0.050368134 0.010138618 0.006620619 0.006705955 0.016342727 0.019565724 0.005904586 0.01147687 0.032510262 0.003044411 0.002589473 0.0034744828 0.012751262 0.00430863 0.010508784 0.025911685 0.013799597 0.003861604 0.0040684454 0.0033190693 0.005828292 0.0058622006 0.003036499 0.0041289153 0.010136922 0.0013444689 0.0012726961 0.0012071398 0.004365709 0.0021175807 0.003870081 0.007012261 0.00037016693 0.00024979204 0.00023170754 0.00019553855 0.0002690068 0.00024357549 0.00022718642 0.0001554136 0.00027013707 0.00022096987 0.00014128508 0.00016219528 0.00021475332 0.00019723398 0.00015484846 0.00016841182 2667.0 13.480315 35952.0 0.032209612 0.0013072987 0.01629951 0.0030318203 0.01040276 0.0030318203 0.0021695595 0.004144415 0.0027536715 0.0013907432 0.001641077 0.0024198932 0.0035046728 0.0035324877 0.014547174 0.0027258566 0.0127670225 0.0052570095 0.007343124 0.00812194 0.0045060082 0.002475523 0.0033099689 0.0019192257 0.004088785 0.0036159323 0.004339119 0.0029761905 0.0030596352 0.0037828216 0.0025589676 0.009540498 0.010514019 0.013518024 0.004088785 0.010374945 0.030957945 0.016049176 0.0067033824 0.007649088 0.0039218958 0.008455719 0.0017523364 0.005173565 0.0073153093 0.0067033824 0.005702047 0.006008011 0.013212061 0.01023587 0.009540498 0.016438585 0.00920672 0.0050901202 0.0127670225 0.010792167 0.007621273 0.0022530041 0.0021139297 0.0008622608 0.004088785 0.001446373 0.0010569649 0.020861149 0.0019748553 0.037216287 0.012182911 0.021250557 0.021222742 0.06327882 0.009178905 0.010625279 0.010541834 0.034212284 0.005340454 0.0026145973 0.023976414 0.014519359 0.028120827 0.03179239 0.016661104 0.0006675568 0.043474633 0.031569872 0.046645526 0.012461059 0.0118213175 0.0120438365 0.00812194 0.011292835 0.0019192257 0.00102915 0.005702047 0.00083444593 0.009568313 0.00089007564 5.940796 1.0 21.0 0.0 8.0 886381.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0107484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13005926 0.008260652 0.0054212697 0.005173464 0.008275881 0.0030290445 0.0035980286 0.0031328737 0.009746103 0.0028490738 0.0033917546 0.0018744635 0.0065993853 0.003748927 0.004281917 0.004920121 0.007180829 0.009135587 0.0013580862 0.0014646843 0.0038818284 0.0033446853 0.0014522247 0.0014951408 0.005699532 0.0018149348 0.0016225047 0.0015491319 0.007911786 0.0018966137 0.0015795885 0.0020378216 0.013085251 0.0017817095 0.0072569703 0.0050973226 0.015532851 0.0015159067 0.0013442424 0.0011808843 0.0026898691 0.0010701332 0.0012501038 0.00224548 0.001837085 0.0011933439 0.002231636 0.0017249495 0.004999031 0.0030678073 0.0016723427 0.0040922556 0.0024240662 0.0013567018 0.0012528726 0.0011711937 0.003009663 0.0057770577 0.0015698979 0.0036077194 0.0035288092 0.0015449788 0.0025514301 0.0017886314 0.004907661 0.0036257163 0.0031397957 0.0028006202 0.018307168 0.00571476 0.004987956 0.0054378826 0.002885068 0.0021430352 0.0012667165 0.0015200598 0.0040230365 0.0022094857 0.0019796772 0.0015491319 0.0066852174 0.002932137 0.0029833596 0.0032020933 0.0038084558 0.0025625052 0.004309605 0.003168868 0.0015283661 0.0016681895 0.0011310463 0.0026040368 0.0021001191 0.003073345 0.0030899576 0.004161475 0.0016225047 0.00793809 0.0020142868 0.0046280143 0.0038472188 0.007075615 0.0036229477 0.0020862753 0.0054461886 0.005069635 0.0036644794 0.001968602 0.004771991 0.0027438602 0.004846748 0.0047816816 0.004579561 0.0025002076 0.006764128 0.0060179415 0.009952377 0.006481712 0.0020170556 0.002000443 0.0019450674 0.0016294266 0.0013345516 0.001254257 0.002927984 0.0022980869 0.0020973503 0.004039649 0.002383919 0.0027757012 0.00224548 0.012256001 0.0041116374 0.005609547 0.0028961431 0.003556497 0.00906083 0.010391229 0.0029875129 0.020484813 0.0038043028 0.0052966746 0.0046418584 0.0019949055 0.0069980896 0.0035966442 0.00096491957 0.0011518121 0.0016418861 0.0013193233 0.0011241244 0.00112274 0.0028712242 0.0016751115 0.00096353516 0.0009621508 0.0012764073 0.0010189108 0.0009040064 0.0009247723 0.0015975856 0.0020018273 0.0010286015 0.0010549049 0.0016225047 0.0016820334 0.0009441537 0.0010202952 0.0012431819 0.0010992053 0.0011615029 0.0012916356 0.0011199712 0.0012002658 0.0014203838 0.0025182047 0.0017111056 0.0011102805 0.0009233879 0.0007184982 0.0015034472 0.0010286015 0.0016418861 0.001680649 0.0023756125 0.0010465985 0.0014951408 0.0014757593 0.0010645956 0.00171249 0.0018523133 0.0036755544 0.006614614 0.004542182 0.0030179694 0.006293435 0.00606778 0.0009995293 0.001648808 0.005772905 0.0049754963 0.0023756125 0.0019076889 0.0010078356 0.0035578813 0.0008195587 0.0012985575 0.0007891021 0.0023437717 0.001932608 0.0025929618 0.0017595593 0.0011088961 0.0013470111 0.0015851262 0.0027023286 0.002533433 0.0018979982 0.0012805604 0.0030124318 0.0017581749 0.0023783813 0.0013248608 0.0028698398 0.0024005317 0.0023589998 0.0022357893 0.0013553174 0.003926129 0.0011933439 0.0024919014 0.000959382 0.006609076 0.0033945234 0.0013691613 0.004335908 0.0022011795 0.0020032118 0.0011947282 0.0022302517 0.002295318 0.0015975856 0.0015712823 0.0017138744 0.0018426226 0.0022800898 0.0026552593 0.003748927 0.0031937868 0.0021845668 0.0028933743 0.0030678073 0.0024074535 0.0040950244 0.004860592 0.06346734 