Input: 0.19880246 0.007376944 0.005216586 0.003235035 0.005929064 0.0022924002 0.0017165493 0.0023098225 0.0072476524 0.0015542473 0.0020631603 0.0017229681 0.0038264745 0.0019173636 0.0014359595 0.0037888791 0.0062628374 0.002967283 0.0013259243 0.001309419 0.0026316755 0.001836671 0.0012149721 0.0012342283 0.0027206205 0.0011141065 0.0010013204 0.0011406983 0.002139268 0.0011040199 0.0009930677 0.001307585 0.0045334506 0.0009316315 0.0018751834 0.00096372503 0.0038347272 0.0017550617 0.0008912852 0.0009673929 0.00199989 0.0011443662 0.00085093896 0.0016927083 0.0016276041 0.0012956646 0.0020246478 0.0010444175 0.0032038586 0.0012589862 0.001126027 0.0064168866 0.0018265845 0.0010095731 0.0009307145 0.0009976525 0.0020631603 0.0011251101 0.0014322917 0.002293317 0.0027041154 0.0016835388 0.002276812 0.001264488 0.009775711 0.0052963616 0.0038585681 0.0069074603 0.0071788807 0.024651555 0.0041015623 0.004200594 0.003962185 0.0052312575 0.0023272447 0.0031360036 0.006106954 0.0052074166 0.0018678477 0.0027738044 0.0091109155 0.002139268 0.003330399 0.0070642605 0.00429229 0.010736686 0.0040327907 0.0026252568 0.0017284697 0.005309199 0.0023813453 0.0034065067 0.0013571009 0.003489033 0.0027252054 0.004586634 0.0014781397 0.004965339 0.0012819102 0.0027297903 0.007240317 0.008457123 0.0033432364 0.001932035 0.005173489 0.0052009975 0.0032506236 0.0012782423 0.004405993 0.002252054 0.004498606 0.0053477115 0.0031992737 0.0010407497 0.0052798563 0.0035926497 0.010736686 0.0058758804 0.0014295408 0.0025427304 0.0023776775 0.0020539905 0.00092246186 0.0011636224 0.0019503741 0.0025445642 0.0017358054 0.0015780883 0.0054935077 0.001401115 0.0010664245 0.0072751613 0.0033652436 0.0036806779 0.0009508876 0.0010022374 0.0019641286 0.011406067 0.0019879695 0.046152435 0.0013882776 0.007444799 0.0009032057 0.0012021346 0.0025674882 0.0008619425 0.001126027 0.0011104387 0.0011737089 0.0011929651 0.0009032057 0.0008316828 0.0011315288 0.0010077391 0.0008756969 0.0012663219 0.0013745232 0.0010315801 0.000850022 0.0011507849 0.0019182805 0.0027068662 0.0008225132 0.0012681558 0.0010068222 0.0014313747 0.00074273767 0.0009967356 0.0012048855 0.0007904196 0.0010920995 0.00084268634 0.0012058025 0.0008390185 0.00078950264 0.0012204739 0.0019357027 0.0010049882 0.0014066168 0.0009774795 0.0012131382 0.00073173415 0.00086102553 0.0011205252 0.0022373826 0.0017834874 0.0031103287 0.0010545041 0.0010930165 0.0010004034 0.0013910285 0.0012672389 0.009594154 0.0011581206 0.001747726 0.008773474 0.003328565 0.00089311914 0.003009463 0.0024657056 0.001724802 0.0018073283 0.00084818806 0.0009838982 0.0014845583 0.00076382776 0.0011837955 0.0013231734 0.002759133 0.0013002494 0.0023547534 0.0016596977 0.0015707526 0.00090595655 0.0014598005 0.0012901629 0.0032808832 0.0010425836 0.0012030517 0.0020008069 0.0017486429 0.0009838982 0.0008839495 0.0012672389 0.0023455839 0.0009774795 0.0010976013 0.0009985695 0.002251137 0.0019219484 0.001032497 0.0009802304 0.02134133 0.0032460387 0.001126944 0.004578382 0.004913072 0.0010279123 0.0012580693 0.001170041 0.0056163804 0.0011049369 0.0015817562 0.00121864 0.0054118983 0.0022905662 0.0029278535 0.0028893412 0.007972051 0.0023162412 0.0032093604 0.003241454 0.012107541 0.003284551 0.004175836 0.051833004 0.078930385 2.7534657e-06 2.2945546e-06 2.2945546e-06 6.8836644e-06 0.0 0.0 0.0 0.0 1.8356438e-06 9.178219e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022913425 0.0001216114 4.0843075e-05 8.260397e-06 1.3767329e-05 1.0096041e-05 9.63713e-05 6.378862e-05 6.8836644e-06 7.801486e-05 3.1205946e-05 2.6616835e-05 7.3425754e-06 8.260397e-06 7.801486e-06 7.3425754e-06 0.0014951319 9.63713e-06 8.260397e-06 1.422624e-05 0.000111974274 1.5144062e-05 5.9658423e-06 2.6616835e-05 1.7438617e-05 8.719308e-06 1.422624e-05 1.1472774e-05 1.1013863e-05 7.3425754e-06 8.260397e-06 0.00011426883 0.004013176 0.00013354309 0.00019503715 9.774803e-05 0.000121152494 4.6350007e-05 0.0003065525 0.0001844822 0.00018540003 8.627526e-05 1.6979706e-05 9.086437e-05 3.1205946e-05 2.2486636e-05 3.1664855e-05 7.617922e-05 0.0066037285 0.00017805745 0.0007002981 4.0384162e-05 0.0011931685 0.0006199887 0.002432228 0.0012560392 0.00013354309 1.1931685e-05 1.8815348e-05 1.6520795e-05 5.5987137e-05 9.1782185e-06 1.7438617e-05 0.00081043673 0.0070415298 0.000226702 0.00029645648 0.00015419407 0.0034854286 0.0020123245 0.005556494 0.0036240197 0.00034555994 2.5699013e-05 4.1760897e-05 2.9370301e-05 0.00012298813 2.0192081e-05 6.975447e-05 0.0013836165 0.006075981 0.00045019164 0.0007126887 0.0002514832 0.003772248 0.002524928 0.002731438 0.001484577 0.0003726357 6.378862e-05 6.975447e-05 6.332971e-05 0.00010738516 2.7534657e-05 9.820694e-05 0.001870521 0.008763364 0.0012275868 0.00039466342 0.0004864456 0.0079813795 0.004351394 0.0059961304 0.002998524 0.00026754508 0.0001927426 0.00027810002 9.361783e-05 6.332971e-05 4.5891094e-05 9.774803e-05 0.0043555237 0.0070213377 0.00048047976 0.00048690452 0.0007094763 0.0030930599 0.0012739368 0.0031958558 0.0016708948 0.0005828169 0.00023450349 0.00020329755 0.00022945547 0.00024918866 0.00015832428 0.00062687235 0.0014001373 0.01147415 0.0009127739 0.0010935848 0.001602976 0.0055739325 0.0017213749 0.0041926103 0.0022504993 0.0019292616 0.00041439658 0.00052958325 0.0007672991 0.0008443961 0.0005020486 0.0012665943 0.003458353 0.05182206 