Input: 0.34762198 0.0036663925 0.010953491 0.0056309393 0.003700658 0.0028097588 0.0044659176 0.0052997074 0.0036663925 0.0019074379 0.0017018458 0.0016675805 0.0030153508 0.0024214182 0.0012449744 0.0014619883 0.0030267728 0.0013591923 0.00086805556 0.00087947736 0.0010964912 0.0012221308 0.0005368238 0.00045687135 0.0005139803 0.0004111842 0.00036549708 0.000262701 0.0006281981 0.00037691885 0.00025127924 0.0004111842 0.027263798 0.0003426535 0.00028554458 0.00019417032 0.00059393275 0.0019188597 0.00043402778 0.00039976242 0.0028326022 0.0018160637 0.00094800803 0.00023985746 0.0011536002 0.0026612757 0.00442023 0.0005139803 0.0018731725 0.0014391447 0.0013363487 0.0011193348 0.0014848319 0.0011421783 0.0008337902 0.00045687135 0.0011307566 0.00060535455 0.0012792398 0.000262701 0.00042260598 0.0013820358 0.00074241596 0.00031980994 0.003323739 0.0051055374 0.0041118423 0.0070586624 0.005790844 0.004054733 0.003757767 0.0015762062 0.003163834 0.002535636 0.0006738852 0.0015876279 0.007070084 0.0023871528 0.00147341 0.0040775766 0.0041803727 0.00046829312 0.0017361111 0.0068987575 0.0070929276 0.0017703765 0.0017246894 0.0034379568 0.00070815056 0.0011764438 0.0009251645 0.00044544955 0.00046829312 0.0007766813 0.00042260598 0.00057108916 0.00030838815 0.025299251 0.010964912 0.012666758 0.015076755 0.058365315 0.0067274305 0.012175621 0.015339456 0.031832512 0.0006396199 0.0051854895 0.018663194 0.0073670503 0.0324036 0.022306744 0.008817617 0.00021701389 0.024682475 0.017052723 0.03637838 0.009708516 0.0027754933 0.0033465826 0.0029925073 0.0026841192 0.0028326022 0.00017132676 0.00045687135 0.00021701389 0.0001370614 0.00015990497 0.0013591923 0.0002055921 0.00017132676 0.0006281981 0.00025127924 0.0005025585 0.00012563962 0.00011421784 0.00017132676 0.0007652595 0.00023985746 0.0022386697 0.00011421784 0.00045687135 0.00019417032 0.00012563962 0.00043402778 9.137427e-05 9.137427e-05 0.0001370614 0.00019417032 0.00011421784 0.00021701389 7.9952486e-05 0.00023985746 7.9952486e-05 0.0001370614 6.85307e-05 0.0014848319 6.85307e-05 0.0006281981 0.00010279605 0.0001370614 0.00028554458 0.00014848319 0.000262701 0.0002741228 0.00014848319 7.9952486e-05 9.137427e-05 0.00019417032 0.00011421784 4.5687135e-05 0.0001370614 0.00012563962 7.9952486e-05 0.00012563962 0.00011421784 0.00036549708 0.00012563962 0.0002055921 0.0001370614 0.0001370614 0.00015990497 0.00011421784 0.00010279605 0.0005368238 0.00014848319 0.00012563962 0.0008908991 0.00015990497 9.137427e-05 0.00021701389 0.00010279605 0.0014391447 0.00014848319 0.00021701389 0.0009822734 0.00028554458 0.00014848319 0.0002055921 0.00025127924 0.0003312317 0.00028554458 0.00019417032 0.00010279605 0.00015990497 0.00012563962 0.00025127924 0.00047971492 0.0003426535 0.00018274854 0.00022843567 0.00012563962 0.00023985746 0.0001370614 0.0002741228 0.00017132676 0.00037691885 0.00012563962 0.00011421784 0.0002055921 0.00015990497 6.85307e-05 0.00018274854 0.00058251095 0.00018274854 0.00015990497 0.00015990497 0.00015990497 0.0015647843 0.00010279605 0.00018274854 5.710892e-05 0.001370614 0.0003426535 9.137427e-05 0.00045687135 0.00019417032 0.00014848319 0.00015990497 6.85307e-05 0.0002055921 6.85307e-05 7.9952486e-05 0.00025127924 0.00023985746 0.00042260598 0.0010736476 0.00012563962 0.0005025585 0.00014848319 0.0003312317 0.00022843567 0.0022843566 0.00028554458 0.00031980994 0.0068302266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008911133 5.812872e-05 0.00044177828 0.0004127139 4.0690105e-05 0.00040108818 6.3941596e-05 5.812872e-05 0.00047084264 5.812872e-05 5.231585e-05 0.00040690103 5.231585e-05 0.00013950893 0.00016857329 0.00016857329 0.15279134 0.0011393229 0.018002465 0.0019880023 0.0069986978 0.004127139 0.0772647 0.031581335 0.00027901787 0.00011044457 6.975447e-05 0.00028483072 0.00013369606 0.00032552084 0.000726609 0.0017961775 0.14653088 0.0033714657 0.019234793 0.0052083335 0.019176666 0.00965518 0.099545434 0.039463587 6.975447e-05 0.00012788319 9.8818826e-05 9.3005954e-05 0.00012207031 0.00034295945 0.00097074965 0.001226516 0.040004186 0.0028541202 0.0040283203 0.004034133 0.016235352 0.008928572 0.06217448 0.024111792 0.0005347842 0.00055222283 0.0003313337 0.000453404 0.00038946242 0.000453404 0.0003778367 0.0012032645 0.013852074 0.0019124349 0.0009416853 0.00079636346 0.0050630113 0.0030168805 0.01297433 0.0065162294 0.00025576638 0.00026157923 0.00013950893 0.00023832775 0.00048246837 0.00046502976 0.00020345052 0.000499907 0.019112723 0.0010637556 0.0017147972 0.0008312407 0.005679176 0.003406343 0.019891648 0.008393787 0.0013137091 0.0023077102 0.0006510417 0.00080217636 0.0016101656 0.0006452288 0.00056966144 0.0034354073 0.005132766 0.000273205 0.00026157923 0.00045921688 0.0009765625 0.0004185268 0.000999814 0.00056966144 0.00050571986 6.975447e-05 0.00013369606 0.00012207031 0.0005347842 0.00019763765 0.0003952753 0.0008544922 0.00273205 0.00019763765 0.00034877233 0.00012207031 0.000819615 0.0006161644 0.0030226936 0.0014590309 0.00046502976 0.0004127139 0.00043015252 0.0005173456 0.0002673921 0.0002092634 0.00012788319 0.00015694754 0.0077892486 0.0018019903 0.0015345982 0.0020170666 0.002906436 0.0024588448 0.0012323288 0.0015229725 0.0038888115 0.00031389509 0.00046502976 0.0007207961 0.002086821 0.00079636346 0.0019182478 0.0042608352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1840.0 11.311413 20813.0 0.011194927 0.00019218758 0.00019218758 0.00024023447 9.609379e-05 0.00019218758 9.609379e-05 9.609379e-05 0.0007207034 0.0006726565 0.00086484407 0.00033632826 0.00033632826 0.001345313 0.011194927 0.0006726565 0.0017296881 0.0014894537 0.0012492193 0.0010089847 0.00052851584 0.0006726565 