Input: 0.046333034 0.10910572 0.0033949607 0.003338719 0.0029177575 0.0023519306 0.002518952 0.0024985003 0.0020877644 0.0017878081 0.0026791557 0.0018951789 0.0019088133 0.00248657 0.0030421712 0.0018253027 0.0019071089 0.0020519742 0.0020281142 0.0032944072 0.0020298185 0.0018934746 0.0018866574 0.0015849967 0.001620787 0.0015747709 0.0013787767 0.0013310564 0.0015832924 0.0013958197 0.0012339114 0.0011759653 0.0021866139 0.0014708088 0.0012458415 0.0011606266 0.0012032341 0.0011844868 0.0009748582 0.0011009763 0.0018474585 0.0010702988 0.0012986747 0.0010532559 0.0014026369 0.0012611802 0.0016923675 0.0012884489 0.0018883616 0.0012475458 0.0011418794 0.0012952661 0.0012407287 0.0011214277 0.0011878954 0.0011180192 0.0013412822 0.0010362129 0.0011861911 0.0010754118 0.0011265407 0.0014486529 0.0011759653 0.0012526587 0.0019803937 0.001936082 0.0017230448 0.0023604522 0.001792921 0.0016616901 0.0018696145 0.0017025933 0.0019275605 0.0026706343 0.0020247055 0.0018832488 0.0018150769 0.0017963296 0.0017520179 0.0019156304 0.0025053173 0.0020025496 0.0018645015 0.0023110274 0.0023962425 0.0021985439 0.0022990974 0.0023604522 0.0024371454 0.0026996073 0.0027541448 0.0028086824 0.0026876773 0.0021610493 0.0023996509 0.002852994 0.0027115375 0.0037102557 0.0026893816 0.002991042 0.003047284 0.0054827253 0.002290576 0.0027251719 0.0026143924 0.0031870364 0.0022462641 0.0023621565 0.003270547 0.003224531 0.0034784714 0.0039897608 0.0031256818 0.0019633507 0.0033319017 0.002818908 0.0040971315 0.0025394033 0.0020656087 0.0020298185 0.002016184 0.002622914 0.0021337806 0.0021218504 0.0018593887 0.0018662058 0.0016276041 0.0016923675 0.002588828 0.002307619 0.0019940282 0.0022241082 0.001975281 0.0020247055 0.0019088133 0.0018542757 0.0019889153 0.0018150769 0.0016872545 0.0017247491 0.0018304156 0.0017264534 0.0017486092 0.0016940718 0.0019718723 0.0017486092 0.0016293084 0.0015969268 0.0018065554 0.0016821417 0.0015440936 0.001586701 0.0017997383 0.0017383836 0.001809964 0.0017520179 0.0022581944 0.0017503136 0.0016071526 0.001506599 0.002164458 0.0019309692 0.0017826953 0.0016855503 0.0017196363 0.001970168 0.0016156741 0.001603744 0.001970168 0.0018917703 0.001792921 0.0016327171 0.0018082598 0.0016736202 0.0015781795 0.0016463514 0.0017843995 0.0017537222 0.001603744 0.0015730667 0.0016480557 0.0017349749 0.0017520179 0.0015969268 0.0017383836 0.0015577279 0.0016480557 0.0016616901 0.00184405 0.0018747273 0.0016650987 0.0014656959 0.0019394907 0.0014622873 0.0012032341 0.0012492501 0.0011112021 0.001048143 0.0010311 0.0010754118 0.0013702553 0.0011146106 0.0011776696 0.0010992719 0.0012356157 0.001162331 0.0011384707 0.0010754118 0.0015492064 0.00123732 0.0010702988 0.0010685945 0.0012816318 0.0010754118 0.0011708525 0.0011504008 0.0010702988 0.00087771326 0.00085896597 0.00089134765 0.0008794175 0.00093736366 0.0007550038 0.0007754554 0.0013140134 0.0012287985 0.00096974534 0.00092713785 0.000985084 0.00094758946 0.0008691918 0.00088623475 0.0010685945 0.0010634817 0.0009799711 0.0009970141 0.0010242829 0.0009884926 0.0009867883 0.00089986913 0.0012117556 0.00095951953 0.0008282886 0.0009953098 0.0009867883 0.0010362129 0.0010004226 0.000939068 0.0009867883 0.0010737075 0.0009919011 0.0011265407 0.0012083469 0.0016344214 0.001975281 0.39956233 0.012179715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8047422e-05 0.003306142 2.5609156e-06 2.1340964e-05 1.3658217e-05 3.4145542e-06 1.7072771e-06 4.097465e-05 1.707277e-05 1.7072771e-06 0.0 1.7072771e-06 1.7072771e-06 0.0 0.0 8.5363854e-07 8.365658e-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 0.0018831267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033616286 0.004180268 9.902207e-05 8.877841e-05 3.499918e-05 1.6219132e-05 2.304824e-05 2.4755518e-05 4.609648e-05 1.2804579e-05 5.1218312e-06 8.5363854e-07 0.0 2.5609156e-06 5.97547e-06 8.5363854e-07 0.0024516499 0.0061530266 0.00013828944 0.0001638986 0.00017328863 5.292559e-05 0.00011182665 0.0002304824 0.00013828944 4.3535565e-05 1.9633686e-05 6.0608338e-05 4.182829e-05 7.938839e-05 9.219296e-05 0.00012207031 0.006364729 0.0056118197 0.00026718888 0.00017670318 0.00017670318 0.000119509394 8.621749e-05 0.00012036304 0.00011780212 0.000101582984 0.00025182337 0.00027145707 0.00015365494 0.000141704 0.00012975305 0.00011438756 0.009641848 0.009826234 0.0013282616 0.00073839736 0.0006658381 0.0018899557 0.0011421684 0.006742891 0.0036288174 0.0004362093 0.00037133278 0.0006154734 0.0002543843 0.00023133605 0.0001528013 0.00013146034 0.020795489 0.030359656 0.0050484184 0.0026274994 0.001901053 0.0025472573 0.0021972656 0.0037321078 0.003913079 0.0023936024 0.0021742175 0.0027290825 0.0015109403 0.0010218053 0.0010764382 0.0009748552 0.06516335 0.045374304 0.004846106 0.003353946 0.0035622336 0.0057142563 0.006612284 0.008685772 0.0092235645 0.0064654583 0.005887545 0.0062144888 0.0041725854 0.0030432215 0.0034435778 0.00320712 0.11970402 0.04787717 0.0047428156 0.0038746654 0.004062466 0.009826234 0.019533811 0.019639662 0.012100327 0.009477095 0.0095231915 0.008918815 0.011898014 0.005526456 0.0049417135 0.0042570955 0.1629613 0.007319097 0.0013316761 0.0011626557 0.0011131447 0.0013547244 0.0016594733 0.0023748225 0.0017661782 0.0019078822 0.0021494618 0.001894224 0.002283483 0.0012693605 0.00055059686 0.0008365658 0.018229451 0.00055315776 0.000113533926 0.00014255763 0.00016304497 0.00012036304 8.109566e-05 0.000121216675 0.00012975305 0.00031072443 0.0003192608 0.00028852982 0.00044218477 0.00014085036 4.0121013e-05 8.280294e-05 0.0021955583 0.00088863773 6.914472e-05 0.00015706949 0.00013572854 0.00015365494 0.00016987407 0.00040547832 0.000252677 