Input: 0.6824909 0.0014296791 0.0013278591 0.0014650187 0.0014366771 0.0012694263 0.0012634781 0.0012235898 0.0013593498 0.0012053951 0.001301267 0.0012648776 0.0013058155 0.0011662067 0.0011777533 0.001521702 0.0013670475 0.0011490617 0.0011851011 0.0011627077 0.0012337368 0.0012078444 0.0012099438 0.0011837016 0.0012249894 0.0011574592 0.0011690059 0.0011798526 0.0011714551 0.0011906994 0.00118895 0.0011844013 0.0013978385 0.0011767036 0.0012029458 0.0011913993 0.0013019667 0.0011490617 0.0011945483 0.0011529105 0.0011826518 0.0011704054 0.0011700556 0.001348503 0.0011497615 0.0013229605 0.001165157 0.0012463331 0.0012484324 0.0011536104 0.0011354157 0.0013292587 0.0011371652 0.0011438132 0.0011658567 0.0011235193 0.0011816021 0.0011952481 0.0011833516 0.0013163125 0.001378944 0.001195598 0.0013614491 0.0011788029 0.0013051158 0.0015570417 0.001175304 0.0011784531 0.0012739749 0.0021718107 0.0012554304 0.0012120432 0.0012053951 0.0012116933 0.0011976974 0.0012428341 0.0012172916 0.0013271592 0.0012204407 0.0012165918 0.0012921696 0.00122289 0.0012172916 0.0012487824 0.0012319873 0.0013303084 0.0012816726 0.001209244 0.0012375857 0.0013841925 0.0011637574 0.001171805 0.0011910493 0.0012830723 0.001243184 0.0011683061 0.0011711052 0.0013848923 0.0012172916 0.0012459832 0.0014002877 0.0014699172 0.0013411551 0.0012449335 0.0013096645 0.0013901407 0.0012820226 0.0012501819 0.0013869917 0.0012463331 0.0013128135 0.001375445 0.0012820226 0.0011899996 0.0014072857 0.0014114844 0.0017109963 0.0015507435 0.0012281385 0.001171805 0.0012116933 0.0012113433 0.0011564095 0.0011529105 0.0011823019 0.0012960185 0.0011763537 0.001209244 0.0012494822 0.0012592793 0.0011886001 0.001531849 0.0012221902 0.0014377268 0.0011627077 0.0011742543 0.0012610288 0.001674607 0.0011879003 0.002095883 0.0011945483 0.0013509523 0.0011739044 0.00115466 0.0011896498 0.0011165213 0.001148362 0.0011910493 0.0012221902 0.0012029458 0.0011844013 0.0011441632 0.0011504613 0.00118895 0.0011665566 0.0011109229 0.0011697056 0.0011672564 0.0011781031 0.0011497615 0.0012001466 0.0011767036 0.0011543102 0.0012246395 0.0011819521 0.0012004966 0.0011714551 0.001148362 0.0012008465 0.0011931488 0.0011536104 0.0011700556 0.0011774034 0.0011574592 0.0011238691 0.0013362566 0.0011844013 0.0011564095 0.0012099438 0.001144863 0.001206095 0.0011637574 0.0012319873 0.0012186912 0.0012004966 0.0011830017 0.0011655069 0.0011760038 0.0012088941 0.0012183413 0.001199097 0.0011424137 0.0014090352 0.0013303084 0.0012897203 0.0013030164 0.0012323372 0.0011861508 0.0012169417 0.001321211 0.0012918197 0.0011983971 0.0011473122 0.0011763537 0.0012764243 0.0011354157 0.0011892999 0.0012032958 0.0012470329 0.0011427635 0.0011802026 0.001185451 0.0011924489 0.0011060244 0.0011906994 0.0011599085 0.0012253392 0.0011711052 0.0011819521 0.0012064448 0.0012235898 0.0011833516 0.0011578092 0.0011767036 0.0012575298 0.0011385648 0.0011532605 0.0011830017 0.001219741 0.0012582296 0.0011599085 0.0012001466 0.0015007082 0.0012183413 0.0012043455 0.0013072152 0.0012827223 0.0011508112 0.0011620079 0.0011735545 0.0013240102 0.0012004966 0.0011571094 0.0011830017 0.0012235898 0.0011623577 0.0012155422 0.001236536 0.0013173622 0.0012137927 0.0011732046 0.0012186912 0.0013030164 0.0012155422 0.0012351364 0.0024814694 0.005369344 8.75056e-07 1.750112e-07 0.0 1.4000896e-06 1.750112e-07 3.500224e-07 3.500224e-07 1.2250784e-06 0.0 1.750112e-07 8.75056e-07 3.500224e-07 0.0 8.75056e-07 1.750112e-07 0.00034337197 1.0500672e-06 1.2250784e-06 1.2250784e-06 1.750112e-06 1.0500672e-06 8.75056e-07 8.75056e-07 5.250336e-07 1.750112e-07 1.4000896e-06 8.75056e-07 1.0500672e-06 8.75056e-07 8.75056e-07 1.2250784e-06 0.00032709594 1.12007165e-05 1.2075773e-05 0.0 3.500224e-07 0.0 0.0 0.0 7.7004925e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002691672 0.0 3.500224e-07 1.0500672e-06 6.440412e-05 2.1526377e-05 1.2250784e-06 7.000448e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00051960826 1.6801076e-05 1.12007165e-05 3.1502016e-06 1.17257505e-05 5.7753696e-06 8.470542e-05 4.2002688e-05 6.300403e-06 2.2751456e-06 3.6752351e-06 2.2751456e-06 8.75056e-07 1.9251231e-06 2.625168e-06 1.9251231e-06 0.015685555 0.00033252127 0.0003360215 0.0003346214 0.00035404766 0.0003312962 0.00048775622 0.00040865116 0.00032727094 0.00032779598 0.000312395 0.00031134492 0.0003090698 0.00030381946 0.00031309505 0.00031327005 0.5457343 0.013161542 0.013286675 0.013145791 0.013302601 0.013346705 0.01328265 0.013308202 0.013220171 0.013155067 0.01328125 0.01319917 0.013265849 0.013168368 0.013262523 0.013323602 0.112180956 0.00336004 0.003638483 0.003731764 0.0034783476 0.0034186689 0.0043859556 0.0039025748 0.0034312697 0.0033735158 0.003387167 0.0033966175 0.0034188437 0.0033572398 0.0033301131 0.0034414202 0.015664028 0.00056458614 0.0005565356 0.0005493602 0.00078457524 0.0006212898 0.0006058888 0.0005826123 0.00057911203 0.00054165965 0.0005423597 0.0005497102 0.00056476117 0.0005442848 0.0005556606 0.00056633627 0.0005869876 1.5050963e-05 6.807936e-05 6.982947e-05 0.00015821012 7.577985e-05 