0.0068235467 0.0062691825 0.007928145 0.031476703 0.020147568 0.014979312 0.0109298825 0.039274976 0.0035983208 0.0032628567 0.0050122254 0.011499391 0.0053743063 0.017436322 0.043300543 0.053411726 0.010208933 0.0089620715 0.011390628 0.029886575 0.026890347 0.014779686 0.0137654925 0.0451885 0.0051356726 0.0052747224 0.0069396514 0.018805712 0.009707802 0.020862091 0.043038506 0.011226338 0.009546724 0.008288391 0.008951976 0.009886319 0.008741795 0.008421933 0.009705049 0.008467825 0.008619266 0.009153438 0.008927194 0.009327824 0.009852359 0.009789947 0.011469562 8042.0 13.617135 109509.0 0.007707129 0.0006026902 0.006520012 0.0005205052 0.0013697505 0.0022189957 0.0005661635 0.0009040353 0.0027760277 0.002155074 0.0008401136 0.0017258856 0.0012601704 0.002127679 0.010200075 0.0013514871 0.0026664475 0.0024107608 0.003095636 0.0034061128 0.0016437005 0.0011231954 0.0010866687 0.0010958003 0.0016437005 0.001132327 0.0015706471 0.0012875655 0.001324092 0.003232611 0.00094056193 0.0009496936 0.0014428038 0.024710298 0.009195591 0.021185473 0.03473687 0.02313965 0.011405455 0.010565341 0.0045384397 0.033933286 0.0010592737 0.006574802 0.012126857 0.018811239 0.008894246 0.013980586 0.020080542 0.0036526679 0.013606188 0.029705321 0.025130354 0.010154417 0.009871335 0.005643372 0.002483814 0.008401136 0.0018080706 0.0033604545 0.0015706471 0.0032782694 0.0032965327 0.027431535 0.0006026902 0.038006008 0.004447123 0.018254207 0.02001662 0.07189363 0.006656987 0.010364445 0.009149933 0.04070898 0.0015523838 0.0045384397 0.029285265 0.012501256 0.032910537 0.04069985 0.013743163 0.001214512 0.040352847 0.021632925 0.046471067 0.014966806 0.004885443 0.015742999 0.005131998 0.01044663 0.0014975938 0.0009496936 0.00082185026 0.0008492453 0.0016071738 0.0008675086 5.6816454 2.0 3.0 0.0 2.0 1090560.0 1097728.0 0.0 0.0 22.0 0.0 1.0 0.0 1.0 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 0.0 0.0 0.0 0.0 606208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7021995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3696666 0.0 0.0 0.0 0.0 0.0 6.508578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.664774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -458752.0 0.0 0.0 0.0 0.0 0.0 606208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1085440.0 14476.0 1069056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1068960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.49338078 0.0012494385 0.00059664197 0.0006054161 0.00039834625 0.00034219172 0.0006054161 0.00044748146 0.0002579599 0.0004246687 0.00045274597 0.00014565083 0.00033692722 0.00014214117 0.00016846361 0.00044572665 0.00018074742 0.0003299079 0.00026322438 0.00018952157 0.00012283806 0.00018601191 0.00016144429 0.0001982957 0.0002456761 0.00015091532 0.00018425708 0.0001017801 0.00015793464 0.00016144429 0.00019654087 0.00030183065 0.0013213864 0.00015091532 0.00023514712 0.00011932839 0.0001263477 0.00015267015 0.00015267015 0.00017723776 0.0003772883 0.00010353493 0.00016144429 0.00018250225 0.00016495395 0.00026673404 0.00029130167 0.00014740566 0.00052995846 0.00031937895 0.00010002527 0.0002702437 0.00013336702 0.00018601191 0.00016670878 0.00028077269 0.00035798518 0.00030358546 0.002035602 0.003092009 0.14588423 0.0012740061 0.00020531502 0.0012494385 0.00062120956 0.00017021844 0.00015793464 0.00015968947 0.00021233434 0.00017548293 0.00010528976 0.00017899259 0.00017197327 0.00015091532 9.3005954e-05 0.00011581873 0.00029130167 0.00018601191 0.00018601191 0.00017197327 0.00028077269 0.00016846361 0.00015442498 0.0001912764 0.00024216644 0.00029656614 0.00016670878 0.000143896 0.00024743093 0.00010704459 0.00011757356 0.00012985736 0.00018601191 0.00015617981 0.00011055425 0.00018250225 0.00096866576 0.00045274597 0.00023865678 0.00031235963 0.00037904314 0.00082652457 0.00017723776 0.00019478606 0.00024216644 0.00052995846 0.00011406391 0.0002211085 0.00035447552 0.00031411444 0.0004492363 0.00057733885 0.00055452605 0.00011230908 0.0005597905 0.0004895974 0.0006756093 0.00028252753 0.0002526954 0.00019478606 0.00016670878 0.00022812781 0.00010879942 0.00020005053 0.00013863151 0.00013336702 0.00011581873 0.00035974 0.0007844087 0.00012283806 8.7741464e-05 0.00018952157 0.0001017801 0.00012810253 0.00011581873 0.00013512185 0.00015091532 0.00014916049 4.2115902e-05 0.00013863151 0.0001912764 8.7741464e-05 0.00016495395 0.00013863151 0.0006633255 0.00013336702 7.019317e-05 9.1251124e-05 0.0001017801 9.4760784e-05 0.00013336702 0.00015617981 0.00011932839 0.00012108322 0.00012283806 7.896732e-05 0.000143896 8.2476974e-05 0.00015267015 0.00014740566 0.00024041161 7.545766e-05 0.00016670878 4.3870732e-05 8.5986634e-05 0.00014565083 8.5986634e-05 9.4760784e-05 0.00016495395 7.545766e-05 0.00010528976 7.545766e-05 0.00011581873 9.1251124e-05 0.00015267015 7.721249e-05 0.0004738039 0.00012985736 0.00017899259 5.9664195e-05 0.0002035602 0.00013336702 7.545766e-05 0.00011757356 0.00011230908 9.3005954e-05 0.00010528976 0.0001737281 0.00012459287 0.00013336702 8.9496294e-05 0.00014740566 0.00058260333 0.00011932839 0.00017021844 0.00014916049 0.00016495395 0.00015617981 9.4760784e-05 0.00015091532 0.00012459287 0.00011406391 0.00017021844 0.0003000758 0.00015617981 0.000143896 7.370283e-05 0.00010002527 0.00033341756 0.00011230908 0.00010879942 0.00013687668 0.00011757356 0.00013336702 