Input: 0.2735767 0.016541721 0.006546067 0.0067090397 0.01148957 0.0061386353 0.0068720123 0.0026347241 0.0045089093 0.0024174273 0.0032051282 0.002091482 0.0019828335 0.0035310735 0.0016840504 0.0067362017 0.003177966 0.0012766189 0.0012494568 0.0026347241 0.0020643198 0.0045632333 0.002145806 0.0013309431 0.0028248588 0.0012766189 0.0010864842 0.0011136462 0.0011951325 0.0020371578 0.00089634943 0.0010864842 0.009452412 0.00059756625 0.0022544547 0.0005432421 0.011217949 0.0025260756 0.0007333768 0.0010864842 0.0024717513 0.0021729684 0.0018741852 0.0019013472 0.000787701 0.0035310735 0.0038298566 0.0025803999 0.010919166 0.0061657974 0.0035039114 0.0034495872 0.0021729684 0.002118644 0.0014395915 0.0013309431 0.003177966 0.002390265 0.0016568883 0.0011951325 0.0022001304 0.0018741852 0.0016025641 0.0025532378 0.01148957 0.007822686 0.0012222946 0.0033137766 0.007116471 0.004291612 0.0017112126 0.0027705345 0.038678836 0.006573229 0.00089634943 0.0008420252 0.005513907 0.0024445893 0.0027433725 0.0013581052 0.0060843113 0.0008691873 0.0013309431 0.0035853977 0.0019285093 0.0041014776 0.002091482 0.002933507 0.0032866145 0.00046175576 0.0017112126 0.0012494568 0.0017383746 0.0011951325 0.001847023 0.006600391 0.0035853977 0.008583224 0.0028248588 0.008230117 0.006600391 0.012711864 0.004454585 0.004454585 0.0046175574 0.010783355 0.0012494568 0.0010049979 0.005758366 0.0051064757 0.007388092 0.0067633637 0.0060571493 0.001059322 0.009099305 0.009669709 0.014939157 0.004671882 0.001575402 0.0026890482 0.0022816167 0.0022544547 0.00081486313 0.0006790526 0.0009506736 0.00043459365 0.00059756625 0.0012494568 0.002145806 0.002091482 0.002335941 0.007388092 0.0056497175 0.004237288 0.0026347241 0.00059756625 0.0011679705 0.012739027 0.0008691873 0.013146458 0.0018741852 0.006518905 0.0008691873 0.00051607995 0.002390265 0.00038026946 0.00081486313 0.00043459365 0.0010864842 0.00046175576 0.00057040417 0.00043459365 0.0011951325 0.0006247284 0.00051607995 0.00032594524 0.0008420252 0.00057040417 0.00048891787 0.00057040417 0.0017655367 0.0014395915 0.00089634943 0.000787701 0.0006247284 0.0008691873 0.00057040417 0.0007062147 0.00089634943 0.0005432421 0.0012494568 0.00046175576 0.0010049979 0.00046175576 0.0007333768 0.0005432421 0.0011679705 0.0006790526 0.00065189047 0.0007062147 0.0013037809 0.00046175576 0.0005432421 0.0007333768 0.0016840504 0.0010321599 0.0011951325 0.0006247284 0.00089634943 0.00040743157 0.00057040417 0.00065189047 0.005568231 0.0024174273 0.001847023 0.0030149934 0.0020099957 0.0011136462 0.0013309431 0.0027705345 0.002118644 0.0020099957 0.0007062147 0.0010864842 0.023956975 0.0006247284 0.0010321599 0.0007333768 0.0015482398 0.0012766189 0.0011408083 0.00059756625 0.0005432421 0.00048891787 0.00051607995 0.0009235115 0.0014395915 0.0009506736 0.0005432421 0.0009235115 0.00057040417 0.0007062147 0.00043459365 0.0007605389 0.0016568883 0.00059756625 0.0007333768 0.00038026946 0.0007605389 0.0006247284 0.00065189047 0.0006790526 0.005568231 0.0024717513 0.0013037809 0.002145806 0.0020371578 0.0007605389 0.00046175576 0.00065189047 0.0022001304 0.0014395915 0.0014124294 0.0011408083 0.0007333768 0.00065189047 0.0011679705 0.0015210778 0.002335941 0.0015210778 0.0013581052 0.0006790526 0.0005432421 0.00046175576 0.0013852672 0.016025642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02448587 0.0002154182 0.00027286305 0.00041647517 0.0006606158 0.0004308364 0.0016084559 0.0005600873 0.00018669578 5.7444853e-05 1.4361213e-05 7.180607e-05 7.180607e-05 1.4361213e-05 0.00015797335 0.00018669578 0.024083754 0.00034466913 0.00030158547 0.0010914522 0.00068933825 0.00022977941 0.0012350644 0.00018669578 0.0002154182 0.00018669578 0.000100528494 0.00018669578 0.00017233456 0.000100528494 0.00015797335 0.00012925093 0.043586284 0.00060317095 0.0013355928 0.0021685432 0.0014935662 0.0011345359 0.004581227 0.0016371784 0.00022977941 0.00027286305 0.00014361214 0.00022977941 0.0003159467 0.00022977941 0.00028722428 0.00057444855 0.04181985 0.00045955883 0.0007755055 0.0007324219 0.0014648438 0.0031163832 0.005299288 0.0017807904 0.0004308364 0.0004451976 0.00037339155 0.00034466913 0.00047392002 0.0003159467 0.00038775275 0.00060317095 0.017219095 0.00027286305 0.00012925093 0.00022977941 0.00091911765 0.0012063419 0.0057588466 0.0022690718 0.00020105699 0.00015797335 0.0002154182 0.00012925093 0.0002154182 0.00018669578 0.000114889706 0.00018669578 0.0272145 0.0011201747 0.0028722426 0.0020823758 0.0022690718 0.0010196462 0.006936466 0.0035328586 0.00068933825 0.00025850185 4.308364e-05 0.00014361214 0.008602367 0.00015797335 0.00057444855 0.0013068704 0.03772691 0.0012063419 0.0063332953 0.0072236904 0.018023323 0.011876724 0.03574506 0.020866843 0.002427045 0.0005888097 0.00047392002 0.0006318934 0.001551011 0.0004451976 0.00057444855 0.0013643153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05315085 0.0054285387 0.0107709095 0.007482192 0.024686925 0.0054428997 0.007798139 0.005873736 0.020881204 0.0011632582 0.0019962087 0.002096737 0.015625 0.0012925091 0.0035903032 0.009191177 0.06330423 0.009665096 0.012795841 0.01124483 0.043974034 0.008717257 0.0063476562 0.0094784 0.0336196 0.0033318014 0.0035903032 0.0042652804 0.021872127 0.0057014017 0.010670382 0.016127642 0.011546415 0.0039349725 0.004710478 0.005931181 0.002757353 0.0033605238 0.0076688877 0.0054428997 0.002628102 0.0014073988 0.0016802619 0.0015797334 0.0016946231 0.0014935662 0.0014361213 0.001551011 0.01420324 0.0053567328 0.0065630744 0.007884306 0.0045525045 0.0042221965 0.011575138 0.0077119716 0.004107307 0.002900965 0.0038918888 0.0030876608 0.0032743567 0.0025419348 0.0031307444 0.003231273 278.0 24.032373 6681.0 0.032180812 0.00029935638 0.0067355186 0.00029935638 0.006885197 0.00014967819 0.00014967819 0.0004490346 0.0013471037 0.00029935638 0.00059871277 0.0008980692 0.00014967819 0.013770394 0.014668463 0.009729083 0.023948511 0.015416854 0.008082623 0.006436162 0.0041909893 0.002993564 0.0020954947 0.0013471037 0.0028438857 0.0040413113 0.0050890585 0.0 0.0052387365 0.002993564 0.0050890585 0.008831013 0.026942074 0.026343362 0.001496782 0.0103277955 0.020505913 0.008082623 0.002394851 0.008831013 0.005987128 0.013321359 0.0010477473 0.0004490346 0.0020954947 0.003143242 0.007633588 0.0028438857 0.011525221 0.0010477473 0.0022451729 0.009579404 0.0043406677 0.0058374493 0.004640024 0.01077683 0.0103277955 0.00014967819 0.004640024 0.0008980692 0.002394851 0.0010477473 0.0020954947 0.027241431 0.0004490346 0.03786858 0.011525221 0.0329292 0.027091753 0.06017063 0.009579404 0.015117497 0.0106271515 0.04729831 0.000748391 0.001496782 0.021853017 0.023499476 0.0315821 0.03143242 0.017063314 0.0008980692 0.04205957 0.04475378 0.058374494 0.013620716 0.0052387365 0.01077683 0.005987128 0.0073342314 0.0011974255 0.0008980692 0.00029935638 0.000748391 0.0 0.0 5.64382 0.0 16.0 0.0 3.0 36816.0 53248.0 1.0 0.0 101.0 1.0 1.0 1.0 0.0 0.0 1542236500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 14336.0 1024.0 4096.0 8.0 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 -512.0 0.0 7680.