Input: 0.0688426 0.004065946 0.0041662026 0.004990531 0.004444692 0.0038542943 0.0038988527 0.004065946 0.004522669 0.004021388 0.0041105044 0.0040325276 0.0041439235 0.004043667 0.0036092235 0.005369277 0.0043555754 0.003999109 0.0038431548 0.003308455 0.0037540381 0.0032973154 0.0036649215 0.0036649215 0.0037651777 0.0038988527 0.003230478 0.0040325276 0.0038654339 0.0035758049 0.0035758049 0.003620363 0.0036983402 0.003909992 0.0034087112 0.0035869444 0.0036426424 0.0036983402 0.0037094797 0.0035535258 0.0036092235 0.0034532694 0.0034755487 0.0037985963 0.0035535258 0.0034198507 0.0036315026 0.0033975716 0.003909992 0.003308455 0.0036092235 0.0040770858 0.0038431548 0.003676061 0.0035312464 0.0036649215 0.003308455 0.003999109 0.0030968029 0.00397683 0.003598084 0.0034087112 0.0036983402 0.0029854071 0.004132784 0.0038208757 0.0034087112 0.003653782 0.0036092235 0.003932271 0.0039211316 0.003286176 0.003731759 0.003308455 0.0035758049 0.0038988527 0.0036426424 0.0038765734 0.0034087112 0.0031190822 0.0041105044 0.003731759 0.003542386 0.0037540381 0.0038208757 0.0036983402 0.0040102485 0.0037985963 0.0036315026 0.003386432 0.0037428986 0.0042998777 0.0035089673 0.0034309903 0.0036315026 0.0033641527 0.0041439235 0.0036649215 0.0032081988 0.0037985963 0.0037874568 0.0036649215 0.0034644092 0.0034087112 0.00450039 0.0044558314 0.0034978278 0.0035758049 0.0039211316 0.0038765734 0.0034866882 0.0037763172 0.0038208757 0.003252757 0.0038320152 0.0038320152 0.004388994 0.004366715 0.00397683 0.0038320152 0.0037651777 0.0035535258 0.0033530132 0.0036426424 0.0037985963 0.0039545507 0.003308455 0.0032081988 0.004388994 0.0041105044 0.0031302217 0.0041105044 0.003653782 0.0040325276 0.0035758049 0.0033641527 0.0038208757 0.0038988527 0.003731759 0.004388994 0.0033641527 0.0049793916 0.0031636404 0.0034421298 0.003542386 0.0030968029 0.00317478 0.003620363 0.0033195945 0.0034866882 0.0033641527 0.0032638966 0.003041105 0.0034755487 0.002885151 0.003230478 0.0037651777 0.003197059 0.002829453 0.003308455 0.0033418736 0.0035312464 0.0029854071 0.0035089673 0.0033641527 0.0031525008 0.0033418736 0.0031525008 0.0033418736 0.0034198507 0.0034866882 0.0034978278 0.0035646653 0.003252757 0.0030633842 0.0038097359 0.0034309903 0.0033530132 0.0032081988 0.0034866882 0.0035758049 0.0033195945 0.004177342 0.0041216444 0.0035646653 0.0034198507 0.0033418736 0.003197059 0.0031525008 0.0035869444 0.0033418736 0.0034755487 0.00397683 0.0043778545 0.0040102485 0.0038431548 0.0034755487 0.003542386 0.0041662026 0.0036983402 0.0037763172 0.003943411 0.0035089673 0.0034087112 0.0037540381 0.003653782 0.0033530132 0.0034087112 0.0037428986 0.0037094797 0.0031859195 0.0032081988 0.0036426424 0.0031636404 0.0034421298 0.0035646653 0.003943411 0.0035089673 0.0036872006 0.0034309903 0.003676061 0.0032638966 0.0035535258 0.0038208757 0.0036872006 0.0037206193 0.0033975716 0.003286176 0.0032193384 0.0029965467 0.003252757 0.003275036 0.003308455 0.0036872006 0.003542386 0.0044001336 0.0035312464 0.0036649215 0.0037094797 0.0037874568 0.0037094797 0.0035535258 0.0035758049 0.0034644092 0.0034309903 0.0034087112 0.0041105044 0.0036983402 0.0038654339 0.0030522447 0.0030745238 0.0032081988 0.0037428986 0.0038320152 0.0041996213 0.005057369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021631995 0.00011355378 0.0001021984 0.0001021984 5.677689e-05 0.0001021984 0.00012490916 0.00012490916 0.0001021984 0.0001021984 0.00012490916 4.542151e-05 0.0001021984 7.948765e-05 0.00018168605 0.0001589753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00908998 0.00010787609 0.00013626454 0.00013058685 0.00011355378 0.0001532976 0.00017600835 0.00011355378 0.00028388444 0.0001021984 7.3809955e-05 0.00016465299 0.00034633902 0.00021575218 0.00017600835 0.00024414062 0.008607376 0.00011923147 0.00014761991 0.00013058685 0.00023846293 0.00024414062 0.00034633902 0.00027820675 0.00032362828 0.00010787609 0.00014761991 0.00011355378 0.0003179506 0.00013058685 0.0001021984 0.00027252908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005444904 0.0005280251 0.00036904978 0.00038040517 0.00034066133 0.0005393805 0.0006131904 0.00043150436 0.00057912426 0.0002611737 0.00018736374 0.00038608286 0.0003179506 0.00042582667 0.00034066133 0.00048260356 0.0040254816 0.00034633902 0.00038040517 0.00036904978 0.0003065952 0.00034633902 0.0004144713 0.0003179506 0.0010560502 0.00023846293 0.00027252908 0.00045421513 0.001112827 0.0006075127 0.00047124818 0.00090843026 0.01004951 0.0017771167 0.0017316951 0.0018963481 0.002061001 0.0020155795 0.0026401253 0.002225654 0.004343432 0.0012263808 0.0016862736 0.0021064226 0.004235556 0.0025776708 0.0022710755 0.003667787 0.062034428 0.057287883 0.05545399 0.055459667 0.055993367 0.05677689 0.056532748 0.05714026 0.05530069 0.05126953 0.051973566 0.05321698 0.054312773 0.053251043 0.05363145 0.054085664 444.0 6.310811 2802.0 0.011063526 0.009279086 0.0078515345 0.009992862 0.008208423 0.009992862 0.008922199 0.008922199 0.005710207 0.0071377587 0.0074946466 0.009635975 0.008208423 0.005353319 0.01213419 0.0074946466 0.014632406 0.0074946466 0.011063526 0.012847966 0.014275517 0.009635975 0.01391863 0.01213419 0.008208423 0.013561741 0.0078515345 0.011777302 0.00856531 0.006067095 0.00856531 0.00856531 0.008208423 0.011063526 0.008922199 0.011420414 0.008922199 0.008922199 0.008922199 0.0078515345 0.0103497505 0.008922199 0.011063526 0.011063526 0.0103497505 0.011063526 0.008922199 0.006423983 0.011777302 0.009279086 0.011777302 0.010706638 0.014632406 0.011777302 0.011063526 0.011420414 0.011777302 0.008208423 0.008922199 0.01213419 0.008922199 0.008208423 0.0067808707 0.005353319 0.009279086 0.016416846 0.0078515345 0.012847966 0.014275517 0.020699501 0.00856531 0.009635975 0.012491078 0.01213419 0.0078515345 0.01213419 0.015703069 0.012847966 0.013204854 0.016416846 0.011777302 0.009279086 0.01713062 0.013204854 0.01748751 0.012847966 0.012847966 0.011777302 0.011777302 0.0078515345 0.0074946466 0.0074946466 0.0103497505 0.009279086 0.0071377587 0.008208423 6.533223 0.0 0.0 0.0 4.0 89770.0 114688.