Input: 0.14116372 0.008553212 0.0041484674 0.0033931928 0.0061851223 0.003913137 0.0020107809 0.0019430156 0.007812722 0.0014969967 0.0016867396 0.0014920684 0.0045328815 0.0013602341 0.0012197752 0.0038552287 0.0061087324 0.0014920684 0.0011766518 0.0008883413 0.002449407 0.0019651933 0.00076143537 0.0008193439 0.0022880025 0.00074911444 0.0008242723 0.00070599106 0.0016041892 0.0006000308 0.00059017405 0.0005618358 0.003857693 0.00058278145 0.0006480825 0.00053965807 0.0041299863 0.0013097181 0.00046203603 0.0005581395 0.0011766518 0.00064931466 0.0005803173 0.0009376251 0.0010990297 0.0023286617 0.00067272445 0.00051501615 0.006040967 0.0030063144 0.0036211305 0.010440783 0.0037591252 0.002242415 0.003230556 0.001962729 0.0042729094 0.0023138765 0.00071091944 0.001474819 0.0016584013 0.00097089174 0.00046326814 0.00052610505 0.011716002 0.0039094407 0.0048778686 0.0087848455 0.0038503003 0.03240413 0.0032527337 0.0026958263 0.0033673185 0.0035311875 0.0021783458 0.0023434467 0.0026970583 0.0043665487 0.0011544741 0.0015241029 0.009016479 0.0021339904 0.0020465117 0.00971015 0.0031898967 0.01377237 0.0032071462 0.0020859388 0.0019171415 0.00648329 0.002729093 0.003244109 0.0015586016 0.004615432 0.0023668567 0.0035878639 0.0057378714 0.0045328815 0.0020292623 0.0034301556 0.0095265675 0.0062886183 0.0042630527 0.0016941321 0.008278454 0.004410904 0.0039550285 0.0015536732 0.003805945 0.001909749 0.0046733404 0.0041977516 0.0035484368 0.0018653935 0.005166179 0.004012937 0.010531957 0.005716926 0.0020834745 0.00128138 0.0032404128 0.0012579701 0.0005285692 0.00058770983 0.0016460804 0.0025073155 0.0010583706 0.00087109196 0.0052216235 0.001153242 0.0010842446 0.009025104 0.0031085785 0.0032133067 0.0010300323 0.00061604806 0.0026514707 0.015125211 0.0022239336 0.051511474 0.0011914369 0.010954566 0.0008538426 0.00067765283 0.0026453102 0.0004423225 0.0007244725 0.00064315414 0.0011187432 0.00093269674 0.0015056215 0.00056553213 0.0011692592 0.00058647775 0.0004977668 0.00070968736 0.0009524103 0.000474357 0.00046326814 0.00041768057 0.00089326967 0.0033155705 0.00046450022 0.002540582 0.0014181426 0.0008144155 0.0005618358 0.00045094718 0.0010423533 0.00045587556 0.0005076236 0.00048544587 0.0008439858 0.00044848298 0.00073925767 0.00065547513 0.0013195749 0.0006825812 0.0017237024 0.0005347297 0.0008747882 0.00066779606 0.00070968736 0.0015733867 0.0031381487 0.002524565 0.004632681 0.000820576 0.0009967658 0.0004780533 0.0008501463 0.0007121515 0.0119501 0.0011446173 0.0022781456 0.010308948 0.0043406747 0.0010546743 0.0035435085 0.0033549976 0.0018629293 0.0017582012 0.0009795164 0.0012973972 0.0016756507 0.00088957336 0.000988141 0.0009388572 0.0028633913 0.0011458494 0.0029631911 0.0013479132 0.0018062529 0.00076513167 0.0015980287 0.00087232405 0.0033549976 0.0006517788 0.0010817804 0.0017803789 0.0014908363 0.0007158478 0.00056060374 0.00083905744 0.0024296935 0.00065547513 0.0008747882 0.000986909 0.002423533 0.0024223009 0.00054828275 0.0006912059 0.02750285 0.006002772 0.0010891729 0.0058770985 0.0065079317 0.001038657 0.00067765283 0.0007515786 0.007215155 0.0009733559 0.0018099492 0.0009154474 0.009102726 0.0021623287 0.004080702 0.0025837056 0.010029262 0.0030420453 0.0030617588 0.0035989527 0.014831973 0.0039809025 0.0042852303 0.06867088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017691707 0.0 0.0 0.0005154423 0.00024383198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009501422 0.0 0.0 0.004103785 0.0028296856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006109997 0.0 0.0 0.0045914487 0.0032050016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005487763 3.7037769e-06 1.7901588e-05 6.6667984e-05 0.00014815107 7.531013e-05 6.1729615e-06 7.4075538e-06 1.5432404e-05 0.0 0.0 1.8518884e-06 8.02485e-06 3.0864808e-06 4.9383693e-06 0.00035679716 0.0060686385 0.00020494232 0.00021234987 0.00054815895 0.0019018895 0.00048581205 0.0024358507 0.0010598975 0.00019383099 0.00010000198 9.197713e-05 7.4692834e-05 0.00066853175 0.00037840253 0.00039877332 0.0028753655 0.013261373 0.0006382842 0.0009413766 0.0020716458 0.0041099577 0.0035920462 0.0069340877 0.0031945074 0.00045186077 0.00023457254 0.00030926536 0.00032901883 0.0020728805 0.0010994044 0.0011166887 0.008947708 0.0206751 0.0012969392 0.001227802 0.0020685594 0.00728286 0.0025494331 0.0066606253 0.0032414221 0.0023809113 0.0009703895 0.00097224145 0.0013296559 0.004039586 0.0026377065 0.002661781 0.009537226 0.020132497 0.001554969 0.0012457037 0.002257452 0.009385371 0.0040260055 0.005859375 0.0033926596 0.005785917 0.0014074352 0.0017710227 0.002295107 0.003845755 0.0017648496 0.00402724 0.009630437 0.07372306 0.009778588 0.007251995 0.010041556 0.041897126 0.030483318 0.02122079 0.0138978055 0.05127262 0.0052704746 0.0060316008 0.00910697 0.016721936 0.007045818 0.027333872 0.06083145 0.06002279 0.010090323 0.009082896 0.011626155 0.02801043 0.030487021 0.0176022 0.014553374 0.049626287 0.0058624614 0.006457535 0.009114995 0.021017082 0.010895277 0.024985678 0.048340462 0.00023272065 4.7531805e-05 8.580417e-05 5.1852876e-05 9.0125235e-05 9.8767385e-05 4.321073e-05 6.543339e-05 0.00013395326 2.901292e-05 3.3333992e-05 2.901292e-05 8.3952276e-05 5.9877726e-05 7.284094e-05 0.000106792235 5347.0 17.12231 91553.0 0.005111793 0.00012014899 0.0005242865 8.738108e-05 0.003145719 0.00053520914 0.00012014899 0.00016383952 0.0003713696 0.00038229223 0.000688126 0.00054613175 0.0004696733 0.013380228 0.0010594956 0.0004369054 0.02685876 0.018546633 0.027634267 0.014712789 0.023647504 0.01604535 0.024990989 0.013445764 0.026825992 0.016198268 0.00077550707 0.00048059595 0.00089565606 0.0005024412 0.00010922635 0.00013107162 0.0012779483 0.008006291 0.0069467956 0.013620526 0.006695575 0.015138772 0.0044345898 0.0028835756 0.0046202745 0.016515024 0.002304676 0.0037464637 0.006400664 0.00625867 0.004161524 0.008650727 0.012113202 0.0024575929 0.0056142346 0.019212915 0.012266119 0.0058763777 0.005537776 0.0032767905 0.0026105097 0.005024412 0.0014308651 0.0028071173 0.0010922635 0.0026214323 0.0027306587 0.020829465 0.00024029797 0.029884329 0.014538027 0.026629385 0.02690245 0.05094317 0.013522222 0.010715105 0.021408364 0.034013085 0.0092296265 0.0077878386 0.025045602 0.012506417 0.037530173 0.03332496 0.020840388 0.0039430712 0.03851321 0.028071173 0.041800924 0.011818291 0.012473649 0.00688126 0.016471334 0.0062695923 0.0009830372 0.00027306587 0.00051336386 0.00024029797 0.0002839885 0.00029491115 5.76742 0.0 2.0 14.0 4.0 811625.