0.00019218758 0.00052851584 0.00038437516 0.00043242204 0.0010570317 0.00028828136 0.00048046894 0.0014414068 0.001345313 0.0005765627 9.609379e-05 0.011531254 0.010378129 0.02383126 0.01268438 0.010426176 0.007975784 0.0030750013 0.0113871135 0.004516408 0.0019218758 0.00139336 0.018498054 0.0043722675 0.002690626 0.0128285205 0.010570317 0.0011050786 0.004035939 0.016095709 0.018065631 0.0023062509 0.0024984386 0.010858598 0.0012492193 0.00038437516 0.00062460965 0.00024023447 0.00038437516 0.0017296881 0.0010570317 0.0010089847 0.00024023447 0.055638302 0.03296017 0.0255129 0.03185509 0.0950848 0.0047085956 0.020948445 0.029789073 0.0664969 0.00038437516 0.010041801 0.042617593 0.014414068 0.050689474 0.060827367 0.02070821 0.00033632826 0.039398454 0.02661798 0.074760966 0.014029693 0.00571758 0.0051410175 0.0084082065 0.0069667995 0.0034113294 4.8046895e-05 0.00043242204 0.0 9.609379e-05 4.8046895e-05 5.150284 0.0 0.0 0.0 1.0 87552.0 106496.0 0.0 0.0 4.0 1.0 1.0 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 -1.0 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 4096.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 80384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.314117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4809833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3223815 0.0 0.0 0.0 0.0 0.0 0.0 -4.2376566 4.7564983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1769.0 0.0 0.0 0.0 0.0 0.0 -160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3980.0 0.0 0.0 0.0 0.0 0.0 0.0 -702.0 80204.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 702.0 16384.0 512.0 24576.0 0.0 0.0 0.0 0.0 424.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.11971309 0.0035582795 0.003199084 0.0032552083 0.0033786818 0.0031766344 0.0034684807 0.0032215337 0.0031541847 0.0029521373 0.0032664333 0.0031654094 0.0040521733 0.0034235811 0.0028398887 0.003345007 0.0047481144 0.0042429958 0.0042878953 0.0032439835 0.0032439835 0.0045797415 0.0044899425 0.0030307113 0.004703215 0.0049164873 0.0048491377 0.0047481144 0.003199084 0.0032552083 0.0031541847 0.0026939656 0.004759339 0.00469199 0.00508486 0.0052869073 0.005567529 0.0048154634 0.004602191 0.0034348061 0.0044113686 0.004759339 0.0045685167 0.0046470906 0.0043552443 0.004770564 0.0051073097 0.00429912 0.0030980604 0.003591954 0.004467493 0.0034909304 0.0034011314 0.0045685167 0.0033674568 0.0029521373 0.0040858476 0.0043552443 0.0046470906 0.0033337823 0.0033225575 0.0032664333 0.0045572915 0.003041936 0.0034684807 0.0032327587 0.0033337823 0.0029970366 0.0033337823 0.0034572557 0.0039286995 0.0029072377 0.0033113325 0.0028398887 0.003446031 0.0033113325 0.0030643858 0.003277658 0.0033337823 0.0032215337 0.0031541847 0.0028511134 0.0045572915 0.0029184627 0.0032215337 0.0041082976 0.004074623 0.0041644215 0.0044899425 0.0044899425 0.0043440196 0.0026715158 0.0045572915 0.0043440196 0.0049613863 0.00469199 0.004433818 0.005096085 0.005028736 0.004433818 0.004467493 0.0047256644 0.0049613863 0.004445043 0.004445043 0.0049164873 0.0046470906 0.0032664333 0.00466954 0.0049613863 0.005488955 0.0050511854 0.003345007 0.0045460667 0.0032327587 0.0033225575 0.0043440196 0.0043889186 0.0033225575 0.0030531608 0.0029409123 0.0032664333 0.00351338 0.0027613146 0.0034011314 0.003591954 0.0045909663 0.004467493 0.0026041667 0.002884788 0.0024245689 0.0027949892 0.0027388649 0.002963362 0.0045685167 0.0027725396 0.002817439 0.0032327587 0.002963362 0.0027500899 0.002963362 0.0033113325 0.0030643858 0.0027837644 0.0028623384 0.0040297233 0.003210309 0.0028286637 0.0029521373 0.0033225575 0.0027613146 0.0025592672 0.003199084 0.0033899066 0.005006286 0.0028623384 0.0027500899 0.0026153915 0.0024694684 0.0024021193 0.0025480425 0.0033337823 0.0029970366 0.0027051903 0.0029858118 0.003131735 0.0033674568 0.0035358297 0.0033001078 0.0035470545 0.003041936 0.0027164153 0.002974587 0.0027949892 0.0029970366 0.0033113325 0.0026153915 0.0027500899 0.0028062142 0.0026378413 0.0028062142 0.0031654094 0.0028623384 0.002974587 0.002963362 0.0026041667 0.0029970366 0.0026153915 0.0026939656 0.0028398887 0.0032215337 0.0024357939 0.0026715158 0.002188847 0.0028735632 0.0025255927 0.003288883 0.00272764 0.0030194863 0.0028735632 0.0029858118 0.0026827406 0.0041531967 0.00233477 0.002974587 0.002884788 0.0029858118 0.0028286637 0.002896013 0.0028735632 0.0033899066 0.004927712 0.003210309 0.002896013 0.003041936 0.002974587 0.0026041667 0.0030868354 0.0029409123 0.002581717 0.0025480425 0.0038613505 0.0029521373 0.002817439 0.0030194863 0.0031654094 0.0027613146 0.0031541847 0.0031766344 0.0041756467 0.0030868354 0.0028735632 0.0030307113 0.002896013 0.0028735632 0.003446031 0.0034011314 0.0034123564 0.0044899425 0.0029858118 0.0025929417 0.0028511134 0.0026715158 0.0024470186 0.003277658 0.0030082616 0.002581717 0.0028062142 0.0028062142 0.002817439 0.0030307113 0.002514368 0.0029409123 0.0026153915 0.0029409123 0.0029521373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0056322673 0.010997684 0.020309092 0.007046012 0.0012888354 0.012428462 0.020604333 0.00584802 0.0011241824 0.001970158 2.2710756e-05 3.9743823e-05 0.0010390171 0.002157522 0.0024925054 2.2710756e-05 0.0022313318 0.011957213 0.01957667 0.007852244 0.0013172239 0.013416379 0.020326126 0.0061943587 0.0013229016 0.0025890262 3.9743823e-05 6.245458e-05 0.001260447 0.002571993 0.0022426872 6.245458e-05 0.118550144 0.010946584 0.0068359375 0.016414199 0.02080873 0.009515807 0.006256813 0.01722043 0.015375182 0.015965661 0.019735647 0.015380859 0.01547738 0.016005404 0.017379405 0.015341115 0.009538517 0.0016181413 0.0019360919 0.0015897529 0.0019190589 0.0018395712 