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1541704800.0 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 16384.0 4096.0 4096.0 3.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.850501 0.0 0.0 0.0 0.0 -7.8759785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.44945598 0.0024919035 0.0022620014 0.0022591539 0.0023721114 0.0022661781 0.0020535518 0.0021245538 0.0023592021 0.0020776622 0.0020772824 0.002073106 0.0021949862 0.0021051897 0.0020546908 0.0022475733 0.0022553569 0.0020831677 0.0020366556 0.002032479 0.0021668891 0.0021532204 0.0020077992 0.0020188102 0.0021431586 0.0020402626 0.0020628541 0.0020339978 0.0020565894 0.0020364658 0.002020329 0.0020408323 0.0022752907 0.0020641831 0.0020769027 0.0020584879 0.0026392231 0.002061905 0.0020526026 0.0020674104 0.002130249 0.0020322893 0.002044819 0.002229538 0.0020898122 0.0020541213 0.002131578 0.0022022002 0.0022946547 0.0023195245 0.0022813657 0.0023489504 0.0022445358 0.0022407388 0.002243966 0.0021995425 0.0023024385 0.0022836437 0.0020548808 0.0021526508 0.0020890527 0.0020620949 0.002027733 0.0020896224 0.002393564 0.0024000187 0.002278518 0.002302818 0.002409321 0.0024710207 0.0023411668 0.002304147 0.0029923345 0.0023088933 0.0022016307 0.0022433966 0.0023956522 0.0023149683 0.0022582046 0.0022302973 0.0023933742 0.0022813657 0.0023229416 0.0023428753 0.0023637584 0.0023307253 0.0023470519 0.0023413566 0.002310222 0.002290668 0.0022468138 0.0020715871 0.0020727261 0.0021154413 0.0020843067 0.0021851142 0.0020856357 0.0023174363 0.0022654186 0.0023362308 0.0023413566 0.0024123585 0.0023330036 0.002261432 0.0023301558 0.0023385088 0.0023536966 0.0021987832 0.0023292066 0.0022948447 0.0023178158 0.0023096525 0.002306615 0.002219666 0.0023307253 0.0023210433 0.002619669 0.0024508971 0.0022314365 0.0022483326 0.0022826944 0.0022302973 0.0022154895 0.002033808 0.0021125935 0.002075574 0.0020782317 0.0020465276 0.002126832 0.0021099357 0.0020358963 0.0024283056 0.0023614801 0.0022876305 0.0020723464 0.0020620949 0.00214126 0.0025486671 0.0020894324 0.0029534164 0.0020846864 0.0022285888 0.0020444393 0.002036086 0.002127781 0.0020522228 0.0020406423 0.0020290618 0.0020414018 0.0020302008 0.002072916 0.0020193798 0.0019755256 0.0020400728 0.0020558299 0.0020478566 0.0020467173 0.002044629 0.002060576 0.0020463378 0.0020431103 0.0020617151 0.0020404526 0.00203115 0.0020770926 0.0020527923 0.0020499448 0.0020427306 0.0020497548 0.0020307705 0.00204349 0.0020526026 0.002004382 0.0020351368 0.002033618 0.0019939404 0.002049565 0.002039883 0.0020188102 0.002051843 0.0020436798 0.002038554 0.0020746246 0.002034947 0.0021270218 0.002079181 0.0020776622 0.002054311 0.002052033 0.0020550706 0.0020658916 0.002071777 0.0022912375 0.002144867 0.0020968365 0.0021936572 0.0021239843 0.002020329 0.0023202838 0.002217388 0.0021125935 0.0020799402 0.0020829777 0.0020489956 0.0021589156 0.0020309603 0.0020339978 0.002045768 0.0020744347 0.0020309603 0.0020844964 0.0020769027 0.0020537416 0.0020467173 0.0020590574 0.0020622846 0.0020956974 0.002032479 0.0020343775 0.002048236 0.0020727261 0.00201919 0.0020491853 0.0020537416 0.0020934192 0.0020415916 0.0020254548 0.0020571589 0.0020577284 0.0020212783 0.0020355165 0.0020679801 0.0023267386 0.002085256 0.0020772824 0.002168598 0.0021676486 0.0019954592 0.0020516533 0.0020674104 0.002137653 0.0020474768 0.0020727261 0.002095128 0.002059437 0.002051843 0.0020871544 0.002079181 0.0021551189 0.0020655121 0.0020687394 0.0020478566 0.0021283508 0.0020590574 0.002099874 0.002902538 0.43378288 0.0 1.1392913e-06 3.7976375e-07 1.8988188e-06 2.2785825e-06 1.8988188e-06 3.03811e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001125335 2.4684643e-06 2.4684643e-06 2.5634054e-06 2.2785825e-06 2.2785825e-06 7.1205704e-06 5.3166928e-06 1.2342322e-06 1.8988188e-06 2.7532872e-06 3.03811e-06 1.7089369e-06 1.9937597e-06 1.613996e-06 2.5634054e-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 0.0022162064 2.4494762e-05 3.7121907e-05 1.5095609e-05 2.2785825e-05 2.9906396e-05 8.53519e-05 3.845108e-05 9.304212e-06 4.841988e-06 1.015868e-05 7.690216e-06 1.006374e-05 3.5128148e-06 5.03187e-06 7.690216e-06 0.0011578047 1.5950078e-05 1.7848897e-05 1.0823267e-05 1.7279252e-05 3.2090036e-05 3.3893913e-05 2.0981948e-05 8.06998e-06 4.0824602e-06 5.6015156e-06 4.841988e-06 5.8863384e-06 1.5285492e-05 4.367283e-06 6.266102e-06 0.00031112146 2.0887007e-06 3.9875194e-06 2.0887007e-06 2.0887007e-06 1.7089369e-06 1.4241141e-06 4.0824602e-06 1.5285492e-05 9.589035e-06 1.8513483e-05 2.0887007e-06 3.03811e-06 3.9875194e-06 2.5634054e-06 5.2217515e-06 0.0009914682 3.522309e-05 