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.592402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12505959 0.051814657 0.051902473 0.059031263 0.04883518 0.0707359 0.050168104 0.055233214 0.0010757477 0.00088757026 0.00075270975 0.0007025291 0.001003613 0.0048424327 0.004716981 0.0014834654 0.0038325472 0.00065548474 0.0006021678 0.00082484446 0.0009847953 0.0085903 0.0007997541 0.00072448316 0.004974157 0.0007370283 0.000733892 0.0046824818 0.0009032517 0.0007652549 0.0006993928 0.00069312024 0.0055825976 0.00064921216 0.0006680299 0.00064921216 0.0076023685 0.0046605277 0.0006460759 0.0046417103 0.0009597049 0.00078720896 0.0047640256 0.0007621186 0.0009440235 0.00065234845 0.000884434 0.004851842 0.0020699517 0.0013078332 0.0049616117 0.00088757026 0.0010851566 0.0009346146 0.000809163 0.00089070655 0.00403327 0.0009095243 0.0011259284 0.008866293 0.0012701977 0.00483616 0.004870659 0.00081543555 0.00092834205 0.0009910678 0.00475148 0.00093147834 0.0030453382 0.00083111704 0.004629165 0.00068998395 0.0009408872 0.000658621 0.004607211 0.0046981634 0.0017782768 0.00078720896 0.0007056654 0.004732663 0.004851842 0.0046573915 0.0006805751 0.00084993476 0.0016340074 0.0009785227 0.00069312024 0.0007370283 0.004911431 0.0046134833 0.0006429396 0.0007370283 0.0011290646 0.00067116617 0.0008656162 0.00072448316 0.00075584603 0.00095656863 0.000733892 0.0010412484 0.0011698364 0.0015399187 0.00085620733 0.0008373896 0.0010663389 0.0053034676 0.00058962265 0.0007056654 0.0009220695 0.0046448465 0.0009722501 0.005102745 0.0049020224 0.004610347 0.0011855179 0.0050337464 0.0019946808 0.000658621 0.004629165 0.0007370283 0.00091579685 0.0007025291 0.004629165 0.00069312024 0.0011478824 0.0005833501 0.0006993928 0.0046354374 0.0009440235 0.0010757477 0.0008593436 0.0011353372 0.005726867 0.0046009384 0.00078720896 0.0006335307 0.005209379 0.004271628 0.0009032517 0.0075678695 0.0011572912 0.0008217082 0.00059275894 0.0005990315 0.0009346146 0.0006993928 0.004735799 0.00068684766 0.0050023836 0.00063039444 0.00064921216 0.0005990315 0.0007652549 0.004669937 0.00062725815 0.0006021678 0.0007840727 0.00063039444 0.0006837114 0.004588393 0.0008750251 0.0006398033 0.0005457146 0.00064921216 0.0008373896 0.000658621 0.00062412187 0.0006398033 0.00071507425 0.0046824818 0.0046354374 0.00061471295 0.00075270975 0.00064921216 0.0006617573 0.004695027 0.0008718888 0.008627935 0.0005802138 0.0046134833 0.0010224307 0.0006021678 0.004691891 0.0006460759 0.0008342533 0.0046573915 0.0007213468 0.00062725815 0.0010067493 0.0005802138 0.00072761945 0.0045789843 0.0009597049 0.000809163 0.0047389353 0.00079348154 0.0007088017 0.00053003314 0.0008217082 0.0014646477 0.0047546164 0.004792252 0.004704436 0.0007088017 0.005212515 0.0046636644 0.004691891 0.004629165 0.0008373896 0.0008718888 0.0007056654 0.0048298878 0.0007746638 0.0006743025 0.000658621 0.0006460759 0.0006743025 0.00078720896 0.00072761945 0.0005425783 0.0007433009 0.0007025291 0.00062725815 0.00062412187 0.0006993928 0.0006993928 0.0046793455 0.000636667 0.00082484446 0.00072761945 0.0047389353 0.0006053041 0.0048392965 0.0008060267 0.0006962565 0.000658621 0.00074957346 0.004607211 0.00065548474 0.004585257 0.00078720896 0.0006774388 0.0007621186 0.0005582597 0.0007621186 0.0005833501 0.0047734343 0.0009471598 0.0008812977 0.00081543555 0.0007213468 0.00062412187 0.00072761945 0.0007056654 0.0008217082 0.0019225462 0.14186145 3.1502016e-06 6.300403e-06 4.7253025e-06 6.300403e-06 6.300403e-06 4.7253025e-06 9.450605e-06 4.7253025e-06 4.7253025e-06 3.1502016e-06 4.7253025e-06 7.875504e-06 1.5751008e-06 4.7253025e-06 1.5751008e-06 0.037238535 8.505544e-05 0.00010238155 0.00018901209 0.00010080645 9.135585e-05 7.402974e-05 0.00011813256 8.348034e-05 9.2930946e-05 8.0330145e-05 0.00012128276 0.00014963458 3.4652217e-05 9.923135e-05 4.8828126e-05 0.020953566 0.0001953125 9.2930946e-05 0.0001921623 0.00011025705 0.00010080645 0.00011655746 9.923135e-05 0.00010238155 9.2930946e-05 8.348034e-05 8.663054e-05 0.00011340726 5.985383e-05 9.765625e-05 8.348034e-05 0.02875819 0.000218939 0.00024414062 0.00023311492 0.00026619204 0.0002047631 0.00016381049 0.00026934224 0.00023469001 0.00026304185 0.00015278478 0.00028666834 0.000359123 0.00016696069 0.00024414062 0.0001921623 0.016253466 0.00014333417 0.0001811366 0.0001795615 0.00031817035 0.00023941533 0.00048828125 0.00033549647 0.00014963458 0.00028981853 0.00011970766 0.00016381049 0.00018586189 8.663054e-05 0.00012443296 9.608115e-05 0.038790006 0.0008820564 0.00069934473 0.0009623866 0.00068516884 0.0005418347 0.00086473033 0.00082850305 0.0005245086 0.00054656 0.00044890374 0.0006284652 0.0007371472 0.00033234627 0.0005686114 0.00034652217 0.029678049 0.0009466356 0.0006284652 0.0010726437 0.0006001134 0.00049930695 0.00044417844 0.00064894155 0.0005323841 0.0005339592 0.00045520414 0.00068359374 0.0007844002 0.00031186995 0.0005607359 0.00032919607 0.016358998 0.0004048009 0.00051505794 0.00048040575 0.00050403224 0.00042055192 0.00031502015 0.00050403224 0.00045205394 0.000359123 0.00030714466 0.00050245714 0.00065996725 0.00017011088 0.00045047884 0.0001764113 0.027934413 0.002767452 0.0011655746 0.0029328377 0.0011041457 0.00078125 0.0013341104 0.0011734501 0.0008741809 0.0007245464 0.000530809 0.00083165325 0.0011513986 0.0004016507 0.00074817287 0.0007056452 0.021126827 0.00084267894 0.0009513609 0.0026902722 0.0009608115 0.00083480345 0.00085527974 0.001061618 0.0007938508 0.00074659777 0.00067571824 0.0010112147 0.0011592741 0.00045992943 0.00086158013 0.00045205394 0.018173514 0.0008883569 0.0011025706 0.0010679184 0.0010679184 0.0008836315 0.00069146923 0.0012238533 0.00087103073 0.0009009577 0.0007245464 0.0012474798 0.0015719506 0.00037329888 0.0010899698 0.00037959928 0.031457912 0.0020082535 0.00234375 0.0038857737 0.002326424 0.0020366053 0.0016365297 0.0027107485 0.0019625756 0.0019988029 0.0016837828 0.0027075983 0.0034447454 0.0009954637 0.0023311493 0.0009860131 