0.018463828 0.0 0.0 0.0 1.3871627e-06 0.0 0.0 0.0 6.9358134e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040962915 8.322976e-06 6.242232e-06 1.595237e-05 2.2194603e-05 5.5486507e-06 2.080744e-05 2.080744e-05 1.1790882e-05 3.4679067e-06 8.322976e-06 2.7743254e-06 4.855069e-06 5.5486507e-06 4.855069e-06 2.3581764e-05 0.003893072 2.5662508e-05 1.10973015e-05 7.6293945e-06 4.022772e-05 2.150102e-05 6.589023e-05 3.675981e-05 7.837469e-05 5.5486507e-06 2.7049671e-05 8.322976e-06 6.242232e-06 7.6293945e-06 6.9358134e-06 1.9420277e-05 0.0062068594 5.0631435e-05 8.392334e-05 4.716353e-05 7.005171e-05 3.3291904e-05 0.00019004128 9.918213e-05 8.877841e-05 4.5776367e-05 4.022772e-05 2.4275347e-05 3.2598324e-05 3.8840553e-05 2.150102e-05 2.9130415e-05 0.004791953 4.716353e-05 5.6180088e-05 5.756725e-05 0.00010126287 0.00011027943 0.00018310547 0.0001151345 3.4679066e-05 2.2194603e-05 3.121116e-05 1.8033114e-05 2.7743254e-05 1.9420277e-05 1.8726696e-05 4.716353e-05 0.0056277188 0.00019420277 8.600408e-05 0.0001040372 0.00022541393 0.00012831255 0.00021778453 9.779497e-05 5.4099342e-05 0.00010473078 3.121116e-05 3.675981e-05 5.4099342e-05 2.7743254e-05 3.8840553e-05 7.351962e-05 0.0077549326 0.00010265003 0.00032598322 0.0001518943 0.00045498935 0.00011444092 0.0008114902 0.0004896684 0.00023165616 8.461692e-05 3.675981e-05 3.190474e-05 5.687367e-05 3.0517578e-05 2.8436834e-05 0.00065682153 0.0107706245 0.00056180084 0.0033527722 0.00090373645 0.0010292747 0.0006048029 0.008930553 0.004103921 0.0002566251 0.00012137673 0.00018587979 0.00017547607 0.00013386119 0.00022125244 0.0001560558 0.0040033516 0.012327715 0.00027535178 0.005836487 0.0023429177 0.0019392534 0.0011617487 0.015809493 0.0069621694 0.000439037 7.5600365e-05 0.00010126287 0.00010056929 0.00013871626 7.906827e-05 7.837469e-05 0.0020481457 0.007670316 0.00025454434 0.0011721525 0.0008475564 0.0014509722 0.0007303411 0.0041392935 0.0020432905 0.0002975464 0.00031419235 0.00027396463 0.00040297073 0.00036135587 0.0002593994 0.00024691495 0.0036829168 0.0038660222 0.0002080744 0.0006949685 0.00045568292 0.001036904 0.00041753595 0.0022527522 0.0011367798 0.00018587979 0.00012345747 0.00013871626 0.00017200816 0.00013108687 0.00019004128 0.00015397505 0.0016202059 0.0068629873 0.0012907549 0.00070051715 0.00050354004 0.0041767466 0.0007254861 0.0016021729 0.0013483221 0.0045582163 0.0004314076 0.00059023773 0.0011548129 0.0022042014 0.0010958585 0.0014856512 0.006780451 0.0040262397 0.0008759932 0.00092246314 0.00086073444 0.0014877319 0.0011575873 0.0013212725 0.001318498 0.0022492842 0.0005056208 0.0005992543 0.0010036122 0.001232494 0.0010979392 0.0010688088 0.007261103 0.044612538 0.013252952 0.013787703 0.009070656 0.016192349 0.012730685 0.006706931 0.009727478 0.031161916 0.0057692095 0.0025634766 0.0029581243 0.01457353 0.005388433 0.00893957 0.017053084 0.048301004 0.019541653 0.018902171 0.014556885 0.022155069 0.019791342 0.010881597 0.016319275 0.038352966 0.009561018 0.0049861562 0.0053766426 0.020656932 0.009502757 0.014196223 0.029475125 0.014769814 0.016828364 0.015129783 0.013233531 0.016151428 0.011254051 0.012777849 0.013950694 0.01668063 0.01140317 0.012433139 0.013594887 0.0121564 0.014508334 0.013887579 0.031297162 3465.0 17.91775 62085.0 0.09506322 0.000966417 0.047660466 0.0035113152 0.010630587 0.0028187162 0.0011758073 0.00088588224 0.0024482564 0.0008697753 0.0014496255 0.0007731336 0.004397197 0.0018684062 0.011001047 0.0055568977 0.006797133 0.0038012401 0.0047032293 0.0043649836 0.0034307805 0.0023677216 0.0017395506 0.001304663 0.005089796 0.0026576468 0.001932834 0.0020777965 0.01626802 0.002899251 0.015655955 0.0016268019 0.0014657325 0.006346138 0.0043005557 0.00549247 0.054425385 0.005927358 0.00549247 0.005540791 0.0042683417 0.007119272 0.00072481274 0.0011274865 0.0063944594 0.004638802 0.0027542885 0.002254973 0.010372876 0.00454216 0.0076830154 0.0071998066 0.007779657 0.003946203 0.005266973 0.0054280423 0.0012080213 0.0022066522 0.00072481274 0.0016912298 0.0020455827 0.0020133688 0.0018522993 0.0037207054 0.00075702666 0.04331159 0.009583635 0.018571313 0.02234034 0.06299428 0.011129903 0.012660063 0.022485303 0.042055245 0.0031247484 0.007844085 0.02973343 0.014496255 0.036820486 0.034340017 0.020246437 0.0013690908 0.030119997 0.02662479 0.044712894 0.017878715 0.0054280423 0.0075541595 0.0037368124 0.00892325 0.0014496255 0.00066038495 0.0016912298 0.0008536684 0.0013529838 0.0014013046 5.5453253 6.0 2.0 0.0 4.0 722340.0 421888.0 0.0 0.0 237.0 0.0 1.0 0.0 0.0 0.0 1228972500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 286720.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286720.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1660233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.236261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.63534 0.0 4.9834027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20666.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286532.0 0.0 58080.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 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 -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 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -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 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 306224.0 58080.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 976.0 290816.0 0.0 0.0 0.0 0.0


