Input: 0.16265549 0.009632078 0.00472661 0.0070493743 0.0073021594 0.0032003587 0.0018386561 0.0022893774 0.0054658884 0.0015954098 0.0016311813 0.0015763317 0.0037679335 0.0019722031 0.0017361111 0.004063645 0.0041208793 0.0013068529 0.0015334059 0.0013712416 0.0027472528 0.008840335 0.0013140072 0.0012114622 0.0023370727 0.0018219628 0.0033482143 0.003157433 0.0046956083 0.0028927235 0.0018982753 0.0017337264 0.004500057 0.0010516827 0.002098596 0.0013593178 0.003431681 0.006541419 0.0013378549 0.0016836462 0.002713866 0.0010397589 0.0010469132 0.0010254503 0.0023275337 0.0010993781 0.0015167125 0.0009634463 0.004915007 0.003720238 0.003300519 0.004864927 0.0046097566 0.0042401175 0.0039420216 0.0038203984 0.004678915 0.0038299374 0.0037250076 0.0044762096 0.0048768506 0.0035342262 0.00375124 0.006853823 0.016657604 0.0063577914 0.036052924 0.0058212187 0.005873684 0.01912107 0.002251221 0.0021606 0.0044237445 0.0025111607 0.002024668 0.001018296 0.0027186356 0.011337187 0.0024300786 0.0014857105 0.009472298 0.0026399381 0.0016073337 0.005642361 0.0035914606 0.0037440858 0.0050127823 0.0036582341 0.004905468 0.003894326 0.0037941658 0.001254388 0.0029642666 0.0025755495 0.0015429449 0.0026470926 0.002704327 0.00524172 0.0017432654 0.0022869925 0.0046002176 0.011184562 0.0018791972 0.0021653695 0.0062671704 0.0057830624 0.004361741 0.0013974741 0.0057735234 0.0022464516 0.0058426815 0.0056042047 0.003958715 0.001120841 0.0050843256 0.0048148464 0.010958009 0.005620898 0.0019865118 0.0064412584 0.0071185324 0.0015644078 0.0019173535 0.0009229052 0.0020723634 0.0019698185 0.0013354701 0.0012901595 0.0033458294 0.0025469323 0.0012043079 0.004900698 0.0030858899 0.0021653695 0.0017742674 0.0010540675 0.0024825435 0.006231399 0.0014284761 0.013905582 0.0017909608 0.012605884 0.0026637858 0.0012949291 0.0019197382 0.00088236417 0.0013736264 0.0012090774 0.0017003396 0.0010469132 0.0015381754 0.0008871337 0.0019030449 0.0011423039 0.0009181357 0.00087759463 0.0017027244 0.000956292 0.0013760112 0.00087759463 0.0021510608 0.0026971726 0.0047933836 0.0032313606 0.0029547275 0.0010683761 0.0019602794 0.0011685364 0.0021319827 0.0019197382 0.0014928648 0.0012186165 0.001819578 0.0010707609 0.0015977946 0.0011756907 0.002170139 0.0033577534 0.0011423039 0.0015763317 0.0018553495 0.0009968331 0.001757574 0.0011494582 0.0030477336 0.0015500992 0.0011470735 0.0009753701 0.0018458104 0.0009157509 0.0012567728 0.0011613821 0.0036868514 0.0018553495 0.0016478747 0.0030453487 0.0046932236 0.0009395986 0.005902301 0.0039444063 0.0027711005 0.0014952496 0.0012305403 0.0012925443 0.004082723 0.0009014423 0.001965049 0.001788576 0.002489698 0.00096583104 0.0011089172 0.00128539 0.0024563111 0.00080128206 0.001316392 0.0013283158 0.0044475924 0.0034459897 0.0012663119 0.0014046284 0.003238515 0.0014451694 0.0012591576 0.0013330854 0.003023886 0.0010683761 0.0014761714 0.0012663119 0.002580319 0.0010206808 0.0012305403 0.0009825245 0.008294223 0.0016764919 0.0012925443 0.0022536058 0.0037250076 0.0012066927 0.0014356304 0.0010707609 0.0051034037 0.0014857105 0.0012496185 0.0009825245 0.0019268926 0.00094198337 0.0016908005 0.0020699787 0.0028951084 0.0011160715 0.001254388 0.0013974741 0.007919814 0.0013187767 0.0025779342 0.044320915 0.004901961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022702685 