0.00019303123 0.00019654087 0.0001263477 9.1251124e-05 0.00025620506 0.00011230908 9.3005954e-05 6.668351e-05 8.7741464e-05 0.00024743093 0.00046853942 0.00023514712 0.000287792 0.00014916049 0.0005317133 0.0023935873 0.0026375083 0.14690202 0.0003965914 0.00024918574 0.00017197327 0.00025971472 0.00013512185 0.00020706985 0.00011757356 0.00018250225 0.0008037118 0.00013161219 0.0001263477 0.00020005053 0.00012985736 0.00012459287 0.0002755082 0.00023339229 0.00030709512 0.00018074742 0.00021233434 0.00017899259 0.0003351724 0.00024918574 0.00048784254 0.14561749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035670925 0.0 1.7595721e-05 0.0019232123 2.9912726e-05 0.0 5.2787163e-06 8.7978606e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0019232123 0.0018704251 0.0056755 5.2787163e-06 3.5191442e-06 0.00055074604 2.6393582e-06 7.0382885e-06 9.677647e-06 4.926802e-05 3.2552085e-05 3.5191442e-06 0.0 3.5191442e-06 0.0 3.5191442e-06 0.0005146748 0.00034575592 0.0729369 8.885839e-05 7.830096e-05 0.009253589 6.686374e-05 0.000189154 0.00013636684 0.000119650904 0.0001451647 0.0001381264 2.1114865e-05 4.5748875e-05 9.325732e-05 5.1907376e-05 0.009288781 0.010048917 0.12670414 6.686374e-05 0.0003325591 0.028516505 0.00016891892 0.00010117539 0.00031056447 0.0001328477 0.00013372747 0.00026745495 9.237754e-05 0.00022874436 0.00013548705 0.00012053068 0.028353745 0.026946966 0.17740093 0.00019971143 0.0003527942 0.072780296 0.00020674971 0.00019883165 0.00036247185 0.0001953125 0.00022170608 0.00035455378 0.000112612615 0.0002780124 0.00038534627 0.00039414415 0.07261314 0.07033978 0.0697292 0.000518194 0.0006923916 0.040475436 0.0004222973 0.00026217624 0.00059033645 0.00053403014 0.00036687078 0.0001390062 0.000113492395 0.00018035613 0.000341357 0.00033695807 0.040347867 0.03774282 0.0053517385 0.00019091358 0.0007671734 0.001245777 0.0004777238 0.00035015485 0.002586571 0.0014727619 0.0001258094 3.8710587e-05 5.4546734e-05 5.6306308e-05 9.061796e-05 8.006053e-05 0.0008322776 0.0006932714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00078476913 4.39893e-05 5.1907376e-05 6.0705235e-05 8.269989e-05 7.478181e-05 0.00031408362 0.00016803913 4.0470157e-05 2.5513795e-05 2.463401e-05 2.3754223e-05 5.0147803e-05 2.463401e-05 1.3196791e-05 1.8475506e-05 0.0014173354 0.00024721987 0.00015836148 0.000102934966 0.00017243806 0.00015396255 0.00041789838 0.00028153154 0.00012668919 7.6541386e-05 5.8945665e-05 8.006053e-05 8.18201e-05 5.9825452e-05 8.885839e-05 7.918074e-05 0.0006299268 6.3344596e-05 4.7508445e-05 0.0001821157 4.8388232e-05 5.8065878e-05 4.662866e-05 5.9825452e-05 5.6306308e-05 4.222973e-05 5.0147803e-05 4.8388232e-05 5.542652e-05 5.542652e-05 0.00018739443 0.0001706785 0.0005164344 7.478181e-05 6.246481e-05 0.00016891892 5.8065878e-05 6.862331e-05 5.8945665e-05 7.0382885e-05 6.598395e-05 5.2787163e-05 6.158502e-05 5.8945665e-05 6.246481e-05 6.0705235e-05 0.0001821157 0.00017859657 0.0026631122 0.0015783361 0.00139798 0.0014278927 0.0013891822 0.0014023789 0.0013293567 0.0013381545 0.001414696 0.0012792089 0.0011885909 0.0013469524 0.0014806798 0.0012308207 0.0013953407 0.0015607404 256.0 16.675781 4269.0 0.055985007 0.0025767158 0.008901382 0.0011712345 0.0002342469 0.0009369876 0.0004684938 0.0014054814 0.0002342469 0.0004684938 0.0004684938 0.0018739752 0.0007027407 0.015226048 0.014757554 0.0051534316 0.0074959006 0.0074959006 0.004216444 0.0051534316 0.0056219255 0.004450691 0.0032794566 0.0014054814 0.0051534316 0.0053876787 0.0028109627 0.0004684938 0.008901382 0.005856172 0.010072617 0.0009369876 0.0014054814 0.0096041225 0.004919185 0.0056219255 0.006324666 0.004216444 0.0035137034 0.008667136 0.0011712345 0.0060904194 0.0004684938 0.0016397283 0.004450691 0.00679316 0.002108222 0.0053876787 0.0025767158 0.0009369876 0.003982197 0.011478098 0.008667136 0.0032794566 0.0025767158 0.007261654 0.0014054814 0.0002342469 0.0007027407 0.0009369876 0.0037479503 0.0004684938 0.0014054814 0.011478098 0.0025767158 0.041461702 0.017802764 0.023424689 0.026938394 0.08550011 0.012180839 0.014054813 0.012883579 0.048020612 0.0007027407 0.004684938 0.025532912 0.025532912 0.03982197 0.049426094 0.02108222 0.002108222 0.04848911 0.046380885 0.068868585 0.021316467 0.00679316 0.008667136 0.005856172 0.011243851 0.0016397283 0.0016397283 0.0 0.0011712345 0.0009369876 0.0004684938 5.4719987 0.0 1.0 0.0 3.0 569856.0 589824.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542174000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 417792.0 512.0 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 -417792.0 0.0 151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3618865 0.0 2.8092816 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 -417552.0 0.0 150612.0 0.0 0.0 0.0 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 79.0 425656.0 150612.0 425984.0 0.0 0.0 0.0 0.0 12.0 581632.0 28.0 425344.0 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: 0.27886128 0.046654195 0.03496957 0.016098728 0.015533667 0.007076816 0.020879168 0.008523093 0.0090409815 0.0057128402 0.025694733 0.005219039 0.005006263 0.0059828255 0.004657992 0.0026065086 0.0043167477 0.00925175 0.012126236 0.008392616 0.0031816065 0.009017897 0.004368938 0.003841012 0.004259539 0.0017684513 0.0014442687 0.005352526 0.0029186471 0.0027098856 0.0053866506 0.002459974 0.009653215 