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 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 -4.167894 0.0 0.0 0.0 0.0 0.0 0.0 -2.1799452 0.0 4.501763 0.0 0.0 0.0 0.0 4.016115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9750229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6698194 0.0 4.861282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 7172.0 0.0 0.0 0.0 0.0 720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14302.0 0.0 2704.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 21928.0 2704.0 45056.0 720.0 32768.0 7632.0 29184.0 128.0 49152.0 28.0 21709.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 20576.0 0.0 0.0 896.0 23064.0 0.0 0.0 0.0 0.0


Input: 0.60574245 0.005126953 0.002397017 0.002212062 0.0051787407 0.0017533735 0.0028409092 0.0011319247 0.008478338 0.001546224 0.00048828125 0.00055486505 0.0056522256 0.0008951823 0.0009987571 0.0017755682 0.0037508877 0.0023082385 0.00039210464 0.00063624524 0.0012946852 0.0009691643 0.00076201465 0.00049567944 0.0015388258 0.00038470645 0.00029592804 0.00039950284 0.00088038587 0.00055486505 0.00032552084 0.00033291904 0.0033661814 0.00038470645 0.00030332623 0.00076201465 0.0028926965 0.0009913589 0.00028113162 0.00056226325 0.0007028291 0.00034771542 0.00027373343 0.0010727391 0.0006658381 0.00027373343 0.0007990057 0.00028113162 0.0015906132 0.0010431464 0.0010875355 0.002951882 0.0010949337 0.0005992543 0.00056226325 0.00080640387 0.0011319247 0.00080640387 0.0015536222 0.0024044153 0.001287287 0.0008729877 0.0012281013 0.001176314 0.0036695076 0.0014130564 0.00049567944 0.0014426492 0.0009099787 0.0045942827 0.0028483074 0.00076201465 0.0010949337 0.00063624524 0.00026633524 0.00068803265 0.0007324219 0.0031442354 0.0015610204 0.0005844579 0.0054672705 0.0033957742 0.002870502 0.0023452297 0.0007102273 0.0033661814 0.0038396663 0.0027743252 0.0005992543 0.0012576941 0.00028852982 0.0016424005 0.0006584399 0.0042687617 0.003092448 0.002574574 0.008907434 0.0020123105 0.0005252723 0.0015758168 0.0025597773 0.0035363398 0.0007324219 0.0007990057 0.00390625 0.0020493015 0.0019383286 0.00036991003 0.0025301846 0.0017459753 0.0017237808 0.002729936 0.0015906132 0.00022194603 0.0024414062 0.002027107 0.006488222 0.0045276987 0.00088038587 0.00054746686 0.0007694129 0.0007176255 0.00033291904 0.00032552084 0.0009839607 0.0015314276 0.00076201465 0.00029592804 0.0017903646 0.00033291904 0.00012576941 0.0042243726 0.0012576941 0.005341501 0.0005992543 0.00021454782 0.0009469697 0.0046904595 0.0013908617 0.025272254 0.0007102273 0.003832268 0.00041429925 0.00024414062 0.00080640387 0.00030332623 0.00027373343 0.00044389206 0.00045868845 0.00038470645 0.00036251184 0.00047348486 0.00034031723 0.00023674243 0.00020714963 0.00056966144 0.00042169745 0.00029592804 0.00022934422 0.00016276042 0.0013908617 0.00055486505 0.00015536221 0.00022934422 0.00047348486 0.00026633524 0.00016276042 0.00021454782 0.00039210464 0.00014796402 0.00019235323 0.00014796402 0.00046608664 0.00017015862 0.00039210464 0.00060665247 0.00045868845 0.00019975142 0.00012576941 0.00015536221 0.00036251184 0.00014796402 0.00042909564 0.00054006866 0.0010801373 0.00021454782 0.00021454782 0.00032552084 0.00036991003 0.00020714963 0.0007916075 0.00020714963 0.005644827 0.0015980114 0.003928445 0.0022564512 0.0020345051 0.00028113162 0.0015610204 0.0027077415 0.0011615176 0.001546224 0.00048088306 0.00871508 0.018732244 0.0005252723 0.0008877841 0.00060665247 0.0008655895 0.0013538707 0.00069543085 0.00036251184 0.00048088306 0.00021454782 0.00037730823 0.00038470645 0.00063624524 0.00037730823 0.00019975142 0.00061405066 0.0007102273 0.00044389206 0.00043649384 0.00038470645 0.00088038587 0.00048088306 0.00031812262 0.00019975142 0.0009469697 0.0012650923 0.00038470645 0.00022934422 0.0052897134 0.0007990057 0.00049567944 0.0015092329 0.003506747 0.00056226325 0.00048088306 0.00038470645 0.0022564512 0.0009025805 0.0005252723 0.0010875355 0.0015092329 0.00015536221 0.0012428977 0.0006436435 0.0021232837 0.0007324219 0.00030332623 0.00028113162 0.0024414062 0.00024414062 0.00068803265 0.014441288 0.4884378 3.7273378e-06 0.0 0.0 0.0 7.4546756e-06 1.1182014e-05 3.7273378e-06 7.4546756e-06 0.0 3.7273378e-06 0.0 4.8455393e-05 0.0 0.0 2.6091364e-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 0.0071229427 5.2182728e-05 2.9818702e-05 2.2364027e-05 2.9818702e-05 4.4728054e-05 3.7273378e-05 3.354604e-05 2.2364027e-05 2.9818702e-05 4.1000716e-05 3.354604e-05 3.354604e-05 3.354604e-05 4.1000716e-05 2.6091364e-05 0.026423097 0.00026091366 0.0003242784 0.0009206524 0.00035782444 0.00018636689 0.0009951992 0.0004621899 7.081942e-05 3.7273378e-05 5.2182728e-05 8.572877e-05 7.827409e-05 4.1000716e-05 0.00015654818 8.200143e-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 0.00631411 0.0001379115 0.00015654818 0.0001080928 8.572877e-05 0.000104365456 8.200143e-05 0.00011182013 4.1000716e-05 9.3183444e-05 6.336474e-05 5.9637405e-05 0.00012672949 2.2364027e-05 4.4728054e-05 8.200143e-05 0.0056879176 8.945611e-05 1.4909351e-05 2.6091364e-05 5.9637405e-05 2.6091364e-05 0.00054419134 7.081942e-05 7.4546756e-06 7.4546756e-06 3.7273378e-05 1.1182014e-05 0.0007305582 6.336474e-05 0.00016027552 9.6910786e-05 0.0048231753 4.8455393e-05 0.00019382157 4.8455393e-05 0.00013418416 8.200143e-05 0.0013455689 0.0005031906 2.2364027e-05 