Input: 0.39733893 0.007571085 0.006194715 0.005749048 0.0065101986 0.0055091544 0.004761652 0.004940129 0.0068031102 0.0043107364 0.004190002 0.0039333105 0.0052346154 0.0037044405 0.0037144143 0.0050193937 0.004711784 0.0036041785 0.0033894817 0.0033690094 0.0040020766 0.0038808174 0.0032792462 0.003111793 0.003571633 0.0032167793 0.0028640255 0.003005757 0.0033999803 0.0030713733 0.0028199311 0.0029889592 0.003066124 0.0014272884 0.0014236139 0.0013700709 0.0028346293 0.0014614089 0.0014215141 0.001269284 0.0015543217 0.0014871305 0.0015102274 0.0017317486 0.0015963162 0.0014734823 0.0018587819 0.0014199393 0.001736473 0.001437262 0.0013968423 0.0026776749 0.0016482845 0.0015653453 0.0014661333 0.0013968423 0.0018776795 0.002149069 0.0016162636 0.0025600903 0.0019705922 0.0023007742 0.002208911 0.0036125774 0.003639874 0.0020677047 0.0014519601 0.0018724301 0.004077667 0.0043018125 0.0018467085 0.0013312259 0.0014650834 0.0013522232 0.0011343766 0.0009879208 0.0013726954 0.002140145 0.0014955294 0.001116529 0.0030430271 0.0015800433 0.0011747964 0.0019438209 0.0014477606 0.001560621 0.0023737396 0.0020388335 0.0013889683 0.0018430339 0.0010556369 0.0012220402 0.0011942189 0.001551697 0.0016267622 0.0014320128 0.0011910693 0.0017181003 0.0011732216 0.0015044532 0.0014246637 0.002569539 0.0020535314 0.0011060303 0.0017763677 0.0017753178 0.0022750525 0.0012120665 0.0018309605 0.0012934308 0.0018514328 0.0018545825 0.0018603567 0.0012939558 0.0019480203 0.0018556323 0.004659291 0.0043259594 0.0017600948 0.0015705946 0.001690279 0.0016897541 0.0015427732 0.0015443481 0.0018566822 0.0022934251 0.0018839786 0.0017784674 0.0023590415 0.0019280729 0.0016661321 0.0042645424 0.0019453956 0.0033180912 0.0015548466 0.001460359 0.001697628 0.0035359375 0.0014099656 0.007731714 0.001361147 0.0030388276 0.0011758462 0.0012503865 0.0013942177 0.0011842451 0.0011091799 0.0011328019 0.0012493366 0.001093957 0.0010178419 0.0011081301 0.0010750594 0.0010036688 0.0010834583 0.0010293904 0.0010440885 0.0010745345 0.0010388391 0.001154324 0.0011868698 0.0011186287 0.0010440885 0.0011013059 0.0011076052 0.001261935 0.00097374764 0.0009810966 0.0011448753 0.0011123295 0.0011097048 0.0009978944 0.0011280775 0.0010320151 0.0009553751 0.00096062437 0.0011186287 0.00095852464 0.0010713849 0.001008918 0.0011328019 0.0009915953 0.0012110167 0.0012052424 0.0015469727 0.0009931701 0.0009611493 0.0009779471 0.0012241399 0.0011516993 0.001124403 0.0021957878 0.0047233324 0.00256114 0.0025884365 0.0027154698 0.0021070745 0.0016813552 0.0020015633 0.0022288584 0.0018545825 0.001874005 0.0014514351 0.0015485475 0.00183516 0.0013926429 0.0016257124 0.0015364741 0.0016351611 0.001536999 0.0015737442 0.0015417234 0.0015669201 0.0013810943 0.001429913 0.0014892302 0.0016724312 0.0015238757 0.0014325377 0.0016089146 0.0016036653 0.0014225639 0.001322302 0.0017863414 0.0033128418 0.0029427651 0.002835679 0.0029044452 0.0034461743 0.0029747859 0.0029464397 0.0029317415 0.006927519 0.003784755 0.0032288528 0.0042708414 0.004205225 0.0032676978 0.0032251782 0.0033448625 0.004274516 0.003792629 0.0038068022 0.003769007 0.0039275363 0.0036152021 0.0045684776 0.0046682144 0.005100758 0.004410998 0.004410473 0.0046157213 0.0055558733 0.004781075 0.0058309375 0.017895434 0.34319526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010149105 3.6772121e-06 1.5759481e-06 3.1518962e-06 4.465186e-06 3.93987e-06 3.93987e-06 3.4145542e-06 2.101264e-06 1.5759481e-06 2.3639222e-06 1.5759481e-06 1.3132901e-06 2.6265802e-06 2.101264e-06 2.3113906e-05 0.00050010084 0.0 0.0 1.050632e-06 1.3132901e-06 7.8797405e-07 2.6265802e-06 2.101264e-06 1.050632e-06 5.25316e-07 5.25316e-07 1.050632e-06 5.25316e-07 5.25316e-07 1.5759481e-06 2.4164538e-05 0.0014178279 1.47088485e-05 1.707277e-05 6.8291083e-06 3.3882883e-05 1.0506321e-05 3.5984147e-05 2.7316433e-05 2.1275298e-05 4.9905025e-06 2.3639222e-06 5.2531605e-06 2.6265802e-06 4.9905025e-06 4.9905025e-06 3.1518962e-06 0.0009290214 3.0993644e-05 8.405056e-06 9.455689e-06 4.9905025e-06 4.202528e-06 6.5664503e-06 1.1294294e-05 2.363922e-05 4.7278445e-06 6.3037924e-06 5.5158184e-06 3.6772121e-06 4.7278445e-06 1.6022139e-05 6.3037924e-06 0.0008050468 7.8797405e-07 8.142399e-06 1.3920875e-05 7.012969e-05 3.1256302e-05 0.00020618654 0.0014866444 0.0015649165 0.0001082151 1.3132901e-06 0.0 0.0 6.0411344e-06 2.62658e-07 5.25316e-07 0.0025971625 8.063601e-05 6.0936658e-05 1.9436693e-05 0.00015654418 6.0936658e-05 0.00034381935 0.0020996882 0.0022822355 0.00036246807 4.4389206e-05 1.3920875e-05 1.9699351e-05 1.8386061e-05 6.9079055e-05 0.00037743957 0.0075611365 0.00021301565 0.00042576864 0.0001258132 0.00062486343 0.0001801834 0.0011974579 0.0018475365 0.0016255905 0.00045439837 0.00010768979 5.305692e-05 0.00014603786 7.827209e-05 0.00018674985 0.0013101381 0.007236491 0.00013500622 0.0004428414 0.00020566123 0.0008914613 0.0003191295 0.0012113787 0.0015066063 0.0012870242 0.0003671959 0.00012161066 6.5401844e-05 0.0001638986 0.00019095237 0.0002440093 0.0006731925 0.0067941747 0.000182022 0.0006550691 0.00033987948 0.0013905115 0.0006713539 0.0025808776 0.0012471003 0.00016048405 6.146198e-05 0.00010768979 0.0001670505 0.00023954411 0.00014735115 0.000121348006 0.00019594288 0.003786478 0.00019252833 0.00032569593 0.0003585282 0.00080793607 0.0002928637 0.0008360405 0.0004252433 8.405057e-05 7.406956e-05 9.6920805e-05 0.0001376328 0.0001263385 0.00014603786 0.00015496823 0.00022352197 0.0028280388 0.00015155367 0.00040764525 0.00042182876 0.0011948313 0.00034565796 0.0011034263 0.00060595205 0.00013658217 0.00011189232 0.00012082269 0.00013710749 0.00012082269 0.00011241763 0.00010585118 0.00016442392 0.0019972515 0.00041000918 0.00019121503 0.0003903098 0.00035143644 0.00014656318 0.00036955983 0.0002978542 0.00017729416 0.00013526887 0.0001638986 0.00015733215 0.00018543655 0.0001276518 