Input: 0.23825854 0.009856468 0.005382449 0.0051780525 0.0136264535 0.0067223837 0.0041560684 0.0017487282 0.009402253 0.0015443314 0.00240734 0.0018395712 0.003815407 0.0050644986 0.0011355378 0.012831577 0.010764898 0.0023619186 0.0008857195 0.00059047964 0.0033839026 0.0038835392 0.0007721657 0.00240734 0.0040652254 0.00065861194 0.0017487282 0.00084029796 0.0010446948 0.00047692587 0.0010674056 0.0018395712 0.010651344 0.0026571585 0.00084029796 0.0003633721 0.015625 0.001953125 0.0013172239 0.0015670422 0.003065952 0.0007267442 0.00090843026 0.0025663155 0.0009765625 0.0008857195 0.0013626453 0.00090843026 0.006381722 0.0006359012 0.0018168605 0.003338481 0.002316497 0.00054505817 0.00093114097 0.00065861194 0.0027707121 0.0017941497 0.0008630087 0.0037699854 0.0017941497 0.0011355378 0.001112827 0.0003633721 0.0063590114 0.010696766 0.0018849927 0.0030886629 0.00660883 0.0026798693 0.0024527616 0.0022029432 0.060615007 0.0069494913 0.00120367 0.0022029432 0.008925327 0.0022029432 0.0018168605 0.0018849927 0.002975109 0.0009992733 0.0014080668 0.0017941497 0.0024981832 0.0010674056 0.0018395712 0.0026344478 0.0016805959 0.00054505817 0.00059047964 0.0015216207 0.0043604653 0.0010446948 0.0017487282 0.010651344 0.0021121004 0.0045875725 0.0022483647 0.009970021 0.0036110103 0.0072220205 0.006336301 0.0036110103 0.0016578852 0.0085392445 0.0004087936 0.0007948764 0.0045875725 0.0027252906 0.008925327 0.0058366642 0.0052461848 0.0017941497 0.00690407 0.005473292 0.01746457 0.0063590114 0.001112827 0.0005223474 0.0021121004 0.001953125 0.00065861194 0.00065861194 0.0028615552 0.0013172239 0.0018849927 0.0008630087 0.0016124636 0.0008857195 0.0016124636 0.0117641715 0.004542151 0.0048601017 0.00027252908 0.00034066133 0.00095385173 0.011400799 0.00013626454 0.034043424 0.0006359012 0.015715843 0.00024981832 0.0001589753 0.0011582485 0.00013626454 0.00018168605 0.0001589753 0.00065861194 0.00047692587 0.00027252908 0.00022710756 0.00054505817 0.00034066133 0.00047692587 0.00054505817 0.00090843026 0.0007040334 0.00074945495 0.0005223474 0.0012490916 0.00065861194 0.00074945495 0.00045421513 0.00047692587 0.00018168605 0.0002043968 0.0001589753 0.00074945495 0.0006131904 0.00054505817 0.00049963663 0.00045421513 0.0005677689 0.00045421513 0.0006359012 0.0008857195 0.0004087936 0.0010446948 0.0007721657 0.0013172239 0.0006131904 0.0014989099 0.0016124636 0.0025436047 0.0031340844 0.00054505817 0.00013626454 0.00054505817 0.0003179506 0.00034066133 0.00054505817 0.008879906 0.0045648618 0.002225654 0.00510992 0.002975109 0.0025890262 0.0021802327 0.0034747457 0.0042696223 0.001953125 0.00068132265 0.0010446948 0.035201672 0.00084029796 0.0017487282 0.001771439 0.002316497 0.0008175872 0.0014761991 0.0015216207 0.0003633721 0.00043150436 0.00038608286 0.0007267442 0.0024754724 0.0008175872 0.0005223474 0.00065861194 0.00022710756 0.00084029796 0.00022710756 0.0005677689 0.0035882995 0.0007948764 0.0003633721 0.00043150436 0.0005223474 0.0001589753 0.00038608286 0.00022710756 0.01560229 0.0013853561 0.00049963663 0.0029978198 0.0022710755 0.0009765625 0.0005677689 0.0002043968 0.002316497 0.00047692587 0.00049963663 0.0016351744 0.00059047964 0.00027252908 0.0011582485 0.00054505817 0.0046102833 0.00045421513 0.0006131904 0.0003179506 0.001112827 0.00065861194 0.0008175872 0.011037427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018368676 0.0002092634 0.000953311 0.0006510417 0.00048828125 0.0033482143 0.014218285 0.007440476 0.00032552084 0.00017438616 0.0007324219 0.00017438616 0.0001046317 0.00019763765 9.3005954e-05 0.00013950893 0.03652809 0.00096493674 0.001906622 0.0008370536 0.0008719308 0.0028948102 0.014997209 0.00920759 0.00027901787 0.00025576638 9.3005954e-05 0.0014183407 0.00016276042 0.00016276042 0.0002673921 0.0005812872 0.062395368 0.0058012465 0.00273205 0.0037899925 0.0024762836 0.006626674 0.014706566 0.008928572 0.0011509487 0.0028831845 0.0017787388 0.0013137091 0.0009300595 0.00070917036 0.001406715 0.0014183407 0.0137300035 0.0012904576 0.0009881882 0.0011393229 0.0006045387 0.000906808 0.0007672991 0.00080217636 0.00027901787 0.00024414062 0.0017206101 0.00025576638 0.0002906436 0.00019763765 0.00025576638 0.00033714657 0.029424759 0.001453218 0.0030343193 0.0015927269 0.004940941 0.003045945 0.009405227 0.0059175035 0.0032900856 0.000499907 0.0015694754 0.001453218 0.0023832775 0.0008370536 0.0011044457 0.0014764694 0.014067151 0.0022437687 0.0028715588 0.0011393229 0.008451916 0.0007556734 0.001453218 0.0013602121 0.0049293153 0.00024414062 0.00025576638 0.0010811941 0.004673549 0.00056966144 0.0014415922 0.0020810082 0.13996233 0.02554176 0.03384254 0.021286737 0.106526695 0.020438058 0.017147973 0.023297992 0.08077567 0.0038481213 0.0025925408 0.010718936 0.07273065 0.011695499 0.027053107 0.021589007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 361.0 13.542936 4889.0 0.02781755 0.0004090816 0.0018408672 0.0 0.009613418 0.0016363264 0.0016363264 0.0028635713 0.003068112 0.0012272449 0.0 0.0012272449 0.0006136224 0.0018408672 0.0057271426 0.0010227041 0.005318061 0.0012272449 0.0008181632 0.0032726529 0.0026590305 0.0010227041 0.0002045408 0.0 0.0018408672 0.0018408672 0.002249949 0.0047044386 0.0028635713 0.0018408672 0.0024544897 0.0004090816 0.0026590305 0.021476785 0.0 0.004499898 0.0034771936 0.003068112 0.0018408672 0.0014317856 0.018204132 0.0036817344 0.0 0.0004090816 0.0026590305 0.0008181632 0.0018408672 0.0028635713 0.0032726529 0.0004090816 0.0006136224 0.0026590305 0.0036817344 0.0026590305 0.006340765 0.0057271426 0.0004090816 0.0 0.0002045408 0.0016363264 0.0067498465 0.0020454081 0.0057271426 0.08058908 0.0012272449 0.036612805 0.013908775 0.03538556 0.014113315 0.060544077 0.023113111 0.03068112 0.004499898 0.0711802 0.0 0.0026590305 0.02290857 0.019635918 0.07547556 0.046839844 0.025976682 0.0057271426 0.052362446 0.04356719 0.07527102 0.019635918 0.0034771936 0.0010227041 0.0049089794 0.013704234 0.0008181632 0.0002045408 0.0032726529 0.0006136224 0.005318061 0.0004090816 5.1382694 1.0 0.0 0.0 2.0 44032.0 65536.0 1.0 109.0 53.0 1.0 1.0 0.0 0.0 0.0 1534428500.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 29696.