0.002238165 0.001312789 0.0013238293 0.0010257419 0.0024940984 0.0014713675 0.0012064009 0.012254705 0.0011180787 0.008418712 0.004107986 0.003950411 0.0034285071 0.0033181044 0.0010357786 0.004836644 0.0020344215 0.0022291318 0.0014954554 0.0014151625 0.0012134266 0.0010839542 0.0016921731 0.0012856902 0.0008541158 0.00097455515 0.00082199863 0.0013117854 0.0008541158 0.0012114192 0.00097355153 0.0011652508 0.0019089639 0.001449287 0.0024961059 0.0016620632 0.0025111607 0.0013358733 0.0011732802 0.0018437259 0.0024830583 0.00073166913 0.00089225493 0.0019109712 0.0021066852 0.0013639758 0.0019922678 0.0016229204 0.0010267455 0.0015416238 0.002243183 0.0024830583 0.0010207236 0.0020585095 0.00071159593 0.0016710962 0.0011843204 0.00061624806 0.0007657936 0.00082701695 0.00066843844 0.00070758123 0.0039042428 0.001585785 0.009366168 0.0028012188 0.004839655 0.005278255 0.018395105 0.0021568683 0.003340185 0.0029688303 0.008748916 0.0012816755 0.0016941804 0.006288942 0.0045837215 0.009010872 0.017846102 0.0069864867 0.0017293085 0.011947584 0.009907141 0.012755532 0.0059145764 0.0015867886 0.0015185396 0.0020273959 0.003919298 0.0020876157 0.0073939734 0.00089024764 0.0037145508 0.0020233812 0.0004988197 0.0030641782 0.0026004866 0.003455606 0.0020856082 0.0011040275 0.00061624806 0.002045462 0.002872479 0.0015958216 0.0011241008 0.0012254706 0.0014041222 0.0012997414 0.0010056687 0.0009073099 0.00066141284 0.0006393323 0.0008671634 0.0006001895 0.0010428041 0.0007597717 0.0013358733 0.0018186343 0.00075676065 0.00055903936 0.0015727374 0.0010658883 0.0004927977 0.00072564714 0.0005620504 0.0008410682 0.0006704458 0.0009755588 0.00077583024 0.0020304068 0.000690519 0.0006624165 0.0006192591 0.0004626879 0.0004938014 0.0005740943 0.0005479991 0.00064133963 0.0008571268 0.0010157053 0.00039644624 0.00043759635 0.0005058453 0.0009324014 0.00043759635 0.00044562563 0.00043759635 0.000696541 0.0013077707 0.00062427734 0.0006363213 0.0012575877 0.0007065776 0.0005951712 0.0009584966 0.00062728836 0.0005560284 0.0004315744 0.0007898815 0.00075475336 0.00057208695 0.00039845356 0.0010638811 0.0012104156 0.00067446043 0.0013027524 0.00055402104 0.0006021968 0.00046770618 0.0006052078 0.0012304889 0.0010829506 0.00052591856 0.0007537497 0.0006563945 0.0017333232 0.0007477277 0.00082500966 0.0005349515 0.00083303894 0.0006493689 0.0022100622 0.00053294416 0.0007969071 0.0006573982 0.0007376911 0.0005610467 0.0015757483 0.0006804824 0.0010568554 0.00042454875 0.0009042989 0.0009133318 0.0019190005 0.0005108636 0.0019631616 0.0004074865 0.0009926211 0.00039744988 0.0016138875 0.0012385182 0.00054498814 0.0005309369 0.0009976394 0.00067446043 0.0007146069 0.000631303 0.00084006455 0.00040648284 0.00078185217 0.00040849016 0.0008290243 0.0007196252 0.0007969071 0.0008049364 0.0008992806 0.0007667973 0.0005229076 0.000575098 0.0006834934 0.00096652587 0.0015667154 0.00083203526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008758922 0.00014166185 0.00026473685 0.0002054599 0.00022806552 8.037552e-05 0.00018787777 0.00029337063 0.00015472286 0.00015673225 7.083092e-05 0.00019742236 0.00013261959 0.00021249277 3.365725e-05 0.0001979247 0.04707594 0.0008755908 0.001104661 0.0011975951 0.0019566414 0.0009820883 0.0023243595 0.002090768 0.00059528113 0.00077863777 0.0006460182 0.0011393229 0.00094742636 0.0011528863 0.00044307002 0.00047572257 0.057833698 0.0037449966 0.00789589 0.0012282383 0.00825356 0.0055027087 0.05504969 0.029511377 0.0011875483 0.0001486947 0.0005410277 0.000117046846 9.042245e-05 0.00020244582 0.00025368523 0.00024966645 0.06852013 0.016029892 0.008089796 0.0032059783 0.00356164 0.0031582555 0.013932091 0.011720257 0.00396402 0.00087257667 0.0011147079 0.00081430445 0.001523116 0.0011634355 0.0018451205 0.0014311865 0.18023004 0.03152227 0.02728146 0.009841479 0.006108539 0.006940928 0.016868811 0.020155165 0.0066038533 0.005281676 0.0036952642 0.0036495507 0.0032180347 0.005324878 0.0046009957 0.004068006 0.092888474 0.017288271 0.009359729 0.0050420566 0.003971053 0.0034882973 0.005935732 0.0065882807 0.008682565 0.004716033 0.003351659 0.0031733257 0.0041734986 0.0038082923 0.004934052 0.0036686398 0.032921307 0.0091432175 0.0028854809 0.0022535285 0.0020817257 0.002090768 0.0041021653 0.003059293 0.00430009 0.0017135055 0.0015944493 0.0016466933 0.0016999422 0.002013909 0.0020013503 0.0015954539 0.0027352793 0.00148544 0.00077813544 0.0006364736 0.00030442225 0.00023057725 0.0011579097 0.0008811166 0.001055431 0.00011353041 0.00012508439 0.00015773694 0.00012106562 0.00012608909 0.00023811247 0.00014166185 0.0002868401 3.767602e-05 0.00014568062 0.00011252572 2.2605613e-05 4.973235e-05 0.000113028065 6.430041e-05 8.539899e-06 6.5305107e-06 1.7582144e-05 1.808449e-05 2.4615001e-05 6.5305107e-06 8.188256e-05 3.265255e-05 0.00055609806 0.00013613603 0.0001080046 0.00012257266 9.5445925e-05 9.494358e-05 9.6952965e-05 0.0001240797 8.791072e-05 8.640368e-05 8.640368e-05 8.891541e-05 8.590133e-05 0.00011101868 8.3891944e-05 9.293419e-05 0.00045160993 0.0004480935 0.00045060524 0.00044859585 0.00045060524 0.0004470888 0.00045211226 0.00044909818 0.00044909818 0.00045010287 0.00045211226 0.00044759116 0.00045010287 0.0004480935 0.00045261462 0.00045412165 5118.0 20.165298 103206.0 0.0023351356 0.00013565103 0.00013565103 8.720423e-05 0.00018409782 0.00016471911 