Input: 0.12272702 0.015085517 0.0069797826 0.007310515 0.008276907 0.0036083786 0.0042810254 0.003121097 0.008143581 0.0026006992 0.0027047787 0.002531026 0.00489045 0.0023301782 0.0023628643 0.006079193 0.006492501 0.002292761 0.00207299 0.0018648307 0.0036143998 0.0022630857 0.0018962267 0.002051916 0.0036857931 0.0017310756 0.0017452682 0.0018398861 0.0028682095 0.0018437568 0.0025065115 0.0023804978 0.007076121 0.002090193 0.0018738625 0.001674305 0.0056504025 0.0019917046 0.0015087237 0.0016476399 0.002493609 0.0018231128 0.0016523708 0.002212766 0.0029847613 0.0020643882 0.0020080477 0.0018377356 0.005332573 0.0031451816 0.0033197943 0.008514311 0.0034320455 0.002557691 0.002450171 0.002509952 0.0035950462 0.0027138104 0.00303035 0.003928789 0.0040122247 0.0028144494 0.0025275855 0.003545587 0.008442058 0.003530104 0.0039378204 0.004593694 0.004513699 0.021310939 0.0035546185 0.002696177 0.0030849702 0.0025013504 0.0024011417 0.0025693031 0.0031808782 0.0045967046 0.0023740465 0.0028608982 0.0069251624 0.0028879931 0.0030372313 0.00648648 0.004694333 0.009393397 0.003791593 0.0029417532 0.0026578999 0.0044212313 0.0026234933 0.003466022 0.0021895417 0.0038629866 0.0029159484 0.0023809278 0.0020699792 0.0040810374 0.0020218103 0.0028260616 0.0056155664 0.006022853 0.0037460045 0.0022626556 0.004795402 0.0039322297 0.003045833 0.0018979469 0.003962335 0.0025030707 0.0041021113 0.0042818855 0.003046693 0.0014889401 0.0041287765 0.0037675085 0.009071266 0.005242256 0.0020828818 0.0020265412 0.0027981063 0.0021009452 0.0016975292 0.0018123608 0.0026093007 0.0029043362 0.0021177183 0.0018433267 0.0055549247 0.0021727686 0.0017564504 0.008010686 0.0036668696 0.0040462012 0.0016876374 0.0015504416 0.0031069044 0.011490471 0.0023736164 0.040677052 0.0022884605 0.0059149023 0.0015143148 0.0016983894 0.0037201997 0.0027202617 0.0016773154 0.0017990284 0.002137072 0.0016915081 0.0014575442 0.0014708766 0.0022454523 0.0017143025 0.0015031327 0.0017241943 0.0018665511 0.0014923806 0.0014928108 0.001387441 0.002031702 0.0026200528 0.0014175466 0.0016485001 0.0017315056 0.0017508593 0.0015728058 0.0016364577 0.0019555779 0.0015332383 0.0016192546 0.0014885099 0.0018269836 0.0014235678 0.001456684 0.0015500116 0.002344801 0.0016033415 0.0019852533 0.0015796871 0.0020218103 0.0014205571 0.002573604 0.0022936214 0.0027086495 0.0023164158 0.002403292 0.0017160227 0.0019276226 0.0014713068 0.0017190333 0.0016300066 0.008210674 0.0023263076 0.0023783473 0.007273528 0.0037558964 0.001504423 0.0035580592 0.003226897 0.0025589813 0.0022222279 0.0016549513 0.0015999009 0.0022691067 0.0014119556 0.0015956 0.0015388294 0.0029533654 0.001674305 0.0028626183 0.0021095467 0.0026789738 0.0017340862 0.0021499745 0.0019185909 0.0039963117 0.00212718 0.0018514983 0.0024970497 0.0025056512 0.001653231 0.0016381781 0.0017521495 0.0029942233 0.0016119431 0.0018428966 0.0015865684 0.0026553194 0.0021998638 0.0015968904 0.0014704466 0.01537066 0.0032742058 0.0017104317 0.0044990764 0.004790241 0.001743548 0.0019465461 0.0018175219 0.005543743 0.0021254597 0.0023908196 0.0021809402 0.005014743 0.0028393941 0.0025331764 0.0023602839 0.0073492224 0.0025267252 0.0024441497 0.002935302 0.010284094 0.0027658502 0.0038715883 0.03301559 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039294912 4.0887367e-06 3.0127535e-06 1.2911801e-06 4.51913e-06 4.734327e-06 2.1519668e-06 2.1519668e-06 6.4559003e-06 1.0759834e-06 3.0127535e-06 1.2911801e-06 3.0127535e-06 1.93677e-06 4.0887367e-06 4.9495234e-06 0.0011495806 1.6785341e-05 1.2696603e-05 1.2911801e-05 1.1405424e-05 4.51913e-05 1.2911801e-05 1.097503e-05 1.07598335e-05 5.1647203e-06 5.81031e-06 4.9495234e-06 7.10149e-06 5.1647203e-06 5.81031e-06 4.9495234e-06 0.005593177 0.00018485394 9.554732e-05 7.639482e-05 0.00019539858 0.0001101807 0.000112332666 9.554732e-05 6.0900657e-05 3.9596187e-05 4.0456973e-05 7.9407575e-05 7.12301e-05 7.295167e-05 0.00013966265 8.39267e-05 0.0057625365 0.00048785086 0.0001224469 9.619291e-05 0.00035421373 0.00019324661 0.00014375137 0.000121155725 6.929333e-05 9.145858e-05 7.79012e-05 9.6623306e-05 8.973701e-05 6.907813e-05 8.5863474e-05 7.166049e-05 0.0146254115 0.0006656033 0.0013602582 0.00033420042 0.0010972879 0.00035830247 0.0035785055 0.0018179815 0.00011835817 9.554732e-05 7.962277e-05 9.791448e-05 0.00013019399 0.00022229816 5.7887904e-05 0.00048182535 0.018323997 0.0011435552 0.0020609386 0.0010191714 0.0013847906 0.0007026171 0.0032965979 0.0018483242 0.0003363524 0.0005892085 0.00037960694 0.00038950596 0.00026167915 0.000815165 0.00024037468 0.0011437703 0.009834918 0.00076674577 0.0009864615 0.0016854203 0.00093438395 0.0006102978 0.0025397511 0.001175189 0.0004925852 0.00025565363 0.00037358142 0.00024188106 0.00032774452 0.00032537736 0.00023542516 0.001250723 0.009547846 0.0009774233 0.0011990758 0.0012995728 0.001290104 0.00069594604 0.0025563212 0.0013593974 0.00047364787 0.00072908634 0.00031246556 0.00030945282 0.0003561505 0.00035184657 0.00027394536 0.002066749 0.018025303 0.0029283962 0.003064831 0.017907592 0.0049538272 0.002314225 0.0051780622 0.0032169751 0.0023891134 0.0021863983 0.0017204974 0.0015915945 0.0017039273 0.001773651 0.001577822 0.003509212 0.014039646 0.0015154149 0.0014357922 0.0013977024 0.0053366623 0.0026363744 0.0037803599 0.0022176018 0.0042434633 0.0009916263 0.00069379405 0.0008487357 0.0015834171 0.00092168734 0.0013004335 0.003773904 0.046067797 0.007151631 0.0059058573 0.006807101 0.02280267 0.017847981 0.008511243 0.008701262 0.036792606 0.003466388 0.002399658 0.004601981 0.010923383 0.005659242 0.013727826 0.029131388 0.040288262 0.0076551912 0.0063259215 0.008661881 0.019621633 0.021228721 0.009433362 0.010230235 0.034618475 0.0036082026 0.0033303837 0.005534428 0.013751928 0.00810818 0.01566761 0.03080734 0.019267203 0.017637089 0.018007658 0.018117838 0.018183043 0.017935783 0.018014329 0.017926743 0.017937934 0.018044457 0.017849702 0.017921364 0.017893173 0.017784068 0.017815487 0.017896831 13490.0 10.5088215 