Input: 0.016808333 0.00623578 0.003570475 0.0035892078 0.0035152757 0.0035477458 0.003516025 0.0035512426 0.0035772189 0.0034907982 0.003557237 0.0034868016 0.003503037 0.0035327596 0.0034870515 0.0035430002 0.0035744712 0.0034640725 0.0034912976 0.003511529 0.003500539 0.0035647303 0.003503037 0.0035087815 0.0035532408 0.0038085065 0.0035240175 0.0035484952 0.0035312609 0.0035382546 0.0035407522 0.0035504934 0.0035864604 0.003476561 0.003557487 0.0035187723 0.0035150258 0.0035847118 0.0035285135 0.003507283 0.0035947028 0.0035939536 0.003612936 0.0036244255 0.0036301701 0.0035512426 0.0035742216 0.0035942032 0.0035472463 0.0035205209 0.0035479956 0.0035939536 0.0035492445 0.0035634814 0.003539004 0.0035210203 0.0036211784 0.003538754 0.0035887084 0.0036026954 0.0037018545 0.0036441574 0.0035854613 0.0035829635 0.00380476 0.003687118 0.0037190886 0.003647904 0.0038194966 0.0038217446 0.003730578 0.0036079406 0.0035939536 0.0036519002 0.0037343246 0.003749311 0.0037280803 0.0037972669 0.0053403517 0.0038224938 0.0037203375 0.0036908647 0.0037960182 0.0038187474 0.0038067582 0.0037757866 0.0037617995 0.0037750374 0.0036778764 0.0035892078 0.0036214283 0.003667386 0.0036449067 0.0036616414 0.0036136853 0.003609689 0.003594453 0.0035877093 0.0036229268 0.0037006056 0.0037031034 0.0038252412 0.0037225855 0.0037358233 0.0037967674 0.003712345 0.0036334172 0.0037095973 0.0037550556 0.0037118453 0.0038169988 0.0038457224 0.0038711992 0.0037570538 0.0037210868 0.0037702918 0.0038227437 0.003812503 0.0036688847 0.003639162 0.0036746294 0.0039046684 0.0035744712 0.003551992 0.0036306698 0.0036906148 0.0036321683 0.0036266735 0.003707849 0.003631419 0.0036081905 0.003693612 0.0037113458 0.006251266 0.0037942696 0.0036831216 0.0037802826 0.003743816 0.0036001976 0.0037398196 0.0036124366 0.003691614 0.003634666 0.0036231766 0.0036066917 0.0036219277 0.0035242673 0.0035117788 0.003519272 0.003594453 0.0035380048 0.0035372553 0.0035512426 0.0035904567 0.0036581445 0.0037280803 0.0036688847 0.0035717238 0.0036219277 0.0036701337 0.0036384126 0.0037225855 0.0037163412 0.003676378 0.0037075991 0.0037580528 0.0037003558 0.0036396615 0.0037707912 0.0038379796 0.003730828 0.0038564627 0.0039643636 0.004004077 0.0052521825 0.004057778 0.003909914 0.0038589605 0.0038467215 0.0037762863 0.003655647 0.003737322 0.0038219942 0.0037300787 0.0036464054 0.003727331 0.0037066 0.003712095 0.003802512 0.003841726 0.003850718 0.0037593017 0.0041978993 0.0038282385 0.0037063505 0.0038214948 0.0037248335 0.004083255 0.0038674525 0.0036746294 0.0037108462 0.0036768774 0.003711096 0.0037692927 0.0037345744 0.0036746294 0.0036494026 0.003632668 0.0036361648 0.0036713823 0.0037715405 0.0037248335 0.0037021043 0.0036711327 0.0036384126 0.0037288298 0.003693862 0.0036923632 0.003752558 0.0037513091 0.00379402 0.006184827 0.0036561463 0.0036059425 0.0037108462 0.0036321683 0.00363042 0.003658894 0.0037170905 0.0076941927 0.0044246917 0.004218381 0.0042778263 0.0044923793 0.0039021708 0.0041224686 0.0038726977 0.0038906813 0.0042426083 0.0039626155 0.004287068 0.003889932 0.0046384954 0.0041052345 0.0037313274 0.0038677023 0.0038609586 0.0036803742 0.003967111 0.003764297 0.0037915222 0.0037980163 0.0037652962 0.0037570538 0.0035420011 0.02769085 0.0005006507 2.4988805e-07 0.0 2.4988805e-07 0.0 0.0 0.0 0.0 5.872369e-06 0.0 0.0 0.0 3.4984328e-06 0.0 4.997761e-07 7.4966414e-07 0.0014567224 6.622033e-06 3.7483207e-07 7.6215856e-06 3.6233766e-06 6.2472014e-07 0.0 4.747873e-06 1.3743843e-06 1.1244962e-06 3.4984328e-06 6.2472014e-07 4.123153e-06 8.746082e-07 1.12449625e-05 3.2110613e-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 0.0006859427 2.6238245e-06 9.995522e-07 2.2489924e-06 7.871474e-06 3.6233766e-06 4.997761e-07 9.995522e-07 8.621138e-06 1.2494403e-06 6.8719214e-06 4.997761e-06 7.9964175e-06 2.6238245e-06 1.4743395e-05 1.5742948e-05 0.00061210076 3.6233766e-06 9.995522e-07 3.2485445e-06 9.245858e-06 6.497089e-06 3.3734887e-06 3.2485445e-06 1.0495298e-05 8.746082e-07 8.995969e-06 9.245858e-06 6.2472013e-06 3.9982087e-06 1.9616213e-05 6.58455e-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 0.00019528752 1.2494402e-07 3.7483207e-07 6.2472014e-07 6.122257e-06 5.122705e-06 4.622929e-06 2.4988805e-07 3.7483207e-07 7.4966414e-07 4.248097e-06 8.995969e-06 2.7487686e-06 6.2472014e-07 1.2494403e-05 1.3119123e-05 0.0005382589 7.2467533e-06 3.8732646e-06 5.247649e-06 2.5363637e-05 1.5493059e-05 3.1236006e-05 1.2244514e-05 6.622033e-06 6.8719214e-06 1.1619794e-05 1.8741604e-05 1.2494403e-05 9.245858e-06 2.5988356e-05 3.7108377e-05 0.00030598792 4.997761e-07 9.995522e-07 1.1244962e-06 1.1369906e-05 1.0370354e-05 2.9111958e-05 2.6238245e-06 0.0 1.6242723e-06 9.370802e-06 1.9116436e-05 2.486386e-05 1.2494403e-06 2.4239142e-05 6.921899e-05 0.0010192933 1.6742499e-05 7.159293e-05 9.058442e-05 0.00045592076 6.721989e-05 0.00039769683 0.00020303404 2.5863414e-05 3.410972e-05 0.00038357815 3.3984776e-05 5.8598747e-05 2.0990596e-05 0.00043343083 0.0005256395 0.0019191402 5.7974026e-05 5.934841e-05 0.00010932602 0.00036621094 9.4582625e-05 0.0006172235 0.0006448361 9.370802e-05 0.00011357412 0.000348219 0.00027937483 0.0008619888 0.00016804971 0.0006002311 0.0023663149 0.0024060472 0.00011707255 9.333319e-05 0.00017179803 0.0005638724 0.00017279759 0.0010822652 0.0009673166 0.0010419083 0.0003667107 0.00059273443 0.00060297985 0.0016323937 0.0012896722 0.0011448622 0.006689753 0.0012509396 0.00033297582 0.00017817019 0.0003201066 0.0018083148 0.0007213019 0.00032223066 0.00048403317 0.0009488249 0.00027287775 0.002029216 0.0008713596 