0.00016560587 0.00011865576 0.000110973015 9.560752e-05 0.00012377759 8.109566e-05 8.5363856e-05 0.0004831594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014007355 0.0100251315 0.008849671 0.007835548 0.009028081 0.0071569057 0.007713478 0.0064748484 0.009819404 0.007013494 0.0074078753 0.006090711 0.0079414 0.00616327 0.00634851 0.0057466947 1150.0 15.783479 18151.0 0.010412649 0.002589389 0.0036361632 0.0025342957 0.0027546692 0.002864856 0.0016528015 0.0023690155 0.0023139222 0.0023690155 0.0019833618 0.0016528015 0.008264007 0.0025342957 0.022588287 0.009420969 0.011294143 0.0069417665 0.004517657 0.005619525 0.002038455 0.0055644317 0.0014875213 0.0036361632 0.0017629883 0.0024241088 0.0050685913 0.0012671478 0.0018180816 0.00699686 0.0022588286 0.0012120544 0.0020935487 0.008484381 0.0049584047 0.020715112 0.008925128 0.00732742 0.00765798 0.006170459 0.0029750427 0.005454245 0.0015426148 0.0039667236 0.0028097625 0.0048482176 0.0049584047 0.0055644317 0.014489559 0.0015977081 0.005454245 0.01707895 0.009255689 0.006556113 0.006170459 0.006115366 0.0019282685 0.0017629883 0.0015977081 0.0019833618 0.0010467743 0.0012120544 0.0009365875 0.009200595 0.002038455 0.040989477 0.013167319 0.02198226 0.021927167 0.10660569 0.0087047545 0.013332599 0.012781665 0.037683874 0.002864856 0.005894992 0.030687014 0.02589389 0.035590325 0.047270123 0.03046664 0.0026995759 0.045176573 0.036361635 0.06721393 0.019447964 0.009420969 0.0048482176 0.0028097625 0.017960442 0.001873175 0.00088149414 0.0011018676 0.0015426148 0.0010467743 0.0010467743 5.5955715 0.0 39.0 0.0 4.0 586752.0 614400.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1474428700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 484352.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -484352.0 0.0 101376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.180574 0.0 4.631574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -483924.0 0.0 101256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 492032.0 101256.0 499712.0 0.0 0.0 0.0 0.0 12.0 606208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.037658554 0.0042917584 0.0039828815 0.0037796735 0.0063929316 0.0033326154 0.0035642728 0.0043202075 0.0041982825 0.0036292993 0.003714647 0.0033610645 0.004056037 0.0033691928 0.0033366794 0.007860095 0.0039259833 0.0038081226 0.0033407437 0.0035358237 0.0034017062 0.0033529361 0.0035683368 0.0034057703 0.0034301553 0.003617107 0.0031619205 0.0033204227 0.0036536844 0.0035642728 0.0033448078 0.0034992462 0.0059011676 0.0033773212 0.0034667328 0.003324487 0.009636135 0.0033691928 0.003373257 0.0032879096 0.0036618127 0.0036333636 0.0032716529 0.0032879096 0.0037390317 0.0033935779 0.003324487 0.0032879096 0.0041454486 0.0044705817 0.004108871 0.0042755017 0.004649405 0.0039300476 0.0038894059 0.0057426654 0.004531544 0.004112935 0.0031090863 0.003446412 0.003519567 0.0033407437 0.003450476 0.0037593527 0.0036374277 0.003450476 0.0032675888 0.003397642 0.004308015 0.004157641 0.003869085 0.0036008502 0.0033935779 0.0035358237 0.0033691928 0.0034748612 0.0036049143 0.0033163587 0.0034342194 0.003373257 0.0036983902 0.0034545404 0.0034545404 0.0034586044 0.0034423477 0.0036130426 0.003450476 0.0034423477 0.0033610645 0.003300102 0.0036658768 0.003446412 0.0033854495 0.0033651288 0.0035114386 0.009209398 0.0048648054 0.0041982825 0.0038853418 0.00418609 0.0055800984 0.0041901544 0.0077219135 0.0032594604 0.0042226673 0.0036780694 0.0034707969 0.0032879096 0.003986946 0.003397642 0.0034626685 0.0037390317 0.0034545404 0.0034545404 0.0036374277 0.0036780694 0.004555929 0.0037552884 0.0035073743 0.003422027 0.0035073743 0.003519567 0.0035764652 0.0032066263 0.0033570004 0.0034870536 0.0035561444 0.0032350754 0.0037959302 0.0034992462 0.0036821335 0.004238924 0.0037593527 0.0037227753 0.0035520801 0.0036983902 0.004182026 0.005417532 0.003519567 0.0039503686 0.0032553962 0.005665446 0.0034545404 0.0036780694 0.003397642 0.0033041663 0.003422027 0.003426091 0.003373257 0.0034138986 0.0032594604 0.0031375354 0.0036618127 0.0035073743 0.003523631 0.0032716529 0.0059377453 0.0032919736 0.0033691928 0.0034707969 0.0033204227 0.0032716529 0.003125343 0.003669941 0.0033326154 0.0032350754 0.003226947 0.003422027 0.0030968937 0.0032553962 0.0033407437 0.003519567 0.003519567 0.003231011 0.003446412 0.0034545404 0.003446412 0.0032594604 0.0033448078 0.003397642 0.003275717 0.0034626685 0.0036008502 0.003812187 0.0040275874 0.003426091 0.004035716 0.0036861978 0.0033935779 0.003495182 0.0039056626 0.0031415995 0.0044380683 0.004182026 0.0035114386 0.0036252353 0.0039381757 0.003596786 0.0044014906 0.004043844 0.00374716 0.003694326 0.0033122946 0.0033570004 0.0033448078 0.0034138986 0.0033366794 0.003523631 0.0038284434 0.003251332 0.0040316517 0.003617107 0.0034423477 0.0033895136 0.0032635245 0.003548016 0.0037756094 0.0034017062 0.0034382837 0.003328551 0.0033854495 0.0033854495 0.0036536844 0.0036333636 0.0036130426 0.0034017062 0.0035398877 0.003446412 0.0033326154 0.003324487 0.0034911179 0.0034992462 0.0057142163 0.006222237 0.0035602085 0.0034545404 0.0034342194 0.003373257 0.003523631 0.0033366794 0.0034057703 0.0034626685 0.0036374277 0.003543952 0.0033813852 0.0039991383 0.004072293 0.003714647 0.0040194592 0.004214539 0.0037959302 0.0033773212 0.0036821335 0.003617107 0.0039584967 0.01090009 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-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 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1066.0 10.755159 11465.0 0.04928042 0.005058875 0.0069777584 0.004273877 0.0062799826 0.004273877 0.004012211 0.0053205406 0.006018317 0.0056694285 0.004186655 