Input: 0.3420462 0.0063358946 0.007669002 0.0045664976 0.0051045883 0.0035339457 0.0036212036 0.0034321449 0.0068497467 0.0029182928 0.003228543 0.0029813123 0.0044259154 0.003243086 0.002743777 0.0048185764 0.0051045883 0.0025013937 0.0024626125 0.002399593 0.0034176018 0.0032915627 0.0028504254 0.002569261 0.0031073515 0.0025062414 0.0024189835 0.0025595657 0.0028940544 0.0026371283 0.00261289 0.0030491794 0.005584507 0.0025498704 0.0025062414 0.0031752188 0.0034224496 0.0025304796 0.0025062414 0.0023753545 0.0026953002 0.0024335263 0.0023414209 0.0062340936 0.0026274328 0.002656519 0.002540175 0.0024723078 0.0035533365 0.0032624768 0.0029619215 0.0051821508 0.0030879609 0.0034127543 0.0031461327 0.0029473787 0.003272172 0.0034903167 0.002869816 0.0044307634 0.0029376834 0.0030346366 0.0028940544 0.0030297888 0.0053033424 0.0041689896 0.0013767361 0.0017063771 0.002225077 0.0051869988 0.002123276 0.0019002836 0.0017257677 0.0014397557 0.0012749352 0.001177982 0.0015803379 0.0031218946 0.0013815837 0.0012167632 0.0031364374 0.0016239668 0.0012361539 0.00261289 0.0016239668 0.002554718 0.0030734178 0.0056766123 0.001405822 0.0031025037 0.0014009743 0.0016094239 0.004576193 0.002656519 0.0020602564 0.0017984827 0.0017063771 0.0059723197 0.004711928 0.0018421117 0.0020844948 0.007189083 0.0026468236 0.0014203651 0.002152362 0.002569261 0.006190465 0.0014106696 0.0021426666 0.0015270136 0.0021911433 0.0027777106 0.0018372639 0.0010277043 0.0026468236 0.0020069322 0.006001406 0.0067624887 0.0016675958 0.0013282595 0.0014252127 0.001405822 0.0012991735 0.0008434932 0.0014446033 0.0059480816 0.0013185642 0.0014688417 0.0024286788 0.0025062414 0.0013864314 0.0068206606 0.0020747995 0.004072036 0.004435611 0.0012506968 0.0019826938 0.0050464165 0.001808178 0.011988268 0.0013573454 0.0037133093 0.0012797829 0.0012943258 0.0013767361 0.0010955717 0.0012458492 0.0012555445 0.0014930799 0.0015124707 0.0012216109 0.001134353 0.0012410015 0.0012652398 0.001177982 0.0013234118 0.0012894782 0.0013524977 0.0043289624 0.0011925249 0.0043677436 0.0014203651 0.0009501418 0.0013961267 0.0011634389 0.0011876773 0.00094529416 0.00088227453 0.0012749352 0.001018009 0.001134353 0.0042513995 0.0013185642 0.0010228567 0.0010131614 0.0012313062 0.0014979276 0.0010228567 0.001134353 0.001047095 0.0013428024 0.0012603921 0.0043435055 0.0013718884 0.0013767361 0.001047095 0.0011828296 0.0044937828 0.0014252127 0.0010713333 0.0013524977 0.0012167632 0.00396054 0.0026904526 0.0017209201 0.006403762 0.0021766003 0.0011392006 0.0019390649 0.0023462686 0.0020263228 0.002079647 0.0015900332 0.0011537436 0.0022929441 0.0010228567 0.0013282595 0.0012700876 0.0024432219 0.001822721 0.0016191192 0.0016869864 0.001507623 0.0010519427 0.0014106696 0.0041011223 0.0017742444 0.001735463 0.0013234118 0.0014979276 0.0014591464 0.0046052793 0.0013185642 0.0013040211 0.0025207843 0.001463994 0.0016239668 0.0013476501 0.0021281238 0.001895436 0.0015997285 0.0014300604 0.006103207 0.0023511162 0.0015270136 0.0033400392 0.0028940544 0.0017597014 0.0016336621 0.001463994 0.0024577647 0.0046004313 0.0011973726 0.0014252127 0.0016482051 0.0011585912 0.0023414209 0.0019390649 0.0029764646 0.0015706426 0.0012797829 0.0014446033 0.0029813123 0.0017306154 0.0026080422 0.01994813 0.25487792 0.0 0.0 0.0 0.0 0.0 8.056641e-05 4.1503907e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008320313 0.0004296875 0.00041259767 0.00033935547 0.00016845703 3.6621095e-05 4.3945314e-05 4.1503907e-05 2.9296874e-05 7.3242186e-06 4.8828124e-06 7.3242186e-06 1.953125e-05 6.591797e-05 1.7089844e-05 5.6152345e-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 0.0147900395 0.00052001956 0.000534668 0.00044433595 0.00061279297 0.00028320312 0.0011206055 0.0005566406 0.00017089843 9.521484e-05 0.00013916015 9.2773436e-05 0.00012207031 0.00025634764 0.00012451172 0.00013671875 0.02619629 0.020046387 0.02034912 0.021477051 9.2773436e-05 4.6386718e-05 0.0011889648 0.0005541992 1.4648437e-05 0.0 2.4414062e-06 4.8828124e-06 4.8828124e-06 4.8828124e-06 4.8828124e-06 1.2207031e-05 0.006193848 0.00033935547 0.00034423827 0.0010839844 0.00021240234 0.00016601563 0.0005053711 0.0003149414 0.00021728515 0.00012695312 0.00011230469 7.080078e-05 7.8125e-05 8.544922e-05 7.324219e-05 7.5683594e-05 0.009677734 0.00035888673 0.00079833984 0.00040527343 0.0011352539 0.0007446289 0.0030273437 0.0016357421 0.0005395508 0.00012451172 0.0002783203 0.00016357422 0.0001977539 0.00020263671 0.0003149414 0.0003955078 0.00578125 0.000107421874 0.0007861328 0.00088134763 0.0004394531 0.0002709961 0.003203125 0.0015795898 0.00011230469 7.324219e-05 6.1035156e-05 5.859375e-05 9.521484e-05 0.00014404296 0.00041259767 0.0009936524 0.009616699 0.0005493164 0.0006420899 0.002746582 0.0013085938 0.00080078124 0.0023413086 0.0015039062 0.00082763674 0.00037353515 0.00041015624 0.00037109375 0.0006542969 0.0005273438 0.0010058593 0.0013208007 0.004963379 0.00069091795 0.0005517578 0.0021972656 0.000546875 0.0004345703 0.0007373047 0.00083007815 0.0009643555 0.0002661133 0.00030517578 0.0003125 0.00070068357 0.0003955078 0.00047851563 0.000625 0.016843261 0.0022167969 0.002788086 0.0024804687 0.004633789 0.0054394533 0.00612793 0.004782715 0.01015625 0.001694336 0.0028564453 0.003347168 0.005012207 0.0038793946 0.003869629 0.00887207 0.036096193 0.0063476562 0.004584961 0.007678223 0.013215332 0.013112793 0.00822998 0.0119018555 0.023625487 0.0028613282 0.0037280275 0.0038623046 0.012954102 0.0072631836 0.012446289 0.022092285 0.014189453 0.01486084 0.016906738 0.013977051 0.014594726 0.018762207 0.021796875 0.014602051 0.016936036 0.01772705 0.01658203 0.017780762 0.0152954105 0.01774414 0.016364746 0.016879883 1496.0 7.470588 11176.0 0.028990695 0.00456335 0.0067108087 0.008858268 0.0066213314 