0.0013001908 0.0016805959 0.0018622819 0.0014534884 0.0021631995 0.0014534884 0.0015500091 0.0014137445 0.0016805959 0.0018849927 0.030159883 0.028138626 0.027008766 0.026815725 0.027184775 0.026753271 0.026804369 0.027383493 0.028132949 0.027497048 0.02753679 0.028115915 0.026793014 0.027621957 0.028218115 0.027695768 1136.0 8.169014 9280.0 0.019719828 0.017133621 0.02036638 0.022198277 0.021228448 0.017349139 0.01950431 0.0011853449 0.019612068 0.020474138 0.019396551 0.01875 0.016594827 0.019181034 0.019935345 0.016702587 0.00075431034 0.0014008621 0.018965518 0.0012931034 0.0006465517 0.015840517 0.0010775862 0.0010775862 0.015948275 0.018318966 0.016056035 0.0012931034 0.00075431034 0.0014008621 0.017995689 0.0010775862 0.0010775862 0.0012931034 0.00075431034 0.0009698276 0.0016163794 0.0012931034 0.014870689 0.0015086207 0.0020474137 0.0011853449 0.0010775862 0.0016163794 0.0005387931 0.0015086207 0.00075431034 0.0012931034 0.0009698276 0.0015086207 0.015193965 0.0011853449 0.0012931034 0.015301724 0.0144396555 0.016163792 0.014331897 0.014331897 0.015517241 0.0006465517 0.011853448 0.013900862 0.016702587 0.0144396555 0.015086207 0.020150863 0.023275862 0.019073276 0.018642241 0.020043103 0.02036638 0.018426724 0.016918104 0.021443965 0.018211206 0.0018318966 0.017564654 0.02112069 0.023275862 0.02101293 0.00075431034 0.015948275 0.0014008621 0.0012931034 0.019181034 0.018426724 0.0016163794 0.00043103448 0.00086206896 0.00086206896 0.0011853449 0.0005387931 0.0016163794 0.0010775862 0.017456897 0.01648707 5.980163 0.0 0.0 0.0 5.0 89088.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1198376600.0 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 1.0 0.0 9.0 0.0 4.0 0.0 4.0 0.0 70656.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 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 -70656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9876337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8694367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.415295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70416.0 0.0 0.0 0.0 0.0 0.0 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 0.0 120.0 80376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2368.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.05665801 0.008303107 0.0061716894 0.005653069 0.0057555507 0.004958469 0.004195548 0.0054284367 0.005048529 0.005625119 0.0037556002 0.0044719386 0.0049553635 0.0031707287 0.0043208036 0.0046354956 0.005043353 0.0037804444 0.0049294843 0.0041582817 0.0043611755 0.0031738342 0.004105488 0.0038477306 0.0050671618 0.0033529187 0.0031593419 0.0029274635 0.004153106 0.0034460842 0.0037866554 0.0037876905 0.0061665135 0.003819781 0.0034833504 0.0030226992 0.0048963586 0.004161387 0.0038373787 0.0037131582 0.004735907 0.0038943132 0.0033373912 0.0030930908 0.0043746326 0.0037307562 0.0037204043 0.0035754805 0.005508145 0.003953318 0.0031034425 0.0029015841 0.0036779623 0.0030661763 0.0026904093 0.0028746699 0.004167598 0.0033218637 0.0035268276 0.0033539538 0.0040009357 0.0032224872 0.0035081943 0.0034543655 0.006599215 0.0039543533 0.0036137819 0.0032173113 0.004155176 0.0032255927 0.0035433902 0.0030682466 0.004995735 0.0037866554 0.0036976307 0.0035868674 0.0041251564 0.0031272515 0.003565129 0.0034626469 0.005164468 0.0036282742 0.003644837 0.0033311802 0.00393572 0.0033819035 0.003360165 0.0035351089 0.004656199 0.0036489777 0.0038032182 0.0035040537 0.004110664 0.003385009 0.003687279 0.0037918312 0.0059180725 0.0036303445 0.0033342857 0.0029574835 0.0040112874 0.0030506488 0.003270105 0.003027875 0.004970891 0.003166588 0.0031893617 0.0030527192 0.003572375 0.0028301575 0.003081704 0.0032007487 0.004511275 0.0032949492 0.0032245575 0.0031479548 0.0038912077 0.0033260044 0.0032980547 0.0036251687 0.0046158275 0.0032959844 0.0034781746 0.0031717638 0.004031991 0.0031976432 0.003469893 0.0033404967 0.008643677 0.004601335 0.004015428 0.0035382144 0.0043611755 0.0034326268 0.0030185585 0.00339122 0.00454026 0.0038311677 0.0029647297 0.003191432 0.0037245452 0.002797032 0.0028467202 0.0029750813 0.005231754 0.0032121355 0.0035102647 0.0030320159 0.003657259 0.00317901 0.0033042657 0.0032587182 0.004541295 0.0028446498 0.0030382269 0.0027017961 0.003517511 0.0032255927 0.002979222 0.0031469197 0.005005052 0.0034243455 0.0032669995 0.002803243 0.0037742334 0.003015453 0.0030475433 0.0031769397 0.004141719 0.0030071717 0.0031210405 0.0030144178 0.003643802 0.0028384388 0.002918147 0.0030299455 0.0046769027 0.0031086183 0.0038456602 0.002864318 0.003565129 0.0031469197 0.0029864681 0.0031168999 0.0042535174 0.0031469197 0.003336356 0.0031862562 0.0036562239 0.003191432 0.0033322154 0.0033477428 0.006714119 0.0040537296 0.0037266156 0.003336356 0.004116875 0.0032525072 0.0033042657 0.0032266278 0.0043321904 0.0033280747 0.0031200054 0.0030868798 0.003651048 0.002985433 0.0030796337 0.0027928913 0.004246271 0.0032711402 0.0030961963 0.0030061365 0.0037152285 0.003021664 0.0029409206 0.0029460965 0.0039791972 0.0031148295 0.0027266403 0.0026469321 0.0035330385 0.0029409206 0.0035806564 0.0028964083 0.0049543283 0.003232839 0.0033974312 0.0029740462 0.0038011477 0.0030703172 0.003196608 0.0029046896 0.004443989 0.005443964 0.0034667875 0.0031344977 0.0037918312 0.0030858447 0.0032535424 0.0031955729 0.004611687 0.0033228989 0.0034191697 0.0030382269 0.0037338617 0.0030868798 0.0033197934 0.0032421555 0.004348753 0.0030361565 0.003196608 0.0028684589 0.004016463 0.0030982667 0.004225568 0.004513345 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09918796 0.062032454 0.062438834 0.055331286 0.060597155 0.059548024 0.054940972 0.054484826 0.060469124 