0.00027106307 0.0005450154 0.03676897 0.014233175 0.0060800076 0.0067222067 0.0072806175 0.0067463713 0.0052376636 0.006674403 0.009805549 0.004462297 0.004527436 0.0048583853 0.007826683 0.005738027 0.015005653 0.03124396 0.053368956 0.033908363 0.013398711 0.017092995 0.015306658 0.014304356 0.010225802 0.013893296 0.019290393 0.008430009 0.008779344 0.009876992 0.019287242 0.013187008 0.035758 0.045790747 0.0047714454 0.004730996 0.0048644263 0.0058958842 0.0035211933 0.0033431111 0.0032327948 0.0034116649 0.0032398866 0.003204165 0.003125893 0.003373317 0.005599869 0.004755686 0.0046193665 0.0044749044 5715.0 9.3212595 53271.0 0.017945975 0.009836497 0.009536145 0.010775093 0.011657375 0.009667549 0.012445796 0.009780181 0.00745246 0.0076401792 0.0089729875 0.009254566 0.008653864 0.009780181 0.0122956205 0.009217022 0.010118076 0.008541233 0.008541233 0.008766496 0.009630005 0.010568602 0.010493514 0.0099679 0.011169304 0.013084042 0.012276849 0.013966323 0.015524394 0.014942464 0.017232642 0.027613522 0.026261944 0.010812637 0.0019898256 0.008916671 0.01199527 0.005237371 0.0049182484 0.00812825 0.0054063187 0.008785267 0.003078598 0.0023464924 0.005894389 0.0057066698 0.0072084246 0.004073511 0.0100617595 0.003397721 0.003960879 0.011882638 0.005931933 0.004636669 0.011112988 0.011000357 0.0063824593 0.003059826 0.0025905278 0.002778247 0.0037168441 0.0037731598 0.004786845 0.005669126 0.0050308798 0.014548253 0.0054250904 0.012051585 0.008728952 0.028214226 0.0061008804 0.006570179 0.006157196 0.016387904 0.0053687748 0.005331231 0.014829832 0.008653864 0.017852115 0.019597905 0.012408252 0.007170881 0.021212291 0.0173265 0.03146177 0.016800886 0.012577199 0.01199527 0.012952639 0.016012464 0.012558428 0.013365621 0.012539656 0.0122956205 0.012858778 0.012764919 6.387946 0.0 0.0 0.0 5.0 1905011.0 1941504.0 1.0 0.0 376.0 0.0 1.0 0.0 0.0 0.0 1195553800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 258048.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335872.0 0.0 1462272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3503113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7697833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.637946 0.0 5.109338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82514.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335496.0 0.0 1461036.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -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 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 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 1.0 0.0 -2.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 336212.0 1461036.0 401408.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 263904.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 311096.0 0.0 0.0 1568.0 262144.0 64.0 336076.0 0.0 0.0


Input: 0.29857287 0.02729313 0.004584145 0.0041606673 0.0059075123 0.0049864487 0.0042982977 0.0022444313 0.006659185 0.0023397137 0.00245617 0.0019903446 0.0027949521 0.0037689507 0.0013974761 0.008744813 0.00723088 0.0026784958 0.0011751504 0.0014821716 0.0021597357 0.004224189 0.0018315406 0.0012492589 0.0027737783 0.0015033454 0.001048107 0.001048107 0.0012704328 0.0017150843 0.0007622597 0.0013763022 0.010131702 0.0009316507 0.0014504108 0.0012598458 0.010819852 0.0013974761 0.00085754215 0.001228085 0.004097146 0.0011751504 0.0009951723 0.0020538664 0.0010057593 0.0064262724 0.0020326925 0.0013021936 0.00646862 0.002255018 0.0016727365 0.0049017533 0.0019903446 0.00097399845 0.0007622597 0.00078343356 0.0033878207 0.002657322 0.0015456933 0.0035783858 0.0012916067 0.0017680189 0.003546625 0.0069662067 0.0050817314 0.007029728 0.001588041 0.00245617 0.0051876004 0.0035360379 0.0012174981 0.0014609977 0.0406115 0.0060451427 0.0015668671 0.0015033454 0.0066485982 0.0028055392 0.0011222156 0.0012492589 0.0035360379 0.00073049887 0.001058694 0.0023397137 0.0023714746 0.0023820614 0.0015245194 0.0022761922 0.002255018 0.0009422377 0.00083636824 0.0013657153 0.0033666468 0.001058694 0.0009951723 0.002085627 0.0025408657 0.004922927 0.0015986279 0.0041818414 0.0035360379 0.008204878 0.0032290167 0.0013127805 0.002826713 0.004446515 0.00085754215 0.0012916067 0.0045206235 0.0024032353 0.0043088845 0.004573558 0.004605319 0.0007516727 0.0065850765 0.0056110783 0.013741848 0.006690946 0.0015351063 0.0015562802 0.0019903446 0.0019797578 0.0010904549 0.0006563903 0.0015562802 0.00070932496 0.0008151944 0.000878716 0.010491657 0.0019797578 0.0012069112 0.011677395 0.0025620395 0.0053040567 0.0011963242 0.00073049887 0.002466757 0.008458965 0.0010904549 0.02280427 0.0007410858 0.0068179895 0.0005611078 0.00048699923 0.0022232574 0.00045523842 0.0005505209 0.00046582535 0.0007940205 0.0006881511 0.00045523842 0.00034936902 0.0011010418 0.00057169475 0.00039171678 0.0005505209 0.00070932496 0.00039171678 0.00051876006 0.00062462944 0.002657322 0.00085754215 0.0009951723 0.0011010418 0.001228085 0.0011116287 0.0011645633 0.00085754215 0.002127975 0.0015245194 0.0013127805 0.0011433895 0.0010798678 0.0008998899 0.0010692809 0.0013339544 0.0026043872 0.00041289066 0.00045523842 0.00042347758 0.0006352164 0.0006034556 0.00078343356 0.0007516727 0.0021491488 0.0015351063 0.0011963242 0.0006775642 0.00083636824 0.00049758615 0.0005399339 0.0007516727 0.00736851 0.003154908 0.0013339544 0.0050182096 0.004033624 0.0017044974 0.0017362582 0.0030913865 0.0034407554 0.00245617 0.0013021936 0.0020326925 0.00927416 0.00084695517 0.0013763022 0.0015668671 0.0024455832 0.0014398239 0.001926823 0.0012174981 0.00091047684 0.00078343356 0.0008151944 0.0008151944 0.002085627 0.0011328026 0.0007622597 0.0016409757 0.0007940205 0.00083636824 0.00070932496 0.0009316507 0.0029219955 0.0011539764 0.0012704328 0.0008046074 0.0011010418 0.0003387821 0.00069873803 0.00049758615 0.00927416 0.0019056492 0.00083636824 0.00335606 