Input: 0.009299011 0.0038585623 0.0039137066 0.00385801 0.0038515937 0.0038140155 0.0038278475 0.003865373 0.0038322392 0.0038281633 0.0038474652 0.0038067838 0.003835947 0.0038159352 0.0038145415 0.0038270587 0.003936138 0.0038001044 0.0038073098 0.003799184 0.0038205897 0.0038258492 0.003790769 0.0038087824 0.0037918473 0.0037918736 0.0038085193 0.0038115436 0.003788008 0.0038082039 0.0037930831 0.0038108598 0.0044418527 0.003820169 0.0038053638 0.0037915579 0.0038416535 0.0038274531 0.0038239558 0.004032174 0.0040517915 0.003990599 0.003970981 0.0039180457 0.0038947994 0.003930432 0.0039655115 0.0039716125 0.004003826 0.004111275 0.0039898097 0.0038139103 0.0038119643 0.0038024448 0.0038022608 0.00381036 0.0038028392 0.0038260857 0.0040858984 0.0037907953 0.0038313188 0.003838156 0.003823193 0.0038041542 0.0038756027 0.003908816 0.0038275584 0.0038276373 0.0038277162 0.0038452034 0.0038246394 0.003800525 0.0038234561 0.003819301 0.0038100972 0.0037938196 0.003810597 0.0038022345 0.0037845366 0.0037949502 0.003828058 0.0037984215 0.0038069154 0.0038321603 0.0038376825 0.0038120432 0.0038280054 0.0038104127 0.0037988948 0.0038233772 0.0038270324 0.0038133317 0.0038088877 0.0038153566 0.0038107021 0.0038168556 0.003805101 0.0038282683 0.0038253758 0.0038246394 0.0038506996 0.0038662148 0.0038336855 0.0038249285 0.0038226144 0.0038362625 0.0038078094 0.0037939246 0.003839392 0.003832502 0.0038383664 0.003836841 0.0038490691 0.0037983162 0.0038444672 0.0038541707 0.0038895926 0.0038445988 0.003841785 0.0038216154 0.0038198533 0.0037998415 0.0037891911 0.0038093347 0.0038047063 0.0038083617 0.0038114383 0.0038209578 0.0039082635 0.0038180389 0.0038031286 0.003835421 0.0038290047 0.0038238242 0.003806442 0.0038151988 0.0038047852 0.0038736567 0.0038101762 0.00390921 0.003809282 0.0038225357 0.0038047326 0.003798579 0.003848333 0.003798816 0.0038017875 0.0038015244 0.0037962126 0.0037866668 0.0038213786 0.0038071782 0.00380255 0.0038088614 0.0038024448 0.0038136998 0.004079666 0.0038141995 0.0040318584 0.0040947343 0.004024574 0.0039807637 0.0039041084 0.003915495 0.0039869435 0.0039702714 0.004012951 0.004089817 0.004007271 0.0038127005 0.003803444 0.003806705 0.0038010774 0.0037992103 0.003795713 0.0037955025 0.003838945 0.0038023395 0.003800157 0.0037963176 0.0038027605 0.003796528 0.0038034967 0.0037995258 0.0038125692 0.00380255 0.0038169343 0.0038067312 0.003808914 0.003803155 0.0038125955 0.0038097291 0.0038480698 0.0038118064 0.0038046013 0.003819748 0.0038256387 0.0038140945 0.0038088614 0.003808572 0.0037933988 0.0037906638 0.0038134106 0.0037875609 0.0037903483 0.0038062052 0.0038018138 0.0038141995 0.0038287153 0.003814252 0.0037976587 0.003809361 0.0038412327 0.0038054427 0.00380255 0.0038151725 0.00381867 0.0037856938 0.0038112544 0.0038306876 0.0038078884 0.0038226934 0.003825218 0.0038146202 0.0038536447 0.0040958915 0.0038404963 0.0038437308 0.0038557223 0.0038395233 0.0038493585 0.003845414 0.0038750768 0.0038681868 0.0038698963 0.0038545127 0.0038794945 0.0038586939 0.0038388923 0.0038692388 0.003915232 0.0038978234 0.003925672 0.0039190976 0.0039185453 0.0039792648 0.0040201563 0.0040179477 0.004019131 0.0039867596 0.003984603 0.0040327264 0.004036145 0.0040225494 0.0045588734 0.011821694 0.0008637062 3.9446444e-08 0.00026660538 7.889289e-08 0.0 0.0 0.0 2.629763e-08 1.3148815e-07 3.9446444e-08 0.0 0.0 7.889289e-08 0.0 1.1833934e-07 1.8408342e-07 0.00012537395 2.8138465e-06 1.3148815e-08 5.259526e-07 2.629763e-08 1.3148815e-08 1.3148815e-08 1.3148815e-07 2.629763e-07 1.4463697e-07 2.3667867e-07 2.629763e-08 1.8408342e-07 2.629763e-08 3.418692e-07 4.5100437e-06 0.00024101778 4.1024305e-06 9.861611e-07 2.9584835e-06 1.1833934e-07 4.470597e-07 6.5744075e-08 2.7612512e-07 4.207621e-07 8.678218e-07 7.889289e-08 6.5744075e-08 1.8408342e-07 9.204171e-08 2.2484473e-06 1.5357817e-05 0.00020417481 2.095921e-05 5.9564132e-05 2.5245724e-06 5.5225024e-07 4.9965496e-07 2.0117686e-06 2.3141915e-06 2.629763e-07 7.4948247e-07 3.7158552e-05 1.1307981e-06 6.968872e-07 9.993099e-07 2.9979299e-06 0.00041740914 0.00043359533 0.00011815525 0.00013841757 2.0262323e-05 2.9321857e-06 3.5238825e-06 7.1398067e-06 6.5218123e-06 6.812401e-05 5.259526e-06 8.787353e-05 3.6816682e-06 2.8927393e-06 2.0249174e-06 6.245687e-06 0.0006552186 0.00091545994 2.0906616e-06 0.00036515575 0.00020017756 7.1529553e-06 4.6020855e-06 7.7315035e-06 5.3384188e-06 4.1418766e-06 6.5507396e-05 0.00048340304 1.0689987e-05 9.835314e-06 1.0400713e-05 7.3554475e-05 0.0031666555 0.0007997109 7.297592e-06 0.00027164136 0.00012934489 1.4582036e-05 1.420072e-05 4.9965497e-06 4.7861686e-06 2.1629801e-05 7.8380086e-05 0.0003301799 1.6094149e-05 1.0348118e-05 9.795867e-06 0.00013321065 0.0018969007 0.0006543771 6.6664493e-06 0.0003983565 0.00027503376 1.8592425e-05 2.10907e-05 3.497585e-05 2.3720462e-05 9.953653e-06 0.00031362553 0.00033499236 7.915587e-06 9.664379e-06 1.6278233e-05 0.0001241511 0.0017360643 0.00049781415 1.1294832e-05 0.00019476024 0.00020292566 3.6474812e-05 1.4056083e-05 4.4035383e-05 2.7204898e-05 2.4233266e-05 0.00015491934 0.00020642325 9.493445e-06 1.0992409e-05 2.9558536e-05 0.00024122816 0.001445252 0.0005026266 1.4148125e-05 0.00036310454 0.00020886892 5.172744e-05 2.0170282e-05 0.00014007432 9.8497774e-05 2.0078242e-05 0.00016971176 0.00018455677 1.4174423e-05 1.5804875e-05 5.761811e-05 0.0003499294 0.0013165777 0.00021256374 1.5804875e-05 7.82223e-05 3.0570995e-05 4.462708e-05 1.221525e-05 