0.00013565103 5.8136156e-05 8.720423e-05 8.720423e-05 0.00044571052 0.00083328487 0.002451408 0.00023254463 0.011375308 4.8446796e-05 0.0028002248 0.0050675347 0.0040113945 0.0020153867 0.0017053272 0.0025870588 0.0012983741 0.002858361 0.002073523 0.0013177529 0.00014534038 9.689359e-05 0.0043892795 0.0016859485 0.004398969 0.00012596167 6.782552e-05 0.009921904 0.005871752 0.014504971 0.006559696 0.013681375 0.0046315137 0.004902816 0.0024417185 0.012673682 0.00031974885 0.0023835823 0.0060364706 0.0070247855 0.0054260413 0.008516947 0.0073542236 0.0016084337 0.006685658 0.0144952815 0.0100963125 0.0029164972 0.00423425 0.0022188632 0.00016471911 0.00013565103 0.00029068076 5.8136156e-05 0.00012596167 9.689359e-06 4.8446796e-05 0.030618375 0.0033234502 0.0512664 0.010658295 0.02647133 0.024242777 0.11545841 0.0070538535 0.019572506 0.008923899 0.05174118 0.0011917911 0.006453113 0.037895083 0.024116814 0.054483265 0.048156116 0.023070363 0.0022479314 0.062108792 0.040908474 0.07245703 0.027508091 0.005794237 0.0026355057 0.008749492 0.020483306 0.0011142764 5.8136156e-05 7.751487e-05 6.782552e-05 0.00022285526 8.720423e-05 5.143556 0.0 0.0 0.0 1.0 996352.0 1024000.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 4239318000.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 994304.0 512.0 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 -994304.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.860636 0.0 3.2743254 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 -994020.0 0.0 1016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1002124.0 1016.0 1007616.0 0.0 0.0 0.0 0.0 12.0 1015808.0 56.0 1002028.0 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: 0.17423776 0.009966693 0.01766107 0.006482352 0.011862057 0.0034135717 0.002593586 0.002770613 0.012793921 0.0018405188 0.0023787806 0.0015635823 0.00523338 0.0016462158 0.001259483 0.0036923813 0.008668807 0.0016255054 0.002009428 0.00092395395 0.002985106 0.0023967852 0.00080208527 0.0013976911 0.0025398848 0.00076982286 0.00069832517 0.0010443656 0.004016671 0.000787307 0.0006676238 0.0007825197 0.003979621 0.00068958313 0.0008295604 0.0011929809 0.0054096784 0.0010298996 0.0007842889 0.000748384 0.00199746 0.000749841 0.0006904157 0.0012135872 0.0018806907 0.0009250987 0.005033041 0.0007723206 0.005220787 0.003390988 0.0032912868 0.008108794 0.0039760824 0.0037485803 0.003093029 0.0030998976 0.0041115847 0.0031704588 0.0031941873 0.004020001 0.0053752307 0.0031857574 0.0038885577 0.0029814634 0.012607112 0.0032129204 0.0035546937 0.0060517006 0.005556941 0.013229984 0.0030818933 0.0023990748 0.0041888063 0.0044968603 0.0015532792 0.0014529534 0.0027250294 0.003918843 0.0018730934 0.0017996184 0.005844597 0.0024226992 0.0030027982 0.010414099 0.005388968 0.0072159576 0.00433815 0.002816717 0.0023427717 0.0043298244 0.0025937941 0.0037610692 0.0016059398 0.0030489024 0.0029316128 0.0022014414 0.0019912154 0.008696178 0.001514148 0.0056385337 0.00911944 0.02041524 0.0050253393 0.0023392332 0.0050367876 0.008475233 0.0025177172 0.001550157 0.00913859 0.0048554935 0.009202698 0.008710852 0.004377385 0.0008192572 0.00929605 0.009021924 0.017524112 0.0060642934 0.001583252 0.0012116098 0.003156617 0.0039152 0.000759936 0.0010911982 0.0018398943 0.0016715053 0.0011971438 0.0015362113 0.0036362864 0.001571804 0.0008165513 0.0074331565 0.0036538746 0.0034921463 0.00095403084 0.0032104226 0.0020577176 0.008625201 0.0007604564 0.036981784 0.0036368067 0.0076880297 0.0008235242 0.0010517547 0.0029915585 0.00079427985 0.0009019947 0.001011895 0.0018483242 0.0010623701 0.00072819396 0.0008153025 0.0015497408 0.00081228436 0.000659194 0.0010911982 0.0025011697 0.0007374564 0.0008738952 0.00068916683 0.0014939579 0.0021305683 0.0005600131 0.0009735964 0.0013970666 0.0010181394 0.0006819858 0.0007866826 0.0013403472 0.0007035288 0.0006979089 0.0006986374 0.0013939445 0.00070071884 0.00084735674 0.0009602752 0.0027473008 0.00080718484 0.0018607088 0.0007885559 0.0016390348 0.0006598184 0.0014820937 0.0010085647 0.006181479 0.001368863 0.0017620482 0.0005795787 0.0034633183 0.0017008537 0.00079698575 0.00091718923 0.007974644 0.00066616683 0.001515501 0.007937075 0.0032692235 0.0007521306 0.0029728254 0.0019778942 0.0018608129 0.0012198315 0.00087046076 0.0006934338 0.0016829533 0.00059133884 0.0007064428 0.00066242024 0.0037297434 0.00070894056 0.0022045637 0.0012827952 0.0014633607 0.00066689536 0.0015561932 0.000745574 0.0033400967 0.0008558907 0.0012399175 0.0017072022 0.0015108177 0.00068635686 0.00070852425 0.0006837551 0.0016689035 0.000541176 0.0005998728 0.0005509588 0.0016603696 0.001155723 0.0005098502 0.0006339044 0.015732402 0.0031788887 0.0009263476 0.0034566575 0.0036650104 0.0005851986 0.0006523252 0.00060341123 0.004814489 0.00081499026 0.0013368088 0.0008661938 0.0048119915 0.0005805153 0.0012373157 0.00085974135 0.0050039007 0.001042076 0.00094528875 0.0009800489 0.006912899 0.0014621118 0.0018441613 0.03376324 0.0005323629 4.163558e-07 1.0408895e-07 5.2044474e-08 0.00010658708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003021702 2.3992503e-05 9.368005e-07 1.5613342e-07 9.643841e-05 8.327116e-07 2.081779e-07 2.6022238e-07 1.5613342e-07 2.6022238e-07 1.5613342e-07 1.5613342e-07 1.5613342e-07 1.5613342e-07 1.5613342e-07 1.5613342e-07 9.992539e-05 0.00010788819 5.152403e-06 1.5613342e-07 