0.00044470347 0.00019408742 1.592602e-05 1.6626063e-05 1.8201164e-05 1.312584e-05 3.3252127e-05 1.3300852e-05 1.2075773e-05 5.687864e-05 0.00048338095 3.7627407e-05 3.815244e-05 2.3976534e-05 4.672799e-05 3.3952172e-05 9.853131e-05 5.6528617e-05 5.530354e-05 1.5050963e-05 2.18764e-05 1.8026154e-05 7.490479e-05 1.9251233e-05 2.3976534e-05 2.8001792e-05 0.00028054297 2.3101478e-05 2.8701837e-05 1.3825885e-05 9.415603e-05 1.5400985e-05 2.1001344e-05 2.327649e-05 5.0578237e-05 1.6976086e-05 1.7851142e-05 2.3451501e-05 2.18764e-05 2.1526377e-05 2.0651321e-05 4.3927812e-05 0.0013167843 0.00021508876 0.00027739274 0.00017378612 0.00092213403 0.00028369317 0.0001797365 0.00031729531 0.0010994204 0.00010325661 0.000119007615 0.0002892935 0.0004296525 0.00018831206 0.00040095067 0.0008526546 0.002451907 0.0004919565 0.00034092183 0.00044942877 0.00081345206 0.0008020763 0.0004560792 0.0007530732 0.0015793011 0.00021071348 0.0003512475 0.00026444191 0.00086193014 0.00037067372 0.0007045951 0.0012845822 0.00094506046 0.00093701 0.0009296595 0.0009354349 0.0009343848 0.000921959 0.0009783126 0.00095661124 0.0009520609 0.00092300907 0.0009200339 0.0009455855 0.00092930946 0.0009436604 0.0009485607 0.000953111 717.0 15.642957 11216.0 0.04413338 0.0024964337 0.003655492 0.0024964337 0.0021398002 0.0015156919 0.0017831669 0.0024964337 0.0016048502 0.0019614836 0.002050642 0.0024072754 0.0017831669 0.0043687588 0.0032988589 0.028708987 0.0030313837 0.003120542 0.0028530671 0.002318117 0.0024964337 0.0022289585 0.0016048502 0.0017831669 0.0026747503 0.0030313837 0.0028530671 0.0021398002 0.051087733 0.0022289585 0.05064194 0.0016940086 0.002318117 0.009896576 0.0027639086 0.005884451 0.014621968 0.0032988589 0.0047253924 0.010699001 0.0032988589 0.009272468 0.0022289585 0.0016048502 0.0042796005 0.003833809 0.008915834 0.003120542 0.013284594 0.0021398002 0.0032097003 0.0074001425 0.0035663338 0.0026747503 0.0035663338 0.006151926 0.007221826 0.002318117 0.0014265336 0.0021398002 0.0017831669 0.002318117 0.0018723252 0.0029422254 0.0021398002 0.042171896 0.012749643 0.017118402 0.04199358 0.05768545 0.008202568 0.013908702 0.016137661 0.046184022 0.0063302424 0.007667618 0.043330956 0.019703994 0.029868046 0.028887304 0.017653352 0.002585592 0.037535664 0.029243937 0.06258916 0.017029244 0.007667618 0.0052603423 0.0052603423 0.0096291015 0.0040121255 0.0015156919 0.0026747503 0.0016048502 0.002050642 0.0021398002 5.605377 0.0 5.0 0.0 6.0 2857984.0 10104832.0 0.0 0.0 83.0 0.0 1.0 0.0 0.0 0.0 1464675300.0 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 1.0 12.0 0.0 5.0 10.0 5.0 1.0 64512.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 1581056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 1166336.0 0.0 0.0 0.0 0.0 0.0 0.0 -64512.0 -2560.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4009793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.425343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4009316 0.0 3.2067146 0.0 0.0 0.0 0.0 0.0 0.0 -6.028352 -5.3415637 4.6065736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1580616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7250624.0 0.0 1165960.0 0.0 0.0 0.0 0.0 0.0 0.0 -64070.0 -2528.0 23576.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 7324000.0 15384.0 10080256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 89416.0 0.0 0.0 352.0 7323648.0 0.0 0.0 0.0 0.0


Input: 0.008122389 0.0040526967 0.0039901137 0.003993713 0.0038913407 0.0038773445 0.0038691468 0.0038363556 0.0039997115 0.0038921405 0.0038435538 0.003839155 0.0039077364 0.0039175334 0.0039225323 0.00389394 0.0038999384 0.003916534 0.003872546 0.0038599493 0.003831957 0.0038985389 0.0039183334 0.003813562 0.003860949 0.0038821432 0.003897539 0.0038619488 0.0039005382 0.0039005382 0.0039479253 0.0038887414 0.0038953398 0.0037887688 0.0038435538 0.0038589495 0.0038887414 0.003865348 0.003890741 0.0038557504 0.003846753 0.003850152 0.0038327568 0.003909336 0.0038585498 0.0038737457 0.0038855423 0.0038959396 0.0038643482 0.0038323568 0.0038111627 0.0038887414 0.0038675473 0.00385775 0.0038931402 0.003868747 0.0038471527 0.0038253588 0.0038475527 0.003876145 0.003879144 0.0038799439 0.0039061368 0.0038619488 0.004060295 0.003901338 0.003927131 0.0038489522 0.0038627486 0.003964121 0.0038805436 0.003860749 0.0038747452 0.0038785443 0.0038659477 0.0038733457 0.003924932 0.0039265314 0.0039009382 0.0038401547 0.0039781174 0.0039005382 0.0038507518 0.0039043373 0.0038815434 0.0039215325 0.0039513246 0.0038453534 0.003850152 0.003854351 0.0038511518 0.0039597224 0.003846353 0.003864748 0.0038855423 0.003876145 0.0038987387 0.00389394 0.0039039373 0.0038903411 0.003897139 0.004032702 0.00389374 0.003901738 0.0039101355 0.0038893414 0.003938728 0.003883743 0.003908736 0.0038675473 0.003924132 0.0038947398 0.0038675473 0.003886542 0.003972319 0.0038997384 0.00400451 0.0040319026 0.0038809436 0.0038961396 0.0038737457 0.003875745 0.0038431538 0.0038477527 0.0038381552 0.0038555504 0.003831757 0.003919333 0.0039725187 0.003828758 0.0038955396 0.003913535 0.0038999384 