0.030120652 0.002391003 0.0028005291 0.0027737524 0.0027249244 0.0024256553 0.0019420993 0.0031801285 0.0024177798 0.002468183 0.0021626134 0.0030966483 0.003766066 0.0013404108 0.0027879283 0.001343561 0.031616997 0.0038211946 0.009244267 0.0043961066 0.006215348 0.0046087448 0.0038621472 0.004982044 0.010600428 0.0034967237 0.0027800528 0.004504788 0.006437437 0.0025689895 0.003985005 0.0033313383 0.021577306 0.0039739795 0.0063271797 0.004947392 0.0052891886 0.0041283392 0.004504788 0.005350617 0.0058830017 0.0033392138 0.0029501638 0.0042874245 0.0056042084 0.0022397933 0.0040102066 0.0026839718 0.016818926 0.011562815 0.013289126 0.013586819 0.013360005 0.011537613 0.009786101 0.015253277 0.011359627 0.011432081 0.009707347 0.015250126 0.018946888 0.005831023 0.013216671 0.0058357483 364.0 11.32967 4124.0 0.020368574 0.0046071773 0.0031522794 0.0036372454 0.012609118 0.0053346264 0.0031522794 0.0033947623 0.006304559 0.0038797285 0.0026673132 0.0050921435 0.008729389 0.0048496607 0.019398643 0.015033947 0.04655674 0.024975752 0.015518914 0.012851601 0.015276431 0.010669253 0.008971872 0.008971872 0.015033947 0.008729389 0.012124151 0.010669253 0.012851601 0.0094568385 0.009941804 0.009214355 0.008244423 0.016246364 0.0038797285 0.01842871 0.019641126 0.0055771098 0.0019398642 0.006304559 0.00800194 0.007032008 0.0026673132 0.006304559 0.009214355 0.009699321 0.0050921435 0.012609118 0.009214355 0.0036372454 0.008244423 0.010911737 0.008971872 0.0038797285 0.0029097963 0.0053346264 0.00800194 0.0033947623 0.0048496607 0.0031522794 0.008244423 0.0021823472 0.0036372454 0.0053346264 0.0075169737 0.012366635 0.0067895246 0.026915615 0.025218235 0.031765275 0.007759457 0.014306499 0.014548982 0.031765275 0.0026673132 0.0031522794 0.01770126 0.013336566 0.012124151 0.02400582 0.014064016 0.0029097963 0.028370515 0.018186226 0.0400097 0.006304559 0.0041222116 0.00800194 0.0094568385 0.0050921435 0.0038797285 0.0033947623 0.0065470417 0.0050921435 0.0026673132 0.0031522794 6.2043343 0.0 17.0 0.0 1.0 318848.0 315392.0 1.0 0.0 12.0 1.0 1.0 1.0 0.0 0.0 1416009000.0 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 8.0 0.0 5.0 0.0 5.0 0.0 20480.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -266240.0 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 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 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 -5.9550295 0.0 0.0 -6.0133934 0.0 0.0 0.0 0.0 0.0 4.325786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2906513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.06315 0.0 3.4574833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2152.0 0.0 0.0 -262380.0 0.0 0.0 0.0 0.0 0.0 676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19208.0 0.0 3312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29534.0 0.0 180.0 36944.0 3312.0 307200.0 0.0 0.0 7552.0 311296.0 2152.0 311296.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.1899451 0.02426733 0.014726118 0.0070282905 0.011948094 0.0064154733 0.005071467 0.0041060015 0.011737245 0.003356317 0.002948183 0.0026954112 0.00771509 0.0064672604 0.002024641 0.0135128135 0.006782917 0.01012937 0.0014192215 0.0013920948 0.0051639443 0.0053661615 0.0019025706 0.0017841994 0.004155323 0.0009913589 0.0009765625 0.0011948094 0.0035794962 0.0012268682 0.0008877841 0.00086065737 0.0064647943 0.00063994434 0.0012613932 0.0011121961 0.023850566 0.0011676827 0.0006535077 0.00068310054 0.0029666785 0.00074845133 0.00062021584 0.0023476956 0.0025647096 0.0011109632 0.0010468455 0.00054746686 0.002205897 0.0007287228 0.000919843 0.005117089 0.0018100931 0.0010012232 0.00069173175 0.00049937854 0.0021109532 0.0021060212 0.0009777956 0.004535097 0.002213295 0.0022145282 0.00095560093 0.000921076 0.003430299 0.0024907277 0.0017040522 0.0021269827 0.008832219 0.0054006865 0.0039296774 0.0024031822 0.0031146426 0.005198469 0.005300811 0.0020702633 0.011832189 0.0028951627 0.0013563368 0.0010456124 0.0077940044 0.004315617 0.0039025508 0.003914881 0.0036608763 0.003281102 0.0052601206 0.0037817135 0.0015819819 0.0014068912 0.00039703678 0.008441347 0.002352628 0.004599215 0.004022155 0.0035868944 0.0012774226 0.002875434 0.0008002387 0.0015338936 0.0041047684 0.0051022926 0.008187342 0.0008569583 0.005998708 0.002843375 0.008040612 0.00060172036 0.0035905933 0.0013008503 0.003027097 0.0030357284 0.002136847 0.001176314 0.0051639443 0.0028532394 0.015024513 0.012303208 0.0014340179 0.0014389501 0.0019112019 0.0014993687 0.00050677673 0.0007299558 0.0035215435 0.0021084873 0.0017114504 0.0014574456 0.005406852 0.0030628552 0.00060911855 0.020103378 0.006600428 0.012803819 0.0011664496 0.0007829762 0.0019728534 0.011986318 0.0017200817 0.034073647 0.0020542338 0.008786596 0.00055239897 0.00060541945 0.0012305673 0.0005289714 0.00046485363 0.00049198035 0.0022934421 0.00089394924 0.0012885199 0.00024044153 0.00082366634 0.000701596 0.00046978574 0.0006892657 0.0010591757 0.0004229305 0.0005228062 0.0012465968 0.0012564611 0.0014710089 0.00037607522 0.0008027048 0.00087915285 0.00047348486 0.00047101878 0.00022564513 0.00087052165 0.0003575797 0.00029222894 0.00032552084 0.0009851938 0.00028113162 0.0003945707 0.00034031723 0.0019728534 0.00026263614 0.00029716105 0.00038593946 0.0014451152 0.0004241635 0.0016078757 0.0032280816 0.0038828223 0.0012552281 0.00075338344 0.00054869987 0.0010924677 0.0004574554 0.0010468455 0.0007916075 0.0108248005 0.002982708 0.0035523693 0.0049370658 0.006937046 0.0009802616 0.0037151298 0.004644837 0.0017200817 0.0027176058 0.0007077612 0.0008396958 0.011669429 0.00062144885 0.000774345 0.0007817432 0.0018507832 0.001512932 0.0017558397 0.000700363 0.00088038587 0.0005240392 0.0010086214 0.00080517086 0.0019383286 0.0010480784 0.0006041864 0.0016473327 0.0013526377 0.00092600816 0.0005351365 0.0010567097 0.001992582 0.00094080454 0.0013883957 0.0006707702 0.0016497988 0.0022774127 0.0009469697 0.00049074733 0.012955482 0.0037755484 0.0005203401 0.00583718 0.0029037937 0.0005955552 0.0007595486 0.0004574554 0.0023834538 0.00075831555 0.000517874 0.00074475224 0.0012885199 0.0009173769 0.0030455927 0.001623905 0.004890211 0.0017274799 0.0012022076 0.0017040522 0.0023230352 0.0020554669 0.0034327651 0.029601434 0.0 