0.0033137123 0.0005505209 0.0006140425 0.0006034556 0.0033348862 0.0011963242 0.0020432794 0.0014292368 0.001577454 0.0013445413 0.0019479969 0.0015668671 0.0034301686 0.0020009317 0.0010798678 0.0014186499 0.001228085 0.0014398239 0.00193741 0.018876513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02527258 0.00070291036 0.0011911916 0.00031657796 0.00040779533 0.00034877233 0.0022911658 0.0011804602 0.00033267515 6.438874e-05 0.00013950893 0.00015560612 4.2925825e-05 0.00012341175 0.00010731456 0.00028974933 0.096717246 0.002564818 0.0036325979 0.0010141226 0.003627232 0.0017545931 0.0059720553 0.004206731 0.0056125517 0.0005204756 0.00050974416 0.0005312071 0.0011160715 0.00060096156 0.00042389252 0.0030638308 0.014133328 0.0002092634 0.00094973383 0.0003809667 0.0005258414 0.00019316621 0.0026560354 0.0016097184 0.0006331559 5.902301e-05 3.7560098e-05 3.7560098e-05 0.00011268029 0.00039169815 2.682864e-05 2.1462913e-05 0.02764423 0.0006331559 0.001244849 0.00079949346 0.0015292325 0.0008424193 0.004893544 0.0026560354 0.001024854 0.00022536058 0.0007672991 0.00015024039 0.00013950893 0.00091753947 0.00018243476 0.0003058465 0.048913978 0.003058465 0.004045759 0.0045072115 0.003337483 0.002328726 0.014616244 0.0095241675 0.002012148 0.00055267 0.0014165522 0.0009282709 0.0013146034 0.0006492531 0.000788762 0.000906808 0.028556405 0.001776056 0.0018404447 0.00217312 0.0033052885 0.0020604397 0.004480383 0.0032516313 0.001244849 0.0005204756 0.00075656764 0.00079412776 0.0016311813 0.00048828125 0.00091217377 0.0011536315 0.025540866 0.001400455 0.0019209306 0.0021248283 0.0024414062 0.0012877748 0.0015721583 0.0016043527 0.0028170072 0.0013682606 0.005478408 0.001341432 0.0015721583 0.0012716776 0.0013253348 0.0018780048 0.00869248 0.00067608175 0.000788762 0.0023018974 0.00057949865 0.0006653503 0.000906808 0.00091753947 0.00060632726 0.00048291552 0.0020389766 0.0006385216 0.0010087569 0.0006921789 0.0004185268 0.00056340144 0.07782988 0.014385517 0.020448789 0.016124012 0.05919471 0.0122445915 0.007672991 0.015678657 0.051237337 0.003332117 0.0054945056 0.0062725362 0.03165243 0.008434924 0.017663976 0.025959393 0.026152559 0.0057466947 0.008933937 0.008601262 0.013044084 0.0058701066 0.0077856714 0.008510045 0.011745579 0.0021623883 0.0021945827 0.0026399381 0.009872939 0.0042496566 0.0058486434 0.008510045 0.0026882298 0.0021570227 0.0021033655 0.006111564 0.001776056 0.0014326493 0.0016204498 0.0015131353 0.0016848386 0.0012341174 0.0014165522 0.0012555803 0.0014863067 0.0014272836 0.0015667926 0.003493089 497.0 14.219316 7067.0 0.044148862 0.0016980331 0.0073581436 0.00056601106 0.014291779 0.0024055468 0.0016980331 0.0074996464 0.0026885525 0.0009905193 0.00070751377 0.0016980331 0.0014150275 0.0049525965 0.015423801 0.0077826516 0.018112354 0.010895712 0.0048110937 0.0073581436 0.004245083 0.0032545635 0.003537569 0.0019810386 0.00566011 0.0043865857 0.0038205746 0.0026885525 0.005518608 0.0031130607 0.008914674 0.0019810386 0.00410358 0.031555116 0.0016980331 0.0144332815 0.006933635 0.007075138 0.0060846186 0.005235602 0.015989812 0.005235602 0.0009905193 0.0016980331 0.006933635 0.003537569 0.0031130607 0.0033960661 0.006933635 0.0011320221 0.00410358 0.010895712 0.011037216 0.009339182 0.009480685 0.011744729 0.0026885525 0.0009905193 0.002830055 0.0015565304 0.005235602 0.003962077 0.005518608 0.010329701 0.0063676243 0.035517193 0.007924154 0.03438517 0.021083912 0.06834583 0.01231074 0.007641149 0.008490166 0.033677656 0.0014150275 0.0024055468 0.030847602 0.01386727 0.02716853 0.040611293 0.016555823 0.0016980331 0.048535448 0.031130606 0.06735531 0.022923447 0.007924154 0.00410358 0.00665063 0.009339182 0.0032545635 0.0014150275 0.0021225414 0.0012735248 0.00042450827 0.0018395359 5.7546587 0.0 13.0 0.0 4.0 94456.0 106496.0 1.0 2.0 75.0 1.0 1.0 1.0 0.0 0.0 1540932700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 41472.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36352.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 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 -5.394925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7603097 0.0 0.0 0.0 0.0 4.8148327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.823016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.378837 0.0 4.697935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35932.0 0.0 0.0 0.0 0.0 3240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41040.0 0.0 1832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 82880.0 60.0 82992.0 1832.0 98304.0 3240.0 94208.0 5368.0 89088.0 1552.0 102400.0 84.0 79040.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 79136.0 0.0 0.0 616.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.16721167 0.009976726 0.0066342326 0.00440107 0.0151101 0.0026428173 0.0031286026 0.003008969 0.010020229 0.007036637 0.00673574 0.0065399758 0.011785733 0.0047454704 0.0010912044 0.0037412723 0.011035303 0.0012543412 0.0017111244 0.0007395538 0.006971382 0.0065798536 0.0007576801 0.00055829063 0.006967757 0.00041328007 0.0005510401 0.001373975 0.0047962237 0.0018633856 0.0013776002 0.0022440383 0.007352035 0.001058577 0.001167335 0.001127457 0.056322098 0.0024579288 0.000590918 0.0010622023 0.0037013942 0.000398779 0.00060904433 0.0016603709 0.0031068511 0.00096794544 0.0007504296 0.0006271706 0.003146729 0.00048216007 0.003201108 0.0037412723 0.0030198446 0.00060179376 0.0004024043 0.00036615162 0.0026319416 0.00060904433 0.00044228218 0.0028893352 0.0028820846 0.0012180887 0.00052203797 0.0005292885 0.0033968722 0.0014972339 0.0007903075 0.0007685559 0.020573372 0.002048274 0.002693571 0.0007613054 0.002639192 0.00057641696 0.0004894106 0.00065617275 0.018220576 0.0038174028 0.0029038363 0.009440186 0.017299758 0.009918721 0.011104183 0.007294031 0.006710363 0.002914712 0.0068408726 0.00419443 0.0019068887 0.00061266957 