141764.0 0.015229536 0.0029626703 0.0032095595 0.0020668153 0.00672244 0.0020385995 0.0022078948 0.0020174375 0.0043946276 0.0023771902 0.0025817556 0.0026240794 0.0041971165 0.0056361277 0.005868909 0.0045286533 0.014376005 0.011441551 0.01292994 0.020124996 0.0120411385 0.009452329 0.007717051 0.00876104 0.012443216 0.009388844 0.010912502 0.00986146 0.011004204 0.008824525 0.00899382 0.008041534 0.0042676562 0.008986766 0.007956886 0.015645722 0.011914168 0.008133235 0.0085353125 0.007350244 0.007244434 0.0093112495 0.004359358 0.003731554 0.009501707 0.007611241 0.005502102 0.010192997 0.01030586 0.0046767867 0.0076253493 0.013825795 0.018897604 0.006785926 0.0041054147 0.0075548096 0.0045004375 0.006376795 0.0037879858 0.005607912 0.005565588 0.005530318 0.0056149657 0.0075618634 0.003675122 0.03123501 0.0079639405 0.019588895 0.017571457 0.057080783 0.0065390365 0.011695494 0.014629948 0.03141136 0.0040278207 0.0056572896 0.029746622 0.014573516 0.035693124 0.037329648 0.01458057 0.0020456533 0.034077764 0.025782285 0.045787364 0.012817076 0.006214554 0.0062709856 0.008267261 0.006807088 0.0032871533 0.0020738693 0.004366412 0.0018622499 0.0019539515 0.0018410881 6.1134453 17.0 53.0 7.0 9.0 2325144.0 2060288.0 0.0 0.0 543.0 1.0 1.0 1.0 1.0 0.0 1506977700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1249792.0 1024.0 4096.0 9.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -75264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1244160.0 -15360.0 381440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6391654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 -6.485741 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.108733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.551787 -5.2522573 6.531544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72.0 0.0 0.0 -74908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -5288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 263496.0 0.0 0.0 -45832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1243696.0 -14924.0 381440.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -3.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 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 -1.0 3.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -5.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 3.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 1.0 -1.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 3.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 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 -1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -3.0 0.0 2.0 0.0 0.0 3.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 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 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 2.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 1.0 0.0 2.0 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 0.0 -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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 2.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -2.0 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 -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 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14924.0 1572864.0 381440.0 1675264.0 0.0 0.0 14368.0 2310776.0 74908.0 1597440.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1593344.0 0.0 0.0 0.0 0.0 2268.0 1575632.0 0.0 0.0 0.0 0.0


Input: 0.18997203 0.09389069 0.095655955 0.07425351 0.11351215 0.09384931 0.0013398769 0.0015004304 0.0034370034 0.0009418035 0.0011991856 0.0011387712 0.0024016816 0.0013994637 0.0009426311 0.0019134004 0.0023751985 0.000920286 0.0006968353 0.000785388 0.0015476033 0.0016328456 0.00080525025 0.0006364208 0.0012753244 0.00082842296 0.000777112 0.0007522842 0.0011139433 0.0007258011 0.0007100768 0.00086152676 0.0016080177 0.0007241459 0.00089711335 0.00070511125 0.0021956104 0.0009409759 0.0006910421 0.0007249735 0.0010469081 0.00073490466 0.0006910421 0.0009111825 0.0007953191 0.00071586994 0.0009144929 0.0007638705 0.0013862222 0.0010750464 0.0010493909 0.0017528469 0.0011164261 0.0011172537 0.0011230469 0.00096745894 0.001210772 0.0011031845 0.0011338056 0.0017007084 0.0011660819 0.0012670484 0.0010038732 0.0010220802 0.0032814154 0.0014830509 0.003446107 0.0021931278 0.0014863613 0.003141552 0.0017247087 0.0013431872 0.0012662208 0.00087559584 0.0010096664 0.0007547669 0.0010080112 0.0019456766 0.00096414855 0.00080938824 0.003047206 0.0011875993 0.0010510461 0.0013589115 0.0011818061 0.0013779462 0.0016419492 0.0016171213 0.0010162871 0.0010618048 0.0009211136 0.0009765625 0.0010369769 0.0015451205 0.0012927039 0.0015492585 0.0008722855 0.0013572563 0.0009368379 0.0012082892 0.0018505031 0.0049068127 0.0013324285 0.00095090707 0.004617982 0.0014466366 0.0048662606 0.0007555945 0.0011793234 0.00089711335 0.0014325675 0.0013630495 0.0014276019 0.00077214645 0.0050921943 0.0013961534 0.0032392081 0.0028096861 0.001024563 0.0036571438 0.001441671 0.000993942 0.00067117985 0.00076800847 0.0008002847 0.0009492519 0.0009169756 0.0010824947 0.0016998808 0.0009815281 0.0006529727 0.003433693 0.0012902211 0.0025398901 0.0007216631 0.0008143538 0.0014267743 0.0038094213 0.000881389 0.0100048 0.0009235964 0.0042050118 0.00084166444 0.00092690677 0.0009037341 0.00070014567 0.0006984905 0.0010055284 0.0008176642 0.0007522842 0.0007307667 0.000638076 0.0007961467 0.00067945576 0.00071338715 0.0008689751 0.00082759536 0.0006314552 0.0006869041 0.000854906 0.0009070445 0.0011213917 0.0007216631 0.0009575278 0.00083752646 0.0007109044 0.00082511257 0.0006753178 0.00086731993 0.0006620763 0.0007878708 0.0006413864 0.0007829052 0.00087725103 0.0008209746 0.0006960077 0.00083752646 0.0006529727 0.0006926973 0.0006612487 0.0006943525 0.00055200607 0.0006860765 0.00074069784 0.0010858051 0.00070924923 0.0006984905 0.00061738613 0.00071255956 0.0007978019 0.0007274563 0.0007953191 0.0025961667 0.0017991923 0.001515327 0.001462361 0.0013936706 