0.0054581244 0.0056370795 0.0077845384 0.007158196 0.00805297 0.007068719 0.05619184 0.0068002865 0.008858268 0.0076055834 0.006352899 0.01225841 0.010379384 0.013063708 0.009753042 0.008321403 0.010379384 0.010737294 0.01020043 0.011005727 0.009216177 0.010647817 0.008500358 0.00876879 0.008679313 0.009753042 0.009931997 0.003131711 0.007158196 0.002594846 0.006352899 0.0042949175 0.0036685755 0.005189692 0.0064423764 0.004742305 0.0044738725 0.0026843236 0.002773801 0.004026485 0.005010737 0.004026485 0.0032211882 0.009037223 0.0030422334 0.005100215 0.012526844 0.00420544 0.0034001432 0.012079456 0.05726557 0.0030422334 0.0034896205 0.0024158913 0.002773801 0.048586257 0.002952756 0.0034001432 0.0036685755 0.0032211882 0.02138511 0.005547602 0.012705798 0.0114531135 0.03623837 0.0066213314 0.0064423764 0.007247674 0.021474589 0.04778096 0.004384395 0.018700788 0.0079634935 0.020221904 0.02353257 0.0076055834 0.001789549 0.020042948 0.011363637 0.027827488 0.010468862 0.004115963 0.002773801 0.0048317825 0.005189692 0.003131711 0.0011632069 0.0024158913 0.046617754 0.0022369362 0.0024158913 5.9966793 0.0 0.0 0.0 6.0 206285.0 233472.0 0.0 0.0 85.0 1.0 1.0 0.0 0.0 0.0 1505895000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 48128.0 1024.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112640.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.602694 0.0 0.0 5.953256 0.0 0.0 0.0 0.0 0.0 5.440993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.43731672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.496103 0.0 3.337858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4230.0 0.0 0.0 21308.0 0.0 0.0 0.0 0.0 0.0 8584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113280.0 0.0 2456.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 59772.0 2456.0 155648.0 0.0 0.0 0.0 0.0 2392.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 58712.0 0.0 0.0 360.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.2587484 0.00955294 0.013713324 0.0024788356 0.006588484 0.0037182535 0.005834686 0.0038342224 0.0038052301 0.0044575552 0.005276586 0.0038559665 0.0046025165 0.006842166 0.0021599212 0.0014423635 0.0021961615 0.0014278673 0.00073930185 0.0009639916 0.0011669373 0.0005508524 0.0018844949 0.0014133712 0.0007682941 0.002515076 0.0054287952 0.001137945 0.0016743013 0.002000464 0.0003913951 0.002377363 0.011053287 0.0011162008 0.0010509683 0.00039864317 0.00047112373 0.0084367385 0.0017105415 0.0009639916 0.0077554216 0.0018410066 0.003268874 0.00086251885 0.0020874406 0.0024715876 0.0061463527 0.005791198 0.01429317 0.0048489505 0.001645309 0.00086251885 0.0024498433 0.0012756581 0.0019569756 0.0021744173 0.0008987591 0.0015293402 0.0049794153 0.0016960455 0.0009784878 0.001137945 0.0014786037 0.0006813174 0.0025730603 0.0018699989 0.0010219761 0.0014351154 0.0017540299 0.0008407747 0.0006378291 0.00047112373 0.0024425953 0.002370115 0.00057259656 0.00060158875 0.0018265105 0.0026093007 0.019787198 0.011256234 0.003007944 0.007690189 0.011248985 0.010248753 0.010458947 0.0034935637 0.005921663 0.004732982 0.0013553868 0.0053635626 0.00026817812 0.0059579033 0.0030514323 0.0022903862 0.003906703 0.0040806565 0.007458251 0.0076177083 0.009400731 0.009763134 0.0036892614 0.02805723 0.0036747651 0.011495419 0.005066392 0.008697669 0.0006958135 0.004008176 0.0053925547 0.0084222425 0.0069653834 0.006842166 0.0033558507 0.0010147281 0.009219529 0.00526209 0.007139337 0.0066102287 0.011589644 0.0075017395 0.0035153078 0.0037689898 0.00399368 0.0038559665 0.0018699989 0.0010437203 0.0038414705 0.003783486 0.0056389887 0.0038052301 0.0013988751 0.0004131393 0.0072480575 0.00092775136 0.0010654645 0.002130929 0.003660269 0.00429085 0.0001522092 0.018294098 0.0017902702 0.0023411226 0.00080453436 0.008291778 0.00474023 0.0029572074 0.0005581004 0.0009712397 0.00079003826 0.002623797 0.0020801926 0.0033775948 0.0024860837 0.00044937956 0.0019207352 0.00042038734 0.00043488346 0.0001377131 0.0006885655 0.0011017048 0.0018844949 0.0033413544 0.00021019367 0.00014496114 0.0010582164 0.0026745333 0.00036240288 0.0015365882 0.0072770496 0.0002754262 0.000108720866 0.0010654645 0.00011596892 0.00029717037 0.0019424794 0.0001377131 0.00250058 0.0001522092 0.00024643395 0.00011596892 0.00020294561 0.00021019367 0.00035515483 0.00026093007 0.0018699989 0.000500116 0.0012756581 0.0002899223 0.00012321697 0.00014496114 0.0022324016 0.001377131 0.001261162 0.0012829062 0.0005798446 0.00020294561 0.0006813174 0.0014641077 0.0022396499 0.0008552708 0.00077554217 0.00014496114 0.00020294561 0.0010654645 0.00025368202 0.0015510843 0.00052186014 0.0012176736 0.0007682941 0.0015510843 0.00072480575 0.00033341066 0.00022468978 0.0018699989 0.0012249217 0.00039864317 0.001123449 0.0006160849 0.000101472804 0.00060158875 0.0018120144 0.002623797 0.0022251536 0.0005508524 0.0023193783 0.0005581004 0.00022468978 0.0007465499 0.00019569755 0.0039864318 0.00048561985 0.00044937956 0.000884263 0.00059434073 0.0010437203 0.00026093007 0.00044937956 0.0008915111 0.001638061 0.0028484866 0.00079728634 0.00022468978 0.002000464 0.0013988751 0.0016670532 9.422475e-05 0.003783486 0.0037327497 0.0006668213 0.0005653485 0.0014930998 0.0028049983 0.00031891454 0.0014568595 0.00042038734 0.00604488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034510102 0.000121152494 0.0016557507 9.9124765e-05 9.9124765e-05 9.9124765e-05 9.545348e-05 9.545348e-05 0.000121152494 9.545348e-05 9.545348e-05 9.9124765e-05 0.00010279605 9.9124765e-05 0.00010279605 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0065642623 4.772674e-05 0.00019824953 5.8740603e-05 2.2027725e-05 2.2027725e-05 5.1398027e-05 6.608318e-05 6.608318e-05 5.8740603e-05 7.342575e-05 5.1398027e-05 6.608318e-05 4.772674e-05 7.709704e-05 4.772674e-05 0.018745594 