Input: 0.20227668 0.011758207 0.005741004 0.005741004 0.010801373 0.0036991003 0.0034426295 0.0031565656 0.010988794 0.0021306819 0.0021898674 0.0026732166 0.007516572 0.002180003 0.0013218118 0.010258839 0.0073883366 0.00086805556 0.00093710545 0.0011639836 0.0029198232 0.0031269728 0.0015289615 0.0008877841 0.0032157514 0.001035748 0.0010752052 0.0010949337 0.0019629893 0.0007595486 0.0006115846 0.0013908617 0.008019649 0.0016177399 0.0009666982 0.0017952967 0.004152857 0.0012330335 0.0007595486 0.0012724905 0.0025647096 0.0006609059 0.0010850695 0.002170139 0.0020419033 0.0058396463 0.001144255 0.00062144885 0.004794034 0.0023674243 0.0019235322 0.007467251 0.0029395518 0.002574574 0.0024167455 0.002692945 0.004468513 0.0038076073 0.0024068814 0.00552399 0.0027126735 0.002653488 0.0017657039 0.0038470645 0.004162721 0.02008365 0.0011541193 0.0016867898 0.0024266099 0.0118272565 0.0038076073 0.001696654 0.0022589173 0.0016078757 0.0013514047 0.0012133049 0.002022175 0.004616477 0.0018840751 0.0011245265 0.007585622 0.0028507733 0.0013316761 0.004360006 0.0018150252 0.004833491 0.0046953913 0.0038865216 0.0018544823 0.00552399 0.00081873423 0.0019136679 0.0014303188 0.0056818184 0.0039654355 0.0030086017 0.0019235322 0.004468513 0.0013809975 0.0027718593 0.002979009 0.0075067077 0.005060369 0.0011738478 0.0035412721 0.0036596432 0.0056522256 0.0013514047 0.003935843 0.0020517677 0.004024621 0.004596749 0.0026830807 0.00049321336 0.005563447 0.0051392834 0.015407986 0.014825994 0.0023476956 0.0014796401 0.0016177399 0.002071496 0.0012330335 0.00043402778 0.0013218118 0.002584438 0.0013612689 0.0023378315 0.003383444 0.0025153882 0.00062144885 0.016581833 0.0034919507 0.010495581 0.0009173769 0.0009666982 0.0026732166 0.010357481 0.0021208175 0.03353851 0.000996291 0.008749605 0.0005918561 0.00038470645 0.0028409092 0.0007200915 0.00025647096 0.00037484217 0.0013218118 0.0010850695 0.00034524937 0.0008384627 0.0010258838 0.00035511365 0.00043402778 0.0014204546 0.001440183 0.0011541193 0.0007595486 0.00046362058 0.0017262468 0.0021898674 0.0004833491 0.00074968435 0.00093710545 0.00060172036 0.0003057923 0.00032552084 0.0015684186 0.00062144885 0.0003353851 0.0006707702 0.00089764834 0.00049321336 0.0004833491 0.0004833491 0.0017459753 0.00037484217 0.00043402778 0.0005228062 0.001035748 0.000996291 0.0012034407 0.00093710545 0.0020419033 0.000848327 0.0009075126 0.00063131313 0.0010752052 0.0011343908 0.0009864267 0.00087791984 0.009716304 0.0052872472 0.0021898674 0.007694129 0.0036497791 0.0010258838 0.0031171085 0.004093671 0.003570865 0.002801452 0.0011935764 0.0008285985 0.0046559344 0.0011343908 0.0016670612 0.0013218118 0.00235756 0.0014895045 0.0017262468 0.0014796401 0.0011935764 0.00043402778 0.0009173769 0.00086805556 0.0026041667 0.0021997318 0.0007200915 0.0017657039 0.0014697759 0.0022786458 0.00073982007 0.0009075126 0.0038865216 0.0013809975 0.0007891414 0.0007102273 0.00235756 0.001953125 0.0006411774 0.0006411774 0.016019572 0.002574574 0.00062144885 0.0066189235 0.005671954 0.0005228062 0.0007792771 0.00063131313 0.0045572915 0.0011738478 0.00086805556 0.0015684186 0.0025647096 0.0003649779 0.0035511365 0.0022983744 0.0066978377 0.001844618 0.0014500474 0.0009666982 0.005741004 0.0014599116 0.004941998 0.053592566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008081553 0.00028400033 0.00031389509 2.491231e-05 0.00034877233 0.00013950893 0.00015943877 0.00017936862 4.982462e-05 0.0001444914 0.00014947385 2.491231e-05 1.4947385e-05 4.982462e-05 2.989477e-05 0.0002092634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025739398 0.00039361446 0.002037827 0.00029396525 0.002027862 0.0008071588 0.005490673 0.0030492665 9.466677e-05 0.000194316 0.00018435108 6.4772e-05 5.978954e-05 6.975447e-05 5.978954e-05 0.00024912308 0.016935388 0.00031389509 0.0016840721 0.00053810584 0.0031140386 0.0013651946 0.003592355 0.0023218272 0.00010961416 0.00010961416 9.964924e-05 9.964924e-05 0.00011459662 9.964924e-05 6.975447e-05 4.4842156e-05 0.03033821 0.0005530533 0.0031688455 0.0014498964 0.0050571985 0.002072704 0.008574816 0.005286392 0.00048828125 0.00051319355 0.00033382492 0.0003637197 0.0004583865 0.0004583865 0.00019929848 0.0019082829 0.023691606 0.00084203604 0.0037617586 0.0020677217 0.00586934 0.0028848452 0.011519452 0.006148358 0.0011360013 0.00044842155 0.00034378987 0.00039361446 0.00068757974 0.00054807076 0.00043347417 0.00044842155 0.02983498 0.002481266 0.0033282845 0.019028021 0.003462811 0.0025111607 0.006601762 0.004748286 0.00358239 0.0017189493 0.0014548788 0.0017737563 0.0029944596 0.002192283 0.0021773358 0.0039461097 0.012859734 0.001175861 0.0012256856 0.0026307397 0.0020577568 0.0014548788 0.0012555803 0.0015694754 0.007134885 0.0014947385 0.0012107382 0.0018484934 0.0023666692 0.0014598613 0.0015395806 0.0097357305 0.045664262 0.006507095 0.0057796557 0.0088488525 0.011255381 0.010577766 0.005196708 0.0106226085 0.02746333 0.002785196 0.002675582 0.0037567762 0.013811384 