0.00090125133 0.0019663665 0.0022618182 0.0016121557 0.0010055284 0.0008871822 0.00084000925 0.00633607 0.0007572497 0.00093518273 0.0010469081 0.0009914592 0.0008126986 0.0008151814 0.00080111227 0.00084414723 0.0006198689 0.00084000925 0.0008126986 0.0009881489 0.0006976629 0.0006521451 0.00071918033 0.0010055284 0.0006620763 0.00071255956 0.00079118117 0.0011354608 0.0007274563 0.0007539393 0.00074235303 0.0011304952 0.0013655323 0.0007597325 0.00061821373 0.004200874 0.0015062235 0.0006902145 0.0013597391 0.0018041579 0.0006264897 0.0006240069 0.00070345605 0.0019911944 0.0007862156 0.0007903536 0.00073821505 0.001566638 0.0007489738 0.0009749073 0.0010419425 0.0015823623 0.0009749073 0.0007795948 0.0008904926 0.0019415386 0.001554224 0.0025887182 0.016545286 0.48847216 4.1414864e-06 6.6263783e-06 2.8990405e-06 4.9697837e-06 3.3131892e-06 4.555635e-06 4.555635e-06 6.2122294e-06 5.798081e-06 4.1414864e-06 6.6263783e-06 6.6263783e-06 5.383932e-06 5.383932e-06 6.2122294e-06 0.0065083457 1.9050838e-05 1.6565946e-05 2.0707432e-05 1.7808392e-05 1.53235e-05 2.1535729e-05 1.9050838e-05 1.9879135e-05 1.9464986e-05 1.9879135e-05 1.4081053e-05 1.822254e-05 1.822254e-05 1.9879135e-05 1.7394243e-05 0.0062619275 4.265731e-05 4.5142202e-05 3.644508e-05 4.348561e-05 3.892997e-05 3.1889445e-05 2.8162107e-05 4.0172417e-05 3.9344122e-05 3.1475298e-05 2.4848918e-05 3.892997e-05 2.4020621e-05 2.9818702e-05 2.8162107e-05 0.0037828337 2.9404553e-05 2.8576256e-05 2.1535729e-05 3.1061147e-05 2.5677216e-05 2.8576256e-05 1.9050838e-05 3.313189e-05 2.443477e-05 2.8990406e-05 2.6919663e-05 2.733381e-05 3.396019e-05 2.1949878e-05 7.7445795e-05 0.007125013 6.253645e-05 7.827409e-05 8.407218e-05 8.075898e-05 7.247601e-05 0.00022612516 0.00015737649 5.798081e-05 7.081942e-05 7.5789205e-05 6.253645e-05 6.502134e-05 7.081942e-05 6.253645e-05 0.00012962852 0.0066048424 7.537505e-05 8.821366e-05 8.7385364e-05 0.00016731606 0.00010767865 0.00047130114 0.00029735873 8.117314e-05 8.862781e-05 7.040527e-05 6.709208e-05 6.2950596e-05 6.8748675e-05 7.371846e-05 6.957697e-05 0.015668485 7.8688245e-05 7.081942e-05 4.7212947e-05 0.00016068967 6.087985e-05 0.007769014 0.0059496593 0.00014329543 0.0001412247 3.975827e-05 3.8515824e-05 4.555635e-05 4.8041242e-05 5.508177e-05 0.00021742804 0.017954173 0.0004195326 0.00040213834 0.00030191435 0.0010912817 0.00060341455 0.0014681569 0.0008738536 0.00036900645 0.00040959302 0.0004240882 0.00026754002 0.00024973165 0.0002435194 0.00024393355 0.00097159273 0.011671123 0.00026878246 0.0005437772 0.00038971388 0.00059720234 0.00042118918 0.0015828761 0.0010916959 0.0005346659 0.0002878333 0.00031433883 0.00021162996 0.00023233739 0.00017849807 0.0002000338 0.0009823606 0.015774094 0.0005031906 0.0006174956 0.00060258625 0.0010718167 0.000908228 0.0020910364 0.0013836706 0.0006535266 0.0005976165 0.0007226894 0.0005383932 0.0005619997 0.00052472635 0.00062205124 0.0016648775 0.024885364 0.0010991505 0.0015439461 0.0016826859 0.0030576594 0.0014437222 0.0029495666 0.0020189746 0.0013103663 0.0011397371 0.0011641718 0.0010175632 0.0011347673 0.0010175632 0.0012938003 0.002435194 0.015560807 0.0009475721 0.0010333009 0.004493927 0.0014230148 0.0013045683 0.0018570425 0.001401479 0.0020955922 0.0012209102 0.0014420656 0.0010780289 0.0015667243 0.0010573214 0.0011906774 0.0038876133 0.007531293 0.0007226894 0.00060092966 0.0010577356 0.0012130414 0.0010146642 0.00067796133 0.00085438864 0.002108845 0.00053342344 0.0006535266 0.00047544265 0.0017564044 0.0005363225 0.0009297637 0.002234332 0.03440167 0.0057463124 0.0032928959 0.004215205 0.0112789245 0.009585884 0.0044305623 0.006753522 0.020637441 0.0017278282 0.002167654 0.0021291382 0.015108971 0.0030241134 0.007957038 0.015973713 0.0058469507 0.0011509191 0.0015112284 0.001312437 0.0016425136 0.0013004268 0.0013538519 0.0011625153 0.001903013 0.00088006584 0.00093431934 0.00078978145 0.0012925579 0.0009620673 0.0010896251 0.0014648438 0.009090149 0.005280395 0.0051888684 0.004852994 0.00486459 0.004973097 0.005026936 0.005045159 0.005185969 0.005123847 0.0048078517 0.0049221567 0.005162777 0.004961915 0.0049681272 0.0053628106 2511.0 10.404619 26126.0 0.018257674 0.0020286306 0.0053586466 0.002411391 0.006621756 0.0038658807 0.0025644952 0.0038658807 0.0053203707 0.0019138023 0.0027558755 0.0027175993 0.0036745004 0.006545204 0.010679017 0.0060093394 0.013741101 0.011138329 0.011789022 0.010028324 0.011674195 0.009301079 0.008688662 0.007310725 0.008803491 0.008841767 0.010104876 0.007463829 0.010219704 0.007157621 0.009990049 0.008650387 0.009454183 0.00822935 0.0040189847 0.0105641885 0.0060476153 0.0052820942 0.0048610577 0.0052055423 0.0051289904 0.005626579 0.0029089795 0.0030620839 0.0054734745 0.0039041569 0.003942433 0.0030620839 0.008076246 0.0035596723 0.005894511 0.008114522 0.00822935 0.003330016 0.0060858913 0.007884866 0.0045931255 0.0031386358 0.00329174 0.0021817347 0.0035213963 0.002449667 0.0027558755 0.013549721 0.0030620839 0.022582868 0.0063155475 0.018410778 0.01791319 0.06633239 0.009415908 0.007999694 0.03544362 0.023960805 0.051481284 0.004210365 0.018793538 0.01190385 0.023157008 0.02254459 0.012171783 0.002449667 0.07639899 0.020401133 0.05749062 0.009836944 0.0063921 0.03157774 0.006660032 0.0052820942 0.0034831204 0.0022965628 0.0028324274 0.0021434587 0.0022200106 0.0019138023 5.9142737 0.0 14.0 0.0 11.0 1208320.0 1216512.0 1.0 0.0 19.0 0.0 1.0 0.0 0.0 0.0 1017693100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 761856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.657639 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.7646809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.086911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.897062 0.0 6.634223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -814.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 760176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44426.0 0.0 365456.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4097.0 4096.0 4277.0 82028.0 365456.0 847872.0 0.0 0.0 0.0 0.0 0.0 0.0 55.