3.5903033e-06 4.7870712e-06 1.1967678e-06 0.0 0.0 2.3935356e-06 6.582223e-05 5.0264247e-05 0.0 0.0 0.0 9.5741425e-06 0.0 7.1806066e-06 3.5903035e-05 0.004276051 3.829657e-05 2.7525659e-05 2.5132123e-05 2.154182e-05 2.0345053e-05 5.1461015e-05 3.1115964e-05 0.00012566062 1.4361213e-05 2.5132123e-05 1.7951517e-05 1.9148285e-05 1.1967678e-05 2.154182e-05 0.00017472809 0.001979454 1.5557982e-05 1.3164446e-05 0.00025850185 2.2738588e-05 1.675475e-05 1.3164446e-05 1.9148285e-05 1.4361213e-05 1.675475e-05 8.377375e-06 1.675475e-05 7.1806066e-06 2.154182e-05 1.5557982e-05 1.1967678e-05 0.0020057827 4.787071e-05 3.231273e-05 1.7951517e-05 6.821576e-05 8.616728e-05 1.4361213e-05 7.1806066e-06 5.983839e-06 9.5741425e-06 9.5741425e-06 2.7525659e-05 1.4361213e-05 1.077091e-05 8.2576975e-05 1.077091e-05 0.0031451057 0.00012805415 6.223193e-05 0.000134038 0.000108905864 8.018344e-05 4.5477176e-05 3.5903035e-05 2.5132123e-05 1.5557982e-05 2.154182e-05 4.428041e-05 3.231273e-05 2.3935356e-06 4.1886873e-05 0.000978956 0.0047224457 7.300283e-05 0.00016276042 7.8986675e-05 9.813496e-05 0.000114889706 0.000118480006 0.00016276042 0.00023935355 7.8986675e-05 8.7364046e-05 8.616728e-05 0.000108905864 3.5903035e-05 4.906748e-05 0.0011357326 0.032576017 0.0015869141 0.0012494256 0.001282935 0.005962297 0.0013236251 0.0007755055 0.0009981043 0.0009406595 0.0006438611 0.00028722428 0.0004523782 0.0004751168 0.0004607556 0.00063668046 0.0042700674 0.008840524 0.0011883904 0.00067258347 0.0019423541 0.01654292 0.007892683 0.016074985 0.012335085 0.0004092946 0.0003003887 0.00017353133 0.00030278225 0.00025132124 0.0002190085 0.00019387637 0.0012877221 0.02439611 0.0014540729 0.0017748066 0.004880419 0.02020503 0.009211522 0.016712861 0.013883702 0.0013188381 0.0007013059 0.0009657916 0.0009801527 0.0011800131 0.0012338676 0.0014504825 0.002592199 0.025561763 0.008359423 0.004448386 0.038433 0.01113712 0.0035579905 0.0044854856 0.0043059704 0.0046985103 0.0036561256 0.0038990695 0.0036908318 0.0032695695 0.003519694 0.0044280407 0.007352941 0.011983235 0.0045632757 0.0030577416 0.0023983226 0.0077538583 0.0021613627 0.0057696174 0.0036764706 0.0008054247 0.0008580825 0.0010591395 0.0010184493 0.0006737803 0.000639074 0.00055051316 0.0020512599 0.040463913 0.0068263635 0.006912531 0.0042521157 0.024868835 0.009565765 0.0073517445 0.005815095 0.021125345 0.0016395719 0.008215811 0.004523782 0.011724734 0.004266477 0.006798838 0.024374569 0.041420132 0.009538239 0.00501326 0.0052693686 0.025622798 0.01432172 0.00773471 0.0068227733 0.023016239 0.0028973748 0.0072416416 0.004642262 0.013389437 0.009252212 0.00986017 0.024741977 0.01136331 0.0104382085 0.010264677 0.010234758 0.010122262 0.010622511 0.010006175 0.010018143 0.009797938 0.009456859 0.010421454 0.0100815715 0.0100911455 0.009898466 0.009520288 0.009426939 2918.0 23.58499 68821.0 0.0082387645 0.0011479055 0.0019034888 0.0014675753 0.0030804551 0.0016564712 0.0013368012 0.0013803926 0.0029932724 0.0009008878 0.0011624359 0.0010897836 0.0036180818 0.0011188445 0.0036180818 0.0014966362 0.011115793 0.0094012 0.007003676 0.007425059 0.009023408 0.0075994246 0.0084421905 0.008311417 0.010127722 0.0074686506 0.0077011376 0.007584894 0.008616556 0.006872902 0.007643016 0.028479679 0.08267825 0.030252393 0.020386219 0.0120893335 0.010113192 