0.0050550383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8518884e-06 0.0 0.0 0.0 0.0 0.0 0.0011370595 0.0 0.0 0.0 0.00012469382 0.0 0.0 0.0 0.0 0.0 2.4691847e-06 0.0 0.0 0.0 0.0 0.0032593235 8.827335e-05 0.0 0.0 0.0 0.00028272162 0.0 0.00016234888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004081562 0.0009123637 0.0 0.0 0.0 0.00045556456 0.0 0.0005771719 0.0 5.1852876e-05 0.0 2.4691847e-06 0.0 0.0 0.0 0.0002401282 0.0018420117 0.00010740953 8.950794e-05 0.0 0.0 0.000106792235 0.0 0.0003827236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011283556 0.000835819 0.00023518983 7.4075535e-05 0.00024321469 0.0011864431 0.00015494133 0.0008247077 5.247017e-05 0.00054754165 1.913618e-05 1.7901588e-05 1.6666996e-05 2.5926438e-05 0.00013580515 0.0007814969 0.013140383 0.0017475653 0.00010247116 4.9383692e-05 0.0005500109 0.0020753497 0.0017753437 0.0016666995 0.00013086679 0.0014913875 0.00045741643 2.0988069e-05 1.3580515e-05 0.00010987871 0.00019938666 0.00048951583 0.034687724 0.00079322554 0.003259941 0.000929648 0.0023765902 0.0028111667 0.008658196 0.0047896006 0.00026975843 0.00071544625 0.0005845794 3.3333992e-05 0.00015062025 0.0005388995 0.0007043349 0.0006438399 0.01801764 0.0005111212 0.00060062914 0.00041173652 0.0016870704 0.0017518864 0.0028463525 0.0015963279 0.00046667588 0.00058211025 0.00053457846 0.00072779215 0.00055865303 0.0009611301 0.00037222958 0.0012438517 0.009233516 0.0005333439 0.0008500168 0.00036050094 0.00189263 0.00129447 0.005659988 0.0029445025 0.00029938863 0.00012963219 0.00011666897 0.00010247116 0.000120990044 0.00012963219 0.00011358249 0.00023889361 0.006676058 0.00030617887 0.001588303 0.0008487822 0.0015636111 0.00092224043 0.003170433 0.0021870802 0.0002580298 0.0002253131 0.00013827434 0.00017407752 0.0001444473 0.00025062222 0.00013580515 0.00037408146 0.007243353 0.000525319 0.00063025934 0.00048519476 0.000702483 0.00069507543 0.0007703856 0.00074075535 0.0013815088 0.00015432404 0.00016913914 0.0003858101 0.0008500168 0.00029445026 0.00043828026 0.00096853764 0.02074115 0.0016092911 0.002563631 0.0017994182 0.0030531466 0.0028482045 0.0019315196 0.0020932513 0.007590891 0.0007506321 0.00053643034 0.001759294 0.0037210612 0.0008611281 0.0019815206 0.0043136654 0.11560784 0.018407153 0.02238501 0.013372486 0.028993165 0.025682606 0.016011428 0.020710286 0.06028946 0.005259363 0.0040883524 0.010078594 0.03037344 0.007824229 0.018654073 0.027041275 0.068057515 0.015287956 0.01546759 0.010580456 0.022070806 0.022109078 0.012017521 0.016231801 0.04168601 0.00347476 0.003168581 0.006150739 0.022519581 0.00716866 0.01547191 0.021950433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2472.0 11.546926 28544.0 0.035629205 0.0006306054 0.014679092 0.0012962444 0.039097533 0.0011210763 0.0017516816 0.0023472533 0.007322029 0.0030829597 0.0009809417 0.0027326234 0.008267937 0.0022071188 0.007251962 0.0020319507 0.0053601456 0.0020319507 0.0023122197 0.003993834 0.0050098095 0.0018217489 0.0015414798 0.0009459081 0.0049047084 0.0069716927 0.0029778588 0.006130886 0.0042390693 0.005815583 0.0020669843 0.002662556 0.006796525 0.0062359865 0.0031880606 0.01022982 0.0195838 0.0064461883 0.007987668 0.0077073993 0.0064111548 0.009143778 0.005990751 0.0030829597 0.013803251 0.005535314 0.0027326234 0.0041339686 0.024943946 0.014293722 0.017341647 0.015800169 0.013277747 0.008513173 0.011455998 0.018147422 0.0018567825 0.0030479261 0.0010159754 0.0038536997 0.004028868 0.025399383 0.0050798766 0.007742433 0.0028727578 0.031845573 0.0066213566 0.016255606 0.015800169 0.05805073 0.008933576 0.008057736 0.017972253 0.027116032 0.007917601 0.0028026905 0.024068106 0.012121636 0.030023823 0.030654429 0.012682175 0.0017867152 0.070838004 0.022526626 0.05034333 0.017972253 0.0069016255 0.0058856504 0.005990751 0.010825393 0.0012962444 0.00091087446 0.0034683296 0.0010510089 0.0012962444 0.0010860426 5.8464746 0.0 3.0 0.0 3.0 811008.0 847872.0 0.0 0.0 421.0 0.0 1.0 0.0 0.0 0.0 1452925700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 641536.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -641536.0 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 0.0 0.0 4.8463035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9877949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6270547 0.0 5.8052588 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143138.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -641041.0 0.0 12172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 1.0 0.0 -1.0 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 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 -4.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 3.0 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 -1.0 1.0 1.0 -1.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 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 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 -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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 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 -1.0 -1.0 -1.0 -2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 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 1.0 -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 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 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 780828.0 12172.0 835584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1756.0 647168.0 0.0 0.0 0.0 0.0