0.00021660597 0.00019457824 0.00021293468 0.00026433272 0.0002055921 0.00026433272 0.00019824953 0.00020192082 0.00025331884 0.00025331884 0.00028636045 0.00030471687 0.00031940202 0.000293703 0.00034142975 0.005433506 4.772674e-05 8.0768325e-05 0.00016887923 0.00015419407 0.00017989309 0.0007379288 0.00028636045 2.9370301e-05 3.304159e-05 4.772674e-05 6.975447e-05 5.5069315e-05 6.975447e-05 6.975447e-05 5.5069315e-05 0.010643063 0.00088110904 0.0003818139 0.00014318022 0.0002055921 0.00016520794 0.00025699014 0.00022761984 0.001097715 0.00013216636 0.00014318022 0.00018356438 0.00017255051 0.00012482378 0.00014318022 0.00013583765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042550224 0.0007342575 0.000121152494 0.000117481206 0.000117481206 0.000117481206 9.9124765e-05 0.000117481206 0.0010426457 0.000117481206 0.000117481206 0.00011380992 0.00011380992 0.000117481206 0.00011380992 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018114133 0.000804012 0.002514832 0.0016043527 0.0020595924 0.002731438 0.0076289354 0.004365161 0.0017144913 0.00081135455 0.00055069313 0.00033408718 0.00036345748 0.0003524436 0.00045891094 0.0007048872 0.049334764 0.0027754933 0.009626116 0.006611989 0.008139244 0.01055128 0.021040149 0.011942699 0.007276492 0.002973743 0.00256623 0.0011968397 0.0015162418 0.0019641388 0.0019237547 0.0034179688 0.13639201 0.011828888 0.02622768 0.02013334 0.027013334 0.044617157 0.06671831 0.040303394 0.031837407 0.013987605 0.010874354 0.005833676 0.006791882 0.008102532 0.008814761 0.014207883 0.05271969 0.00875235 0.014307008 0.013433241 0.014130786 0.024928043 0.030945282 0.019909393 0.019167792 0.0073058624 0.0076766624 0.0034803806 0.0046515213 0.005426163 0.0054702186 0.00829711 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1306.0 7.159265 9350.0 0.019679144 0.0043850266 0.0009625668 0.00042780748 0.00085561496 0.0039572194 0.006737968 0.005882353 0.04053476 0.0022459894 0.009304813 0.0010695187 0.011764706 0.00802139 0.008877005 0.015828878 0.02962567 0.009839572 0.004171123 0.0016042781 0.00855615 0.005026738 0.0045989305 0.009197861 0.0021390375 0.0036363637 0.017005347 0.005668449 0.0021390375 0.00085561496 0.007593583 0.00032085562 0.0053475937 0.0032085562 0.0009625668 0.004491979 0.00042780748 0.00085561496 0.0012834225 0.0016042781 0.009946524 0.0035294117 0.00021390374 0.0019251336 0.0011764705 0.007165775 0.036256686 0.04053476 0.0078074867 0.01657754 0.021818181 0.02224599 0.017433155 0.014117647 0.0064171124 0.026417112 0.00513369 0.008235294 0.0011764705 0.012085562 0.010802139 0.002566845 0.008342246 0.012192514 0.008663102 0.009304813 0.02855615 0.022887701 0.0063101603 0.03465241 0.015721925 0.032620322 0.010481283 0.012192514 0.0032085562 0.017326204 0.0064171124 0.011550802 0.015080214 0.010374332 0.0119786095 0.0043850266 0.021497326 0.01486631 0.015187166 0.035828877 0.021497326 0.005026738 0.005668449 0.012085562 0.005775401 0.010695187 0.0021390375 0.0022459894 0.0028877005 0.018074866 6.025823 0.0 19.0 0.0 1.0 137968.0 139264.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1542113000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 14.0 11.0 5.0 1.0 5.0 1.0 0.0 512.0 4096.0 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 0.0 512.0 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 130560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3604965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0935717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130432.0 8192.0 0.0 0.0 6384.0 131584.0 0.0 0.0 28.0 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


Input: 0.15555288 0.008968866 0.0043559573 0.0037963288 0.008583116 0.0025270218 0.002447811 0.0023447725 0.0090648215 0.002070432 0.003114342 0.0013066584 0.006503024 0.0010542137 0.0012171436 0.008171606 0.0060502985 0.0011224769 0.00075926573 0.0010123543 0.0042374628 0.0052646287 0.0006446353 0.000667819 0.0042741704 0.00070581445 0.00077343354 0.0009485992 0.0021019876 0.000593116 0.00071740634 0.0012905586 0.021467451 0.0012042638 0.0008951479 0.0005248529 0.0018753026 0.0047854995 0.000960835 0.0012396832 0.0025553575 0.0014940598 0.0014708762 0.0012783228 0.0015661869 0.002445235 0.0031375256 0.0005692883 0.0049741887 0.0026899516 0.0029443281 0.007573982 0.003180673 0.0031194938 0.0025089902 0.0022823052 0.0033493987 0.002672564 0.00518091 0.0035831677 0.002669988 0.002445879 0.0019712574 0.0020150489 0.0041086646 0.0036675304 0.002961072 0.003492365 0.004377209 0.015806122 0.004558814 0.0027569267 0.002733099 0.005567305 0.00080563314 0.0020356565 0.00472432 0.0067619085 0.009003642 0.003926415 0.012479908 0.003702306 0.0039341426 0.00934045 0.0048453906 0.0052227695 0.0072255824 0.0061977725 0.0026345684 0.0007193383 0.000444354 0.002820682 0.0010065584 0.0066144345 0.0038059887 0.007197247 0.00085071253 0.0079719685 0.0024864504 0.004875658 0.0069892374 0.013657124 0.00414344 0.0028348498 0.010742419 0.010601385 0.0067039495 0.0020343685 0.005951768 0.0031214259 0.007819986 0.008601792 0.0046914765 0.00067812286 0.00886776 0.01099744 0.015109968 0.013851609 0.0027788226 0.0023872757 0.0021895703 0.0021947224 0.00064012734 0.0004527259 0.0026390764 0.0025534255 0.0010123543 0.000888064 0.00267192 0.0011244088 0.00058345613 0.016358668 0.0045671863 0.0087660095 0.00070645846 0.00066395506 0.0018057516 0.010489974 0.0015855066 0.031361733 0.000741878 0.005346416 0.0004804175 0.00043211816 0.001033606 0.000295592 0.00031362378 0.0003413154 0.00083268073 0.0006169437 0.00030911583 0.00033616347 0.00093700737 0.00039476666 0.000296236 0.00029044008 0.0007489619 0.00046431774 0.00041086646 0.00031877568 0.0010658056 0.0015919465 0.00032006367 0.00078760134 0.00091382366 0.0003322995 0.00032006367 0.00035290723 0.00087132026 0.0003252156 