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9728.0 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 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 -29696.0 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 -2.7841837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.186033 0.0 0.0 0.0 0.0 4.459595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.37650993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.163635 0.0 4.867062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9598.0 0.0 0.0 0.0 0.0 1608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29547.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 3.0 0.0 1.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 2.0 -2.0 1.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 -2.0 2.0 1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 1.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 3022.0 41968.0 80.0 44992.0 480.0 57344.0 1608.0 53248.0 0.0 0.0 20.0 61440.0 56.0 37360.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 39312.0 0.0 0.0 448.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.42595157 0.011414994 0.004014126 0.0039147665 0.004706804 0.0033697083 0.0022512036 0.008860034 0.009197856 0.0013399346 0.0022029432 0.0028558776 0.002299464 0.002461278 0.0012547693 0.003704692 0.005918991 0.001405228 0.0012207031 0.001095794 0.002299464 0.0046982877 0.00065293425 0.0015613645 0.003523006 0.0010361782 0.0006671285 0.000510992 0.0014222611 0.000766488 0.0004400209 0.00044285975 0.0077812728 0.001368323 0.00043150436 0.00052518625 0.022003883 0.0015045876 0.0008119095 0.00041163244 0.0037898573 0.0006671285 0.00089423603 0.0015272984 0.00092262443 0.00073809957 0.00074377726 0.00021291334 0.0052319905 0.0004797647 0.0011525708 0.0050133993 0.001186637 0.00051383086 0.0007522938 0.00045705397 0.0025975427 0.0012348973 0.0004967978 0.004542151 0.0006784838 0.0011355378 0.00046840933 0.00036904978 0.0044087255 0.009177984 0.00084597565 0.0012008313 0.012573242 0.004965139 0.00127748 0.0008232649 0.031993777 0.006478243 0.0008374591 0.00049963663 0.010313522 0.0017686001 0.0010134674 0.00049963663 0.0037132085 0.00034066133 0.001075922 0.0014903933 0.0028785884 0.0013626453 0.00127748 0.0019673193 0.0019020258 0.00021291334 0.00023278524 0.0010872774 0.0034066134 0.0010361782 0.0008374591 0.001462005 0.003997093 0.0015840753 0.0004144713 0.0015954305 0.002157522 0.0044456306 0.002739485 0.0006841615 0.002265398 0.0021603606 0.00026969024 0.00045421513 0.0028558776 0.00097372365 0.002046807 0.0019758358 0.0044796965 0.00041163244 0.0035372002 0.0019644804 0.008096385 0.0039942544 0.001095794 0.0014478107 0.0014648438 0.00055925234 0.00021291334 0.00034066133 0.0016039471 0.00044285975 0.000255496 0.0006671285 0.0026969023 0.0010645667 0.0005393805 0.006628702 0.002881427 0.0034350017 0.00020155795 0.00021291334 0.001660724 0.011625068 0.00089423603 0.028700717 0.0011752816 0.008757835 0.00052518625 0.0001589753 0.0012235419 0.00021291334 0.00042582667 0.00055357465 0.0009510129 0.00073809957 0.0005393805 0.0002299464 0.00093681866 0.0004400209 0.00034350017 0.0003974382 0.0009652071 0.000383244 0.00017033066 0.00032646712 0.0014194222 0.0008374591 0.0004400209 0.00048260356 0.00092262443 0.00061035156 0.00061035156 0.0005564135 0.0009652071 0.0004967978 0.00068132265 0.00046840933 0.0010361782 0.0005393805 0.0005393805 0.0005819631 0.0010077897 0.00018452489 0.0001987191 0.00029807867 0.0069324584 0.000510992 0.0004967978 0.00071254995 0.0018225382 0.00093681866 0.0006841615 0.00080907065 0.0014478107 0.000255496 0.00070119457 0.00068132265 0.0053739324 0.0014761991 0.001206509 0.003633721 0.0029836255 0.0011923147 0.0012916742 0.004286655 0.002061001 0.0021433276 0.00058480195 0.001078761 0.017578125 0.0007579715 0.0012916742 0.0012916742 0.0017430505 0.00079771527 0.0020297738 0.00078068225 0.0007097111 0.00048260356 0.00078068225 0.0007835211 0.002316497 0.00059615733 0.0004400209 0.0010929551 0.0005677689 0.00021291334 0.0003179506 0.0005564135 0.0018509266 0.00041163244 0.000255496 0.00026969024 0.00029807867 0.00028388444 0.000255496 0.00021291334 0.0059757675 0.002100745 0.00068132265 0.0032078943 0.0018168605 0.0005280251 0.000255496 0.00032646712 0.002191588 0.00032646712 0.0004400209 0.0003122729 0.0004031159 0.0003122729 0.0011781205 0.0006955169 0.0014790379 0.00063874 0.00042582667 0.00046840933 0.006972202 0.0004967978 0.0076393303 0.023724223 0.12239915 7.1178024e-06 0.0 1.4235605e-05 0.0 0.0 1.4235605e-05 1.4235605e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0274676 3.558901e-05 7.117802e-05 7.117802e-05 8.541363e-05 1.4235605e-05 4.2706815e-05 1.4235605e-05 1.4235605e-05 2.847121e-05 1.4235605e-05 0.00044130377 0.0 4.2706815e-05 0.00011388484 0.00069754466 0.013296055 5.694242e-05 4.982462e-05 0.00010676704 4.982462e-05 4.2706815e-05 2.1353408e-05 2.1353408e-05 4.2706815e-05 6.406022e-05 7.117802e-05 0.0002562409 0.00041995035 4.2706815e-05 2.1353408e-05 1.4235605e-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 0.023446042 8.541363e-05 0.00044130377 0.00062636664 0.0008399007 0.00039859695 0.002121105 0.00096802117 4.2706815e-05 2.847121e-05 4.2706815e-05 5.694242e-05 0.0 1.4235605e-05 1.4235605e-05 2.847121e-05 0.0023303686 3.4165452e-05 6.690734e-05 3.9859693e-05 7.402515e-05 5.551886e-05 0.0001081906 7.829583e-05 2.2776969e-05 4.2706815e-06 1.4235605e-06 1.1388484e-05 1.4235605e-05 3.558901e-05 1.1388484e-05 2.704765e-05 0.0757263 0.0034165452 0.0028400032 0.0014947385 0.0019004532 0.000540953 0.00081142946 0.0016726836 0.0010036102 0.0014876208 0.00041283254 0.0027830608 0.0013025579 0.0003274189 0.0002847121 0.0060358965 0.049732085 0.0028328854 0.0019431601 0.0012527333 0.0027118828 0.0013167935 0.0030179482 0.0019146889 0.000576542 0.00037724353 0.00018506286 0.0021495763 0.0002633587 0.00021353408 0.0002847121 0.00411409 0.03524736 0.0014306783 0.0008541363 0.0009253143 0.0014520317 0.0010249636 0.0007117803 0.00064772 0.001117495 0.0011602018 0.0072388053 0.0015730343 0.0016299768 0.00067619124 0.00062636664 0.0019929847 0.0207911 0.001551681 0.0008399007 0.0005907776 0.0019716313 0.001658448 0.0062209596 0.003494841 0.00035589014 0.00046977497 0.00020641627 0.0011602018 0.000612131 0.0009893746 0.00033453671 0.002484113 0.030734671 0.003452134 0.0012313798 0.0014022071 0.0022278721 0.0017865684 0.004356095 0.0036514327 0.0009324321 0.0007117803 0.00034877233 0.001188673 0.0015232097 0.0012313798 0.0005836598 0.0029467703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054664724 