0.004797209 0.004622765 0.0035761013 0.0057566506 0.004622765 0.014827737 0.026602704 0.022677714 0.02773659 0.01805495 0.016659398 0.015787179 0.056607064 0.02468382 0.015961623 0.004361099 0.005582207 0.006018317 0.0073266462 0.0054077627 0.0058438727 0.0068905363 0.0079372 0.004186655 0.0049716528 0.0064544263 0.005582207 0.0061055385 0.0071522025 0.004797209 0.0063672047 0.005146097 0.0058438727 0.0056694285 0.0059310948 0.0062799826 0.004273877 0.0067160926 0.0053205406 0.0049716528 0.0068033147 0.004361099 0.004535543 0.004535543 0.006018317 0.005582207 0.004186655 0.006018317 0.0058438727 0.0034016573 0.005146097 0.004186655 0.12594853 0.0049716528 0.020322721 0.011164414 0.025468819 0.015089403 0.023026602 0.014129961 0.007239424 0.0061927605 0.00968164 0.004709987 0.004273877 0.010641081 0.0067160926 0.009332752 0.0128216315 0.006018317 0.0067160926 0.013955517 0.00924553 0.014827737 0.0099433055 0.005146097 0.0063672047 0.0066288705 0.0069777584 0.005233319 0.0048844307 0.005058875 0.0062799826 0.005494985 0.0054077627 5.937869 0.0 0.0 0.0 5.0 246053.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.026133819 0.0038524147 0.0038765997 0.0040281056 0.003991129 0.0039575496 0.003830628 0.0038020457 0.0038750006 0.003711302 0.0037512772 0.0038078423 0.0038008464 0.0037522765 0.0037216956 0.0037664678 0.0037117016 0.0037536756 0.0037318892 0.0041018603 0.0037844568 0.003772264 0.003717898 0.0036571354 0.003722495 0.0036577352 0.0037406837 0.003690515 0.003733688 0.0036809207 0.0037212959 0.0037186975 0.00374668 0.0036777228 0.0047200774 0.0037490786 0.0037456807 0.0037956496 0.0037410834 0.0037622703 0.0037988478 0.0037640692 0.003839023 0.0038060432 0.0038216338 0.0037816584 0.0037520768 0.0037198965 0.003711102 0.0037284913 0.0037009085 0.0038887921 0.0037860556 0.0036865172 0.0036651306 0.0036391467 0.0037005087 0.0037332883 0.0036299524 0.003733688 0.00369811 0.0036751244 0.0037055055 0.0037135007 0.0038758002 0.0036987097 0.0037172982 0.003717698 0.0036827195 0.0037498781 0.0036973106 0.0036957117 0.0036833193 0.0036737253 0.0037031071 0.0036701274 0.0036669294 0.003775862 0.003732489 0.003758073 0.003715899 0.0036495402 0.0037087037 0.0036957117 0.003641545 0.0037204963 0.0036971108 0.003683719 0.0036969108 0.0037446814 0.0036407458 0.0037232945 0.0036935129 0.0036767235 0.003732489 0.0036843186 0.0037045062 0.003713101 0.0037186975 0.0037071046 0.0037684666 0.0037878545 0.00413484 0.0036969108 0.0037882542 0.0037222952 0.0038192351 0.0037196968 0.0038238324 0.0036851182 0.0037956496 0.0037023076 0.003784057 0.0036777228 0.0038106404 0.0037908526 0.0038442197 0.0038801974 0.0036931133 0.003812839 0.003709703 0.003715899 0.0036537377 0.0037782604 0.0037270922 0.0036617327 0.0037894535 0.0036833193 0.0037624703 0.0037864554 0.0037402841 0.003866406 0.0037005087 0.003704706 0.003703507 0.003732489 0.0037664678 0.0037470798 0.0036851182 0.0038312278 0.0037143 0.003743482 0.0037456807 0.003727492 0.0036955117 0.0036843186 0.0037294908 0.0036939126 0.0037816584 0.0036989097 0.0037570735 0.003733688 0.0037586726 0.0037634696 0.0037071046 0.0037107023 0.0041334406 0.0037021076 0.003701308 0.0036993094 0.0037402841 0.0037005087 0.003680721 0.0036941126 0.0037005087 0.003767467 0.003716099 0.0037194968 0.0037109023 0.0036927136 0.0037262926 0.0037462802 0.003699909 0.0036753241 0.0036811207 0.003725693 0.0036957117 0.0037374857 0.0037328885 0.003671127 0.0037270922 0.0037382853 0.0037107023 0.0037099028 0.0037876547 0.003737286 0.0037430823 0.0037702655 0.0037406837 0.0037630699 0.0037198965 0.003793651 0.0038216338 0.003636748 0.0036543373 0.003623956 0.0035939745 0.003645143 0.003656336 0.003796849 0.003772864 0.0037896535 0.0037786602 0.0037656683 0.0038248317 0.0037700655 0.0038334264 0.0038859937 0.003775662 0.0037428825 0.0037668676 0.0038230328 0.0038174363 0.00376287 0.0037802593 0.0038286294 0.0037666676 0.0037252933 0.0038180358 0.0037582729 0.0037746627 0.0037696657 0.003780459 0.0037716646 0.0037884542 0.0037470798 0.0037590724 0.0037606715 0.0037560742 0.0037766616 0.0037053057 0.0037414832 0.0038102407 0.0037504777 0.003745281 0.0037556745 0.0037966492 0.00382743 0.0037402841 0.0037109023 0.003810041 0.0038006466 0.0037624703 0.0038052439 0.003832227 0.0038552128 0.0038444195 0.0037930512 0.0038879926 0.0037794597 0.0038240321 0.0037808588 0.0038494165 0.0038488167 0.0040299045 0.019869298 0.0002047502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009712638 1.299684e-06 3.8990515e-06 5.298711e-06 0.0 0.0 0.0 2.599368e-06 4.3989303e-06 9.9975686e-08 0.0 2.0994894e-06 7.998055e-07 0.0 9.997568e-07 3.099246e-05 0.00091227813 2.4993922e-06 7.898079e-06 6.898322e-06 9.9975686e-08 3.9990275e-07 9.9975686e-08 8.997812e-07 4.498906e-06 7.898079e-06 5.198736e-06 5.5986384e-06 2.599368e-06 9.597666e-06 7.998055e-07 5.6486264e-05 0.0008726878 8.098031e-06 2.9992705e-06 1.6995866e-06 2.2994407e-06 5.998541e-07 4.998784e-07 2.1994651e-06 7.898079e-06 3.9990273e-06 1.299684e-06 3.0992462e-06 5.8985656e-06 8.597909e-06 2.6993434e-06 9.917588e-05 0.000949869 1.3196791e-05 0.00012476965 2.599368e-06 1.6995866e-06 1.899538e-06 8.997812e-07 5.698614e-06 4.5988813e-06 1.2896863e-05 3.199222e-06 3.6991005e-06 7.1982495e-06 6.4984197e-06 1.549623e-05 0.00027903213 0.002092891 2.6993435e-05 0.00013026832 6.298468e-06 4.198979e-06 3.8990515e-06 5.5986384e-06 4.2989545e-06 9.097787e-06 2.4993922e-05 2.0195088e-05 1.5396256e-05 3.199222e-05 5.5686458e-05 4.5288987e-05 0.0003894053 0.00019935152 1.8895405e-05 0.00012267017 7.698128e-06 3.0992462e-06 4.5988813e-06 4.998784e-07 1.599611e-06 3.9990275e-07 1.599611e-06 2.4993922e-06 1.4996352e-06 2.4993922e-06 4.8988086e-06 