0.00057686656 0.0010179189 0.002810491 0.0049898895 0.0049535306 0.00066557684 0.0011115021 0.0012025862 0.0023207103 0.0023545702 0.0014142414 0.0013197837 0.0037100879 0.0014655935 0.003075872 0.0030275187 0.0017159813 0.0037736844 0.0066257818 0.01474302 0.0011827202 0.0003232302 0.00026238244 0.0002721281 0.00049940124 0.0004131899 0.00032023154 0.00046479178 0.0005138948 0.00019391313 0.00026313213 0.00031460906 0.0003513426 0.00034272147 0.00058911106 0.0013697613 0.055395808 0.055181153 0.055270612 0.055066705 0.055181902 0.055369068 0.055253748 0.0552445 0.055145543 0.055060208 0.0553036 0.055196524 0.05520964 0.05504784 0.055147294 0.055242125 16581.0 5.7679873 95639.0 0.011240184 0.009525402 0.01013185 0.0099750105 0.009849538 0.010497809 0.0097449785 0.009849538 0.010455986 0.01028869 0.009567227 0.010090026 0.010152762 0.01002729 0.009964555 0.010560545 0.010299146 0.009995922 0.010142306 0.010518721 0.009713611 0.01002729 0.009880906 0.01002729 0.00987045 0.009347651 0.010424618 0.010090026 0.010550089 0.009776346 0.010330514 0.010194586 0.01007957 0.010863769 0.010351426 0.010257321 0.010999696 0.01028869 0.010403706 0.0102259535 0.010048202 0.010874225 0.01007957 0.0097449785 0.00987045 0.01065465 0.010090026 0.009943643 0.011104257 0.009483579 0.010560545 0.010874225 0.010403706 0.010267777 0.010581457 0.010330514 0.0099750105 0.010058658 0.009849538 0.0102364095 0.0104768975 0.010110938 0.009954099 0.009441755 0.009473123 0.012285783 0.009368563 0.011083345 0.011135625 0.01453382 0.010351426 0.010821945 0.010194586 0.012589007 0.010382794 0.0102259535 0.011522496 0.010560545 0.011658424 0.012672654 0.011051977 0.010403706 0.01242171 0.011857088 0.012860863 0.010884681 0.01018413 0.010152762 0.010727841 0.0099854665 0.009441755 0.01013185 0.009128075 0.010361882 0.010121394 0.009828626 6.580619 0.0 1.0 0.0 65.0 4003669.0 1388544.0 0.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1449818000.0 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 -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 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 436224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.26515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.038073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.488947 0.0 6.102695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -655360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4446.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -254008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23191.0 0.0 435800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 -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 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 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 29644.0 435800.0 950272.0 0.0 0.0 14320.0 8886792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 640.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.33147827 0.0026002447 0.0055064005 0.0018060523 0.006106457 0.0019766567 0.0016354481 0.001317771 0.0004235693 0.0038062406 0.0003706231 0.0002764966 0.0003412086 0.00021178465 0.00022943335 0.0018942959 0.00041180346 0.00015295557 0.00020590173 0.000188253 0.00030591115 0.00013530685 0.00012354105 0.00010000941 0.00029414534 0.00020590173 0.000188253 0.0001823701 0.00010589232 0.00022943335 0.00019413592 0.0005176958 0.0010942207 0.00023531627 0.0004353351 0.000188253 0.00015295557 0.000252965 0.000111775225 0.00023531627 0.0003706231 0.00012942395 0.00015883848 0.00012354105 0.0009765625 0.00022943335 0.000441218 0.00031179405 0.000564759 0.0002470821 0.00022355045 0.002076666 0.0050651827 0.009900932 0.019790098 0.011454019 0.022049135 0.009371471 0.010177429 0.007618364 0.0003470915 0.00032944276 0.00030591115 0.0004941642 0.00050004706 0.0003588573 0.0002470821 0.0002882624 0.00032355986 0.000252965 0.00039415475 0.00020590173 0.0003470915 0.0001706043 0.000117658135 0.0002764966 0.00021178465 0.0028590926 0.004176864 0.0025531815 0.011053981 0.015419099 0.008700819 0.006753577 0.018595869 0.0075242375 0.0052063726 0.0071594976 0.0094302995 0.0002647308 0.000252965 0.0002764966 0.0003412086 0.00022355045 0.0001706043 0.00029414534 0.00047063254 0.00060593936 0.0003412086 0.00060593936 0.00040592055 0.0015413215 0.00040003765 0.0004588667 0.000441218 0.00095891376 0.00019413592 0.0002470821 0.0005176958 0.00048828125 0.0006706514 0.00066476845 0.0004235693 0.00019413592 0.00085302145 0.0007883095 0.0008471386 0.0004588667 0.0002882624 0.0002470821 0.0003588573 0.000376506 0.0001706043 0.00019413592 0.00021178465 0.0002588479 0.00047063254 0.00032355986 0.0013413028 0.00014118975 0.00013530685 0.00014707267 0.0002588479 0.0002706137 0.0001764872 0.0002588479 0.0004353351 0.0001823701 0.00015295557 0.00015883848 0.0002470821 0.0002823795 0.00022943335 0.00023531627 0.0003470915 0.00024119917 0.00015883848 0.00014707267 0.00021766755 0.000188253 0.00023531627 0.000188253 0.00020001883 0.0017472233 0.0034473832 0.002270802 0.002459055 0.0027943805 0.017348692 0.008259601 0.008130177 0.006129989 0.018395849 0.0061476375 0.0047533885 0.005612293 0.009318524 0.003159121 0.00058240775 0.00077066076 0.00038827184 0.0003353257 0.0003706231 0.000376506 0.0003353257 0.00024119917 0.00020590173 0.00029414534 0.000252965 0.00021766755 0.000252965 0.00022943335 0.00021178465 0.00048239835 0.0004294522 0.0003529744 0.0003412086 0.00031179405 0.00032944276 0.0003647402 0.00024119917 0.0002823795 0.0006471197 0.0003412086 0.0012177617 0.0004294522 0.0002823795 0.000188253 0.00016472138 0.00029414534 0.00030002824 0.00030591115 