0.0038661477 0.0038513516 0.0038401547 0.0038569502 0.003908536 0.003882943 0.003997112 0.0038655477 0.003904737 0.0038547507 0.003864948 0.003886542 0.003849752 0.0038233593 0.0038851425 0.0038521513 0.0038147615 0.0038719461 0.0038215597 0.0038227595 0.0038553507 0.0038293577 0.0039149346 0.0038785443 0.0038505518 0.0038375554 0.003928131 0.003860949 0.0038899411 0.003839155 0.00385775 0.0038551507 0.00385775 0.0039041373 0.003913935 0.00393233 0.003890941 0.003875745 0.0038855423 0.0038747452 0.0038189604 0.0039091357 0.0038291577 0.0038671473 0.003876145 0.0038475527 0.0038763448 0.0038539509 0.0038873418 0.0039205328 0.0038765448 0.0039123353 0.00389374 0.003875745 0.0038561504 0.0038145618 0.0038695468 0.0038645482 0.0038899411 0.003949125 0.0039217323 0.0038953398 0.0038743454 0.003882943 0.0038993387 0.0038665475 0.0039003384 0.0038563502 0.0038695468 0.0038547507 0.003919733 0.0038631484 0.0038217597 0.0038979389 0.0038737457 0.0038873418 0.0038279581 0.0039091357 0.0038455531 0.0037991658 0.0038709464 0.0038615488 0.0038663475 0.0038859423 0.003915734 0.0038235593 0.0038879416 0.0038823432 0.0038371554 0.0038919407 0.003824159 0.0039009382 0.0039043373 0.003824359 0.00382076 0.0038767448 0.0038119624 0.0038617488 0.003872746 0.004011708 0.003879144 0.003916134 0.0039671203 0.0038913407 0.0039069364 0.0038665475 0.0038903411 0.0038845427 0.0038933402 0.003846753 0.0038881416 0.003982116 0.0038675473 0.003941527 0.0038633484 0.0039405273 0.0038763448 0.003897139 0.0038621486 0.00389454 0.0038845427 0.003959122 0.0053335484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018779279 2.9998847e-07 5.9997694e-07 5.9997694e-07 5.9997694e-07 9.999616e-07 2.7998924e-06 1.3999462e-06 3.9998463e-07 2.9998847e-07 9.999616e-07 1.2999501e-06 2.5999002e-06 2.9998847e-07 1.9999231e-07 3.5998617e-06 0.00036928582 2.3999078e-06 1.9999231e-06 1.1999539e-06 1.899927e-06 8.999654e-07 1.899927e-06 2.499904e-06 5.699781e-06 4.299835e-06 3.099881e-06 1.2999501e-06 1.2999501e-06 2.8998886e-06 5.4997886e-06 3.3998695e-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 0.00016089382 1.1999539e-06 1.6999347e-06 2.2999118e-06 7.0997276e-06 2.9998848e-06 9.399639e-06 4.7998155e-06 5.799777e-06 3.099881e-06 7.9996926e-07 6.999731e-07 1.1999539e-06 7.9996926e-07 7.9996926e-07 1.1999539e-06 0.0006046768 1.2699512e-05 1.8099305e-05 8.499674e-06 1.6599362e-05 2.5999001e-05 2.499904e-05 1.55994e-05 2.4799048e-05 1.1999539e-06 2.0999194e-06 3.6998579e-06 5.799777e-06 1.7999308e-06 4.7998155e-06 4.7798163e-05 0.000728472 1.2599517e-05 1.9499252e-05 1.5199416e-05 1.769932e-05 2.5399024e-05 2.7398948e-05 1.8199302e-05 2.5999001e-05 6.899735e-06 7.7997e-06 8.8996585e-06 1.4199455e-05 4.7998155e-06 9.499635e-06 8.139687e-05 0.00029488868 6.799739e-06 1.5299413e-05 9.699627e-06 7.2997195e-06 8.799662e-06 2.759894e-05 1.8699282e-05 1.0999577e-05 2.7998924e-06 4.1998387e-06 5.4997886e-06 6.2997583e-06 5.599785e-06 1.1799547e-05 0.00017809316 0.00034188686 9.699627e-06 1.4599439e-05 1.1399562e-05 4.009846e-05 2.4699051e-05 9.7996235e-05 5.98977e-05 3.5498637e-05 1.4499443e-05 1.8699282e-05 2.5499021e-05 5.309796e-05 2.6698975e-05 3.5598634e-05 0.00041888392 0.0005700781 1.8199302e-05 3.669859e-05 3.019884e-05 9.5196345e-05 4.8298145e-05 0.00024609055 0.00018609286 6.529749e-05 4.039845e-05 4.1998388e-05 5.4197917e-05 4.529826e-05 3.019884e-05 2.7898928e-05 0.0005117803 0.00038358528 1.929926e-05 1.9899237e-05 2.3599094e-05 3.0598825e-05 2.2599132e-05 3.0698822e-05 4.189839e-05 3.769855e-05 2.1699167e-05 2.7298951e-05 2.8698898e-05 4.8998118e-05 2.1599171e-05 3.7298567e-05 0.00022849122 0.00021819162 1.1799547e-05 2.2999116e-05 2.0399217e-05 3.11988e-05 1.379947e-05 5.129803e-05 4.269836e-05 2.969886e-05 1.1699551e-05 1.0399601e-05 1.3099497e-05 3.1398795e-05 1.6199378e-05 2.2099151e-05 6.7397414e-05 0.00076197076 0.000104196 5.1498024e-05 0.00011079574 0.00018599286 0.00015199416 9.919619e-05 0.00020959195 0.00024859046 5.309796e-05 7.359718e-05 4.919811e-05 0.00013369486 8.729665e-05 0.00018659284 0.00035978618 0.0005759779 0.000130295 8.509673e-05 0.00012809508 0.00023269106 0.00018939273 7.9496946e-05 0.00018819277 0.00021709167 3.1298798e-05 4.009846e-05 3.949848e-05 0.00010599593 4.5398257e-05 0.00011909543 0.0002497904 0.061578237 0.061824627 0.061556835 0.06145064 0.06172853 0.06170963 0.061831124 0.06154024 0.06150254 0.061536137 0.06176933 0.06175583 0.06170263 0.061577734 0.06174853 0.06167113 23320.0 5.7090907 133136.0 0.01056063 0.00975694 0.010462985 0.010012318 0.009974763 0.009899652 0.01015503 0.010012318 0.009599207 0.009862096 0.009967252 0.010868586 0.010162541 0.010312763 0.010365341 0.010447963 0.0101475185 0.009967252 0.01049303 0.010538097 0.0100198295 0.010094941 0.009922185 0.010402896 0.009561651 0.009659296 0.010417919 0.009794496 0.010117474 0.010380363 0.010042363 0.010230141 0.010635741 0.011011297 0.010312763 0.010658274 0.010252674 0.010740897 0.010387874 0.010530585 0.010049874 0.009802007 0.010004807 0.01008743 0.010658274 0.010335296 0.010478008 0.009967252 0.01096623 0.01029023 0.010335296 0.010282719 0.010568141 0.010455474 0.010605697 0.00975694 0.010094941 0.010012318 0.01022263 0.010951208 0.010643252 0.009922185 0.009847074 0.009771963 0.010132496 0.010823519 0.0103428075 0.010635741 0.011394364 0.013302187 0.010568141 0.010996275 0.010748408 0.011799964 0.009914674 0.01022263 0.011334275 0.010282719 0.011221608 0.011649742 0.010237652 0.010876097 0.011845031 0.011281697 0.01237832 0.010951208 0.010320274 0.010943697 0.010132496 0.010973741 0.010245163 0.010170052 0.00968934 0.009967252 0.009809518 0.009959741 6.5826683 0.0 1.0 0.0 83.0 5001361.0 241664.