0.053155273 0.052133612 0.052971777 0.056427065 0.050578058 0.05665462 0.05384726 4027.0 5.703005 22966.0 0.017155796 0.010450231 0.009361665 0.008795611 0.013454672 0.012496734 0.011843595 0.011451711 0.012627362 0.009753549 0.008490813 0.008577898 0.013933641 0.010493773 0.01175651 0.009927719 0.01672037 0.011887138 0.008708525 0.0075328746 0.009797092 0.00844727 0.007881216 0.008360185 0.010406688 0.008403727 0.009622921 0.008882696 0.011582339 0.008969781 0.009666463 0.009143952 0.017983105 0.0109292 0.010319603 0.009100409 0.010842115 0.008839154 0.010667944 0.0082731 0.014194896 0.011582339 0.009753549 0.008926239 0.011451711 0.00944875 0.011712967 0.009535835 0.014760951 0.009622921 0.010014804 0.008969781 0.012017765 0.009405208 0.009579378 0.009797092 0.0137159275 0.00927458 0.010493773 0.009579378 0.01110337 0.009840634 0.010406688 0.010667944 0.017983105 0.010972742 0.009753549 0.008186014 0.013062788 0.0082295565 0.009361665 0.008316642 0.015414091 0.00927458 0.008882696 0.008708525 0.011321084 0.008011844 0.009927719 0.007924758 0.0132369585 0.007968301 0.008664983 0.008839154 0.011538796 0.009535835 0.0082295565 0.007924758 0.010885657 0.009056867 0.011887138 0.008534355 0.011277541 0.008969781 0.010014804 0.008708525 6.554715 0.0 0.0 0.0 14.0 966024.0 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: 0.23066244 0.02071152 0.008690309 0.007370733 0.0072562364 0.009957408 0.0070596836 0.007055867 0.010468827 0.009094864 0.0027536487 0.0032593429 0.0051409076 0.0048880605 0.0029731009 0.006560668 0.0078296745 0.0023452765 0.0007470918 0.0007308714 0.0016573415 0.008912624 0.0008682676 0.0009856268 0.0032793798 0.0037335507 0.0006717147 0.0007528166 0.000810065 0.0006011083 0.00064404466 0.0008386892 0.0063889227 0.0007327797 0.0019292715 0.000986581 0.0130717205 0.0007785784 0.0007451835 0.0011945835 0.0037440462 0.00058297964 0.00053813506 0.0010428752 0.00066980644 0.00072133 0.0017355811 0.00057343824 0.0053384146 0.00063641154 0.00086445105 0.005212468 0.0019292715 0.0006287784 0.00055244716 0.00060015416 0.003647678 0.0022345963 0.0010438294 0.0015600192 0.0007594956 0.0005600803 0.0005887045 0.0007089262 0.0145000685 0.0047621136 0.002301386 0.0027708232 0.0055836285 0.006657036 0.0020370893 0.0014006778 0.07054626 0.0075148083 0.00078907394 0.0010590956 0.007614993 0.0038461392 0.00075854146 0.0007547249 0.0045626983 0.00066980644 0.0011068026 0.0015437988 0.0020466307 0.002551371 0.0012441989 0.0024550029 0.002021823 0.0008358268 0.0006430905 0.0017012319 0.0038537723 0.0030227161 0.0011459223 0.0029292104 0.0030942766 0.0036782105 0.0012232078 0.0018853811 0.0030656524 0.005662822 0.0014712842 0.0011478306 0.0023471848 0.0030274868 0.00052382296 0.0006927058 0.0030131747 0.0013453377 0.0036925226 0.003308004 0.0047334894 0.0004532166 0.0031620206 0.002775594 0.0115479585 0.005266854 0.00089975423 0.0011869504 0.0027297952 0.0010705453 0.0006306867 0.0009989848 0.0016115428 0.0012327492 0.0005944293 0.0008673135 0.0024674067 0.0016344421 0.00061064976 0.009853406 0.0020542638 0.009912563 0.00059252104 0.0007718994 0.0032698384 0.014465719 0.0010810408 0.044406638 0.000632595 0.010562332 0.00051905226 0.0007881198 0.00532124 0.00044749177 0.00078716566 0.0019254549 0.00069652236 0.00055912614 0.0004961529 0.0005724841 0.0012432447 0.0005438599 0.00046657457 0.00045607903 0.000775716 0.00042459238 0.00046848285 0.0005992 0.0027536487 0.00081578986 0.00077953254 0.00086445105 0.00082246884 0.0007957529 0.0007165593 0.0008558638 0.00144266 0.00082056056 0.00074613764 0.00069843064 0.0007404128 0.00071560516 0.0007480459 0.00079193636 0.0018453072 0.00057820894 0.00060683314 0.0004961529 0.0005419516 0.0004179134 0.00040455544 0.00076331216 0.0014999084 0.00087876315 0.0014550638 0.0005123733 0.00052382296 0.00042745483 0.0004312714 0.0005056943 0.0075577446 0.0019006473 0.0009159746 0.0038556806 0.004098032 0.0005753465 0.0011621427 0.0042993557 0.0051189624 0.0031429378 0.00087113003 0.0027784563 0.023710385 0.00048088667 0.0015943683 0.0022107428 0.003117176 0.0006449988 0.0012709148 0.00067457714 0.00050474016 0.00048088667 0.0006421364 0.0008329644 0.002441645 0.0007261007 0.00056389684 0.0023405058 0.0008921211 0.0004341338 0.00051428156 0.0006039707 0.0028528792 0.0004408128 0.0004932905 0.00068698096 0.00045703317 0.000360665 0.00043508795 0.00054481404 0.0112588545 0.004622809 0.0010152052 0.0018252702 0.0032249938 0.00047039113 0.00040073888 0.0005390892 0.0035570348 0.0006898434 0.00077476184 0.0005314561 0.00042459238 0.00037211468 0.0014064027 0.001123023 0.0025733162 0.001251832 0.0013262549 0.0009999389 0.00085395545 0.0012575568 0.0026630054 0.03742138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00084899785 5.2554733e-06 6.211014e-06 5.2554733e-06 1.8155271e-05 4.2999327e-06 1.624419e-05 3.8221624e-06 4.2999327e-06 2.8666218e-06 1.4333109e-06 3.8221624e-06 6.688784e-06 6.688784e-06 3.8221624e-06 4.0610477e-05 0.009534384 0.0002947843 0.00034351685 3.3921693e-05 0.00024366286 5.064365e-05 7.0232236e-05 2.8666218e-05 4.34771e-05 0.00016721961 5.5421355e-05 5.6376895e-05 4.8254802e-05 2.9621759e-05 7.357663e-05 0.0006679229 0.042032797 0.0014118112 0.0022999863 0.00026611806 0.00076061033 0.00048445907 0.000611546 0.0005308028 0.0004342932 0.0014399997 0.00029191765 0.0003392169 0.00038030517 0.0003559389 0.0003425613 0.00085520884 0.01740135 0.00026516253 0.00035832773 9.603183e-05 0.0010682944 0.00037887186 0.0024122624 0.0011251491 0.00015575312 0.00028761773 0.00019206366 0.00023601853 0.00023362967 9.412075e-05 0.00016626407 0.000969396 0.02545608 0.00041518238 0.0010138286 0.00035355 0.0018914926 0.0012073256 0.009128279 0.004808758 