0.00021178465 0.0002470821 0.00030591115 0.0002470821 0.0004529838 0.00024119917 0.0005882907 0.0002647308 0.0004294522 0.0003353257 0.0001706043 0.0003647402 0.000188253 0.0005765248 0.0003588573 0.00021178465 0.00041768636 0.00030591115 0.000376506 0.0004353351 0.00031767695 0.000441218 0.00067653426 0.0003412086 0.0001823701 0.00047651544 0.0002470821 0.00059417356 0.0001823701 0.00071183173 0.0004588667 0.00061770517 0.0003706231 0.00073536334 0.0002882624 0.0004235693 0.0002647308 0.0004235693 0.0025767132 0.0005529932 0.0002706137 0.00077066076 0.00074712915 0.00031767695 0.0002588479 0.0002647308 0.00068830006 0.00055887614 0.000252965 0.00020001883 0.0007059488 0.000882436 0.00071183173 0.26741928 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022469815 8.877841e-06 2.0714962e-05 6.2144885e-05 2.9592802e-06 5.6226327e-05 1.1837121e-05 2.9592802e-06 1.4796402e-05 5.6226327e-05 2.9592802e-06 2.9592802e-06 2.0714962e-05 0.0 1.1837121e-05 0.0014973958 0.06023911 2.0714962e-05 4.4389206e-05 0.00066879735 0.00022194603 0.00036991003 3.5511363e-05 1.7755681e-05 5.3267046e-05 0.00053562975 5.6226327e-05 2.9592804e-05 4.1429925e-05 2.0714962e-05 5.6226327e-05 0.004255445 0.03063447 0.00014500474 0.00014796402 0.0005918561 0.00021898674 0.00032848012 1.7755681e-05 8.877841e-06 2.3674242e-05 0.0003610322 0.00010653409 1.7755681e-05 2.0714962e-05 1.4796402e-05 0.00012428977 0.0036014442 0.029465554 0.00018347538 0.00017755682 0.0009795218 0.0003018466 0.0006392045 6.806345e-05 5.9185608e-05 6.2144885e-05 0.0006007339 0.00028705018 8.581913e-05 7.9900565e-05 8.581913e-05 0.00015980113 0.0031279593 0.042066168 0.00041429925 0.0004971591 0.0011777936 0.00035215437 0.0010209517 0.00050307764 0.0003728693 0.00038766573 0.0006036932 0.0007131866 0.0003018466 0.00029000948 0.00024266099 0.00038470645 0.0052172113 0.008679569 5.3267046e-05 0.00011541193 0.0006599195 0.00014204545 0.00057410036 0.00043797347 0.00019235323 0.00013908617 0.00018643466 0.00036695076 3.2552085e-05 3.8470644e-05 1.4796402e-05 3.2552085e-05 0.00045572917 0.042666905 0.00019827178 0.00017755682 0.0054539535 0.0008907434 0.0046934187 0.00017459753 0.00015388257 0.00028113162 0.0023763021 0.0032019413 0.00015980113 0.00035215437 0.00015684185 0.0002840909 0.0054450757 0.024280895 0.0002840909 0.00039950284 0.0139441285 0.00039358428 0.014118726 0.0014530066 0.0009528883 0.00024562026 0.004717093 0.009475616 0.0002544981 0.00029296876 0.00029888732 0.0003136837 0.043726325 0.051201466 0.00025153882 0.0011186079 0.040657554 0.0034120502 0.038260534 0.0021484375 0.0014855587 0.000612571 0.014399858 0.02725793 0.000855232 0.0014589252 0.0011215672 0.0011422822 0.11158558 0.03363814 9.765625e-05 0.00063328596 0.030205375 0.0052408855 0.026458925 0.0015891335 0.00078125 0.00080196495 0.013612689 0.019111032 0.00095880684 0.0014766809 0.0016631156 0.0022017045 0.08577178 0.0046460703 4.4389206e-05 4.4389206e-05 0.0039092093 0.00041133995 0.0037257338 0.0002692945 0.00014500474 0.0002722538 0.0015121922 0.0030066287 0.00025745737 0.00026633524 0.0004202178 0.00047348486 0.01089903 0.0015033144 6.510417e-05 0.00027817235 0.00073094224 5.9185608e-05 0.00059777463 0.00047644414 0.0002722538 5.0307764e-05 0.00015980113 0.00050307764 5.3267046e-05 4.1429925e-05 5.9185608e-05 8.877841e-05 0.0011215672 0.002175071 0.00032256157 0.00034623579 0.00026041668 0.00024562026 0.00023674243 0.00026337596 0.00027521307 0.0002101089 0.00018939393 0.00020123106 0.00028705018 0.00019827178 0.00023378314 0.00023674243 0.00037878787 0.0016927083 0.00031960226 0.00025153882 0.0002544981 0.0003610322 0.00019235323 0.0002692945 0.00030776515 0.0004350142 0.00023674243 0.00021306818 0.00030480587 0.00032552084 0.00030480587 0.0003018466 0.00029000948 0.00189098 0.001077178 0.0010209517 0.0009883996 0.001003196 0.0008670691 0.0010830966 0.0012754498 0.0010653409 0.00092329545 0.0009321733 0.0012073864 0.0009913589 0.0011659565 0.0012133049 0.0014766809 90.0 16.033333 1443.0 0.045045044 0.0013860014 0.03187803 0.004158004 0.0 0.002079002 0.0006930007 0.0006930007 0.0013860014 0.0 0.0006930007 0.0013860014 0.05058905 0.004851005 0.02148302 0.006930007 0.011088011 0.008316008 0.004851005 0.0055440054 0.0006930007 0.0 0.0 0.0006930007 0.0013860014 0.002079002 0.004158004 0.0006930007 0.008316008 0.008316008 0.01039501 0.002079002 0.0013860014 0.01871102 0.0006930007 0.008316008 0.004851005 0.002079002 0.0027720027 0.002079002 0.0013860014 0.0055440054 0.0 0.0006930007 0.00970201 0.0027720027 0.0006930007 0.0027720027 0.0034650036 0.0 0.0055440054 0.01039501 0.008316008 0.002079002 0.0062370063 0.004158004 0.0 0.0013860014 0.0006930007 0.0006930007 0.0006930007 0.0 0.0013860014 0.004851005 0.0006930007 0.034650035 0.022176022 0.027027028 0.01039501 0.07692308 0.0055440054 0.011088011 0.011088011 0.04920305 0.0013860014 0.0006930007 0.029106028 0.033264033 0.036729038 0.035343036 0.009009009 0.0027720027 0.047817048 0.058212057 0.06167706 0.02979903 0.011088011 0.0013860014 0.01039501 0.018018018 0.0027720027 0.0006930007 0.0013860014 0.0 0.002079002 0.0013860014 5.3701544 0.0 0.0 0.0 1.0 169984.0 196608.