0.020226384 0.0045189695 0.0060301363 0.012597899 0.008572965 0.0030223334 0.0016710015 0.0067857197 0.008166112 0.007744729 0.00324029 0.014094535 0.004693335 0.0026009502 0.017538251 0.008340477 0.011057671 0.013062873 0.008921696 0.016346755 0.0016128798 0.016651895 0.00129321 0.0024411154 0.0011043141 0.0009880705 0.008834513 0.0029496811 0.027113818 0.0038069775 0.009023408 0.015068075 0.049069326 0.0037633863 0.00745412 0.0081225205 0.028770288 0.0016419407 0.0019906715 0.023539327 0.008819982 0.028566862 0.029075427 0.0121183945 0.0008863574 0.023481205 0.018860523 0.044535823 0.009430261 0.00485317 0.03344909 0.03331832 0.004271952 0.0033855946 0.00055215706 0.0024847067 0.000711992 0.0010752532 0.0011043141 5.854404 0.0 0.0 0.0 3.0 419328.0 376832.0 0.0 0.0 1271.0 1.0 1.0 0.0 0.0 0.0 1298897900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 9.0 0.0 5.0 0.0 5.0 0.0 167424.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -35328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -167424.0 0.0 33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4057527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8390393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7160416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.358196 0.0 4.3168254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34834.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108294.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166952.0 0.0 33096.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 3.0 1.0 -1.0 2.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 1.0 3.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 2.0 0.0 2.0 0.0 0.0 0.0 -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 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -4.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 2.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 -1.0 2.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 3.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 2.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 2.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 2.0 -1.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 -3.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 -2.0 1.0 -1.0 -2.0 -1.0 -1.0 1.0 -1.0 3.0 2.0 1.0 1.0 1.0 1.0 0.0 1.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 5.0 0.0 -3.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 3.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -3.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 2.0 -3.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 4.0 1.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 2.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 4.0 0.0 -1.0 0.0 -2.0 1.0 -2.0 1.0 0.0 0.0 0.0 -3.0 -1.0 0.0 2.0 0.0 -2.0 2.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -4.0 1.0 1.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 1.0 0.0 0.0 3.0 0.0 0.0 -1.0 3.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 2.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -2.0 2.0 0.0 1.0 0.0 0.0 -2.0 1.0 4.0 0.0 1.0 2.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 2.0 -2.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 1.0 3.0 2.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 -2.0 0.0 -1.0 0.0 2.0 0.0 1.0 -2.0 -2.0 2.0 1.0 -1.0 1.0 0.0 0.0 -2.0 2.0 1.0 0.0 1.0 2.0 1.0 0.0 0.0 2.0 2.0 -1.0 -1.0 -2.0 -1.0 2.0 1.0 0.0 2.0 1.0 1.0 -3.