0.0017865684 0.0003274189 0.0005267174 0.0008470185 0.00048401058 0.00044842155 0.00048401058 0.0011103771 0.00017082726 9.253143e-05 0.00037724353 0.0013808537 0.00019929848 0.000505364 0.00037012572 0.06002443 0.00871219 0.025987096 0.012968636 0.05632317 0.0120433215 0.009224672 0.011815552 0.04735474 0.0033311315 0.0019502778 0.005167525 0.028051259 0.0068971505 0.011196303 0.019652253 0.022236016 0.0043062703 0.009744272 0.0063277264 0.02037827 0.0049326373 0.003501959 0.0058081266 0.018769646 0.0010249636 0.0006548378 0.0025552912 0.013160816 0.0035446656 0.004797399 0.009452442 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1668.0 9.833933 16403.0 0.011400353 0.0052429433 0.0003048223 0.0 0.040236544 0.0003048223 0.0 0.0003048223 0.0054868013 0.00091446686 0.0 0.0006096446 0.0003048223 0.009388527 0.0046942635 0.0003048223 0.011400353 0.002377614 0.00097543135 0.011644212 0.0012802536 0.0 0.0048771566 0.0 0.002133756 0.010059136 0.0006096446 0.007620557 0.00091446686 0.0021947206 0.0003048223 0.0003048223 0.0074376636 0.06169603 0.0037188318 0.00957142 0.020910809 0.021154666 0.008230202 0.0054868013 0.024690606 0.0074376636 0.0 0.00036578675 0.017191976 0.0028653296 0.008047309 0.00097543135 0.010607815 0.0012192891 0.01121746 0.0142656835 0.019752484 0.012192892 0.012802536 0.022069134 0.0027434006 0.0 0.0 0.003048223 0.017679693 0.010059136 0.01066878 0.016765226 0.0040236544 0.024263855 0.0015850759 0.021764312 0.018838018 0.067914404 0.020423094 0.007986344 0.008108273 0.033591416 0.00091446686 0.0018289337 0.03450588 0.013899896 0.02993355 0.029628726 0.01627751 6.096446e-05 0.039078217 0.019630555 0.052551363 0.017801622 0.0076815216 0.0024385783 0.008595988 0.0040236544 0.0003048223 0.0006096446 0.0039626895 0.0 0.0003048223 0.006401268 5.6282716 0.0 0.0 0.0 6.0 352256.0 73728.0 1.0 1.0 88.0 1.0 1.0 0.0 0.0 0.0 1247534800.0 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 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 1.0 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 51200.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 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 -5.5175476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.567583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9287443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.734787 0.0 3.2627962 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 4096.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 55136.0 140.0 52464.0 1016.0 65536.0 1392.0 61440.0 0.0 0.0 964.0 69632.0 28.0 4896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204.0 704.0 752.0 4096.0 192.0 51808.0 0.0 0.0


Input: 0.09852729 0.011047283 0.0066905734 0.006101221 0.0082860775 0.0031888993 0.0036162413 0.0036791477 0.008805144 0.0013094378 0.0020544748 0.0013424725 0.006084704 0.0014971028 0.0014419279 0.007734328 0.023215637 0.0008476554 0.00094851654 0.001235637 0.003570555 0.004070644 0.000977334 0.0012563715 0.0038067177 0.0007963462 0.00093059347 0.0019680224 0.0025253945 0.0006782649 0.0010627321 0.00097346824 0.008398887 0.001096821 0.00090599316 0.0009632767 0.015244442 0.0006793192 0.0008272723 0.0007777203 0.0033484497 0.008329304 0.0005563178 0.0010999839 0.0023574098 0.0011126356 0.0014373593 0.0005383947 0.0044832253 0.0020611521 0.0022006708 0.010893707 0.00274996 0.0019219848 0.0017793032 0.0019486937 0.005002643 0.0027474998 0.006981208 0.004447379 0.002765423 0.0025868951 0.0021883706 0.0023275379 0.0034334962 0.0030420003 0.0021563903 0.0044143447 0.0065654633 0.01768268 0.0024059075 0.0018155007 0.0019325278 0.0031664076 0.0006121956 0.0011906535 0.004617121 0.010484288 0.0025246916 0.0021669334 0.009909345 0.0034679368 0.0031189641 0.0059732995 0.0035459548 0.005606404 0.004304346 0.0046368013 0.0018341267 0.0023468668 0.00074187416 0.0021124613 0.0048244665 0.0046838936 0.0028828015 0.0038994958 0.0012085766 0.007137244 0.0014215448 0.0047605056 0.004974528 0.013642964 0.004619581 0.002217891 0.005506246 0.0087422365 0.0069327103 0.0010989297 0.0072437283 0.0037378368 0.008408727 0.0080787325 0.0054264707 0.0006533132 0.008143396 0.007219831 0.018361298 0.0114261275 0.002280446 0.0021799363 0.004427348 0.0034387677 0.00065085315 0.0011931136 0.0018204207 0.0042758803 0.0006213328 0.0010602721 0.002559132 0.0017286969 0.0007130567 0.010166593 0.0033055749 0.013156933 0.0006178185 0.00058197236 0.0037561115 0.018435098 0.0009471108 0.04677708 0.0013565298 0.019156238 0.00052047166 0.00043085634 0.0012458285 0.0003039892 0.00033913244 0.00041258184 0.0010296975 0.0008420325 0.00038692728 0.00032331797 0.0009516794 0.00044385935 0.00033034664 0.00030434062 0.0008567926 0.0005911096 0.00037040995 0.0003633813 0.0014204904 0.0022460057 0.00027025165 0.0003461611 0.00092602486 0.0046817847 0.00032718372 0.00032472372 0.0012482886 0.00032929232 0.00030820636 0.0025637008 0.00087366137 0.000312775 0.00031312642 0.0003675985 0.0013350924 0.00041469044 0.0003538926 0.00055280345 0.001136533 0.0010933068 0.0006237928 0.0013343896 0.0021560388 0.00080618635 0.0012785117 0.00093656784 0.0012127939 0.0009221591 0.0018281523 0.0011115812 0.011085589 0.0026132527 0.0028079464 0.0018193665 0.0019613453 0.0019135504 0.002303289 0.0067555886 0.0022403826 0.0019072247 0.00057353795 0.001605344 0.010122664 0.002415396 0.0026009525 0.0020239002 0.0021539303 0.00079318334 0.001256723 0.0007337912 0.0015087001 0.00054753193 0.0039392076 0.000964331 0.0022554942 0.0008371124 0.00054261193 0.0018647013 0.0018446696 0.0003215608 0.00041117612 0.00043964217 0.0025693236 0.000528906 0.0005904067 0.00058232376 0.0029397334 0.0034148705 0.00056440075 0.00067580485 0.018785477 0.0027854547 0.00067685917 0.00461923 0.007206828 0.000541909 0.0005113344 0.0006603418 0.0074275276 0.0011221243 0.000862767 0.0009650339 0.0040910267 0.00062273856 0.0051867934 0.0017831689 0.0066262614 0.0017413484 0.0019996513 0.0013856987 0.005511517 0.0014450907 0.003322795 0.045789205 0.00070279447 3.5166096e-07 2.1099659e-06 1.7583048e-07 8.088202e-06 6.3298976e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5166096e-07 0.000699102 1.0549829e-06 3.1649488e-06 1.4066438e-06 9.494846e-06 5.450745e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2749147e-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 0.00032089063 2.1099659e-06 2.1099659e-06 2.6374573e-06 8.791524e-06 