Input: 0.05666212 0.008299567 0.006173172 0.005655549 0.0057559675 0.0049588284 0.004188605 0.0054174424 0.005045789 0.0056286324 0.0037486257 0.0044670864 0.004962969 0.0031844166 0.0043242224 0.004647219 0.0050395774 0.003757943 0.0049215592 0.0041534067 0.004363562 0.003178205 0.004107856 0.003837657 0.0050706347 0.0033438446 0.0031637116 0.0029359576 0.0041544423 0.0034370166 0.0037890002 0.003796247 0.006178348 0.0038148814 0.003488779 0.0030239534 0.004893608 0.0041689356 0.0038480093 0.0037196388 0.0047248625 0.0038935603 0.0033241748 0.0030964208 0.004373914 0.0037320617 0.0037279208 0.0035840217 0.0055116494 0.0039546397 0.0030984913 0.0028986887 0.00368237 0.003076751 0.0026957805 0.00286142 0.0041730767 0.0033138224 0.0035125897 0.0033355625 0.004002261 0.0032227207 0.003506378 0.0034535807 0.006598658 0.003958781 0.0036202553 0.003227897 0.0041647945 0.0032216855 0.0035446822 0.0030705396 0.0050064498 0.0037765773 0.003708251 0.0035840217 0.004133737 0.0031305838 0.0035695282 0.0034680741 0.005166913 0.003631643 0.0036502774 0.0033303862 0.0039246175 0.0033831839 0.003362479 0.0035446822 0.00464929 0.0036544183 0.0038107405 0.0035053429 0.0041088914 0.0033821487 0.0036792643 0.0037858945 0.00591229 0.0036326782 0.0033448797 0.0029494157 0.0040105428 0.0030612224 0.00326206 0.0030394823 0.0049691806 0.003168888 0.0031947691 0.0030519052 0.0035788454 0.0028396798 0.0030829625 0.0031916634 0.0045095314 0.003282765 0.0032227207 0.0031419715 0.003888384 0.003329351 0.003291047 0.0036254313 0.0046140915 0.0033013995 0.003488779 0.0031637116 0.0040384945 0.0031895929 0.0034711799 0.0033397037 0.008646375 0.0045985626 0.00401779 0.003522942 0.0043625263 0.003443228 0.0030167068 0.0033852544 0.0045416243 0.0038314455 0.0029680503 0.0031823462 0.003728956 0.0028044814 0.0028552085 0.0029887552 0.0052259215 0.0032092626 0.0034939551 0.0030146362 0.003657524 0.0031802757 0.0033065756 0.0032693068 0.0045426595 0.002840715 0.003042588 0.0027040625 0.003522942 0.0032392847 0.0029866847 0.0031512887 0.0050012735 0.0034111356 0.0032755183 0.0028013757 0.0037765773 0.0030208477 0.0030581167 0.0031823462 0.004136843 0.0029949667 0.0031171257 0.0030146362 0.0036461363 0.0028386444 0.0029183584 0.003034306 0.004672065 0.0031212666 0.0038449035 0.0028500322 0.0035571053 0.0031585356 0.002983579 0.0031202314 0.004254861 0.0031533593 0.0033365977 0.0031657822 0.003652348 0.0031916634 0.003329351 0.0033448797 0.0067208167 0.004060235 0.003720674 0.0033324568 0.004120279 0.0032599897 0.0033013995 0.0032351436 0.0043376805 0.0033397037 0.0031088437 0.0030726101 0.003635784 0.0029856495 0.0030860682 0.0028055166 0.0042558964 0.0032775889 0.0030902093 0.002984614 0.003715498 0.0030073896 0.002933887 0.0029483805 0.00397638 0.0031150552 0.0027340846 0.0026398774 0.0035332947 0.0029452748 0.0035788454 0.00288316 0.004948476 0.003236179 0.0033852544 0.0029773675 0.0037993528 0.0030726101 0.003211333 0.0029090412 0.0044588046 0.0054567815 0.003472215 0.0031336895 0.0037765773 0.0030705396 0.0032351436 0.0031823462 0.004606845 0.0033272805 0.0034235585 0.0030405174 0.0037475904 0.0030871036 0.0033107167 0.0032392847 0.0043490683 0.0030353412 0.003190628 0.00286142 0.0040115784 0.0030995265 0.004234156 0.0045136726 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919988 0.062015865 0.062478747 0.055305887 0.0606578 0.05955891 0.054957557 0.054462537 0.060477417 0.05316201 0.05213154 0.052931346 0.05644158 0.050537627 0.056629222 0.05385037 4033.0 5.7022066 22997.0 0.01713267 0.010523112 0.009349045 0.008696786 0.013480019 0.012479888 0.011871113 0.011349306 0.012653825 0.009740401 0.008435883 0.008696786 0.013914859 0.010610079 0.011784146 0.009914337 0.016741315 0.011871113 0.0087402705 0.0074792365 0.009914337 0.00852285 0.007914076 0.008392399 0.010262208 0.008435883 0.009522981 0.008870723 0.011479759 0.009131626 0.009696917 0.009131626 0.018045831 0.010914467 0.01039266 0.009044658 0.010827499 0.008827238 0.010653564 0.008348915 0.01426273 0.01161021 0.009740401 0.008914206 0.011436274 0.009349045 0.011653694 0.009566465 0.014741053 0.009609949 0.009914337 0.009044658 0.012045049 0.009479498 0.009566465 0.009870852 0.013697439 0.009218594 0.010436144 0.009566465 0.011088403 0.0097838845 0.01039266 0.010653564 0.017915381 0.011001435 0.009696917 0.0082184635 0.013088664 0.008261947 0.009436013 0.008305431 0.015393312 0.0092620775 0.008870723 0.008696786 0.011305822 0.008001043 0.00995782 0.007870592 0.013219115 0.008001043 0.008696786 0.008827238 0.011392791 0.009522981 0.008261947 0.007914076 0.010914467 0.009044658 0.012001566 0.008479367 0.011349306 0.008914206 0.010001305 0.0087402705 6.554771 0.0 0.0 0.0 14.0 965954.0 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: 0.124392524 0.01337864 0.006582689 0.0063513317 0.012534639 0.0042652413 0.004271704 0.0030515862 0.016770152 0.005622363 0.008664902 0.001990446 0.008101373 0.0023717326 0.0015225619 0.021149134 0.026350142 0.0035427352 0.001223995 0.0014592295 0.005116997 0.0025475123 0.0015548742 0.0010598478 0.0035078377 0.0014527669 0.00080005586 0.000969373 0.002481595 0.0011102551 0.00089957815 0.001481202 0.005070467 0.0007806684 0.0012666474 0.0013092997 0.004151501 0.0013377347 0.0008026408 0.0007651584 0.0028422016 0.00070053356 0.00079359335 0.0032726033 0.0019193585 0.001938746 0.0013571222 0.0009861755 0.0056520905 0.0027271693 0.0026263546 0.0071927477 0.0028460792 0.001985276 0.0016776616 0.0018560261 0.0030851911 0.002666422 0.0020757506 0.005496991 0.0035323952 0.0030218586 0.002221803 0.004939925 0.005777463 0.0046891803 0.0023342501 0.0023187401 0.002357515 0.015467315 0.004260071 0.0019477934 0.002640572 0.0016194992 0.0013532446 0.0007431859 0.0014915419 0.007943689 0.0015380718 0.00082590576 0.008879457 0.003069681 0.0011322276 0.003313963 0.0018508561 0.007212135 0.005146724 0.0039511644 0.0030787287 0.0062724897 0.0009396456 0.0018159588 0.001673784 0.0069769006 0.0038141597 0.002601797 0.0013752171 0.0023704402 0.00088665314 0.0017397014 0.0028008416 0.0037430723 0.006404324 0.0009887605 0.0030089337 0.0021739805 0.0054517537 0.00083236827 0.0018082038 0.0012588924 0.0019762283 0.0022722103 0.0023432977 0.00072509097 0.0036784473 0.0030632187 0.010638545 0.013956386 0.001930991 0.0015432418 0.001437257 0.0013493672 0.0007703284 0.000704411 0.0020912606 0.0032919906 0.0015471192 0.0018288837 0.0034083154 0.0018327612 0.0013080073 0.017143684 0.0038955868 0.008991904 0.00121107 0.00079747086 0.0021739805 0.0123407645 0.0017901087 0.043672193 0.000974543 0.013127895 0.0008155658 0.0006178137 0.0013028373 0.00054672634 0.00045108155 0.000966788 0.0010727728 0.00093318307 0.0004976115 0.00041359913 0.0010016854 0.0008440007 0.00062169123 0.00055189634 0.0009680805 0.00075094093 0.00055835885 0.0010624328 0.0022437754 0.001699634 0.0005363864 0.0010391679 0.0010624328 0.000732846 0.0005273389 0.00052087643 0.0015509968 0.0005118289 0.0004355716 0.00055965135 0.000964203 0.00044720407 0.0005661138 0.00048856396 0.0020356833 0.00055706635 