0.0005139051 0.00032843556 0.0014161369 0.00031426776 0.00028915209 0.00033101154 0.0013407898 0.00044692997 0.0003252156 0.00040378256 0.0012538511 0.00085328845 0.0010194383 0.0007669936 0.0021258153 0.0007534698 0.00048556944 0.00047977353 0.0010844814 0.00051326107 0.00085715245 0.0005557645 0.007789719 0.003623095 0.0011514565 0.007474163 0.011949902 0.0021077835 0.002293253 0.004290914 0.0020833118 0.0014438285 0.00081014103 0.0006472113 0.01991028 0.0024053075 0.0016428218 0.00064592325 0.0027124914 0.00070001854 0.0014476924 0.00059762393 0.0013536697 0.00043855808 0.001266731 0.00092799147 0.002591421 0.0004231023 0.0003851068 0.0017085089 0.0014715202 0.00035805916 0.00036836302 0.00039090271 0.0019532256 0.00061243575 0.0003992746 0.00035355124 0.001702713 0.0029726638 0.00039476666 0.00043211816 0.016298132 0.0019493616 0.00037609093 0.0027691626 0.005362516 0.00036643105 0.00053258083 0.0004945853 0.0036346868 0.0005828121 0.0008384767 0.0011327807 0.0032006367 0.00088548806 0.002213398 0.0016125542 0.0058107334 0.0017806359 0.0013150303 0.0015771347 0.0055016177 0.0015075837 0.003036419 0.042351443 0.022429675 0.0 0.0 0.0 4.189872e-06 1.9337872e-06 0.0 3.2229786e-07 0.0 1.2891915e-06 0.0 0.0 0.0 3.2229786e-07 6.4459573e-07 3.8675744e-06 0.0012437474 6.4459573e-07 6.768255e-06 2.578383e-06 1.4503404e-05 8.379744e-06 1.4825701e-05 1.0958127e-05 6.4459573e-07 0.0 6.4459573e-07 6.4459573e-07 3.2229786e-07 6.4459573e-07 2.256085e-06 1.2569616e-05 0.001829685 2.578383e-06 5.8013616e-06 1.643719e-05 1.643719e-05 2.6428424e-05 9.346638e-06 4.8344677e-06 9.668936e-07 4.51217e-06 6.123659e-06 3.2229786e-06 3.8675744e-06 5.8013616e-06 9.02434e-06 3.5130466e-05 0.0063837534 3.8031147e-05 5.8980506e-05 2.9651403e-05 6.929404e-05 0.00014696782 1.8693276e-05 1.4503404e-05 1.7726383e-05 7.896298e-05 2.0304766e-05 3.577506e-05 4.9311573e-05 3.4808167e-05 1.9015573e-05 0.00024494636 0.011977233 5.8013615e-05 6.736025e-05 6.639336e-05 8.605353e-05 0.00059012737 7.026093e-05 6.768255e-05 6.607106e-05 0.00016211582 0.00024301259 0.00017307395 9.2177186e-05 5.156766e-05 6.381497e-05 0.00068649446 0.0062854527 5.833591e-05 9.604476e-05 8.734272e-05 0.00017790841 0.0002533261 0.00025010313 0.00010442451 4.3832508e-05 2.8039913e-05 3.126289e-05 0.00010442451 9.830084e-05 4.0287232e-05 4.5443998e-05 0.00021626186 0.0014113423 7.4128507e-06 0.00030714986 1.5470298e-05 4.9311573e-05 8.089676e-05 0.0009430435 0.00039513718 1.4181106e-05 1.5147999e-05 2.578383e-06 5.4790635e-06 2.6428424e-05 3.5452765e-06 3.5452765e-06 1.9660169e-05 0.0053069564 6.188119e-05 0.0009243502 0.00015341378 0.00041221894 0.00021400578 0.0015212459 0.0007760932 7.638459e-05 6.510417e-05 4.8666978e-05 6.639336e-05 0.000117638716 5.253455e-05 5.124536e-05 5.285685e-05 0.0071672597 0.00014213336 0.0039381576 0.0006181673 0.0019727852 0.0011377115 0.010226511 0.004956296 7.7351484e-05 0.00011892791 7.5417694e-05 6.381497e-05 8.5731226e-05 0.00013020834 8.3152845e-05 0.00022947608 0.014554971 0.000330033 0.01981036 0.0041157436 0.020262543 0.012089714 0.045888122 0.022800962 0.00015276918 5.575753e-05 6.5426466e-05 5.414604e-05 0.0003941703 5.156766e-05 0.00010216842 0.0005256678 0.009112327 0.0002243193 0.007967847 0.0039220424 0.007883405 0.0037702403 0.015166048 0.0075839907 0.00013214212 0.00010087923 0.00010958127 6.188119e-05 0.000113126545 0.00020079156 7.8640674e-05 0.00033841273 0.011185992 0.0021139516 0.0020366001 0.023489712 0.0031949386 0.0032049299 0.0029309767 0.002554855 0.0025210138 0.001729128 0.0019711736 0.002024675 0.0028471793 0.0025474422 0.0019399108 0.0030144518 0.0065104165 0.0012385907 0.0009755956 0.0010448897 0.0014741904 0.0013394699 0.000868915 0.001002024 0.0029980147 0.0004808684 0.00031069512 0.00064781867 0.0016643461 0.00080800074 0.00085699 0.0035217486 0.059669256 0.0121106645 0.0048915143 0.009130376 0.019870952 0.025586905 0.009100402 0.014102787 0.039111488 0.0021378016 0.003265522 0.004926645 0.03194423 0.0054075136 0.014666164 0.031866554 0.055489056 0.014590101 0.0061703925 0.010228445 0.02168291 0.029623363 0.012075534 0.017368631 0.042371534 0.0028594267 0.0037786202 0.0050017405 0.032774147 0.0077158106 0.018966906 0.03613507 0.00041640882 0.00016630569 0.00020143615 0.0002397896 0.00013310902 0.00015631446 0.00031907487 0.00020917131 0.00014729012 8.347514e-05 0.000110548164 8.3152845e-05 9.378867e-05 7.50954e-05 8.7020424e-05 0.000118283315 13583.0 25.57756 347420.0 0.085792415 0.0029416843 0.001836394 0.00057855045 0.0012981406 0.01859421 0.0024178228 0.0038224626 0.005379656 0.004838524 0.0046773357 0.00042599736 0.0022220942 0.009251051 0.012224397 0.0011139255 0.008442231 0.0066662827 0.006211502 0.0046197684 0.006076219 0.0050659142 0.0052990615 0.0040297047 0.0057077887 0.00509182 0.016409533 0.0032237638 0.0037908007 0.003969259 0.0031115077 0.0028524552 0.00726786 0.008119855 0.008827931 0.010203788 0.0127108395 0.014774624 0.0075873584 0.0033791952 0.0032439122 0.022390766 0.0011196822 0.0055235736 0.013156986 0.0060388003 0.009210753 0.008951701 0.009895803 0.0010419665 0.0079010995 0.016919004 0.010609637 0.0038109494 0.007288009 0.0032928444 0.003753382 0.0014996259 0.0006274826 0.0008347245 0.0018594209 0.00079154916 0.0004576593 0.018916585 0.00078291405 0.03388694 0.009786426 0.020413332 0.027946003 0.05830119 0.0119221695 0.011317713 0.012385585 0.045216165 0.0021127167 0.0076938574 0.02377238 0.012448909 0.032698177 0.034920268 0.013726901 0.0008606298 0.03502101 0.043745324 0.041054055 0.013231823 0.005699154 0.004432675 0.005405561 0.0075816014 0.0014996259 0.00030798456 0.0008001842 0.00036843013 0.00034540327 0.00032525475 5.737501 0.0 39.0 0.0 3.0 1552816.0 1716224.0 1.0 0.0 297.0 1.0 1.0 1.0 1.0 0.0 1542792600.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 960512.