0.004842953 0.010527941 0.02356206 0.086390905 0.016247807 0.0134376995 0.01674107 0.028933154 0.033208106 0.012585699 0.025938695 0.058404416 0.006472218 0.0053461813 0.0065818317 0.03274474 0.012376435 0.030029297 0.053337254 0.0042550224 0.0011708785 0.0012555803 0.0010313696 0.0011957908 0.00090182555 0.0013203523 0.001370177 0.00080217636 0.00094666774 0.0010911591 0.0008320711 0.0010512994 0.0011160715 0.0010662468 0.0010014748 461.0 14.030369 6468.0 0.04529994 0.0017006802 0.001546073 0.0018552876 0.007884972 0.0021645022 0.0006184292 0.008658009 0.0051020407 0.0018552876 0.0018552876 0.001546073 0.0038651824 0.0027829313 0.009121831 0.0013914657 0.013605442 0.011131725 0.0064935065 0.006648114 0.010204081 0.011131725 0.011286332 0.013296228 0.019635126 0.014533086 0.010822511 0.008194187 0.012368584 0.0051020407 0.006802721 0.006184292 0.0043290043 0.010977118 0.0023191094 0.010822511 0.00572047 0.006648114 0.008348794 0.00572047 0.0060296846 0.006648114 0.0009276438 0.002009895 0.006184292 0.004174397 0.0049474337 0.0027829313 0.018552875 0.003555968 0.0051020407 0.014996908 0.010667903 0.0027829313 0.007111936 0.008658009 0.006802721 0.0018552876 0.0023191094 0.002009895 0.004483612 0.002009895 0.0021645022 0.006648114 0.008967224 0.03664193 0.006338899 0.0275201 0.025046382 0.067718 0.006802721 0.008967224 0.010049474 0.032931354 0.003092146 0.0037105752 0.033704393 0.010358689 0.028756958 0.035714287 0.012677798 0.001546073 0.045454547 0.028447744 0.051638838 0.017316017 0.009121831 0.003092146 0.0095856525 0.0097402595 0.0029375385 0.0010822511 0.0024737169 0.0010822511 0.0017006802 0.0027829313 5.8894296 1.0 0.0 0.0 4.0 101376.0 122880.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1540926300.0 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 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 -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 66048.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66560.0 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 -6.532836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.318435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.028774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.812736 0.0 4.867686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65819.0 0.0 480.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 98716.0 480.0 114688.0 0.0 0.0 0.0 0.0 3896.0 118784.0 84.0 96720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 96808.0 0.0 0.0 308.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.018901188 0.006774602 0.0062958924 0.00632693 0.0068447106 0.0059322044 0.008074896 0.006938189 0.0047235624 0.003115448 0.004960179 0.005181824 0.004424871 0.0036701087 0.0069893096 0.007462542 0.0054629883 0.007811259 0.0054440005 0.0062374687 0.006324739 0.006391561 0.007445745 0.0070185214 0.0041389596 0.003567502 0.004688143 0.005852602 0.0038888326 0.0036748557 0.0061483723 0.0068198806 0.0068297395 0.008328674 0.006379146 0.007432965 0.009549001 0.008802272 0.006341171 0.0072226394 0.007857633 0.007288366 0.007981054 0.00653543 0.0084688915 0.0097648045 0.007113095 0.0069228527 0.007678345 0.007867857 0.0057850494 0.0071543567 0.0089771785 0.009167421 0.005851872 0.007213876 0.0075373976 0.00807234 0.008036556 0.0068593165 0.008892464 0.009364601 0.0067632827 0.0062601077 0.0043777665 0.004508855 0.0037873213 0.0035759003 0.0028978193 0.0030683437 0.0027221828 0.0028686074 0.0031705855 0.0044387467 0.0019367483 0.0033137237 0.0010600265 0.0024808196 0.0021635054 0.0023720053 0.0054308553 0.0039863274 0.004244122 0.0036744904 0.0027762249 0.0036693783 0.0019699768 0.0028262502 0.0034601481 0.0039377627 0.001960848 0.0025155088 0.0017654935 0.0028693378 0.002548007 0.0018670048 0.0062451367 0.0063871797 0.010752166 0.005833249 0.004985374 0.0043774014 0.0083294045 0.006006695 0.008252724 0.0074187242 0.0075052646 0.009565799 0.0066413227 0.005521777 0.007312831 0.009243007 0.007273395 0.006533604 0.009816655 0.006275444 0.005729547 0.0058003855 0.010185455 0.0057613146 0.007587788 0.007101045 0.0075885183 0.008241039 0.0077280053 0.005820834 0.0057970993 0.008927884 0.001230916 0.0011626332 0.0027773203 0.0021291815 0.0013893904 0.0018188052 0.0011038443 0.0032060049 0.0010939853 0.0022266763 0.0015694087 0.0023825946 0.0009701999 0.0019984583 0.0010954458 0.0013828177 0.0013871996 0.0017278832 0.0013525104 0.0014843291 0.0009994118 0.0018071205 0.0013740542 0.0014868851 0.0020214627 0.0011418198 0.0018144235 0.0014087433 0.0013254895 0.0009844407 0.0023873416 0.0010976368 0.0019345573 0.0017129121 0.0016139569 0.0017654935 0.0017085304 0.0021313725 0.003272462 0.0018447308 0.0020970486 0.0021759206 0.0015708694 0.0021558374 0.0027670963 0.0028346486 0.003543037 0.0031439296 0.0018414444 0.002315042 0.0020583428 0.0010972716 0.0023555737 0.0021043515 0.0033703216 0.0038742267 0.002719992 0.0022577138 0.0019184907 0.002717436 0.0025859824 0.0025417996 0.00300992 0.0036200832 0.0029332389 0.0019798358 0.0020999697 0.002725104 0.002570281 0.0023610508 0.0020302262 0.0013755148 0.0015664875 0.0019400346 0.0015347196 0.0027711128 0.0016446293 0.0011962268 0.0028193125 0.0009471955 0.0016862563 0.0017154681 0.0017921494 