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1233799200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.260295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7090273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.484967 0.0 4.748402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23126.0 0.0 37760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 180.0 29604.0 37760.0 200704.0 0.0 0.0 5432.0 5680912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.056740243 0.008305827 0.0061775367 0.005655053 0.005759757 0.0049708486 0.0041974904 0.0054197283 0.005046526 0.005629136 0.0037413542 0.004458732 0.0049470053 0.0031763671 0.0043270746 0.00464015 0.0050403057 0.0037620876 0.004931455 0.004158097 0.0043529915 0.0031784405 0.004112483 0.0038388015 0.0050796997 0.0033463817 0.0031680737 0.002935859 0.00415084 0.003446939 0.0037838577 0.0037911145 0.0061713164 0.003814958 0.0034811492 0.003014646 0.0048827315 0.004161207 0.0038377647 0.0037216574 0.0047272304 0.0038895984 0.003336015 0.0030955067 0.004366468 0.0037247674 0.0037206206 0.0035848164 0.0055202856 0.0039559454 0.00309758 0.0028995753 0.0036708603 0.0030675165 0.0026891306 0.0028643284 0.0041777934 0.0033173547 0.0035153592 0.0033505282 0.0040005227 0.0032219808 0.0035060293 0.0034614524 0.006600499 0.0039559454 0.0036190266 0.003217834 0.00415395 0.0032230176 0.0035464596 0.0030644063 0.0050029857 0.0037745277 0.0037061071 0.0035848164 0.0041311434 0.0031286802 0.0035599363 0.0034655991 0.00517611 0.0036283568 0.0036584202 0.0033297949 0.0039248453 0.0033774818 0.0033588216 0.0035298727 0.00463393 0.0036511635 0.0038108113 0.0035081026 0.00411041 0.003393032 0.003697814 0.0037880044 0.0059173317 0.0036304302 0.0033463817 0.0029545191 0.0040098527 0.0030550763 0.0032613743 0.0030322697 0.004972922 0.0031711839 0.0032074673 0.0030509296 0.0035827432 0.002837375 0.0030861765 0.0031908806 0.0045012357 0.0032924747 0.0032302742 0.0031442302 0.0038947817 0.0033401616 0.0032904013 0.0036221368 0.00462149 0.0032935112 0.0034749291 0.0031660004 0.004040953 0.0032002106 0.0034645624 0.0033411982 0.008657259 0.004598683 0.004018146 0.0035288362 0.0043747616 0.0034365722 0.0030136094 0.0033857753 0.0045344094 0.0038294713 0.0029555557 0.0031939906 0.0037340974 0.002808348 0.0028477418 0.0029773258 0.0052383104 0.003208504 0.0034915158 0.0030260496 0.003668787 0.0031856971 0.003303878 0.0032675944 0.0045468495 0.0028394484 0.0030395263 0.0027015707 0.0035153592 0.0032282008 0.002983546 0.0031618536 0.0050029857 0.0034065086 0.0032748512 0.0027917614 0.0037714178 0.0030187927 0.0030654431 0.0031805139 0.00414151 0.0029980594 0.003123497 0.0030156828 0.0036407968 0.002843595 0.0029109789 0.0030364164 0.004672287 0.0031110568 0.003839838 0.0028549985 0.0035682297 0.0031535605 0.0030001327 0.00312246 0.0042503607 0.003145267 0.0033266847 0.003170147 0.003650127 0.003186734 0.0033235748 0.0033557117 0.00671868 0.004062723 0.0037185473 0.0033370515 0.00411352 0.0032541177 0.0032997313 0.0032354575 0.0043405513 0.0033246113 0.0031152035 0.0030799566 0.0036470168 0.0029814725 0.0030726998 0.0028031648 0.004246214 0.003272778 0.0030861765 0.0029939127 0.003713364 0.003028123 0.0029379323 0.0029534823 0.0039777155 0.0031079468 0.0027254142 0.0026352236 0.0035298727 0.0029462257 0.0035817064 0.002885062 0.004951152 0.0032323475 0.003389922 0.0029783626 0.0038139212 0.0030716632 0.003192954 0.0028995753 0.0044452553 0.005461195 0.0034635258 0.0031380102 0.0037869678 0.0030716632 0.0032385676 0.0031888073 0.0046131965 0.0033173547 0.0034137655 0.003034343 0.0037444641 0.00308514 0.0033121714 0.0032489344 0.004354028 0.0030312329 0.0031856971 0.0028591452 0.0040129623 0.00309136 0.0042171874 0.0045198957 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09920567 0.06202988 0.06241698 0.055320036 0.060611736 0.05956564 0.05496978 0.05448098 0.060480975 0.053181145 0.052123636 0.052947123 0.056419056 0.050543595 0.056631804 0.053811602 4022.0 5.703879 22941.0 0.0171309 0.010461619 0.009371867 0.008587246 0.013425744 0.012466762 0.011769322 0.011551371 0.012641123 0.009764178 0.008500066 0.008587246 0.013861645 0.010592389 0.011812911 0.0098949475 0.01678218 0.011856502 0.008674426 0.0075410837 0.009807767 0.008500066 0.0078026243 0.008325705 0.010243668 0.0084128855 0.009589817 0.008848786 0.011551371 0.009023147 0.009807767 0.009284687 0.018089883 0.01089752 0.010418029 0.009110327 0.01081034 0.008892376 0.010679569 0.008282115 0.014253955 0.011594961 