1.8636689e-05 2.2364027e-05 1.8636689e-05 8.200143e-05 1.4909351e-05 0.00025345897 2.2364027e-05 0.004610717 0.00012300214 6.709208e-05 5.9637405e-05 0.00054419134 0.00046964455 3.354604e-05 8.945611e-05 0.00078646827 0.0 1.1182014e-05 2.2364027e-05 0.0005702827 7.4546756e-06 9.3183444e-05 0.00014536617 0.008256054 0.00019382157 0.0001379115 0.0019568524 0.00021991292 0.00043609852 0.0004137345 0.00026464098 0.0004249165 0.00017518488 0.00021991292 0.00019382157 0.0012672949 0.00014163884 0.00039882516 0.00056655536 0.008211325 0.00042864383 0.0018860329 0.0029706883 0.0010212905 0.0007417402 0.0076000416 0.0037907024 0.00032055104 0.00035409708 0.0002683683 0.00020500358 0.0014797531 0.00026464098 0.0006411021 0.00035036975 0.009277344 0.00045100786 0.00090947043 0.004338621 0.00166612 0.0009281071 0.0047598104 0.0024451336 0.00048455392 0.0007007395 0.00054419134 0.00032055104 0.0011666567 0.00029818702 0.001114474 0.0011293833 0.012497763 0.0015878459 0.0018860329 0.0013642056 0.002359405 0.004390804 0.003641609 0.002549499 0.004767265 0.0009281071 0.0008311963 0.00048455392 0.004182073 0.0010361999 0.0011070194 0.0021879473 0.058780115 0.010115995 0.006288019 0.0073764017 0.01642265 0.02972179 0.015945552 0.012389671 0.0422531 0.0026240458 0.0029483242 0.0037720657 0.0406168 0.0055686426 0.012594675 0.022658486 0.004301348 0.0011219287 0.0011778388 0.00069328485 0.0014536617 0.0017742128 0.0018226681 0.0011964755 0.0023743142 0.00054046395 0.0004733719 0.00035409708 0.0019717617 0.00081628695 0.0009169251 0.0019121243 0.00027955032 0.0006485568 0.00089456106 0.00044728053 0.0006075561 0.0005143726 0.0004621899 0.00063364743 0.00017891222 0.0004994633 0.00048828125 0.00026091366 0.0006821028 0.00029073234 0.00026091366 0.00048455392 386.0 15.313472 5911.0 0.05701235 0.0011842328 0.0011842328 0.00067670445 0.009643039 0.012688208 0.0010150566 0.00067670445 0.002875994 0.0013534089 0.0005075283 0.00084588054 0.002875994 0.002875994 0.010488919 0.00067670445 0.011503976 0.0072745727 0.008797158 0.008966334 0.0062595163 0.0042294026 0.0042294026 0.0062595163 0.00609034 0.004906107 0.013026561 0.0071053966 0.0042294026 0.0027068178 0.005582812 0.011842328 0.019793605 0.012519033 0.0032143462 0.007443749 0.008458805 0.0037218744 0.00913551 0.0023684655 0.0023684655 0.0023684655 0.0005075283 0.0013534089 0.005921164 0.0035526983 0.004398579 0.0016917611 0.0069362205 0.004736931 0.004906107 0.0069362205 0.0054136356 0.0040602265 0.0033835222 0.0011842328 0.0040602265 0.0054136356 0.0033835222 0.0021992894 0.0033835222 0.0027068178 0.0027068178 0.009304686 0.00304517 0.042124853 0.0064286925 0.030620877 0.04043309 0.07308408 0.0071053966 0.011503976 0.008797158 0.04094062 0.0010150566 0.0032143462 0.03298934 0.019793605 0.03383522 0.054643884 0.023346303 0.0013534089 0.04347826 0.030282523 0.056335647 0.019793605 0.00609034 0.004398579 0.00828963 0.010488919 0.0025376417 0.00033835223 0.0021992894 0.0010150566 0.00067670445 0.00067670445 5.634747 0.0 1.0 0.0 1.0 135168.0 135168.0 1.0 3.0 62.0 1.0 1.0 0.0 0.0 0.0 1211914000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 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 12288.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 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 -5.3415318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.138112 0.0 0.0 -0.5573945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5594947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.382901 0.0 3.2643902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12086.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41002.0 0.0 752.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 134.0 61104.0 100.0 59504.0 752.0 65536.0 0.0 0.0 0.0 0.0 2372.0 69632.0 28.0 49424.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 58480.0 0.0 0.0 264.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.056679133 0.008297917 0.0061708833 0.0056499983 0.0057504475 0.0049717086 0.004197112 0.005416998 0.0050483397 0.005629287 0.0037445738 0.004457037 0.0049468554 0.003176053 0.004330699 0.0046382593 0.005054553 0.0037621781 0.004935464 0.004161903 0.0043596947 0.0031770885 0.0041101254 0.0038408805 0.0050752643 0.0033448488 0.0031574129 0.0029264838 0.004150512 0.0034504756 0.0037870316 0.003788067 0.0061636344 0.0038180982 0.0034856845 0.0030258973 0.0048857573 0.004159832 0.0038367382 0.0037238626 0.0047293883 0.0038968006 0.0033407065 0.0030952794 0.004365908 0.003711436 0.0037238626 0.0035892401 0.005517447 0.0039527207 0.003112884 0.0028985238 0.0036803691 0.0030766395 0.0026883057 0.002856066 0.004171223 0.0033075686 0.0035302134 0.0033552044 0.003996214 0.0032288663 0.0035063955 0.00345876 0.0065954616 0.0039578984 0.0036182357 0.0032236886 0.0041536186 0.0032216175 0.0035447113 0.0030704262 0.0050048465 0.0037777114 0.0037083293 0.0035819912 0.004133943 0.003131524 0.0035457467 0.0034629023 0.0051653576 0.003631698 0.0036565512 0.0033365642 0.0039226892 0.0033779866 0.0033572754 0.0035395334 0.0046475795 0.0036534446 0.0038056716 0.0035105378 0.0041090897 0.0033883422 0.0036959024 0.0037911737 0.005909923 0.003629627 0.003341742 0.0029534083 0.0040065697 0.0030517862 0.003257862 0.0030321106 0.0049572107 0.0031739818 0.003211262 0.0030528216 0.0035830268 0.002839497 0.0030994217 0.0031905507 0.0045067435 0.0032744308 0.0032216175 0.0031335952 0.003893694 0.0033438131 0.003287893 0.003631698 0.0046237614 0.003297213 0.0034784356 0.0031708751 0.0040345294 0.0031977997 0.003466009 0.003341742 0.008642757 0.0045958012 0.004009676 0.0035281423 0.0043804054 0.0034359777 0.0030196838 0.0033924843 0.0045357393 0.0038325961 0.0029534083 0.0031988353 0.0037342182 0.0027980746 0.002856066 0.0029855105 0.005239918 0.0032050486 0.0034908622 0.003029004 0.0036648358 0.003180195 0.0033075686 0.0032609687 0.0045419526 0.0028374258 0.0030435016 0.002711088 0.0035105378 0.003229902 0.0029875815 0.0031449862 0.0050089885 0.0034121599 0.003278573 0.0027991103 0.0037756404 0.0030321106 0.0030642129 0.0031905507 0.0041401563 0.0029979371 0.0031180617 0.0030103638 0.003638947 0.0028426037 0.002914057 0.003040395 0.004671397 0.0031159907 0.0038470938 0.0028539947 0.0035654223 0.0031429152 0.0029927595 