0.0005428489 0.00054801884 0.0011671251 0.00083107577 0.0017849387 0.001671199 0.0028577116 0.0010598478 0.00093189056 0.00080005586 0.0016518115 0.0012886198 0.001213655 0.0013532446 0.009685975 0.005517671 0.0044797957 0.007558524 0.004660745 0.0012123624 0.003594435 0.005437536 0.0042665335 0.0026858095 0.0016569815 0.0015083443 0.015581056 0.0008685582 0.0020460233 0.0014385495 0.0027827467 0.0016130366 0.001887046 0.0018082038 0.0013726321 0.00064883364 0.0013765097 0.0008375383 0.0025862872 0.0013648772 0.00082202826 0.0015264393 0.0015212693 0.0012937898 0.0006720986 0.0008207358 0.003064511 0.0010275354 0.00085821823 0.00074706343 0.0018741211 0.0022567003 0.0007444784 0.00065529614 0.018063942 0.003864567 0.00079359335 0.0057218857 0.007394377 0.0005441414 0.0009060406 0.0012317499 0.0060695675 0.0025914572 0.0049786996 0.0030864836 0.003033491 0.0013778021 0.0035660001 0.0025824097 0.0058873254 0.003288113 0.0018767061 0.0018650736 0.0071694828 0.0022579927 0.004292384 0.051862746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001189619 9.06623e-06 6.4758788e-06 1.2951757e-06 3.8855273e-06 1.2951757e-06 1.9427637e-06 2.4608338e-05 1.42469335e-05 6.4758785e-07 0.0 6.4758785e-07 2.5903514e-06 0.0 1.9427637e-06 6.799673e-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 0.005281079 0.00035811609 0.00016902044 1.9427636e-05 0.00018521013 4.9216676e-05 0.0005064137 0.00019298118 1.9427636e-05 8.807195e-05 0.0001120327 6.0225673e-05 1.4894521e-05 3.108422e-05 8.0300895e-05 0.0007900572 0.0209404 0.002214103 0.0007900572 0.00013793622 0.0005931905 0.00030695664 0.0005659918 0.00047079637 0.00023507439 0.00066507276 0.00026356825 0.0002771676 0.0002661586 0.0004008569 0.0003192608 0.0033836465 0.008498295 0.0011280981 0.00059901876 0.00043453145 0.0006223319 0.00020463776 0.0018916042 0.0011922093 5.180703e-05 8.9367124e-05 4.6626326e-05 0.00014700244 6.0225673e-05 0.00011332788 0.00018391495 0.000652121 0.009746198 0.0014706721 0.000928641 0.0010924807 0.000988219 0.0004986427 0.0029510579 0.0014842714 0.00014700244 0.00016448731 0.00018067702 0.000191686 0.00023183646 0.00019427636 0.00030112837 0.00064888305 0.008726894 0.0013256123 0.0010419688 0.0006825576 0.0009137465 0.00061650365 0.0027632574 0.0017271169 0.00019362877 0.00021435159 0.00013599345 0.0002188847 0.00025968274 0.00021499918 0.00021564675 0.0006430547 0.010277867 0.0018236075 0.0015425542 0.016510252 0.002449825 0.0019388781 0.0029309827 0.002479614 0.0015678102 0.0011585347 0.0012135797 0.0013657628 0.0019460015 0.0012232935 0.0012757481 0.0020198266 0.018605199 0.0039982074 0.0021279738 0.0032774422 0.0038609188 0.0033978936 0.0020826426 0.0021389828 0.007323571 0.0009383548 0.000832798 0.0012563205 0.0071985866 0.0011786099 0.0024822042 0.008265812 0.096094914 0.024605101 0.010995395 0.014318815 0.026306314 0.030255953 0.0116514005 0.019667244 0.059582617 0.0037054978 0.004732572 0.007341056 0.03908063 0.008395329 0.023787845 0.050513797 0.05689966 0.017024437 0.009245612 0.0141608035 0.01978381 0.022877984 0.011400784 0.019640045 0.04349265 0.0040292917 0.0048484905 0.0075605884 0.021858681 0.009661363 0.019803885 0.037340563 0.0045208107 0.0016183221 0.0017957612 0.0029322777 0.0016371021 0.0015911234 0.002237416 0.0018747669 0.0016390448 0.001459663 0.001506937 0.0018592248 0.0013748291 0.0015056417 0.0013489255 0.0016021323 2485.0 13.463179 33456.0 0.029710665 0.0014048303 0.0018232903 0.0021520804 0.011686992 0.0027498805 0.0020026304 0.0031683405 0.004513391 0.0022417502 0.0012254902 0.0031982304 0.0044536106 0.0041547106 0.011238642 0.006874701 0.027498804 0.021192014 0.016349833 0.014347202 0.015572692 0.0113582015 0.0109397415 0.011627212 0.015124342 0.012912482 0.014885223 0.013420613 0.015004782 0.013002152 0.009564801 0.018203013 0.021281684 0.010431612 0.0024509805 0.008877331 0.0092659015 0.004094931 0.006037781 0.004393831 0.005021521 0.004692731 0.0017635103 0.0015841703 0.005021521 0.004812291 0.0035868005 0.0019727403 0.014436873 0.0028096605 0.004304161 0.011388091 0.007861071 0.006486131 0.0092659015 0.0080105215 0.006545911 0.0022417502 0.0042443806 0.0027498805 0.0037661407 0.0017934003 0.0032879005 0.010610952 0.0051709707 0.028604735 0.006635581 0.024210904 0.020713773 0.04489479 0.010341941 0.009176232 0.010969631 0.028544955 0.0071138213 0.0029591105 0.017186753 0.013480392 0.022507174 0.034194164 0.015154232 0.0012553802 0.038827118 0.027678145 0.04967719 0.014137972 0.005350311 0.006456241 0.007054041 0.007143711 0.0020624103 0.0011956001 0.0034971305 0.0010162601 0.0016439502 0.0024509805 6.052943 3.0 51.0 0.0 9.0 773696.0 753664.0 1.0 14.0 92.0 1.0 1.0 1.0 0.0 0.0 1536290000.0 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 0.0 0.0 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 14.0 6.0 0.0 6.0 0.0 580096.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 118272.0 0.0 0.0 0.0 0.0 0.0 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 -580096.0 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 -6.677843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.468603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1019645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6926517 0.0 3.0368023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 118122.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -580047.0 0.0 4032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 496.0 701120.0 80.0 701616.0 4032.0 724992.0 0.0 0.0 33344.0 740352.0 24564.0 729088.0 84.0 666160.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 666248.0 0.0 0.0 380.0 585728.0 0.0 0.0 0.0 0.0