5.479111e-05 3.061044e-05 5.5356513e-06 6.993855e-05 2.3786206e-05 6.4429196e-06 9.467147e-06 3.141252e-05 6.851848e-05 0.00027492858 6.1667946e-05 3.8131564e-06 1.0795177e-05 9.151575e-06 2.38651e-05 4.1550256e-06 2.8651268e-05 1.7908686e-05 5.9432646e-06 3.8131564e-06 4.207621e-06 3.0373762e-06 3.5238825e-06 5.6539907e-06 6.337729e-06 2.2905237e-05 0.0001065317 8.402093e-06 8.204861e-06 6.7716396e-06 3.149141e-05 1.3556429e-05 3.193847e-05 1.9723222e-05 2.3391742e-05 3.0373762e-06 5.456758e-06 5.4830557e-06 8.54673e-06 8.165414e-06 1.0755731e-05 3.1688644e-05 0.00012186322 1.1400023e-05 1.10976e-05 1.5581347e-05 4.3851298e-05 3.448934e-05 3.1977917e-05 3.0163383e-05 6.636207e-05 6.4823657e-06 5.5488e-06 1.2359887e-05 3.017653e-05 1.55419e-05 3.062359e-05 7.1056194e-05 0.0002386773 4.869006e-05 7.309426e-05 7.074063e-05 9.223894e-05 9.469777e-05 9.355382e-05 7.7998775e-05 0.00015152694 2.9045732e-05 2.628448e-05 3.7697653e-05 7.6591845e-05 4.49295e-05 7.414617e-05 0.00014345357 0.06090576 0.060717613 0.060838055 0.06077297 0.06080918 0.06083127 0.0607842 0.06086234 0.060871005 0.060809456 0.06077757 0.060786065 0.060751077 0.060799897 0.06081465 0.06085933 173941.0 5.8605676 1019393.0 0.032642957 0.009853903 0.009883333 0.009866656 0.009903933 0.009969658 0.009904914 0.010029498 0.009754824 0.009921591 0.009747958 0.009837227 0.009940229 0.010165853 0.009924534 0.010130539 0.010183511 0.010158006 0.009912762 0.009914724 0.009962792 0.010009878 0.010083452 0.010130539 0.010106014 0.010063832 0.010543529 0.009838208 0.010600426 0.009924534 0.010582768 0.009862732 0.009957886 0.010410117 0.009978487 0.010314962 0.010371858 0.010560206 0.010040289 0.0100353835 0.010101109 0.010227655 0.009733243 0.009726376 0.0098068165 0.009993202 0.009918648 0.010000069 0.010018707 0.009710681 0.009895104 0.010336543 0.010085413 0.01002165 0.009823493 0.00988039 0.009811722 0.010043232 0.010149177 0.010050098 0.010029498 0.009932381 0.009875485 0.010153101 0.0098705795 0.011341062 0.010068737 0.010664189 0.01065536 0.012149387 0.010455241 0.010260027 0.010301229 0.011095819 0.009914724 0.009815645 0.010715201 0.010298286 0.011041865 0.011163506 0.010721086 0.00979014 0.011273376 0.011472514 0.011984583 0.010461127 0.010418945 0.010089338 0.010107976 0.010091299 0.009848017 0.0098009305 0.009956906 0.009905895 0.010028517 0.0098902 6.561474 6.0 38.0 0.0 554.0 38027376.0 598016.0 0.0 0.0 133.0 0.0 1.0 1.0 1.0 0.0 1483955800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 93696.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 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 -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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89600.0 -4096.0 456704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8617022 -5.9277205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8785386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3177686 -5.0098977 4.286371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22428.0 0.0 0.0 -3852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89428.0 -3902.0 456320.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 -3.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3902.0 126976.0 456320.0 139264.0 0.0 0.0 13432.0 38013944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 135168.0 0.0 0.0 0.0 0.0 576.0 127792.0 0.0 0.0 0.0 0.0


Input: 0.4843506 0.007714844 0.0044921874 0.0034667968 0.008650716 0.0020996095 0.0013834635 0.0024983725 0.009033203 0.0008219401 0.0025065104 0.0025634766 0.0018961589 0.0023111978 0.0011393229 0.0010416667 0.0045166016 0.001570638 0.0012532552 0.0013020834 0.0022705079 0.0006673177 0.0010253906 0.0006591797 0.0026529948 0.0007568359 0.0013346354 0.003458659 0.0028483074 0.0008789062 0.0016357421 0.0011311849 0.0051757814 0.0010335286 0.0008626302 0.004833984 0.002319336 0.001163737 0.0007324219 0.0006673177 0.0016438802 0.0015869141 0.0033772786 0.000773112 0.0015218098 0.0008870443 0.0013264974 0.0030843099 0.0021809896 0.0026123046 0.001953125 0.0013509115 0.0017659505 0.0014160157 0.0010335286 0.0005126953 0.0014160157 0.0005533854 0.0011230469 0.0005859375 0.0020751953 0.0014241537 0.0012125651 0.0014811198 0.0125 0.0024983725 0.0013183594 0.0016927083 0.003116862 0.0014811198 0.0017740886 0.0017578125 0.0021728515 0.0015136718 0.0012125651 0.0016031901 0.0021647136 0.0013020834 0.0013509115 0.0014648438 0.0030029297 0.0014078777 0.0020263672 0.0016194661 0.0025065104 0.0016927083 0.0017740886 0.0013183594 0.0021158855 0.0013102214 0.0010579427 0.00078125 0.0017822266 0.0010009765 0.00092773436 0.0014160157 0.005517578 0.0018880208 0.000789388 0.0013671875 0.003971354 0.0026367188 0.002416992 0.0009602865 0.0037841797 0.0017415364 0.000764974 0.002701823 0.008707683 0.0016276041 0.001944987 0.0020100912 0.0038655598 0.0017252604 0.0028564453 0.0017740886 0.004573568 0.002018229 0.0016276041 0.001578776 0.0034261069 0.0018798828 0.0011149088 0.0017740886 0.0012044271 0.000773112 0.001554362 0.0009684245 0.00460612 0.0013264974 0.00083821616 0.00068359374 0.0018717448 0.0008951823 0.0018636067 0.0005289714 0.0009847005 0.0013183594 0.0018391927 0.00070800784 0.0025390624 0.00071614585 0.0016113281 0.0008544922 0.0010660808 0.0010253906 0.0006591797 0.0009358724 0.0021402994 0.0020914713 0.0004231771 0.00060221355 0.0009033203 0.0041503906 0.0006184896 0.0006673177 0.0025227864 0.00061035156 0.002286784 0.001163737 0.004345703 0.0010986328 0.0014811198 