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540781200.0 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 2560.0 512.0 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 -2560.0 0.0 166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4182959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.788719 0.0 4.065891 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 -2084.0 0.0 166032.0 0.0 0.0 0.0 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 83.0 10184.0 166032.0 16384.0 0.0 0.0 0.0 0.0 12.0 188416.0 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: 0.13959938 0.008458427 0.0041024955 0.0033555902 0.0061165807 0.003869773 0.0019884978 0.0019214835 0.007726143 0.0014804074 0.0016680476 0.0014755337 0.0044826493 0.0013451603 0.001206258 0.003812506 0.006041037 0.0014755337 0.0011636125 0.0008784969 0.0024222634 0.0019434155 0.00075299735 0.00081026414 0.0022626475 0.0007408129 0.00081513793 0.0006981675 0.001586412 0.0005933814 0.0005836339 0.0005556097 0.003814943 0.00057632325 0.0006409007 0.00053367775 0.0040842188 0.0012952042 0.00045691588 0.0005519544 0.0011636125 0.0006421191 0.0005738863 0.00092723465 0.0010868505 0.002302856 0.0006652695 0.0005093089 0.0065125744 0.0033019788 0.0041695097 0.01057608 0.00428648 0.0025550737 0.0036894435 0.0023199143 0.0047775125 0.0026196511 0.0007030412 0.0014584755 0.0016400234 0.0009601326 0.0004581343 0.00052027486 0.011586168 0.0038661174 0.004823813 0.008687494 0.0038076323 0.032045033 0.0032166878 0.0026659518 0.003330003 0.0034920557 0.0021542062 0.0023174773 0.0026671703 0.0043181595 0.0011416805 0.0015072132 0.0089165615 0.002110342 0.0020238326 0.009602544 0.0031545472 0.013619749 0.0031716055 0.002062823 0.0018958963 0.0064114435 0.00269885 0.0032081588 0.0015413295 0.004564285 0.0023406278 0.003548104 0.005674286 0.0047104983 0.0023820547 0.0035968418 0.009877912 0.0063651428 0.0045386977 0.0018727459 0.008524222 0.0045569744 0.0043096305 0.001688761 0.0042487085 0.0020616045 0.0050004874 0.0043145046 0.003961156 0.0020043377 0.005465932 0.004120772 0.010781996 0.005781509 0.0024368847 0.0014365435 0.003539575 0.0012440296 0.0005227118 0.000581197 0.0016278389 0.0024795302 0.001046642 0.00086143875 0.0051637585 0.001140462 0.0010722292 0.008925091 0.00307413 0.0031776975 0.0010186178 0.00060922117 0.002622088 0.014957598 0.0021992885 0.050940637 0.0011782338 0.010833171 0.0008443805 0.0006701433 0.0026159957 0.0004374208 0.0007164441 0.0006360269 0.0011063457 0.00092236086 0.0014889366 0.000559265 0.0011563018 0.0005799786 0.0004922507 0.0007018228 0.00094185595 0.0004691003 0.0004581343 0.00041305195 0.0008833707 0.0032788285 0.00045935277 0.0025124282 0.0014024271 0.0008053904 0.0005556097 0.0004459499 0.0010308023 0.00045082366 0.00050199823 0.0004800663 0.000834633 0.000443513 0.0007310654 0.00064821134 0.0013049517 0.0006750171 0.0017046009 0.00052880397 0.0008650941 0.0006603958 0.0007018228 0.0015559508 0.0031033726 0.0024965883 0.0045813434 0.0008114826 0.0009857198 0.00047275564 0.0008407252 0.00070425967 0.011817672 0.001131933 0.0022528998 0.010194707 0.0042925724 0.0010429866 0.0035042402 0.0033178185 0.0018422848 0.0017387172 0.0009686617 0.0012830198 0.0016570815 0.0008797154 0.0009771908 0.00092845305 0.00283166 0.0011331514 0.0029303539 0.0013329759 0.0017862364 0.0007566527 0.0015803197 0.00086265715 0.0033178185 0.000644556 0.0010697924 0.0017606491 0.0014743152 0.000707915 0.00055439124 0.0008297592 0.0024027682 0.00064821134 0.0008650941 0.00097597233 0.002396676 0.0023954576 0.00054220686 0.0006835462 0.02719807 0.005936251 0.0010771031 0.0058119697 0.0064358125 0.0010271469 0.0006701433 0.00074324984 0.0071351985 0.00096256944 0.0017898919 0.00090530264 0.009001852 0.0021383662 0.0040354813 0.0025550737 0.009918121 0.0030083342 0.003027829 0.0035590702 0.014667609 0.003936787 0.0042377426 0.06790988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017492676 0.0 0.0 0.0005096436 0.00024108887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015793458 0.0 0.0 0.009331055 0.0061254883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040960694 0.0 0.0 0.0035015868 0.0024023438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054260256 3.6621093e-06 1.7700195e-05 6.591797e-05 0.00014648438 7.446289e-05 6.1035157e-06 7.3242186e-06 1.5258789e-05 0.0 0.0 1.8310546e-06 7.93457e-06 3.0517579e-06 4.8828124e-06 0.00035278322 0.006000366 0.00020263671 0.00020996094 0.0005419922 0.0018804931 0.00048034667 0.0024084472 0.0010479736 0.0001916504 9.887695e-05 9.094238e-05 7.385254e-05 0.00066101074 0.00037414551 0.0003942871 0.0028430177 0.013112183 0.0006311035 0.00093078613 0.00204834 0.004063721 0.0035516357 0.006856079 0.0031585693 0.00044677735 0.00023193359 0.00030578615 0.00032531738 0.0020495607 0.0010870361 0.001104126 0.008847046 0.020442504 0.0012823486 0.0012139892 0.002045288 0.007200928 0.002520752 0.0065856935 0.003204956 0.002354126 0.0009594727 0.0009613037 0.0013146973 0.003994141 0.0026080322 0.0026318359 0.009429932 0.019906007 0.0015374756 0.0012316895 0.0022320556 0.009279785 0.003980713 0.005793457 0.0033544921 0.0057208254 0.0013916015 0.0017510987 0.0022692871 0.0038024902 0.0017449951 0.0039819335 0.009522094 0.07289368 0.009668579 0.0071704104 0.009928589 0.04142578 0.030140381 0.020982055 0.013741455 0.0506958 0.0052111815 0.005963745 0.0090045165 0.016533814 0.0069665527 0.027026366 0.060147095 0.059347533 0.009976807 0.008980713 0.011495361 0.027695313 0.030144043 0.017404174 0.014389648 0.049067993 0.005796509 0.0063848877 0.009012451 0.02078064 0.010772705 0.02470459 0.04779663 0.00023010254 4.699707e-05 8.4838866e-05 5.126953e-05 8.911133e-05 9.765625e-05 4.272461e-05 6.469726e-05 0.0001324463 2.8686523e-05 3.2958986e-05 2.8686523e-05 8.300781e-05 5.9204103e-05 7.202148e-05 0.00010559082 5347.0 18.823265 100648.0 0.0046498687 0.00010929179 0.00047690963 7.948494e-05 0.0028614576 0.00048684524 0.00010929179 0.00014903425 0.00033781098 0.0003477466 0.0006259439 0.00049678085 0.00042723154 0.012171131 0.0009637549 