0.009764178 0.008979556 0.011420601 0.009371867 0.011638551 0.009589817 0.014777036 0.009589817 0.009982128 0.009066736 0.0121180415 0.009371867 0.009589817 0.009764178 0.013643695 0.009197507 0.010592389 0.009546227 0.01111547 0.009807767 0.010418029 0.010679569 0.017915523 0.0109847 0.009720587 0.008194935 0.013120614 0.008238525 0.009371867 0.008325705 0.015430888 0.009284687 0.008892376 0.008674426 0.011333421 0.007933394 0.0098949475 0.007933394 0.013207794 0.007933394 0.008718016 0.008761606 0.011551371 0.009502637 0.008325705 0.007889804 0.0109847 0.008805196 0.011987272 0.008543655 0.011246241 0.009066736 0.009982128 0.008718016 6.55455 0.0 0.0 0.0 14.0 964624.0 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: 0.17361018 0.0256421 0.0142335035 0.009656653 0.015423819 0.0070329267 0.018039163 0.007334697 0.006337178 0.0039984575 0.016706344 0.0033194742 0.0024393105 0.0021375401 0.0041241953 0.0017603273 0.0023051905 0.00964827 0.0067730686 0.0051636267 0.001953125 0.0029757912 0.00570849 0.0033362394 0.0029003487 0.0025063707 0.0034200645 0.0025901957 0.0027662285 0.0028835838 0.0033865343 0.0015842945 0.006563506 0.0015926771 0.0011400215 0.009656653 0.0055995174 0.001542382 0.008826784 0.0009639887 0.012196553 0.0009807538 0.005104949 0.008843549 0.0027494635 0.0070161615 0.0017351797 0.0007041309 0.008483101 0.005465397 0.005331277 0.0050462713 0.005121714 0.004610381 0.0050462713 0.004627146 0.0058006975 0.005373189 0.0009304587 0.00041074303 0.0007041309 0.022942932 0.0005364807 0.0006203058 0.0010142837 0.0080220625 0.0052725994 0.006219823 0.006613801 0.0058845226 0.006647331 0.0055911345 0.005465397 0.0062617357 0.0050798017 0.005280982 0.0062952656 0.00557437 0.005465397 0.0049959766 0.005448632 0.006270118 0.005725255 0.006060555 0.0052642166 0.0053061293 0.005004359 0.0051971567 0.0062449705 0.0060018776 0.0047696484 0.0008633986 0.0006538358 0.000787956 0.0005280982 0.006152763 0.0008633986 0.009187232 0.00590967 0.007485582 0.0061108503 0.013831142 0.006353943 0.0080220625 0.0050965664 0.008457953 0.004727736 0.0053396593 0.0074269045 0.006429386 0.00811427 0.014786749 0.0058509926 0.014518509 0.008742958 0.009279439 0.011349919 0.006630566 0.0050127413 0.0063707083 0.005172009 0.006840129 0.004367288 0.0036380095 0.00057001074 0.001986655 0.0046858233 0.000787956 0.003923015 0.0030177038 0.0012406115 0.0006203058 0.0008550161 0.0006873659 0.0007041309 0.0006370708 0.0006119233 0.001131639 0.0006873659 0.00041912554 0.001232229 0.0010561964 0.0010645789 0.0006538358 0.0005029506 0.0011400215 0.00041912554 0.00057001074 0.0005280982 0.0005448632 0.00042750806 0.0004778031 0.000737661 0.0009891363 0.0013244367 0.0005113332 0.0009472237 0.0008885461 0.00049456814 0.00044427306 0.0007628085 0.0006286883 0.0010645789 0.0022548954 0.00059515826 0.0008382511 0.0005783932 0.0005448632 0.0008550161 0.001525617 0.0010142837 0.0011148739 0.0007628085 0.0009556062 0.0006873659 0.0006873659 0.0007628085 0.0008466336 0.0008466336 0.0006370708 0.0010897263 0.0007628085 0.00048618563 0.00082986854 0.0005448632 0.0006286883 0.000393978 0.00035206546 0.0005280982 0.00049456814 0.00041074303 0.00193636 0.00059515826 0.00057001074 0.00027662286 0.0004023605 0.0005783932 0.0004610381 0.00035206546 0.00049456814 0.00057001074 0.001148404 0.00028500537 0.00043589057 0.0006957484 0.00057001074 0.00045265557 0.0002514753 0.0029674089 0.0004778031 0.00048618563 0.0003269179 0.00041074303 0.0004694206 0.000393978 0.0003855955 0.0004023605 0.00072089594 0.0003269179 0.0003185354 0.00074604346 0.0006203058 0.0018692999 0.00041074303 0.000804721 0.0006203058 0.00034368294 0.00041074303 0.00067898334 0.00042750806 0.00041074303 0.00072089594 0.0006622184 0.0006873659 0.00048618563 0.00042750806 0.00048618563 0.0008382511 0.0007041309 0.000393978 0.0004023605 0.00074604346 0.00045265557 0.0017435623 0.0007125134 0.0007125134 0.0003269179 0.00067060086 0.0008885461 0.00074604346 0.00041074303 0.000393978 0.0004778031 0.0005029506 0.0013579667 0.0030931465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074346126 0.0012865149 0.0005731997 0.00016559103 0.00278108 0.0015964673 0.01252123 0.007184103 0.00077275815 0.00012313179 3.396739e-05 4.670516e-05 2.9721466e-05 2.5475543e-05 0.00014011549 6.793478e-05 0.025373641 0.0055494225 0.00234375 0.00072605297 0.0009213655 0.0010487433 0.0007302989 0.00068359374 0.002619735 0.0007430367 0.00072605297 0.00026749322 0.00043733016 0.00034816575 0.0005731997 0.00038637908 0.13383576 0.021683933 0.033564027 0.007192595 0.007549253 0.005748981 0.017421026 0.017578125 0.004139776 0.0028914742 0.0024244227 0.0025475544 0.0018172554 0.004305367 0.00222911 0.004636549 0.09434868 0.018210767 0.03035411 0.06872453 0.07067765 0.056109883 0.07851563 0.064797044 0.0048233694 0.0027258832 0.0033330503 0.002063519 0.0013884171 0.0028405231 0.0019701086 0.0034646739 0.031818952 0.0077318274 0.0048318612 0.0016983695 0.0019488791 0.0024414062 0.005969769 0.003065557 0.0028362772 0.000946841 0.0014733355 0.001002038 0.0010190217 0.00076851225 0.00084493886 0.001167629 