3.8990515e-06 3.379178e-05 0.0006279473 1.9595234e-05 0.00024983924 3.499149e-05 1.3996596e-05 3.8590613e-05 1.5096329e-05 1.2496961e-05 2.9192901e-05 1.599611e-05 1.1497204e-05 6.698371e-06 8.397958e-06 1.02974955e-05 1.3996596e-05 0.00011987085 0.00096066634 4.1989788e-05 0.0005822584 1.8895405e-05 3.079251e-05 2.0295065e-05 1.4896377e-05 1.2996839e-05 2.0195088e-05 2.6293605e-05 5.258721e-05 5.1787407e-05 3.2292148e-05 8.068038e-05 2.7493314e-05 0.000892383 0.0015924127 4.02902e-05 0.00046638658 7.7081255e-05 0.00011297253 9.7476295e-05 0.00049607933 0.00018225568 7.388203e-05 0.00014696426 7.1082715e-05 7.8480916e-05 6.0785216e-05 0.00010957335 0.00012167041 0.0009818613 0.0029792755 0.00010727391 0.0003623119 0.00022444541 0.00020415035 0.00022834446 0.00074201956 0.0004847821 0.00017005864 0.00028802996 0.0001825556 0.00038190713 0.00027933207 0.0002861304 0.0003915048 0.0031301389 0.005068567 0.00038110733 0.00069903 0.00051957363 0.00041219976 0.0002993272 0.000670337 0.0005991543 0.00048738148 0.00047058557 0.00033281907 0.00062774733 0.00051857386 0.00092787435 0.0008278987 0.005790092 0.0046768626 0.0009810614 0.0005225729 0.00042199736 0.00045948825 0.00039160476 0.00045778867 0.0006117512 0.00073442137 0.00087678677 0.0006020536 0.00077331194 0.0007780108 0.00094567 0.00074201956 0.005271118 0.0029456837 0.00052667194 0.00042289714 0.00034151695 0.00036211192 0.00023754223 0.0002738334 0.0004527899 0.0005753601 0.00044359211 0.00037880786 0.00031522333 0.0004979789 0.0005472669 0.00038510634 0.0023501285 0.00085369236 0.00019805183 0.00011847119 0.0001743576 0.00033571836 0.00028932965 0.00018825421 0.00023044395 0.00038990518 3.969035e-05 9.0178066e-05 5.8085872e-05 0.00016585966 7.988057e-05 0.00020405038 0.00047428466 0.05768337 0.057533707 0.05740994 0.057558 0.0575602 0.057496417 0.057420034 0.057412237 0.05744973 0.057594694 0.057630286 0.057457626 0.057460427 0.05739484 0.05739484 0.057486318 21817.0 5.8301783 127197.0 0.010338294 0.009646454 0.025110655 0.0102203665 0.010008098 0.010133887 0.010023821 0.009536388 0.009882309 0.010047407 0.009968788 0.010228229 0.010055268 0.010023821 0.010338294 0.010204643 0.009693624 0.010196782 0.010243952 0.010330432 0.01148612 0.0093870135 0.01014961 0.009842999 0.010204643 0.009874446 0.009693624 0.010267538 0.009968788 0.009905894 0.010133887 0.009890171 0.01096724 0.010306847 0.010165334 0.0109593775 0.010652767 0.010644905 0.010471945 0.011124476 0.01023609 0.00963073 0.010369741 0.009937341 0.010409051 0.010409051 0.010542702 0.010511254 0.010479807 0.009615007 0.010228229 0.01001596 0.009835138 0.010306847 0.009677901 0.010731385 0.010888621 0.010086716 0.009929479 0.010259676 0.009512803 0.010542702 0.010456221 0.009426323 0.009921618 0.010872898 0.009953065 0.010542702 0.010574149 0.012578913 0.010613458 0.010039545 0.010456221 0.011321022 0.009874446 0.010133887 0.011006549 0.010291123 0.010605596 0.011148062 0.010078854 0.009709349 0.011470396 0.0110851675 0.0115726 0.010275399 0.009960927 0.010141749 0.010330432 0.010094577 0.009591421 0.009953065 0.010110301 0.009559974 0.009968788 0.009795829 6.5723505 1.0 0.0 0.0 78.0 5003096.0 626688.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1195662300.0 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 -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 8.0 0.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 5.0 1.0 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 6656.0 0.0 0.0 0.0 0.0 0.0 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 -25088.0 0.0 367104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.998499 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3495554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4943748 0.0 5.354401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25064.0 0.0 366872.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 35560.0 366872.0 258048.0 0.0 0.0 3224.0 5366848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14281595 0.0013806573 0.0012164938 0.0010775862 0.0012859476 0.0019047178 0.0010018185 0.001035493 0.0013259362 0.0027718379 0.0010775862 0.0010018185 0.0012501684 0.0009933998 0.0010881096 0.0012543777 0.0012775289 0.0010481209 0.0009955044 0.0009449926 0.0012185985 0.0010544349 0.0010439117 0.001847892 0.0012964709 0.000911318 0.0009891904 0.0009765625 0.0013743433 0.0010312836 0.0009786672 0.0009660392 0.0015911234 0.0008544922 0.001010237 0.012417497 0.0031191069 0.0019236597 0.0010712722 0.001946811 0.0012228078 0.0010249697 0.0009449926 0.00095972524 0.0012627963 0.0010018185 0.0010733769 0.0009976091 0.0017952755 0.0017152984 0.0016037513 0.0015111463 0.0017510776 0.0015742861 0.0017826475 0.0014080179 0.0027676285 0.0016416352 0.0025319066 0.0016269026 0.0019005085 0.0017763335 0.0014606344 0.0016395305 0.013587689 0.0010986328 0.0013385641 0.0010965281 0.003013874 0.004428206 0.0011259934 0.001029179 0.011476714 0.0018710432 0.0018984039 0.0065055056 0.0016163794 0.0019804856 0.0011217841 0.0045923693 0.008473364 0.0018962992 0.0041461815 0.0010817955 0.001382762 0.0011154701 0.0010881096 0.0041440767 0.0020309975 0.00084607356 0.0009912951 0.0018794619 0.001283843 0.001010237 0.0010060278 0.0009786672 0.0012017612 0.001258587 0.004966999 0.0021404398 0.0022119982 0.008147141 0.001283843 0.0019089271 0.0074673356 0.0012943662 0.0010923188 0.0018941945 0.002249882 0.0010249697 0.0012796336 0.004948057 0.00136382 0.0009281553 0.00790721 0.44817063 0.0017531823 0.0011196794 0.0011428307 0.0010186557 0.0013112036 0.0010333883 0.001016551 0.0010691675 0.0012880523 0.0010628536 0.0019426018 0.00094709726 0.0012291218 0.001153354 0.0009744578 0.001252273 