Input: 0.32008713 0.008263221 0.004281851 0.005934495 0.0120943505 0.0041316105 0.0029296875 0.002704327 0.005033053 0.0017277644 0.0024038462 0.0011268029 0.003155048 0.0020282452 0.00067608175 0.018554688 0.006986178 0.0026292067 0.00067608175 0.00022536058 0.001953125 0.003155048 0.00067608175 0.0005258414 0.002779447 0.0008263221 0.00075120194 0.0009765625 0.0018028846 0.00060096156 0.00015024039 0.0011268029 0.0045072115 0.0009014423 0.00037560097 0.00030048078 0.022911659 0.0036057692 7.5120195e-05 0.00015024039 0.0018780048 0.00060096156 0.00037560097 0.0016526442 0.0008263221 0.0036808895 0.0038311298 0.00060096156 0.0092397835 0.0060847355 0.0038311298 0.005784255 0.0017277644 0.003079928 0.0028545673 0.0048076925 0.0036808895 0.003155048 0.0022536058 0.008263221 0.0024038462 0.0022536058 0.0009014423 0.0008263221 0.023212139 0.0034555288 0.001953125 0.0040564905 0.0084885815 0.005483774 0.0009765625 0.0009014423 0.0033052885 0.001953125 0.0011268029 0.00067608175 0.0052584135 0.0013521635 0.00045072116 0.00037560097 0.005558894 0.0011268029 0.001953125 0.0017277644 0.005033053 0.0018028846 0.0021033655 0.0018028846 0.0033804087 0.0037560095 0.00398137 0.0011268029 0.0024789663 0.0018780048 0.001577524 0.0072115385 0.001577524 0.0063852165 0.001577524 0.0037560095 0.005108173 0.0105919475 0.0060096155 0.0017277644 0.005108173 0.0064603365 0.004281851 0.0005258414 0.0064603365 0.0032301683 0.0060847355 0.0045072115 0.0038311298 7.5120195e-05 0.007361779 0.004657452 0.0134465145 0.00773738 0.0012770433 0.001577524 0.0033052885 0.0010516827 0.0009014423 7.5120195e-05 0.0034555288 0.00067608175 0.0010516827 0.00022536058 0.001577524 0.0011268029 0.00060096156 0.010066106 0.0053335335 0.004657452 0.0005258414 0.00022536058 0.0020282452 0.013221154 0.0014272836 0.020808293 0.003530649 0.005558894 0.001577524 0.00037560097 0.0015024039 7.5120195e-05 0.00037560097 0.00030048078 0.0021033655 0.00037560097 0.00037560097 0.00022536058 0.00060096156 0.0009014423 0.0 0.00022536058 0.00075120194 0.00045072116 0.00015024039 0.0 0.0012770433 0.0020282452 0.00030048078 0.0008263221 0.00060096156 0.0005258414 0.00030048078 7.5120195e-05 0.00075120194 0.00045072116 7.5120195e-05 0.00030048078 0.0005258414 7.5120195e-05 0.00015024039 0.0015024039 0.0009765625 0.00030048078 0.00015024039 0.00037560097 0.0012019231 0.00022536058 0.00037560097 0.00022536058 0.0018780048 0.0014272836 0.00037560097 0.0005258414 0.0009014423 0.00067608175 0.00037560097 0.00045072116 0.010817308 0.0033052885 0.0024038462 0.0051832935 0.00398137 0.00037560097 0.0011268029 0.002328726 0.0036808895 0.0013521635 0.00075120194 0.00067608175 0.0075871395 0.0010516827 0.0008263221 0.0011268029 0.0021784855 0.0018028846 0.0005258414 0.00060096156 0.0005258414 0.00060096156 0.0022536058 0.00067608175 0.0014272836 0.00060096156 0.00022536058 0.0014272836 0.0008263221 0.00045072116 0.00022536058 0.00015024039 0.002328726 0.0008263221 0.00022536058 0.0012770433 0.0018028846 0.0009014423 0.0008263221 0.0005258414 0.009915865 0.0013521635 0.00030048078 0.0011268029 0.0029296875 0.00015024039 0.00037560097 0.00037560097 0.0018780048 0.00045072116 0.0049579325 0.005033053 0.0009014423 7.5120195e-05 0.0014272836 0.0008263221 0.0029296875 0.00067608175 0.00022536058 0.00067608175 0.0030048077 0.0016526442 0.0024038462 0.023287259 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049926758 0.0006510417 0.0013020834 0.010253906 0.0021972656 0.0015869141 0.00789388 0.0044759116 0.0006510417 0.0007324219 0.00044759116 0.00069173175 0.00081380206 0.0005289714 0.00056966144 0.00061035156 0.08630371 0.0018310547 0.006632487 0.008951823 0.005533854 0.0076497397 0.02775065 0.014933269 0.0005289714 0.00036621094 0.00036621094 0.00040690103 0.0017496744 0.00061035156 0.0008544922 0.0021972656 0.07963053 0.0032145183 0.006551107 0.008382161 0.007975261 0.008463542 0.019897461 0.010782878 0.0037434895 0.00048828125 0.0006510417 0.0008951823 0.0032958984 0.0021158855 0.0061442056 0.004435221 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03458659 0.0032145183 0.005004883 0.0047200522 0.00390625 0.0036214192 0.005167643 0.003092448 0.0057779946 0.0005289714 0.00044759116 0.0006510417 0.0052490234 0.0010579427 0.0013427734 0.004964193 0.06429037 0.00777181 0.015380859 0.009847005 0.022989908 0.013753255 0.008178711 0.009602864 0.03507487 0.0031738281 0.004231771 0.003540039 0.019165039 0.005126953 0.008585612 0.01928711 0.058186848 0.0100911455 0.013509114 0.013834636 0.024291992 0.014526367 0.008219401 0.010579427 0.032145184 0.0029703777 0.00394694 0.0041097007 0.01924642 0.004679362 0.0072021484 0.022460938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130.0 13.3 1729.0 0.019664546 0.000578369 0.001156738 0.000578369 0.024869867 0.002313476 0.000578369 0.0 0.002313476 0.002313476 0.000578369 0.001156738 0.000578369 0.025448237 0.026026605 0.000578369 0.006940428 0.015615963 0.004626952 0.009253904 0.003470214 0.006362059 0.007518797 0.002891845 0.002891845 0.005205321 0.002891845 0.013302487 0.006940428 0.004626952 0.002891845 0.000578369 0.002891845 0.008097166 0.000578369 0.013302487 0.010410642 0.003470214 0.002313476 0.003470214 0.002313476 0.007518797 0.001156738 0.000578369 0.004048583 0.001735107 0.001735107 0.001156738 0.00578369 0.001156738 0.008097166 0.002313476 0.014459225 0.001735107 0.001156738 0.001156738 0.008097166 0.000578369 0.00578369 0.000578369 0.004048583 0.0 0.001156738 0.050318103 0.003470214 0.047426257 0.006940428 0.027761713 0.02834008 0.075187966 0.015615963 0.010989011 0.012145749 0.046847887 0.0 0.001156738 0.03528051 0.020821285 0.04164257 0.03412377 0.016194332 0.000578369 0.053788316 0.030653557 0.06593407 0.013880856 0.005205321 0.008097166 0.010989011 0.004048583 0.005205321 0.0 0.0 0.0 0.001735107 0.0 5.472931 0.0 0.0 0.0 3.0 13312.0 28672.0 1.0 0.0 50.0 1.0 0.0 0.0 0.0 0.0 1510533600.0 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 0.0 0.0 0.0 0.0 0.0 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 -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 7680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 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 3072.0 0.0 0.0 0.0 0.0 0.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2703214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.827952 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.32101402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9701514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2962.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7320.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 13668.0 0.0 0.0 0.0 0.0 0.0 0.0 480.0 24576.0 28.0 12880.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12912.0 0.0 0.0 232.