4.2533542e-05 2.6678405e-05 1.6804546e-05 3.142545e-05 5.2312458e-05 4.566659e-05 4.0824605e-05 1.110809e-05 8.06998e-06 1.613996e-06 1.4336082e-05 4.747047e-06 1.0918208e-05 2.734299e-05 0.0012202759 2.1931357e-05 4.5096946e-05 2.933675e-05 4.2913303e-05 3.4938264e-05 9.627011e-05 6.484466e-05 3.7311787e-05 1.4620905e-05 1.7469132e-05 2.1741474e-05 2.231112e-05 2.6393582e-05 1.6994429e-05 3.750167e-05 0.00033039445 6.455984e-06 1.6804546e-05 9.399153e-06 2.1551594e-05 1.5855137e-05 9.190283e-05 4.7660353e-05 7.975039e-06 4.841988e-06 5.03187e-06 5.1268107e-06 5.03187e-06 5.03187e-06 4.747047e-06 5.5065743e-06 0.0006240468 2.6868285e-05 0.00021656028 0.0009257691 0.0014392097 0.0010501418 0.0015085166 0.0010672311 2.4874525e-05 1.2342322e-05 9.778917e-06 1.9842657e-05 1.4051259e-05 1.3576554e-05 3.24698e-05 1.4525964e-05 0.0017904912 8.3548024e-05 0.0003771054 0.0009509284 0.0015284541 0.0011339745 0.0015275998 0.0011073911 0.00025159348 5.981279e-05 7.747181e-05 6.8357476e-05 0.00017174816 6.9117006e-05 5.857856e-05 7.690216e-05 0.0011086253 6.987653e-05 0.00018466012 0.00016814041 0.00030960242 0.00019928103 0.00022643415 0.00018048272 0.00019339469 4.6616e-05 4.03499e-05 4.2723423e-05 0.0001539942 4.7850233e-05 6.693336e-05 7.2060175e-05 0.0011592289 8.050992e-05 0.0001115556 0.00012551193 0.00025121373 0.00017725474 0.00014905728 0.000143076 0.00029460175 4.6426117e-05 3.6932026e-05 6.5319364e-05 0.0001493421 8.269356e-05 8.9529305e-05 0.00014877245 0.0030897579 0.00046606507 0.00050964294 0.00050242746 0.001419462 0.00078088924 0.00034700913 0.00055806286 0.0016853915 0.00016861511 0.00018266636 0.00028653175 0.00087260216 0.00026915755 0.00050964294 0.0009906137 0.0012032815 0.00026640427 0.00030086783 0.00022396568 0.000594805 0.0003550791 0.00018048272 0.00027219567 0.00077044574 0.00010937196 0.000102346334 0.00010718832 0.00043359527 0.0001514308 0.00026602452 0.00049568666 0.032283716 0.032090038 0.032347612 0.03224764 0.032181084 0.03225818 0.03251974 0.032250296 0.032277547 0.03224308 0.03213181 0.032304794 0.032151368 0.032205485 0.03227669 0.032272134 13765.0 10.616781 146140.0 0.0067537976 0.005364719 0.005241549 0.0050636376 0.0058642398 0.005658957 0.005357876 0.005255235 0.005138908 0.005097851 0.0054468317 0.011646367 0.005528945 0.005138908 0.0064937733 0.011742165 0.011954291 0.012009032 0.012385384 0.012399069 0.011885863 0.011598467 0.011858492 0.01187902 0.012618038 0.012672779 0.0054399893 0.0053236624 0.004988367 0.0048925686 0.0048788833 0.0055563156 0.0055357874 0.014657178 0.012125359 0.013329684 0.0127138365 0.0132407285 0.012946489 0.012638566 0.012932804 0.012419597 0.011837964 0.012399069 0.013377584 0.012132202 0.012590666 0.012604352 0.012508553 0.012385384 0.013706035 0.0135623375 0.013151772 0.0126796225 0.012768578 0.012734365 0.012529082 0.012111674 0.012488025 0.0052962913 0.00539209 0.0056931707 0.005508417 0.008820309 0.005221021 0.014171342 0.011926919 0.013630765 0.014253455 0.017004242 0.0126111945 0.013028603 0.012727521 0.014349254 0.01274805 0.011406871 0.014273983 0.012919119 0.014451896 0.014342411 0.012802792 0.011632681 0.015266183 0.01423977 0.015478308 0.012515396 0.012535924 0.012214315 0.0120843025 0.012973861 0.011687423 0.0051252223 0.00499521 0.004967839 0.0053989324 0.0050636376 6.488876 5.0 1.0 0.0 75.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.73243535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 5.409998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.060769558 0.004388492 0.004036365 0.0034252356 0.003806464 0.0029712536 0.0031458621 0.0034601572 0.0036114845 0.0044961674 0.0034834384 0.003125491 0.003663867 0.003186604 0.0042138835 0.0038879479 0.0032215258 0.0039723422 0.004120759 0.0034077747 0.0034921688 0.0036900584 0.0048570246 0.0030876594 0.0030032652 0.0035008993 0.0032651778 0.0034688876 0.00310512 0.0028577582 0.0037366205 0.003369943 0.003783183 0.004074197 0.003890858 0.0029130508 0.0037046091 0.004362301 0.0033874037 0.003908319 0.0034688876 0.0028373871 0.003538731 0.002936332 0.00351545 0.0038181045 0.0033990443 0.0033670329 0.0037191599 0.0033408415 0.0031487723 0.0032331662 0.0030876594 0.0037919134 0.0034485166 0.0038966783 0.0033903138 0.0035852934 0.0029305117 0.0035067196 0.0034106849 0.004277907 0.0032739083 0.0033000996 0.0058872146 0.0045136283 0.003431056 0.0034281458 0.0048715756 0.012114916 0.0032331662 0.0040247245 0.003684238 0.003908319 0.004318649 0.0029654333 0.0031196708 0.004510718 0.004475796 0.0038239248 0.005197511 0.0046416745 0.0031458621 0.0032360763 0.003917049 0.0041062087 0.0036725975 0.0038559365 0.0057620783 0.0033815834 0.0044583357 0.002979984 0.0032971895 0.0032913692 0.0035270904 0.0035736528 0.0036464063 0.003559102 0.0030352767 0.004385582 0.004385582 0.0034165052 0.0040014433 0.002979984 0.0038588466 0.0033437517 0.0037278903 0.004178962 0.0032215258 0.0035416412 0.004088748 0.003268088 0.0034863485 0.002814106 0.003576563 0.0035212701 0.0034223255 0.002979984 0.003762812 0.0033670329 0.003966522 0.0028577582 0.0029712536 0.003457247 0.003783183 0.0038995885 0.0033088299 0.0027995554 0.004164411 0.004071287 0.0031284012 0.003966522 0.0044379644 0.0032622677 0.0034223255 0.0034688876 0.0036929685 0.004379762 0.004880306 0.006539086 0.0029072305 0.004114939 0.004013084 0.003745351 0.004030545 0.0031895142 0.0035300006 0.0035823833 0.003559102 