0.00039742468 0.028823225 0.019553294 0.029936014 0.015430014 0.026150545 0.017347587 0.026766554 0.015320722 0.028902711 0.017437007 0.0007054288 0.00043716715 0.00081472064 0.0004570384 9.935617e-05 0.00011922741 0.0011624672 0.0072828075 0.0063190525 0.012389715 0.0060905335 0.013770766 0.0040338608 0.002623003 0.004202766 0.015022653 0.0020964153 0.0034079168 0.0058222716 0.005693109 0.0037854703 0.007869009 0.011018599 0.0022355139 0.0051069073 0.01747675 0.011157698 0.0053453622 0.005037358 0.002980685 0.0023746125 0.004570384 0.0013015659 0.0025534537 0.0009935617 0.002384548 0.0024839044 0.018947221 0.00021858358 0.02904181 0.016284477 0.025892219 0.028197281 0.047531992 0.014933232 0.011356411 0.022225976 0.032529213 0.011644543 0.008326047 0.026736746 0.012787139 0.03722876 0.03164494 0.022643272 0.0048883236 0.037944123 0.026776489 0.041014228 0.011793578 0.014416581 0.00764049 0.017715206 0.005703044 0.0008942055 0.00024839042 0.00046697402 0.00021858358 0.00025832604 0.00026826168 5.749236 0.0 2.0 14.0 4.0 820720.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.607673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.053955752 0.004290615 0.004874987 0.0037431123 0.0038481888 0.003967091 0.0039320653 0.005378247 0.0054298635 0.0060593993 0.0060686166 0.006137746 0.0069350353 0.007207865 0.008802444 0.009063291 0.014689481 0.011143617 0.009272521 0.008295497 0.0082521755 0.008925955 0.009223671 0.008376609 0.009470692 0.010900282 0.009839381 0.0086153345 0.008416242 0.008407947 0.009261461 0.0083710775 0.008889086 0.0068917144 0.0065386947 0.0062501957 0.0062041096 0.005961697 0.0056943977 0.005680572 0.0054529062 0.0052077286 0.005301744 0.005407742 0.005116478 0.0048630047 0.004827979 0.004622435 0.0048915776 0.004513672 0.0045357933 0.00504274 0.0044657425 0.004096132 0.0041007404 0.0039090225 0.0038223804 0.003912709 0.0038279109 0.0036730615 0.0035182124 0.0035191341 0.0034288054 0.0033440068 0.0051450515 0.004258355 0.003230635 0.0033181987 0.0032979208 0.003913631 0.003121872 0.0030269346 0.0032269482 0.0030886899 0.0031356977 0.0029301539 0.0030997505 0.0030315432 0.0029172497 0.002893285 0.0036859657 0.0031025158 0.002979005 0.0033181987 0.003038917 0.0033440068 0.003095142 0.0031062027 0.0029808485 0.003161506 0.0031633493 0.0032850166 0.0029863787 0.0030656469 0.0031089678 0.0029154061 0.0029449014 0.0032628954 0.002839825 0.00303523 0.003552316 0.003598402 0.0031670362 0.0028020344 0.003101594 0.0031854708 0.003058273 0.0027706958 0.0031191066 0.0029670226 0.003111733 0.0031403063 0.0030472125 0.0027089405 0.0032232613 0.0031983748 0.0039375955 0.0035421771 0.0028241558 0.0027882087 0.0029209366 0.0028573377 0.0027522615 0.0029808485 0.0028601028 0.0028223123 0.0027882087 0.0027587134 0.006430853 0.0028776156 0.002777148 0.0035283512 0.0028849894 0.0032380088 0.0027384355 0.0026960364 0.0027365922 0.0036629227 0.0027024886 0.005331239 0.002760557 0.0033652065 0.0025983339 0.0025605434 0.0034804216 0.002608473 0.002611238 0.0026490286 0.002700645 0.0027706958 0.002663776 0.0025817428 0.0026914277 0.0027587134 0.0026997232 0.0026434984 0.0026287506 0.0026969581 0.002621377 0.0026259855 0.002777148 0.0027541048 0.002514457 0.0027799131 0.0025900383 0.0026481068 0.0026361244 0.0025190657 0.0026361244 0.0026868193 0.0026370462 0.0025900383 0.0026232204 0.0024969445 0.002548561 0.002597412 0.0028121735 0.0025181442 0.0026167682 0.0024785101 0.0026499503 0.002482197 0.0024803535 0.0025983339 0.0027126274 0.0026794453 0.0026324375 0.002449015 0.0027660872 0.0024692928 0.0024775884 0.0028167819 0.0034509266 0.0026416548 0.0029025022 0.0032168094 0.0027430442 0.0024112244 0.00269788 0.0026499503 0.0027292185 0.0024969445 0.0024803535 0.0025411872 0.0023752772 0.0024047722 0.0024324239 0.0024573104 0.0025264395 0.0025006314 0.0025660736 0.0025015532 0.002663776 0.0024609973 0.0025227526 0.0024480931 0.0026720716 0.0023743554 0.0024407194 0.0025126138 0.002415833 0.00241952 0.0024333457 0.0025172224 0.0026057076 0.0024305806 0.0024563887 0.0024812752 0.0024674493 0.002488649 0.0024462498 0.0024434847 0.0037919637 0.0026425766 0.0024536236 0.0028075648 0.0026222987 0.0024075375 0.0025310481 0.0024379543 0.0033679716 0.0024296588 0.002353156 0.0024573104 0.0025153789 0.0023540775 0.0024582322 0.0025236744 0.00269788 0.0025430305 0.0023522342 0.002555013 0.002912641 0.0024250501 0.002694193 0.006933192 0.0056710774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004318843 0.00037936406 2.5844754e-05 4.6151348e-07 0.0 0.0 4.6151348e-07 0.0 4.6151348e-07 0.0 0.0 0.0 4.6151348e-07 0.0 0.0 0.0 0.0024829425 0.00027644658 1.5691458e-05 2.3075675e-06 4.615135e-06 2.7690808e-06 4.1536214e-06 3.2305943e-06 1.846054e-05 1.8460539e-06 4.615135e-06 2.3075675e-06 2.7690808e-06 2.3075675e-06 7.3842157e-06 3.6921078e-06 0.0027326213 0.00094656413 2.3075674e-05 7.845729e-06 1.6614486e-05 2.7690808e-06 6.922702e-06 7.3842157e-06 7.3842157e-06 1.8460539e-06 1.8460539e-06 9.2302696e-07 8.307243e-06 5.076648e-06 5.076648e-06 6.4611886e-06 0.01628358 0.015791606 0.0012096268 3.8305618e-05 3.876713e-05 7.845729e-06 5.076648e-06 7.3842157e-06 0.0023592568 1.3845404e-05 4.615135e-06 6.6919456e-05 5.5381615e-06 5.999675e-06 7.3842157e-06 7.1073075e-05 0.007540207 0.01028852 0.0020454277 0.00011537837 5.076648e-05 0.00011537837 7.476518e-05 1.8922052e-05 0.00042274635 1.5229944e-05 2.3537186e-05 1.0153296e-05 1.5229944e-05 9.23027e-06 2.261416e-05 2.5844754e-05 0.007794501 0.007161766 0.0023394118 0.0003452121 0.00047812794 0.00012045501 0.00026306268 0.00016152971 0.00029352258 0.0002801387 