0.0006510417 0.0007324219 0.0008626302 0.00059407554 0.0006266276 0.0011149088 0.00083007815 0.0016845703 0.0008219401 0.0011311849 0.0010091146 0.00069986976 0.0006510417 0.00095214846 0.0009033203 0.0010498047 0.00069173175 0.0010253906 0.0025146485 0.000764974 0.00060221355 0.0014078777 0.000773112 0.0008626302 0.0006429037 0.0014648438 0.0016601563 0.0007405599 0.0010660808 0.005021159 0.0008789062 0.0008626302 0.0015625 0.0011800131 0.0015218098 0.0013671875 0.0008870443 0.00091959635 0.0004720052 0.00059407554 0.0011230469 0.0022949218 0.0010823568 0.001936849 0.0008951823 0.0014322917 0.0009033203 0.0010335286 0.0009358724 0.00095214846 0.0011067708 0.0011393229 0.0009440104 0.0009033203 0.0008951823 0.0010091146 0.0018229167 0.0011230469 0.0012369792 0.0010660808 0.0010579427 0.00472819 0.0007486979 0.0012939454 0.0025960286 0.0016682943 0.0009440104 0.0014322917 0.0017252604 0.00095214846 0.00091959635 0.0006429037 0.0014567057 0.002400716 0.0006673177 0.0009928385 0.0013427734 0.0015625 0.00081380206 0.0022379558 0.0015218098 0.0035644532 0.004679362 0.0006347656 0.0011881511 0.0012288411 0.0010904948 0.00083007815 0.0054443358 0.004597982 0.0035888671 0.0060221353 0.0579834 0.17574432 1.6412816e-05 0.0 8.206408e-06 4.5135243e-05 4.103204e-05 8.616728e-05 4.5135243e-05 0.0 0.0 0.0 0.0 8.206408e-06 0.0 0.0 0.00047597164 0.015477285 7.385767e-05 0.0 7.385767e-05 0.0 0.0 0.0 5.7444853e-05 0.0 0.0 0.0 0.0 8.206408e-06 0.0 0.0 0.0011160715 0.015263918 0.00012719932 9.847689e-05 6.975447e-05 9.437369e-05 5.7444853e-05 0.00016002495 0.00012719932 2.8722427e-05 1.23096115e-05 1.6412816e-05 3.6928835e-05 4.103204e-05 3.2825632e-05 3.2825632e-05 0.0006072742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0071108523 8.206408e-05 0.00012309612 0.00020105699 0.00017233456 6.975447e-05 0.00036928835 0.00014771534 4.103204e-05 8.206408e-06 1.6412816e-05 3.6928835e-05 8.206408e-06 0.0 8.206408e-06 8.206408e-06 0.026338466 0.00019285058 0.00015181855 0.00023388262 5.7444853e-05 9.437369e-05 0.000221573 0.0003118435 0.00025029544 0.0005293133 0.00033235952 0.00042263 0.0005334165 0.00070164783 0.00040621718 0.0028353138 0.0065979515 0.00025439865 0.00025850185 7.7960874e-05 0.00023388262 7.7960874e-05 0.00027491467 8.206408e-05 6.5651264e-05 5.7444853e-05 4.103204e-05 2.8722427e-05 4.103204e-05 5.334165e-05 4.5135243e-05 0.0002133666 0.038118765 0.0007467831 0.0016453847 0.00070985424 0.002818901 0.002375755 0.0018423385 0.0012063419 0.00049648766 0.00097245927 0.00056624215 0.00055803574 0.0006359966 0.0007590927 0.0007221639 0.00464893 0.034261752 0.0008001247 0.0026424632 0.0018218225 0.0049156384 0.003643645 0.0036559545 0.0035164456 0.0005334165 0.00037749475 0.0001066833 9.847689e-05 0.00013130253 0.00018464417 0.00035697874 0.0017766872 0.042464055 0.0021705949 0.0013868829 0.0016741072 0.0034713105 0.0017233456 0.004468389 0.003684677 0.0016166623 0.0017561712 0.00038980437 0.001025801 0.0007631959 0.00054982933 0.0007590927 0.0077263326 0.08655298 0.0073611476 0.0058757877 0.0041360296 0.006204044 0.0040252428 0.0097410055 0.008013557 0.0039021468 0.0051659336 0.0025398831 0.0026424632 0.0040744813 0.0034507944 0.00496898 0.034622833 0.07087053 0.007677094 0.007242155 0.00527672 0.007672991 0.004878709 0.010409828 0.006680016 0.005075663 0.004308364 0.003179983 0.0032456343 0.0044848016 0.0031963957 0.005674731 0.035000328 0.0029255843 0.00029132748 0.00013540573 0.00033235952 0.0017931 0.00040211398 0.0005129005 0.0006524094 0.00017233456 0.00017233456 0.00012719932 0.00028722428 0.00029543068 9.0270485e-05 0.0001066833 0.0001066833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011086857 0.008321297 0.01160386 0.008243336 0.011681821 0.008514148 0.011287914 0.008370535 0.011173024 0.0086823795 0.01116892 0.008858817 0.011747472 0.008686482 0.0116161695 0.008620831 234.0 8.790598 2057.0 0.019445796 0.003889159 0.00097228977 0.0029168692 0.0014584346 0.0024307244 0.0014584346 0.0019445795 0.0024307244 0.003403014 0.00097228977 0.0024307244 0.0014584346 0.003403014 0.010209043 0.003403014 0.004861449 0.003403014 0.0053475937 0.004861449 0.0014584346 0.0014584346 0.003403014 0.00097228977 0.0024307244 0.0014584346 0.0024307244 0.0029168692 0.0019445795 0.0024307244 0.00097228977 0.00097228977 0.014098201 0.018473506 0.013125911 0.009722898 0.009722898 0.015556636 0.015556636 0.010695187 0.0063198833 0.012153622 0.0043753036 0.008750607 0.007778318 0.014098201 0.009722898 0.007778318 0.004861449 0.0029168692 0.010695187 0.014098201 0.011181332 0.003889159 0.007778318 0.004861449 0.00097228977 0.0024307244 0.0014584346 0.00097228977 0.003403014 0.003889159 0.0014584346 0.006806028 0.0150704915 0.04521147 0.0053475937 0.015556636 0.01895965 0.07875547 0.014098201 0.0150704915 0.009236753 0.039377734 0.0029168692 0.02187652 0.03986388 0.025279533 0.04278075 0.03597472 0.016528925 0.0029168692 0.036460865 0.025279533 0.049586777 0.014584346 0.006806028 0.021390375 0.010695187 0.010695187 0.0029168692 0.003889159 0.0043753036 0.0019445795 0.00097228977 0.0024307244 5.7967367 0.0 0.0 0.0 1.0 122880.0 106496.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1127876600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 4.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -61440.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.3093204 0.0 0.0 -5.0355396 0.0 3.8161736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3132.