0.00018537488 0.00016913068 0.0001141871 0.00013664231 0.00013473122 0.00012804245 0.00019015258 0.00065550086 0.060617108 0.0028737884 0.0016616851 0.0022522092 0.00575761 0.0032259051 0.0069219363 0.004515407 0.001472488 0.0011012605 0.0014958988 0.0009732181 0.0011495154 0.0009096747 0.0008193761 0.005035699 0.057537876 0.003756708 0.0021303778 0.0029530982 0.003767219 0.0040261704 0.007610403 0.0048197466 0.0014146778 0.0016382744 0.0019942133 0.00134779 0.0016984735 0.0010725943 0.0010945718 0.007834477 0.012356096 0.00083418697 0.0008585532 0.0008585532 0.0017462504 0.00085329777 0.0023969735 0.0014280555 0.001141871 0.0006172792 0.00056376896 0.00044814855 0.0032918374 0.00042999326 0.0011963368 0.0013114795 0.013439679 0.0010200395 0.0010329394 0.00092209666 0.0026306033 0.0011385266 0.0013712008 0.0011906036 0.002812156 0.0009593628 0.0050705764 0.0010061843 0.0038384066 0.0009908956 0.0019923022 0.0016803181 0.011892181 0.0017753944 0.0017328729 0.0014720103 0.010171252 0.0015670866 0.000958885 0.0017572392 0.008808173 0.00066887843 0.00047203706 0.0006727006 0.0059319963 0.0010080953 0.0026716916 0.0032340272 0.09055324 0.02234245 0.023423167 0.017140966 0.10326145 0.01895458 0.0074020955 0.019068768 0.085829526 0.008505267 0.0043486655 0.0064350883 0.04686592 0.011434955 0.020684587 0.03429722 0.0020462903 0.00043668205 0.00057236885 0.00052889175 0.0017357395 0.0004634372 0.00028284002 0.00050595874 0.0014485995 0.00022598535 0.0001801194 0.00022694089 0.00076156587 0.00022694089 0.00041613795 0.0007047112 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2884.0 11.698336 33738.0 0.006342996 0.0012152469 0.00023712135 0.00017784101 0.03319699 0.000118560674 2.9640169e-05 0.00017784101 0.0025194143 0.00091884524 0.00014820084 0.0005038829 0.00029640167 0.0058983937 0.005601992 0.00017784101 0.0077657243 0.0030529373 0.00177841 0.021548402 0.002637975 0.00091884524 0.0010374059 0.0010077658 0.007587883 0.0060169543 0.00080028456 0.0023415734 0.0012448871 0.00029640167 0.0006520837 0.0056909123 0.031062897 0.055516034 0.0018376905 0.010522259 0.011352184 0.010344419 0.0017487699 0.0013634478 0.042089038 0.008062126 0.00035568202 0.00062244356 0.025549825 0.0029343767 0.004090343 0.0014820084 0.01757662 0.0013634478 0.0032307783 0.006194795 0.010225859 0.010818661 0.018347263 0.016687416 0.006046594 0.0021044519 0.003675381 0.0018376905 0.008180686 0.0063133556 0.011115063 0.02483846 0.0010077658 0.041348036 0.005453791 0.021281641 0.019621791 0.058895014 0.01235995 0.014642243 0.006728318 0.039895665 0.0006817239 0.0019562512 0.027921038 0.013041674 0.03687237 0.032811668 0.014494042 0.00029640167 0.03696129 0.022200486 0.058302213 0.020273875 0.006728318 0.00530559 0.010107297 0.0056909123 0.0007410042 0.0004446025 0.0009781256 0.00053352304 0.00026676152 0.0027268955 5.5716515 0.0 0.0 0.0 3.0 1048064.0 1064960.0 1.0 2.0 253.0 1.0 1.0 0.0 1.0 0.0 1541205900.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 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 14.0 15.0 6.0 2.0 6.0 2.0 631808.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 331776.0 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 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -631808.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.450117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.601129 0.0 0.0 0.0 0.0 5.9961414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6862385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2285995 0.0 3.3876247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 331516.0 0.0 0.0 0.0 0.0 30612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -631750.0 0.0 1336.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 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 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 3.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 -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 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -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 -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 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -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 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 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 957360.0 620.0 957528.0 1336.0 1048576.0 30612.0 1015808.0 0.0 0.0 9412.0 1052672.0 84.0 787488.0 0.0 0.0 0.0 0.0 40.0 787848.0 264.0 787584.0 0.0 0.0 2264.0 638976.0 0.0 0.0 0.0 0.0


Input: 0.17092043 0.014697099 0.0181314 0.005951365 0.008079139 0.005322099 0.003962244 0.002879693 0.013763865 0.0020637799 0.002581058 0.0011358788 0.010137585 0.002335751 0.0009865614 0.0062393346 0.024221417 0.0010292236 0.0015091724 0.0009652304 0.0062819966 0.0029490187 0.0014398465 0.00074658706 0.0019997866 0.0007359215 0.000725256 0.0008425768 0.0014985069 0.0009918942 0.00065593 0.0010345563 0.0071459045 0.0005599403 0.0009865614 0.0007625853 0.0018184728 0.0022077644 0.00057593855 0.00053327647 0.0019037969 0.00054927473 0.00086390786 0.001199872 0.0013065273 0.0012052048 0.0014238481 0.0012105375 0.0040209047 0.0021437714 0.0020851109 0.0050767916 0.0026770479 0.0021117746 0.0018984642 0.0017544795 0.003690273 0.0026343856 0.0034023037 0.0055674063 0.0029490187 0.003146331 0.0021117746 0.0016798208 0.003487628 0.0023517492 0.0013278583 0.0024744028 0.002965017 0.016190274 0.002511732 0.0016744881 0.0022290957 0.001583831 0.00063459895 0.00061326794 0.0016158277 0.00615401 0.0017171502 0.00077858364 0.0150330635 0.00509279 0.0026663824 0.003258319 0.0017704779 0.0038555888 0.002901024 0.0024797355 0.0020264506 0.0035462885 0.0010292236 0.0016211604 