0.0029916246 0.0034514267 0.003349572 0.0033612126 0.0046445844 0.0029421523 0.0029858043 0.003023636 0.003375763 0.0045631006 0.0035096298 0.0030585579 0.0038617568 0.003701699 0.0042924574 0.0029537927 0.004240075 0.0028432074 0.0037540814 0.0029945348 0.003829745 0.0029217813 0.0028577582 0.0035532818 0.0032302563 0.0028082856 0.0032302563 0.003078929 0.0027238918 0.0028810392 0.0032768184 0.0037890032 0.0032098852 0.002977074 0.002977074 0.0045601903 0.0029712536 0.0034834384 0.0035445513 0.003576563 0.0037191599 0.003556192 0.003745351 0.004397223 0.0035940236 0.003329201 0.0046038427 0.002997445 0.003349572 0.010319359 0.0033874037 0.0038995885 0.0034805282 0.0037366205 0.0033961341 0.006146217 0.0029217813 0.0033262908 0.003078929 0.0034368762 0.0031895142 0.0031487723 0.0028286567 0.0034194153 0.0032127954 0.0035532818 0.0029654333 0.00393451 0.0032302563 0.0030323665 0.0029072305 0.004397223 0.0034979891 0.0030847492 0.0037744525 0.003637676 0.0033088299 0.0043157386 0.0030876594 0.0029916246 0.0037249802 0.0035241803 0.0035940236 0.0045369095 0.003061468 0.0028606683 0.003017816 0.0041673216 0.0034426965 0.004379762 0.0033379314 0.0039636116 0.0032098852 0.0035329107 0.0032418966 0.0037104294 0.0037919134 0.0041527706 0.0038384756 0.0040043537 0.0048075523 0.0034368762 0.004199333 0.004592202 0.00351254 0.003701699 0.00620442 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052963898 0.053121783 0.053977005 0.053345457 0.05137625 0.054979883 0.0526452 0.05102393 0.053858593 0.053077925 0.05196248 0.052048735 0.05254725 0.051133573 0.052003413 0.054246 1701.0 7.5937686 12917.0 0.007354649 0.0059611364 0.017186653 0.0052643805 0.0053417976 0.0063482234 0.005109546 0.016799567 0.006115971 0.0052643805 0.0054966323 0.004645041 0.00557405 0.016567314 0.006115971 0.00410312 0.005419215 0.005109546 0.0058837193 0.007973988 0.004954711 0.0048772935 0.00557405 0.0059611364 0.0057288846 0.006115971 0.006115971 0.00557405 0.00410312 0.0058837193 0.005032128 0.01610281 0.0058063017 0.041727956 0.005419215 0.0059611364 0.05682434 0.006270806 0.01726407 0.03274754 0.00557405 0.031199194 0.0052643805 0.004722459 0.0057288846 0.0072772317 0.030037934 0.0052643805 0.032128204 0.017883409 0.005419215 0.006270806 0.005419215 0.016335063 0.0058063017 0.006503058 0.030812109 0.0061933887 0.016722148 0.005032128 0.004722459 0.0047998764 0.0054966323 0.008593326 0.005419215 0.008748162 0.0058837193 0.007122397 0.021599442 0.015251219 0.0064256405 0.00820624 0.00557405 0.008748162 0.0061933887 0.016722148 0.008902996 0.008515909 0.020747852 0.008902996 0.0058837193 0.004722459 0.008825579 0.008593326 0.011612603 0.0061933887 0.016489897 0.016876984 0.017109236 0.0053417976 0.0054966323 0.01641248 0.004954711 0.017109236 0.017186653 0.0053417976 6.204391 0.0 0.0 0.0 9.0 343626.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 2.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.07344993 0.0066491906 0.0027390914 0.0030350604 0.004025913 0.0013916055 0.0015441858 0.002253776 0.0031619042 0.0007445181 0.000900775 0.00076473964 0.0020203097 0.0015956586 0.0005018604 0.0033144844 0.0023346618 0.0008162125 0.00038604645 0.0003492801 0.0010662235 0.0017114725 0.00046693237 0.00035295676 0.0010349721 0.0002922923 0.00028310073 0.00027390913 0.00088974513 0.0004136212 0.00038236982 0.0010551936 0.0018548613 0.00047796225 0.0005551716 0.00054597994 0.0043715164 0.00045406414 0.00045406414 0.00040626794 0.0005827463 0.00038788476 0.00028861567 0.00082356576 0.0005680398 0.0004264894 0.0003933997 0.00028861567 0.00090261333 0.00029780724 0.0002683942 0.0017280175 0.00062135095 0.00049083045 0.00023162787 0.00023162787 0.00061951263 0.0006139977 0.00038420814 0.0012243188 0.00067833875 0.00077760784 0.00024817273 0.00084930216 0.0019247172 0.005345824 0.0029652044 0.0003713399 0.0018199332 0.0011930673 0.0009577628 0.0006581173 0.00064892566 0.00048347723 0.00032905865 0.00023162787 0.0011121815 0.0007316499 0.00054965663 0.0003364119 0.0020497227 0.0010147507 0.0008401106 0.0010147507 0.0008879068 0.0007996676 0.0014908746 0.0009982059 0.00033273528 0.00060664443 0.0003805315 0.00096327777 0.00048715385 0.0010221039 0.0013732223 0.0012261571 0.00036214833 0.00066730886 0.00023714281 0.0004503875 0.00067833875 0.0012574084 0.001097475 0.00027390913 0.0009540862 0.0006526023 0.0014155037 0.00031067547 0.00070775184 0.0004044296 0.0006434107 0.0007132668 0.0005992911 0.00013971205 0.000871362 0.0007849611 0.0029560127 0.0024302544 0.00033089696 0.00032905865 0.0003474418 0.00040075296 0.00019486154 0.0001893466 0.000830919 0.00054781826 0.0005864229 0.00086584705 0.0016269101 0.00096327777 0.00025368767 0.004217098 0.0011820374 0.0023953263 0.00031986705 0.00019118491 0.0008732003 0.0029431446 0.0009430563 0.008110652 0.00043935762 0.0017574305 0.00039523802 0.00025001104 0.005106843 0.0001783167 0.00021140638 0.00014706531 0.0004485492 0.00019302322 0.00015809521 0.00013787374 0.00028126242 0.00022059797 0.00013052046 0.00016544848 0.0005239202 0.00014338868 0.00019302322 0.00018566995 0.00057723135 0.0014724914 0.0005275968 0.0013291028 0.000580908 0.00033273528 0.00023162787 0.00017464005 0.0003345736 0.00014890362 0.00020956807 0.00025001104 0.00026104093 0.00017096342 0.0001562569 0.00027574747 0.00028126242 0.0001783167 0.00021875965 0.00013235878 0.00038972308 0.00026287924 