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -58432.0 0.0 12400.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 62196.0 12400.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 592.0 148.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056605276 0.008296412 0.006169047 0.0056426357 0.0057553644 0.0049683326 0.0041957796 0.0054223496 0.0050469325 0.0056209173 0.0037479678 0.0044657076 0.0049486826 0.00317088 0.004315748 0.0046353177 0.005039693 0.0037572756 0.0049321353 0.0041657877 0.0043602185 0.0031729485 0.0041099405 0.0038307044 0.005080027 0.0033404902 0.0031677773 0.0029340466 0.004147172 0.003435637 0.0037872677 0.003793473 0.0061700814 0.003819328 0.0034894159 0.0030240226 0.0048824935 0.004161651 0.0038420807 0.0037231469 0.004734602 0.0038968937 0.0033322163 0.0031046907 0.0043695266 0.0037128048 0.0037272836 0.0035773236 0.005510257 0.0039517065 0.0030933144 0.00289061 0.003674539 0.0030798698 0.0026899735 0.0028657888 0.004173027 0.0033136006 0.0035121685 0.0033560032 0.004009622 0.0032318982 0.0035007922 0.003459424 0.0065972093 0.0039568776 0.003624897 0.003230864 0.004153377 0.003220522 0.003539058 0.003066425 0.005000393 0.0037676177 0.003703497 0.0035876657 0.004134761 0.003125375 0.0035556052 0.0034708001 0.005168969 0.0036135209 0.0036517866 0.0033311823 0.0039248173 0.0033797899 0.00336014 0.0035328527 0.004646694 0.0036559233 0.0038058835 0.0035049291 0.0041058036 0.003380824 0.0036972917 0.0037945071 0.005907393 0.0036311024 0.0033363532 0.0029578332 0.004012725 0.0030478092 0.0032732666 0.0030385014 0.004969367 0.0031677773 0.0031977694 0.0030550489 0.0035783579 0.0028430363 0.0030974513 0.0031915642 0.004507076 0.0032929166 0.00322983 0.0031398537 0.0038793122 0.0033280796 0.0032867112 0.0036300682 0.0046270443 0.0032918823 0.0034708001 0.0031770852 0.0040344433 0.0031915642 0.0034656292 0.0033435926 0.008639769 0.0045949835 0.004023067 0.0035266473 0.004367458 0.003444945 0.003021954 0.0033922005 0.0045484444 0.003838978 0.0029650726 0.003186393 0.0037303863 0.00279236 0.0028430363 0.0029826544 0.005228953 0.0032184536 0.0034925186 0.003031262 0.0036714363 0.003186393 0.0033032587 0.0032711981 0.0045443075 0.002835797 0.0030467752 0.0026951446 0.003514237 0.003221556 0.002980586 0.0031522643 0.0050107352 0.003414953 0.0032711981 0.00281201 0.0037758914 0.0030178174 0.003056083 0.0031894958 0.004137864 0.0029929962 0.0031191697 0.0030188516 0.0036507524 0.0028337284 0.0029174993 0.0030395356 0.0046684123 0.0031171013 0.0038503543 0.002861652 0.003570084 0.003165709 0.002986791 0.003120204 0.0042599007 0.0031491616 0.0033332505 0.0031770852 0.003648684 0.0031988036 0.0033270454 0.0033384217 0.0067171776 0.004060298 0.00371901 0.0033425584 0.0041264878 0.0032618903 0.003305327 0.0032339667 0.004331261 0.0033342848 0.0031243407 0.0030757328 0.0036373076 0.0029847226 0.0030778013 0.002796497 0.004251627 0.0032732666 0.0030953828 0.0030012701 0.0037128048 0.0030291935 0.0029340466 0.0029474911 0.003977562 0.0031129643 0.002732376 0.0026392974 0.0035400921 0.0029485254 0.003589734 0.0028875072 0.0049517853 0.0032494797 0.0033911662 0.0029692096 0.0038048492 0.0030746988 0.003200872 0.0029040545 0.0044460576 0.005449239 0.003469766 0.0031295118 0.0037976098 0.0030912461 0.0032463772 0.0031822564 0.0046146335 0.0033239427 0.003414953 0.0030364331 0.0037365914 0.0030850407 0.0033208402 0.0032525824 0.004351945 0.0030519462 0.0031843248 0.0028575151 0.004017896 0.0030984855 0.0042268056 0.0045091445 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09911074 0.062006023 0.06245081 0.05531714 0.060605902 0.05955219 0.05497384 0.054470543 0.060497686 0.053178642 0.052168943 0.05298136 0.056438167 0.0505907 0.05665823 0.053855922 4039.0 5.7031446 23035.0 0.017147819 0.010635989 0.00946386 0.008639027 0.013501193 0.012459301 0.011894942 0.01146082 0.012589538 0.009724333 0.008508791 0.008812676 0.013805079 0.010505752 0.011677882 0.009854569 0.016670285 0.011894942 0.00868244 0.0074668983 0.009854569 0.008552203 0.00790102 0.008378554 0.010201867 0.008508791 0.009550684 0.008942913 0.0114174085 0.008986325 0.009550684 0.009246798 0.018189711 0.010809638 0.010375516 0.009029738 0.010809638 0.008899501 0.010722813 0.00829173 0.014195789 0.011634469 0.009724333 0.008942913 0.011504233 0.009290211 0.011634469 0.009550684 0.014716735 0.009550684 0.009897982 0.009116562 0.012112004 0.009377035 0.009550684 0.009767745 0.01363143 0.009246798 0.010592576 0.009550684 0.011113523 0.009767745 0.01046234 0.010635989 0.017885827 0.010983286 0.009637509 0.008161494 0.01302366 0.008204905 0.009333623 0.00829173 0.01541133 0.009290211 0.008899501 0.008725852 0.011330584 0.008118081 0.010028218 0.007814196 0.013153897 0.0080312565 0.00868244 0.008899501 0.011373996 0.009420447 0.008378554 0.0080312565 0.011113523 0.008899501 0.011894942 0.008465379 0.011373996 0.009029738 0.010115042 0.008812676 6.5549498 0.0 0.0 0.0 14.0 966924.