0.0031211684 0.004253032 0.0031543062 0.0033438131 0.003178124 0.0036524092 0.0031843374 0.0033241375 0.003358311 0.006707302 0.0040552407 0.0037197203 0.0033407065 0.0041142674 0.0032568264 0.0033096399 0.0032340442 0.0043410542 0.0033272442 0.0031159907 0.0030766395 0.0036430892 0.0029886172 0.0030745685 0.0027918613 0.004257174 0.003283751 0.0030838884 0.0030020794 0.0037124713 0.0030113994 0.002930626 0.0029337327 0.0039786096 0.003105635 0.002729728 0.002638599 0.0035395334 0.002951337 0.0035778491 0.0028871326 0.0049468554 0.0032402575 0.0033883422 0.0029730839 0.0038129205 0.0030724972 0.0031926217 0.0028995592 0.0044446103 0.005452207 0.003475329 0.0031429152 0.003793245 0.0030673195 0.0032412931 0.003180195 0.0046082283 0.0033127465 0.0034308 0.0030393593 0.0037456092 0.0030849238 0.003311711 0.0032423285 0.004349339 0.003033146 0.0031843374 0.0028571014 0.0040138187 0.0031014928 0.004225072 0.004515028 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 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 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 0.09915582 0.062037636 0.062438317 0.05533595 0.06061478 0.059570312 0.054961186 0.05447187 0.06048519 0.053167712 0.052161604 0.052966595 0.056418255 0.050541773 0.056637514 0.053833786 4023.0 5.7032065 22944.0 0.017128661 0.010460251 0.009327057 0.008586123 0.013380405 0.012508716 0.011767782 0.011506276 0.012683054 0.009719317 0.008498954 0.008629707 0.013859833 0.010503835 0.011854951 0.009893654 0.016867155 0.011898535 0.008673292 0.0074965134 0.009806485 0.008498954 0.0078451885 0.008324617 0.010242329 0.008411786 0.009588564 0.008847629 0.011506276 0.009021967 0.009675732 0.009239889 0.018131102 0.010896095 0.010373082 0.00915272 0.010808926 0.008978382 0.010721757 0.008281032 0.014252092 0.011593445 0.00985007 0.009021967 0.011462692 0.009414226 0.011637029 0.009588564 0.014775105 0.009632148 0.009937239 0.009065551 0.012072873 0.009327057 0.009544979 0.009762901 0.013685495 0.009196304 0.01054742 0.009588564 0.011114017 0.009806485 0.010460251 0.010678173 0.017956764 0.010983263 0.009675732 0.008150279 0.0131624825 0.008281032 0.009414226 0.008324617 0.01542887 0.009283473 0.008891214 0.008716876 0.011375523 0.0079759415 0.009937239 0.0078451885 0.0131624825 0.0079323575 0.008716876 0.008847629 0.011462692 0.009457811 0.008150279 0.0078887725 0.010896095 0.008847629 0.011854951 0.008586123 0.01124477 0.00915272 0.010067992 0.008716876 6.5544634 0.0 0.0 0.0 14.0 965664.0 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: 0.16111432 0.01489735 0.0052288603 0.003370296 0.032057766 0.014221809 0.0040680813 0.002454195 0.00933731 0.0016764977 0.0018890463 0.0013963949 0.006400349 0.0021296053 0.0008955052 0.004179299 0.0043630134 0.0010322613 0.0007340341 0.0009144533 0.0024278322 0.012713373 0.0006088117 0.00065741775 0.0019393001 0.0009968365 0.00059892575 0.0006961379 0.00119538 0.0005124234 0.0005626771 0.00062446453 0.004961939 0.0005058327 0.0010396758 0.00040202992 0.0021172478 0.0049742963 0.00044075 0.00047205563 0.0016575496 0.0005379622 0.0005148949 0.00074968697 0.0012761154 0.0009301061 0.001729223 0.0006425888 0.0019393001 0.0007117907 0.001092401 0.0025143346 0.0012785869 0.00048606077 0.0018198445 0.0012892968 0.0012357477 0.0007949977 0.0007595729 0.00082547945 0.0013939234 0.002415475 0.0004481645 0.00049841823 0.0020777038 0.0022136362 0.0019310617 0.0023100243 0.0022408224 0.019107131 0.002095828 0.00062281685 0.0032005867 0.0014754827 0.0008625519 0.0005742108 0.0071862848 0.032052 0.004110097 0.0039502736 0.011496573 0.0072406577 0.0073889475 0.0030003954 0.004369604 0.007635273 0.0014136954 0.0013626178 0.0017259276 0.0018577407 0.00083289394 0.0010446188 0.0040285373 0.011342516 0.00082547945 0.0027977328 0.0013156594 0.003972517 0.00066400843 0.0030193436 0.0049289856 0.0081098005 0.0014919594 0.0011632505 0.010930601 0.0033579385 0.007308212 0.0009869505 0.003444441 0.0019615435 0.004423153 0.0045673237 0.0021584393 0.0004638173 0.0045763855 0.0046793646 0.008950109 0.0042921635 0.0014713636 0.001009194 0.0019730772 0.0010396758 0.0010083701 0.0005107757 0.0020356884 0.0019508337 0.0006920187 0.0004638173 0.0030827785 0.003434555 0.00095234957 0.01204854 0.002076056 0.011984281 0.00041768272 0.0003682528 0.0019623674 0.012548606 0.0008856192 0.031883113 0.0012357477 0.027834805 0.00031635142 0.00026856916 0.0013560272 0.00058162527 0.00032047057 0.0006714229 0.0014515916 0.004530251 0.0012357477 0.000279279 0.0011434786 0.00042674487 0.0002817505 0.00027021684 0.0013428458 0.00040697292 0.0004926514 0.00045393134 0.0012571673 0.0017127463 0.0003468332 0.001067686 0.0016048243 0.0016756739 0.0005429052 0.00029081263 0.0013832136 0.00037896264 0.0005503197 0.0005824491 0.001479602 0.00034024255 0.0008996243 0.0007332103 0.0016081197 0.00035919066 0.00031882292 0.00042262572 0.0016526066 0.00033612337 0.0013873328 0.00062858366 0.0024368945 0.0011385356 0.0004399262 0.00030976077 0.0014606538 0.0009498781 0.0007669874 0.0005305477 0.00454508 0.002629671 0.0016979174 0.001621301 0.00700257 0.0008889145 0.0065659396 0.0051604826 0.0032104726 0.00096223556 0.0005050089 0.00033282806 0.016162757 0.00067224674 0.00039049628 0.00061869767 0.0023075528 0.00059974956 0.00084854674 0.0005132472 0.002410532 0.00028669348 0.00030646543 0.00064176496 0.0021279575 0.00030646543 0.00031882292 0.0005165425 0.002684868 0.0005025374 0.0005824491 0.00075215846 0.0032945033 0.0008798524 0.0007356818 0.00045228365 0.0037253674 0.0018190206 0.00032458972 0.0004918276 0.015236769 0.0032005867 0.0005775061 0.003071245 0.0061499043 0.0005280762 0.00036083834 0.0011673697 0.004060667 0.00056844397 0.0006936664 0.00081888883 0.0042254333 0.0013313122 0.0009935412 0.003731958 0.004031833 0.001533151 0.002233408 0.0036676992 0.019683814 0.004994892 0.00433006 0.08463142 0.012507671 6.2684754e-05 2.969278e-05 4.330197e-05 1.2371991e-05 1.3196791e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024220236 1.360919e-05 6.1859955e-06 7.423195e-06 3.2991977e-06 2.886798e-06 7.423195e-06 0.0 3.7115974e-06 3.2991977e-06 8.2479943e-07 2.4743981e-06 1.6495989e-06 1.360919e-05 1.7733188e-05 2.763078e-05 0.0015543345 8.2479943e-07 2.4743981e-06 1.6495989e-06 4.123997e-06 