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.060356498 0.004389987 0.0031702225 0.0038572496 0.004238608 0.0029722657 0.0031469336 0.0034584247 0.004046473 0.0044918763 0.0030508663 0.003991162 0.0032313564 0.0031876895 0.0037786493 0.0030217548 0.0040872293 0.0035399364 0.0045559215 0.003842694 0.0030595995 0.0032575566 0.0031236445 0.0035224697 0.0042997417 0.00393585 0.0028325312 0.0039009168 0.0031061778 0.0028587314 0.003734982 0.0033681795 0.0033507128 0.0032080673 0.003024666 0.0029111318 0.0028412647 0.0034962695 0.0029547988 0.0034729803 0.0030363107 0.0028383536 0.0035399364 0.0033681795 0.0043783425 0.0033856463 0.0033972908 0.0033652685 0.0032866679 0.0033419793 0.0035836033 0.004101785 0.0035224697 0.0037902938 0.0038776277 0.0038950944 0.0033914687 0.0031527558 0.0033652685 0.0039387615 0.0034118465 0.003842694 0.0028383536 0.003732071 0.0054554613 0.004084318 0.002998466 0.0038572496 0.0053069936 0.011685283 0.0028005089 0.004456943 0.003682582 0.0047713453 0.0043172087 0.0029664433 0.003551581 0.0045122546 0.0049110795 0.00295771 0.0047655227 0.0042094965 0.0044423873 0.0032371785 0.003912561 0.0036738485 0.0032400899 0.0038543385 0.0040290067 0.0029489766 0.0031585782 0.0034118465 0.0032983124 0.0032924903 0.0030945332 0.0040057176 0.0032138897 0.0035603142 0.0034700693 0.0030857997 0.003956228 0.0038514275 0.0039998954 0.002980999 0.003423491 0.0033448904 0.004157096 0.003312868 0.003222623 0.003112 0.0049547465 0.0037000487 0.003484625 0.0028150645 0.00357487 0.0030887108 0.003423491 0.0042764526 0.0037611823 0.003799027 0.0031003554 0.0028587314 0.0034060243 0.0034584247 0.0037844714 0.0030363107 0.0037437156 0.003668026 0.0041658296 0.004506432 0.0044249203 0.004829568 0.0035690477 0.0036971376 0.00342058 0.0034700693 0.0036913152 0.0043812534 0.004014451 0.006107555 0.0033390683 0.0049809464 0.0031469336 0.0028791095 0.0040319175 0.0044889655 0.0035282918 0.0040115397 0.003557403 0.0038543385 0.0034526023 0.0037786493 0.0033594463 0.0033419793 0.004675278 0.0038543385 0.0034584247 0.003374002 0.0036942263 0.0030770665 0.0030595995 0.0034293134 0.0028354425 0.003426402 0.0029547988 0.002940243 0.0032750233 0.0028878427 0.0029955546 0.0042648083 0.0037844714 0.004157096 0.003551581 0.0032284453 0.0032400899 0.0032313564 0.0035137362 0.0031556669 0.0028820205 0.0041425405 0.0037873825 0.0032080673 0.0034118465 0.0029780879 0.00455301 0.0038339607 0.0039154724 0.003112 0.0035777811 0.0037204265 0.003557403 0.003312868 0.003531203 0.0035952479 0.0037611823 0.0037378934 0.002998466 0.0029169542 0.01118748 0.0033885576 0.0034671582 0.003047955 0.002870376 0.0038281383 0.0061453995 0.0042211413 0.002893665 0.0035137362 0.0042997417 0.0040552067 0.0031498447 0.0028296201 0.0038514275 0.0027801308 0.0031207334 0.0046985666 0.003068333 0.003662204 0.0034671582 0.0033390683 0.0039620507 0.0043666977 0.0035195583 0.0029082207 0.00450061 0.0028761984 0.0038805387 0.0030887108 0.003423491 0.0032924903 0.003956228 0.0035952479 0.004969302 0.0034962695 0.0037262489 0.0034526023 0.0041658296 0.0038747166 0.0039445837 0.0029053097 0.0039649615 0.0032109783 0.0031003554 0.004107607 0.0032779344 0.0033594463 0.0032866679 0.0034060243 0.0035690477 0.003507914 0.003004288 0.003333246 0.004590855 0.003947495 0.0037029597 0.0066373805 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 0.051692028 0.053969696 0.04975498 0.055041283 0.05137333 0.05158238 0.051379174 0.052292876 0.054294243 0.056472503 0.05111749 0.054577857 0.051696412 0.054516457 0.0541232 0.050427467 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343509.0 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: 0.13342266 0.0104915295 0.0057065603 0.004776119 0.010784713 0.0033738185 0.0034390932 0.0023449117 0.010388086 0.0017801193 0.0019455189 0.0017048874 0.006137484 0.0025772455 0.0013303875 0.0057640905 0.005682774 0.0016053158 0.0006367052 0.00074955303 0.0029937867 0.006062252 0.0015212331 0.0011644348 0.0027531553 0.0016307619 0.000544878 0.00081538095 0.002670179 0.0006062805 0.0005000708 0.0008021047 0.003551941 0.00041543492 0.00083529524 0.0004796033 0.0023620601 0.0017264612 0.00040769047 0.00040658412 0.0012794953 0.0004043714 0.00037394676 0.0011699665 0.0011494991 0.0007141498 0.00058525987 0.00038777615 0.0054991194 0.003990609 0.0049675177 0.0077450126 0.0048972643 0.0056097545 0.002518609 0.00536857 0.0033754779 0.0031873982 0.0019936452 0.0044480856 0.0021994265 0.001842075 0.0019875602 0.0049962825 0.020185933 0.008188106 0.0038495495 0.0037228724 0.0028577056 0.01349638 0.0040221405 0.0014531924 0.003082848 0.0018819036 0.020338057 0.00069921406 0.0029202143 0.0075364653 0.0023819744 0.0012828144 0.010821222 0.005094748 0.003974567 0.004944837 0.0028588118 0.007922029 0.007305791 0.0051882346 0.0022154686 0.001668931 0.0029556176 0.0021468748 0.001476979 0.005961574 0.003955759 0.0067719766 0.0012811548 0.007912071 0.001130138 0.005709326 0.0068201027 0.01232918 0.0027979626 0.0025108643 0.0044890204 0.00948641 0.0055616284 0.0005249637 0.0058819167 0.0034213916 0.006229311 0.008080237 0.0032642896 0.00040547777 0.009593725 0.0039336323 0.014438438 0.010427361 0.0009448241 0.00080321106 0.0025562248 0.001436044 0.000500624 0.00037837215 0.0020290483 0.0023117212 0.0017989273 0.0016224643 0.0026159678 0.0018802441 0.0004043714 0.010066691 0.0030800821 0.008093514 0.0013447701 0.0007263197 0.002062239 0.011688049 0.0012756231 0.03954819 0.002481546 0.014858299 0.0012983033 0.0010925219 0.001542807 0.00040824365 0.00047019933 0.0008297635 0.001420002 0.001968199 0.0006815124 0.00050560257 0.0014332782 0.00073351094 0.00040658412 0.00046466757 0.001130691 0.0009735892 0.0006389179 0.00046964615 0.0028632372 0.011419205 0.0013829392 0.0040420545 0.0023792086 0.0006250885 0.00065440685 0.00041986033 0.0015959118 0.00042815797 0.002521928 0.0006654703 0.004710844 0.0004226262 0.00023565284 0.00036786182 0.002506992 0.0003529261 0.0002727156 0.00030867202 0.0009470367 