0.0013090989 0.0009386786 0.001029179 0.00096814387 0.0012985755 0.002039416 0.0010796909 0.0020604627 0.0013027849 0.0010460163 0.0010039231 0.00089237606 0.0012270171 0.00094709726 0.0009218413 0.001010237 0.0012817383 0.0017531823 0.0010628536 0.001010237 0.0012017612 0.0009197367 0.0009786672 0.0009660392 0.0011449354 0.00096182985 0.0010439117 0.00095130655 0.0011491447 0.0009807718 0.0010881096 0.001041807 0.0011428307 0.0018184268 0.0009891904 0.00090500404 0.0012059705 0.00086080615 0.001029179 0.000917632 0.0012270171 0.0009786672 0.0010628536 0.0010123417 0.002033102 0.0018689386 0.0018731479 0.001041807 0.0012207031 0.00089448073 0.0008986901 0.0009071087 0.001271215 0.0010123417 0.0010712722 0.0018962992 0.0011954472 0.00095130655 0.0009407833 0.00097235315 0.0012754243 0.0011323073 0.0010649583 0.0010944235 0.00114704 0.0009955044 0.0010523302 0.0012459591 0.0011807146 0.0009997138 0.001029179 0.0010207604 0.0011512493 0.0009828765 0.00088395743 0.0010081324 0.0013343547 0.00097235315 0.0010060278 0.0009218413 0.0012228078 0.0010502256 0.0010502256 0.00092605065 0.0011512493 0.0009976091 0.0018268453 0.001959439 0.0012059705 0.0017784382 0.00095130655 0.00087764347 0.0011554586 0.0009997138 0.0009912951 0.0018668339 0.0012417497 0.0010607489 0.0010481209 0.0017910661 0.0012627963 0.0011217841 0.0010460163 0.0019215551 0.0012417497 0.00186052 0.0010060278 0.001067063 0.0012438544 0.0010923188 0.0011133654 0.0009281553 0.0011217841 0.001035493 0.0011575633 0.0009092134 0.0011744006 0.001010237 0.0010060278 0.0010565396 0.0012249125 0.0018184268 0.0011007375 0.001481681 0.017251197 0.0 1.0546031e-06 0.0 6.327619e-06 5.2730156e-06 9.4914285e-06 5.2730156e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7928252e-05 1.2655238e-05 1.2655238e-05 1.5819047e-05 1.37098405e-05 1.0546031e-05 1.0546031e-05 0.004124553 1.4764444e-05 7.382222e-06 1.5819047e-05 1.7928252e-05 1.2655238e-05 1.0546031e-05 1.37098405e-05 8.436825e-06 3.37473e-05 3.7965714e-05 3.058349e-05 3.37473e-05 2.4255873e-05 2.1092063e-05 3.691111e-05 0.0059985826 3.4801902e-05 2.5310475e-05 3.058349e-05 3.7965714e-05 3.691111e-05 4.007492e-05 3.058349e-05 2.6365078e-05 0.0038672297 7.593143e-05 9.702349e-05 6.8549205e-05 0.00015502666 8.6477456e-05 0.00022463046 0.007843084 6.538539e-05 6.644e-05 4.6402536e-05 8.120444e-05 3.691111e-05 8.964127e-05 8.2259045e-05 7.2767616e-05 0.0019573434 0.00035329204 0.00039231236 0.00035223743 0.0004682438 0.00042922347 0.00047773522 0.033771556 0.00031110793 0.00035223743 0.00031216253 0.00042605968 0.00027525143 0.00038387554 0.00043133268 0.000342746 0.00069498346 0.00046297078 0.0005705403 0.0005652673 0.00072873075 0.00061905204 0.00075720507 0.038940165 0.0004460971 0.00049144507 0.00048300825 0.0006401441 0.00044926093 0.00055261207 0.00062010664 0.0004946089 0.0063001993 0.0008932488 0.0012623599 0.0010145282 0.0019109409 0.0012317764 0.0019278146 0.055046067 0.00093121454 0.00089641265 0.00092066854 0.0012412679 0.0008563377 0.0010988965 0.0012307218 0.000991327 0.006945616 0.0013910215 0.0018191905 0.0015270653 0.0019931998 0.0015017549 0.0030446392 0.059014536 0.0012855612 0.0013572742 0.0013804755 0.0015217923 0.0012412679 0.0014827721 0.0016198704 0.001426878 0.02604237 0.0020048006 0.006871794 0.0028853943 0.013277453 0.007936943 0.011326438 0.07970585 0.0018381733 0.0021935746 0.0021197523 0.0028295002 0.0018687567 0.0025953783 0.0028252818 0.0021450627 0.034916855 0.0037385682 0.010373076 0.004010656 0.018761389 0.012093134 0.016697532 0.10790594 0.003390549 0.003600415 0.0037269674 0.004469408 0.003449607 0.004259542 0.0045242473 0.0038229364 0.0071312264 0.0033040717 0.0034601528 0.0036236164 0.004289071 0.0035434666 0.004131935 0.0705192 0.003287198 0.0033810576 0.0033989858 0.0035993606 0.0031838468 0.0034907365 0.0036731828 0.0034126958 0.0038703934 0.0010187466 0.0010514393 0.01003244 0.001682092 0.0010324565 0.0011779917 0.006653491 0.0009997637 0.0010303473 0.0009670711 0.0010082006 0.00097128947 0.0009934362 0.0010546031 0.0010134736 0.049087558 0.00403913 0.0043323096 0.0037037663 0.012688985 0.0039494885 0.0040328023 0.0038429738 0.0041583003 0.003799735 0.003834537 0.003762824 0.0040148743 0.0037839161 0.003989564 0.0036099064 0.0012486501 0.00021830286 0.0008204812 0.00022146666 0.0007487682 0.00038282093 0.00021408443 0.00021513904 0.0011062787 7.065841e-05 6.327619e-05 8.2259045e-05 0.00035012825 0.00014026221 0.00025943236 0.000337473 0.0012802882 0.0003385276 0.0011421352 0.0003712203 0.00089746725 0.00048406282 0.0003037257 0.00036172886 0.0014448063 0.00011178793 0.00010335111 0.00023306729 0.00044926093 0.0002320127 0.0003079441 0.0005779225 0.00025626857 8.014984e-05 0.0002320127 0.00011495174 0.00022041205 8.964127e-05 5.378476e-05 0.00012760698 0.00029107046 3.37473e-05 4.2184125e-05 0.0001360438 0.000100187295 0.00011178793 5.5893965e-05 0.00021408443 3226.0 73.57223 237344.0 0.00045082244 0.0001348254 9.269246e-05 0.0066822837 0.00050559524 0.00013903869 0.000143252 0.0002654375 0.00043818256 0.00015589187 0.00013903869 0.000143252 0.00044660913 0.00013903869 0.00016853175 9.269246e-05 0.00076260616 0.0007499663 0.00059828773 0.0007331131 0.00088900496 0.00063199404 0.00068676687 0.0005477282 0.0010912431 0.0004803155 0.0007415397 0.0006109276 0.0009479911 0.00072889985 0.00056879467 0.0006614871 0.006678071 0.00019381152 9.269246e-05 0.00016010516 0.0006193542 0.006496899 0.00015589187 0.00016431845 0.006206182 0.00018538492 0.00026122422 0.0002738641 0.00051402184 0.0015673453 0.00018117164 0.00015167857 0.00046767562 0.0015252123 0.006437913 0.00019381152 0.00046767562 0.000143252 0.00017274504 0.006223035 0.0018327828 