0.0025239072 0.001004889 0.0010056193 0.0022672077 0.0013360787 0.0019104575 0.0027882748 0.0018790547 0.0021240695 0.0017388377 0.0015967949 0.0013196471 0.0023690842 0.0007839741 0.0009329547 0.00086722797 0.0011158942 0.0017534436 0.0006254996 0.0007609697 0.0006963384 0.0018947561 0.0011527742 0.0015610103 0.0011531393 0.0018359672 0.000643757 0.0011027488 0.0012188661 0.0013568923 0.0006295162 0.00063426315 0.0007197079 0.00072116853 0.0012301856 0.0012221524 0.0015040471 0.00159716 0.000771559 0.00066785683 0.000781418 0.0014328432 0.002044102 0.00083947665 0.0055743586 0.0018705574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072776375 1.0960298e-06 3.6534325e-07 2.922746e-06 1.461373e-06 3.2880891e-06 6.5761783e-06 4.0187756e-06 3.6534325e-07 0.0 0.0 3.6534325e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006291211 2.0093878e-06 7.1241934e-06 2.2285938e-05 3.6351652e-05 3.470761e-06 2.8679446e-05 1.3152357e-05 1.6440446e-06 7.306865e-07 3.6534325e-07 1.461373e-06 0.0 5.480149e-07 1.2787013e-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 0.0020941475 5.6628203e-05 7.453002e-05 0.00028496774 0.00072283164 2.7948758e-05 1.4431058e-05 1.1690984e-05 5.0965384e-05 3.2880891e-06 3.6534325e-06 3.6534325e-06 3.836104e-06 6.0281636e-06 1.2787013e-06 7.1241934e-06 0.00023217563 0.0 0.0 2.922746e-06 1.6805789e-05 3.1054176e-05 5.9368278e-05 3.178486e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008881494 1.1508312e-05 1.4065715e-05 0.000108689615 0.00025902837 2.4477997e-05 7.215529e-05 5.608019e-05 8.950909e-06 7.85488e-06 2.2285938e-05 4.932134e-06 4.384119e-06 2.3747311e-06 4.5667907e-06 6.941522e-06 0.0009186556 4.731195e-05 7.416468e-05 0.00012531273 0.00041064582 0.000356575 0.000367718 0.00018595971 2.0641894e-05 4.932134e-06 1.004694e-05 5.845492e-06 3.160219e-05 3.5072953e-05 8.402894e-06 1.589243e-05 0.0014712373 0.0003300876 0.001155946 0.0011669063 0.0009975698 0.00089710037 0.0012704812 0.0007929775 4.256249e-05 1.1873655e-05 0.00036716997 0.00036607395 1.808449e-05 2.3381968e-05 1.8449835e-05 4.8773323e-05 0.060375165 0.059575062 0.09457604 0.094430454 0.004573732 0.0046904595 0.08873493 0.08900985 7.343399e-05 5.754156e-05 0.00059587485 0.0005836358 7.946216e-05 7.471269e-05 4.8773323e-05 8.914375e-05 0.0010379402 0.00040607902 0.00071369804 0.0006857493 0.0010242398 0.0010706384 0.0004415173 0.00035383494 0.00014303188 7.1424605e-05 0.00024551066 0.0002272435 9.352787e-05 7.215529e-05 5.6628203e-05 9.07878e-05 0.001792922 0.00079023745 0.0011248918 0.0010982217 0.0019575092 0.0020773418 0.00069871894 0.0007505977 0.0005355932 0.00017682613 0.00045412165 0.00044571876 0.0003476241 0.00026523918 0.00033849053 0.0009880709 0.006883432 0.002753044 0.002518859 0.0026414318 0.0061461693 0.0059949174 0.00506658 0.005556688 0.0030078709 0.0012770573 0.003034541 0.0034344092 0.0029784609 0.002151689 0.002692397 0.006339071 0.0063940547 0.005991447 0.004179344 0.0042412695 0.009516461 0.009387678 0.0021882234 0.0021723309 0.0031998588 0.0027486598 0.009048091 0.009033842 0.0053283484 0.005317388 0.0016603024 0.0018972275 0.021220049 0.020972347 0.018410012 0.016718106 0.023082387 0.024910381 0.015461327 0.01726119 0.020441137 0.01943078 0.022492357 0.026271833 0.023592588 0.021101678 0.01326397 0.0122422865 92092.0 8.1824045 753534.0 0.013656981 0.016199667 0.010974953 0.0154392505 0.018506132 0.017197631 0.010019455 0.012579393 0.015159236 0.015141984 0.015241515 0.0134101445 0.016754387 0.02069316 0.014092264 0.013303978 0.015412709 0.016167818 0.011203211 0.014289998 0.018523384 0.017628932 0.0103100855 0.013005385 0.015354317 0.017399348 0.015360952 0.0132761095 0.016441196 0.018755624 0.013660963 0.012996096 0.0053932536 0.0041617234 0.004547904 0.004502783 0.0026156749 0.0017636894 0.0025586104 0.0030018552 0.0037821783 0.007528526 0.0014266111 0.0030230884 0.0008161543 0.0030761717 0.0019760223 0.00089445204 0.006229314 0.0037383847 0.0048889634 0.006255856 0.0043992708 0.0017610353 0.002286559 0.003162432 0.0038286261 0.0056613237 0.0015553379 0.0029381553 0.0012726699 0.0028134098 0.0018260622 0.0015633004 0.011881349 0.01249844 0.017887713 0.010803759 0.009274963 0.007614786 0.016531438 0.010770583 0.015294598 0.0149415955 0.011894619 0.014702721 0.013132785 0.010779872 0.011829592 0.016455794 0.013749877 0.012822248 0.018656092 0.011301414 0.010010165 0.006013 0.019757569 0.011262929 0.0151326945 0.014094918 0.0119556645 0.014808888 0.012288762 0.010627258 0.010921869 0.016896384 6.330698 3.0 10.0 0.0 16.0 2738611.0 49152.0 1.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 1504708200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.660553 0.0 3.3088052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36828.0 0.0 2780.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 38932.0 2780.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 436.