0.00065219414 0.00071525614 0.0011566903 0.0020445373 0.00072576647 0.0005692178 0.00042815797 0.00095644075 0.0009658447 0.0006942355 0.0006427901 0.0063316487 0.0027880054 0.0035132186 0.003665342 0.0043120044 0.001177711 0.0037333826 0.005714858 0.0026690727 0.0015582959 0.0005913448 0.0009409518 0.027662655 0.000840827 0.0021513002 0.0012308159 0.0022978918 0.0006273012 0.0017939487 0.00082921033 0.0008026579 0.0002937363 0.0008203595 0.0008458056 0.0018144161 0.0006798529 0.00043756195 0.0010659695 0.0012302627 0.0017071001 0.00040547777 0.0004641144 0.0018409686 0.0005553884 0.0006273012 0.00040105236 0.0011561372 0.0022481058 0.00047296518 0.00041100953 0.009340924 0.0024439301 0.00041488174 0.0031691433 0.0049924105 0.00035679832 0.0004867946 0.00045636992 0.0038943568 0.0014399163 0.00048126283 0.00046300804 0.0027974094 0.00037615944 0.0019571355 0.0011218402 0.0031409315 0.0014415758 0.0009962694 0.001020056 0.0064605386 0.0018581171 0.004779438 0.05677795 0.015277889 1.9376241e-06 1.1072137e-06 3.321641e-06 2.4912308e-06 5.5360687e-07 2.7680343e-07 2.7680343e-07 2.7680343e-07 5.5360687e-07 5.5360687e-07 0.0 8.304103e-07 8.304103e-07 5.5360687e-07 1.4670582e-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 0.001047701 6.9200855e-06 8.027299e-06 1.4670582e-05 6.643282e-06 4.428855e-06 5.812872e-06 3.8752482e-06 2.7680344e-06 1.6608205e-06 2.7680343e-07 1.9376241e-06 2.7680344e-06 8.304103e-07 1.3840172e-06 2.4081899e-05 0.0012345433 6.366479e-06 7.4736927e-06 0.00042101802 6.366479e-06 4.428855e-06 2.4912308e-06 2.7680343e-07 1.9376241e-06 1.1072137e-06 2.7680343e-07 5.5360687e-07 1.1072137e-06 2.7680343e-07 1.1072137e-06 1.13489405e-05 0.009441765 3.6814858e-05 9.68812e-06 0.00851392 9.68812e-06 3.0448377e-06 9.134513e-06 4.1520516e-06 6.0896755e-06 3.0448377e-06 1.13489405e-05 6.366479e-06 3.321641e-06 5.536069e-06 3.8752482e-06 7.27993e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016303444 0.0005558213 0.0010407809 0.009131468 0.02955541 0.013868959 0.043394472 0.020214954 0.0002095402 0.0006056459 0.0017873198 0.0002017897 0.00013286565 0.00015750116 0.00013950893 0.0021562986 0.014436959 0.00048911164 0.0004190804 0.0046705045 0.011169572 0.0047150697 0.01130742 0.005377183 0.0006856421 0.00047444107 0.0022207939 0.00030060852 0.00034462026 0.00027735703 0.00037396143 0.0016945906 0.0051903413 0.00027569622 0.00087414525 0.0014975065 0.003107672 0.0018185985 0.0048925006 0.002652884 0.00018518149 0.0003305033 0.00046198492 0.00013175844 0.0001771542 0.0001777078 0.0002493999 0.00065270247 0.01422133 0.0025814688 0.0022551175 0.021884633 0.0041365502 0.003028783 0.0046777013 0.0033830914 0.0026758588 0.0019135422 0.0025452075 0.0016450428 0.003385029 0.0016162553 0.0018094641 0.002503964 0.01320463 0.004131568 0.0012314984 0.001548992 0.0029988883 0.002303835 0.002106474 0.002262868 0.0045586755 0.0014742551 0.0013903836 0.001081471 0.0029617967 0.0010989096 0.0015622786 0.004269416 0.07491131 0.013759068 0.0063855783 0.010272729 0.028253604 0.0303634 0.010407809 0.0139281945 0.060642924 0.0058895466 0.015753437 0.006549446 0.040058717 0.007073435 0.015714131 0.051760025 0.040484715 0.008829475 0.0039408505 0.0066247364 0.018662088 0.019148154 0.0073006903 0.008575093 0.03356214 0.0033520896 0.010545657 0.003989568 0.021832317 0.0056813904 0.009496018 0.025866173 8.3594634e-05 3.958289e-05 4.761019e-05 4.8994207e-05 2.5465915e-05 3.4877234e-05 7.335291e-05 5.1762243e-05 2.7957147e-05 1.6054599e-05 2.5189112e-05 1.688501e-05 1.6054599e-05 1.688501e-05 2.2974684e-05 1.9653044e-05 9977.0 34.2608 341820.0 0.006187467 0.00032765782 0.00025451992 0.00022819027 0.0013983968 0.0004095723 0.00054414605 0.00023696682 0.001149728 0.00029840268 0.0003218068 0.00031595575 0.0010531859 0.0016382892 0.0015212685 0.00035398747 0.009218302 0.008794102 0.012696741 0.0052044936 0.009387982 0.019738458 0.0043912 0.01971213 0.004973378 0.003955298 0.003393599 0.0036539698 0.0036920016 0.0029108888 0.0029781756 0.019720906 0.09139021 0.03613598 0.013726523 0.016224913 0.008168042 0.01738927 0.009127611 0.0014978644 0.007348897 0.006383477 0.000985899 0.0010414838 0.0036685974 0.0037826926 0.003972851 0.0021151484 0.010078404 0.0063366685 0.004481891 0.011485578 0.006997835 0.014089286 0.013194079 0.007585864 0.007065122 0.000532444 0.0141682755 0.00045638054 0.0029225908 0.00046223158 0.0004680826 0.021836054 0.00084547425 0.039506175 0.0046369433 0.028731497 0.017146451 0.062058978 0.0048417295 0.011930256 0.005587736 0.04785852 0.0008688784 0.001512492 0.025765022 0.01640337 0.030714996 0.04076122 0.0074746944 0.000634837 0.047615703 0.017374642 0.04789363 0.028564742 0.0024662104 0.0011526535 0.0041337544 0.0045404015 0.0009829735 0.00020186063 0.00090691005 0.00039787023 0.00036568954 0.0003422854 5.511338 0.0 12.0 0.0 5.0 1807744.0 1818624.0 0.0 4416.0 807.0 1.0 1.0 1.0 0.0 0.0 1458241000.0 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 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 10.0 0.0 5.0 1.0 5.0 1.0 1148416.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 546816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1148416.0 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 -6.2347956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8486896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.057044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.507854 0.0 4.050874 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84158.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 546476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1148363.0 0.0 1520.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 2.0 2.0 2.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 2.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 2.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 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 1.0 -1.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -3.