0.00044671088 0.0003345736 0.0007996676 0.0003492801 0.0002573643 0.00030332222 0.00037685485 0.00020405313 0.0004264894 0.0005680398 0.0032832331 0.0011140198 0.00048715385 0.002167375 0.0022464227 0.00026104093 0.00071142847 0.0011930673 0.0007592247 0.0008419489 0.0003014839 0.0002022148 0.0005147286 0.00022795123 0.00035111842 0.00025368767 0.00046141742 0.00038788476 0.00036398665 0.00044671088 0.0003364119 0.00022795123 0.0003566334 0.00031986705 0.00054781826 0.0002353045 0.00024633438 0.00036766328 0.00030332222 0.00019853817 0.0003143521 0.00018383164 0.0012335103 0.00032905865 0.00044119594 0.00036582496 0.00038788476 0.00021140638 0.00026287924 0.00026287924 0.0033457358 0.00056252483 0.0003125138 0.0012996896 0.0006526023 0.00034376516 0.00026471756 0.00035295676 0.0015294793 0.00041178288 0.00042097445 0.00062135095 0.00062318926 0.0012188038 0.00093386474 0.00087871525 0.002248261 0.0011195347 0.0015147728 0.0009191582 0.0025019485 0.0012500552 0.0030828565 0.7004059 0.019227225 1.8425708e-06 5.1591982e-05 1.197671e-05 9.212854e-06 1.8425708e-06 0.0 5.5277123e-06 1.1055425e-05 7.370283e-06 9.212854e-07 1.8425708e-06 1.28979955e-05 0.0 7.370283e-06 0.57498896 0.004187242 3.8693986e-05 0.0 3.408756e-05 0.0 0.0 0.0 3.1323703e-05 2.7638562e-05 0.0 0.0 0.0 3.224499e-05 0.0 2.9481133e-05 0.06354382 0.0013717939 6.448998e-05 1.8425708e-06 5.1591982e-05 3.6851416e-06 9.212854e-07 2.7638562e-06 6.633255e-05 8.752211e-05 8.2915685e-06 1.197671e-05 5.5277123e-06 6.541126e-05 1.9346993e-05 7.738797e-05 0.015142246 0.0021613354 0.00017320165 9.212854e-07 0.00018794222 9.212854e-07 0.0 2.7638562e-06 0.00019254864 0.00022387235 0.0 0.0 0.0 0.00016491009 0.0 0.00016214623 0.017484155 0.0031627726 0.00031692217 0.0003602226 0.00025980247 1.8425708e-06 0.0 0.0 0.0001768868 0.00017228037 0.0 0.0 0.0 0.00017965065 0.0 0.00021558077 0.012135171 0.0015569723 0.0002266362 1.8425708e-06 0.00015846109 0.0 0.0 9.212854e-07 0.00015661851 0.00019623378 0.0 0.0 0.0 0.0001824145 0.0 0.00013174381 0.006822118 0.00034271815 2.3032135e-05 8.1073114e-05 4.5142984e-05 5.4355838e-05 1.8425708e-05 9.212854e-07 0.0 4.606427e-06 6.4489977e-06 9.212854e-07 9.212854e-07 9.212854e-07 9.212854e-07 9.212854e-07 0.0013054614 0.0023124262 0.0002717792 0.00045235112 0.00016306751 8.1073114e-05 2.3032135e-05 2.211085e-05 3.5008845e-05 4.3300413e-05 3.3166274e-05 5.0670697e-05 1.1055425e-05 5.2513267e-05 5.0670697e-05 3.1323703e-05 0.00014003538 0.0010594781 3.6851416e-05 9.765625e-05 4.6985555e-05 2.4874706e-05 7.462411e-05 0.00029481133 0.0002017615 9.212854e-06 5.5277123e-06 5.5277123e-06 5.5277123e-06 4.606427e-06 4.606427e-06 2.7638562e-06 1.197671e-05 0.0041623674 0.00030678802 0.00069372787 0.00029941773 0.0005232901 0.00027546432 0.0014003537 0.00079691183 0.00015293337 6.541126e-05 7.6466684e-05 4.5142984e-05 7.6466684e-05 4.0536557e-05 4.8828126e-05 0.00046985556 0.00596348 0.00030494545 0.0006808299 0.0004090507 0.00051960495 0.00040536557 0.0016619988 0.001006965 0.00033166274 0.00021281693 0.00015293337 0.0003086306 0.00021926592 0.00016306751 0.00020728921 0.00065964035 0.005012714 0.00035561615 0.0005813311 0.00036943544 0.00068451505 0.00042010614 0.0014805056 0.0009332621 0.00044037442 0.00026072375 0.00017320165 0.00062002504 0.0002708579 0.00016398879 0.00017504422 0.0012658461 0.012308372 0.0011571344 0.0011479215 0.0012142542 0.0012704525 0.0012704525 0.0013174381 0.0012400501 0.0012566332 0.0011147553 0.0011285746 0.001055793 0.001262161 0.0011571344 0.001120283 0.008714438 0.017757775 0.002644089 0.0016804246 0.0023041347 0.006141288 0.0040112766 0.0012722951 0.0019964254 0.0076521966 0.0014703715 0.002434036 0.0011175192 0.0044986364 0.0010382886 0.0027951798 0.0072237984 0.026106464 0.005998489 0.006863576 0.0045078495 0.010221661 0.008879349 0.0032622714 0.0054696715 0.01614829 0.0051416936 0.0029306088 0.0022635981 0.00777657 0.0025270858 0.0054512457 0.010979879 0.00037956957 0.00015201209 0.00014556308 7.738797e-05 8.0151825e-05 6.90964e-05 7.370283e-05 7.6466684e-05 0.00012437353 8.567954e-05 4.1457843e-05 5.8962265e-05 8.2915685e-05 0.000104105246 0.00013542896 0.00019991893 602.0 10.524917 6336.0 0.038352273 0.0022095959 0.0011047979 0.0009469697 0.016729798 0.00552399 0.0007891414 0.0018939395 0.0029987374 0.0022095959 0.0014204546 0.0023674243 0.0018939395 0.0026830807 0.009469697 0.0014204546 0.005997475 0.0042613638 0.0041035353 0.003945707 0.0029987374 0.0020517677 0.0028409092 0.00031565657 0.0014204546 0.00552399 0.0014204546 0.0042613638 0.0029987374 0.0011047979 0.00063131313 0.00063131313 0.0034722222 0.014520202 0.0053661615 0.009311869 0.010416667 0.007102273 0.008207071 0.01104798 0.0048926766 0.0056818184 0.0017361111 0.0009469697 0.008049242 0.0058396463 0.003945707 0.0025252525 0.015309343 0.006628788 0.011837121 0.021622475 0.0085227275 0.008207071 0.011679293 0.012941919 0.00063131313 0.0022095959 0.0017361111 0.0018939395 0.0023674243 0.0029987374 0.0036300505 0.012626262 0.0025252525 0.042140152 0.007575758 0.021464646 0.029671717 0.08570076 0.01010101 0.009785353 0.011837121 0.039141413 0.0031565656 0.0036300505 0.030460859 0.018465908 0.039141413 0.047664143 0.018150253 0.0014204546 0.04592803 0.03787879 0.06944445 0.019886363 0.0052083335 0.008996212 0.006786616 0.01010101 0.0015782828 0.0011047979 0.0015782828 0.00031565657 0.0034722222 0.0012626263 5.615184 0.0 0.0 0.0 2.0 543976.0 151552.0 0.0 1.0 175.0 0.0 1.0 0.0 0.0 0.0 1043947500.0 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 7.0 0.0 4.0 0.0 4.0 0.0 99328.0 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 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99328.