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 3.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -3.0 0.0 1.0 -2.0 1.0 -1.0 -2.0 -1.0 1.0 -1.0 0.0 -3.0 1.0 0.0 -1.0 0.0 2.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 -1.0 1.0 1.0 4.0 -3.0 -1.0 1.0 2.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 2.0 2.0 1.0 0.0 -1.0 1.0 0.0 3.0 -3.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 2.0 -1.0 0.0 -1.0 2.0 -1.0 -2.0 1.0 0.0 2.0 0.0 -1.0 0.0 -2.0 -2.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 1.0 0.0 -1.0 1.0 -2.0 2.0 0.0 4.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 -2.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 2.0 -1.0 2.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 1.0 0.0 2.0 1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 3.0 0.0 2.0 -1.0 1.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 3.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 2.0 1.0 2.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 -2.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 1.0 1.0 -1.0 -3.0 0.0 0.0 0.0 0.0 -1.0 -2.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 3.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 224132.0 33096.0 303104.0 0.0 0.0 0.0 0.0 31644.0 339968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5128.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.08177439 0.0051345825 0.00696818 0.003812154 0.006884257 0.0029881794 0.004297892 0.00365448 0.0042826333 0.0031178792 0.0073547363 0.0030237834 0.003918966 0.0033340454 0.003479004 0.0038070679 0.005391439 0.0055389404 0.003921509 0.0048472085 0.0039621987 0.0038706462 0.0042012534 0.0043818154 0.0043996177 0.0037282307 0.0034942627 0.004096985 0.0037562053 0.0039952598 0.003969828 0.005355835 0.0055770874 0.004231771 0.003868103 0.0036849976 0.0036036174 0.004160563 0.00390625 0.004096985 0.005340576 0.003496806 0.003908793 0.0039393106 0.0034510295 0.0036239624 0.0042800903 0.0036417644 0.0045293174 0.003791809 0.0037333171 0.0035069783 0.0031611125 0.0036621094 0.0034535725 0.003748576 0.0037994385 0.0035730998 0.0036900837 0.003791809 0.0040664673 0.0034306843 0.0035909016 0.0038757324 0.004422506 0.0035298665 0.0036595662 0.003595988 0.0031229656 0.003481547 0.0031763713 0.0034383137 0.0031738281 0.0034662883 0.0033416748 0.003270467 0.0033187866 0.0031153362 0.0033950806 0.0031534832 0.0035909016 0.0032043457 0.0033747356 0.0031280518 0.003112793 0.003308614 0.003270467 0.0034306843 0.003674825 0.0031636555 0.0030136108 0.0031433105 0.0031178792 0.0031534832 0.0032806396 0.0034866333 0.0034891765 0.0036493938 0.0035069783 0.0033543904 0.0032043457 0.0034077961 0.0028889973 0.0033976238 0.0026957195 0.0031458538 0.003016154 0.0034917195 0.0031458538 0.003346761 0.0033798218 0.0063451133 0.0040690103 0.003440857 0.0042902627 0.0043563843 0.0035298665 0.003786723 0.0031763713 0.0037027996 0.003519694 0.004084269 0.0031483967 0.005935669 0.0034713745 0.0035934448 0.0035425823 0.0037765503 0.0038528442 0.0034103394 0.0034993489 0.003364563 0.0032577515 0.0027923584 0.0031636555 0.0033671062 0.0032475789 0.0032043457 0.002916972 0.003133138 0.003168742 0.0030212402 0.002746582 0.0031204224 0.0028152466 0.0029830933 0.0028686523 