0.0012212031 0.0026983789 0.0020851109 0.0021384386 0.0013331912 0.0052367747 0.0016211604 0.003188993 0.004036903 0.008852389 0.002559727 0.0018504693 0.010468217 0.0046768347 0.005754053 0.0009598976 0.0044048633 0.0030610068 0.004554181 0.005204778 0.0032209898 0.00048528158 0.005759386 0.0048794793 0.013843857 0.011214804 0.0013171928 0.0011358788 0.0014451792 0.0017011518 0.00079991465 0.00043195393 0.0013758532 0.0044955206 0.00080524746 0.0009758959 0.0032049916 0.0034183022 0.0007519198 0.02424808 0.0030930035 0.019043302 0.00070925767 0.0004052901 0.0030290103 0.008639079 0.0018611348 0.02970883 0.0011358788 0.013209257 0.0005546075 0.00061326794 0.0016638226 0.00079991465 0.00050127984 0.00050661265 0.0020051193 0.0014238481 0.0004959471 0.00042662115 0.0006879266 0.00037329353 0.00034129692 0.00033596417 0.00079991465 0.0008425768 0.0002986348 0.00033596417 0.0024637373 0.0020424488 0.00028263652 0.000927901 0.0012052048 0.0005546075 0.00047461604 0.0004052901 0.0018291383 0.00048528158 0.00037329353 0.0009385666 0.0010985495 0.0002986348 0.00037329353 0.0004799488 0.0016051622 0.00034129692 0.0002986348 0.000362628 0.00083724404 0.00090656994 0.0013491894 0.00069859216 0.00262372 0.0009972269 0.0005706058 0.00039462457 0.000927901 0.0026770479 0.0014078498 0.0007945819 0.009231015 0.0025970563 0.0011465444 0.003444966 0.014067832 0.00077858364 0.0019731228 0.0049754693 0.0021651024 0.0012318686 0.00036796075 0.0009385666 0.0089857085 0.0017758106 0.00041062286 0.0005546075 0.0021864334 0.0010398891 0.0008425768 0.00045328497 0.0018024744 0.00048528158 0.00084790954 0.0011358788 0.0018291383 0.00050661265 0.0004959471 0.00084790954 0.0022237627 0.00044261946 0.00039462457 0.00045328497 0.0023944112 0.0020904436 0.00074658706 0.0006932594 0.002559727 0.0016798208 0.0016051622 0.00051727815 0.02205098 0.0037009385 0.0008532423 0.0053540957 0.0041968855 0.0006772611 0.00077858364 0.0009385666 0.0029596842 0.0010985495 0.0004692833 0.0015251706 0.0055300766 0.0007732509 0.0017864761 0.0014451792 0.005434087 0.0019357936 0.0010238908 0.0024050768 0.003690273 0.004964804 0.007065913 0.06853136 0.016483517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004890861 0.00019316621 0.00014755753 2.682864e-06 4.560869e-05 4.2925825e-05 5.6340145e-05 3.4877234e-05 1.6097185e-05 5.365728e-06 8.0485925e-06 2.682864e-06 5.365728e-06 5.365728e-06 5.365728e-06 3.219437e-05 0.004504529 8.8534514e-05 0.00011268029 0.00023340917 4.2925825e-05 8.316879e-05 0.00021462912 0.00010194883 5.0974417e-05 2.682864e-06 2.1462913e-05 5.365728e-06 2.682864e-06 1.0731456e-05 8.0485925e-06 1.0731456e-05 0.0042738025 8.048592e-05 3.4877234e-05 4.024296e-05 0.00016902044 9.390024e-05 0.00038633242 0.00022267771 2.4145776e-05 7.5120195e-05 1.8780049e-05 2.1462913e-05 1.0731456e-05 1.341432e-05 1.341432e-05 1.6097185e-05 0.011987036 0.0011187543 0.00035145518 0.0001421918 0.00027096926 0.00019853194 0.0007082761 0.00084778504 0.00011536315 5.6340145e-05 0.00016902044 6.438874e-05 4.2925825e-05 0.00010194883 0.00015024039 0.00015828898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018224696 0.0006492531 0.0024736007 0.0025540865 0.001419235 0.0009631482 0.01103462 0.005226219 0.00042925825 0.00015560612 0.0001421918 0.00016097185 0.00016633757 0.00012341175 0.00010731456 0.00012609462 0.011866308 0.00024414062 0.0042550224 0.0019692222 0.0030477336 0.0017116673 0.017304473 0.008646871 4.024296e-05 9.6583106e-05 4.560869e-05 4.024296e-05 7.243733e-05 3.7560098e-05 3.7560098e-05 3.4877234e-05 0.004971347 0.00017438616 0.0008638822 0.000611693 0.0012341174 0.00071095896 0.0038633242 0.0017680074 0.00021731199 0.000729739 5.902301e-05 7.5120195e-05 0.00010194883 0.00011804602 6.975447e-05 0.0009148566 0.0135135865 0.0018216646 0.0022187287 0.017832996 0.0025970123 0.0019477593 0.0030530991 0.002427992 0.0018780048 0.001853859 0.0014326493 0.0015802069 0.0017626417 0.0016445956 0.0016338641 0.0032408996 0.013057499 0.0020953168 0.0011160715 0.0033294342 0.0023984804 0.0028679816 0.0027150584 0.0020201965 0.0081881005 0.0007538848 0.0007055932 0.0010570484 0.0023770174 0.00088266225 0.0026560354 0.008724674 0.12598729 0.028180804 0.0076407967 0.011895819 0.026563037 0.031131955 0.020939754 0.020497082 0.07858109 0.006251073 0.008292733 0.010071471 0.03694572 0.008501996 0.033774573 0.07221733 0.038429346 0.01293677 0.0047996435 0.008311513 0.010586581 0.01379797 0.0074503133 0.012137277 0.024588449 0.0017250816 0.003273094 0.0036621094 0.013371394 0.0044481885 0.01257995 0.02570452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1408.0 13.120739 18474.0 0.040705856 0.0008660821 0.002977157 0.001299123 0.0014615135 0.010771896 0.001299123 0.0010826025 0.0024358558 0.0018404244 0.002111075 0.0010826025 0.0038973694 0.006658006 0.007199307 0.007632348 0.014073834 0.009635163 0.010771896 0.0077947387 0.00849843 0.006712136 0.007091047 0.0061167045 0.00839017 0.007415828 0.02100249 0.0080653895 0.008714951 0.010014074 0.008769081 0.0053588827 0.0015156436 0.008931471 0.0026523764 0.008173649 0.010555375 0.007578218 0.007957129 0.0056836633 0.004546931 0.0068745264 0.001299123 0.0014615135 0.005034102 0.007686478 0.0077947387 0.0022734655 0.011367327 0.0014073834 0.003789109 0.009743423 0.0072534373 0.0027606366 0.002923027 0.00422215 0.007307567 0.0010284724 0.004979972 0.00422215 0.0016239039 0.0010826025 0.00422215 0.008606691 0.0014615135 0.041571938 0.011421457 0.021868572 0.027281584 0.073833495 0.010717765 0.012828841 0.011259067 0.039298475 0.0035184585 0.004601061 0.030367002 0.024196168 0.035834145 0.04178846 0.017592292 0.0016239039 0.04205911 0.038811304 0.04963733 0.015697738 0.0060084444 0.004979972 0.005304753 0.009581033 0.0028688968 0.0005954314 0.0017862943 0.0005954314 0.00097434234 0.0017321642 5.8041935 2.0 12.0 0.0 3.0 187520.0 1392640.0 0.0 16.0 137.0 1.0 1.0 1.0 0.0 0.0 1415229700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 141312.