0.000398779 0.0018126318 0.0033569941 0.0017401266 0.004564207 0.0025666868 0.0013558486 0.0002682695 0.00019576424 0.00030814743 0.008849269 0.0004277811 0.0007721812 0.00025376846 0.012978444 0.0003697769 0.0134823555 0.00052203797 0.0020555246 0.0005872927 0.00047490955 0.00037340217 0.0014392297 0.00039515374 0.00040602955 0.00035165058 0.007932077 0.0031938574 0.00065617275 0.00035165058 0.001580615 0.00044590744 0.00057641696 0.00039515374 0.0028929606 0.0010114486 0.00097519596 0.000536539 0.0016784971 0.0019286403 0.00032627373 0.010803286 0.0063115843 0.0061230706 0.0021824087 0.00039515374 0.0027697014 0.015849654 0.0012652171 0.045928467 0.0019068887 0.026790699 0.003766649 0.00046403377 0.041781165 0.0004024043 0.00035165058 0.00045678322 0.001196337 0.0006888001 0.00091719173 0.00035527584 0.00075405487 0.0004024043 0.00027552005 0.0002718948 0.0013449729 0.0002900211 0.0010912044 0.00021389055 0.00079393276 0.0037303963 0.00028639584 0.00036252636 0.0011927118 0.000659798 0.0002501432 0.00027914532 0.00082293485 0.00024651794 0.00050391164 0.0007794317 0.0008809391 0.00026101898 0.00051478745 0.00043503166 0.00095344434 0.00027552005 0.0002900211 0.00048578533 0.001073078 0.0003117727 0.00023564215 0.00031539795 0.0016168676 0.0012072128 0.00032627373 0.00038427796 0.0008700633 0.00038790322 0.00095344434 0.00041690533 0.006996759 0.0019431413 0.004687466 0.003628889 0.00714902 0.00060904433 0.011386953 0.007464418 0.0022512889 0.0008881896 0.00065254746 0.0011020802 0.0023310445 0.0011238317 0.0029618405 0.0020954025 0.0009389433 0.0008048086 0.00056554115 0.0008410612 0.0006815496 0.00079393276 0.0008700633 0.0018960129 0.001402977 0.0005292885 0.00027552005 0.00088456436 0.0006307959 0.00025739372 0.00026101898 0.00028277058 0.00087368855 0.0007178022 0.00033714954 0.00023564215 0.00074680435 0.00030089688 0.00026101898 0.00024289267 0.02833506 0.0017763792 0.00030089688 0.0018235077 0.0026101898 0.0005111622 0.00029727162 0.00025376846 0.0014972339 0.0028494573 0.00035165058 0.0017618781 0.0006742991 0.00030452217 0.0014392297 0.0006888001 0.0027552005 0.00068517483 0.00070330116 0.00052566326 0.0018525098 0.00082656014 0.001058577 0.02825168 0.0074626864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032321303 0.0001493995 4.008279e-05 1.2753615e-05 5.2836403e-05 2.3685285e-05 6.7411966e-05 3.8260845e-05 3.6438898e-06 5.465835e-06 5.465835e-06 1.093167e-05 1.2753615e-05 6.559002e-05 3.6438898e-06 7.2877797e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024250087 8.92753e-05 0.00013482393 5.101446e-05 0.00012207031 9.656308e-05 6.376807e-05 3.6438898e-05 0.00026600398 9.656308e-05 1.2753615e-05 3.6438898e-06 0.00010567281 4.9192513e-05 7.2877796e-05 0.00010567281 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035527926 0.0003516354 0.0005065007 0.00018401645 0.00065043435 0.0008763555 0.00040629372 0.00030973065 0.0016452163 0.0010366867 0.00010202892 8.92753e-05 0.00071055855 0.0001493995 0.00030062092 0.00032248427 0.16868842 0.03155609 0.054009736 0.016115103 0.04499111 0.051533714 0.02771725 0.014559162 0.084574685 0.03200975 0.007515523 0.0061964346 0.036912605 0.007273204 0.02584611 0.02856081 0.07754562 0.017007856 0.02828023 0.010308565 0.025585573 0.030832775 0.01510028 0.008227903 0.042061422 0.017862348 0.004345339 0.0037878235 0.019658785 0.0043489826 0.013506078 0.017361313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 908.0 5.715859 5190.0 0.035260115 0.0011560693 0.00038535646 0.007707129 0.13217726 0.00327553 0.00038535646 0.003468208 0.019460501 0.0 0.00057803467 0.002504817 0.012524085 0.00057803467 0.0013487476 0.0 0.010982659 0.00038535646 0.009055877 0.004816956 0.008863199 0.001734104 0.00019267823 0.001734104 0.010019268 0.001734104 0.0011560693 0.0019267823 0.0073217726 0.00038535646 0.0015414258 0.0044315993 0.0071290946 0.00096339115 0.002504817 0.0015414258 0.038535647 0.00057803467 0.005202312 0.00096339115 0.0063583814 0.0015414258 0.0019267823 0.0 0.048169557 0.00057803467 0.0036608863 0.0038535646 0.06223507 0.044123314 0.07630058 0.044123314 0.031984586 0.01753372 0.020038536 0.018882466 0.0040462427 0.0023121387 0.0007707129 0.014258189 0.005202312 0.018111754 0.027552987 0.021387283 0.0040462427 0.0011560693 0.00038535646 0.00096339115 0.03815029 0.0007707129 0.00038535646 0.00019267823 0.06512524 0.0007707129 0.028516378 0.00038535646 0.004238921 0.00038535646 0.0011560693 0.0007707129 0.0063583814 0.0 0.0011560693 0.00038535646 0.006743738 0.0026974953 0.0 0.00019267823 0.0019267823 0.00038535646 0.0 0.00019267823 0.011175337 0.00057803467 0.0007707129 0.00057803467 5.0393724 0.0 0.0 0.0 1.0 275842.0 2150400.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1446531500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 983040.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -983040.0 0.0 884736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.21017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -982531.0 0.0 882136.0 0.0 0.0 0.0 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 1992.0 1185744.0 480.0 1166944.0 882136.0 1265664.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 991600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4452.0 987136.0 0.0 0.0 0.0 0.0