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -3.0 0.0 -2.0 -1.0 1.0 0.0 -1.0 -1.0 2.0 -1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 2.0 -1.0 0.0 -3.0 -1.0 0.0 -2.0 0.0 -2.0 1.0 -1.0 0.0 1.0 2.0 1.0 -1.0 -1.0 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 1.0 1.0 0.0 -1.0 1.0 1.0 -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 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -2.0 1.0 -1.0 0.0 -3.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 2.0 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 1.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -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 -1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 -2.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 -2.0 -5.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 -1.0 1.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 -2.0 0.0 -1.0 -2.0 2.0 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 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 1.0 -1.0 1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 2.0 2.0 0.0 0.0 -3.0 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 0.0 1.0 2.0 1.0 -1.0 0.0 0.0 -2.0 2.0 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 1.0 3.0 -1.0 -2.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 -1.0 0.0 -1.0 2.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -8.0 -6.0 -5.0 7.0 6.0 6.0 5.0 11.0 5.0 -7.0 6.0 1.0 2.0 -2.0 6.0 2.0 -2.0 -1.0 5.0 8.0 -1.0 7.0 -3.0 8.0 2.0 1.0 -6.0 -3.0 3.0 -3.0 0.0 0.0 -1.0 7.0 -7.0 4.0 3.0 2.0 6.0 1.0 -4.0 -2.0 -2.0 -2.0 3.0 4.0 0.0 4.0 -5.0 2.0 -12.0 -11.0 -13.0 5.0 -3.0 -2.0 -2.0 3.0 -9.0 1.0 -3.0 2.0 -1.0 3.0 2.0 2.0 -8.0 0.0 -7.0 -2.0 -2.0 7.0 2.0 -3.0 -16.0 -4.0 -6.0 -7.0 -7.0 6.0 1.0 -3.0 -6.0 -3.0 1.0 5.0 9.0 -12.0 3.0 4.0 8.0 9.0 6.0 7.0 3.0 7.0 2.0 12.0 0.0 4.0 0.0 5.0 -2.0 -9.0 4.0 1.0 2.0 7.0 13.0 2.0 0.0 0.0 1.0 4.0 8.0 -3.0 3.0 5.0 -7.0 -2.0 -2.0 10.0 -6.0 0.0 -1.0 6.0 9.0 -9.0 298572.0 1402976.0 100.0 1366036.0 1520.0 1728512.0 0.0 0.0 5504.0 1802240.0 72212.0 1732608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1281208.0 0.0 0.0 3244.0 1155072.0 0.0 0.0 0.0 0.0


Input: 0.051648892 0.0040630973 0.0040357113 0.0038415194 0.003844009 0.0040145493 0.0036734685 0.00369712 0.003731975 0.0036834269 0.0036361236 0.0037929711 0.0038377848 0.0037618508 0.0036921408 0.0036585305 0.00369712 0.003585086 0.0036361236 0.0036162066 0.0037406888 0.003600024 0.0036162066 0.0036435926 0.0036772029 0.0036809372 0.0036734685 0.0034929693 0.003500438 0.0036547962 0.0036099826 0.003607493 0.0037705644 0.003634879 0.0036834269 0.003571393 0.0037357095 0.0036784476 0.00362741 0.0035626793 0.0037369542 0.0037108131 0.0036311445 0.004017039 0.003731975 0.0039025156 0.0036647546 0.003530314 0.0037568714 0.0035763723 0.0036635099 0.0036610202 0.0037257508 0.0035626793 0.0038116435 0.003662265 0.0036547962 0.003563924 0.0036087376 0.0037705644 0.0036236756 0.0036323892 0.0035900653 0.0035527206 0.003745668 0.0036610202 0.0036460822 0.003619941 0.0038514778 0.006326183 0.0037419335 0.0037045889 0.0036734685 0.003759361 0.003536538 0.003641103 0.0036709788 0.0037369542 0.003759361 0.0037568714 0.0038240917 0.0034556247 0.0037568714 0.0036547962 0.0037742988 0.0038452537 0.0037157922 0.0035913102 0.0037406888 0.0036547962 0.0037419335 0.0037008545 0.0037070785 0.0037543818 0.0036572856 0.0039137187 0.0036174513 0.003863926 0.0037083235 0.003648572 0.00380044 0.0038514778 0.003600024 0.0037531368 0.0036871615 0.0037543818 0.0037108131 0.0036809372 0.003815378 0.00376683 0.0036261652 0.0038676604 0.0037556265 0.0036734685 0.0039249226 0.003957288 0.0040369565 0.003829071 0.0037904815 0.0036684892 0.003578862 0.0036112273 0.003577617 0.0035938 0.0037655851 0.0040195286 0.0036921408 0.0035203553 0.0036423479 0.0039012707 0.0036261652 0.0038539674 0.0037693197 0.0036336342 0.0036535512 0.00362741 0.0036124722 0.004395465 0.0037444232 0.004857294 0.0037568714 0.0037120578 0.00376683 0.003641103 0.0038315607 0.0036224306 0.0037369542 0.0035626793 0.0037344645 0.0037070785 0.0037332198 0.0036547962 0.0036323892 0.0036821822 0.0037207715 0.0037469128 0.003621186 0.0036635099 0.0036174513 0.0035626793 0.00369712 0.00369712 0.0036523065 0.0036423479 0.0037357095 0.0036684892 0.0036647546 0.0035029277 0.0036908959 0.0035552103 0.0037394438 0.0035801067 0.0037120578 0.0036647546 0.0036896511 0.0036659995 0.0036224306 0.0035701483 0.0037182819 0.0037033441 0.0037145475 0.003675958 0.0035614343 0.0036460822 0.0038477434 0.0035489863 0.0035900653 0.0036398582 0.0037693197 0.003571393 0.00369712 0.003500438 0.0037568714 0.0036709788 0.0036809372 0.0037581162 0.0038539674 0.0036174513 0.0036958752 0.0039498187 0.0038452537 0.0036323892 0.0035489863 0.003592555 0.0038763743 0.0037033441 0.0035552103 0.0037556265 0.0036012686 0.0036859165 0.0037133025 0.003675958 0.0037294854 0.003529069 0.0037419335 0.0036423479 0.0038552124 0.003634879 0.0035962895 0.003773054 0.003815378 0.0037282405 0.0037033441 0.0036323892 0.0038390297 0.0035477413 0.0036647546 0.0036498168 0.0037904815 0.0037083235 0.0035801067 0.0036946302 0.0039112293 0.0036610202 0.0036523065 0.0036946302 0.0038825984 0.0036572856 0.0036186962 0.0036597752 0.0038664157 0.0037195268 0.0037394438 0.003544007 0.0038178677 0.0035738826 0.0037643404 0.0036597752 0.0039585326 0.0036435926 0.0037257508 0.003621186 0.004023263 0.0037083235 0.003565169 0.004023263 0.03701521 1.2472062e-06 4.988825e-06 1.2472062e-06 4.3652217e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3652217e-06 0.0 6.236031e-07 4.988825e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00092605065 4.988825e-06 8.106841e-06 1.2472063e-05 0.00015028835 5.4253473e-05 8.543363e-05 3.055655e-05 0.0 0.0 1.8708093e-06 6.236031e-07 0.0 6.236031e-07 1.2472062e-06 6.236031e-07 0.0009347811 1.0601253e-05 1.4966475e-05 9.354047e-06 2.2449713e-05 2.0578904e-05 5.612428e-05 3.3050965e-05 8.730443e-06 8.106841e-06 4.3652217e-06 7.4832374e-06 0.00011786099 7.4832374e-06 5.612428e-06 1.5590078e-05 0.00088614004 1.4342872e-05 1.6837284e-05 