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4202857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6480627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6330037 0.0 2.4077768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98868.0 0.0 944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 114944.0 160.0 111068.0 944.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 728.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.21224143 0.02050591 0.0070941634 0.008955857 0.00917204 0.00822965 0.009394519 0.002470364 0.0081540905 0.0019645377 0.0025606153 0.0021240513 0.0024157935 0.0035491807 0.0014419202 0.0135901505 0.008783749 0.0025669117 0.0013117905 0.0014880953 0.0024346833 0.003916482 0.0020086137 0.0011207939 0.004132665 0.0021051615 0.00090251194 0.0009822688 0.0011270904 0.0010641245 0.0007262073 0.0020275034 0.0106811235 0.0013012963 0.0010998052 0.0010347404 0.015220968 0.0013180872 0.00093189604 0.0009906642 0.0035764659 0.00086473237 0.0007828766 0.0022185002 0.0009948619 0.002082074 0.0011984518 0.0009109074 0.0064372187 0.0010956075 0.0014167338 0.0056144637 0.0016769931 0.000652747 0.0007954698 0.00063175836 0.0039290753 0.0019939216 0.0010515313 0.004743435 0.0016874874 0.0013159884 0.0019309557 0.005079253 0.0072326884 0.011801917 0.0022772686 0.003700299 0.009549836 0.0057257037 0.0013957452 0.0017651455 0.057021964 0.008105816 0.0011774632 0.001679092 0.010175297 0.003591158 0.0013768554 0.0011144973 0.0040948857 0.0008983142 0.001150178 0.0018113204 0.0024493753 0.00212615 0.0014901941 0.002438881 0.0023864093 0.0009276983 0.0005981765 0.0013558668 0.0040508094 0.0011837598 0.0013348782 0.0025312311 0.002657163 0.00330991 0.0011984518 0.0033434918 0.00301397 0.0049008494 0.0041431594 0.0011690678 0.0026529653 0.0032280544 0.00053730945 0.0009969608 0.0037044967 0.0017315636 0.002936312 0.0031378032 0.0036898046 0.00077028346 0.004151555 0.0038912955 0.012696034 0.006882178 0.0013642622 0.0018323091 0.0019435489 0.0014314259 0.00076818455 0.001166969 0.0018721875 0.0009444892 0.00091300625 0.0012991974 0.0077804923 0.002067382 0.00091930287 0.013651017 0.0044349018 0.0073901033 0.00083534827 0.0009151051 0.0026340755 0.013772752 0.0016077305 0.033273306 0.0009507858 0.011403133 0.0006275606 0.00073880045 0.0021408421 0.00046384914 0.00059607765 0.0007723823 0.0008752267 0.0007241084 0.00044705824 0.00049323327 0.00095708243 0.0004617503 0.00043236619 0.0004890355 0.0008059641 0.0006884277 0.0004848378 0.00068632886 0.0017588488 0.0008101619 0.00071991066 0.0007870743 0.0009759722 0.00074929476 0.0008563369 0.0009864665 0.0017903318 0.00091720396 0.0009696756 0.00079337094 0.0009885654 0.0008248539 0.00066114246 0.0008311505 0.001506985 0.00058138557 0.0005394083 0.0004617503 0.00071571296 0.0005541003 0.0014629088 0.0012047485 0.002438881 0.0017609476 0.0017966283 0.0007870743 0.00074929476 0.0007010209 0.0009235006 0.00069052656 0.008840419 0.005079253 0.0022101048 0.0051988885 0.0040948857 0.0018155181 0.0021975115 0.003962657 0.0039395695 0.0033204043 0.0013600645 0.0020925684 0.014408708 0.0008164585 0.0014587111 0.0017084761 0.0029573007 0.0016664987 0.0023276412 0.0012677144 0.0006695379 0.00077028346 0.000978071 0.0011522769 0.0021114582 0.0015930384 0.0009109074 0.0013453724 0.00059607765 0.00059607765 0.0005624958 0.0006632413 0.0028355664 0.0010956075 0.0009151051 0.00080386526 0.0008605346 0.0005394083 0.00060237426 0.0006044731 0.012116747 0.003263735 0.0010494324 0.0045776246 0.0033476895 0.00064435153 0.00043866277 0.0005834845 0.003232252 0.0009822688 0.0018973739 0.0011207939 0.00080386526 0.0006485493 0.0019813285 0.0014985895 0.0039395695 0.0023129492 0.0014587111 0.0012949996 0.0012635167 0.0017861341 0.0028334677 0.026559036 0.017200338 7.366312e-06 2.1046606e-06 0.0 4.209321e-06 5.2616515e-06 1.0523303e-06 3.156991e-06 1.0523303e-05 0.0 0.0 0.0 1.0523303e-06 2.1046606e-06 0.0 4.209321e-06 0.0020352066 0.0 9.470972e-06 2.1046606e-06 4.209321e-06 1.4732624e-05 8.418642e-06 1.0523303e-06 2.2098935e-05 3.156991e-06 1.0523303e-06 0.0 1.0523303e-06 1.4732624e-05 6.313982e-06 3.1569907e-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 0.0018941945 1.7889615e-05 1.0523303e-05 9.470972e-06 2.3151266e-05 2.7360587e-05 6.9453796e-05 4.630253e-05 2.3151266e-05 2.1046606e-06 4.209321e-06 2.1046606e-06 3.156991e-06 9.470972e-06 4.209321e-06 8.418642e-06 0.0072158286 7.366312e-05 0.00021783236 0.00019678577 7.471545e-05 4.9459522e-05 4.5250203e-05 4.419787e-05 0.00014837857 3.788389e-05 4.7354864e-05 3.4726898e-05 3.683156e-05 6.419215e-05 0.00011365167 0.00021993704 0.008035594 0.00017784382 0.00026097792 0.00012207031 0.00012417497 5.5773504e-05 0.0004272461 0.0002188847 0.0011038944 3.4726898e-05 4.2093212e-05 3.4726898e-05 3.367457e-05 3.683156e-05 3.4726898e-05 3.262224e-05 0.026216704 0.00036726327 0.00086922484 0.00025571627 0.0006471831 0.0004030425 0.0025529533 0.0014332739 0.0019194505 0.00029465248 0.00085659686 0.0001494309 0.0001567972 0.00017889615 0.0001283843 0.0002083614 0.01741817 0.00029360014 0.0006261365 0.0007050613 