Input: 0.71749455 0.0011486198 0.0011106841 0.0011614147 0.0010781358 0.0011661286 0.0010790337 0.0011142757 0.0011162959 0.0011068681 0.0010808294 0.0010987872 0.0011066436 0.0010927264 0.0010520971 0.001107766 0.0011219077 0.0010868901 0.0010707282 0.0010590557 0.001119214 0.0011070926 0.0010550153 0.001060178 0.0010621983 0.0010489546 0.0010898083 0.0010532194 0.0010375065 0.0010621983 0.0010648919 0.001052995 0.0011275194 0.0010972158 0.0010875636 0.0010992361 0.0010772379 0.0010942977 0.0011093373 0.0011165204 0.0011198875 0.0015331391 0.0010756666 0.0011439059 0.0010817273 0.0010779114 0.001092053 0.0010781358 0.0010987872 0.0010657898 0.0010534439 0.0011232545 0.0010907062 0.0010702793 0.0010850944 0.0010494035 0.0010651165 0.0010922775 0.0010722996 0.0010821762 0.00108487 0.0010608515 0.0010570355 0.0010350373 0.0012442445 0.001095869 0.0010556886 0.001088237 0.0011014808 0.0012202262 0.0013266256 0.001100134 0.001107766 0.0011052968 0.00110395 0.0010738708 0.0010817273 0.0011656795 0.0010815029 0.0010538929 0.0011558029 0.0010812784 0.0010859923 0.0011095618 0.0010976648 0.0011836373 0.0010711772 0.0011106841 0.001083523 0.0011124798 0.001264447 0.0010859923 0.0010772379 0.0010981137 0.0010846454 0.0010886859 0.0011014808 0.0010824007 0.0011026032 0.0010830741 0.0013284213 0.0011057458 0.0010880125 0.0010541173 0.0011326823 0.0011214587 0.0011441304 0.0010729729 0.0015627694 0.0011048479 0.0011171938 0.001119663 0.00108487 0.0010651165 0.0011194384 0.0010891348 0.0011874533 0.0011627615 0.0010655654 0.0010740953 0.0011043989 0.0015203443 0.001060627 0.0010718505 0.00107634 0.0011010319 0.0010891348 0.0010314457 0.0011167448 0.001115398 0.0010758911 0.0011683733 0.001111133 0.0011609657 0.0010399757 0.0010716261 0.0010720751 0.0011995748 0.0010868901 0.0013412161 0.0010913796 0.0011488443 0.001080605 0.0010731975 0.0010832986 0.0010749932 0.0010514237 0.0010729729 0.001080605 0.0010671366 0.001100134 0.0010666877 0.0010595047 0.0010613004 0.0010709527 0.001083523 0.0010978893 0.0010678101 0.0010936243 0.0010577089 0.0011241524 0.0011088883 0.0011097862 0.0015535661 0.0011079905 0.001083972 0.0010691569 0.0010637696 0.0015248337 0.0010927264 0.0011003584 0.0012574884 0.0011003584 0.0010314457 0.00110395 0.0010698304 0.0010799315 0.001084421 0.0010323436 0.0010929509 0.00110395 0.0010693814 0.0011046234 0.0010736464 0.0010954201 0.0010942977 0.001080605 0.00105726 0.0010700548 0.0010862168 0.0010523215 0.0010527705 0.0011243769 0.00107634 0.0010653409 0.0011158469 0.0010956445 0.0010671366 0.0010956445 0.0011165204 0.0011075415 0.0010507503 0.0010388533 0.0012884655 0.0011223566 0.0010855433 0.0010583823 0.0010821762 0.0010875636 0.0010992361 0.0010770134 0.0010642186 0.0010613004 0.001072524 0.0010956445 0.001068708 0.0010909307 0.001068708 0.0010559132 0.0010662389 0.0010783602 0.0010451385 0.0010592801 0.0010889104 0.0010832986 0.0010628718 0.0010550153 0.0010817273 0.0010907062 0.0010868901 0.0011104597 0.0014844289 0.0012220219 0.0010765644 0.0010880125 0.0012960974 0.0011219077 0.0010761155 0.0010740953 0.0011257237 0.0010925019 0.0010651165 0.0010691569 0.0010424448 0.0010824007 0.0010565865 0.0010978893 0.0010992361 0.0011032766 0.001060627 0.0010740953 0.0010662389 0.001107317 0.0010803805 0.0010855433 0.0015479543 0.0006884665 0.0 0.0 6.7364624e-07 0.0 0.0 5.6137185e-07 1.1227437e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004039632 1.3472925e-06 2.2454874e-06 7.1855598e-06 3.368231e-06 1.3472925e-06 8.420578e-06 3.4805055e-06 2.0209386e-06 1.1227437e-05 8.083754e-06 4.4909748e-07 2.0209386e-06 8.9819497e-07 1.5718413e-06 2.2454874e-06 0.00038094696 3.7050543e-06 4.3787004e-06 2.3577618e-06 1.49324915e-05 5.725993e-06 1.3023828e-05 1.1227437e-05 9.992419e-06 1.2350181e-06 5.6137185e-07 1.1227437e-06 3.368231e-06 1.4595669e-06 2.3577618e-06 3.4805055e-06 0.012616496 0.00019749062 0.00020186932 0.00019367329 0.00021365813 0.00019917474 0.00020018521 0.00020647257 0.00019749062 0.00018817185 0.00021579134 0.00019356102 0.00020332889 0.00020254297 0.00020254297 0.00020332889 0.17957702 0.0035264257 0.003626799 0.0035360814 0.0036457735 0.0036035583 0.003596485 0.0035550557 0.0035833488 0.003588289 0.0035352954 0.0035687531 0.0035632518 0.0035695392 0.0035396742 0.0035416952 0.47430342 0.011006257 0.011173658 0.0110657625 0.011143232 0.011123471 0.01115401 0.01114761 0.011122012 0.011129085 0.01109821 0.011158725 0.011040613 0.011070702 0.011060373 0.011039827 0.06340897 0.0018881181 0.0018699297 0.001857355 0.0018558954 0.0018572427 0.0018355737 0.0018551095 0.001874982 0.0018620705 0.00185612 0.0018306336 0.0018748698 0.0018505062 0.0018464644 0.0018615092 0.000571252 1.9872565e-05 2.2230326e-05 1.976029e-05 5.445307e-05 3.1436826e-05 2.1107582e-05 1.8637546e-05 1.897437e-05 2.0995309e-05 2.1781228e-05 1.8076174e-05 2.1219857e-05 2.077076e-05 1.953574e-05 1.9648016e-05 0.00013573971 4.827798e-06 5.950542e-06 3.5927799e-06 8.308303e-06 6.961011e-06 9.992419e-06 7.0732854e-06 3.255957e-06 4.041877e-06 1.2911553e-05 2.8068594e-06 6.961011e-06 4.9400724e-06 9.094224e-06 3.4805055e-06 0.00047200147 2.8180868e-05 0.00010632383 1.7065704e-05 0.00014831444 0.0001266455 0.0002984253 0.00016044007 5.2768955e-05 2.0097114e-05 0.0002593538 1.6279784e-05 0.00010598701 2.077076e-05 0.00018761048 4.9176175e-05 1.9086644e-06 1.9086644e-06 2.0658485e-05 2.0209386e-06 1.7627077e-05 1.695343e-05 3.6040074e-05 1.717798e-05 2.3577618e-06 0.0 5.5014443e-05 1.1227437e-07 1.773935e-05 2.2454874e-07 3.9969676e-05 2.2454874e-07 0.000434165 6.175091e-05 7.376426e-05 7.151878e-05 0.00024385993 0.0001748112 0.00010430289 0.00012080723 0.0003330058 3.1998195e-05 0.00012125632 6.7476896e-05 0.00012810506 6.2312276e-05 0.00018177221 0.00031841014 0.0008840484 0.00022443647 0.00049131265 0.0002457686 0.00040980146 0.00040912782 0.0005958401 0.0006243578 0.0005615964 0.00013383105 0.0008081509 0.00019008051 0.00038790796 0.00020871806 0.00065669284 0.00052634225 0.00017009568 0.000192326 0.0004162011 0.00016773792 0.00025003502 0.00023970578 0.00044965887 0.00017952672 0.00019749062 0.00020231842 0.00051466573 0.00018716138 0.0002409408 0.00016987113 0.00039419532 0.000166952 347.0 10.158502 3525.0 0.022978723 0.004822695 0.0034042553 0.0034042553 0.0045390073 0.005106383 0.003971631 0.0036879433 0.0056737587 0.02212766 0.004822695 0.0045390073 0.0036879433 0.0031205674 0.0068085105 0.004822695 0.0031205674 0.0022695037 0.005106383 0.0045390073 0.004255319 0.0025531915 