4.5715924e-06 8.791524e-07 1.2308134e-06 1.5824744e-06 2.2857962e-06 1.9341353e-06 2.8132877e-06 1.4066438e-06 1.5824744e-06 2.1099659e-06 3.1649488e-06 0.0008969113 6.40023e-05 1.3538947e-05 2.2857962e-06 3.3407791e-06 1.9341353e-06 1.793471e-05 4.044101e-06 2.8132877e-06 1.6000575e-05 6.3298976e-06 4.0265182e-05 2.9891182e-06 2.4616268e-06 1.7583048e-06 3.69244e-06 0.0008680751 0.00010602578 1.2308134e-05 6.8573886e-06 0.00018128123 0.00014312602 6.505728e-06 5.2749147e-06 1.7583048e-05 6.6815583e-06 1.476976e-05 3.1297826e-05 2.6902064e-05 2.9891182e-06 4.395762e-06 6.3298976e-06 0.00354527 0.0003627383 8.8618566e-05 0.00016352235 0.00058569136 0.00059676863 0.00069892616 0.0003812005 2.9363691e-05 3.7451893e-05 9.530012e-05 0.00011393815 4.0265182e-05 4.1495994e-05 3.7276062e-05 2.4088777e-05 0.009389699 0.00075290614 0.00042304813 0.00025178926 0.0006788815 0.0008249966 0.0037480025 0.002154275 8.8091074e-05 0.00011006988 7.332131e-05 9.68826e-05 0.00010180585 9.916839e-05 0.00015525831 0.00013714777 0.0109547665 0.00085330533 0.0027257241 0.002169045 0.005309729 0.0036994733 0.019754378 0.010162299 0.0001378511 0.00010602578 0.00015824744 8.580527e-05 0.00014717011 0.0001535 0.00012993872 0.00034867183 0.012811712 0.00066657335 0.0060716025 0.005687237 0.0077395304 0.0056531257 0.033631798 0.017563706 0.0002116999 0.0001608849 0.00017459967 0.00013890608 0.00012993872 0.00013925774 0.00012905957 0.00019587515 0.0044726 0.00022330471 0.0023112916 0.0020023575 0.0028832683 0.0020139623 0.008340343 0.004450621 9.9695884e-05 0.00010110253 0.00023543702 8.9673544e-05 7.138718e-05 8.721192e-05 0.00019886428 0.00014664262 0.005777086 0.002882565 0.0019712355 0.019176776 0.0016436634 0.0016355752 0.0021716822 0.0018623965 0.0015318352 0.0013438724 0.0015393959 0.0013269926 0.0016290694 0.0013591696 0.0015395717 0.001582826 0.002990349 0.0010553346 0.0005461295 0.00040247597 0.00051149086 0.00064406707 0.0007998529 0.0007659176 0.0017906576 0.00022013976 0.00031754986 0.00033759454 0.0007476312 0.00026567985 0.0005698666 0.0020791953 0.023398641 0.0062602684 0.005213022 0.0040657283 0.0072818436 0.00713397 0.0031545747 0.0054197987 0.023398817 0.0016549166 0.0025310798 0.0029098187 0.0073483074 0.0028387832 0.00688306 0.020143667 0.09386869 0.0353632 0.028023863 0.022822268 0.04108596 0.04125159 0.017020214 0.030113256 0.096682325 0.005112799 0.011466785 0.011670397 0.04428185 0.015179446 0.037778057 0.06496637 0.0006039777 0.00026954812 0.00025811914 0.00031579155 0.00029469188 0.00028695536 0.00038155215 0.00030471422 0.00027130643 0.00021222739 0.00023912945 0.00024370106 0.00024229441 0.00023895362 0.00023543702 0.00028291123 16539.0 27.992683 462971.0 0.035421226 0.001445015 0.0014277352 0.00046439192 0.004270246 0.00054431055 0.0015141338 0.0008164658 0.007151636 0.008901206 0.0007322273 0.00055511034 0.005818939 0.00404129 0.004559681 0.00114694 0.009974707 0.0052206293 0.004708718 0.0047497577 0.0045402413 0.0036524965 0.0038123338 0.0034062609 0.004771357 0.003928972 0.036008734 0.0039052123 0.005417186 0.0076376274 0.006106214 0.0037324151 0.005946377 0.009264079 0.0037000158 0.017413618 0.008840727 0.008721929 0.0057692598 0.003226984 0.0025120364 0.015104618 0.0007019878 0.00172365 0.0073352326 0.005088872 0.007034998 0.0065533263 0.010406699 0.0027496323 0.012460824 0.014339991 0.010406699 0.004216247 0.0027863516 0.0072941934 0.0018381281 0.0037280952 0.0012398185 0.0010151824 0.005011113 0.0005810299 0.0008445453 0.009082642 0.000980623 0.03860717 0.006225012 0.02534284 0.022290813 0.07283177 0.013322649 0.010246862 0.009376397 0.04656663 0.0046849586 0.003963531 0.036578964 0.01960382 0.046408955 0.043836437 0.01897743 0.0008510252 0.039862107 0.035021633 0.060129035 0.015817406 0.0047475975 0.007730506 0.0038468933 0.010547097 0.0017841291 0.003797214 0.0018618876 0.0038490533 0.00034343405 0.002643794 5.696505 2.0 37.0 13.0 4.0 2845496.0 2875392.0 1.0 443.0 371.0 1.0 1.0 1.0 1.0 0.0 396138750.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 6.0 1.0 2676224.0 1024.0 4096.0 6.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 8192.0 -105984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2668032.0 -13312.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5861483 -6.7956886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0318975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7952237 -5.638864 5.45534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7924.0 -105516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2667786.0 -13002.0 10192.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 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 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 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 3.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 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 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 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 1.0 1.0 2.0 0.0 2.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -4.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 -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 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 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 1.0 1.0 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 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 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 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 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 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 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 1.0 0.0 2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -3.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 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 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 1.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 -2.0 2.0 -3.0 -1.0 -3.0 0.0 -1.0 2.0 -2.0 -2.0 -2.0 0.0 1.0 -4.0 -1.0 0.0 -1.0 -3.0 -3.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 -3.0 -4.0 2.0 0.0 0.0 -1.0 2.0 3.0 5.0 0.0 1.0 3.0 0.0 4.0 -1.0 2.0 1.0 1.0 3.0 -1.0 -3.0 -2.0 -1.0 0.0 1.0 -1.0 2.0 0.0 4.0 -5.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 2.0 3.0 -1.0 -2.0 -2.0 0.0 -3.0 0.0 0.0 -2.0 2.0 0.0 1.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 -2.0 -2.0 -3.0 1.0 -1.0 1.0 -1.0 -1.0 -5.0 0.0 -4.0 2.0 -3.0 1.0 1.0 -3.0 -2.0 0.0 -4.0 -3.0 -2.0 -2.0 3.0 -1.0 0.0 0.0 2.0 0.0 2.0 3.0 -1.0 0.0 -2.0 1.0 -3.0 1.0 -2.0 -1.0 3.0 0.0 0.0 0.0 31866.0 2640016.0 740.0 2741856.0 10192.0 2756608.0 0.0 0.0 8504.0 2836992.0 105516.0 2768896.0 84.0 571344.0 0.0 0.0 0.0 0.0 24.0 80024.0 64.0 79864.0 0.0 0.0 1628.0 2740224.0 0.0 0.0 0.0 0.0