1.8708093e-05 8.730444e-05 1.8708093e-06 2.4944125e-06 4.1157808e-05 7.0467155e-05 1.5590078e-05 1.4342872e-05 1.4966475e-05 2.4944125e-05 1.6213682e-05 2.5567728e-05 2.6191332e-05 0.00076890265 2.182611e-05 1.1224856e-05 1.6837284e-05 0.00016525482 5.98659e-05 0.00012846224 6.360752e-05 1.6837284e-05 3.1180157e-06 3.7416187e-06 1.8708093e-06 3.1180157e-06 1.8708093e-06 8.730443e-06 1.8708093e-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 0.0011262272 4.552303e-05 3.8663395e-05 4.1781408e-05 0.00017024366 0.00012970946 0.00042467372 0.0002394636 4.552303e-05 4.2405012e-05 4.365222e-05 3.99106e-05 3.99106e-05 4.7393838e-05 4.365222e-05 3.5545378e-05 0.0010407936 4.365222e-05 5.1135456e-05 2.806214e-05 0.0002008002 0.000111001355 0.000359819 0.00022512073 0.00010289452 1.4342872e-05 2.0578904e-05 3.367457e-05 0.000157148 3.3050965e-05 6.984355e-05 6.236031e-05 0.00042217932 2.3696919e-05 3.99106e-05 2.806214e-05 0.00018957535 8.730443e-06 1.2472063e-05 8.2939216e-05 0.0001596424 2.4944125e-05 3.180376e-05 4.0534203e-05 6.360752e-05 3.99106e-05 4.8017442e-05 6.11131e-05 0.0041238875 0.00030244753 0.0005194614 0.00035420657 0.0024788224 0.00031616678 0.00016650204 0.0010913055 0.0025948125 0.0001384399 0.00020204742 0.00040721285 0.0008063188 0.0005518888 0.0010863167 0.001462973 0.001091929 0.00016774924 0.00016276042 0.00016400762 0.00021389587 0.00017710328 0.00025380647 0.00024320521 0.00018832815 0.00016774924 0.00016400762 0.00015777159 0.00016650204 0.00016712563 0.00017336167 0.00017211447 0.05872907 0.05749434 0.058421634 0.05784979 0.058251392 0.0587166 0.058352415 0.058025647 0.05812293 0.05852453 0.058181547 0.057773713 0.05821834 0.058301903 0.057848543 0.05822208 3581.0 5.9198546 21199.0 0.009811783 0.0108967405 0.009292891 0.00834945 0.009858956 0.010047643 0.009764612 0.010047643 0.009575923 0.009717439 0.010377848 0.009717439 0.009057031 0.009198547 0.011179772 0.01018916 0.01042502 0.009009859 0.0095287515 0.01066088 0.009858956 0.009198547 0.009104203 0.008207934 0.009104203 0.010566536 0.008538139 0.0099533 0.009434408 0.010000472 0.0099533 0.01018916 0.010094816 0.011462805 0.0095287515 0.010472192 0.012547762 0.011415632 0.009292891 0.011651493 0.009811783 0.0136327185 0.009340064 0.008726827 0.010472192 0.010283504 0.010755224 0.009623095 0.0113212885 0.008962687 0.010472192 0.0113212885 0.010472192 0.009717439 0.010047643 0.010566536 0.012217557 0.009151375 0.010566536 0.0095287515 0.010094816 0.01018916 0.0095287515 0.012783621 0.010047643 0.014670503 0.009151375 0.011651493 0.011887353 0.015802633 0.009245719 0.011840181 0.010000472 0.01273645 0.010566536 0.010613708 0.012217557 0.011604321 0.012217557 0.0126892775 0.010802397 0.009858956 0.014010095 0.012783621 0.013585546 0.009858956 0.010849568 0.008821171 0.009292891 0.010094816 0.009198547 0.009670268 0.009575923 0.009811783 0.009858956 0.00811359 6.5724144 1.0 0.0 0.0 9.0 803328.0 7577600.0 0.0 0.0 78.0 0.0 1.0 0.0 0.0 0.0 1461547100.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 10.0 5.0 0.0 41984.0 1024.0 4096.0 6.0 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 2560.0 0.0 0.0 0.0 0.0 0.0 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 -463872.0 243712.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1188107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.110338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999543 5.263382 0.0 1.2818598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2394.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6757916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -463408.0 243628.0 0.0 9984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 49500.0 1792.0 7565312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0011160715 0.0011160715 0.0 0.0 0.001953125 0.0025111607 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0013950893 0.0033482143 0.00027901787 0.0055803573 0.0011160715 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0027901786 0.005859375 0.006417411 0.0008370536 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.025146484 0.03491211 0.033935547 0.03491211 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.011494253 0.011494253 0.0 0.0 0.007662835 0.019157087 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.01532567 0.0 0.0038314175 0.053639848 0.01532567 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03448276 0.053639848 0.019157087 0.0038314175 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.2859874 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1555521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.5508423 0.0066833496 0.0026245117 0.0016784668 0.0026855469 0.00076293945 0.0007019043 0.000579834 0.0019836426 0.00045776367 0.00045776367 0.00048828125 0.0024108887 0.0012817383 0.0014038086 0.0015258789 0.0043945312 0.0019836426 0.000579834 0.0002746582 0.0014953613 0.00033569336 0.00021362305 0.0002746582 0.00048828125 0.0005187988 0.00061035156 0.00030517578 0.0009765625 0.0004272461 0.00076293945 0.0008544922 0.0015869141 0.00018310547 0.00018310547 0.00045776367 0.0004272461 0.0034484863 0.00030517578 3.0517578e-05 0.00064086914 0.00015258789 0.00018310547 0.00088500977 0.0002746582 0.00036621094 0.00079345703 0.00018310547 0.0010986328 0.0009765625 0.0010986328 0.0018920898 0.0010681152 0.00048828125 0.00048828125 0.00012207031 0.00064086914 0.000579834 0.0009765625 0.0007019043 0.0007019043 0.00021362305 0.00024414062 0.00036621094 0.012145996 0.0010375977 0.0007324219 0.0015258789 0.0010986328 0.0115356445 0.0012207031 0.000579834 0.0019836426 0.001373291 9.1552734e-05 0.00021362305 0.0015563965 0.0050964355 0.0006713867 0.0008239746 0.009887695 0.00061035156 0.0005493164 0.0030212402 0.001159668 0.0013122559 0.0033569336 0.0015869141 0.0014343262 0.0005493164 0.0007019043 0.0012207031 0.0012512207 0.0010375977 0.00061035156 0.009155273 0.0019226074 0.0071105957 0.004760742 0.001159668 0.0040893555 0.0047912598 0.0043945312 0.000579834 0.002960205 0.0020141602 0.0032043457 0.0005493164 