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.010234704 0.0038842806 0.0035733383 0.003924873 0.003661522 0.0037661025 0.0037265099 0.004891894 0.0035765376 0.0036577226 0.0035223477 0.003806295 0.0037561043 0.0039344714 0.0038180929 0.0041938233 0.003521348 0.0036347269 0.0035007517 0.00383429 0.003531146 0.003785099 0.0037119125 0.003973864 0.003633327 0.0037713016 0.003812494 0.004028854 0.0036811184 0.0040096575 0.0038972783 0.004137234 0.0034523606 0.0035513423 0.0035517423 0.0037956971 0.003897678 0.0036801184 0.003666121 0.0039284723 0.0035061506 0.0036813181 0.003629128 0.003817293 0.0036813181 0.0038636844 0.0038194926 0.0039660656 0.0036047325 0.0036925161 0.0036243289 0.0040026587 0.0037767005 0.0038320904 0.0038562857 0.003986662 0.0036605222 0.0038264913 0.0038758821 0.0040964414 0.0038720828 0.0040752455 0.003974464 0.0041650287 0.0035445436 0.003924873 0.003526147 0.0038082947 0.0037103128 0.0037155119 0.0037513052 0.003978863 0.003536945 0.0036039324 0.003471557 0.0037846991 0.0037017143 0.0038350897 0.003812494 0.0039766636 0.003677319 0.0037267099 0.0036239289 0.0038406886 0.0036075318 0.003827691 0.0037842991 0.004060448 0.0036669208 0.0037163117 0.003763903 0.004071246 0.0037785002 0.004070246 0.003990061 0.004173627 0.0036779188 0.0037862987 0.0036799186 0.0039338716 0.0037075134 0.0038750824 0.0059247026 0.00399446 0.0038758821 0.0037952971 0.0038902794 0.003990461 0.0039338716 0.003986662 0.0039288723 0.0041598296 0.0038804812 0.003768502 0.0038314904 0.003990261 0.004147232 0.004168628 0.0039436696 0.0043122014 0.003919874 0.0038320904 0.0039270725 0.0040968414 0.0040144566 0.004150431 0.0041120383 0.0042624106 0.003683518 0.0037998962 0.0036005331 0.004168628 0.0035665394 0.0038440882 0.0037878985 0.0038870801 0.0037727014 0.003849687 0.0036891168 0.004400585 0.0036965155 0.0040018586 0.003877282 0.0039758636 0.0038724828 0.0037225105 0.003488354 0.003709113 0.0036011331 0.003677319 0.0037485058 0.0038642844 0.0036797186 0.0037721014 0.0038184929 0.0038896797 0.003774501 0.0039542676 0.003967665 0.00399546 0.0036903166 0.003844688 0.003683118 0.0038424884 0.003665721 0.0037155119 0.0038004962 0.0038574855 0.0037806998 0.003736108 0.0037227105 0.0038258915 0.0037799 0.0038954786 0.0039568674 0.003952268 0.0037795 0.0038130938 0.0037864987 0.0038208924 0.0038414886 0.0039296723 0.004067247 0.0040052584 0.003903677 0.0037759007 0.0040004593 0.0039928607 0.0039118757 0.004038252 0.00410544 0.004180426 0.0040964414 0.0039270725 0.0037187112 0.003990861 0.003932072 0.0037832994 0.0038470875 0.0039264727 0.0037818996 0.0037523052 0.003654723 0.0037491056 0.0039674654 0.003877482 0.0038676837 0.003932472 0.0039492687 0.0038722828 0.00383369 0.0039238734 0.003893479 0.003882481 0.0039598667 0.0040252544 0.0039912607 0.0039072763 0.0040022586 0.0039820625 0.004002059 0.0040632477 0.004088243 0.0041052396 0.0040128566 0.0038940788 0.0037663025 0.0038532864 0.003828291 0.003838289 0.0038328902 0.003932472 0.004240215 0.0039072763 0.0039886613 0.0040458506 0.0040854434 0.004024055 0.004107239 0.0040964414 0.0041328347 0.0039300723 0.003920674 0.0039706645 0.0040142564 0.0040086578 0.004099241 0.0041648285 0.0041910238 0.0039716642 0.004125036 0.004127036 0.0041674282 0.0041604294 0.004297604 0.004774116 0.0018392061 1.0001664e-07 4.0006657e-07 2.0003328e-07 8.0013314e-07 2.0003328e-07 1.2001997e-06 8.0013314e-07 0.0 0.0 0.0 1.0001664e-07 1.0001664e-07 2.0003328e-07 1.0001664e-07 1.0001664e-07 3.400566e-06 0.0 0.0 0.0 0.0 0.0 0.00019403228 0.0 0.0 0.0 0.0 7.4012314e-06 0.0 0.0 0.0 0.0 0.00038146347 9.801631e-06 1.610268e-05 5.8009655e-06 6.9011485e-06 2.0003328e-07 0.0003684613 6.0009984e-06 1.13018805e-05 6.0009984e-07 0.0 6.101015e-06 4.0006657e-06 2.0003328e-07 3.0004992e-07 2.1003495e-06 0.00018503079 1.6002663e-06 2.7004494e-06 4.0006657e-07 3.600599e-06 6.0009984e-07 2.0003328e-07 1.0001664e-06 1.5002496e-06 8.0013314e-07 1.400233e-06 4.0006657e-07 1.5002496e-06 1.1001831e-06 1.3002164e-06 1.700283e-06 0.00015962656 1.46024295e-05 2.8104676e-05 9.7016145e-06 2.0003328e-07 2.0003328e-07 0.00017102846 1.0001664e-06 4.700782e-06 0.0 0.0 4.6007654e-06 0.0 0.0 0.0 1.5902646e-05 0.00043417225 4.6907804e-05 0.00013272208 3.190531e-05 9.1015145e-06 0.0 0.00030065002 1.5402564e-05 5.2008654e-06 0.0 0.0 3.600599e-06 1.4702447e-05 0.0 0.0 2.980496e-05 0.00078883127 5.5609253e-05 0.0001706284 9.221534e-05 1.6902814e-05 7.4012314e-06 0.0006773127 9.761624e-05 6.171027e-05 1.3002164e-06 3.0004992e-06 8.0013315e-06 2.6404394e-05 2.4003994e-06 3.0004992e-06 3.6005993e-05 0.00070991815 1.24020635e-05 9.241538e-05 2.0503412e-05 2.4003994e-05 1.8303046e-05 0.0005583929 0.00021953654 0.00013932318 3.1005159e-06 5.000832e-06 2.0003329e-06 5.000832e-06 2.9004827e-06 3.3005492e-06 2.740456e-05 0.0006689113 3.3605593e-05 8.181361e-05 1.7202863e-05 2.4204028e-05 2.770461e-05 0.00022193693 7.39123e-05 1.8703113e-05 5.300882e-06 3.3005492e-06 3.1005159e-06 5.700949e-06 1.9003162e-06 4.700782e-06 3.7006157e-05 0.00019643268 4.4007325e-06 2.0103345e-05 1.41023465e-05 5.570927e-05 3.0505076e-05 0.00018493077 9.1715265e-05 5.600932e-06 1.9003162e-06 1.1001831e-06 2.1003495e-06 9.0014976e-07 1.2001997e-06 2.1003495e-06 1.700283e-06 0.00042207024 1.5402564e-05 2.4604095e-05 3.220536e-05 2.2303711e-05 2.9204859e-05 7.0711765e-05 4.4807457e-05 1.7802962e-05 8.701448e-06 5.180862e-05 1.24020635e-05 1.280213e-05 9.301548e-06 1.2502081e-05 3.270544e-05 0.0006460075 6.231037e-05 7.371227e-05 2.1303546e-05 5.160859e-05 4.530754e-05 9.2315364e-05 6.341055e-05 