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.2020495 0.022718484 0.008894045 0.013534416 0.012374323 0.00725058 0.017691415 0.004543697 0.004350348 0.0060904874 0.005800464 0.0038669761 0.0031902553 0.005993813 0.003383604 0.0027068832 0.0032869296 0.0025135344 0.0018368136 0.008410673 0.0028035576 0.0029969064 0.0029969064 0.0023201855 0.0023201855 0.0022235112 0.002126837 0.00096674403 0.00241686 0.004253674 0.0020301624 0.0019334881 0.010344161 0.0025135344 0.0023201855 0.0035769527 0.0029969064 0.002610209 0.0015467904 0.0022235112 0.002126837 0.0010634185 0.0040603247 0.004350348 0.0022235112 0.0036736273 0.011890952 0.006767208 0.026392112 0.010150812 0.003383604 0.0038669761 0.002900232 0.0022235112 0.0011600928 0.0029969064 0.00241686 0.0023201855 0.0031902553 0.0010634185 0.0013534416 0.0017401392 0.0012567672 0.0013534416 0.00241686 0.004350348 0.0022235112 0.006767208 0.004350348 0.0023201855 0.0025135344 0.0018368136 0.004350348 0.0044470225 0.0018368136 0.0018368136 0.0019334881 0.0034802784 0.002126837 0.0020301624 0.0038669761 0.0016434648 0.0030935807 0.006477185 0.002610209 0.008797371 0.0019334881 0.0015467904 0.0025135344 0.0016434648 0.0023201855 0.0012567672 0.0016434648 0.0005800464 0.0012567672 0.0019334881 0.001450116 0.009087394 0.0018368136 0.012664346 0.0074439286 0.014597834 0.005220418 0.006283836 0.004543697 0.017208043 0.0013534416 0.002126837 0.0070572314 0.009280742 0.009764114 0.017981438 0.0061871614 0.0018368136 0.017884765 0.011600928 0.017304718 0.0066705337 0.0018368136 0.0044470225 0.0017401392 0.0022235112 0.0011600928 0.0015467904 0.00096674403 0.0010634185 0.0013534416 0.0010634185 0.0029969064 0.0027068832 0.0070572314 0.0012567672 0.001450116 0.0011600928 0.0076372777 0.0010634185 0.0012567672 0.001450116 0.0011600928 0.0012567672 0.001450116 0.001450116 0.0015467904 0.0020301624 0.001450116 0.0015467904 0.0018368136 0.0019334881 0.0011600928 0.0013534416 0.0011600928 0.0016434648 0.001450116 0.0016434648 0.0017401392 0.0016434648 0.0008700696 0.0018368136 0.0010634185 0.0017401392 0.0032869296 0.0027068832 0.0013534416 0.0022235112 0.001450116 0.0016434648 0.0010634185 0.0013534416 0.0013534416 0.0007733952 0.0010634185 0.0013534416 0.001450116 0.0013534416 0.0011600928 0.0020301624 0.0019334881 0.0016434648 0.001450116 0.002126837 0.0012567672 0.00096674403 0.0011600928 0.0006767208 0.001450116 0.0007733952 0.00096674403 0.0020301624 0.0013534416 0.0016434648 0.0008700696 0.0012567672 0.0018368136 0.0013534416 0.0017401392 0.00096674403 0.0012567672 0.0018368136 0.0012567672 0.0007733952 0.001450116 0.0008700696 0.00096674403 0.0017401392 0.0016434648 0.0016434648 0.0020301624 0.0015467904 0.0018368136 0.0013534416 0.00096674403 0.00096674403 0.0015467904 0.0008700696 0.0006767208 0.0010634185 0.0005800464 0.0010634185 0.0012567672 0.001450116 0.00096674403 0.0019334881 0.0010634185 0.0013534416 0.0006767208 0.001450116 0.0012567672 0.0013534416 0.0022235112 0.0016434648 0.0019334881 0.0015467904 0.0020301624 0.0018368136 0.0017401392 0.0010634185 0.00096674403 0.0008700696 0.0017401392 0.0016434648 0.0011600928 0.001450116 0.0013534416 0.0011600928 0.0015467904 0.0017401392 0.0010634185 0.0031902553 0.0013534416 0.0019334881 0.0015467904 0.0013534416 0.001450116 0.0015467904 0.0010634185 0.00241686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.069878474 0.0026041667 0.0031467015 0.0059136283 0.0036349827 0.0034722222 0.013888889 0.005533854 0.001030816 0.00016276042 0.00054253475 0.0003797743 0.00021701389 0.000108506945 0.00021701389 0.0003797743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05343967 0.000922309 0.0053710938 0.0033637153 0.0044487845 0.0039605033 0.016710069 0.008734809 0.002875434 0.0018988715 0.0017361111 0.0013020834 0.0011393229 0.0009765625 0.0026584202 0.0015733507 0.05230035 0.001030816 0.0061306423 0.002983941 0.0047200522 0.0041775173 0.014594184 0.009928386 0.002875434 0.002061632 0.0017361111 0.0015733507 0.0014105903 0.0011393229 0.0028211805 0.0016276041 0.0437283 0.0054796007 0.005750868 0.009331597 0.0049370658 0.0046657985 0.011013455 0.0068901908 0.0039605033 0.0022786458 0.002061632 0.002061632 0.0022786458 0.0021158855 0.001953125 0.0026041667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.057454426 0.020562066 0.027289497 0.031467013 0.020236544 0.0150824655 0.046440974 0.030815972 0.015028212 0.010253906 0.0109592015 0.00938585 0.0100911455 0.008517795 0.0079210065 0.0118272565 0.039930556 0.015407986 0.017469618 0.01654731 0.011121962 0.0113932295 0.026367188 0.018337674 0.011555989 0.008192275 0.0087890625 0.0074327257 0.007378472 0.0060221353 0.0083550345 0.0079210065 107.0 20.392523 2182.0 0.032538954 0.0018331805 0.00045829514 0.0027497709 0.003666361 0.0013748854 0.0009165903 0.0022914757 0.0022914757 0.00045829514 0.0009165903 0.0013748854 0.0027497709 0.0077910176 0.037121907 0.026122823 0.04812099 0.027956003 0.010082494 0.007332722 0.0054995418 0.0041246563 0.0009165903 0.0059578368 0.0059578368 0.003666361 0.0077910176 0.0 0.0009165903 0.0022914757 0.0009165903 0.0009165903 0.00045829514 0.015582035 0.0009165903 0.023373052 0.013290559 0.0022914757 0.0013748854 0.0009165903 0.0045829513 0.010082494 0.0022914757 0.0009165903 0.0013748854 0.0077910176 0.0022914757 0.0027497709 0.0059578368 0.00045829514 0.008249313 0.01420715 0.0054995418 0.00045829514 0.0018331805 0.0018331805 0.003666361 0.00045829514 0.0054995418 0.0009165903 0.0 0.0 0.00045829514 0.0009165903 0.00045829514 0.020623282 0.0022914757 0.05087076 0.021539873 0.045829516 0.012373969 0.019248396 0.012832264 0.06049496 0.0 0.0027497709 0.015582035 0.027956003 0.024747938 0.06278644 0.01787351 0.0022914757 0.060953256 0.039871678 0.06141155 0.01604033 0.0022914757 0.012373969 0.0013748854 0.0022914757 0.0013748854 0.0013748854 0.00045829514 0.0013748854 0.0 0.00045829514 5.3888764 0.0 14.0 0.0 1.0 10344.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1520961400.0 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 11.0 0.0 4.0 0.0 4.0 0.0 1536.0 512.0 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 -1536.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6823044 0.0 3.311858 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 -1492.0 0.0 1000.0 0.0 0.0 0.0 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 87.0 9588.0 1000.0 16384.0 0.0 0.0 6760.0 3584.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0