Input: 0.14139117 0.011778779 0.0069526876 0.0069435216 0.019088956 0.0034282205 0.0054127383 0.0040606996 0.015646985 0.0021220136 0.0027224105 0.0014987007 0.008378058 0.0042302776 0.0012191265 0.009299277 0.011137133 0.0015582821 0.00071955967 0.00051789964 0.0029057376 0.0031578126 0.0005545651 0.0006553951 0.0019295198 0.00037582096 0.00045831825 0.00083413924 0.002057849 0.00037582096 0.0007608083 0.001104547 0.0012603751 0.00084330555 0.00040332007 0.00047665098 0.0024428363 0.00048581735 0.00027957413 0.0003345723 0.001407037 0.00039873688 0.00028415732 0.0015582821 0.0009212197 0.0003162396 0.00038040415 0.0002887405 0.0013428725 0.00047665098 0.00060956326 0.005481486 0.0009853842 0.000527066 0.00038040415 0.00043081914 0.0007333092 0.00066456146 0.0003620714 0.0029744855 0.0006966437 0.0006324792 0.0003941537 0.00043081914 0.0028186573 0.0022686752 0.0025207503 0.0018149402 0.0013428725 0.03532717 0.004221111 0.0020440994 0.0035061345 0.0039323703 0.0064072893 0.0015720316 0.0010724647 0.013887043 0.001984518 0.0009716347 0.016398627 0.0051423307 0.003015734 0.0028965713 0.0005408155 0.006828942 0.0054127383 0.004069866 0.0007333092 0.0035748824 0.0002887405 0.0022320098 0.0008570551 0.0069160224 0.0044548535 0.0035336337 0.0005728978 0.00022915912 0.00013749547 0.00019707685 0.009780511 0.0010632983 0.002259509 0.00021999275 0.0060406346 0.00019249367 0.008620966 0.00020166003 0.00083413924 0.00016957775 0.00018791048 0.0002612414 0.0012191265 0.00041248644 0.0009441356 0.0010357993 0.010747563 0.011237963 0.0011137134 0.0013291229 0.0012466257 0.0006049801 0.00021082639 0.0005545651 0.00066456146 0.0023190903 0.0014528688 0.0020120172 0.0023924212 0.0012099602 0.00023832549 0.016971525 0.0019661852 0.013818295 0.000627896 0.000678311 0.0009074701 0.022255935 0.00045373506 0.05358657 0.00063706236 0.020294333 0.00040790325 0.00046290143 0.0007837242 0.00020166003 0.0002337423 0.00016499456 0.0006553951 0.0010770479 0.00014207866 0.00027040776 0.00074247556 0.0006416456 0.0004445687 0.00037582096 0.00058664737 0.00013749547 0.00020166003 0.0001604114 0.0005408155 0.0063935397 0.00016957775 0.0032540595 0.0005499819 0.0001604114 0.00016499456 0.00020624322 0.0007562251 0.00024749184 0.00025207503 0.00027499095 0.0004995669 0.0001604114 0.00017416093 0.00022457594 0.00087538786 0.00037123778 0.00017874411 0.00040790325 0.0006966437 0.00032540594 0.000627896 0.001379538 0.0025161672 0.0006462287 0.0012512088 0.00047665098 0.0009395524 0.00031165642 0.0003666546 0.00038498733 0.008886791 0.0056418977 0.0053348243 0.0041340305 0.005229411 0.003162396 0.014899926 0.017338179 0.0035519665 0.002360339 0.0005637314 0.0013428725 0.04340274 0.0004720678 0.0021907613 0.0017553589 0.002057849 0.0008387224 0.0008570551 0.00035290504 0.0015353662 0.0002612414 0.00079747377 0.0003208228 0.0023786717 0.00042165277 0.0002612414 0.00097621785 0.0019661852 0.0002887405 0.00027040776 0.00028415732 0.0023007577 0.00042623596 0.00045831825 0.00056831463 0.0023786717 0.003941537 0.00027040776 0.0003620714 0.019561023 0.0018378561 0.00045831825 0.0021265966 0.010660483 0.0003162396 0.00022915912 0.00029332368 0.0111463 0.0020211835 0.00040332007 0.00048581735 0.007438505 0.0012328761 0.0025803316 0.0013978706 0.0024978344 0.0019936843 0.0014116202 0.0016957775 0.021362213 0.003739877 0.004367773 0.06324334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0084574 0.001273677 0.00039845592 0.000442217 0.003505491 0.0013773217 0.0006518094 0.0007946086 0.010592478 0.00069787365 0.00049979734 0.00082915684 0.004691646 0.0007577572 0.0016882555 0.015228847 0.051658776 0.005191443 0.0018034162 0.0022732716 0.019038362 0.01152528 0.005223688 0.0063292305 0.028288068 0.0010756006 0.0030241192 0.0019439121 0.025102723 0.0022133882 0.008468916 0.029669996 0.18069631 0.022288196 0.0095675485 0.014127911 0.062417082 0.053450674 0.024729602 0.029577866 0.097043596 0.004965728 0.010417434 0.008821308 0.089970425 0.010663878 0.03560538 0.08150612 0.0022295106 0.0004122752 0.0002902049 0.0002717792 0.00092128536 0.0006679319 0.00031554024 0.0004445202 0.0012529481 7.370283e-05 0.0001197671 0.00014279924 0.00080151827 0.0002556567 0.00046524912 0.00076927326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 118.0 5.4661016 645.0 0.017054264 0.0015503876 0.0015503876 0.0 0.010852713 0.0015503876 0.0031007752 0.0 0.0062015504 0.0015503876 0.0015503876 0.009302326 0.0031007752 0.0 0.013953488 0.0 0.0031007752 0.012403101 0.004651163 0.009302326 0.0 0.0 0.0 0.0015503876 0.0 0.018604651 0.0015503876 0.012403101 0.0015503876 0.0015503876 0.0015503876 0.0015503876 0.012403101 0.007751938 0.004651163 0.007751938 0.0031007752 0.0 0.0015503876 0.0031007752 0.0 0.0 0.0015503876 0.0031007752 0.015503876 0.0 0.0015503876 0.0015503876 0.12248062 0.10387597 0.0031007752 0.11472868 0.0031007752 0.004651163 0.10387597 0.10232558 0.0015503876 0.0015503876 0.0015503876 0.004651163 0.0031007752 0.004651163 0.009302326 0.004651163 0.004651163 0.009302326 0.0015503876 0.004651163 0.0062015504 0.007751938 0.009302326 0.0031007752 0.017054264 0.0031007752 0.017054264 0.0 0.0031007752 0.0031007752 0.0062015504 0.007751938 0.009302326 0.0 0.012403101 0.004651163 0.029457364 0.018604651 0.0031007752 0.009302326 0.0015503876 0.0015503876 0.0 0.0031007752 0.0031007752 0.0015503876 0.004651163 0.0 4.8585024 0.0 0.0 0.0 1.0 218189.0 2846720.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1539765100.0 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 11.0 6.0 0.0 6.0 0.0 648704.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 199168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -648704.0 0.0 1902080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.172817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 199076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -648503.0 0.0 1901928.0 0.0 0.0 0.0 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 0.0 280.0 846692.0 1901928.0 892928.0 0.0 0.0 3296.0 2827264.0 45220.0 2797568.0 112.0 736064.0 0.0 0.0 0.0 0.0 24.0 736328.0 64.0 736176.0 0.0 0.0 1380.0 655360.0 0.0 0.0 0.0 0.0