0.0022695037 0.0031205674 0.0022695037 0.005390071 0.005106383 0.0022695037 0.0031205674 0.0022695037 0.0022695037 0.0022695037 0.0065248227 0.021843972 0.004822695 0.014468085 0.036595743 0.0076595745 0.016453901 0.02893617 0.0073758867 0.022411348 0.0034042553 0.005390071 0.0056737587 0.0068085105 0.019007092 0.0036879433 0.029503547 0.004822695 0.005106383 0.016170213 0.008510638 0.0056737587 0.006241135 0.014751773 0.016737588 0.004822695 0.015035461 0.003971631 0.0034042553 0.0034042553 0.004255319 0.0031205674 0.005957447 0.025815602 0.005106383 0.017021276 0.024397163 0.06297872 0.005390071 0.009361702 0.0073758867 0.023829788 0.008510638 0.004822695 0.030638298 0.013049645 0.029503547 0.028368793 0.008510638 0.0017021276 0.032056738 0.017588653 0.04 0.015035461 0.005106383 0.0034042553 0.009929078 0.02751773 0.0031205674 0.0045390073 0.0022695037 0.0017021276 0.004255319 0.004822695 6.0000668 0.0 0.0 0.0 5.0 4454912.0 11915264.0 0.0 0.0 76.0 0.0 1.0 0.0 0.0 0.0 1454457900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 5.0 10.0 5.0 1.0 28160.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 4340736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1027946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8287015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1336694 0.0 3.0158799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7521504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27796.0 0.0 4341872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 39660.0 4337776.0 7569408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 39176.0 0.0 0.0 320.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14356387 0.008698638 0.004219002 0.0034508856 0.0062902854 0.003979671 0.0020449692 0.0019760518 0.007945558 0.0015224495 0.0017154184 0.0015174374 0.004609952 0.0013833615 0.0012405145 0.0039207777 0.006212597 0.0015174374 0.0011966579 0.00090344535 0.0024910532 0.0019986066 0.00077438174 0.00083327485 0.0023269043 0.0007618513 0.00083828706 0.0007179947 0.0016314645 0.0006102329 0.0006002085 0.00057138846 0.0039232834 0.00059269025 0.00065910164 0.0005488337 0.0042002066 0.0013319867 0.00046989185 0.00056762935 0.0011966579 0.0006603547 0.0005901841 0.00095356716 0.0011177161 0.0023682548 0.00068416254 0.0005237728 0.005106158 0.0025474404 0.0026451778 0.010065709 0.0027867719 0.0017655402 0.0021564902 0.0014560382 0.0032817246 0.0018294456 0.0007230069 0.0014998948 0.0016865984 0.0009873994 0.0004711449 0.0005350502 0.011915204 0.0039759115 0.0049608047 0.00893421 0.0039157653 0.03295508 0.0033080385 0.0027416623 0.0034245716 0.0035912266 0.0022153833 0.0023832915 0.0027429152 0.004440791 0.0011741031 0.0015500166 0.0091697825 0.0021702738 0.0020813076 0.009875247 0.0032441332 0.0140065355 0.0032616758 0.002121405 0.0019497379 0.006593522 0.0027754945 0.0032992673 0.0015851018 0.0046939063 0.0024070994 0.0036488667 0.00583543 0.004411971 0.0016101627 0.0032240846 0.009203615 0.006137414 0.003846848 0.0015086661 0.0077162506 0.0042240145 0.003597492 0.0013307336 0.0033807151 0.0016991289 0.004320499 0.004021021 0.002957186 0.0016577784 0.004821717 0.0038343174 0.010174724 0.0055735437 0.001672815 0.0010550638 0.0026940466 0.0012793589 0.00053755625 0.0005977024 0.0016740679 0.0025499463 0.0010763656 0.00088590273 0.005310404 0.00117285 0.0011026795 0.009178554 0.0031614322 0.003267941 0.0010475456 0.00062652247 0.0026965525 0.015382379 0.002261746 0.0523873 0.0012116944 0.011140822 0.0008683601 0.0006891747 0.0026902873 0.00044984312 0.0007367904 0.00065408944 0.0011377648 0.000948555 0.0015312209 0.0005751476 0.0011891396 0.00059644936 0.00050623016 0.00072175387 0.0009686037 0.0004824223 0.0004711449 0.00042478222 0.00090845756 0.0033719437 0.00047239792 0.0025837787 0.0014422546 0.00082826265 0.00057138846 0.00045861444 0.0010600759 0.0004636266 0.0005162545 0.0004936997 0.00085833576 0.00045610833 0.0007518269 0.00066661986 0.001342011 0.0006941869 0.0017530099 0.0005438215 0.0008896619 0.00067915034 0.00072175387 0.0016001384 0.0031915053 0.002567489 0.0047114487 0.0008345279 0.0010137133 0.0004861814 0.000864601 0.00072425994 0.012153283 0.0011640787 0.00231688 0.010484227 0.0044144774 0.0010726064 0.0036037571 0.0034120413 0.0018946038 0.0017880951 0.0009961707 0.0013194563 0.001704141 0.0009046984 0.001004942 0.0009548202 0.0029120764 0.0011653318 0.003013573 0.0013708312 0.0018369638 0.0007781409 0.0016251992 0.00088715577 0.0034120413 0.00066286075 0.0011001735 0.0018106499 0.0015161843 0.0007280191 0.0005701354 0.00085332355 0.0024710046 0.00066661986 0.0008896619 0.001003689 0.0024647394 0.0024634863 0.000557605 0.0007029582 0.027970469 0.006104835 0.0011076917 0.0059770243 0.006618583 0.0010563169 0.0006891747 0.0007643574 0.007337831 0.0009899054 0.001840723 0.0009310124 0.009257495 0.0021990938 0.0041500847 0.0026276351 0.010199785 0.003093768 0.0031138165 0.003660144 0.015084155 0.004048588 0.00435809 0.06983846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017987327 0.0 0.0 0.0005240551 0.00024790628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074390713 0.0 0.0 0.0031280126 0.0022863864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006313765 0.0 0.0 0.0003759389 0.0002780316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055794604 3.7656653e-06 1.8200715e-05 6.778197e-05 0.00015062661 7.6568525e-05 6.2761087e-06 7.5313305e-06 1.5690272e-05 0.0 0.0 1.8828326e-06 8.1589415e-06 3.1380544e-06 5.020887e-06 0.00036275908 0.0061700423 0.00020836681 0.00021589814 0.00055731845 0.0019336691 0.0004939297 0.0024765525 0.0010776079 0.0001970698 0.00010167296 9.351402e-05 7.5940916e-05 0.00067970256 0.00038472546 0.0004054366 0.0029234113 0.013482964 0.00064894964 0.0009571066 0.0021062621 0.004178633 0.0036520676 0.0070499526 0.0032478862 0.00045941115 0.00023849212 0.00031443304 0.00033451658 0.0021075173 