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20463124 0.005371661 0.0037588016 0.0033187247 0.004861262 0.0035932055 0.002708515 0.0026699514 0.0060340445 0.002243485 0.0030124856 0.0017013284 0.004387159 0.0030238277 0.0015652222 0.006780361 0.0038971764 0.0018555821 0.0012136142 0.0013247677 0.0022979276 0.0017897974 0.0028446212 0.0020370572 0.0030283646 0.002905869 0.0025882877 0.0028423527 0.0035932055 0.0027969838 0.0028423527 0.0028559633 0.02330593 0.0029126743 0.0032733558 0.0027448097 0.00582308 0.0031780815 0.0024725972 0.0029852642 0.0037451908 0.0029693851 0.0038790288 0.0064673163 0.0063901893 0.0051221326 0.0040332824 0.0043644747 0.004967879 0.0025814823 0.0024363024 0.004902094 0.0022729747 0.0023841283 0.002393202 0.0019803462 0.0021119157 0.0024226916 0.0017671131 0.0030760018 0.0019984937 0.0021777004 0.001751234 0.0019826146 0.003972035 0.0036385744 0.0066896235 0.002486208 0.0074359393 0.007206827 0.0028831845 0.002263901 0.00264273 0.0027833732 0.001751234 0.0015470746 0.0031531285 0.0036090845 0.0026087034 0.00198942 0.0054215663 0.002216264 0.0024794026 0.002921748 0.0031871551 0.0030805387 0.0032869664 0.0037361172 0.0014903636 0.003268819 0.0010911187 0.002393202 0.0013587943 0.0033005772 0.0020960367 0.0021890425 0.0010570921 0.004427991 0.0014177737 0.002409081 0.0035274208 0.006453706 0.003212108 0.0016967915 0.0038087072 0.002921748 0.003454831 0.0011387558 0.0025610663 0.0020211781 0.003445757 0.00376107 0.0021595529 0.0009822336 0.0041580466 0.0046480293 0.009044262 0.0070366943 0.0014880953 0.0013043517 0.0011931983 0.0015380009 0.00078714796 0.0006056729 0.0010797764 0.0016604965 0.0015811012 0.0013179624 0.0030034117 0.0020733522 0.0015538799 0.007308907 0.002025715 0.006381116 0.000875617 0.0008620064 0.0016196646 0.0062926468 0.0014835583 0.015625 0.0022548272 0.00782611 0.0017058653 0.00081890606 0.002724394 0.002005299 0.0012635199 0.00089830137 0.0010276024 0.0010230655 0.0005739148 0.0005217407 0.00081890606 0.0007281686 0.0007531214 0.00058979384 0.0007735373 0.0007349739 0.00050813006 0.00086654327 0.00090283825 0.0012272248 0.0009822336 0.0011274136 0.0011637086 0.0009391333 0.00055349886 0.0018691928 0.001202272 0.0006759945 0.0011886614 0.000859738 0.0010502867 0.0008801539 0.0007009473 0.00094367017 0.0011251452 0.0007599267 0.0023614438 0.0077739367 0.0045527546 0.0017716499 0.00198942 0.0014041631 0.0018964141 0.0013270362 0.0016015171 0.00086654327 0.0013088887 0.0011319505 0.0010389446 0.00090056984 0.0052037966 0.0036068163 0.002449913 0.0032234502 0.0026858305 0.0012136142 0.002683562 0.0026608775 0.002300196 0.0025542611 0.001606054 0.001093387 0.0057164636 0.0010797764 0.0012113458 0.0013996261 0.0017308181 0.0013202309 0.0012657883 0.0014926321 0.0018124819 0.0012317618 0.0011818561 0.0010230655 0.0020234466 0.001497169 0.001258983 0.0014835583 0.0018215555 0.0012521778 0.0014563372 0.0036045478 0.0045187282 0.0016310068 0.004019672 0.0038109757 0.0024952816 0.0035977424 0.0033708988 0.0037996334 0.011648429 0.0060930243 0.0035206156 0.005165233 0.0066102277 0.0026495354 0.0024363024 0.002216264 0.003393583 0.0030079486 0.0012839359 0.0011092661 0.0011977352 0.001258983 0.0026381933 0.0012907411 0.00339812 0.0015039743 0.0012499093 0.00082117453 0.0021164524 0.0025610663 0.015890406 0.084624074 0.0045686737 9.3331146e-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 0.006501311 1.5934585e-05 2.9592804e-05 7.398201e-05 2.6178248e-05 1.1381848e-06 4.4389206e-05 3.414554e-05 1.1381848e-06 0.0 0.0 0.0 0.0 0.0 9.105478e-06 0.00025609156 0.008454436 9.105478e-06 9.105478e-06 9.3331146e-05 2.162551e-05 1.1381848e-06 4.552739e-06 8.650204e-05 7.967293e-06 3.4145542e-06 0.0 0.0 1.1381847e-05 0.0 7.739656e-05 0.0005440523 0.0060118916 0.00015137857 2.5040064e-05 0.00023560424 5.4632867e-05 1.934914e-05 2.2763695e-06 4.552739e-06 1.1381848e-06 1.1381848e-06 2.2763694e-05 2.2763695e-06 1.1381848e-06 0.00012747668 0.0 0.00033234994 0.0019701978 1.934914e-05 3.073099e-05 2.2763694e-05 5.4632867e-05 4.4389206e-05 7.170564e-05 5.4632867e-05 1.1381847e-05 6.8291083e-06 3.4145542e-06 2.2763695e-06 6.8291083e-06 1.1381848e-06 1.8210956e-05 1.2520032e-05 0.0037753587 0.00019007685 0.0015502076 5.8047422e-05 0.00014113491 0.00018438592 1.4796402e-05 2.390188e-05 2.162551e-05 9.67457e-05 1.02436625e-05 4.2112835e-05 8.422567e-05 6.8291083e-06 2.162551e-05 0.0007716892 0.011740375 0.0007113655 0.0032893538 0.0005303941 0.00056112505 0.0001638986 0.00083201303 0.00068973994 0.00020487326 0.00010585118 3.7560098e-05 6.601471e-05 0.000116094845 3.7560098e-05 0.00012747668 0.0017653245 0.019454991 0.0004268193 0.0025279082 0.00082973664 0.00181199 0.0007978675 0.0042363238 0.0023139296 0.00013544399 0.00012292396 6.2600164e-05 0.00010812755 0.00016845134 0.00010016026 0.00011268029 0.0017550809 0.030241568 0.0025119737 0.009269376 0.0015456548 0.0037013767 0.0028306653 0.0071261744 0.0036831659 0.00037218642 0.00023560424 7.739656e-05 0.00023332787 0.00022422239 0.00030161894 0.0086547565 0.00824501 0.010479267 0.0015741095 0.0028659492 0.0006931545 0.0012770433 0.0015012657 0.0019554014 0.001170054 0.00067266717 0.0003209681 0.00040405558 0.0005349468 0.0006567326 0.000893475 0.007109102 0.0075188484 0.021159992 0.008334926 0.0145642115 0.007884205 0.00529825 0.0018586557 0.0048122453 0.003142528 0.0036091837 0.0024641699 0.0010004644 0.012505236 0.002483519 0.0030583024 0.012440359 0.023588879 0.014838514 0.0050501255 0.010776333 0.0068336613 0.0070897527 0.0030970008 0.0026030284 0.0019303613 0.0037298314 0.0019394668 0.00248921 0.004681354 0.0047416775 0.0057762875 0.010774056 0.023206448 0.007601936 0.0022410857 0.0048111067 0.003924461 0.003585282 0.0021727947 0.0019997905 0.0013715127 0.0029535894 0.00089802773 0.0008206312 0.0022752313 0.0020293833 0.0024379918 0.003198299 0.01129193 0.06911513 0.00937409 0.02329978 0.009295555 0.018130144 0.015611342 0.013334973 0.014322917 0.02501161 0.005058093 0.005088824 0.0061780666 0.015027453 0.0062235943 0.012517756 0.02746895 0.032682974 