Input: 0.0061510475 0.0039540115 0.003857672 0.0038658362 0.0040307567 0.0038919623 0.0038729801 0.0038546103 0.003910332 0.0038646117 0.0038954322 0.0038731843 0.0039180885 0.003828076 0.0038439967 0.004033002 0.003940132 0.0038750211 0.003839302 0.0038503238 0.0038713473 0.0038229732 0.0038172582 0.003818891 0.0039068623 0.0038480787 0.0038219527 0.0038515485 0.003934213 0.0038580801 0.0038752253 0.0038454253 0.0038925747 0.0038915542 0.0038152172 0.0038127678 0.004252216 0.0038680816 0.0038586925 0.0038419554 0.0038868596 0.003908087 0.0038419554 0.003855835 0.0038915542 0.0038497117 0.0038940033 0.0038082774 0.0042903842 0.0042018006 0.004193636 0.00421466 0.0043450855 0.0043334514 0.0042324173 0.0042254776 0.004254257 0.0042234366 0.0042646667 0.0042350707 0.004226498 0.0042275186 0.0041344445 0.004219354 0.0038919623 0.0038266473 0.0038439967 0.0038815527 0.0039644213 0.003897065 0.00380195 0.0038588967 0.0038560391 0.0038213404 0.0037878663 0.0038697144 0.003945439 0.0038425678 0.003853998 0.0038286883 0.0039325804 0.003885635 0.0038525693 0.003837465 0.0039086994 0.0038999226 0.0038064404 0.003865224 0.0038639994 0.0037876624 0.0038788994 0.00386502 0.003945643 0.0038425678 0.003835628 0.0038464458 0.003986261 0.003857876 0.0038482829 0.0038676732 0.0039672786 0.0038601211 0.004080151 0.0038258308 0.003912169 0.0038546103 0.0038807362 0.0038290967 0.003898494 0.0038629787 0.0038419554 0.0038331787 0.0038831856 0.0038603253 0.0038235856 0.003893187 0.004025246 0.0038927787 0.0038809404 0.0038525693 0.003898698 0.0038382814 0.0038521609 0.0038921665 0.003917476 0.0037952145 0.0038548145 0.0038219527 0.0039280895 0.0038697144 0.0038350157 0.003919721 0.003916864 0.0038566513 0.003866857 0.0038572636 0.0039407443 0.0039221705 0.0038758377 0.003902576 0.0038972693 0.004001161 0.0038591006 0.0038333829 0.0039144144 0.0038474663 0.0038713473 0.0038286883 0.0038880843 0.0038274636 0.0037762322 0.003848487 0.003952379 0.0038666527 0.0038068485 0.0038760419 0.004027083 0.003867265 0.0038303211 0.0038517527 0.003863591 0.0038682856 0.0038174624 0.0038162377 0.0038831856 0.003884206 0.0038205239 0.0038172582 0.0038886967 0.0037811308 0.003824402 0.003882165 0.00390625 0.0037876624 0.0038366485 0.003919517 0.0039240075 0.0038301172 0.0038454253 0.0037892952 0.0038729801 0.0038195034 0.0038488952 0.0038468542 0.003910128 0.0038290967 0.0038625705 0.0038572636 0.00389135 0.0038456295 0.0038772665 0.003839098 0.003884206 0.0039109443 0.0038531816 0.0038564473 0.003924824 0.0037866419 0.0039289063 0.0038858391 0.0039333967 0.0038805322 0.0038362404 0.0038809404 0.0039031883 0.0038862473 0.0038284843 0.003884002 0.003912169 0.0038552226 0.0038768582 0.0039068623 0.003923599 0.0038307295 0.0038582843 0.0038637952 0.0039003307 0.003878491 0.0038468542 0.003866857 0.0038742048 0.0038595088 0.0038433843 0.0038831856 0.003928498 0.0038644075 0.0038139925 0.0038274636 0.0039033925 0.0038197075 0.0038325663 0.0038703268 0.0039909557 0.0040134075 0.0038915542 0.003863387 0.0039111488 0.0038593048 0.0038554268 0.003828076 0.0038848184 0.0038437925 0.0038521609 0.003863591 0.0039046172 0.0038864515 0.003900943 0.0038754295 0.0038962485 0.003857876 0.0038511404 0.0038629787 0.003842976 0.003848691 0.0039154347 0.0041156663 0.0002090738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015986795 3.1646914e-06 3.266778e-06 3.981386e-06 3.368865e-06 2.756344e-06 2.9605178e-06 3.0626045e-06 3.1646914e-06 2.9605178e-06 3.368865e-06 4.389733e-06 2.4500837e-06 3.5730386e-06 3.266778e-06 3.4709517e-06 0.0001494551 5.4106013e-06 6.0231223e-06 2.858431e-06 3.879299e-06 3.1646914e-06 4.389733e-06 3.981386e-06 4.49182e-06 3.0626045e-06 3.879299e-06 3.5730386e-06 5.002254e-06 3.879299e-06 3.879299e-06 2.1438232e-06 0.00014486119 2.5521704e-06 4.0834725e-06 3.0626045e-06 4.2876463e-06 1.633389e-06 7.350251e-06 4.593907e-06 5.8189485e-06 3.7772122e-06 2.858431e-06 4.593907e-06 5.716862e-06 3.7772122e-06 5.002254e-06 5.1043407e-06 0.00012975234 6.0231223e-06 6.329383e-06 2.9605178e-06 6.533556e-06 5.206428e-06 8.269032e-06 7.5544244e-06 3.368865e-06 5.3085146e-06 3.4709517e-06 6.0231223e-06 6.8398167e-06 4.6959935e-06 3.1646914e-06 3.5730386e-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 0.000970131 0.00039364677 0.00038343808 0.006109998 0.0003848673 0.00038068174 0.00039824066 0.00038915494 0.00037026888 0.00037047305 0.000365675 0.00036802297 0.00036067274 0.00036210194 0.00036189778 0.00036608332 9.861586e-05 7.350251e-06 7.962772e-06 5.1043407e-06 7.4523377e-06 7.248164e-06 5.9210356e-06 1.0004508e-05 9.289901e-06 7.248164e-06 8.269032e-06 7.0439905e-06 8.064859e-06 6.125209e-06 6.6356433e-06 6.73773e-06 0.000105864034 2.3173709e-05 2.78697e-05 0.00015455944 2.409249e-05 1.9804842e-05 3.338239e-05 1.9702757e-05 3.2974043e-05 2.2969534e-05 1.8069366e-05 2.0825712e-05 2.5930052e-05 2.5317531e-05 3.1749e-05 4.0936815e-05 0.0006257922 0.000106272375 0.00028921195 0.000110764195 0.00013597964 0.00010484316 0.0002556254 8.340493e-05 0.00028227005 0.00011546019 7.482964e-05 0.00011137672 0.00018140828 0.00017364968 0.00020795084 0.0002772678 0.061860222 0.061243925 0.061447382 0.061433397 0.06121585 0.061344784 0.06148638 0.061464533 0.061587855 0.061365817 0.061134998 0.061181344 0.061482705 0.061414614 0.061467495 0.061515577 24359.0 6.0738945 147954.0 0.010733066 0.009638131 0.009131216 0.008935209 0.011050732 0.009354259 0.008969004 0.009293429 0.010341052 0.008860862 0.009320465 0.009448883 0.010672236 0.009151493 0.009611095 0.008664856 0.015356124 0.013943523 0.013754275 0.014477473 0.015849521 0.015187153 0.014714032 0.014153047 0.015247983 0.014511267 0.013855658 0.014605891 0.015808968 0.0137407575 0.013848899 0.013632615 0.01005718 0.0094624 0.009401571 0.009698961 0.011016938 0.009482677 0.009198805 0.008881139 0.010733066 0.009043352 0.008867621 0.009401571 0.011253498 0.009077146 0.009232599 0.009131216 0.010510024 0.009252876 0.00916501 0.00905011 0.010989903 0.009239358 0.008800033 0.009563783 0.01094259 0.009137975 0.009036592 0.008921692 0.011098044 0.009435365 0.0090974225 0.009192046 0.01005718 0.009523231 0.0090974225 0.008955486 0.010253186 0.009692201 0.009455642 0.009489436 0.010685754 0.009259635 0.008975763 0.009016315 0.010787137 0.009428606 0.009428606 0.009550266 0.010361329 0.009651649 0.009374536 0.009557025 0.011442746 0.009529989 0.009192046 0.009104181 0.00999635 0.009178529 0.009002798 0.009279911 0.010219392 0.009232599 0.00911094 0.00887438 6.561139 1.0 0.0 0.0 83.0 4899328.0 10645504.0 0.0 1.0 16.0 1.0 1.0 0.0 1.0 0.0 1540951600.0 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 10.0 0.0 5.0 1.0 5.0 1.0 1270272.0 1024.0 4096.0 8.0 4.0 0.0 3.0 4.0 0.0 0.0 -512.0 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 -4896256.0 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 -5.1528335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9989963 0.0 0.0 0.0 0.0 3.1245892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 -416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 395674.