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141312.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.106491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.360528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2280548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.395684 0.0 4.1389003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22991.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1201512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141309.0 0.0 1296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 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 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -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 -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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 399.0 170048.0 100.0 166836.0 1296.0 1376256.0 0.0 0.0 3712.0 183808.0 7520.0 1380352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 165416.0 0.0 0.0 564.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.13957408 0.015921796 0.016126512 0.009213462 0.010902803 0.005332942 0.0052661067 0.0057732817 0.013242864 0.0036770988 0.003821613 0.0037392415 0.007742913 0.0028336414 0.0024672586 0.005591061 0.0081063835 0.00316426 0.002766482 0.0021665785 0.0051580044 0.0027271574 0.0023057524 0.0022976608 0.0037881143 0.0016849729 0.0017194427 0.0015475793 0.0027655112 0.0016702464 0.0023227446 0.001606809 0.0063014943 0.0018010049 0.0018781978 0.0020746593 0.0045365775 0.0018794924 0.0018917915 0.002015106 0.0018862892 0.0013260342 0.0012210065 0.0036088068 0.0020392186 0.001941635 0.0038096376 0.0019874328 0.004810879 0.0036029809 0.0037460383 0.0094181765 0.0044480567 0.0037759768 0.0034649398 0.0030173184 0.0033995607 0.0037981477 0.0030792993 0.0035547554 0.0036987842 0.0027653493 0.0030770337 0.0029757281 0.0048346682 0.0027396183 0.0062561817 0.005733957 0.003948488 0.012228029 0.0033366089 0.0025389493 0.0035342032 0.0026688986 0.0018424334 0.0024196806 0.002715182 0.005141174 0.0022533194 0.0019537723 0.008121434 0.0036314628 0.004279753 0.009049204 0.0042360593 0.009255537 0.005185677 0.003587445 0.002467744 0.004752782 0.0022453899 0.0034129925 0.0029983842 0.005831055 0.0029883508 0.0035392197 0.0018306198 0.0064772414 0.0019429297 0.0053737233 0.006222198 0.012563016 0.0038646597 0.0025171023 0.00713508 0.006565115 0.0051355097 0.0013980485 0.0064220577 0.0035089576 0.00676983 0.006500707 0.004288654 0.0012808836 0.0071320054 0.0070195333 0.014593335 0.007766702 0.0019073271 0.0013485285 0.002395568 0.0030135964 0.0008920064 0.0010247069 0.0017898387 0.0026036813 0.0012991704 0.0011931718 0.0040983423 0.0025031848 0.0011514197 0.012027845 0.0036201347 0.0062277 0.0014326801 0.0014783161 0.0030237916 0.008908898 0.0015338238 0.03585584 0.0011714866 0.0056860554 0.00084604666 0.0012201974 0.007976595 0.00075558375 0.0008039709 0.001830458 0.0011608058 0.0010137025 0.00078180025 0.00069894333 0.0012219775 0.00080105796 0.0007570402 0.00066382624 0.0011145225 0.00058372045 0.00062013214 0.000658324 0.0012894606 0.0014438463 0.00062061765 0.00068017107 0.0011036799 0.00076626457 0.000558475 0.0005207686 0.0010457447 0.00062272145 0.00062838546 0.00052319607 0.001078758 0.0005532964 0.00056705193 0.00065573474 0.0017325509 0.0007178774 0.0012114586 0.0009135298 0.0013868822 0.00067547796 0.0012682609 0.0010243832 0.0035838848 0.0012315254 0.0013876914 0.0009436301 0.0016603747 0.0006474814 0.0009274471 0.00075930584 0.008043755 0.0025415386 0.0015681317 0.006950432 0.0060263835 0.00059893244 0.0027525646 0.0027125927 0.0018629858 0.0017102184 0.0009195175 0.0007784018 0.0012964193 0.000729691 0.0008889316 0.00071642094 0.0020440733 0.00086255337 0.0023842398 0.0012004542 0.0014266924 0.0005787037 0.0011756942 0.00074409385 0.0028344507 0.00086368615 0.001250136 0.0019104019 0.001502105 0.00075348 0.000918061 0.00093683327 0.0021188387 0.0009803656 0.00095803296 0.0010349022 0.0017103802 0.0012198738 0.0010538363 0.0008797073 0.015941054 0.003224137 0.0011417099 0.004358241 0.0043580793 0.0014111567 0.0008970231 0.0009412027 0.004390445 0.00097033207 0.0012546672 0.0011103149 0.0039726 0.00083666056 0.002198459 0.0012784562 0.004874478 0.0013554872 0.0016786614 0.0015289688 0.006078169 0.0022455517 0.0032391872 0.030959353 0.003445082 3.4802077e-05 9.712207e-07 0.0 0.00016575502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00092840614 6.118691e-05 1.6996364e-06 2.4280519e-07 2.4280519e-07 2.4280519e-07 2.4280519e-07 4.0467532e-07 2.4280519e-07 4.0467532e-07 2.4280519e-07 2.4280519e-07 2.4280519e-07 1.6187013e-07 1.6187013e-07 1.6187013e-07 0.0010144401 0.00012383064 3.0755325e-06 3.965818e-06 0.00014673527 2.508987e-06 9.712207e-07 5.6654545e-07 1.2221195e-05 7.284156e-07 4.0467532e-07 1.0602494e-05 7.284156e-07 7.284156e-07 8.0935064e-07 3.723013e-06 0.0012218767 0.00040734618 2.1852468e-06 3.8767896e-05 0.00012844395 6.4748053e-07 1.2949611e-06 1.3758961e-06 6.9604157e-06 2.1043118e-06 7.284156e-07 7.284156e-07 3.884883e-06 7.284156e-07 2.3471168e-06 3.884883e-06 0.0020259665 0.0013718493 7.955917e-05 2.0800311e-05 1.804852e-05 1.0683429e-05 2.0071897e-05 5.5845194e-06 4.1115014e-05 1.0035948e-05 6.636675e-06 2.3471168e-06 1.2706805e-05 3.3183376e-06 8.093507e-06 9.793143e-06 0.0009843323 0.000417544 0.00011881268 2.6951377e-05 1.9748157e-05 9.955013e-06 0.00014341694 3.803948e-05 2.33093e-05 1.230213e-05 