0.001117775 0.001135348 0.009097219 0.02102057 0.0013186104 0.001248318 0.002103124 0.007404553 0.0025920328 0.006771921 0.0032955846 0.002420695 0.0009866043 0.0009884872 0.0013518737 0.0041070855 0.0026817813 0.002706258 0.009696588 0.0204689 0.0015809517 0.0012665187 0.002295173 0.009542195 0.004093278 0.005957282 0.0034493492 0.0058825966 0.0014309528 0.0018006156 0.002333457 0.003910016 0.0017943395 0.004094533 0.009791357 0.074954934 0.009941984 0.0073731723 0.010209346 0.042597204 0.03099268 0.021575378 0.014130031 0.052129358 0.0053585414 0.0061323857 0.009259143 0.017001351 0.0071635502 0.02779061 0.061847914 0.061025742 0.010258927 0.009234666 0.011820423 0.02847847 0.030996446 0.017896324 0.014796554 0.05045552 0.0059604202 0.006565437 0.009267302 0.021368267 0.011077331 0.025403177 0.049148206 0.0002366093 4.8326037e-05 8.723791e-05 5.271931e-05 9.1631184e-05 0.00010041774 4.393276e-05 6.652675e-05 0.00013619156 2.949771e-05 3.3890985e-05 2.949771e-05 8.5355074e-05 6.0878254e-05 7.405808e-05 0.00010857668 5347.0 14.584627 77984.0 0.006001231 0.00014105458 0.00061551086 0.000102585145 0.0036930651 0.000628334 0.00014105458 0.00019234714 0.00043598688 0.00044881002 0.000807858 0.00064115715 0.0005513952 0.01570835 0.0012438449 0.00051292573 0.020914547 0.016554678 0.02182499 0.011617768 0.017157366 0.013566885 0.0177857 0.010258514 0.020606792 0.013656648 0.0009104432 0.0005642183 0.0010514978 0.00058986456 0.00012823143 0.00015387771 0.0015003077 0.009399364 0.008155519 0.01599046 0.007860587 0.017772876 0.005206196 0.0033853098 0.0054241894 0.019388592 0.0027056832 0.004398338 0.0075143618 0.007347661 0.0048856176 0.010155929 0.014220865 0.0028852073 0.0065910956 0.022555908 0.01440039 0.006898851 0.006501334 0.003846943 0.0030647311 0.005898646 0.0016798318 0.0032955478 0.0012823143 0.0030775543 0.0032057858 0.024453735 0.00028210916 0.033058062 0.012425626 0.02855714 0.026620844 0.057165574 0.0108740255 0.010386746 0.017939577 0.03725123 0.0064885104 0.0065910956 0.024389619 0.0121948095 0.039636336 0.036584426 0.017798522 0.0021799344 0.04079042 0.030429319 0.043585863 0.011412597 0.010078991 0.005539598 0.013182191 0.007360484 0.001154083 0.00032057858 0.0006026877 0.00028210916 0.00033340172 0.00034622487 5.7773414 0.0 2.0 14.0 4.0 798056.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5662227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23191677 0.012849287 0.0063605453 0.005963327 0.010351674 0.004063752 0.0042904634 0.0030842836 0.012077585 0.0022822688 0.0022715332 0.0020568206 0.007822486 0.001814953 0.0011455549 0.008635236 0.0068891174 0.0012099687 0.0011853399 0.0016261323 0.0038180954 0.0025291883 0.0009605232 0.00090116146 0.0035440212 0.0021692289 0.00068518583 0.0009857835 0.0024451977 0.0006813968 0.00065361045 0.00079127913 0.007056467 0.0007312859 0.0010508288 0.0008108559 0.009734691 0.0015017253 0.00057909254 0.0006289817 0.0018983121 0.0007963312 0.00057340896 0.0028998833 0.0027767392 0.00090179296 0.0010824042 0.00074202154 0.004525384 0.002256377 0.0021250234 0.0062651876 0.0025645527 0.0018181106 0.001965252 0.0018016915 0.0030280794 0.0032983646 0.0021446 0.0044464455 0.0026801187 0.0022399577 0.0018503175 0.002538661 0.003996181 0.002057452 0.0015850842 0.0018717888 0.0071095135 0.012225989 0.003902086 0.0017600119 0.0027041158 0.0017454872 0.0010729316 0.0008891628 0.0031051233 0.008635867 0.001771379 0.002541187 0.012937066 0.006320129 0.004678209 0.0056715705 0.002964297 0.004623268 0.006681983 0.0038856668 0.0016513926 0.003938082 0.00057782955 0.0020189302 0.0016318159 0.0033526744 0.0030249218 0.002720535 0.0014253128 0.0030148176 0.0010824042 0.0021104987 0.0037296845 0.005518114 0.0030280794 0.0010236739 0.005754298 0.0030969137 0.0047558844 0.0008380107 0.0031531178 0.0015105663 0.003079863 0.0033413072 0.0028638875 0.00052857195 0.0034164565 0.0036128554 0.011269255 0.010765943 0.0015566665 0.0013507949 0.0017947449 0.000990204 0.0005885652 0.0005329925 0.0022159605 0.002665594 0.0013817388 0.0012074427 0.0038124118 0.0020271398 0.0006081419 0.014443844 0.00425573 0.00830622 0.0027445324 0.0010805096 0.0023826784 0.010698372 0.0020757657 0.034552943 0.0013817388 0.012863812 0.0015648761 0.00065361045 0.0018440024 0.00051088975 0.00054814864 0.00084243127 0.0012358605 0.0008796902 0.0008215915 0.0005007856 0.0010003082 0.00076854485 0.0005052062 0.0004452129 0.0010786151 0.00061382545 0.00078496407 0.00063087617 0.0012042852 0.00110577 0.00044079236 0.0006725557 0.0011253468 0.0011859714 0.0004932075 0.00043258278 0.0013779497 0.00046415816 0.00041363752 0.0005266774 0.0010868247 0.0004761568 0.0004275307 0.0005828816 0.0013249031 0.0005020486 0.00041616356 0.0005569898 0.001069774 0.00068455434 0.0022715332 0.00097315334 0.0032175316 0.00091442314 0.0005449911 0.0007249708 0.0013514265 0.001186603 0.00115187 0.0008771642 0.008385159 0.0030489191 0.0028196818 0.0048417696 0.006327707 0.0008765327 0.0035269705 0.0037151598 0.0031764836 0.0021136561 0.0008386422 0.0012087057 0.012054219 0.00064413785 0.0023163701 0.0012118632 0.0020422959 0.0013230086 0.0014859376 0.0012668044 0.0015010937 0.0005342555 0.00062771863 0.00058603915 0.002833575 0.0011550275 0.0005525692 0.0013166935 0.0014701498 0.0008942149 0.0005342555 0.0006011953 0.0022791112 0.00081590796 0.0006820283 0.00062203506 0.0018642107 0.0013823704 0.00085632445 0.0007982257 0.01987544 0.00387872 0.0005222568 0.004246889 0.0045954813 0.00058793364 0.00053867605 0.000655505 0.0050931093 0.0016722324 0.0013444799 0.0021250234 0.0023416304 0.0006068789 0.0021142878 0.0019620943 0.004357403 0.0014897266 0.00094852457 0.0017379092 0.008052355 0.0028828327 0.005454332 0.047306873 0.035984907 3.9188915e-05 3.1603966e-05 7.9009915e-06 2.623129e-05 0.0 7.33212e-05 7.869387e-05 2.528317e-06 3.1603963e-07 0.0 0.0 0.0 0.0 0.0 1.2641585e-06 0.019092588 4.9934264e-05 