2.261416e-05 0.00026352418 1.7075998e-05 1.061481e-05 2.4921726e-05 0.00027229293 0.0076343557 0.013006372 0.005914295 0.0007490364 0.00039320948 0.00031059855 0.0009825622 0.0006788863 0.00018275934 0.00011907047 7.384216e-05 4.0613184e-05 5.861221e-05 3.184443e-05 2.9998375e-05 3.969016e-05 0.0058487603 0.008710144 0.0044102226 0.0007559591 0.0005030497 0.0005173566 0.0010074839 0.0006659639 0.00044582202 0.00033828936 0.0001269162 8.584151e-05 9.0918154e-05 4.0151674e-05 3.599805e-05 4.661286e-05 0.0054772417 0.005850606 0.0033833552 0.0010970175 0.0005404323 0.00040336276 0.0009451796 0.00055750826 0.00029029197 0.0005192027 0.00021229619 0.00010707112 9.553329e-05 6.4611886e-05 7.015005e-05 0.00023491036 0.0063028894 0.013064062 0.009244115 0.005591697 0.002016814 0.001473151 0.0015829912 0.001355465 0.0010397899 0.0008085716 0.00083995453 0.00037659498 0.0001781442 0.00011583988 0.000109840206 0.00032352094 0.011245237 0.015563157 0.011862742 0.007880804 0.0031733667 0.0022217259 0.001936049 0.0020514273 0.0020449662 0.0014523829 0.0014551519 0.0011708597 0.0011191701 0.0007407291 0.000599506 0.0007001159 0.0052677146 0.016041746 0.011015865 0.006756557 0.0040502422 0.0030298359 0.0027215448 0.0021820357 0.0021381918 0.0017071384 0.0012391637 0.0010033302 0.0008662608 0.00050858787 0.00055289315 0.00046520558 0.00721484 0.006656409 0.0039030195 0.003377817 0.0031812123 0.0027095457 0.0019498944 0.0018123634 0.002906612 0.0010060994 0.00072734524 0.00086118415 0.00133562 0.0006890396 0.0010762494 0.002180651 0.0065797977 0.0010190217 0.0011237853 0.0012913147 0.0023574107 0.0025309399 0.001368849 0.0014671513 0.004404223 0.0005616619 0.00051551056 0.0008441081 0.0022208027 0.0011445534 0.002141884 0.004455451 0.03704984 0.036844004 0.0364531 0.036617402 0.036834773 0.036899846 0.036807083 0.03703507 0.036346033 0.036605865 0.036792777 0.036801547 0.036607247 0.03662063 0.03683662 0.036749855 6382.0 9.586806 61183.0 0.024434892 0.017995195 0.01786444 0.01605021 0.015200301 0.0138273705 0.013353382 0.011735286 0.011457431 0.011686252 0.011473776 0.010149878 0.010460422 0.010999788 0.012405407 0.011604531 0.012928428 0.015102235 0.017292386 0.018060572 0.01701453 0.016818397 0.01712894 0.016622264 0.015478156 0.016001176 0.018812416 0.017357763 0.01771734 0.01701453 0.016851086 0.0152983675 0.014399425 0.013712959 0.012699606 0.0130918715 0.012094863 0.013533171 0.011228609 0.010901721 0.009741268 0.010035467 0.009528791 0.009136525 0.00915287 0.00926728 0.00885867 0.008629848 0.00912018 0.009447069 0.008956736 0.009430724 0.008580815 0.009071147 0.007894349 0.008646193 0.0077309054 0.008057794 0.007387673 0.007845316 0.006554108 0.006668519 0.0064233528 0.0064070085 0.005720543 0.00871157 0.0058512986 0.0072896066 0.0069790627 0.013206283 0.005377311 0.0052138665 0.0050504226 0.00774725 0.004429335 0.0050177337 0.007420362 0.0057695764 0.008270271 0.008433715 0.00622722 0.0044947127 0.008760603 0.008188549 0.009757613 0.006750241 0.005181178 0.005377311 0.0058022654 0.005867643 0.005459033 0.005377311 0.0051648333 0.005720543 0.00567151 0.0052792444 6.464841 0.0 1.0 0.0 8.0 1084926.0 471040.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 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 66560.0 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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 353792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 6.5560966 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 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 353752.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 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 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 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 -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 3588.0 102400.0 353752.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.1785412 0.005637255 0.0033007306 0.0034117184 0.005178274 0.0021122363 0.0026232428 0.002194321 0.0055956347 0.0013006382 0.0012301147 0.0012671106 0.0041204216 0.0013642249 0.011297632 0.004719293 0.0043539586 0.0013896596 0.0012636422 0.053982843 0.0028637163 0.0011619035 0.0010474473 0.00077691453 0.0019804384 0.0011191269 0.0007133278 0.0010578524 0.0016544118 0.00082662783 0.00073529413 0.0010798187 0.0030313542 0.00070639106 0.00091911765 0.0007503237 0.0044106087 0.0007549482 0.0008162227 0.0006728635 0.0010821309 0.00073645025 0.00084512576 0.0018856364 0.0010035146 0.0009931095 0.0009283666 0.0007954125 0.002908805 0.0015966056 0.0012416759 0.0036637532 0.0015642341 0.0014486219 0.0012567055 0.001252081 0.0020451813 0.002071772 0.0017295597 0.002889151 0.0016914076 0.0013954402 0.0011595913 0.001486774 0.0029596745 0.0018324547 0.0012948576 0.0017156863 0.0067344154 0.00868017 0.0019781261 0.0011145024 0.0016578801 0.0008971513 0.0009803922 0.0007260451 0.0015422679 0.013446865 0.0011364687 0.0011919626 0.005677719 0.0019156955 0.0010046707 0.0022093507 0.0014694321 0.002307621 0.0026937663 0.0020578986 0.0010613208 0.0027064835 0.0006532094 0.010499908 0.0011896504 0.002429014 0.0021249538 0.0015572974 0.0009907973 0.0018185813 0.0008613115 0.0015399556 0.0019943118 0.0031492787 0.0020394006 0.0009884851 0.0022567518 0.001768868 0.003585137 0.00076650945 0.0015492046 0.0011503422 0.0015191454 0.0017573067 0.0017526823 0.00074107473 0.0026590824 0.0023584906 0.032615382 0.007285886 0.0012023677 0.0010902238 0.0011827137 0.0010775065 0.00061968184 0.0006601461 0.0012809841 0.002485664 0.0013977526 0.001279828 0.0021480762 0.0012289586 0.00085206254 0.007804985 