0.000927103 0.00055457803 0.0016732052 0.0009313123 0.0009007947 0.0002188847 0.00040514715 0.00011786099 0.00016837285 0.00019994275 0.00013364594 0.0005882526 0.015603953 0.0005314268 0.0011165225 0.00051248487 0.00077346276 0.00061771786 0.0030991128 0.0016605771 0.00051248487 0.0002683442 0.00013154128 0.00023361732 0.00011891332 0.00020309974 0.00017258216 0.00030622812 0.03535409 0.0027202738 0.0032222352 0.0023498535 0.002914955 0.0021709574 0.011084195 0.005936195 0.0012007088 0.0007881954 0.0008376549 0.0008702771 0.00053984544 0.00052195584 0.00088185276 0.0018826189 0.0229629 0.0022856614 0.0018142174 0.0014869426 0.001590071 0.0013364594 0.0025687383 0.001835264 0.0010397023 0.00072716025 0.0007713581 0.00067243906 0.0005956189 0.0007092706 0.0008629108 0.001844735 0.017660206 0.0009523589 0.0018710432 0.0018878805 0.0027213262 0.0013701341 0.0036557955 0.0025287496 0.0012922615 0.0010007661 0.0033064217 0.0008934284 0.001159668 0.00086080615 0.00086712016 0.0010754815 0.010404389 0.0012859476 0.001280686 0.0016689958 0.0044692466 0.0009165797 0.0008555445 0.0008986901 0.0037336678 0.0006324505 0.0020604627 0.00081450364 0.0020888755 0.0007881954 0.0011617726 0.0014227505 0.106794685 0.021589609 0.026047278 0.020803517 0.09643134 0.017786486 0.011073671 0.02305866 0.076176085 0.0049912026 0.0042419434 0.009581467 0.046893943 0.012180723 0.023033405 0.035953917 0.022910282 0.005304797 0.0068233097 0.007389463 0.016267974 0.0045776367 0.004468194 0.006178231 0.014273808 0.0017437113 0.0018773573 0.0027097506 0.009962411 0.0034305968 0.0060487944 0.00887851 0.0019825902 0.0010596965 0.0010007661 0.00261925 0.00094709726 0.00090184703 0.001010237 0.0008450212 0.000815556 0.0007176892 0.0007871431 0.00071663695 0.0008450212 0.00095972524 0.00083870726 0.0011943949 2297.0 12.080105 27748.0 0.05200375 0.0015856999 0.0009730431 0.0008649272 0.021731297 0.006486954 0.0049733315 0.0022343954 0.0042885975 0.0023425112 0.0011532363 0.0023064725 0.0027749748 0.0023064725 0.008505117 0.0024145884 0.012793715 0.004721061 0.0040723654 0.005730143 0.002847052 0.0012973908 0.0023064725 0.0007928499 0.0065229926 0.0060905293 0.005333718 0.008216809 0.0030632839 0.0027749748 0.0036038633 0.0036038633 0.008505117 0.051463168 0.0033155542 0.008901542 0.01607323 0.00868531 0.0053697564 0.0055499496 0.025118928 0.008937581 0.0007928499 0.0009730431 0.009045697 0.0028830906 0.0054418338 0.0032795155 0.008324924 0.0010451204 0.003639902 0.008397002 0.0108836675 0.011568401 0.014307338 0.017226467 0.0042885975 0.0010090817 0.001369468 0.0018379703 0.010631396 0.006270722 0.009802508 0.015532651 0.0030993226 0.035822403 0.007892461 0.024830619 0.0226683 0.059788093 0.016541732 0.008541157 0.007820384 0.03351593 0.00093700446 0.0040723654 0.031569842 0.014379415 0.027137091 0.035750326 0.01502811 0.0011532363 0.035750326 0.027605593 0.05330114 0.019496901 0.005910336 0.0048291767 0.005694104 0.0069194175 0.0018019316 0.0007568113 0.0038921724 0.00046850223 0.0006486954 0.001189275 5.7830806 17.0 15.0 0.0 4.0 476448.0 1609728.0 1.0 3.0 171.0 1.0 1.0 1.0 1.0 0.0 1543263400.0 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 14.0 5.0 2.0 5.0 2.0 307712.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121856.0 0.0 0.0 0.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -307712.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4303603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.233941 0.0 0.0 0.0 0.0 5.6500745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2589583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4764137 0.0 3.4533029 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121516.0 0.0 0.0 0.0 0.0 17604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1140812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -307496.0 0.0 2088.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 431936.0 140.0 432084.0 2088.0 1601536.0 17604.0 1581056.0 6944.0 469504.0 3920.0 1605632.0 84.0 404400.0 0.0 0.0 0.0 0.0 40.0 404752.0 256.0 404496.0 0.0 0.0 1416.0 315392.0 0.0 0.0 0.0 0.0


Input: 0.039701745 0.005235614 0.00654507 0.0040389653 0.0059589115 0.003769111 0.006520739 0.0040699323 0.0041407133 0.0039947266 0.008195162 0.0037514155 0.003764687 0.0037005416 0.003631972 0.004324303 0.0039792433 0.0044901967 0.003908462 0.0036717865 0.004262369 0.0035390714 0.0036474555 0.0037602633 0.0039460645 0.003875283 0.0036961176 0.003603217 0.003437323 0.0038155613 0.0037536277 0.0042468854 0.004923733 0.0037381442 0.003819985 0.0042999717 0.0042468854 0.003822197 0.00341078 0.0038045016 0.0055098915 0.0038177732 0.003415204 0.0035302236 0.0036098529 0.003822197 0.003819985 0.0037602633 0.0041362895 0.004043389 0.0034262633 0.003658515 0.003988091 0.003634184 0.0031431378 0.0035125283 0.0032515218 0.003656303 0.0036054289 0.0034550184 0.0035368595 0.003910674 0.0036607268 0.0039460645 0.0043641175 0.0041407133 0.0041385014 0.003939429 0.0038332567 0.004014634 0.004096475 0.003875283 0.0041672564 0.004202647 0.0036739984 0.0036209123 0.0032758529 0.003461654 0.003521376 0.0036474555 0.0040588723 0.0039527 0.0036894819 0.003988091 0.0033665416 0.0032271906 0.0031807404 0.003494833 0.0028976146 0.0033488462 0.0032227668 0.0033776013 0.0033776013 0.003578886 0.0036828462 0.0038907665 0.0032559456 0.004627336 0.0037093891 0.004311031 0.004173892 0.005753203 0.003382025 