0.003306071 0.0026957195 0.0032221477 0.0024032593 0.002766927 0.0026601155 0.002652486 0.0027160645 0.0025075276 0.003074646 0.0031255085 0.0031051636 0.0029347737 0.002843221 0.0027033489 0.0029347737 0.0026957195 0.002805074 0.0025660198 0.002418518 0.0025583904 0.003018697 0.0027414958 0.0027135212 0.0027898152 0.0026041667 0.0027414958 0.0027720134 0.0031738281 0.002438863 0.0024592082 0.0022939045 0.0026474 0.0025049846 0.0028254192 0.0024897258 0.002843221 0.002588908 0.0026194255 0.0027211506 0.0028076172 0.0032170613 0.0026931763 0.002916972 0.0033111572 0.0029856365 0.0030517578 0.002609253 0.0030415852 0.0027974446 0.0027898152 0.002766927 0.0027872722 0.002766927 0.003229777 0.0026550293 0.00247701 0.0023549397 0.0024490356 0.0030212402 0.0029932659 0.0026372273 0.0024286907 0.0025380452 0.0026957195 0.002904256 0.002550761 0.0026779175 0.0029017131 0.0025609334 0.0026016235 0.002665202 0.0029754639 0.0026728313 0.0027058918 0.0030899048 0.0030390422 0.0032653809 0.0029729207 0.0029525757 0.0027821858 0.003194173 0.0026016235 0.0025812786 0.0030593872 0.0027414958 0.0025965373 0.002955119 0.0027567546 0.0026804607 0.0029652913 0.002746582 0.0032806396 0.003270467 0.002942403 0.0030721028 0.0030212402 0.0026931763 0.0028966267 0.0030263264 0.0031356812 0.0031840007 0.0028915405 0.002960205 0.002922058 0.003364563 0.003168742 0.004142761 0.06922404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021481826 1.40237435e-05 0.0 1.2748857e-05 0.0 0.0 0.0 8.9242e-06 1.9123287e-05 0.0 0.0 0.0 2.0398173e-05 0.0 1.5298629e-05 0.00037226666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020296182 6.3744286e-05 4.3346117e-05 6.3744286e-05 2.8047487e-05 2.4222829e-05 1.6573515e-05 1.6573515e-05 1.6573515e-05 6.3744287e-06 3.824657e-06 7.649314e-06 2.0398173e-05 0.0 1.5298629e-05 0.00025497715 0.0018881059 0.00012238903 8.541735e-05 4.0796345e-05 5.4820088e-05 2.67726e-05 1.5298629e-05 1.1473972e-05 1.5298629e-05 3.824657e-06 8.9242e-06 3.824657e-06 2.0398173e-05 6.3744287e-06 1.1473972e-05 0.0002957735 0.011929106 0.0016611762 0.0008044529 0.00072923466 0.00046788307 0.00028429952 0.0002600767 0.00046278353 0.00012876347 9.6891315e-05 6.24694e-05 3.952146e-05 6.1194514e-05 4.4621003e-05 5.736986e-05 0.0011869187 0.0273514 0.003670396 0.0025688948 0.0009523397 0.00083887484 0.0006858885 0.0024350318 0.0055954736 0.0011282739 0.00020015707 0.00021290593 0.00010071597 0.00011473972 0.00014788675 0.00027537532 0.00071903557 0.018924404 0.004193099 0.0037991595 0.0020640402 0.0013233314 0.001305483 0.0013756017 0.0019467506 0.00053545204 0.00030852234 0.0002243799 0.00011728949 0.0001695598 0.00037481642 0.00020143195 0.007523101 0.010900273 0.0058581 0.003549282 0.001942926 0.0011422976 0.001639503 0.0016815744 0.0011091506 0.00056859903 0.00092811685 0.00025370228 0.0002511525 0.0002957735 0.0005099543 0.0005711488 0.007962937 0.0060225604 0.003022754 0.0042109475 0.0041433787 0.0025956675 0.002623715 0.0031107212 0.0030265788 0.0023177424 0.0018957552 0.0015413369 0.0017249205 0.0019403761 0.0016904986 0.0019671489 0.026051017 0.0074593564 0.004304014 0.003729041 0.004173976 0.00396362 0.0027639524 0.0027614026 0.0021252346 0.0015247634 0.00063744286 0.0005265278 0.0004309114 0.0004041388 0.00030724748 0.00036971687 0.011516043 0.006218893 0.0031884892 0.0038259323 