6.7948524e-05 2.3702973e-05 4.8354064e-05 0.00014917071 0.00017603408 0.00015643962 0.00015075092 0.0 0.0 0.0 0.0 0.00014917071 3.1603963e-07 3.1603963e-07 0.018866302 7.363724e-05 0.00022027963 0.0001204111 0.00016370854 3.539644e-05 0.0006911787 0.00037608718 9.5127936e-05 9.4811895e-07 2.2122775e-05 1.2641585e-06 1.2641585e-06 2.5283172e-05 3.7924758e-06 1.5169903e-05 0.019167488 0.00015043488 0.0003947335 0.00023955805 0.00024840716 5.1830502e-05 0.0009588643 0.0005919422 0.00011282615 5.056634e-06 1.801426e-05 3.1603965e-06 3.7924758e-06 2.9707726e-05 2.8443567e-06 2.781149e-05 0.006440572 0.00013273665 0.00015169903 0.00011756675 0.000111561996 4.9934264e-05 0.00043076204 0.00022944478 4.8354064e-05 6.0047532e-06 7.2689118e-06 6.9528724e-06 6.9528724e-06 1.2325546e-05 6.320793e-06 8.53307e-06 0.0015274195 2.9707726e-05 3.1920004e-05 1.3273665e-05 2.4967132e-05 7.33212e-05 6.7948524e-05 4.1717234e-05 1.738218e-05 5.6887134e-06 9.481189e-06 3.6344558e-05 9.16515e-06 1.45378235e-05 8.217031e-06 3.0655847e-05 0.0052668005 0.00014759052 0.0001570717 0.00014284992 0.0004759557 0.0005619185 0.00011282615 7.5849515e-05 3.1920004e-05 0.00011409031 3.1603966e-05 2.3386934e-05 2.749545e-05 2.2122775e-05 4.1717234e-05 0.00053379097 0.014155416 0.00043234223 0.0005328428 0.00035333232 0.0011702948 0.0008254956 0.0004949181 0.00025093547 0.0001084016 0.0004408753 0.00018393507 0.0002932848 0.00032267647 0.00026104876 0.00023481746 0.0019458561 0.010056381 0.00060869235 0.001268267 0.0004775359 0.00072120246 0.0013340033 0.0026281858 0.0012534133 0.00010492516 0.00023576558 0.00047405946 0.00034005864 0.00026041668 0.000294865 0.00019720873 0.0017514917 0.007366884 0.0011149879 0.003228661 0.00089786865 0.0024126465 0.0017233642 0.009058013 0.004551603 0.00016118021 0.0001419018 0.000113458234 0.00011535447 0.000116934665 0.00016465665 0.0010110108 0.003420181 0.009540289 0.00052430975 0.0020435124 0.0012259178 0.0023649246 0.0014401927 0.0053603486 0.0028554182 0.00023734577 0.0002168032 0.00020226538 0.00022502022 0.00022407211 0.00034163886 0.00028127528 0.0007483819 0.014084939 0.0020283423 0.0023725096 0.018934883 0.0036812297 0.0025763551 0.004450154 0.0030333486 0.0029078808 0.0014803297 0.0013678196 0.0016712176 0.0019632382 0.001617807 0.0017473832 0.0021019797 0.023244716 0.0025163076 0.0024625808 0.0022195464 0.0060240314 0.0043196296 0.003172406 0.002679384 0.009807658 0.0014563106 0.0009591803 0.0019221532 0.0049621384 0.0020226538 0.0035655592 0.006982896 0.09704503 0.01477833 0.013537242 0.012462075 0.02714591 0.036951356 0.011559466 0.019270517 0.065873094 0.0056706993 0.0053530796 0.008376947 0.036248166 0.008135493 0.02576608 0.05066147 0.033781793 0.0076427865 0.006424138 0.0074108136 0.011622674 0.015918285 0.006432355 0.010464072 0.023111664 0.0025229445 0.0025871005 0.003938486 0.012290781 0.004878072 0.010619248 0.020290062 0.0013245222 0.0007844104 0.00081348605 0.0008801704 0.00074237713 0.0006921268 0.0007692405 0.0008220191 0.0007398488 0.00070192403 0.00067569275 0.000797368 0.00068770227 0.0007486979 0.0007360563 0.0010293411 7841.0 13.894018 108943.0 0.0522934 0.0012116428 0.0020010464 0.0011198517 0.010152098 0.010097023 0.0012575383 0.0019184344 0.005149482 0.0024232855 0.00096380676 0.0016889566 0.0045253024 0.00434172 0.0074259015 0.0038276897 0.018229716 0.01013374 0.010115381 0.009114858 0.01188695 0.008747694 0.009840008 0.0087017985 0.011896129 0.010142919 0.0128323985 0.008206126 0.010262247 0.008472321 0.0076003047 0.009482022 0.009133216 0.008738515 0.0021020167 0.009261724 0.010519262 0.008848664 0.0047914963 0.004185675 0.0057553034 0.0082244845 0.0014044042 0.0027445545 0.009408589 0.00402963 0.0054248553 0.0049658995 0.015485162 0.005397318 0.0090965 0.017532105 0.010555979 0.005002616 0.00982165 0.008554933 0.005645154 0.0025885096 0.0015788072 0.0029923904 0.0056818705 0.00320351 0.0028363457 0.007389185 0.0035890327 0.031465996 0.008536574 0.021231286 0.025609722 0.05501042 0.012474413 0.00837135 0.015999192 0.033035625 0.0034788835 0.004488586 0.024012556 0.01271307 0.03317331 0.035211075 0.019863598 0.0021662705 0.030621517 0.029602636 0.044408545 0.017633075 0.00661814 0.006480453 0.008040902 0.006397841 0.0022855988 0.0007710454 0.003690003 0.00075268716 0.00086283655 0.0024416437 6.0032134 0.0 53.0 16.0 4.0 1583512.0 1605632.0 0.0 0.0 464.0 1.0 1.0 1.0 0.0 0.0 1541131100.0 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 9.0 0.0 5.0 0.0 5.0 0.0 1058304.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -74240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 224256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1058304.0 0.0 36352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.788878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4236484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6810204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.598543 0.0 6.7008524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74094.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 224024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -197020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1058205.0 0.0 35932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 3.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 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 -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 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 3.0 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 1.0 0.0 -1.0 0.0 -2.0 -3.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -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 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 1278660.0 35932.0 1490944.0 0.0 0.0 15768.0 1567744.0 57816.0 1527808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1218888.0 0.0 0.0 1984.0 1064960.0 0.0 0.0 0.0 0.0