0.010572351 0.0023055368 0.0008873981 0.00079398777 0.00096382474 0.0006920856 0.0010784647 0.0007133152 0.0009808084 0.00090013584 0.0019234036 0.0011379076 0.0007345448 0.0006199049 0.00072180707 0.001061481 0.0028744906 0.0008067255 0.00019106657 0.00024626357 0.00024201766 0.00019106657 0.00042034648 0.0002632473 0.00024626357 0.00036514946 0.0010402513 0.000670856 0.00023352582 0.00017408287 0.00023352582 0.0004967731 0.004470958 0.0010444972 0.0012143343 0.00065387227 0.0011548913 0.0009553329 0.0010317595 0.0008322011 0.00065387227 0.0006241508 0.0011081861 0.0010742188 0.0006411345 0.00058169157 0.0006581182 0.0006920856 0.0013841712 0.00144786 0.0014605979 0.0013799253 0.0025560462 0.001456352 0.0015200408 0.0014351223 0.0013756794 0.0013629416 0.0026494565 0.0024668819 0.00144786 0.0013586957 0.0013586957 0.0014266304 1713.0 26.778168 45871.0 0.00056680694 8.7201064e-05 4.3600532e-05 0.02291208 0.011619542 6.5400796e-05 0.0014170173 0.00015260186 0.00017440213 8.7201064e-05 0.00043600533 0.00017440213 0.000327004 0.0008938109 0.0017658216 6.5400796e-05 0.010900133 0.011030935 0.011401539 0.010551329 0.011554141 0.009940921 0.011641342 0.010638529 0.011532341 0.0113361385 6.5400796e-05 4.3600532e-05 8.7201064e-05 0.058032308 0.00013080159 4.3600532e-05 2.1800266e-05 0.017571015 0.012055547 0.0139521705 0.013646967 0.013232761 0.012099148 0.012796756 0.011139936 0.013646967 0.011379739 0.011946546 0.011859344 0.012099148 0.012447952 0.01144514 0.012578754 0.014475376 0.012753156 0.0138431685 0.0119247455 0.012186348 0.011096335 0.012208149 0.011684943 0.011074536 0.010551329 0.00010900133 6.5400796e-05 8.7201064e-05 6.5400796e-05 0.014213773 0.00023980293 0.019402238 0.013298162 0.01730941 0.014061172 0.034073815 0.014845981 0.017462013 0.011946546 0.019489437 0.010769332 0.012600554 0.017418412 0.014584378 0.01972924 0.021407861 0.013385363 0.033485208 0.020732053 0.01885723 0.026138518 0.014889582 0.011575941 0.015369187 0.01227355 0.013777768 0.0098973205 6.5400796e-05 2.1800266e-05 0.00030520372 0.00047960586 0.00013080159 5.9800367 0.0 0.0 0.0 9.0 119296.0 147456.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1424566100.0 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 6.0 0.0 4.0 0.0 4.0 0.0 116736.0 512.0 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 -116736.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.601687 0.0 7.688164 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 -116632.0 0.0 1296.0 0.0 0.0 0.0 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 87.0 124728.0 1296.0 139264.0 0.0 0.0 0.0 0.0 12.0 131072.0 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: 0.05670791 0.008300058 0.006170908 0.0056518307 0.0057512945 0.0049731964 0.0041971705 0.005417676 0.0050498666 0.005626965 0.0037444027 0.0044582635 0.0049483306 0.0031776654 0.0043318616 0.004639578 0.005054011 0.003762016 0.0049369335 0.0041609076 0.0043567275 0.0031755932 0.004112212 0.0038417943 0.0050747325 0.0033444746 0.0031569437 0.0029269333 0.0041526193 0.003447047 0.003786882 0.003787918 0.0061636553 0.0038190004 0.003486418 0.0030253613 0.0048851296 0.0041609076 0.00383765 0.0037226449 0.004729717 0.0038946345 0.0033403304 0.0030937428 0.00436398 0.003710212 0.0037257532 0.0035900262 0.005518176 0.003953691 0.0031123923 0.002896887 0.0036791293 0.0030761294 0.0026875983 0.0028533714 0.0041723046 0.0033092478 0.0035309696 0.0033548356 0.0039972067 0.0032273973 0.0035050674 0.0034584438 0.006597774 0.0039557633 0.0036180005 0.003223253 0.0041557276 0.0032222169 0.0035454747 0.0030699128 0.005006351 0.003775485 0.0037060676 0.0035807015 0.0041339695 0.0031300057 0.0035465108 0.0034625882 0.005164872 0.0036325057 0.0036552995 0.0033382582 0.0039226087 0.0033776292 0.0033569077 0.003537186 0.0046489025 0.0036542634 0.0038076036 0.00351232 0.0041091037 0.0033879902 0.0036967427 0.0037899902 0.0059108515 0.0036293974 0.0033413665 0.0029517994 0.0040065316 0.0030522994 0.0032595159 0.0030326138 0.0049597276 0.003172485 0.00321082 0.0030543716 0.0035827737 0.0028378302 0.003097887 0.0031900983 0.0045069596 0.003275057 0.0032211808 0.003135186 0.0038946345 0.0033424024 0.0032874902 0.0036325057 0.0046209283 0.0032947427 0.0034791655 0.0031704127 0.004036578 0.003198387 0.0034667323 0.0033413665 0.008644037 0.0045950264 0.004011712 0.0035278613 0.004379521 0.0034346138 0.0030181087 0.0033931707 0.00453597 0.0038324697 0.0029528355 0.003198387 0.0037340417 0.002798459 0.0028575158 0.0029859901 0.005240506 0.0032035674 0.0034926345 0.0030295055 0.0036646242 0.0031807737 0.0033051036 0.003261588 0.0045421864 0.0028367941 0.0030429747 0.002710392 0.003511284 0.0032305056 0.0029880623 0.003146583 0.0050115315 0.003410784 0.0032781654 0.0027974232 0.003774449 0.0030284694 0.0030647323 0.0031900983 0.00413915 0.002998423 0.0031196447 0.003010856 0.0036387222 0.0028409385 0.0029124282 0.0030409025 0.0046696244 0.0031165364 0.0038449026 0.0028523353 0.0035651603 0.0031445108 0.0029932426 0.0031206808 0.004252083 0.0031527993 0.0033444746 0.003173521 0.0036532274 0.0031849178 0.003324789 