0.0031833898 0.0029819577 0.0027601277 0.0032445842 0.0029284125 0.00256507 0.0017542428 0.0010097096 0.00065019174 0.00057752326 0.000502305 0.00056222465 0.011044336 0.0034243432 0.0015987067 0.0019951963 0.0015030904 0.0016203799 0.0013858009 0.0017593424 0.0016216547 0.0014151232 0.0011869187 0.0011971177 0.0010301077 0.0006973625 0.0005762484 0.00053035247 0.0045679156 0.049194016 0.04123363 0.040235396 0.040616587 0.039648946 0.038974535 0.03883047 0.042599034 0.041038573 0.03882027 0.039054852 0.039026804 0.040425353 0.039494686 0.04157275 0.04458658 1287.0 7.4390054 9574.0 0.019740965 0.008042616 0.007938166 0.007938166 0.007415918 0.009609358 0.007415918 0.010027157 0.008355964 0.008355964 0.008669313 0.007833716 0.011176102 0.008564863 0.0231878 0.007833716 0.018278671 0.011385001 0.008669313 0.010862754 0.008147065 0.012116148 0.008773763 0.0088782115 0.008147065 0.009504909 0.007207019 0.007833716 0.008147065 0.012011698 0.009087111 0.008042616 0.010653854 0.007833716 0.009087111 0.012220598 0.011698349 0.009087111 0.010131607 0.0073114685 0.009504909 0.010653854 0.007938166 0.010027157 0.0073114685 0.00929601 0.0088782115 0.0066847713 0.010444955 0.010549405 0.0088782115 0.012533946 0.011280552 0.009818258 0.008564863 0.00689367 0.007938166 0.007729267 0.0063714227 0.007624817 0.007415918 0.0071025696 0.0066847713 0.009818258 0.008251514 0.01880092 0.010444955 0.011280552 0.010758304 0.02778358 0.012011698 0.012011698 0.007415918 0.018069772 0.007729267 0.011176102 0.017025277 0.01389179 0.018174222 0.019009817 0.008773763 0.007520368 0.021725507 0.014100689 0.019427616 0.0151451845 0.007729267 0.012220598 0.010340505 0.0130561935 0.0059536244 0.006266973 0.007415918 0.007415918 0.004909129 0.00699812 6.489723 0.0 0.0 0.0 5.0 393216.0 753664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3934084000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 529920.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -529920.0 0.0 201216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.51995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -529812.0 0.0 200898.0 0.0 0.0 0.0 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 87.0 537908.0 200898.0 540672.0 0.0 0.0 0.0 0.0 12.0 745472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.016381497 0.004491843 0.0041239765 0.004120456 0.003970845 0.004025409 0.0041521383 0.003983166 0.003995487 0.003953244 0.0039426833 0.0038793187 0.0038036332 0.0038634776 0.0038740383 0.0039990074 0.0038740383 0.0039074807 0.0038018732 0.0037613902 0.0040042875 0.003840596 0.0039479635 0.0037895523 0.0037737112 0.003731468 0.003787792 0.0037613902 0.003912761 0.003844116 0.003731468 0.003771951 0.004146858 0.0036645832 0.0037508295 0.0036716238 0.004261266 0.0037825117 0.0037261876 0.0037525897 0.0037367484 0.0037666706 0.0037684308 0.003909241 0.003815954 0.0037807517 0.0038617174 0.003868758 0.0043457523 0.0039796457 0.003977886 0.0038370756 0.0038388357 0.0038493965 0.003914521 0.0038053934 0.0038053934 0.003800113 0.003969085 0.0038458763 0.0038669978 0.003828275 0.003701546 0.0039180415 0.0039022004 0.0040130885 0.00403421 0.003926842 0.0038722781 0.0036980256 0.0037121067 0.0038916396 0.0039022004 0.0038036332 0.0037367484 0.0037825117 0.0038546768 0.0036628232 0.0037543497 0.00375787 0.0038881192 0.0036346612 0.0038546768 