0.006187172 0.007764696 0.006444402 0.011675499 0.011124617 0.0062076594 0.008999627 0.019552875 0.0023025477 0.0027498542 0.0031459427 0.011102992 0.004286404 0.008646789 0.015634105 0.0099238325 0.0038413734 0.0029467603 0.0027282287 0.003308703 0.0042055924 0.004170309 0.0028192836 0.00561808 0.002285475 0.003529511 0.0020897072 0.004122505 0.002168242 0.0040018577 0.005177602 1494.0 9.81593 14665.0 0.09423798 0.004568701 0.004295943 0.0033412888 0.0102284355 0.0038186158 0.0027275826 0.008319127 0.0065461984 0.0038868054 0.0038186158 0.0057279235 0.006137061 0.0047050803 0.011319468 0.0038186158 0.0053869756 0.0045005116 0.0042277533 0.0032049096 0.0034094783 0.0028639617 0.0032049096 0.0027957722 0.0035458575 0.0048414594 0.0037504262 0.005046028 0.0045005116 0.0043641324 0.0030685305 0.0055233547 0.01418343 0.008182748 0.004091374 0.008387317 0.009205592 0.008523696 0.0049778386 0.0075008525 0.0071599046 0.009001023 0.003000341 0.003000341 0.0078418 0.0037504262 0.0065461984 0.0049778386 0.018138425 0.0029321513 0.006137061 0.01261507 0.013978861 0.0072962837 0.009955677 0.009273781 0.002523014 0.003000341 0.0018411183 0.0072962837 0.008114559 0.0033412888 0.0021138766 0.012478691 0.0042277533 0.035867713 0.008523696 0.022707125 0.026116604 0.06457552 0.011864984 0.009273781 0.008728265 0.025502898 0.008114559 0.0036822367 0.022434367 0.01425162 0.03000341 0.040777363 0.012683259 0.0022502558 0.04234572 0.033549268 0.049914762 0.016638255 0.00627344 0.004091374 0.005046028 0.008796454 0.0022502558 0.0008182748 0.0012956017 0.0011592227 0.0012274123 0.0019093079 5.820202 1.0 0.0 0.0 3.0 440832.0 483328.0 1.0 0.0 67.0 0.0 1.0 0.0 0.0 0.0 1415279600.0 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 6.0 0.0 6.0 0.0 158208.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158208.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4685087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1449385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.849381 0.0 6.0926933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107086.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158139.0 0.0 163504.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 269364.0 163504.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164224.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 262944.0 0.0 0.0 272.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.9816565 0.0003476054 0.00011328953 4.2552652e-05 8.6210566e-05 3.7578964e-05 4.0894756e-05 0.00010886847 0.0001337369 2.4315801e-05 3.260528e-05 1.5473692e-05 0.00011494742 0.00023486852 3.7578964e-05 0.00011439479 0.00011936847 9.339478e-05 4.586844e-05 1.4921059e-05 8.6210566e-05 7.571056e-05 9.947373e-06 3.0947383e-05 3.4263172e-05 2.1000009e-05 0.00017739482 0.00010500005 0.000121579 8.4000036e-05 5.5263183e-05 1.2710532e-05 0.00012434216 1.6026323e-05 3.5921068e-05 1.21579005e-05 1.7131586e-05 2.1000009e-05 1.4368427e-05 1.2710532e-05 6.24474e-05 1.3815796e-05 9.947373e-06 2.7631591e-05 2.3763168e-05 2.1000009e-05 0.00011715795 0.00010223689 4.9184233e-05 2.9289487e-05 3.315791e-05 0.00027742118 5.084213e-05 3.868423e-05 2.5973695e-05 3.8131595e-05 3.315791e-05 0.00010168426 2.9289487e-05 6.410529e-05 5.084213e-05 4.2000018e-05 4.9184233e-05 5.8578975e-05 6.742108e-05 2.8736855e-05 2.0447378e-05 5.0289495e-05 3.2052645e-05 0.00016523691 4.9736864e-05 3.978949e-05 3.2052645e-05 3.2052645e-05 1.4368427e-05 8.289478e-06 3.315791e-05 5.084213e-05 2.3210536e-05 1.5473692e-05 0.00020447378 3.923686e-05 3.315791e-05 9.6157935e-05 2.0447378e-05 7.571056e-05 7.46053e-05 9.394741e-05 6.631582e-05 2.8184224e-05 1.823685e-05 3.371054e-05 3.4815806e-05 5.139476e-05 3.4815806e-05 4.7526337e-05 2.4868432e-05 8.3447405e-05 1.7131586e-05 6.742108e-05 7.957898e-05 0.00017021061 0.000109973735 2.8184224e-05 7.847372e-05 8.786846e-05 7.0184244e-05 1.6026323e-05 8.952636e-05 5.0289495e-05 0.00046973705 0.00011163163 3.8131595e-05 9.394741e-06 0.00011163163 0.00010334215 0.00021773695 0.00016413165 3.1500014e-05 7.405267e-05 3.923686e-05 2.7631591e-05 9.947373e-06 1.6578955e-05 2.2657905e-05 4.586844e-05 1.2710532e-05 2.4315801e-05 6.24474e-05 2.3210536e-05 9.394741e-06 0.000119921104 6.1342136e-05 0.00016192113 1.4368427e-05 2.1552642e-05 5.3052656e-05 0.00012821058 1.1052636e-05 0.00026857905 4.476318e-05 9.8368466e-05 1.21579005e-05 1.1605268e-05 0.00027576328 2.1552642e-05 7.736846e-06 1.05000045e-05 1.9342115e-05 1.4921059e-05 1.05000045e-05 9.394741e-06 1.1605268e-05 1.5473692e-05 8.842109e-06 8.289478e-06 1.8789482e-05 1.3263164e-05 9.394741e-06 7.1842137e-06 1.1052636e-05 2.5421064e-05 1.1605268e-05 1.7131586e-05 1.05000045e-05 1.7684219e-05 9.394741e-06 9.394741e-06 2.3763168e-05 2.2657905e-05 3.315791e-05 1.5473692e-05 1.7131586e-05 2.1552642e-05 2.0447378e-05 4.9736864e-05 2.4868432e-05 1.21579005e-05 1.6578955e-05 2.0447378e-05 1.8789482e-05 4.3657914e-05 2.3763168e-05 3.64737e-05 4.3105283e-05 2.0447378e-05 2.4315801e-05 2.4315801e-05 2.2105272e-05 3.2052645e-05 3.2052645e-05 4.8078968e-05 0.00016136849 3.315791e-05 6.686845e-05 5.5263183e-05 3.4815806e-05 3.2052645e-05 5.084213e-05 5.9684236e-05 3.8131595e-05 5.9131606e-05 3.1500014e-05 3.315791e-05 7.3500036e-05 3.923686e-05 4.531581e-05 3.039475e-05 4.8078968e-05 4.9184233e-05 7.239477e-05 4.3657914e-05 5.692108e-05 5.4710552e-05 6.410529e-05 5.3052656e-05 7.0736874e-05 4.8078968e-05 6.07895e-05 6.797371e-05 7.29474e-05 4.4210545e-05 7.3500036e-05 5.9684236e-05 