7.423195e-06 1.2371991e-05 5.361196e-06 8.247994e-06 5.773596e-06 4.536397e-06 7.423195e-06 1.0309993e-05 7.010795e-06 9.485193e-06 4.7838366e-05 0.0014850514 3.4229175e-05 1.6495987e-05 7.835594e-06 7.423195e-06 1.1547192e-05 9.072794e-06 3.7115974e-06 1.3196791e-05 7.423195e-06 1.1547192e-05 4.9487962e-06 5.361196e-06 1.1547192e-05 1.8145587e-05 4.165237e-05 0.010575166 0.00027012182 0.00010392473 0.000115471914 8.0830345e-05 0.00010392473 0.00015135069 0.00017939387 0.0001406283 7.258235e-05 8.000554e-05 8.371714e-05 5.856076e-05 5.1962365e-05 6.639635e-05 0.0005348824 0.0052811904 0.00013155551 0.0001542375 8.247994e-05 0.00011959591 9.980073e-05 0.00011712152 0.00015959868 5.1962365e-05 4.330197e-05 4.288957e-05 6.392195e-05 3.5053974e-05 3.3404376e-05 6.474675e-05 0.0002758954 0.009447252 0.00018434267 0.00016083589 0.00026929702 0.00020867425 0.00020372546 0.00016702188 0.00011877112 0.00015671189 0.00012536951 0.00015836148 0.0001534127 0.00019052866 0.00022228344 0.0001406283 0.00076170225 0.021603558 0.00064458075 0.0011670912 0.0003088874 0.0019366291 0.00048292006 0.0015019597 0.00091222813 0.0004082757 0.0005526156 0.00030146417 0.00047178526 0.00021898425 0.00022517024 0.0002635234 0.0019395158 0.021415092 0.00078314706 0.0015106201 0.0004445669 0.0044019544 0.0027469944 0.0045462945 0.0028525689 0.0004379685 0.0004029145 0.00038476894 0.00031878497 0.00047920845 0.00041528651 0.00037528374 0.0015588709 0.013695382 0.00047673407 0.0013741158 0.00074974267 0.0051471605 0.0047838367 0.010121526 0.0059534023 0.00035631334 0.00036579854 0.00032991977 0.00033899257 0.00034559096 0.0004185857 0.00048415727 0.0006668503 0.013447117 0.0004301329 0.0029544316 0.0022339693 0.005636679 0.005578943 0.010227513 0.0062074405 0.0007171631 0.00039961532 0.0004020897 0.00038518134 0.00036414893 0.00033899257 0.00037157213 0.0009806865 0.012692014 0.0015572213 0.002624924 0.003127227 0.0056309057 0.0032596074 0.0063847722 0.003876557 0.0024801719 0.00052374764 0.00046683647 0.0005522032 0.0007204623 0.00051096326 0.00061282597 0.0031214533 0.021627065 0.0036831417 0.0033767289 0.0026966818 0.010757859 0.008076848 0.0047104293 0.0029903103 0.018687068 0.0021160229 0.0017423887 0.0016813535 0.0068400614 0.0017312539 0.0053026355 0.026446369 0.11198755 0.021005578 0.0084620295 0.0082904715 0.04994985 0.041126974 0.021893475 0.012738614 0.08500424 0.009988734 0.010138847 0.009883159 0.04219014 0.010976018 0.032928053 0.10198356 0.0054453257 0.0012796763 0.0009621285 0.0010697648 0.002166748 0.0018991006 0.0017774428 0.0012470967 0.0029226767 0.00062313594 0.00076252705 0.0007876834 0.0015300029 0.00074066984 0.001379477 0.0032781654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5967.0 18.26328 108977.0 0.030079741 0.00031199245 0.00089009607 9.176249e-06 0.001147031 0.016709948 0.0005322224 0.00029363995 0.0014406709 0.0012296173 0.0005230461 0.0003028162 0.0022298284 0.0048542353 0.011598778 0.0024133532 0.0063040825 0.0027253458 0.004624829 0.0024959396 0.0023858245 0.0011562073 0.0020004222 0.00046798866 0.0013947898 0.00086256734 0.0031566294 0.00017434872 0.0013856135 0.0127091035 0.00075245235 0.0017159585 0.0045147142 0.01660901 0.004799178 0.021169605 0.011534544 0.022234049 0.01944447 0.0035420319 0.003441093 0.012433817 0.0002661112 0.0025418208 0.010809621 0.00892849 0.011130789 0.013424851 0.011011498 0.001110326 0.019472 0.022656158 0.024858456 0.004459657 0.004166017 0.010350808 0.0026519357 0.0016609009 0.0011011498 0.0056250403 0.026445948 0.0055332775 0.00010093873 0.024124356 0.00015599623 0.034768805 0.0040834304 0.02856566 0.021610064 0.07704378 0.008258623 0.008377914 0.009635061 0.030639492 0.0013764373 0.0050836415 0.022876387 0.016856767 0.039705627 0.040779248 0.011855713 0.0004037549 0.04267873 0.042642027 0.049827028 0.013571671 0.010396689 0.0053497525 0.00782734 0.006249025 0.0005597511 8.258624e-05 0.0072951172 0.00014681998 0.00020187745 6.423374e-05 5.628882 33.0 26.0 2.0 4.0 1213840.0 22687744.0 0.0 0.0 578.0 0.0 1.0 1.0 0.0 0.0 1541141100.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 9.0 0.0 5.0 0.0 5.0 0.0 865792.0 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 214016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -865792.0 0.0 120832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5815535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.328608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1125765 0.0 4.4710407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 213830.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21475196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -865596.0 0.0 120640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 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 -2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -2.0 2.0 2.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 -3.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 -2.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 -3.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 2.0 2.0 0.0 0.0 1.0 -2.0 0.0 -2.0 0.0 0.0 1.0 1.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -4.0 0.0 -2.0 -2.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 3.0 1.0 2.0 1.0 0.0 2.0 2.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 1.0 0.0 2.0 0.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 -4.0 -1.0 -1.0 1.0 0.0 -1.0 2.0 -1.0 -2.0 0.0 2.0 -1.0 0.0 2.0 -2.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 3.0 -2.0 -1.0 0.0 -2.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 -3.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -2.0 1.0 1.0 1.0 1.0 -1.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -3.0 -1.0 2.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 2.0 2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 2.0 1.0 2.0 -2.0 -1.0 0.0 0.0 -1.0 2.0 1.0 1.0 0.0 -2.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 2.0 1.0 1.0 0.0 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 0.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 2.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 -1.0 1.0 -2.0 -2.0 2.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 1.0 -2.0 0.0 2.0 2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 4.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 -2.0 -1.0 -1.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 1.0 2.0 1.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 -2.0 -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 2.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 560.0 1070152.0 120640.0 22564864.0 0.0 0.0 8080.0 1205760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1012904.0 0.0 0.0 4368.0 872448.0 0.0 0.0 0.0 0.0