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -71168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 396288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -960512.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.776585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.635637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.267052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.553011 0.0 4.219317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37.0 0.0 0.0 -70808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 395974.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -262024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -960211.0 0.0 11048.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 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 1.0 -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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 -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 -1.0 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 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 -1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 1355348.0 11048.0 1630208.0 0.0 0.0 15792.0 1537024.0 70808.0 1642496.0 84.0 1354160.0 0.0 0.0 0.0 0.0 24.0 1354340.0 64.0 1354248.0 0.0 0.0 1356.0 966656.0 0.0 0.0 0.0 0.0


Input: 0.05780588 0.003838571 0.003568591 0.0038746174 0.0034045433 0.003497234 0.003476636 0.0037708923 0.0036399483 0.0034185206 0.0035391655 0.0034560382 0.003546522 0.0035215102 0.0036046375 0.0038503413 0.0035384297 0.0036009592 0.003691443 0.003353784 0.0035347517 0.0035560853 0.0035325447 0.0034016008 0.0035553495 0.0036428908 0.0034641302 0.0035715336 0.003568591 0.0035082686 0.0034714865 0.00380841 0.0036517184 0.0034884063 0.0034656015 0.0035722693 0.003554614 0.0035170964 0.0034457392 0.0034964983 0.0035752119 0.003552407 0.0035700623 0.0035671198 0.0035472575 0.0034369114 0.0034979696 0.003520039 0.0034641302 0.0034486817 0.0036605462 0.0035001766 0.0034486817 0.0034104285 0.0034001295 0.0034516242 0.0035310735 0.003536223 0.0034670727 0.003419256 0.0034670727 0.0034817855 0.0037311676 0.003689236 0.0033854167 0.0034354401 0.0034692797 0.0034648657 0.0034759005 0.0035082686 0.003623764 0.0035369585 0.003576683 0.0035656486 0.0035222457 0.0034854638 0.003476636 0.0034177848 0.00507224 0.003536223 0.0034302906 0.0036068445 0.0036134652 0.0035229814 0.003427348 0.0035273952 0.003667167 0.005159781 0.0035928672 0.0035126824 0.0035119469 0.003917285 0.0034457392 0.0033993938 0.0034082215 0.0036414196 0.0034472104 0.0036355343 0.0034898776 0.0036222928 0.0036274423 0.0035847751 0.0035825684 0.0035310735 0.003528131 0.0034751648 0.003429555 0.0034633945 0.0036634887 0.0035023834 0.003442061 0.003484728 0.0033427496 0.0034332334 0.0035097399 0.0034472104 0.0035428437 0.0035075329 0.0034302906 0.0035141537 0.0034678085 0.0035354872 0.0034082215 0.003403072 0.003881974 0.0034854638 0.0037319032 0.0035075329 0.00357889 0.0034126353 0.0033618761 0.0036598104 0.0034413254 0.0035097399 0.0034656015 0.003599488 0.003468544 0.0035354872 0.0035251884 0.0036524541 0.003591396 0.0035781544 0.003405279 0.003470751 0.003552407 0.0051921494 0.003560499 0.0036061087 0.0035781544 0.0035722693 0.0036450976 0.003536223 0.0034199918 0.003450153 0.0034001295 0.0051546316 0.0068304203 0.0036576036 0.006762006 0.0039952626 0.0035479933 0.0053473692 0.0037995821 0.0055231876 0.0037208686 0.0036980638 0.0037024776 0.0034825213 0.00357889 0.003689236 0.0053164726 0.005335599 0.0039562737 0.0035553495 0.003462659 0.003585511 0.0036715807 0.0037767773 0.0037149836 0.003615672 0.0035869821 0.0037782486 0.0035671198 0.0035987524 0.0035906604 0.0036487759 0.0034964983 0.003517832 0.0051590456 0.0035965454 0.0035906604 0.003576683 0.003812088 0.003783398 0.0035818326 0.0037657428 0.0035656486 0.0036267068 0.0037282251 0.003634063 0.0037289606 0.0036274423 0.0035288665 0.005168609 0.003720133 0.003542108 0.0035987524 0.0036737877 0.003583304 0.0034832568 0.0037208686 0.003431762 0.0034597164 0.0034589807 0.0034589807 0.003413371 0.003681144 0.0035494645 0.003468544 0.003625971 0.0036576036 0.003560499 0.0034987053 0.003617879 0.0034979696 0.0035987524 0.0035406367 0.0036090512 0.0036171433 0.0035928672 0.0033574624 0.0035891891 0.003675259 0.003450153 0.0034994408 0.0034832568 0.003381003 0.0033832097 0.0034817855 0.0035185677 0.0037422022 0.0036222928 0.0034332334 0.0035450505 0.003523717 0.0034244056 0.0033913017 0.003677466 0.004098252 0.0036134652 0.003466337 0.0035222457 0.003812088 0.0035023834 0.0035921317 0.015266008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025386207 1.2151796e-05 1.7307104e-05 1.0310615e-05 9.5741425e-06 1.5465923e-05 3.3877735e-05 1.47294495e-05 2.94589e-06 7.2174305e-05 2.9827135e-05 1.5465923e-05 8.653552e-05 3.719186e-05 2.3935356e-05 9.6477896e-05 0.0074751955 0.00010862969 9.721437e-05 2.5776537e-05 1.0310615e-05 9.316377e-05 1.9148285e-05 3.3141263e-05 2.1357702e-05 0.000420894 0.00012299091 3.35095e-05 0.0005383614 9.537319e-05 7.548843e-05 0.00063336635 0.005279771 0.00012483209 0.00010200144 3.5718916e-05 2.6881246e-05 6.775547e-05 2.062123e-05 2.5040064e-05 6.0022507e-05 0.00030968667 7.438372e-05 5.2657782e-05 0.00041831637 7.10696e-05 6.665076e-05 0.0008060691 0.013644993 0.000102369675 0.00014140272 0.0001097344 7.8066085e-05 0.0001727028 0.00012961916 9.205906e-05 3.5718916e-05 0.003784732 0.00049196364 0.00034393265 0.0011577348 0.00027249483 0.00022020527 0.0018467047 0.008206513 0.00015244981 9.795084e-05 3.0931846e-05 9.721437e-05 9.0586116e-05 7.659314e-05 7.364725e-05 0.00010678851 0.0020724335 0.00060648506 0.00029311606 0.00055456377 0.00025666066 0.00012556856 0.0014873062 0.0037092436 6.4441345e-05 8.8744935e-05 5.5235436e-05 0.00021099937 8.211668e-05 