0.00015589187 0.00016010516 0.00021066469 0.00042132937 0.00014746528 0.00017274504 0.000101119054 0.0004129028 0.00024858434 0.007575502 0.00023173116 0.00059407443 0.006758123 0.00017274504 0.00017274504 0.012825266 0.00022751787 0.0001980248 0.00022751787 0.00059828773 0.00016853175 0.00029071726 0.00024437104 0.0005435149 0.00013903869 0.0063199406 0.8933489 0.0006614871 0.00018117164 0.00014746528 0.000143252 0.00044239586 0.00018538492 0.00015167857 0.0001980248 0.00044660913 0.00020223811 0.0015378522 0.000101119054 1.0288398 0.0 0.0 0.0 5.0 475136.0 487424.0 1.0 0.0 25.0 1.0 1.0 0.0 0.0 0.0 1542630400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -12288.0 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 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9519563 0.0 0.0 -4.875707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5328817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.461298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0306363 0.0 3.3718226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9168.0 0.0 0.0 -1054.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 318078.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70308.0 0.0 3816.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 4297.0 147592.0 3816.0 471040.0 0.0 0.0 0.0 0.0 9168.0 475136.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.2550653 0.022699682 0.0069386302 0.0075770263 0.0098061785 0.003024531 0.0045838915 0.0024698593 0.0077235433 0.0026059109 0.0025221868 0.008110767 0.0065514063 0.002710566 0.0014651708 0.0040920125 0.021674063 0.0011616711 0.0010046886 0.001800067 0.003348962 0.0038931682 0.0010779471 0.0013919122 0.0026791694 0.0007953784 0.00063839584 0.000847706 0.0019570496 0.0015907568 0.00068025786 0.0010988781 0.015311034 0.00097329204 0.00068025786 0.0010570161 0.017090172 0.0018733256 0.0005756028 0.000889568 0.0015384293 0.0007430509 0.0010465506 0.0020931012 0.0014547053 0.0015802913 0.0027628934 0.0013709812 0.008309611 0.0037152546 0.0032443067 0.007179337 0.0032966342 0.0033070997 0.0020721701 0.0019047221 0.002836152 0.0030140656 0.0043013226 0.0038303751 0.0023966008 0.0021872907 0.0016326188 0.0015907568 0.0036943236 0.0034640825 0.00094189553 0.002752428 0.007985181 0.006258372 0.0027001004 0.0050757704 0.0022500837 0.0035896685 0.00069072336 0.0010151541 0.0038513062 0.0042280643 0.0028884795 0.0045001674 0.0076188883 0.0032443067 0.0052850805 0.0077549396 0.0042803916 0.0034222205 0.005504856 0.0031815136 0.0011826021 0.0027001004 0.00061746483 0.0013605157 0.00186286 0.001800067 0.0021140322 0.003066393 0.0009837575 0.006080459 0.00095236104 0.0043850467 0.0045210985 0.017916946 0.0040815473 0.0021244977 0.007137475 0.008707301 0.0040606163 0.0007116544 0.0041757366 0.0025117213 0.006687458 0.0077235433 0.0041024783 0.0005651373 0.014735432 0.006028131 0.016608758 0.011763228 0.002940807 0.0012663262 0.0012139987 0.00279429 0.00068025786 0.00042908575 0.0016640153 0.0014233087 0.00068025786 0.00062793033 0.0023128767 0.0021244977 0.0013814467 0.008686369 0.0048245983 0.0045629605 0.0013919122 0.00029303416 0.0029094105 0.005965338 0.0039873575 0.015802914 0.001820998 0.012757451 0.0007849129 0.0008058439 0.0012349297 0.00041862024 0.0003558272 0.00033489618 0.0018523945 0.0006069993 0.0004081547 0.0005232753 0.0007430509 0.0003976892 0.00027210315 0.00048141327 0.0014756363 0.00031396517 0.00046048226 0.00043955125 0.0016640153 0.0020721701 0.0005546718 0.00094189553 0.0021035667 0.0013814467 0.0005651373 0.00061746483 0.0008372405 0.00069072336 0.0015802913 0.002898945 0.0011302746 0.00045001676 0.0007849129 0.0005128098 0.0013081882 0.0005023443 0.00028256865 0.00031396517 0.0009000335 0.0003662927 0.0007430509 0.00042908575 0.0010046886 0.0016640153 0.00047094777 0.0005337408 0.002878014 0.00042908575 0.0008791025 0.0005860683 0.007263061 0.0023966008 0.0021558942 0.003495479 0.0035896685 0.0005756028 0.001716343 0.0020721701 0.0024489283 0.0017686705 0.0007953784 0.0017268085 0.0049711154 0.00033489618 0.0005546718 0.0005651373 0.0033803585 0.0025221868 0.0014547053 0.0012035331 0.00063839584 0.0005442063 0.00096282654 0.000868637 0.0012663262 0.0005023443 0.0005756028 0.0009209645 0.0010884126 0.00097329204 0.00063839584 0.0005651373 0.0017268085 0.0013291192 0.00062793033 0.0003662927 0.0022814802 0.0011407401 0.000868637 0.00061746483 0.009596868 0.0024175318 0.0012977227 0.002878014 0.0019151876 0.0005337408 0.00069072336 0.0005860683 0.0016326188 0.0007430509 0.0010884126 0.0034012895 0.0010360851 0.00043955125 0.0012244642 0.0015593603 0.0038827027 0.001841929 0.0005965338 0.0007325854 0.002815221 0.00064886134 0.0016012223 0.019926323 0.065021016 1.5922215e-05 1.061481e-05 0.0 4.7766644e-05 1.061481e-05 5.8381454e-05 2.6537024e-05 5.307405e-06 0.0 0.0 5.307405e-06 5.307405e-06 0.0 0.0 1.061481e-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 0.0099832285 4.245924e-05 3.7151833e-05 0.00047766644 5.307405e-06 1.5922215e-05 2.122962e-05 2.122962e-05 2.122962e-05 3.184443e-05 3.184443e-05 3.7151833e-05 3.184443e-05 4.7766644e-05 3.184443e-05 3.184443e-05 0.018889055 0.00011676291 0.0004298998 0.0007589589 0.00047766644 7.4303665e-05 0.0003131369 0.00022821841 3.184443e-05 2.122962e-05 3.184443e-05 0.00016452956 0.00010084069 4.7766644e-05 2.122962e-05 3.184443e-05 0.008454696 0.0 0.0 5.3074047e-05 0.0003078295 0.00023883322 0.0011888586 0.0006262738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017779807 0.0007430367 0.00036090353 0.0008438774 0.00039805536 0.00018575917 7.4303665e-05 0.00013799252 0.0002176036 0.00010084069 0.00019106657 0.000106148094 0.000106148094 0.00013268512 8.491848e-05 