5.630937e-05 5.8809786e-05 3.5305875e-05 2.4704112e-05 2.6704443e-05 2.530421e-05 1.8403061e-05 0.00013232202 0.000111218505 1.13018805e-05 2.0003328e-05 1.340223e-05 2.4704112e-05 4.650774e-05 1.430238e-05 1.30021635e-05 6.31105e-05 2.4003994e-06 2.500416e-06 6.9011485e-06 5.690947e-05 2.3003827e-06 9.501581e-06 1.1601931e-05 0.0015521583 0.00026114346 0.00040826792 0.00021773623 0.00045397555 0.00040766783 0.00018483076 0.00023993992 0.00085124164 7.241205e-05 7.981328e-05 0.00011361891 0.00050438393 0.00010611766 0.00018963155 0.00029724947 0.0015604596 0.000366661 0.00032375386 0.00023643934 0.0005490914 0.00059809955 0.00022723782 0.0003563593 0.0009879644 0.00035235862 0.00017272875 9.431569e-05 0.00052018656 0.00014722449 0.0002752458 0.00060590083 0.05818608 0.059571914 0.058095768 0.061215788 0.058446024 0.060174912 0.06087483 0.063140705 0.059382383 0.06003519 0.06039585 0.062667325 0.06062939 0.06318881 0.062942475 0.06483379 24450.0 6.1169734 149560.0 0.008872693 0.008478203 0.010457342 0.008952929 0.009120085 0.008879379 0.008845948 0.009374164 0.008658732 0.011079165 0.008825889 0.009889008 0.011092538 0.0094343405 0.009233752 0.009427655 0.009186949 0.009106713 0.009240438 0.009374164 0.01018989 0.009153517 0.010196577 0.00984889 0.008959615 0.009334046 0.010209949 0.0104774 0.010049478 0.009761969 0.009815459 0.010022733 0.008023536 0.008919497 0.0089729875 0.009220379 0.00916689 0.009461086 0.009200321 0.009394223 0.008545065 0.008886065 0.008792458 0.009447713 0.009160203 0.009387537 0.00950789 0.009474458 0.009447713 0.00940091 0.009454399 0.010323616 0.009441027 0.009494517 0.009287243 0.009989302 0.009193635 0.009654988 0.009788713 0.009895694 0.009942498 0.009995989 0.00961487 0.010571009 0.009300615 0.00974191 0.008839262 0.009795399 0.009608184 0.011306499 0.07586922 0.009982616 0.009782027 0.010490773 0.009641616 0.010684675 0.01094544 0.010270126 0.010417224 0.011092538 0.009654988 0.0089796735 0.010330303 0.010544263 0.0120687345 0.0104640275 0.010069537 0.015177855 0.010102969 0.009213693 0.009441027 0.009761969 0.009949184 0.009748596 0.009735223 0.010383792 6.4537487 0.0 0.0 0.0 56.0 5000926.0 155648.0 0.0 0.0 140.0 0.0 1.0 0.0 0.0 0.0 890922700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 69120.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69120.0 -4096.0 41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2374573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7037259 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.563729 -5.445874 4.1783204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1371.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68630.0 -3754.0 41640.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 106496.0 41640.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 588.0 107244.0 0.0 0.0 0.0 0.0


Input: 0.5392662 0.007072753 0.0057952954 0.0035753231 0.006332762 0.0023368127 0.0021498676 0.0011528275 0.0045567844 0.0010905125 0.0011684063 0.00087241 0.00336501 0.0015111389 0.00093472505 0.003403957 0.018686712 0.0007399907 0.0006075713 0.00045178377 0.0032871163 0.0039336346 0.00052967755 0.0010671444 0.0024224957 0.00042062625 0.00042841563 0.0006387288 0.0021654463 0.00065430754 0.0003816794 0.0005686244 0.004712572 0.00033494315 0.00024926002 0.00024147064 0.016941892 0.0007633588 0.00029599626 0.0006075713 0.0012930363 0.00042841563 0.00037389 0.0013086151 0.001347562 0.0006075713 0.00077893754 0.00045178377 0.0024536531 0.0014488238 0.0019707119 0.0041205795 0.0021031313 0.0023991277 0.00093472505 0.0013241938 0.002095342 0.0030066988 0.0014176663 0.0029521731 0.002134289 0.0017292413 0.0011761957 0.0017136625 0.0026717556 0.0015812432 0.00090356753 0.0013631406 0.008062003 0.0012774576 0.0018149244 0.0007399907 0.0011761957 0.0009892506 0.0005919925 0.00065430754 0.0037466895 0.0006075713 0.0010827231 0.00040504753 0.005935504 0.0037544789 0.0036064808 0.0027107026 0.0034818507 0.0012618788 0.0030612245 0.0016747157 0.0009503038 0.00039725815 0.00024926002 0.0015968219 0.0016046113 0.0011684063 0.0024458638 0.0021187102 0.0007867269 0.002095342 0.0005919925 0.001183985 0.0018227138 0.0032014332 0.0009503038 0.0006932544 0.005436984 0.0025704938 0.004478891 0.00042841563 0.0020486056 0.0010437763 0.0022900763 0.0019940801 0.00137093 0.00029599626 0.0024147064 0.0016435581 0.006636548 0.0039881603 0.00054525625 0.00049852004 0.0010281976 0.00052188814 0.00032715377 0.00028820688 0.0016902945 0.00035052188 0.00075556943 0.0003427325 0.0024770214 0.0025315469 0.0003427325 0.0062548686 0.0028742794 0.004938464 0.0007166225 0.00036610063 0.0036064808 0.005125409 0.0020096588 0.016778314 0.001098302 0.005912136 0.0007166225 0.0002181025 0.011637326 0.00021031313 0.00020252376 0.00024147064 0.00096588256 0.0002181025 0.0003427325 0.000186945 0.00048294128 0.00037389 0.00024147064 0.00013241939 0.000436205 0.00014799813 0.00017915563 0.00017136625 0.0004907306 0.0018071351 0.00015578751 0.0006075713 0.00045957314 0.0003816794 0.00027262812 0.00023368126 0.0005063094 0.00020252376 0.0002570494 0.00055304565 0.00055304565 0.00014020875 0.000436205 0.0005063094 0.00070104375 0.00024147064 0.00023368126 0.0002181025 0.0004907306 