5.4130727e-05 4.713424e-05 4.9343656e-05 0.0004555082 0.000601698 0.00035387502 0.00015907806 0.00014361214 5.9286034e-05 0.00065288285 0.0036993013 8.948141e-05 6.1495455e-05 6.075898e-05 0.00037854686 0.0002846466 6.3336636e-05 6.7019e-05 3.5718916e-05 0.00082337623 0.0013201269 0.0006127451 0.00021504996 0.000105315565 4.418835e-05 0.0011886666 0.002860459 0.00014618979 8.948141e-05 7.180607e-05 0.00028317366 0.00064920046 0.00013219682 8.653552e-05 0.000107156746 0.0009010741 0.0018599612 0.000536152 0.00023088412 0.00013366976 8.064374e-05 0.0016353371 0.007848956 0.0004963825 0.00043230935 0.0002702854 0.001136377 0.0015801017 0.0005888097 0.00041021517 0.00043783287 0.0026255243 0.005054779 0.0018713765 0.00084620685 0.00045108938 0.00031999729 0.0042873747 0.00034319618 6.7019e-05 5.854956e-05 4.602953e-05 4.602953e-05 0.00010605204 4.5661294e-05 3.7560098e-05 0.00013587918 6.186369e-05 0.00015981453 6.407311e-05 7.475196e-05 5.6340145e-05 3.3877735e-05 0.00017159809 0.00087934814 0.00014655803 0.000103474384 0.00012004501 0.0001310921 0.00012114972 0.00011562618 0.00016791573 0.0001767534 0.00010678851 0.00012520033 0.00014803097 0.0001421392 0.00014398037 0.00017049338 0.00021799585 0.054707754 0.055331547 0.055220705 0.05532676 0.055197507 0.055162523 0.055273365 0.05514301 0.0551327 0.055303928 0.05485505 0.05519493 0.055698678 0.05495226 0.05510692 0.05625361 5714.0 5.677459 32441.0 0.011960174 0.010757991 0.010110662 0.010388089 0.011035418 0.011158719 0.010881293 0.00890848 0.010233963 0.010665515 0.010942942 0.010388089 0.010295614 0.010110662 0.009894886 0.01134367 0.010203138 0.010172313 0.011312845 0.010295614 0.009956537 0.009278382 0.010326439 0.010973767 0.0106346905 0.010696341 0.011066243 0.010573041 0.010079837 0.009494158 0.010018187 0.009956537 0.00890848 0.011312845 0.010110662 0.008877655 0.011189544 0.010295614 0.010912118 0.010665515 0.010881293 0.011744398 0.010388089 0.01051139 0.0094633335 0.009340033 0.010172313 0.011158719 0.009062606 0.010573041 0.010542215 0.010418914 0.009771585 0.010973767 0.011621097 0.009771585 0.010418914 0.010542215 0.010727166 0.010388089 0.009278382 0.0094633335 0.009740761 0.009987362 0.009771585 0.010418914 0.010079837 0.010079837 0.01134367 0.011836873 0.009925711 0.010110662 0.010881293 0.010141487 0.010850467 0.010172313 0.011960174 0.010449739 0.009894886 0.010480565 0.010603866 0.010326439 0.011066243 0.011004593 0.011158719 0.009740761 0.00980241 0.009925711 0.010881293 0.011282019 0.010912118 0.010449739 0.010696341 0.009956537 0.0100490125 0.010418914 6.5820494 0.0 0.0 0.0 18.0 1359360.0 14417920.0 0.0 0.0 9.0 1.0 1.0 0.0 0.0 0.0 1539311600.0 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 3.0 99.0 4.0 0.0 4.0 0.0 11481088.0 1024.0 4096.0 8.0 2.0 0.0 3.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 145920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -205312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -922624.0 -10240.0 51200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9628377 0.0 4.1319823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999487 -7.8903975 7.5965548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -417792.0 0.0 0.0 -61440.0 0.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1220608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11481088.0 -36864.0 1048576.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 468.0 14270472.0 1047336.0 12800000.0 0.0 0.0 0.0 0.0 8.0 14270384.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.011606142 0.008824892 0.007680708 0.010291796 0.009558344 0.0071878284 0.0074107978 0.0075809583 0.0101099005 0.0064367736 0.006736022 0.0071350196 0.008607791 0.0052808532 0.0056446455 0.006548258 0.008895304 0.0059967022 0.0048407824 0.0050344137 0.006724287 0.005515558 0.0046119452 0.0049581346 0.0062079364 0.005057884 0.003673127 0.004582607 0.005274986 0.0040662573 0.0036789945 0.0041131983 0.008572585 0.0048994585 0.0048173117 0.0045943423 0.006090584 0.003825685 0.0034208195 0.0035968479 0.005298456 0.0032330558 0.0041366685 0.0048701204 0.0054803523 0.0037142 0.003368011 0.003684862 0.005938026 0.003045292 0.0037142 0.0038667582 0.004283359 0.0031274387 0.0032858644 0.003379746 0.0048055765 0.0027988523 0.0030511597 0.005409941 0.0041484036 0.0029455426 0.0024643983 0.0026991027 0.007387327 0.005891085 0.004647151 0.004981605 0.005803071 0.0050637517 0.004694092 0.0041718744 0.005456882 0.0033621434 0.0029220723 0.003855023 0.003655524 0.003397349 0.0027519113 0.003015954 0.007299313 0.004430049 0.0036672594 0.0040721246 0.005914556 0.0050168107 0.0042305505 0.003808082 0.0055859694 0.003761141 0.0033328054 0.0036789945 0.0040251836 0.0031978502 0.0028457933 0.0032037178 0.005943894 0.0040721246 0.003350408 0.0031861148 0.0049874727 0.0032389234 0.0038843611 0.003303467 0.0048231794 0.0022766346 0.0033562756 0.0032389234 0.004664754 0.0033562756 0.0027871171 0.003291732 0.00472343 0.0019891215 0.0035909803 0.0033856137 0.005292589 0.0055801016 0.003291732 0.003215453 0.0040662573 0.0017837549 0.0023587812 0.0035792452 0.0032858644 0.003274129 0.0027049705 0.0029455426 0.0074284 0.0042070798 0.0046119452 0.005803071 0.0047469004 0.003414952 0.0029807484 0.0032858644 0.0062490096 0.004541534 0.0053395294 0.0054275435 0.0039547724 0.0038022145 0.0025172068 0.0024820012 0.00523978 0.0027343086 0.0030511597 0.0031450416 0.0024761334 0.0019773862 0.0024820012 0.002452663 0.0031626443 0.0018541663 0.002329443 0.0025230744 0.0028164552 0.0022120909 0.0021827528 0.0019245776 0.005028546 0.002622824 0.003913699 0.0028692638 0.0031450416 0.0016429322 0.0017954902 0.001842431 0.0046999594 0.0021710175 0.0037963467 0.002587618 0.0037142 0.0019069748 0.002241429 0.0023235756 0.0057678656 0.0029514104 0.0032682614 0.0031567768 0.0027871171 