5.2044474e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043608065 7.541244e-05 1.3011119e-06 2.4460903e-06 2.2379124e-06 1.873601e-06 2.6542682e-06 2.7583571e-06 5.2044476e-07 1.5092897e-06 1.0408895e-07 1.6654232e-06 7.2862264e-07 8.8475605e-07 5.2044476e-07 2.2379124e-06 0.000322988 5.8706166e-05 4.6840028e-06 2.9769439e-05 7.968009e-05 2.3940459e-06 2.2379124e-06 1.9256456e-06 2.3940459e-06 2.2379124e-06 3.5390242e-06 3.174713e-06 2.2379124e-06 5.9851145e-06 3.3828908e-06 7.598493e-06 0.00033943405 1.9100322e-05 5.9851145e-06 3.4921843e-05 4.840136e-06 3.6951576e-06 4.059469e-06 1.2438629e-05 4.267647e-06 3.3828908e-06 2.5501793e-06 2.8104016e-06 3.7992465e-06 2.6022237e-06 7.234182e-06 8.181391e-05 0.001162101 3.7263842e-05 1.816352e-05 4.710025e-05 0.00012376175 9.1181915e-05 4.5903227e-05 3.1955307e-05 3.408913e-05 2.805197e-05 1.9464633e-05 1.2698852e-05 9.5241385e-06 1.4624497e-05 8.483249e-06 2.1025968e-05 0.011803114 0.0007537601 0.0011080789 0.00025480974 0.00042426656 0.00022909977 0.0048390953 0.0025165584 0.00061147055 8.020053e-05 1.7278766e-05 0.00085920224 2.883264e-05 1.5040853e-05 1.97769e-05 0.0008478565 0.007641378 0.0008953731 0.00046376832 0.00043618472 0.0009427336 0.00070124725 0.003548392 0.0019131028 0.00069963385 1.4364275e-05 9.940494e-06 0.00089938054 1.186614e-05 1.0148672e-05 9.732316e-06 0.0009884286 0.014730304 0.0011039153 0.0004878649 0.0006699685 0.0022881874 0.0014724423 0.0066441013 0.0027624685 0.00058612484 0.0005644744 0.00020786563 0.0005074336 0.00024741943 0.00014999218 0.00017028952 0.0005557309 0.044012293 0.003798622 0.0023962318 0.001735475 0.00950686 0.0049705594 0.019196345 0.009335321 0.0023683878 0.0014740035 0.001036778 0.002226827 0.0008845999 0.0011261904 0.0006730391 0.0028048328 0.06819403 0.009065471 0.007982321 0.045156285 0.019324478 0.011776103 0.03464866 0.020707507 0.008445361 0.0056622303 0.004734746 0.007758634 0.004077164 0.0050524254 0.0038989638 0.007851586 0.028559562 0.0018917646 0.0030795755 0.0021690056 0.007884738 0.0051129013 0.014754244 0.008651769 0.004725742 0.0016771331 0.0018110436 0.0018205678 0.0016071853 0.0010459378 0.0016780699 0.004129781 0.028117651 0.0034881767 0.002779331 0.003069531 0.008629078 0.0092422655 0.0068309414 0.005949464 0.016323177 0.0021576078 0.0017629025 0.0039431495 0.0059140217 0.0034004299 0.0065411055 0.012081396 0.051974215 0.010014501 0.00880197 0.009396422 0.021415677 0.029765379 0.01288871 0.012197924 0.05162135 0.0064964513 0.0060310178 0.008789219 0.021617193 0.0113430405 0.022046559 0.036107726 0.0011202573 0.0007833214 0.0007912842 0.0008597747 0.0008796557 0.0008947486 0.00083302386 0.0009857743 0.0009812985 0.00090609427 0.0007457973 0.0009384139 0.00095152913 0.0009227485 0.0010652983 0.0017961068 116965.0 14.60377 1708130.0 0.0023745266 0.0006966683 0.0009173775 0.0005959734 0.0035975014 0.00092615903 0.001294398 0.0007511138 0.0021585007 0.000649248 0.0006410519 0.00061236555 0.003794793 0.0008600048 0.024442518 0.00060885295 0.008588925 0.00796368 0.0068273493 0.007416297 0.007967778 0.0067401193 0.006570343 0.0064274967 0.008211318 0.0064901384 0.0065750265 0.0066277157 0.01301833 0.006757682 0.011502052 0.0060405238 0.0025554262 0.011431214 0.006053989 0.019069977 0.010856316 0.009393899 0.008343628 0.006908139 0.01275664 0.016940748 0.001457149 0.0011814089 0.0071066017 0.0048702382 0.004569324 0.0058555263 0.009980505 0.002243389 0.008395731 0.020018969 0.02185021 0.0027632557 0.0058057643 0.00406585 0.0030776346 0.0038193814 0.0009173775 0.0034400192 0.0020812233 0.003383232 0.002820043 0.0033088815 0.0027357403 0.03929736 0.004696364 0.025362238 0.019466316 0.089909434 0.006444474 0.008780948 0.007815564 0.03906143 0.0020777108 0.0042871446 0.029820915 0.021731952 0.044064563 0.040329482 0.014159344 0.001030952 0.04343229 0.041740384 0.06499154 0.015401052 0.0043451027 0.0023932604 0.007824931 0.017377483 0.0011334032 0.0005327463 0.0019489148 0.0006474917 0.0006796907 0.0005122561 5.6650515 0.0 0.0 0.0 12.0 9608704.0 9740288.0 0.0 10.0 595.0 1.0 1.0 0.0 0.0 0.0 1541705200.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 5.0 0.0 8152576.0 1024.0 4096.0 10.0 1.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -800768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70656.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -8133120.0 -15872.0 566784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11.699568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.716988 -6.403068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8169894 0.0 0.0 0.0 0.0 0.0 5.198758 0.0 0.0 -6.474923 -5.1440897 6.160278 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -800474.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69.0 -19380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110444.0 0.0 0.0 -70648.0 0.0 0.0 0.0 0.0 0.0 356.0 0.0 0.0 -8132900.0 -15836.0 566784.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 2.0 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 1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 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 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 3.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 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 0.0 0.0 -1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -3.