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143286.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60876.0 0.0 0.0 0.0 0.0 0.0 -4895924.0 0.0 0.0 -1270125.0 0.0 3856256.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3152.0 2027412.0 220.0 2005464.0 3856256.0 6787072.0 0.0 0.0 0.0 0.0 416.0 6782976.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 2868528.0 64.0 6779904.0 0.0 0.0 108.0 2007040.0 0.0 0.0 0.0 0.0


Input: 0.05668442 0.008300762 0.0061683515 0.00565881 0.005755126 0.0049556014 0.0042006103 0.0054237167 0.0050519174 0.0056194556 0.0037511366 0.0044729873 0.0049587083 0.0031742777 0.004324889 0.0046449057 0.0050332756 0.0037718497 0.0049255677 0.004159184 0.00435078 0.0031753134 0.004110508 0.003839167 0.005070559 0.0033524102 0.0031597784 0.0029267566 0.0041488274 0.003439405 0.0037873846 0.0037915271 0.0061724945 0.0038194899 0.0034829024 0.0030292862 0.004900712 0.004162291 0.0038422742 0.00371696 0.0047256863 0.0038950925 0.0033327327 0.003095568 0.004371493 0.0037304235 0.003729388 0.0035854322 0.0055107116 0.003946875 0.003107996 0.002903972 0.003675534 0.0030707123 0.0026813066 0.0028677243 0.004168505 0.003320305 0.0035201858 0.003358624 0.0040059076 0.0032198464 0.0035025799 0.0034466544 0.006611611 0.003944804 0.0036258225 0.0032188108 0.0041560773 0.0032177751 0.0035419345 0.0030655342 0.004999099 0.0037780637 0.003702461 0.0035926816 0.0041250074 0.0031276732 0.003561612 0.0034652962 0.0051793028 0.0036299652 0.0036506783 0.0033358396 0.003932376 0.0033896936 0.0033658736 0.0035346851 0.0046573333 0.0036444643 0.0038122402 0.0035087937 0.00411258 0.003382444 0.003686926 0.0037832418 0.005912545 0.0036237512 0.003341018 0.0029598975 0.0040121214 0.0030499992 0.0032612726 0.003027215 0.0049763145 0.0031608143 0.0031980977 0.0030489636 0.0035812894 0.0028397616 0.0030893541 0.003197062 0.004506128 0.0032923422 0.0032260604 0.003143208 0.0038930213 0.0033327327 0.0032913066 0.0036247869 0.004623157 0.0032892353 0.00347876 0.0031711708 0.0040328344 0.003200169 0.0034725459 0.0033430893 0.008650813 0.004595194 0.0040152282 0.0035253642 0.0043704575 0.0034414763 0.0030251436 0.0033896936 0.004539269 0.0038381314 0.0029547191 0.0031949908 0.0037304235 0.0028024781 0.002850118 0.002979575 0.005225907 0.0032115611 0.0034953302 0.0030282505 0.0036641418 0.00318567 0.0033078769 0.003260237 0.004544447 0.0028397616 0.003038607 0.0026989128 0.003513972 0.0032281317 0.0029806106 0.0031514934 0.00500842 0.0034176563 0.0032695578 0.0027952285 0.0037811706 0.0030106443 0.003057249 0.0031815274 0.0041395067 0.0030044306 0.0031183525 0.003017894 0.0036403218 0.0028397616 0.0029226139 0.003032393 0.0046749394 0.0031193881 0.003839167 0.002856332 0.0035636832 0.0031504577 0.00298786 0.0031183525 0.0042534284 0.0031421725 0.0033379109 0.0031784202 0.0036465356 0.0031887768 0.0033265187 0.0033379109 0.006722426 0.004062868 0.0037221382 0.0033379109 0.0041156868 0.0032519517 0.003295449 0.0032239892 0.0043342095 0.0033327327 0.003113174 0.0030841758 0.0036465356 0.0029826818 0.003077962 0.0028014425 0.0042441078 0.0032819856 0.0030862472 0.0029982165 0.0037128176 0.0030261793 0.0029360773 0.0029516122 0.0039779446 0.003113174 0.0027227327 0.0026367735 0.003531578 0.0029412557 0.003577147 0.0028822233 0.00495353 0.0032374526 0.0034041926 0.0029775035 0.0038029193 0.0030676054 0.0031939552 0.002910186 0.0044419174 0.0054527153 0.0034704746 0.0031328516 0.0037884202 0.0030841758 0.0032457379 0.0031898124 0.0046117646 0.0033151265 0.0034249057 0.0030437855 0.0037387088 0.0030903898 0.0033099484 0.0032405595 0.00434353 0.0030313574 0.0031887768 0.0028646174 0.0040110857 0.0031038532 0.004222359 0.004515449 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099233694 0.062023655 0.062470943 0.055316404 0.060619522 0.059579134 0.054943834 0.054473713 0.060468003 0.053142227 0.052120004 0.052927922 0.056410234 0.050526474 0.056664493 0.05381939 4028.0 5.7023335 22969.0 0.017153556 0.010448866 0.009316905 0.008750925 0.013365841 0.012451565 0.011798511 0.011450215 0.012582176 0.009795812 0.008446166 0.008750925 0.013844747 0.010623014 0.011885585 0.00996996 0.016718185 0.012016196 0.008794462 0.0075754276 0.009795812 0.00853324 0.0077931127 0.008359092 0.010361792 0.00840263 0.009621664 0.008837999 0.011493753 0.009012147 0.0096652005 0.009186295 0.018111367 0.010884236 0.010361792 0.009142757 0.010840698 0.008794462 0.010710088 0.008359092 0.014193043 0.011580827 0.009708738 0.009012147 0.011450215 0.009360442 0.0116679 0.00953459 0.014759023 0.009578127 0.00996996 0.00896861 0.012059732 0.009316905 0.00953459 0.0097522745 0.013714137 0.009229831 0.01053594 0.00953459 0.011188994 0.009882886 0.010405329 0.010710088 0.01793722 0.01097131 0.0096652005 0.008228482 0.013061082 0.008272019 0.009360442 0.008315556 0.015412077 0.009273369 0.008881536 0.008707388 0.011363141 0.008010797 0.009882886 0.007836649 0.0132787675 0.007967261 0.008707388 0.008794462 0.011406679 0.009491053 0.008184945 0.007836649 0.01097131 0.008794462 0.011972658 0.008576778 0.011276068 0.009012147 0.0100134965 0.008881536 6.5546565 0.0 0.0 0.0 14.0 965574.0 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: 0.026060592 0.009453353 0.00825536 0.009782658 0.009288699 0.0073526073 0.00660883 0.0074491277 0.009635038 0.0062113917 0.0062852018 0.0067450944 0.008102062 0.00547897 0.0055754906 0.0061602923 0.008823128 0.0059104743 0.00481468 0.0052291513 0.006773483 0.0052632177 0.0044853743 0.004746548 0.0061091934 0.005041788 0.003815407 0.0045535066 0.005166697 0.0039459937 0.0036904977 