9.5052674e-05 6.410529e-05 7.515793e-05 7.515793e-05 7.239477e-05 6.465792e-05 7.3500036e-05 7.405267e-05 0.00014534217 8.952636e-05 6.24474e-05 9.89211e-05 0.00011439479 4.9736864e-05 5.9684236e-05 7.681582e-05 0.00013760533 5.802634e-05 6.300003e-05 5.5815814e-05 6.07895e-05 4.9736864e-05 7.239477e-05 6.576319e-05 0.00011660532 6.742108e-05 0.00017739482 0.00031500013 0.00041889492 0.0003470528 0.00037413175 0.002269659 0.97508496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005474501 8.2946985e-07 5.529799e-07 1.0230128e-05 8.2946985e-07 8.2946985e-07 5.529799e-07 5.529799e-07 2.7648994e-07 5.529799e-07 2.7648994e-07 8.2946985e-07 5.529799e-07 8.2946985e-07 8.2946985e-07 2.7648994e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00045842034 2.2119195e-06 1.3824498e-06 4.976819e-06 8.847678e-06 1.16125775e-05 3.8985083e-05 2.1842707e-05 6.635759e-06 2.2119195e-06 1.1059598e-06 2.7648996e-06 1.3824498e-06 1.1059598e-06 1.3824498e-06 1.3824498e-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 0.00074624637 1.18890675e-05 4.4514883e-05 0.00010478969 1.4100988e-05 1.3548008e-05 7.935261e-05 4.866223e-05 1.1059598e-05 8.847678e-06 1.0230128e-05 7.4652285e-06 1.13360875e-05 5.253309e-06 5.253309e-06 9.953638e-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 0.0011725939 0.0001786125 0.00018497178 0.00011750823 7.216388e-05 0.00010340724 0.00046339715 0.00018635423 3.0966876e-05 1.9907277e-05 4.3685413e-05 2.5437075e-05 3.3455282e-05 0.00010589565 0.00029086744 0.00093453604 0.001651198 0.00027427802 0.00011861419 0.0001681059 0.00010340724 8.626487e-05 0.00039759255 0.00017446515 6.939898e-05 4.3408923e-05 4.562084e-05 0.00011750823 0.0002062615 0.00035611907 0.00038929784 0.0014609729 0.00089029764 0.0001321622 7.382282e-05 9.455956e-05 2.4054625e-05 7.7970166e-05 0.00011363737 2.5437075e-05 6.552812e-05 3.3731772e-05 5.750991e-05 9.732446e-05 0.00015206948 0.00019354296 0.00013962743 0.0006599815 0.0009948108 0.00013354464 5.723342e-05 0.00017031781 6.303971e-05 9.179466e-05 0.00011031949 6.8846e-05 8.709433e-05 5.087415e-05 7.658772e-05 6.718706e-05 0.00011529631 0.00012524995 0.0001291208 0.00048994017 0.0010578505 0.00018967211 8.267049e-05 0.00017805953 0.00022368037 0.00030745682 0.00021289726 0.0002256158 0.0004780511 0.00016147013 5.695693e-05 8.2394006e-05 0.00019216051 0.00010340724 0.00020930289 0.0007683656 0.0006104898 0.00015455789 5.695693e-05 0.00011972015 0.00014349828 0.00025409425 0.00011750823 0.00019022508 0.00035280117 0.00014128636 2.3501645e-05 4.0920513e-05 0.00013105624 4.3408923e-05 0.00012552644 0.00032570516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 14.859375 4755.0 0.030914826 0.0025236593 0.009884332 0.0014721346 0.0010515247 0.0012618296 0.0014721346 0.0025236593 0.016403785 0.0025236593 0.0025236593 0.0016824396 0.0025236593 0.004837014 0.037644584 0.038065195 0.0031545742 0.004837014 0.007360673 0.006940063 0.009253417 0.0054679285 0.003785489 0.0021030493 0.003575184 0.011777077 0.006940063 0.003575184 0.006519453 0.007781283 0.0082018925 0.005678233 0.0031545742 0.0052576237 0.0031545742 0.009253417 0.003995794 0.0054679285 0.0046267086 0.0054679285 0.003995794 0.007150368 0.0021030493 0.0014721346 0.006519453 0.0031545742 0.0042060986 0.0018927444 0.007360673 0.003575184 0.0050473185 0.009884332 0.003785489 0.010094637 0.004416404 0.012618297 0.019558359 0.0023133543 0.0014721346 0.003785489 0.0027339642 0.0033648792 0.0025236593 0.008832808 0.0021030493 0.025657203 0.003785489 0.020609884 0.02208202 0.052155625 0.006940063 0.007360673 0.007991588 0.026498422 0.0031545742 0.0029442692 0.025236594 0.01577287 0.17076762 0.030494217 0.007360673 0.0021030493 0.031756047 0.028391168 0.03701367 0.009884332 0.0050473185 0.007991588 0.007360673 0.007991588 0.0010515247 0.0004206099 0.0010515247 0.0008412198 0.0008412198 0.0008412198 5.518241 0.0 0.0 0.0 5.0 1809523.0 57344.0 1.0 0.0 92.0 1.0 1.0 0.0 0.0 0.0 1247528400.0 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 -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 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 14848.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.419017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.22914022 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.45275 0.0 5.725355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14749.0 0.0 26464.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 0.0 0.0 3.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 16556.0 26464.0 24576.0 0.0 0.0 0.0 0.0 592.0 53248.0 56.0 18748.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 9784.0 108.0 624.0 388.0 4096.0 64.0 16384.0 0.0 0.0