0.00027598505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027226986 0.0019159731 0.0014223845 0.0037417205 0.0009659477 0.0006634256 0.0018151324 0.0011994735 0.0013268512 0.00046705164 0.00028659985 0.0003078295 0.0005360479 0.0003078295 0.0004298998 0.000865107 0.027959408 0.0017832881 0.007748811 0.0025793987 0.012360946 0.008911133 0.025220787 0.018230936 0.0012737772 0.00016452956 0.00024414062 0.0002176036 0.0005466627 0.00036621094 0.00040336276 0.0006846552 0.024647588 0.0023140286 0.005928371 0.0023246433 0.009494947 0.006151282 0.024774967 0.015853219 0.0005625849 0.00056789233 0.0014276919 0.0004298998 0.00061035156 0.00072180707 0.0010508662 0.0009659477 0.008109715 0.001231318 0.0019955842 0.014701512 0.0019212805 0.0015497622 0.003996476 0.0028235393 0.00095002545 0.0009447181 0.000865107 0.0008544922 0.00082795514 0.0008704144 0.0008067255 0.0010296366 0.003969939 0.0005360479 0.00023883322 0.0003184443 0.000615659 0.0004935887 0.00012737772 0.0004298998 0.0013480808 0.00012737772 7.4303665e-05 6.899626e-05 0.0007642663 0.00016983696 0.000615659 0.00097125507 0.034365445 0.005763842 0.0061406675 0.0044900645 0.0074887485 0.0058752974 0.003078295 0.0051322607 0.016612178 0.0018045177 0.0040601646 0.002452021 0.0074409815 0.0026802395 0.004877505 0.0073029893 0.09174911 0.029052734 0.024536133 0.022041652 0.020698879 0.02965778 0.019372027 0.020773184 0.047235902 0.0051694126 0.00999915 0.007610819 0.024615744 0.011532991 0.018660836 0.030337127 0.005938986 0.0021866509 0.0025104026 0.0030358357 0.0016240659 0.0018575917 0.0036780315 0.0028023098 0.0016506029 0.00097125507 0.0011463994 0.0010030995 0.0009977921 0.0010561736 0.0010402513 0.0011092477 870.0 21.25632 18493.0 0.06202347 0.0010814903 0.0003244471 0.0007029687 0.007570432 0.0058400477 0.00054074515 0.0009733413 0.0023792787 0.0011896393 0.00048667064 0.0006488942 0.0025415022 0.004596334 0.008435625 0.004596334 0.01854756 0.010328232 0.008922295 0.0063267183 0.00502893 0.0064889416 0.005245228 0.0046504084 0.0049748556 0.0044881846 0.009679338 0.0029200239 0.004271887 0.0036229924 0.0029740983 0.0018385336 0.001892608 0.01222084 0.0022711295 0.011463797 0.013843075 0.018385336 0.006164495 0.008219326 0.0025955767 0.014437895 0.0008111177 0.0026496511 0.009246742 0.010490456 0.010274158 0.008543774 0.013464554 0.003785216 0.013843075 0.027415778 0.011247499 0.0032444708 0.009030444 0.00502893 0.0011896393 0.0015140864 0.0011896393 0.0009192668 0.001892608 0.00054074515 0.0007029687 0.007570432 0.0009733413 0.029092088 0.0032985455 0.021575732 0.019358676 0.088682204 0.0062185694 0.0091385925 0.008760071 0.043421835 0.0016222354 0.0023252042 0.017790515 0.011571947 0.033418052 0.038392905 0.0165468 0.00054074515 0.071594656 0.028443195 0.057643432 0.015843833 0.009679338 0.0038392905 0.0028659492 0.011896393 0.0023792787 0.00059481966 0.00059481966 0.0003785216 0.00021629805 0.0009733413 5.5890365 0.0 23.0 0.0 2.0 95552.0 90112.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1521611100.0 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 7.0 10.0 4.0 0.0 4.0 0.0 49152.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8739524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.921654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.749534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5215516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4950.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18401.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 929.0 70720.0 100.0 68680.0 0.0 0.0 0.0 0.0 9536.0 86016.0 3248.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 68584.0 0.0 0.0 412.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.21338569 0.038043663 0.026271602 0.011845432 0.016792435 0.0073682964 0.020888599 0.0070141326 0.009443892 0.005941765 0.02291622 0.0048383544 0.004450327 0.0036319408 0.0038167832 0.002453747 0.0039748163 0.0050852816 0.016539864 0.0027585253 0.0034668525 0.007067751 0.0024777343 0.0023352222 0.002450925 0.001361625 0.0012769644 0.0011542065 0.0024170608 0.0012402781 0.0021249817 0.001491438 0.005185463 0.0018611227 0.0011824267 0.0019584824 0.0019881136 0.003129621 0.0023577984 0.0012007698 0.011780526 0.0017369539 0.007196153 0.003933897 0.0037278894 0.0028968044 0.0050782263 0.0016466491 0.008389868 0.0045265215 0.003363849 0.0021165155 0.0019288512 0.0018117373 0.0042922935 0.001890754 0.0020501981 0.0022364515 0.0011570285 0.0010441476 0.0026385894 0.0018117373 0.0025003103 0.0007294924 0.0017143777 0.0039621172 0.0014053663 0.0052292044 0.0033412727 0.0021009946 0.0019542493 0.0014660398 0.0017341318 0.0034470984 0.00076617865 0.0015055481 0.0018329025 0.002294303 0.0015916197 0.0012600323 0.003528937 0.0016932124 0.0023761415 0.003397713 0.0024354039 0.0017383648 0.002294303 0.0014730948 0.0009002246 0.0010088724 0.0010681349 0.00076758966 0.00079863187 0.0014025443 0.0006490648 0.009587816 0.0013771461 0.012613022 0.0037673977 0.006778494 0.0073880507 0.024792863 0.0024241158 0.0051374887 0.0024932553 0.011820034 0.0010441476 0.0019810586 0.009982899 0.005985506 0.012603145 0.022841437 0.008181038 0.0011640836 0.015372958 0.015409645 0.016857341 0.006795426 0.00203891 0.0024128277 0.0016579372 0.005174175 0.001083656 0.0029447787 0.0011570285 0.0018653558 0.007172166 0.000674463 0.006500525 0.0061943354 0.0032128706 0.004096163 0.0026682205 0.0015944417 0.004185057 0.0010540248 0.0011019991 0.0011838378 0.0007464245 0.00076617865 0.0012600323 0.00093126687 0.0006222556 0.00067869603 0.0005023197 0.0015549335 0.000673052 0.002026211 0.0052193273 0.0009002246 0.000953843 0.000674463 0.0010328596 0.001219113 0.0010512028 