0.0038881192 0.0038036332 0.0037965928 0.0038757985 0.003715627 0.0037543497 0.0036064992 0.0039074807 0.0038511567 0.0039198017 0.00362058 0.0036945054 0.0036874649 0.003939163 0.003977886 0.0039004402 0.0038634776 0.0039198017 0.0039849263 0.003840596 0.003923322 0.0037684308 0.003951484 0.0037543497 0.003828275 0.0039321226 0.003914521 0.0038212345 0.0040852535 0.0038828389 0.0038317952 0.0039022004 0.0041134157 0.004134537 0.0039479635 0.0037068264 0.003786032 0.0037913125 0.0038669978 0.0038053934 0.0037789915 0.0039884467 0.0037367484 0.003646982 0.0039074807 0.003928602 0.0037191473 0.0039849263 0.0038863593 0.0038476365 0.0038036332 0.003925082 0.003592418 0.0037050662 0.004157419 0.0038141941 0.003965565 0.0038546768 0.003771951 0.0038177143 0.0036593028 0.0038212345 0.0037825117 0.0037701908 0.0036593028 0.003840596 0.0037385086 0.003868758 0.003840596 0.0037825117 0.0036962656 0.0037561099 0.0038423561 0.0039462033 0.0038018732 0.003812434 0.0036628232 0.003868758 0.0038177143 0.0038353156 0.004021889 0.0037701908 0.0037085863 0.003675144 0.0037649104 0.003771951 0.0038740383 0.0037930724 0.003786032 0.0036945054 0.0037332282 0.0038265148 0.0038106737 0.0038581972 0.0038247549 0.003747309 0.0037525897 0.0039602844 0.0036857047 0.0039162813 0.0038370756 0.0038458763 0.0037490693 0.003800113 0.0037983528 0.003881079 0.0037807517 0.0037666706 0.0036821845 0.0038229947 0.0040553315 0.0038476365 0.0038740383 0.0038740383 0.0037261876 0.0037402688 0.0038740383 0.0038300352 0.0036417015 0.0038300352 0.0037543497 0.003717387 0.0038458763 0.0037068264 0.0037121067 0.0038916396 0.0037807517 0.0036980256 0.003812434 0.003856437 0.0038089135 0.0037332282 0.0038881192 0.0037420287 0.0037913125 0.0037684308 0.00389868 0.0037613902 0.0037385086 0.003648742 0.0037385086 0.0037789915 0.0035818573 0.0036980256 0.0036980256 0.003868758 0.0038634776 0.0037684308 0.0037825117 0.0038370756 0.0038863593 0.0036945054 0.003856437 0.0037613902 0.0037789915 0.0037807517 0.0038353156 0.0037772313 0.0038141941 0.0037754711 0.00375963 0.0038335554 0.003914521 0.0037385086 0.0038265148 0.0038722781 0.003884599 0.003881079 0.0038898794 0.003784272 0.003926842 0.0041274964 0.009230103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013968552 3.6201684e-05 2.7372005e-05 2.6489037e-05 4.591433e-05 3.6201684e-05 7.9467114e-05 3.796762e-05 1.9425293e-05 3.1786843e-05 8.829679e-06 7.0637434e-06 7.946711e-06 1.0595615e-05 4.4148396e-06 3.1786843e-05 0.0012617612 5.474401e-05 4.238246e-05 4.0616524e-05 4.0616524e-05 3.0903877e-05 3.8850587e-05 2.119123e-05 3.0903877e-05 2.0308262e-05 1.4127487e-05 1.4127487e-05 1.5893422e-05 1.1478583e-05 1.9425293e-05 0.00015098751 0.0011416775 5.5626977e-05 4.149949e-05 3.1786843e-05 3.1786843e-05 3.1786843e-05 3.0020909e-05 1.2361551e-05 2.4723102e-05 3.0903877e-05 2.0308262e-05 2.0308262e-05 2.119123e-05 3.1786843e-05 4.149949e-05 0.00024105023 0.0019116255 0.00013421112 0.00012184957 8.564789e-05 0.000104190214 7.15204e-05 6.975447e-05 5.032917e-05 6.887149e-05 4.9446204e-05 4.149949e-05 4.9446204e-05 4.591433e-05 5.2978074e-05 6.357369e-05 0.0006957787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005249244 0.0006763534 0.0007046084 0.0005368445 0.0005545038 0.00048828125 0.00047150487 0.00048121752 0.00042205866 0.0003434745 0.00021014636 0.00031698548 