0.0019619404 0.0041921013 0.0010081391 0.00066708284 0.0014659638 0.0058233906 0.027257908 0.0422401 0.0009283666 0.0069737327 0.00060118386 0.0007376064 0.00091796153 0.00061390124 0.0005688124 0.00087056047 0.0010960044 0.0008127543 0.00055956346 0.0005977155 0.0010624769 0.00068673695 0.0005433777 0.0005722808 0.0009861728 0.0006728635 0.000554939 0.0008497503 0.000979236 0.0009422401 0.0005815298 0.0007792268 0.0009884851 0.0007884758 0.0005607196 0.027178135 0.0012104606 0.0006034961 0.0005514706 0.0005861543 0.0009954218 0.00057112466 0.0006335553 0.00060580834 0.0011769331 0.0005630318 0.0005676563 0.00054453383 0.000979236 0.0007688217 0.0011734647 0.0012416759 0.0018324547 0.0007988809 0.00065552164 0.0006335553 0.0009272105 0.000724889 0.00079772476 0.00076072884 0.0037816777 0.0015411117 0.0016393822 0.0024891323 0.0028313447 0.000734138 0.0024035794 0.002438263 0.0018856364 0.0014613393 0.0007688217 0.00076650945 0.0031215316 0.00069714204 0.0015757955 0.0008728727 0.00126133 0.00088212173 0.0010046707 0.0007514798 0.0016070107 0.0006231502 0.0009838606 0.0006543655 0.0013191361 0.0007954125 0.00059540325 0.0010740381 0.0010081391 0.0008300962 0.0005676563 0.0006878931 0.0017145302 0.0007653533 0.0007133278 0.00061968184 0.0012763595 0.00077691453 0.000734138 0.0007792268 0.010283712 0.0022798742 0.0007098594 0.0031226878 0.0023839253 0.00063124305 0.0006462727 0.0006728635 0.0023261192 0.0010035146 0.00089483906 0.000941084 0.0012717351 0.000677488 0.0021041436 0.0016185719 0.0026428967 0.0010520718 0.0008462819 0.001026637 0.0037805217 0.0026706436 0.0032198022 0.19509457 0.0071174377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008313524 9.267497e-06 4.6337486e-06 7.413998e-05 8.398669e-05 7.703607e-05 6.9506227e-06 6.9506227e-06 8.688278e-06 5.7921857e-06 6.9506227e-06 5.7921857e-06 9.846715e-06 6.371404e-06 4.05453e-06 0.0020521714 0.017309947 4.459983e-05 1.6797338e-05 3.591155e-05 0.00039676472 0.00039734395 8.688278e-06 3.185702e-05 4.6337485e-05 5.7921857e-06 1.2163589e-05 2.8960928e-06 3.591155e-05 8.10906e-06 4.1703737e-05 0.006516209 0.01099183 0.00012569042 4.6337485e-05 2.6064836e-05 0.00047438 0.00046627095 5.270889e-05 7.877372e-05 6.371404e-05 9.267497e-06 3.4173896e-05 9.846715e-06 2.9540146e-05 8.688278e-06 1.7955776e-05 0.0041721114 0.014218078 0.0003741752 0.00014248777 4.05453e-05 0.0010217415 0.0005658965 9.441263e-05 0.00017550323 0.00025311852 0.000118160584 0.00013206183 4.2282954e-05 0.00012047746 7.4719195e-05 3.649077e-05 0.0039421613 0.022547241 0.001102253 0.00033594677 0.0001714487 0.002152376 0.0007153349 0.0005705303 0.00058790686 0.0008288618 0.00049812795 0.00041587892 0.0001621812 0.00015754745 0.00014943839 0.0001372748 0.00624108 0.018340377 0.0014341451 0.0004112452 0.00023805883 0.0016542482 0.0010408558 0.0016229704 0.00153435 0.0013304651 0.00019925118 0.00064409105 6.834779e-05 7.529841e-05 7.413998e-05 0.00016681495 0.00675253 0.027260922 0.024736108 0.00041008674 0.00010483856 0.0036206953 0.0037319052 0.0009545522 0.012662876 0.024696141 0.00036838301 0.012857494 0.00013495793 0.0002062018 0.0003243624 0.00045063204 0.076091945 0.03122104 0.026695604 0.00081553974 0.00087635766 0.005157362 0.0047438 0.0034787867 0.015124555 0.02637356 0.00027860413 0.013168534 0.00017897853 0.00022647445 0.00021373165 0.0002496432 0.06455449 0.005488675 0.0013547923 0.000842763 0.0074539636 0.0014121349 0.0010072611 0.0019015745 0.0017115909 0.0014347244 0.00060991716 0.0008862044 0.0005033409 0.0006707351 0.00054736156 0.0007269193 0.0031040323 0.0020973503 0.00034926878 0.00036027396 0.0005624212 0.00067247276 0.00035448177 0.00051897985 0.00038633877 0.00078368274 7.9932164e-05 0.00011178918 0.00014480464 0.0005155045 9.151654e-05 0.00025543539 0.0010194246 0.026166778 0.0051110247 0.0041304077 0.0048353164 0.010102151 0.00871724 0.0045688762 0.007924289 0.018251177 0.0015013345 0.00131193 0.0026759899 0.008048242 0.002347573 0.008199997 0.017780272 0.03469693 0.008594445 0.0066001955 0.008387085 0.0149003975 0.013659711 0.007497405 0.013229931 0.025853999 0.002215511 0.0030356846 0.00422482 0.012892247 0.0048133065 0.011828802 0.023299066 0.007919076 0.006121761 0.0061287116 0.006513892 0.0062457137 0.006078899 0.006341285 0.0062231245 0.006101488 0.006040091 0.005958421 0.0059607383 0.006015185 0.005963055 0.006000704 0.006031982 2105.0 13.24133 27873.0 0.033832025 0.0016862196 0.0031213001 0.0019373588 0.015032468 0.002260252 0.0019014818 0.003193054 0.0045563807 0.002367883 0.0013992036 0.0040182257 0.0049510277 0.0069601405 0.01105012 0.0062426003 0.019445341 0.01549887 0.009615039 0.009615039 0.010763104 0.010260826 0.008574606 0.009363901 0.010404334 0.010763104 0.015534746 0.008682237 0.012772216 0.007498296 0.009076884 0.014566068 0.025293294 0.011337136 0.0020808668 0.0085387295 0.015355362 0.0042693648 0.005381552 0.005991461 0.0070318948 0.0064219856 0.0019014818 0.002870161 0.0063502314 0.0030495462 0.005022782 0.0030854233 0.014171421 0.0042693648 0.004125857 0.012700463 0.006134969 0.004628135 0.011193628 0.007677681 0.0058120764 0.0027266531 0.0021526208 0.002690776 0.004628135 0.0030854233 0.00276253 0.0109066125 0.0043411185 0.031248879 0.0081440825 0.024934525 0.022028487 0.049402647 0.008395221 0.012377569 0.013382126 0.032145806 0.00516629 0.0034800703 0.019875865 0.014243174 0.023355937 0.031069493 0.014817206 0.0020808668 0.038388405 0.03207405 0.051268253 0.015283608 0.0060990923 0.005022782 0.0068166326 0.009399777 0.0024037599 0.0015785886 0.0041976105 0.0019014818 0.0016503426 0.002834284 6.053842 2.0 36.0 0.0 5.0 864960.0 856064.0 1.0 0.0 119.0 1.0 1.0 1.0 0.0 0.0 1510830600.0 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 0.0 10.0 0.0 5.0 1.0 5.0 1.0 267264.