Input: 0.31424534 0.12026726 0.011906802 0.012549255 0.013320198 0.013148878 0.013020387 0.011307178 0.0017132089 0.0013705671 0.0014990577 0.0006424533 0.002098681 0.0011992462 0.0014562275 0.00051396264 0.0023984923 0.00094226486 0.003083776 0.0008137742 0.004068871 0.002098681 0.0022700017 0.0005567929 0.002698304 0.0004283022 0.0002141511 0.00025698132 0.0004283022 0.00072811375 0.0005996231 0.0018416995 0.0055250986 0.0016275484 0.0011135858 0.009251328 0.002141511 0.003683399 0.0016275484 0.0011992462 0.0023984923 0.0014990577 0.0012849066 0.0012420764 0.0013705671 0.0018416995 0.0049683056 0.0008994346 0.0051824567 0.004068871 0.004068871 0.00980812 0.004240192 0.0032122666 0.0035549083 0.0029981155 0.0044971732 0.003126606 0.0044971732 0.0011135858 0.0011992462 0.00094226486 0.0011992462 0.000985095 0.004411513 0.005610759 0.003083776 0.0067671747 0.004068871 0.0035549083 0.003683399 0.0021843412 0.00192736 0.0030409456 0.0014562275 0.0020558506 0.0018845297 0.0018845297 0.0013705671 0.0045828335 0.0034264177 0.0012420764 0.002698304 0.002098681 0.00197019 0.001541888 0.0016275484 0.0011135858 0.00197019 0.0010707555 0.0008566044 0.0006424533 0.0048826453 0.00025698132 0.0006424533 0.0010707555 0.0017560391 0.0072811376 0.0041545313 0.0051824567 0.0047969846 0.018888127 0.0035120782 0.0023556622 0.0018845297 0.0050967964 0.0020558506 0.00197019 0.004240192 0.003297927 0.0050111357 0.004839815 0.0033835873 0.002141511 0.0050539663 0.0044971732 0.0068956655 0.00385472 0.0016703786 0.00094226486 0.005653589 0.002098681 0.0010279253 0.0004283022 0.0008994346 0.0008137742 0.00047113243 0.00051396264 0.0024841528 0.0012849066 0.0005996231 0.00094226486 0.0014562275 0.0021843412 0.00068528356 0.00047113243 0.006253212 0.011521329 0.0025698133 0.0016703786 0.0028267945 0.00197019 0.0010707555 0.0010707555 0.0018416995 0.0020130205 0.0010707555 0.0011992462 0.00068528356 0.0017560391 0.00068528356 0.00068528356 0.00192736 0.001541888 0.00072811375 0.001156416 0.0005567929 0.005696419 0.0014990577 0.0008137742 0.0023556622 0.00094226486 0.0006424533 0.00068528356 0.00047113243 0.0005996231 0.00047113243 0.0006424533 0.0023984923 0.0004283022 0.00034264178 0.0005567929 0.0005996231 0.0035120782 0.00029981154 0.0002141511 0.0014562275 0.00051396264 0.0008994346 0.00029981154 0.0005996231 0.00047113243 0.00072811375 0.00072811375 0.0024841528 0.0008994346 0.000985095 0.000385472 0.0005567929 0.00047113243 0.00034264178 0.0004283022 0.0022271716 0.0005996231 0.00051396264 0.000770944 0.0005996231 0.00072811375 0.00047113243 0.0008994346 0.0032550967 0.0012420764 0.0014133973 0.000985095 0.0004283022 0.0036405688 0.00394038 0.000985095 0.0016275484 0.00068528356 0.00072811375 0.0006424533 0.0008137742 0.000385472 0.00072811375 0.00051396264 0.00197019 0.0011135858 0.00068528356 0.00068528356 0.000770944 0.0004283022 0.00197019 0.0004283022 0.0028696249 0.0006424533 0.0006424533 0.00051396264 0.00047113243 0.0006424533 0.0012849066 0.0008137742 0.0015847181 0.0016703786 0.0014990577 0.00047113243 0.0011135858 0.000985095 0.0008137742 0.0010707555 0.00094226486 0.0005567929 0.0005996231 0.00094226486 0.00051396264 0.0010707555 0.00034264178 0.0005567929 0.0012849066 0.0008566044 0.00029981154 0.00094226486 0.00094226486 0.0012849066 0.0036405688 0.0055250986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025181362 0.0 0.0006045387 0.008882068 0.001906622 0.0017438616 0.0073939734 0.001906622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025855655 0.0 0.000906808 0.0070684524 0.0024414062 0.0026506695 0.00625465 0.0024414062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12995256 0.0052780877 0.011625744 0.013090588 0.0109282 0.006859189 0.022925967 0.012253534 0.008393787 0.0025344123 0.0007207961 0.00109282 0.003092448 0.0015811012 0.0034877232 0.004278274 0.19961402 0.010439918 0.0056966147 0.0052083335 0.021182105 0.007998512 0.023832776 0.015485491 0.025692895 0.011625744 0.009579613 0.0057896203 0.013532366 0.007835751 0.007835751 0.009602864 0.111142114 0.0063709076 0.022135416 0.0152994795 0.010160901 0.0052548363 0.011067708 0.007254464 0.0052083335 0.010881697 0.0052083335 0.005487351 0.005998884 0.0051850816 0.005394345 0.006045387 0.018810455 0.0029296875 0.0026274181 0.0013253348 0.0052548363 0.0013950893 0.001953125 0.0011160715 0.0030691964 0.0008370536 0.000953311 0.0008370536 0.0018833706 0.0007905506 0.0017671131 0.0020693825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 14.067568 2082.0 0.02401537 0.00048030738 0.007684918 0.074927956 0.008165225 0.02017291 0.009125841 0.010086455 0.010086455 0.0033621518 0.009606148 0.007204611 0.009125841 0.011527377 0.012007685 0.003842459 0.008165225 0.008165225 0.0062439963 0.0715658 0.010086455 0.00048030738 0.002401537 0.00096061477 0.004322767 0.00096061477 0.0052833813 0.0033621518 0.008165225 0.003842459 0.0062439963 0.00096061477 0.0028818443 0.010086455 0.004322767 0.017771374 0.0062439963 0.0067243036 0.0062439963 0.0129683 0.003842459 0.009606148 0.0014409221 0.00048030738 0.0057636886 0.007684918 0.00096061477 0.003842459 0.0052833813 0.0019212295 0.0033621518 0.009606148 0.004803074 0.0019212295 0.00096061477 0.0057636886 0.002401537 0.0 0.00048030738 0.0014409221 0.00096061477 0.0 0.0014409221 0.00048030738 0.00096061477 0.031700287 0.0062439963 0.019212296 0.021133525 0.07925072 0.0062439963 0.007204611 0.0028818443 0.030259365 0.002401537 0.002401537 0.026416907 0.018731989 0.030259365 0.03506244 0.009125841 0.002401537 0.0326609 0.034582134 0.052353505 0.015369836 0.0062439963 0.003842459 0.010086455 0.004803074 0.0014409221 0.0 0.00096061477 0.0 0.00096061477 0.00048030738 5.594782 0.0 0.0 0.0 2.0 23348.0 28672.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1097643100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27.0 17.0 5.0 1.0 5.0 1.0 3584.0 1024.0 0.0 4.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 -4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1777835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.535869 -6.1098795 4.8585386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3445.0 -3924.0 5576.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3924.0 16384.0 5576.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0