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 -1.0 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 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 3.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -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 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 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 2.0 1.0 0.0 -1.0 -2.0 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 1.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 -1.0 -1.0 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 1.0 -1.0 -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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 356.0 8388608.0 15836.0 8343552.0 566784.0 9170944.0 0.0 0.0 0.0 0.0 773504.0 8396800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2436.0 8346288.0 26970.0 8359936.0 0.0 0.0


Input: 0.056704383 0.008303686 0.0061715604 0.0056587313 0.0057550813 0.004960455 0.0042020897 0.005423555 0.005054733 0.005631795 0.003752458 0.0044745626 0.004955275 0.0031681438 0.00431916 0.0046465416 0.0050360844 0.0037711062 0.0049366266 0.004153397 0.0043471325 0.0031733238 0.0041078124 0.0038498437 0.005068201 0.0033484108 0.0031629635 0.0029319315 0.004159613 0.0034354364 0.0037866465 0.0037938987 0.0061684526 0.003817727 0.003479985 0.0030303532 0.004896222 0.004158577 0.0038415554 0.0037193054 0.004725279 0.0038943924 0.0033349425 0.0030976944 0.004373033 0.0037358818 0.0037255215 0.003583587 0.005516797 0.0039399774 0.0031039105 0.002907067 0.0036799368 0.003071794 0.002679143 0.0028614823 0.004171009 0.0033090422 0.003526606 0.003356699 0.0040021385 0.0032209805 0.0035089937 0.0034551208 0.006600472 0.0039441213 0.0036125956 0.0032178725 0.004152361 0.0032240886 0.0035400742 0.003070758 0.004998788 0.0037742143 0.003700657 0.003591875 0.0041254247 0.003126703 0.0035628667 0.003470661 0.0051583345 0.0036219195 0.0036581804 0.0033328705 0.003931689 0.0033794914 0.003366023 0.0035380023 0.0046486137 0.003639532 0.003808403 0.0035069217 0.004109884 0.0033888156 0.0036840807 0.0037907907 0.005909448 0.0036281357 0.0033411586 0.002956796 0.0040042102 0.0030490016 0.0032676014 0.003024137 0.004972887 0.0031722877 0.0031981883 0.0030490016 0.0035721909 0.0028304018 0.0030862982 0.0031950802 0.0045077153 0.0032862497 0.0032220166 0.003138099 0.0038933565 0.0033297625 0.003294538 0.0036270998 0.0046237493 0.003288322 0.0034810212 0.0031702158 0.004032183 0.0031950802 0.003472733 0.0033453028 0.008652824 0.004598885 0.0040124985 0.00352557 0.004369925 0.0034375084 0.003015849 0.0033919236 0.004543976 0.0038332674 0.0029557599 0.0031950802 0.0037286296 0.002792069 0.002848014 0.0029847685 0.0052215317 0.0032075124 0.0035038136 0.0030251732 0.0036602523 0.003182648 0.003304898 0.0032562052 0.004539832 0.002839726 0.0030448574 0.0027019356 0.0035110656 0.0032271966 0.0029868404 0.0031515674 0.0050143283 0.003410572 0.0032696736 0.0028013932 0.0037773224 0.003013777 0.0030603977 0.0031785038 0.004142001 0.0030013449 0.0031194508 0.003011705 0.003644712 0.0028335098 0.0029184632 0.0030251732 0.00466519 0.0031163427 0.0038405196 0.0028625184 0.0035690828 0.0031588196 0.0029909846 0.003118415 0.0042507825 0.0031484594 0.0033339066 0.0031785038 0.0036519642 0.0031981883 0.0033276905 0.003351519 0.006722722 0.0040570474 0.0037244854 0.0033421947 0.0041171364 0.0032541333 0.0033007541 0.0032251247 0.004333664 0.0033307986 0.0031173788 0.0030894063 0.003644712 0.0029899485 0.003070758 0.002792069 0.0042424947 0.0032717455 0.0030904424 0.0029982368 0.0037203415 0.0030334613 0.0029381476 0.0029495438 0.003980382 0.0031070185 0.0027299079 0.0026335584 0.003524534 0.0029443637 0.0035794429 0.0028873826 0.004966671 0.003235485 0.0034043558 0.0029744082 0.003803223 0.003079046 0.0031971522 0.0029101751 0.004437266 0.005450492 0.0034623728 0.003129811 0.0037938987 0.0030883702 0.0032562052 0.003186792 0.004610281 0.0033256183 0.00341886 0.0030376054 0.0037369176 0.0030935504 0.0033173303 0.003241701 0.0043512764 0.0030344974 0.003188864 0.0028656265 0.0040124985 0.0030894063 0.0042238464 0.0045170393 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 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 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 0.099241994 0.06201172 0.062464714 0.055319514 0.060573857 0.059551112 0.05491841 0.054464374 0.060476825 0.053142745 0.05212104 0.052964248 0.056428395 0.050548784 0.056672797 0.053839106 4015.0 5.7036114 22900.0 0.017117904 0.010436681 0.009344978 0.00860262 0.013449782 0.012445414 0.011834061 0.011484716 0.012532751 0.00978166 0.008471616 0.00860262 0.013886463 0.010524018 0.011790393 0.010043669 0.01676856 0.01187773 0.008777292 0.007554585 0.009825327 0.008471616 0.007860262 0.008340611 0.010305677 0.008471616 0.009606987 0.008908297 0.011528384 0.008951965 0.009694323 0.009213974 0.018034935 0.010873362 0.010349345 0.009039301 0.010960699 0.00882096 0.010655022 0.008296943 0.014279476 0.011615721 0.00978166 0.008995634 0.011484716 0.009388646 0.011703057 0.009563318 0.014803493 0.009606987 0.009956332 0.008995634 0.01209607 0.009344978 0.009563318 0.00978166 0.013711791 0.009213974 0.010567686 0.009563318 0.011135371 0.009868995 0.010393013 0.01069869 0.017947597 0.011004367 0.009694323 0.008209607 0.013100437 0.008253275 0.009388646 0.008340611 0.015458515 