0.00024147064 0.00057641376 0.0005063094 0.0019239757 0.00096588256 0.00055304565 0.00057641376 0.0006153606 0.00036610063 0.0010126188 0.0005374669 0.005818663 0.0024147064 0.0015345069 0.0030222777 0.0044711013 0.0006932544 0.0017603989 0.0022277613 0.00096588256 0.001409877 0.0005919925 0.00017915563 0.0012385107 0.00045957314 0.0010126188 0.0005686244 0.0031079608 0.0019629225 0.00096588256 0.00080230564 0.00035831126 0.00087241 0.0008412525 0.0012852469 0.0009814613 0.0007244119 0.00077114813 0.0008957782 0.0014410344 0.00062315003 0.00054525625 0.00052188814 0.0018694501 0.0009503038 0.00064651814 0.0005919925 0.0008256738 0.00092693564 0.000436205 0.00052967755 0.0045801527 0.0015422963 0.0008801994 0.0009970401 0.0012774576 0.0005997819 0.018935971 0.0006698863 0.0008412525 0.0006075713 0.00055304565 0.0010048294 0.00067767565 0.0002570494 0.0010437763 0.00096588256 0.0018616607 0.00038946877 0.00045957314 0.00039725815 0.00075556943 0.0008178844 0.0010671444 0.0142234 0.42741936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007572297 3.937752e-06 3.937752e-06 0.00025595387 7.875504e-06 2.7564263e-05 2.3626511e-05 4.331527e-05 3.937752e-05 3.5439767e-05 1.5751008e-05 7.875504e-06 1.1813256e-05 3.937752e-06 7.875504e-06 3.937752e-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 0.001445155 0.0 0.0 0.0 0.0 0.0 0.00015751008 0.0 0.0 0.0 0.0 0.0 0.00013782132 0.000106319305 0.0061428933 7.481729e-05 0.00086630543 0.0 0.0 0.0 0.0 0.0 9.84438e-05 0.0 4.7253023e-05 0.0 0.0 0.0 0.00042921497 0.00013782132 0.006194084 0.00029139366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02473302 0.0003189579 0.0016538559 0.00043709046 0.0010592553 0.0009962512 0.0051308908 0.0026697959 0.0007166709 0.00022838962 0.00022838962 0.00022445187 0.00023626511 0.00023626511 0.00020870086 0.0012443296 0.010880009 0.00035045992 0.000984438 0.0036896737 0.0013703377 0.00095687376 0.0055758567 0.00253985 0.00028351814 0.00022838962 0.00022838962 0.00022445187 0.00039771295 0.0003858997 0.0038550592 0.00030714466 0.0051466417 4.7253023e-05 0.00078361266 0.00042527722 0.0008623677 0.0005512853 0.0026579825 0.0013782132 8.269279e-05 1.5751008e-05 1.1813256e-05 2.7564263e-05 0.000492219 0.0001968876 0.00304782 0.0004016507 0.014987084 0.0019413118 0.002445344 0.012585055 0.0027446132 0.0018507434 0.0055049774 0.0031738281 0.0016223538 0.00094506046 0.0009253717 0.00096474926 0.0013388357 0.0026461694 0.0016814201 0.0010946951 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02140562 0.006635112 0.0048513105 0.0027761152 0.004209457 0.0062216483 0.0019885649 0.0019925025 0.0114312945 0.0021421371 0.00085055444 0.0010435043 0.005182082 0.002445344 0.002622543 0.004847373 0.071659215 0.02718624 0.019499747 0.012380293 0.016806325 0.025071668 0.00968687 0.010289346 0.04125189 0.012242471 0.004559917 0.005634923 0.019342238 0.009360037 0.012171592 0.017373363 0.0010710686 0.0004095262 0.00042527722 0.00037408643 0.0004410282 0.00025201612 0.00045677923 0.0003937752 0.0005985383 0.0002047631 0.00042133947 0.001126197 0.000570974 0.0007363596 0.00033470892 0.00024807837 499.0 10.995992 5487.0 0.03517405 0.0014579917 0.0018224895 0.0020047384 0.017495899 0.003827228 0.0009112448 0.0014579917 0.003827228 0.0016402405 0.003280481 0.0016402405 0.0045562238 0.0030982322 0.0091124475 0.004191726 0.01731365 0.0125751775 0.018407144 0.020047385 0.008930199 0.009841443 0.0067432113 0.013486423 0.01567341 0.01385092 0.011299435 0.0091124475 0.010205941 0.0061964644 0.010934937 0.008018954 0.004738473 0.014944414 0.0051029706 0.011299435 0.018407144 0.006560962 0.0052852198 0.00692546 0.004738473 0.010934937 0.0018224895 0.004009477 0.008930199 0.0052852198 0.003827228 0.0045562238 0.018589392 0.007472207 0.011663933 0.01385092 0.013486423 0.0052852198 0.0058319666 0.00692546 0.00346273 0.0018224895 0.0020047384 0.0021869873 0.0054674684 0.0021869873 0.0023692364 0.009841443 0.0029159833 0.030253327 0.0060142153 0.019865137 0.025697103 0.052669946 0.009476946 0.009476946 0.011481684 0.035903044 0.0049207215 0.0051029706 0.028066339 0.016220156 0.032987062 0.03152907 0.0140331695 0.0009112448 0.03262256 0.019318389 0.042464007 0.016220156 0.0052852198 0.0063787135 0.008383452 0.0051029706 0.0016402405 0.0009112448 0.003280481 0.0005467468 0.0012757427 0.0010934937 6.027294 3.0 1.0 0.0 1.0 128380.0 262144.0 0.0 7.0 110.0 1.0 1.0 0.0 0.0 0.0 1074936300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 49152.0 1024.0 4096.0 6.0 0.0 0.0 2.0 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 4096.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7884984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.27932 0.0 0.0 -0.59088653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7166176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.435766 0.0 3.4468043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4926.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3890.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49132.0 0.0 7352.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 306.0 56832.0 160.0 54416.0 7352.0 184320.0 0.0 0.0 0.0 0.0 3720.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 468.0 53248.0 0.0 0.0 0.0 0.0