0.0024108887 0.0018310547 0.0019836426 0.0026855469 0.0020141602 0.0002746582 0.005340576 0.0018920898 0.0047912598 0.0030517578 0.0043945312 0.00045776367 0.0012817383 0.0008239746 0.00033569336 0.00012207031 0.00061035156 0.00061035156 0.00036621094 0.00030517578 0.0025939941 6.1035156e-05 0.00015258789 0.0015869141 0.00088500977 0.0028686523 0.00012207031 9.1552734e-05 0.0010681152 0.005706787 0.00018310547 0.005706787 0.00091552734 0.011993408 0.00024414062 0.00039672852 0.00033569336 0.00012207031 0.00033569336 0.0002746582 0.00021362305 0.00021362305 0.00021362305 0.00015258789 0.00039672852 0.00048828125 0.00012207031 0.00021362305 0.00076293945 0.00045776367 0.00024414062 0.00015258789 0.00061035156 0.00079345703 6.1035156e-05 0.0004272461 0.00039672852 0.00088500977 0.0004272461 0.00033569336 0.00021362305 0.00018310547 0.00033569336 9.1552734e-05 0.0018615723 0.00033569336 0.00012207031 0.00015258789 0.0008239746 0.00012207031 0.00015258789 0.00012207031 0.0010070801 0.00033569336 0.00012207031 0.00030517578 0.0010070801 0.00018310547 0.0005493164 9.1552734e-05 0.0018005371 0.00024414062 0.0005187988 0.0005493164 0.0021362305 0.0008239746 0.0007324219 0.0013122559 0.0021972656 0.00039672852 0.0008239746 0.0024719238 0.004760742 0.0043945312 0.009735107 0.006072998 0.0042419434 0.0030212402 0.011993408 0.004638672 0.0068359375 0.004547119 0.004333496 0.0027770996 0.003326416 0.0006713867 0.002105713 0.00064086914 0.0007019043 0.00079345703 0.0010375977 0.0019836426 0.0039367676 0.002532959 0.0022583008 0.0031738281 0.0043029785 0.0011901855 0.00033569336 0.00091552734 0.0018005371 3.0517578e-05 0.0002746582 9.1552734e-05 0.0107421875 0.0005187988 0.00012207031 0.00064086914 0.001739502 0.00015258789 0.000579834 0.00018310547 0.000579834 0.00015258789 0.00024414062 9.1552734e-05 0.00061035156 0.00018310547 0.0005187988 0.00021362305 0.002105713 0.00030517578 0.00024414062 0.00088500977 0.0013122559 0.00048828125 0.00036621094 0.04714966 0.16129032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06013735 3.1502015e-05 0.0 0.00012600806 0.00026776714 0.00047253023 0.0007245464 0.0005355343 0.0 0.0 3.1502015e-05 1.5751008e-05 9.4506046e-05 0.0 0.0 0.0020791332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029233871 0.00047253023 0.00029926916 7.875504e-05 0.00031502015 0.0002047631 0.0005197833 0.00029926916 0.00029926916 3.1502015e-05 0.00012600806 0.00015751008 0.00011025705 1.5751008e-05 3.1502015e-05 6.300403e-05 0.0508285 0.0005670363 0.00034652217 0.0010553176 0.0004095262 0.0004095262 0.0011813256 0.00086630543 0.0007717994 3.1502015e-05 0.0 0.00026776714 0.0004095262 3.1502015e-05 0.00025201612 0.007087954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06508317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018901209 0.0 0.0 0.0 0.034321446 0.024886593 0.004552041 0.0 0.042858493 0.0017168599 0.00075604836 0.0015908518 0.0025359122 0.00092930946 0.0033077118 0.0017011089 0.0010395666 0.00014175907 0.00018901209 0.0003937752 0.00047253023 0.00025201612 0.0006142893 0.006016885 0.037881173 0.0016381048 0.0012600806 0.0007717994 0.0036857359 0.003937752 0.007985761 0.003874748 0.00026776714 0.00048828125 0.00045677923 0.00028351814 0.00029926916 0.00023626511 0.00023626511 0.0012128276 0.019799016 0.0017011089 0.0011183216 0.0010553176 0.0026146674 0.00042527722 0.0011655746 0.0007245464 0.0003622732 0.00017326108 0.0002205141 0.00015751008 0.00031502015 0.00025201612 0.0004410282 0.0017326109 0.030446699 0.00094506046 0.0004410282 0.00094506046 0.0034494707 0.003953503 0.008600051 0.005213584 0.00028351814 0.0002047631 0.0002205141 0.00015751008 0.0047568046 0.0028981855 0.0011970766 0.0008033014 0.013341104 0.00031502015 0.00034652217 0.00075604836 0.0010080645 0.0015120967 0.0026461694 0.001811366 0.00026776714 0.00017326108 0.00023626511 0.00018901209 0.004567792 0.003811744 0.0007402974 0.0005355343 0.020492062 0.0030556957 0.0023784023 0.0017326109 0.0061901463 0.0061271423 0.008946572 0.0046938006 0.001905872 0.0008820564 0.00085055444 0.00085055444 0.0011655746 0.0005512853 0.00086630543 0.003827495 0.008001512 0.00047253023 0.00026776714 0.0004410282 0.0028509325 0.003638483 0.001953125 0.0013388357 0.0037487398 0.0004410282 0.0005670363 0.00085055444 0.001968876 0.0006300403 0.0013230847 0.0037644908 0.026540449 0.003575479 0.0029139365 0.0034022178 0.019389492 0.016837828 0.010395666 0.0061743953 0.02625693 0.002252394 0.004441784 0.0047095516 0.013089088 0.009419103 0.014097152 0.030052923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 178.0 12.488764 2223.0 0.0044984254 0.00044984257 0.0 0.0 0.0 0.0 0.0 0.0 0.00044984257 0.00044984257 0.0 0.0 0.0 0.0 0.0058479533 0.0 0.0013495276 0.0076473234 0.010796221 0.0058479533 0.0035987406 0.0 0.004048583 0.0 0.0017993703 0.00044984257 0.00044984257 0.0 0.0 0.00044984257 0.0 0.0 0.00044984257 0.008996851 0.0044984254 0.018443545 0.0058479533 0.008097166 0.011246064 0.0022492127 0.0013495276 0.012595591 0.0 0.0013495276 0.012595591 0.011246064 0.0035987406 0.0076473234 0.0035987406 0.00044984257 0.0035987406 0.023841655 0.0076473234 0.0026990552 0.028789924 0.0013495276 0.0 0.0 0.0 0.0 0.004048583 0.0 0.0 0.12730545 0.00089968514 0.09851552 0.058929376 0.012145749 0.031039136 0.05443095 0.0076473234 0.0031488978 0.0022492127 0.019793073 0.010346379 0.0044984254 0.023391813 0.023841655 0.020692758 0.031488977 0.010346379 0.0013495276 0.06927575 0.019793073 0.046333782 0.010346379 0.061178587 0.0013495276 0.0058479533 0.009446694 0.0 0.0 0.0 0.0 0.0 0.0 4.9303274 1.0 0.0 0.0 1.0 32768.0 32768.0 0.0 0.0 85.0 0.0 1.0 0.0 0.0 0.0 1542983700.0 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 3132.0 3123.0 6.0 0.0 4.0 0.0 4.0 0.0 20480.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5693765 0.0 3.1049557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19620.0 0.0 2228.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 21876.0 2228.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 400.0 4096.0 0.0 0.0 0.0 0.0