0.00930131 0.008908297 0.008689957 0.011353712 0.007991266 0.009912664 0.007860262 0.013231441 0.008034934 0.008733625 0.008864629 0.011397379 0.009388646 0.008209607 0.007860262 0.010873362 0.00882096 0.011921397 0.008515283 0.011353712 0.008995634 0.009956332 0.008777292 6.5545774 0.0 0.0 0.0 14.0 965234.0 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: 0.056601178 0.008293743 0.006167567 0.0056515345 0.0057446063 0.004975212 0.0041944417 0.0054095476 0.005049669 0.005622579 0.00374356 0.0044560772 0.004945222 0.0031861626 0.0043340498 0.004639119 0.005055874 0.0037663109 0.004931778 0.004156179 0.004354732 0.0031716847 0.004112745 0.0038397342 0.0050744885 0.0033443847 0.003159275 0.0029286635 0.0041520423 0.003448832 0.0037849252 0.0037880277 0.006155157 0.0038159492 0.0034808903 0.003025872 0.0048800716 0.004163418 0.0038387002 0.0037249455 0.0047290884 0.0038955775 0.0033402483 0.0030951588 0.0043630055 0.0037094336 0.0037228772 0.0035894741 0.005517097 0.0039503863 0.0031137732 0.0028997078 0.003673239 0.0030786127 0.002691847 0.0028573084 0.004173759 0.0033133607 0.003534665 0.0033557601 0.0039958884 0.003235801 0.003502607 0.0034643442 0.0065915613 0.0039565912 0.0036142934 0.0032264937 0.0041551446 0.0032233912 0.0035439723 0.003066203 0.0050010653 0.0037776863 0.0037115018 0.0035812012 0.004134462 0.0031292853 0.0035470747 0.0034653782 0.0051613557 0.0036298053 0.0036566928 0.0033402483 0.003923499 0.0033785112 0.0033588626 0.0035367333 0.0046432554 0.0036525563 0.0038087103 0.0035150168 0.004110677 0.003386784 0.003697024 0.0037890617 0.0059079994 0.003633942 0.0033412823 0.0029514143 0.0040072636 0.0030548277 0.0032626884 0.0030362133 0.0049565975 0.0031685822 0.0032120158 0.003056896 0.0035894741 0.002839728 0.0031013635 0.0031861626 0.004500545 0.0032792345 0.003222357 0.0031385925 0.003892475 0.0033402483 0.0032875075 0.003627737 0.0046163676 0.0033019853 0.0034767538 0.0031716847 0.0040351856 0.0032006404 0.0034757196 0.0033485212 0.008635007 0.004594651 0.0040134685 0.0035315629 0.0043805856 0.0034333202 0.0030196672 0.003392989 0.0045367396 0.0038355978 0.0029524486 0.0032037427 0.0037373551 0.0028024993 0.0028686838 0.0029927797 0.005238916 0.0032068451 0.0034933 0.003034145 0.0036608293 0.0031799576 0.00330819 0.00326062 0.0045357053 0.0028376598 0.003042418 0.0027104614 0.0035088118 0.003228562 0.0029865748 0.0031478996 0.0050103725 0.0034095352 0.003283371 0.002800431 0.0037704473 0.0030331109 0.0030693056 0.0031882308 0.004135496 0.003002087 0.0031210121 0.0030155305 0.0036360102 0.0028448987 0.0029131514 0.0030465545 0.0046701427 0.0031220464 0.003844905 0.0028521377 0.003564655 0.0031458314 0.0030010527 0.0031230804 0.0042554555 0.0031582408 0.003346453 0.0031799576 0.0036525563 0.0031871966 0.0033278386 0.0033578286 0.006707384 0.0040517314 0.0037239115 0.0033423165 0.004112745 0.0032554495 0.0033050878 0.003228562 0.0043402542 0.0033247361 0.0031168757 0.0030796467 0.0036401467 0.0029886432 0.0030796467 0.0027942262 0.004257524 0.00329061 0.0030930906 0.0029989844 0.0037146043 0.0030124283 0.0029296975 0.0029359024 0.003978308 0.0031065342 0.0027311442 0.0026391062 0.0035398358 0.0029514143 0.0035770645 0.0028914346 0.0049421196 0.0032389031 0.003386784 0.0029741654 0.0038087103 0.0030744763 0.0031923673 0.0029048785 0.004443668 0.005451947 0.0034757196 0.0031447972 0.0037963006 0.0030651689 0.0032420056 0.0031789236 0.0046049925 0.0033123267 0.0034281495 0.0030403498 0.0037466623 0.0030817152 0.003315429 0.003245108 0.004346459 0.0030310426 0.0031840943 0.0028583424 0.0040134685 0.0031013635 0.0042327046 0.004508818 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045767953 0.00029255453 0.0002708071 0.0002702893 0.00029928586 0.00024025716 0.0003313892 0.0003070528 0.00033087138 0.00035054763 0.0003277646 0.00035106542 0.0005203846 0.0001532675 0.00018381744 0.0007378587 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09912264 0.062026735 0.062426474 0.05535235 0.06061315 0.059579115 0.05497436 0.05447831 0.06051736 0.053165182 0.052171014 0.05299586 0.05640917 0.050567918 0.056626126 0.053831067 4024.0 5.703529 22951.0 0.017123437 0.01045706 0.009324213 0.008583504 0.0134198945 0.012504902 0.011764193 0.011589909 0.012635615 0.009759923 0.008496362 0.008583504 0.013855605 0.010500632 0.011851336 0.009890636 0.01686201 0.011894907 0.008670646 0.007494227 0.009803494 0.008496362 0.007842796 0.008322078 0.010239205 0.00840922 0.00962921 0.008844931 0.011589909 0.009019215 0.009672781 0.009280642 0.018082 0.010892771 0.010369918 0.009149928 0.010805629 0.008975644 0.010718487 0.008278507 0.014247745 0.011589909 0.009803494 0.008975644 0.011415625 0.009367784 0.011677051 0.00962921 0.014770598 0.00962921 0.009934207 0.009062786 0.012069191 0.009324213 0.009542068 0.009803494 0.013681321 0.0091935 0.010544203 0.0095856385 0.011110627 0.009803494 0.01045706 0.010674916 0.017951287 0.010979914 0.009672781 0.008147793 0.013158468 0.008278507 0.009411355 0.008322078 0.015424165 0.009280642 0.008888502 0.008714218 0.011372053 0.007973509 0.009934207 0.007842796 0.013158468 0.007929938 0.008714218 0.008844931 0.011546338 0.009411355 0.008191364 0.007886367 0.0108492 0.008888502 0.011894907 0.008583504 0.01124134 0.009149928 0.010064921 0.008714218 6.554472 0.0 0.0 0.0 14.0 966994.0 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