Input: 0.05792356 0.005123356 0.0055326596 0.0019336081 0.0026534183 0.0050245584 0.005744369 0.0030909502 0.0018912663 0.005631457 0.005829052 0.0020041778 0.005913736 0.002328798 0.0026393044 0.0036555072 0.0023711398 0.0049398746 0.004925761 0.0019336081 0.0026110767 0.0046293684 0.0053068367 0.0027804438 0.0015948738 0.005631457 0.006054875 0.0020747473 0.0052786088 0.0023005703 0.0025546208 0.0035284818 0.002145317 0.0045870263 0.0052221534 0.0018489246 0.0024699373 0.0043188618 0.005546774 0.0033026591 0.0018206966 0.004897533 0.006111331 0.0016089878 0.005236267 0.0019194941 0.003119178 0.0035284818 0.0021735448 0.0051092417 0.005998419 0.001947722 0.0024417094 0.0043894313 0.005095128 0.0028651273 0.0018348106 0.0058149383 0.005800824 0.0018489246 0.00546209 0.0019759499 0.0028510133 0.0035849377 0.0022582284 0.004728166 0.0052786088 0.0012702534 0.0026816463 0.0045446847 0.0051656975 0.0031897477 0.0016372156 0.005744369 0.005405634 0.0018771524 0.005433862 0.0017642409 0.0027098742 0.0034437983 0.0024134817 0.0054762037 0.0059278496 0.0021735448 0.0030909502 0.0044317734 0.005490318 0.0030486083 0.0016231016 0.005913736 0.005603229 0.0018348106 0.005659685 0.001961836 0.0026534183 0.0032603173 0.0017642409 0.004502343 0.0055750012 0.0019194941 0.0024981652 0.004530571 0.0049822163 0.0029639248 0.0018348106 0.005716141 0.006054875 0.0016654434 0.004925761 0.0022441144 0.0027663298 0.0038531022 0.0020465194 0.0051374696 0.005264495 0.0015666459 0.0028792412 0.004460001 0.005010444 0.0028651273 0.0015948738 0.005518546 0.0056455713 0.0021735448 0.0055326596 0.0019759499 0.0024417094 0.0037543047 0.0020324055 0.004925761 0.005349179 0.001961836 0.0033308868 0.004953989 0.005151584 0.0027804438 0.0018630384 0.0058713937 0.0062101283 0.0022864563 0.0049963305 0.0021594309 0.0031050642 0.0036837352 0.0022300004 0.004925761 0.0054479763 0.001947722 0.0027239881 0.0041918363 0.0053632925 0.0029921527 0.0015525321 0.0053774063 0.0061536725 0.0018771524 0.005659685 0.0023005703 0.0026110767 0.0033591148 0.0017783549 0.005010444 0.0053632925 0.001961836 0.0026393044 0.0044317734 0.005208039 0.003119178 0.0019194941 0.005518546 0.0060972166 0.0018489246 0.0053350646 0.0023005703 0.002328798 0.0035002541 0.0020747473 0.0053068367 0.0051374696 0.0017783549 0.0027945577 0.0051374696 0.0053632925 0.0029498108 0.0018630384 0.006026647 0.0058149383 0.0019900638 0.0054197484 0.0024558234 0.0027098742 0.0037543047 0.0020324055 0.004841077 0.0054479763 0.0021594309 0.0028368994 0.0049963305 0.0053068367 0.0029215831 0.0016513296 0.0053068367 0.0049822163 0.0020324055 0.005631457 0.0022017728 0.0023852538 0.0038389883 0.002145317 0.0047563934 0.005208039 0.0016372156 0.0028510133 0.004728166 0.0049963305 0.003316773 0.0016372156 0.00546209 0.005829052 0.002131203 0.005829052 0.002145317 0.0027098742 0.0034296843 0.0018348106 0.004925761 0.0050527863 0.0021594309 0.0023005703 0.0045164567 0.005236267 0.0027945577 0.0018771524 0.0058431663 0.00546209 0.0021735448 0.005151584 0.0020747473 0.0025828488 0.0035849377 0.0021876588 0.005433862 0.005264495 0.0021029753 0.002328798 0.0047987355 0.0057302546 0.0031050642 0.0017218991 0.006026647 0.0057302546 0.0018630384 0.0053350646 0.001961836 0.0030062667 0.004460001 0.029411765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012989718 0.00026568244 0.00014361214 1.4361213e-05 0.00013643152 0.00020823759 0.00025132124 0.00013643152 0.00012207031 0.00015797335 4.308364e-05 5.0264247e-05 4.308364e-05 3.5903035e-05 7.180607e-05 3.5903035e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0091121895 0.00034466913 0.0002225988 0.00027286305 0.00036621094 0.0008544922 0.00027286305 0.00025850185 0.0011201747 0.00027286305 0.00025850185 0.00016515395 0.00045955883 0.00012925093 0.00029440486 0.00030158547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.061250575 0.058055203 0.05752384 0.059290268 0.05684886 0.05978573 0.057452034 0.057732075 0.059728287 0.058399875 0.058414236 0.060625862 0.058442958 0.059117936 0.057487935 0.061020795 342.0 5.748538 1966.0 0.006103764 0.012207528 0.012207528 0.002543235 0.004577823 0.006103764 0.015768057 0.009664293 0.002543235 0.013733469 0.016785352 0.004069176 0.011698881 0.004577823 0.009664293 0.009664293 0.006103764 0.014750763 0.01017294 0.006103764 0.007629705 0.009664293 0.013733469 0.010681587 0.002034588 0.006103764 0.01881994 0.003560529 0.011698881 0.003560529 0.011698881 0.009155646 0.003560529 0.006103764 0.008138352 0.002543235 0.011190234 0.014242116 0.013224822 0.013224822 0.004577823 0.02390641 0.017293997 0.005595117 0.01525941 0.007629705 0.008646999 0.011698881 0.006612411 0.013733469 0.011698881 0.003560529 0.011190234 0.014242116 0.009155646 0.011190234 0.004577823 0.02390641 0.01881994 0.007629705 0.020854527 0.003051882 0.007121058 0.011698881 0.006103764 0.013733469 0.016785352 0.00508647 0.008138352 0.018311292 0.01525941 0.012716175 0.003560529 0.020854527 0.015768057 0.004577823 0.01525941 0.007629705 0.01017294 0.017293997 0.008646999 0.014750763 0.02034588 0.003560529 0.011698881 0.016785352 0.017802645 0.011190234 0.004069176 0.012716175 0.014750763 0.002034588 0.019328587 0.004069176 0.007629705 0.006103764 6.385802 3.0 0.0 0.0 1.0 70852.0 1245184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1418927700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1101824.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 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 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 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1101824.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.871819 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 4766.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1100270.0 0.0 84073.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 1107584.0 84073.0 1159168.0 0.0 0.0 2032.0 1241088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1106520.0 0.0 0.0 0.0 0.0 596.0 1105920.0 0.0 0.0 0.0 0.0