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -95232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -267264.0 0.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.645393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7458754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4613504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648878 0.0 2.9740672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -266794.0 0.0 413308.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 320072.0 413308.0 344064.0 0.0 0.0 28256.0 762976.0 13556.0 757760.0 28.0 275104.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 294960.0 0.0 0.0 500.0 274432.0 0.0 0.0 0.0 0.0


Input: 0.05654504 0.008293782 0.006164549 0.0056459294 0.0057502734 0.0049609793 0.00419958 0.0054207123 0.00505086 0.00561287 0.0037512113 0.004464055 0.004947549 0.00317887 0.0043235524 0.0046417494 0.005039496 0.0037594761 0.0049320525 0.004162388 0.00436591 0.003176804 0.0041096993 0.0038431578 0.005082886 0.0033462334 0.0031716384 0.0029350568 0.0041386266 0.003439213 0.0037822046 0.0037935688 0.00617488 0.0038183632 0.003487769 0.003033202 0.004887629 0.0041572223 0.003834893 0.0037243506 0.0047367956 0.0039041112 0.0033369355 0.0031086188 0.00436591 0.0037264167 0.0037274498 0.0035859141 0.005507493 0.0039495677 0.0030889898 0.0028906332 0.0036716622 0.003079692 0.0026891774 0.002866872 0.004171686 0.0033162732 0.0035146298 0.003350366 0.004009488 0.0032294923 0.0035011994 0.0034567758 0.0065932884 0.003958866 0.0036241391 0.0032325916 0.0041572223 0.003226393 0.0035414905 0.0030693607 0.004994039 0.0037708404 0.0037036885 0.0035859141 0.004135527 0.0031334134 0.0035611195 0.0034619414 0.005166568 0.0036158743 0.0036468676 0.003333836 0.003930972 0.0033927232 0.0033575976 0.0035352919 0.004644849 0.0036530662 0.0038121645 0.003506365 0.0041189976 0.0033792928 0.0036871587 0.0037853038 0.0059031732 0.0036334372 0.0033441673 0.0029598514 0.004018786 0.003052831 0.0032646179 0.0030321688 0.0049682115 0.0031706053 0.003188168 0.0030486987 0.0035817819 0.002841044 0.0030920892 0.0031943666 0.0045064124 0.003294578 0.0032222606 0.0031416782 0.0038896475 0.0033286705 0.0032873463 0.0036282716 0.004627286 0.003294578 0.0034733056 0.0031675058 0.004029117 0.0031933335 0.003469173 0.0033410678 0.008629543 0.0045942264 0.0040105213 0.0035342588 0.0043617776 0.003449544 0.0030187385 0.0033875576 0.004537406 0.0038441909 0.00296605 0.0031933335 0.0037305492 0.0028028192 0.0028431104 0.002983613 0.005218223 0.0032191612 0.0034960338 0.0030259702 0.003662364 0.0031861018 0.0033080084 0.0032708165 0.004542571 0.0028431104 0.0030466323 0.0027067403 0.0035146298 0.003226393 0.0029815466 0.003159241 0.0050126347 0.0034154516 0.0032697835 0.0028059185 0.0037708404 0.0030104737 0.0030579965 0.0031861018 0.0041406928 0.0030063412 0.0031292809 0.003021838 0.0036499668 0.0028369117 0.0029143947 0.0030404336 0.0046634446 0.0031086188 0.0038379922 0.0028472426 0.0035621529 0.0031654397 0.0029867121 0.00311895 0.0042533013 0.003149943 0.0033276374 0.0031757709 0.0036489337 0.0032026316 0.0033297036 0.003342101 0.0067079635 0.0040673423 0.0037264167 0.0033369355 0.004127262 0.0032718496 0.0032976773 0.0032377571 0.0043245857 0.003333836 0.0031241153 0.0030838242 0.0036386026 0.0029929108 0.0030776255 0.0027966206 0.0042564007 0.0032780482 0.003099321 0.0030011756 0.0037078208 0.0030208046 0.0029391893 0.0029546858 0.003980561 0.0031117182 0.0027294685 0.0026385551 0.0035404575 0.0029515866 0.0035859141 0.0028916663 0.004947549 0.0032470552 0.0033978887 0.0029763812 0.0038111315 0.003079692 0.0031943666 0.0029092291 0.0044402936 0.005441374 0.0034650406 0.0031313472 0.0037935688 0.0030869236 0.0032408566 0.0031871349 0.0046107564 0.0033266044 0.0034216503 0.0030425 0.0037460458 0.0030951884 0.0033245382 0.0032491214 0.0043504136 0.003041467 0.00317887 0.0028565407 0.0040146536 0.0030951884 0.0042357384 0.0045043463 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09908644 0.062034994 0.06249586 0.055309232 0.060630668 0.05955893 0.054971986 0.054466117 0.060483254 0.05317921 0.05217523 0.052935585 0.056459587 0.05060487 0.05665097 0.053872317 4041.0 5.7023015 23043.0 0.017141866 0.010632296 0.009417176 0.008722822 0.013583301 0.012411579 0.011804018 0.011500238 0.012585167 0.009764354 0.008549234 0.008809617 0.013800287 0.0105455015 0.011673828 0.009894545 0.0166211 0.011977607 0.008679425 0.007464306 0.009851147 0.008549234 0.007898277 0.008375646 0.0102851195 0.008505837 0.009547368 0.008896411 0.011456842 0.009026603 0.009590765 0.009286985 0.018183397 0.010849282 0.010371913 0.00907 0.010849282 0.008809617 0.010762488 0.008288851 0.014190861 0.01163043 0.009720957 0.008939808 0.011500238 0.009330383 0.01163043 0.009547368 0.014711626 0.009547368 0.009894545 0.00907 0.012107799 0.009417176 0.009547368 0.009764354 0.0136266975 0.009200191 0.010502105 0.009503971 0.011153062 0.009764354 0.010371913 0.010632296 0.017879616 0.010979474 0.009634162 0.00815866 0.013062535 0.008202057 0.009330383 0.008375646 0.015362583 0.009330383 0.008853014 0.008679425 0.011370047 0.008115263 0.0100681335 0.007811483 0.013192726 0.008028468 0.0086360285 0.00876622 0.011456842 0.009503971 0.008288851 0.008028468 0.011109664 0.008983205 0.011890813 0.008419042 0.011196459 0.009026603 0.01011153 0.008809617 6.5549383 0.0 0.0 0.0 15.0 967954.0 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