0.0033579438 0.006710707 0.0040562632 0.0037205727 0.0033424024 0.0041163564 0.0032553715 0.0033061397 0.0032315417 0.00434015 0.003325825 0.0031175725 0.0030782016 0.0036449386 0.0029870262 0.0030740572 0.0027901705 0.0042572636 0.0032802375 0.003084418 0.0030004953 0.003712284 0.00300982 0.0029300416 0.002934186 0.0039785574 0.0031061757 0.0027300776 0.0026389025 0.003538222 0.002947655 0.0035775932 0.002884454 0.0049483306 0.0032387942 0.0033890263 0.002973557 0.0038138202 0.003071985 0.0031932066 0.0028999953 0.004442722 0.005453939 0.003473985 0.0031424386 0.0037930985 0.0030688767 0.0032408664 0.0031797376 0.0046074595 0.0033133922 0.0034315055 0.0030388304 0.0037464746 0.0030823457 0.003312356 0.0032408664 0.004349475 0.0030315777 0.003182846 0.0028554436 0.0040148203 0.0031009952 0.004225145 0.00451732 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09919426 0.06203351 0.062440846 0.05532107 0.06061122 0.05956564 0.05495162 0.05447112 0.060480457 0.05316402 0.05214958 0.052951273 0.056416463 0.050524395 0.056631804 0.05383236 4021.0 5.7035565 22934.0 0.01713613 0.010464812 0.009331124 0.008589867 0.013386238 0.012514171 0.011772914 0.011511293 0.012644981 0.009723554 0.008502659 0.008589867 0.013865876 0.010508415 0.01186012 0.009897968 0.016874509 0.011903724 0.008677074 0.007499782 0.009810762 0.008502659 0.007848609 0.008328246 0.010246796 0.008415453 0.0095927445 0.008851487 0.011511293 0.008982297 0.009679951 0.009243918 0.018095404 0.010900846 0.010377605 0.0091567105 0.0108136395 0.008982297 0.010726432 0.008284643 0.0142583065 0.0115985 0.009810762 0.008982297 0.011424086 0.0093747275 0.011642103 0.0095927445 0.014781547 0.009636348 0.009941571 0.009069504 0.012078137 0.009331124 0.009549141 0.009767158 0.013691463 0.009200314 0.010552019 0.0095927445 0.011118863 0.009810762 0.010464812 0.010682829 0.017964594 0.010988053 0.009679951 0.0081538325 0.013168222 0.008284643 0.009418331 0.008328246 0.015435598 0.00928752 0.00889509 0.008720676 0.011380483 0.007979419 0.009941571 0.007848609 0.013168222 0.0079358155 0.008720676 0.008851487 0.01146769 0.009418331 0.0081538325 0.007892213 0.010857242 0.008851487 0.01186012 0.008589867 0.011249673 0.0091567105 0.010072381 0.008720676 6.5544586 0.0 0.0 0.0 14.0 965174.0 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: 0.15832031 0.0061816406 0.0063916016 0.006401367 0.005078125 0.0048535154 0.004301758 0.004194336 0.0046044923 0.0025292968 0.003359375 0.0025146485 0.0036962891 0.002758789 0.003916016 0.0033691407 0.00765625 0.0049023437 0.0034619141 0.0034375 0.0032617187 0.006591797 0.0034667968 0.0028027343 0.0035986328 0.0029296875 0.0026123046 0.003901367 0.0034619141 0.0030908203 0.0035009766 0.0038427734 0.006425781 0.0025927734 0.0030126953 0.0034375 0.0030957032 0.0030957032 0.002841797 0.0025830078 0.0038964844 0.0022167969 0.0031396484 0.0024316406 0.0025585936 0.0019433594 0.0030322266 0.002084961 0.0037353516 0.0036035157 0.0040478515 0.0023095703 0.0018652343 0.0025341797 0.003076172 0.0028222657 0.0025878907 0.0027978516 0.002602539 0.0028613282 0.0022558593 0.0020507812 0.003076172 0.0031396484 0.011699218 0.0055859373 0.0038134765 0.004111328 0.0032177735 0.0067089843 0.0037304687 0.0033984375 0.0027001954 0.0026464844 0.002133789 0.0017382812 0.004736328 0.005488281 0.002553711 0.0027392579 0.009106445 0.0055615236 0.0049658203 0.0032324218 0.0030908203 0.00503418 0.0042871092 0.0033251953 0.0026708983 0.0018847656 0.0018945313 0.0025195312 0.0032910155 0.0024951173 0.0024462892 0.0044677733 0.0039697266 0.004628906 0.0041357423 0.0037109375 0.0048046876 0.0044873045 0.0033398438 0.0018505859 0.0046923826 0.0018896484 0.0033398438 0.002138672 0.0049023437 0.0016845703 0.0036474608 0.0033935546 0.0030615234 0.0034277344 0.00550293 0.002680664 0.0034277344 0.0041064452 0.0026855469 0.0025927734 0.003076172 0.002319336 0.0020605468 0.0017480468 0.0028955077 0.0034716798 0.0033544921 0.0034228517 0.0048876954 0.0045214845 0.0019384766 0.004174805 0.0024023438 0.0040722657 0.0016064453 0.0024951173 0.004111328 0.006850586 0.0025 0.0086425785 0.0035595703 0.009731445 0.003071289 0.0036621094 0.0051464844 0.0033447265 0.0025878907 0.002651367 0.0036279296 0.003251953 0.0017285156 0.0021777344 0.0036474608 0.0026708983 0.0015966797 0.00234375 0.0025341797 0.0020898439 0.0015771484 0.0022998047 0.003383789 0.0027978516 0.002265625 0.0034375 0.0026416015 0.0019482422 0.0022119142 0.0021728515 0.0039453125 0.0028710938 0.0029638673 0.0025976563 0.0020898439 0.0020410155 0.0024316406 0.0025195312 0.0034033202 0.002841797 0.0021777344 0.0023779296 0.0015869141 0.0015283204 0.0019873048 0.0019677735 0.003984375 0.0033984375 0.0020898439 0.0015966797 0.0027539062 0.0019482422 0.0023632813 0.0030126953 0.0054443358 0.002084961 0.00171875 0.0024316406 0.005566406 0.0026367188 0.0035839844 0.0043310546 0.0045898436 0.0026660156 0.0031835937 0.0019482422 0.0039746095 0.0014501953 0.0018457031 0.0016992188 0.002836914 0.0021289063 0.0012841797 0.002553711 0.0051171873 0.0017382812 0.001953125 0.0026953125 0.0044873045 0.002421875 