0.0025172068 0.0031274387 0.002986616 0.0037376706 0.00255828 0.0030511597 0.0032037178 0.002605221 0.0022120909 0.0025700154 0.0025113393 0.0055801016 0.0039254343 0.0036613918 0.0042129476 0.003291732 0.0027929847 0.0035733774 0.0030863655 0.0049463995 0.0031567768 0.0022472965 0.0028516608 0.002939675 0.0021006062 0.00216515 0.0025641478 0.004406579 0.003045292 0.0019539157 0.0023822517 0.0033738785 0.0026697647 0.002880999 0.0027460437 0.005122428 0.0029279399 0.002376384 0.0037142 0.0030863655 0.0026169561 0.0022355614 0.0027460437 0.0047116945 0.002452663 0.002376384 0.002176885 0.0039019638 0.0014140952 0.0017250788 0.001994989 0.0045767394 0.0021123413 0.002634559 0.005908688 0.0048525175 0.00255828 0.0023411782 0.0023939868 0.004629548 0.002147547 0.0019363129 0.0019421806 0.0035851127 0.0018541663 0.0034912308 0.0028575284 0.004312697 0.001689873 0.0021299443 0.0030981007 0.0026991027 0.001994989 0.002194488 0.0048583853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022934421 0.00024266099 0.0003758286 0.00024562026 0.00023970171 0.00031072443 0.00059777463 0.00043205492 0.00029592804 0.00011541193 6.806345e-05 0.00015980113 0.00020714963 0.00013316762 0.00013908617 0.00020419034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12299953 0.0831617 0.073209636 0.058783144 0.070901394 0.067823745 0.059025805 0.054592803 0.070712 0.042545572 0.04629498 0.04901752 0.053059895 0.048345763 0.04811198 0.04535393 1079.0 6.067655 6547.0 0.026577057 0.011150145 0.011913854 0.0096227275 0.014204979 0.008095311 0.0058041853 0.008095311 0.010997403 0.0061096684 0.010080953 0.011150145 0.013746754 0.008553536 0.00885902 0.007484344 0.014663205 0.0077898274 0.009317244 0.008706277 0.010844662 0.0056514433 0.007942569 0.008553536 0.012983046 0.009011761 0.008095311 0.013288529 0.010844662 0.00534596 0.00442951 0.0054987017 0.01603788 0.015274172 0.011761112 0.013746754 0.014052237 0.014663205 0.013746754 0.008706277 0.013594013 0.009164503 0.0070261187 0.008248053 0.011608371 0.009164503 0.008553536 0.009317244 0.018176263 0.0096227275 0.00977547 0.011761112 0.016648848 0.012524821 0.010844662 0.01069192 0.013899496 0.009317244 0.0071788607 0.010233695 0.009011761 0.0073316023 0.00442951 0.0067206356 0.012066595 0.014204979 0.00885902 0.011150145 0.015121429 0.015274172 0.010386436 0.0077898274 0.014357721 0.010844662 0.007942569 0.010997403 0.016343363 0.008095311 0.010844662 0.013135787 0.012372078 0.00442951 0.013594013 0.011455628 0.018634489 0.012066595 0.0071788607 0.006873377 0.011608371 0.0062624104 0.0050404766 0.008706277 0.008095311 0.0062624104 0.0062624104 0.0054987017 6.501087 0.0 0.0 0.0 3.0 170427.0 1490944.0 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 1.0 0.0 4.0 0.0 520192.0 1024.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -518144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.88316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -520192.0 0.0 0.0 0.0 0.0 0.0 954368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 620.0 1489604.0 10904.0 1478656.0 0.0 0.0 0.0 0.0 36.0 1490224.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1489560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06195305 0.0044872668 0.0044550933 0.0038229772 0.004027374 0.003624258 0.0036015473 0.003802159 0.0045270105 0.0034331093 0.0035088118 0.004941482 0.0039024649 0.0038002664 0.0034312166 0.004144713 0.0041863495 0.0032760266 0.0031795057 0.0046878783 0.0038078367 0.0037870186 0.0033517291 0.0033820102 0.0037605227 0.0034936713 0.0033441589 0.0035485555 0.003828655 0.0033706548 0.003404721 0.003304415 0.0044361674 0.0031359768 0.0032154645 0.0032665636 0.007740583 0.0034350017 0.0032817042 0.0030337784 0.0034122912 0.003247638 0.0030810926 0.0032835968 0.0035050267 0.0034122912 0.0033403737 0.0033801175 0.0038986797 0.0037359193 0.0035239523 0.0042374483 0.004010341 0.003671572 0.0035864068 0.0035390928 0.0037832335 0.003482316 0.0035618036 0.0039914153 0.0036431837 0.0034577125 0.0033063076 0.0032949522 0.0044494155 0.004975548 0.0047049117 0.0037472746 0.005425978 0.0045099775 0.0038740765 0.0037908037 0.003590192 0.003512597 0.003364977 0.003317663 0.004428597 0.0037169936 0.003321448 0.003698068 0.004097399 0.00352963 0.0034898862 0.003949779 0.0042639445 0.0035958698 0.0037453822 0.0037945888 0.0033668696 0.0038248699 0.003287382 0.0035655887 0.0034804232 0.0035504482 0.0035655887 0.0035050267 0.0034577125 0.0036791423 0.0033025225 0.0036564318 0.0036185805 0.004122002 0.0036696796 0.0034577125 0.0037832335 0.0038570433 0.0037302417 0.0036129027 0.0035996549 0.0032381753 0.0036393986 0.003698068 0.003378225 0.0033233406 0.003855151 0.003828655 0.0053521683 0.0049433745 0.0035788366 0.0033820102 0.003741597 0.0033365886 0.003317663 0.003425539 0.003741597 0.0033857953 0.0033517291 0.003170043 0.0038381177 0.0037037458 0.0033138779 0.0050947797 0.0039516715 0.003936531 0.0032343902 0.003476638 0.003785126 0.006442284 0.0034141836 0.0075929626 0.003395258 0.0040727956 0.0032381753 0.003274134 0.0036450764 0.0033138779 0.0035693739 0.0035618036 0.003590192 0.003442572 0.0031776133 0.0033725472 0.003516382 0.004759796 0.0035958698 0.0035504482 0.0034917786 0.0031170512 0.0032703488 0.0033082 0.0033630845 0.0034312166 0.003190861 0.0033365886 0.0036053325 0.0034179688 0.0032854893 0.0033555143 0.003368762 0.0032438529 0.0030602743 0.0031984313 0.0035258448 0.0033025225 0.0031984313 0.003442572 0.0034633903 0.003338481 0.0030867702 0.0031719357 0.0033138779 0.0032041091 0.0034955638 0.00352963 0.003425539 0.0034293241 0.0035182745 0.0034898862 0.0034652827 0.0030867702 0.0032041091 0.0033195554 0.0044929446 0.003768093 0.003221142 0.0039876304 0.003624258 0.003338481 0.0034955638 0.0040122336 0.003404721 0.0033025225 0.003187076 0.0032495307 0.004006556 