Input: 0.05650657 0.019358167 0.015611425 0.016039042 0.014028222 0.01410119 0.012071704 0.012512896 0.012253271 0.011949528 0.010585225 0.011070536 0.010753217 0.010551287 0.009736778 0.0117509905 0.010351053 0.010186454 0.008949419 0.009390611 0.012154852 0.010033734 0.007953342 0.00838605 0.00788886 0.008133213 0.0074001546 0.007893951 0.0071422267 0.0075715412 0.0071201674 0.007478212 0.007719171 0.0070353225 0.006500801 0.0070200507 0.006655218 0.0071116826 0.0060562147 0.0067044282 0.0063701402 0.006483832 0.00592216 0.0065296483 0.005988339 0.0061648157 0.0056302943 0.0062055415 0.005728714 0.005910282 0.00562181 0.0061716037 0.0053180656 0.006163119 0.004992262 0.005587872 0.0051483763 0.005669323 0.004936265 0.005728714 0.005265462 0.005044866 0.004754697 0.0049735964 0.0048565106 0.0050720163 0.0045527667 0.004944749 0.0045120413 0.0067756977 0.0047920286 0.004771666 0.004513738 0.0045663416 0.0040844237 0.0043949555 0.0042032064 0.0048106946 0.00408103 0.0043016262 0.0052875215 0.0043185954 0.0039317035 0.0050346847 0.004014851 0.004798816 0.0043627145 0.0043779863 0.0037908612 0.004209994 0.0034362103 0.003843465 0.0035957184 0.0038774027 0.0036262625 0.0037263792 0.0032902774 0.004047092 0.003217311 0.0037552265 0.003568568 0.0043627145 0.0032919743 0.003441301 0.003762014 0.0036839568 0.0036737756 0.0031986453 0.0033734252 0.0031121036 0.003281793 0.0035600837 0.0032105234 0.0029101733 0.003538024 0.0034701482 0.004545979 0.0049752933 0.0028100566 0.0029525955 0.0030170775 0.0028304192 0.002419771 0.0025860665 0.0027235148 0.0031307694 0.0024910404 0.0026030354 0.0029712615 0.002609823 0.002302685 0.0039147343 0.0027930876 0.003473542 0.0022653535 0.0023451075 0.0025029187 0.0034684513 0.002317957 0.0045103445 0.0020294853 0.0032478552 0.0019429437 0.002099058 0.0020260913 0.002097361 0.0018462207 0.0019802754 0.0019565187 0.00201591 0.0018224642 0.0019667002 0.001713863 0.001778345 0.0017630729 0.0018767648 0.0016256245 0.0017172567 0.0015645362 0.0016510779 0.0017274381 0.0017155599 0.0015339921 0.0019005213 0.0016901065 0.001488176 0.0014219972 0.0015305984 0.001569627 0.0015170232 0.0014186034 0.0014101189 0.0014559351 0.0013643028 0.0012828519 0.0013744842 0.0013049114 0.0012811549 0.00116916 0.0012760643 0.0012675798 0.0012200668 0.0017647698 0.0013184866 0.0013049114 0.0013133959 0.0011487972 0.0011589786 0.0011131625 0.0011793413 0.0010877091 0.001089406 0.0021211174 0.0014661164 0.0010215302 0.0014372693 0.0014457537 0.00097232027 0.0011878258 0.0011878258 0.0012302481 0.001231945 0.0008739004 0.00086032524 0.0008399625 0.00080941844 0.00078735885 0.00086202216 0.00085184077 0.00083317497 0.0007296644 0.00072117994 0.0007296644 0.00067027315 0.0009332917 0.0006583949 0.00086541596 0.0006583949 0.0005701564 0.00073136133 0.00069912034 0.0005413092 0.00048870547 0.00057864084 0.0016629561 0.002883023 0.00050058373 0.00049209927 0.00061257876 0.00041064835 0.00034446947 0.00041404215 0.0015187202 0.00074663333 0.00030713782 0.0010147427 0.00080263085 0.00034446947 0.00031222848 0.00031562228 0.00063803216 0.00026641236 0.00026301856 0.00024265585 0.0005803378 0.0002273838 0.00042252662 0.000368226 0.0011386159 0.0003699229 0.00017987077 0.00030204712 0.0006227601 0.00033089434 0.00036143843 0.006483832 0.017370563 4.6786532e-05 0.0 0.0 0.0 0.0 0.0 0.0 4.253321e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005307294 0.00013865826 0.00044830004 0.00015311956 0.0001258983 0.00022032202 0.0011900793 0.0006932913 4.3383876e-05 3.9130555e-05 1.4461291e-05 2.041594e-05 4.4234537e-05 1.7013284e-05 9.1871734e-05 0.00016332752 0.0075224233 0.00014376226 0.0006584141 0.0002756152 0.00074688316 0.0005690943 0.0032563426 0.0018901759 9.1871734e-05 5.7845165e-05 5.444251e-05 5.7845165e-05 5.5293174e-05 5.5293174e-05 8.506642e-05 0.0001590742 0.0029041676 0.00012079431 0.00015056756 0.00010803435 0.0001590742 0.00064735545 0.00036493494 0.00026455655 0.00014546358 2.9773248e-05 2.9773248e-05 2.2117269e-05 4.4234537e-05 2.637059e-05 3.9130555e-05 0.00017013284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00070690195 4.5085202e-05 9.3573064e-05 5.1039853e-05 5.444251e-05 7.996243e-05 0.00031729776 0.00021436738 5.6143836e-05 8.506642e-07 2.5519926e-06 8.506642e-07 3.232524e-05 3.4026568e-06 3.0623913e-05 5.274118e-05 0.0006856354 0.00071200595 0.00018884745 0.00033175905 0.00011143701 0.00011058635 0.00018714613 0.00013695694 8.761841e-05 5.1890514e-05 0.00014886624 4.1682546e-05 3.657856e-05 0.00011909299 0.0003113431 0.00022287402 0.20595856 0.13136126 0.10117545 0.083723225 0.07137668 0.06042778 0.049302794 0.043875556 0.03952441 0.028464925 0.023187404 0.018701002 0.0154693285 0.009968934 0.008263352 0.006431872 0.007282536 0.004960223 0.0010276024 0.0020228794 0.0021964149 0.003673168 0.0015915927 0.0027170214 0.004402187 0.00047211864 0.00058100367 0.00083620293 0.0022636175 0.0006958433 0.003526003 0.0053055924 0.0007477338 0.0005656917 0.00042448143 0.00043298808 0.00050019054 0.0005095478 0.0004176761 0.00044319604 0.0004729693 0.00029262848 0.00038450022 0.00033856436 0.00039981218 0.00037684423 0.00034792165 0.00031389509 6158.0 6.220039 38303.0 0.014489727 0.01642169 0.014463619 0.014985771 0.015090202 0.016500013 0.014202543 0.015534031 0.014045897 0.013993682 0.012871055 0.014463619 0.012897162 0.013602068 0.012401117 0.014150328 0.012427225 0.013549852 0.012427225 0.013027701 0.011147952 0.010886876 0.011043522 0.011670104 0.011382921 0.0129232695 0.0097642485 0.012296687 0.012192257 0.011487351 0.010625799 0.011017414 0.011696212 0.0111740595 0.01018197 0.011800642 0.01007754 0.012949377 0.011539566 0.011017414 0.009581495 0.01083466 0.008693836 0.0097642485 0.010129754 0.010208078 0.00918988 0.009503172 0.009973109 0.010155862 0.009477064 0.01073023 0.008928805 0.017361565 0.008276114 0.010312508 0.009659817 0.008458868 0.0071012713 0.008484975 0.0071012713 0.00832833 0.008119469 0.007832285 0.0073101325 0.011435135 0.007623424 0.01018197 0.009398742 0.01707438 0.0074406704 0.008145576 0.007910607 0.011121844 0.0068924106 0.0068924106 0.010390831 0.007153487 0.009581495 0.009398742 0.0077800695 0.006370258 0.01172232 0.009712033 0.0122183645 0.008067253 0.006657442 0.006866303 0.006396366 0.006396366 0.005299846 0.005639245 0.0061352896 0.005508707 0.0053259535 0.0053259535 6.5294967 0.0 0.0 0.0 15.0 589312.0 90112.