0.0018212891 0.0022753906 0.003857422 0.0017236328 0.0017626953 0.0024072265 0.0029052733 0.0015478516 0.004731445 0.0031689452 0.0040722657 0.0024365233 0.0030908203 0.0020410155 0.003491211 0.0021679688 0.003623047 0.0023291016 0.0030273437 0.0017089844 0.0027929686 0.002001953 0.0018505859 0.0031152344 0.0019677735 0.002944336 0.002548828 0.002651367 0.0017626953 0.0026269532 0.002973633 0.0030126953 0.0027148437 0.0024023438 0.0035986328 0.002607422 0.0033642577 0.019189453 0.04522613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0045810104 4.9073493e-05 5.3980842e-05 2.2083072e-05 4.9073493e-05 2.4536746e-05 7.361024e-05 5.1527168e-05 2.4536746e-05 9.814698e-06 2.4536746e-05 1.2268373e-05 1.4722048e-05 2.4536746e-06 1.4722048e-05 1.7175722e-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 0.016395453 0.00022328438 0.0001938403 0.00019874764 0.0006968436 0.00032633872 0.00083670305 0.00052508636 0.00012268373 9.814698e-06 7.361024e-06 0.000117776384 1.9629397e-05 1.2268373e-05 0.00021592337 0.00019874764 0.007986711 0.0002919873 0.0001251374 3.4351444e-05 0.00060115027 1.7175722e-05 7.6063916e-05 0.0001643962 0.0001447668 4.4166143e-05 4.4166143e-05 7.361024e-05 4.171247e-05 3.189777e-05 0.00024291378 0.00013004476 0.00757204 0.00033124606 0.000112869035 6.624922e-05 0.00076309283 5.1527168e-05 0.000120230055 0.00018157192 9.3239636e-05 3.680512e-05 2.9444096e-05 0.00014231313 4.4166143e-05 4.6619818e-05 0.00024046011 0.00021837704 0.017210074 0.00081462 0.00046619817 0.00021837704 0.0012734571 0.0001742109 0.00089313753 0.0005496231 0.0003680512 0.00017666457 0.00020610867 0.00035332915 0.00029444095 0.00013740578 0.00024536747 0.0017445626 0.00855351 0.00018157192 0.00024291378 0.0003189777 0.00091767433 0.00081462 0.0019727545 0.0010354507 0.00010550801 7.1156566e-05 3.680512e-05 0.00016684987 5.3980842e-05 6.870289e-05 0.00017666457 0.0003582365 0.007736436 0.00028217258 0.00033369975 0.0005422621 0.0007361024 0.00072138035 0.0018819685 0.0012121153 0.00018647927 9.3239636e-05 0.00010060066 0.00017666457 0.00012759108 5.1527168e-05 0.0001840256 0.000709112 0.0067819566 0.00040976366 0.0005471694 0.00047601288 0.0007876296 0.00076063914 0.002640154 0.0014133166 0.0001349521 7.1156566e-05 9.078596e-05 7.851759e-05 0.0001349521 8.5878615e-05 7.361024e-05 0.0005888819 0.006264231 0.0005030033 0.00044902245 0.00043675408 0.0012783644 0.0005005496 0.0027064031 0.0011016999 0.00014231313 0.00017911824 0.0002134697 0.0001938403 0.00021837704 0.0001938403 0.00019629397 0.00049809593 0.0031529719 0.00057415984 0.00040240263 0.00017175723 0.0010280897 0.0006624921 0.001349521 0.0007140193 0.00031407035 0.0001545815 0.00014231313 0.00023309908 0.00018157192 0.000117776384 0.00027726524 0.00057415984 0.022240106 0.00757204 0.0012538277 0.0013765114 0.010045344 0.009598775 0.004617816 0.0026205245 0.0129873 0.002865892 0.0017347479 0.0023260836 0.0034057004 0.0037295853 0.0032609336 0.010867325 0.0116181495 0.0053882697 0.0011139683 0.0009446647 0.0066936244 0.0060826596 0.002524831 0.0013740578 0.00745181 0.001999745 0.0011753101 0.0014623901 0.0024389527 0.0024929333 0.0023457129 0.0051944293 0.053688854 0.046163436 0.04328282 0.04076535 0.042419128 0.040816877 0.037133913 0.03908949 0.046470143 0.037771866 0.03870181 0.033865616 0.042411767 0.034297463 0.037874922 0.038512878 1048.0 7.8129773 8188.0 0.016853932 0.0031753785 0.0047630677 0.0053737178 0.006228627 0.0029311187 0.0061064973 0.005129458 0.0053737178 0.004274548 0.0079384465 0.0032975085 0.0032975085 0.0036638984 0.009648265 0.0034196386 0.007205667 0.009159746 0.011724475 0.0053737178 0.0058622374 0.0031753785 0.010503176 0.0059843673 0.0053737178 0.010381046 0.004396678 0.0032975085 0.0029311187 0.0034196386 0.008426966 0.0054958477 0.0076941866 0.0079384465 0.009037616 0.015266243 0.0079384465 0.008304836 0.0094040055 0.0094040055 0.0061064973 0.010869565 0.0034196386 0.004518808 0.015999023 0.006350757 0.008304836 0.010258916 0.010869565 0.006717147 0.0059843673 0.015388373 0.009037616 0.0053737178 0.015876893 0.0057401075 0.0032975085 0.004518808 0.0018319492 0.0029311187 0.008671226 0.004030288 0.0076941866 0.04787494 0.008426966 0.054469954 0.029189058 0.014289204 0.017342452 0.035295554 0.009892526 0.006961407 0.0047630677 0.020639962 0.006595017 0.004885198 0.02259404 0.011113825 0.02430386 0.026746457 0.012457254 0.006839277 0.04738642 0.018685881 0.031753786 0.012823644 0.027112847 0.0075720567 0.009281876 0.008671226 0.0036638984 0.0032975085 0.0047630677 0.004518808 0.009159746 0.0036638984 6.1344447 2.0 0.0 0.0 1.0 204800.0 208896.0 0.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 1095980300.0 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 192512.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192512.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.564888 0.0 3.548166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188928.0 0.0 2036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 190868.0 2036.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 484.0 4096.0 0.0 0.0 0.0 0.0