0.0015422343 0.0007831108 0.00094114395 0.00060391246 0.0006631749 0.0009016356 0.0011245753 0.00090586866 0.0026301234 0.0009651311 0.0011485624 0.00087623746 0.00069845014 0.0007167933 0.0010300376 0.0014279425 0.00082120806 0.001080834 0.0011372744 0.00067022996 0.0009115127 0.000674463 0.000943966 0.0006659969 0.00090586866 0.0016113739 0.0011372744 0.0007633566 0.0007746447 0.0008381402 0.00092844485 0.0007182043 0.0007492465 0.0011118762 0.00095948705 0.00077605573 0.0007506575 0.0011203423 0.0016664033 0.0008466062 0.00082120806 0.0010681349 0.00093126687 0.0012459222 0.00078028877 0.00063354365 0.00077605573 0.0016029078 0.0005700482 0.00076476764 0.00066740793 0.0006603529 0.0006518868 0.0006617639 0.0008014539 0.0005827473 0.000680107 0.0020600753 0.001351748 0.0006970391 0.0006645859 0.00097077515 0.0013291718 0.00057992525 0.0005319509 0.0012402781 0.0007069162 0.0011965368 0.00074078044 0.0022378624 0.0014872049 0.0006278996 0.00067022996 0.0007901658 0.00067869603 0.000946788 0.00067022996 0.0007365474 0.0012501552 0.00077887776 0.00053900597 0.00061520055 0.0008423732 0.0005192518 0.0004980867 0.00068716204 0.0013051846 0.00049667567 0.00049385364 0.0006236666 0.0007153823 0.0004458793 0.00068998407 0.0005672262 0.0006928061 0.0046450463 0.00060532347 0.00055876013 0.0013178837 0.0026823308 0.0020953505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036002793 1.5545858e-05 6.3596686e-05 2.1905527e-05 3.0385085e-05 1.7665747e-05 6.500995e-05 1.7665747e-05 1.8372377e-05 7.772929e-06 8.479558e-06 1.0599449e-05 0.0003405956 5.865028e-05 1.4132597e-05 5.0877352e-05 0.005749141 3.6038124e-05 0.00013213979 6.783647e-05 0.00016252487 6.14768e-05 0.00026922597 9.044862e-05 2.1905527e-05 3.1798343e-05 3.2504973e-05 3.1798343e-05 0.0003186901 0.00014273924 2.8971825e-05 5.865028e-05 0.010306197 0.00020068289 0.0008281702 0.0009270984 0.0009843354 0.00047838842 0.0038285207 0.0013567294 7.136962e-05 0.00012790001 6.571658e-05 7.914255e-05 0.00026074643 0.00052855915 6.924973e-05 0.00014768564 0.020502865 0.00042751108 0.0017906001 0.0011814851 0.011621942 0.010973962 0.06451672 0.03480223 5.5823763e-05 7.348951e-05 3.2504973e-05 2.6851936e-05 3.8158014e-05 5.1583982e-05 2.7558566e-05 4.1691164e-05 0.03712704 0.002222351 0.0037465517 0.0014160863 0.0020591195 0.0015736647 0.009398177 0.0058487756 0.00062536745 0.0006508061 0.0005985155 0.0005031205 0.00067483156 0.0005370387 0.00046425583 0.00057166355 0.14061722 0.020136831 0.02534752 0.013519243 0.006061471 0.009234946 0.023535721 0.021620754 0.010169817 0.0038652655 0.0034010096 0.00224143 0.0028060272 0.003184781 0.0028159202 0.0052191685 0.1221113 0.023250243 0.012187952 0.008474613 0.005735008 0.0048729195 0.012004935 0.012137075 0.019982787 0.009528904 0.0066967313 0.004881399 0.0060261395 0.00550818 0.0063335234 0.006549046 0.028064512 0.0037642175 0.005922265 0.0080379145 0.0034702593 0.003001057 0.01183393 0.0066472674 0.0013793416 0.0017644549 0.0023551974 0.0020796116 0.0009800957 0.0010811437 0.00084512937 0.0027099256 0.022841105 0.0038115615 0.0030561741 0.004053229 0.002485924 0.0018280515 0.0028611445 0.003770577 0.0017807073 0.0019976427 0.0018167454 0.002350251 0.0012535615 0.001748909 0.0012175232 0.0010140139 0.0016203023 0.00041761826 0.0006289006 0.0008599686 0.00034695526 0.0003172768 0.00056459726 0.00036532764 0.00034200886 0.000454363 0.00020421603 0.00019290995 0.000198563 0.00015192543 0.00023954753 0.00033140942 0.0044595413 0.0017863604 0.0019347526 0.002644209 0.0012556813 0.0014401117 0.002823693 0.0020485201 0.0011291945 0.00070804317 0.00073206855 0.0007398415 0.0007242956 0.0006790713 0.00073913485 0.0007575072 0.0020796116 0.0011645261 0.0011977376 0.001267694 0.001387821 0.0013312907 0.0014302189 0.0012881863 0.0012189365 0.0011242481 0.0010832637 0.0011525133 0.0011694725 0.0011228349 0.0010783172 0.0011638195 6974.0 21.435331 149490.0 0.008274801 0.00013378821 0.0005619105 0.00095658575 0.00068231986 0.00022743996 0.0005150846 0.0002475082 0.00033447053 0.00028095525 0.00040805404 0.00044819052 0.006943608 0.0007023881 0.016509466 0.0029232726 0.015358887 0.012642986 0.0071710483 0.005518764 0.005130778 0.0042277076 0.0060204696 0.0046692085 0.004956853 0.005685999 0.0013980868 0.00018730349 0.0084955515 0.004234397 0.008468794 0.00015385644 0.00014047763 0.011673022 0.0027827949 0.01658305 0.009632751 0.004983611 0.0039199945 0.0031707806 0.0014516021 0.009331728 0.00015385644 0.002200816 0.004154124 0.0060672956 0.0037193124 0.0021606795 0.012154659 0.0018529667 0.0072513213 0.011325172 0.006977055 0.002234263 0.0060472274 0.0023479832 0.00096327515 0.0003879858 0.0006288046 0.00012040939 0.00024081879 0.00026088703 0.0001270988 0.041287042 0.00095658575 0.044865876 0.012964078 0.024269182 0.026684059 0.10052846 0.006201084 0.017733628 0.007003813 0.042952705 0.0003812964 0.0047294134 0.03766138 0.021018129 0.04801659 0.054016992 0.021760654 0.0008763128 0.052458357 0.04224363 0.06661315 0.022081744 0.005164225 0.006629206 0.0036925548 0.015920797 0.00053515285 0.00013378821 0.0003879858 9.3651746e-05 0.00045487992 0.00016723527 5.333594 1.0 105.0 0.0 2.0 708712.0 720896.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1542130300.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 692736.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -692736.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2725277 0.0 3.3379064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -692380.0 0.0 1108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 700484.0 1108.0 704512.0 0.0 0.0 13416.0 695296.0 12.0 712704.0 28.0 700172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0