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1216019600.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 32768.0 4096.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.937199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4680624 0.0 2.5225751 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 87552.0 932.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.010055768 0.007908405 0.00698499 0.007222509 0.008305886 0.0052617677 0.0072346274 0.005935545 0.008725178 0.005109077 0.0060785413 0.005150279 0.008022317 0.005060604 0.0055768434 0.0059403926 0.007925371 0.00493215 0.0049054893 0.004643734 0.006400888 0.0043916735 0.004648581 0.0046098027 0.0063596857 0.004229288 0.0042898795 0.0040111584 0.005605927 0.003730014 0.0037809107 0.004214746 0.0074697225 0.0050557563 0.0039190594 0.0037978764 0.005828904 0.0043310816 0.004057208 0.004362589 0.00478673 0.0039820746 0.0034973423 0.0043819784 0.0046825125 0.003657304 0.0039990405 0.0037033537 0.0059719 0.0031168277 0.0037154718 0.0034100907 0.0053320536 0.0031846901 0.0035845942 0.0039384486 0.0047115963 0.0031919612 0.003221045 0.0045395168 0.0046606995 0.0030489652 0.0030271523 0.0031968085 0.0066893036 0.0046413103 0.005038791 0.0052763093 0.00491276 0.004035395 0.004558906 0.0046122265 0.006371804 0.004231712 0.0039748037 0.0039626854 0.004888524 0.004108105 0.003843926 0.0039166356 0.0059016137 0.0033640412 0.004064479 0.004508009 0.004365013 0.0036597278 0.0037881818 0.0037712161 0.0049612336 0.0029083928 0.0035288502 0.0033761594 0.0040911394 0.0029835263 0.0029374768 0.0034173618 0.005215718 0.004020853 0.002944748 0.0030853201 0.004328658 0.0030465415 0.003480377 0.003143488 0.004951539 0.00414446 0.0030392706 0.0030538125 0.0038972464 0.0032452818 0.0030465415 0.0034828004 0.0053611374 0.002571504 0.0038560443 0.003242858 0.0058046677 0.005278733 0.0031580299 0.0037203191 0.004173544 0.0028429541 0.0023315616 0.0027750914 0.0039844983 0.0030683544 0.0031968085 0.003315568 0.006529342 0.0047964244 0.004013582 0.005215718 0.004910337 0.0043407762 0.0037906053 0.0038899756 0.0048133903 0.0049636574 0.0027969044 0.0054702023 0.0036233729 0.0041759675 0.0026878398 0.0028671906 0.006330602 0.0028453777 0.0036912353 0.0033252626 0.0033398045 0.002944748 0.002956866 0.003228316 0.0033567701 0.0023194433 0.002779939 0.0026320955 0.0032743656 0.0022685465 0.0027993282 0.0027557022 0.0037687924 0.003664575 0.0023509508 0.0025496911 0.004035395 0.0027557022 0.0027435839 0.0032452818 0.0033979723 0.0025448438 0.0021013138 0.0023339854 0.0034512929 0.0025957406 0.0022176495 0.0026902633 0.0047964244 0.0027338893 0.0023267143 0.0023267143 0.004129918 0.002607859 0.00291324 0.0032622474 0.0047552222 0.003022305 0.0033761594 0.0027484312 0.0032477053 0.002258852 0.0027217711 0.0029277822 0.0058531407 0.004105681 0.0039990405 0.0041614254 0.00397238 0.0022297679 0.0038923991 0.0037494032 0.0051405844 0.0037736397 0.002421237 0.0026466376 0.002901122 0.0022806649 0.0021594816 0.0030392706 0.004706749 0.002707229 0.003458564 0.0031410644 0.003708201 0.0022297679 0.0031240988 0.0031919612 0.004585566 0.0025133363 0.0028986982 0.0030901674 0.0036548804 0.002571504 0.0026466376 0.0031483353 0.005450813 0.0032355872 0.002578775 0.002508489 0.0055307937 0.002021333 0.002021333 0.0028599196 0.0042462535 0.0024624392 0.002157058 0.0054702023 0.0041105286 0.0026466376 0.0025908933 0.0032452818 0.0054483893 0.0024018479 0.0027484312 0.0022636992 0.003986922 0.0018468295 0.0028017517 0.003393125 0.0047334093 0.002043146 0.0020164857 0.0025109125 0.0032380107 0.0019316577 0.0024890995 0.0048570163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011908705 9.619506e-05 0.00015586035 8.5236126e-05 9.375974e-05 8.645379e-05 0.00017656056 0.00013516015 8.036549e-05 4.74887e-05 3.409445e-05 5.4794655e-05 5.966529e-05 6.6971246e-05 5.2359337e-05 7.793018e-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 0.10648306 0.07864129 0.07141083 0.061836377 0.075006574 0.06156849 0.057963002 0.05861567 0.068917066 0.050875008 0.046418376 0.050145634 0.05636909 0.05136938 0.053176384 0.04871001 2626.0 5.8271136 15302.0 0.021892563 0.011436414 0.0104561495 0.007972814 0.015357469 0.010390799 0.008691674 0.014311855 0.012678081 0.00836492 0.0084302705 0.011044308 0.010717553 0.008560972 0.011436414 0.0077767614 0.017121945 0.008626323 0.009671939 0.0075153573 0.013396941 0.0072539537 0.007972814 0.00980264 0.01261273 0.009018429 0.008168867 0.012089923 0.011305711 0.0064697424 0.0067964974 0.0077767614 0.015880277 0.011436414 0.012482028 0.01470396 0.01189387 0.009279832 0.012285976 0.01189387 0.017252646 0.011632467 0.010129395 0.008691674 0.012547379 0.00914913 0.010260097 0.010978957 0.016403085 0.008495621 0.008757025 0.011828519 0.012416678 0.00836492 0.009018429 0.010652202 0.011567116 0.006600444 0.009214481 0.008953078 0.009541237 0.0058162333 0.0072539537 0.00836492 0.012939485 0.01189387 0.0073193046 0.008887727 0.012351327 0.010652202 0.00914913 0.0090837795 0.013854398 0.013266239 0.0073846555 0.0074500064 0.012808783 0.008887727 0.010260097 0.011436414 0.014246504 0.006012286 0.013004836 0.008626323 0.018625017 0.013527644 0.00771141 0.010586851 0.010782904 0.0073193046 0.0054894784 0.0058162333 0.0097372895 0.0056855315 0.0077767614 0.008560972 6.528181 0.0 0.0 0.0 7.0 412599.0 2203648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536226300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 622592.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -619008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.922965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -622592.0 0.0 0.0 0.0 0.0 0.0 1544192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 808.0 2200284.0 29404.0 2170880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2166936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0