0.0034312166 0.0031511174 0.0033006298 0.0035353077 0.00352963 0.0033933655 0.0034236463 0.0035220596 0.0032627785 0.0035655887 0.0033574067 0.003667787 0.00367725 0.0033933655 0.0037056382 0.0032835968 0.0033063076 0.0032665636 0.0033025225 0.004140928 0.0034274315 0.003230605 0.0031511174 0.0040349443 0.0046102833 0.0035277375 0.0032457456 0.005132631 0.0037737705 0.0033592994 0.0039952006 0.0039081424 0.003187076 0.0031378695 0.0032968447 0.0036923904 0.0032514231 0.0033706548 0.0034122912 0.0032968447 0.0034501422 0.0035864068 0.0033857953 0.003923283 0.0034633903 0.0036431837 0.0035882995 0.0040387292 0.0035485555 0.003875969 0.009845112 0.009708738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037725652 7.5849516e-06 7.5849516e-06 5.6887134e-06 7.5849516e-06 1.2325546e-05 4.7405947e-06 3.7924758e-06 6.6368325e-06 5.6887134e-06 1.8962379e-06 5.6887134e-06 2.8443567e-06 2.8443567e-06 3.7924758e-06 3.2236043e-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 0.0034056432 3.7924758e-06 3.0339806e-05 4.1717234e-05 9.481189e-05 2.8443568e-05 0.00020858616 5.309466e-05 3.7924758e-06 0.0 3.7924758e-06 1.8962379e-06 1.8962379e-06 0.0 3.7924758e-06 1.8962379e-06 0.0016667931 2.9391687e-05 2.1806736e-05 5.6887134e-06 2.559921e-05 1.3273665e-05 4.7405945e-05 4.0769115e-05 6.6368325e-06 2.1806736e-05 1.6118021e-05 1.2325546e-05 1.04293085e-05 7.5849516e-06 1.1377427e-05 4.7405947e-06 0.0015672406 5.9731494e-05 5.119842e-05 2.1806736e-05 4.0769115e-05 1.3273665e-05 2.4651092e-05 2.3702973e-05 1.706614e-05 1.801426e-05 1.2325546e-05 1.8962379e-05 1.9910498e-05 1.2325546e-05 1.6118021e-05 2.4651092e-05 0.0030102776 8.627882e-05 8.059011e-05 0.00010618932 0.00019436439 4.456159e-05 4.2665353e-05 4.9302183e-05 3.3184162e-05 3.1287924e-05 3.1287924e-05 4.3613472e-05 3.0339806e-05 2.9391687e-05 1.3273665e-05 5.6887136e-05 0.0027400637 7.01608e-05 7.01608e-05 0.00012894417 0.00020479369 7.3005154e-05 6.4472086e-05 6.0679613e-05 6.826456e-05 6.162773e-05 6.0679613e-05 7.01608e-05 5.49909e-05 6.257585e-05 4.2665353e-05 5.0250303e-05 0.0037810984 0.0001099818 0.00018867567 0.00012230735 0.00028159132 0.00012704794 9.291565e-05 0.00012799606 0.00024745904 9.765625e-05 8.7226945e-05 9.196754e-05 0.00013558101 8.343447e-05 0.000118514865 0.00013178853 0.0036180217 0.0001346329 0.0003498559 0.0005593902 0.00037355887 0.00025978457 0.0011586014 0.0006096405 0.00024745904 9.291565e-05 4.3613472e-05 4.2665353e-05 9.481189e-05 5.9731494e-05 5.309466e-05 6.9212685e-05 0.0047254246 0.00026736953 0.00044371965 0.00020479369 0.00092441594 0.00033847845 0.0018014259 0.0009775106 0.00018393507 0.00019910498 0.00013937349 0.00015264715 0.00014126972 0.0001659208 0.00022375607 0.0007613395 0.004767142 0.00040863926 0.00039157312 0.0030150183 0.00044940837 0.00042096482 0.00040863926 0.00039820996 0.0004266535 0.000430446 0.00042760163 0.00040674303 0.0004152761 0.00043234223 0.0004057949 0.00038778063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070871892 0.0009850956 0.001993894 0.00086468447 0.0022053246 0.001435452 0.0010780112 0.0014695843 0.004039935 0.0006504096 0.00045320086 0.0006636832 0.0014212303 0.00064187654 0.0013501213 0.0027865216 0.018055977 0.0044741733 0.004658108 0.0035838895 0.008610816 0.005586317 0.0030975046 0.004696033 0.009933442 0.0031534436 0.0017947891 0.0021863622 0.005066748 0.0024091701 0.006019607 0.007935756 0.052775145 0.05113869 0.049991466 0.04981891 0.051091284 0.050338477 0.05013748 0.0506561 0.050645668 0.051583357 0.050320465 0.049916565 0.049659625 0.051364344 0.0509813 0.051231608 2524.0 6.9865294 17634.0 0.024328003 0.0085630035 0.0073721223 0.0073154136 0.011171601 0.0073154136 0.0062379492 0.0061245323 0.0085630035 0.0074288305 0.00703187 0.0077690827 0.00703187 0.008903255 0.008676421 0.008109334 0.012078938 0.011285017 0.011681978 0.0121923555 0.011228309 0.010774639 0.012249065 0.01241919 0.010888057 0.00913009 0.010037428 0.009413633 0.009470342 0.0082794605 0.009356924 0.007712374 0.007542248 0.010150845 0.007939208 0.009470342 0.010774639 0.009470342 0.00992401 0.009640467 0.009583758 0.010207553 0.00703187 0.007485539 0.009016672 0.008903255 0.007258705 0.0074288305 0.0133265285 0.008222751 0.010094136 0.015651582 0.011795395 0.0068050358 0.012305773 0.011738687 0.008166043 0.007485539 0.006975162 0.007485539 0.008903255 0.0071452875 0.007258705 0.0074288305 0.00952705 0.018033344 0.0077690827 0.013723489 0.013269819 0.027446978 0.010831349 0.011171601 0.011455144 0.020358399 0.008449586 0.009810593 0.01786322 0.010888057 0.018997392 0.019734604 0.011795395 0.0068617444 0.018487014 0.013780197 0.024101168 0.013496654 0.008449586 0.008676421 0.008449586 0.009300215 0.0075989566 0.007712374 0.0077690827 0.0073721223 0.0074288305 0.0066349097 6.492332 0.0 0.0 0.0 10.0 528384.0 540672.0 0.0 0.0 107.0 1.0 1.0 0.0 0.0 0.0 1068890100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 5.0 0.0 53248.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 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 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 -53248.0 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 -6.3736777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9163065 0.0 0.0 0.0 0.0 0.0 0.0 -7.9822364 0.0 0.0 0.0 7.9916644 0.0 0.0 0.0 0.0 0.0 0.0 -5.55934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9974747 -6.6444745 0.0 3.1612916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94108.0 0.0 0.0 0.0 0.0 0.0 0.0 -114601.0 0.0 0.0 0.0 120884.0 0.0 0.0 0.0 0.0 0.0 0.0 -32622.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108142.0 -52839.0 0.0 720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 148524.0 720.0 532480.0 0.0 0.0 0.0 0.0 3792.0 536576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 57344.0 0.0 0.0 0.0 0.0