5.1798443e-06 1.2140259e-06 8.821922e-06 1.4568312e-06 1.7805714e-06 1.0440624e-05 0.0032535896 0.0009224979 0.00067435094 0.00011759865 7.494587e-05 8.3201245e-05 0.0006823635 0.00041519688 7.4541196e-05 5.0422546e-05 3.6825455e-05 3.4235534e-05 5.4226493e-05 4.2248103e-05 3.528769e-05 7.866888e-05 0.005078675 0.0003612132 0.0011220028 0.0010611396 0.00068382034 0.0003305388 0.003777806 0.0017111292 0.00016057517 4.791356e-05 3.4397402e-05 4.491896e-05 4.0305662e-05 3.852509e-05 4.1924362e-05 0.00021731065 0.0074468353 0.00067807396 0.0017583143 0.002319518 0.0017347622 0.0013333242 0.0073293177 0.0044103945 0.00052437827 0.000105377454 0.00010035948 0.00012836301 0.0001915733 0.00013702306 0.00015142951 0.000492328 0.010266451 0.0007230739 0.0018539795 0.001562937 0.0024414062 0.0020075943 0.007564677 0.0038472484 0.0002497656 0.00016235575 0.00014916333 0.00016494567 0.0001449547 0.00014568312 0.00012909142 0.00041163573 0.026287062 0.0016100412 0.002304707 0.001776201 0.0064071435 0.0045832717 0.013588188 0.006919948 0.001154134 0.0008159064 0.0004468425 0.0006133259 0.0005339286 0.00045153673 0.00059398246 0.0018623968 0.045673035 0.0051324163 0.0063234568 0.02771856 0.011541826 0.009063756 0.019338949 0.011292869 0.004451267 0.0035834 0.00238548 0.003175973 0.002961414 0.002623591 0.00288145 0.0054527572 0.03299666 0.008063237 0.0074416557 0.007112412 0.006283313 0.006386586 0.007929532 0.0055332067 0.004873424 0.0018830352 0.0011558337 0.002663654 0.0025419276 0.0016020287 0.0027927454 0.005995184 0.06266616 0.0143675115 0.008563658 0.01048878 0.015506997 0.024752613 0.010468627 0.012038767 0.037970442 0.0054186834 0.0023562626 0.0050399886 0.015090424 0.0057083503 0.015426062 0.023322815 0.044845633 0.008810996 0.0071212337 0.0076436694 0.016138695 0.024263442 0.010547377 0.010582341 0.038541358 0.0066178986 0.0032722857 0.0055409763 0.015866106 0.007962149 0.017473476 0.027383003 0.0030332035 0.0027182042 0.0028337794 0.0026955423 0.0028624304 0.0027675745 0.002848024 0.0027601286 0.002720875 0.0027336627 0.0027067114 0.0026508663 0.0026516756 0.0026702906 0.0026967563 0.0027411089 74325.0 12.7281 946016.0 0.016922547 0.002340341 0.0032229898 0.0036595576 0.003095085 0.0032219328 0.0042472854 0.0033942345 0.0025665527 0.002029564 0.0017600125 0.008896256 0.0030665444 0.006069665 0.019253375 0.0035401091 0.011720732 0.010899393 0.010922648 0.01015522 0.009070671 0.011874006 0.009508296 0.008294785 0.007794794 0.007999864 0.007975552 0.0048181005 0.008884627 0.006340273 0.0077768243 0.0046383995 0.002734626 0.009051644 0.0057546594 0.015343293 0.009560092 0.009580176 0.007413194 0.004590831 0.008554824 0.009366649 0.0009207032 0.0021426699 0.0058497954 0.004273712 0.0045157797 0.0054438827 0.008357152 0.0013614992 0.006369871 0.015199532 0.014354937 0.003012634 0.0044893534 0.004142636 0.0025929795 0.0047567906 0.0011194313 0.0037092397 0.01191946 0.01106958 0.0046690544 0.013057918 0.0021416128 0.0339212 0.0069153165 0.02810629 0.020433059 0.06726736 0.008355038 0.010115051 0.010968102 0.035859857 0.00414475 0.004529522 0.027745832 0.017585326 0.038479265 0.036376763 0.018626535 0.0035411664 0.03885875 0.037326008 0.05500964 0.015580075 0.0052620675 0.003633131 0.007344485 0.014160437 0.0014830616 0.00054016 0.0019566265 0.0013065318 0.0005507306 0.0006374099 5.9375606 20.0 47.0 0.0 64.0 6179328.0 7360512.0 0.0 127.0 602.0 1.0 1.0 0.0 1.0 0.0 1538223900.0 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 -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 5.0 0.0 4202496.0 1536.0 4096.0 9.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 0.0 0.0 -291328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -534528.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 -4198912.0 -15872.0 1131008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.051875964 0.0 0.0 -10.933797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17014565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1026444 0.0 0.0 0.0 0.0 0.0 5.3373847 0.0 0.0 -6.6122246 -5.1283455 7.239883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -294912.0 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 -1691648.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 -4202496.0 -16384.0 1130608.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 2.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 -2.0 2.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 -1.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 2.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -3.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 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 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 2.0 1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 0.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 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 1.0 1.0 1.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 1.0 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 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 -2.0 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 -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 1.0 0.0 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 1.0 -1.0 1.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 -1.0 2.0 -3.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -2.0 1.0 0.0 -3.0 2.0 1.0 1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 3.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 4627.0 5926912.0 15519.0 5906432.0 1130608.0 5935104.0 0.0 0.0 0.0 0.0 288464.0 7069696.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5902336.0 0.0 0.0 0.0 0.0 0.0 0.0 2236.0 5922816.0 0.0 0.0