0.0038974024 0.0037226607 0.0046383953 0.0030458132 0.0037381442 0.003990303 0.004204859 0.0042468854 0.007735083 0.0044393227 0.0034417468 0.0052112825 0.0055143153 0.004890554 0.004238038 0.0033665416 0.0038045016 0.00390625 0.0042490973 0.0035810978 0.005372753 0.003437323 0.003937217 0.0036187004 0.003766899 0.0032072833 0.0038642236 0.0036297601 0.0034240515 0.0036540912 0.0038708593 0.003771323 0.003554555 0.003742568 0.0033908729 0.00417168 0.003220555 0.004032329 0.0037514155 0.0036142766 0.0038022897 0.0035656143 0.0038642236 0.003742568 0.0033997204 0.0036961176 0.0031254424 0.0035191642 0.003415204 0.0033798132 0.0031785285 0.0033776013 0.0032227668 0.00341078 0.0033377868 0.0035390714 0.0036673627 0.0036695746 0.003910674 0.0043685413 0.003326727 0.0034528065 0.0036098529 0.0033864488 0.003326727 0.003406356 0.0033798132 0.0031365019 0.003052449 0.003194012 0.0033134555 0.0036784222 0.003545707 0.0029794557 0.0034793494 0.0035368595 0.0031718926 0.0033554821 0.0033621178 0.0035324355 0.0035324355 0.0031519854 0.0034328992 0.0035523428 0.0033245152 0.0037049653 0.0037027535 0.0036496674 0.0035434952 0.0030148465 0.0035191642 0.0035877335 0.003711601 0.0034572303 0.0032935482 0.0035523428 0.0037868062 0.0034749256 0.0036164885 0.0032891245 0.003382025 0.003242674 0.003271429 0.0035589787 0.003771323 0.0040699323 0.0032515218 0.003554555 0.0031984358 0.0035147402 0.002946277 0.0032581575 0.00368727 0.0033731775 0.0035877335 0.0034328992 0.0033665416 0.003494833 0.0031741047 0.003625336 0.0037934422 0.0031475616 0.0038332567 0.0035036807 0.003554555 0.003576674 0.0031365019 0.003656303 0.0038111375 0.0033952966 0.0034881972 0.0033621178 0.0035280117 0.003769111 0.0034881972 0.0035257998 0.0038863427 0.00390625 0.003877495 0.0034837734 0.0036120648 0.003773535 0.0033178793 0.0038177732 0.003718237 0.003764687 0.0035014688 0.0036164885 0.003879707 0.0037093891 0.003523588 0.0038863427 0.003764687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044333716 0.00031183416 0.00041392935 0.00017311789 0.0003684304 0.00023859198 0.0017766779 0.0012029475 2.6633523e-05 4.4389203e-06 3.9950282e-05 1.9975141e-05 4.4389203e-06 1.8865412e-05 2.1084872e-05 3.6621095e-05 0.020292524 0.0021573154 0.0027654474 0.0010142933 0.0022516423 0.00066472834 0.0058382903 0.0047796075 0.00019198332 0.00020751954 0.00027188388 7.435192e-05 1.7755681e-05 0.00016756925 8.544922e-05 0.00012872869 0.020006215 0.0023781515 0.0022383255 0.0009144176 0.0014404297 0.0007734819 0.003055087 0.002849787 0.0005459872 0.00021195845 0.0006736062 0.00029629795 0.00019642223 0.0003240412 0.00013871626 0.00032071202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00337247 0.00033846768 0.00046386718 0.0005792791 0.00039284446 0.0004017223 0.001640181 0.00096768467 0.00022305576 8.212003e-05 5.3267046e-05 0.00010764382 0.00018532493 0.000110973015 7.768111e-05 9.432706e-05 0.0005271218 0.00010209517 0.00017866655 0.00021417791 6.3254614e-05 0.00013427735 0.0005537553 0.00035400392 4.8828126e-05 1.2207031e-05 4.4389203e-06 3.9950282e-05 1.7755681e-05 4.4389203e-06 1.2207031e-05 5.5486507e-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 0.0010364879 0.00014093572 0.00027854225 0.0002607866 0.00024636008 0.00023526278 0.00041170986 0.00033735795 0.00016091087 0.00023415305 0.00019087359 0.00018310547 0.00014315518 0.00021861683 0.00022638495 0.00024081144 0.059750088 0.056349877 0.05704124 0.05551647 0.05736528 0.054049406 0.055018198 0.056274414 0.057697088 0.054876152 0.054697488 0.05446888 0.055151366 0.054666415 0.05628662 0.058518287 2485.0 8.027766 19949.0 0.011930423 0.0052634217 0.007970325 0.0067672567 0.008822497 0.0052634217 0.007118151 0.005463933 0.009624543 0.0073186625 0.0073687905 0.004962655 0.009073136 0.0073186625 0.015790265 0.0067171287 0.010727354 0.008371347 0.009323776 0.0070178956 0.0073186625 0.0063161063 0.0062659783 0.0069677676 0.007118151 0.007769813 0.0065166173 0.0053135497 0.007519174 0.008220963 0.0062158504 0.0055641886 0.006566745 0.012632213 0.0115294 0.01338413 0.012381573 0.009474159 0.010426587 0.00852173 0.008271092 0.010526843 0.005814828 0.007268535 0.0077196853 0.008471603 0.006867512 0.005463933 0.009524287 0.0070178956 0.010326332 0.0129329795 0.009774926 0.0073186625 0.0076194294 0.0056644445 0.0055641886 0.00691764 0.0067672567 0.0061657224 0.005413805 0.005814828 0.005814828 0.012030678 0.0053135497 0.023910973 0.013334001 0.016441926 0.013885408 0.047521178 0.010075693 0.010476716 0.009373903 0.02676826 0.0059652114 0.009023009 0.020903304 0.01709359 0.025164168 0.028021455 0.01107825 0.0061657224 0.026016342 0.027770815 0.035590757 0.019499725 0.007569302 0.009975437 0.011729911 0.013434257 0.007268535 0.0059652114 0.0042107375 0.0059150835 0.0053135497 0.0059150835 6.34224 0.0 0.0 0.0 3.0 452096.0 475136.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1533304300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 449536.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -449536.0 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 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.913319 0.0 4.216459 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -449296.0 0.0 1500.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 457400.0 1500.0 458752.0 0.0 0.0 0.0 0.0 12.0 466944.0 28.0 457088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0