0.0038437955 0.008050963 0.004400209 0.0046443497 0.005217796 0.005757177 0.0040425146 0.003542878 0.00375863 0.005132631 0.0030602743 0.003911928 0.0049168784 0.0051950854 0.003741597 0.003139762 0.0033555143 0.005234829 0.0031340844 0.0036280432 0.0037813408 0.0045932503 0.0028899438 0.003542878 0.0034179688 0.0044796965 0.0030034974 0.0031511174 0.005075854 0.0043718205 0.0028899438 0.0024016625 0.0025038607 0.0074491277 0.005314317 0.0042752996 0.0048090024 0.005564135 0.0049168784 0.004803325 0.004002771 0.0052291513 0.00375863 0.002975109 0.0038437955 0.0037870186 0.004110647 0.003031886 0.0029864644 0.0065974747 0.0042242007 0.0036280432 0.004428597 0.0050872094 0.004343432 0.0039459937 0.0034577125 0.005115598 0.0038835392 0.002736646 0.0037813408 0.0034690679 0.0030262081 0.0028729106 0.0032817042 0.0048487466 0.0039743823 0.0032022165 0.0033839026 0.0055811685 0.0035826217 0.0039346386 0.0031795057 0.004650027 0.0028388444 0.0032646712 0.0031284066 0.0049623 0.0038324401 0.0035088118 0.0036166878 0.0047976472 0.0021291333 0.004036837 0.004031159 0.006063772 0.005677689 0.0034690679 0.0031284066 0.0039857375 0.002413018 0.0021121004 0.0032135719 0.0037245639 0.003082985 0.0027025798 0.0028218115 0.0071652434 0.0037870186 0.004122002 0.0058366642 0.004087936 0.0035826217 0.0030716297 0.0032192497 0.0055073583 0.0041731014 0.004928234 0.0052916063 0.0037245639 0.003798374 0.0023505632 0.0021802327 0.005053143 0.0031284066 0.0034009358 0.0028501998 0.0027877453 0.001970158 0.0027707121 0.0026741915 0.002992142 0.0018679596 0.0026458031 0.002810456 0.0027252906 0.0021348111 0.0023789518 0.001953125 0.0044058864 0.0025833484 0.0036166878 0.0026174146 0.0029523983 0.0019644804 0.0021404887 0.0018452489 0.004161746 0.0021631995 0.0032419604 0.00240734 0.003559911 0.0024357287 0.0017544059 0.002009902 0.0052688955 0.00292401 0.0032760266 0.0031681505 0.00262877 0.002413018 0.0033271257 0.002992142 0.0033441589 0.0030034974 0.0029637536 0.0029807866 0.0028899438 0.002225654 0.0026344478 0.002662836 0.00503611 0.003911928 0.003486101 0.0040992913 0.0035201672 0.0026401253 0.003304415 0.003082985 0.005456259 0.0035088118 0.0018566042 0.0027025798 0.00292401 0.0024186955 0.0021064226 0.0025833484 0.004110647 0.0027309684 0.0021631995 0.00255496 0.0031567952 0.002151844 0.0024470838 0.0024414062 0.004706804 0.0032249272 0.0020269349 0.003917605 0.0032192497 0.0024243733 0.0023675964 0.002810456 0.0044569857 0.0020553234 0.0022540425 0.0019304142 0.0043774983 0.0017260174 0.0017430505 0.0017544059 0.003798374 0.0021064226 0.0022881087 0.0054846476 0.004110647 0.0025833484 0.0023448856 0.0024016625 0.0053881267 0.0020155795 0.0024754724 0.0019304142 0.003701853 0.0018452489 0.003503134 0.002867233 0.0042809774 0.0019871911 0.0019588026 0.0025152161 0.0033100927 0.0018963481 0.0025152161 0.0055243913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041118423 6.567525e-05 0.00023985746 0.00011421784 0.0004968476 0.00012563962 0.0001370614 0.00011136239 0.00011992873 1.7132676e-05 3.1409905e-05 0.0001313505 2.855446e-05 2.855446e-05 1.7132676e-05 7.1386145e-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 0.0037292123 0.00014848319 0.00016561586 0.00011707328 0.00026555647 8.851882e-05 6.85307e-05 0.00011136239 0.00030838815 5.710892e-05 5.9964364e-05 0.00015133864 0.0001370614 0.000105651496 0.0001370614 0.00019702577 0.004380254 0.00021130299 0.0007224278 0.00022843567 0.001581917 0.0006196318 0.0019616913 0.0015904834 5.710892e-05 5.1398027e-05 4.283169e-05 6.85307e-05 3.9976243e-05 4.5687135e-05 4.283169e-05 5.1398027e-05 0.0029810856 0.00028554458 0.00021130299 0.00017132676 0.00014848319 0.00021986934 0.00021701389 0.00023414656 0.00022558022 0.0001370614 7.4241594e-05 0.00021415844 0.00016561586 0.00016561586 0.00016276042 0.00023414656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020016676 0.00045972678 0.00035978618 0.00025413468 0.00027126737 0.00020273666 0.00021701389 0.00024271291 0.00035407528 0.00015704952 0.00016561586 0.00019417032 0.00023414656 0.00020844756 0.00025413468 0.00027126737 0.0018674616 0.0019359923 0.0012306971 0.00091659813 0.0006281981 0.0005539565 0.00046258225 0.0005282575 0.00046258225 0.00035121985 0.00032837628 0.0005025585 0.0003369426 0.00034550895 0.0003312317 0.0009137427 0.116585 0.07954416 0.06926455 0.05659779 0.06742279 0.062171623 0.058099758 0.05433057 0.065680966 0.043622646 0.043402776 0.04770879 0.05199196 0.04582134 0.044724848 0.0462468 1201.0 6.898418 8285.0 0.01738081 0.009897405 0.008086904 0.014121907 0.017501509 0.008569704 0.007845504 0.006638503 0.012794207 0.006638503 0.0068799034 0.010742306 0.014121907 0.0071213036 0.008086904 0.0063971034 0.010742306 0.008449004 0.009052505 0.009656005 0.010380205 0.006638503 0.0071213036 0.0070006037 0.009535305 0.0047073024 0.005914303 0.009776705 0.0109837055 0.007362704 0.0036210017 0.0035003019 0.026674714 0.014242607 0.008931804 0.013035607 0.016777309 0.014725408 0.014484007 0.0074834037 0.013518407 0.010500905 0.0067592035 0.008207604 0.012914906 0.011828606 0.013156307 0.009052505 0.017139409 0.008569704 0.010138805 0.015208208 0.015691008 0.009535305 0.008328305 0.008931804 0.011345806 0.008449004 0.004586602 0.0057936027 0.009173204 0.0053108027 0.0035003019 0.012311406 0.008931804 0.015328907 0.006035003 0.012190706 0.01991551 0.01967411 0.010742306 0.008931804 0.012311406 0.012914906 0.0051901024 0.008811104 0.013759807 0.013277006 0.015328907 0.014484007 0.016294507 0.0071213036 0.016898008 0.016777309 0.023415811 0.017984308 0.008931804 0.0070006037 0.009776705 0.005914303 0.004103802 0.0054315026 0.006276403 0.0051901024 0.0032589016 0.004224502 6.451554 0.0 0.0 0.0 2.0 176128.0 471040.0 0.0 47.0 8.0 1.0 1.0 0.0 0.0 0.0 1002417200.0 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 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 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 172032.0 1024.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -171008.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8885245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.572564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -290816.0 0.0 4096.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1764.0 468940.0 500.0 468440.0 1496.0 466944.0 0.0 0.0 0.0 0.0 12.0 470704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0