0.00034259155 0.00027901787 0.00042470757 0.0047733244 0.0007867244 0.00010154131 8.917976e-05 8.2116014e-05 9.5360534e-05 9.9775374e-05 9.447757e-05 8.829679e-05 9.271163e-05 0.00012626441 8.917976e-05 0.00010595615 0.00010330725 0.00012538144 0.00017217874 0.0013641854 0.00227894 0.00025164586 0.0005615676 0.0003055069 0.00043088835 0.00027460302 0.00040793116 0.00029844316 0.0006004182 0.00016952984 0.0001456897 0.00020131668 0.00039998445 0.00018895513 0.00026224146 0.00045561144 0.0014092168 0.00043088835 0.00053242967 0.00074434193 0.00038409105 0.00036731464 0.0009297652 0.00041146303 0.0003823251 0.0002366354 0.00028166675 0.00021809308 0.00019336997 0.00022427384 0.00022162494 0.00026577333 0.060428556 0.059630353 0.059083797 0.06022724 0.059654195 0.05917651 0.059844915 0.06032878 0.059930563 0.05976015 0.060093913 0.06011422 0.05989083 0.059796352 0.05940961 0.05923037 2633.0 6.276111 16525.0 0.016701967 0.008108926 0.009440242 0.008048411 0.009379728 0.009016641 0.008956127 0.007806354 0.0085930405 0.008774584 0.009440242 0.008774584 0.008956127 0.012768532 0.012829047 0.01246596 0.01688351 0.011921331 0.011679274 0.010166414 0.011316188 0.010408472 0.009863842 0.0096823 0.0105295 0.011013616 0.012163389 0.009742814 0.0101059005 0.008653555 0.008411498 0.0101059005 0.008956127 0.011860817 0.009016641 0.0105295 0.009379728 0.009379728 0.008956127 0.0116187595 0.00871407 0.010347958 0.0085930405 0.008350983 0.010166414 0.0101059005 0.008835099 0.00871407 0.009984871 0.0085930405 0.008895612 0.011437217 0.007987897 0.009742814 0.010408472 0.007685325 0.009984871 0.008653555 0.0091376705 0.010226929 0.008653555 0.00871407 0.008048411 0.0077458397 0.009742814 0.016399395 0.010832072 0.0131316185 0.0106505295 0.014826021 0.009016641 0.015068078 0.010771559 0.014644478 0.009258699 0.008411498 0.014039334 0.012586989 0.014341907 0.016520424 0.011376702 0.009198184 0.014039334 0.014644478 0.016520424 0.009258699 0.009803329 0.009803329 0.00871407 0.010408472 0.009258699 0.008895612 0.008290469 0.0091376705 0.008895612 0.009379728 6.5534286 0.0 13.0 0.0 5.0 568141.0 1892352.0 0.0 0.0 6.0 0.0 1.0 1.0 0.0 0.0 1534951800.0 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 -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 10.0 0.0 5.0 1.0 5.0 1.0 544768.0 4096.0 4096.0 4.0 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 -512.0 0.0 0.0 0.0 0.0 -544256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.712886 0.0 0.0 0.0 0.0 -7.9991627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.068636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -544768.0 0.0 0.0 0.0 0.0 0.0 1323008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 1871872.0 15348.0 1875968.0 0.0 0.0 6040.0 561152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.2357182 0.012272992 0.005278577 0.0048202784 0.01250771 0.002545059 0.0033699973 0.002834601 0.013819216 0.011013741 0.0059938664 0.0023917216 0.006466728 0.005448191 0.000675884 0.0013346354 0.0055501303 0.001031387 0.0034530908 0.0010459499 0.0029759458 0.0004617256 0.00083007815 0.00038120203 0.0036124247 0.0048836693 0.0012523986 0.0037717584 0.0052828602 0.00057737116 0.0036004318 0.0005019874 0.0039756373 0.0008060924 0.0009088884 0.0018520422 0.002210115 0.0016738623 0.0005962171 0.0032432154 0.0028894257 0.0010365269 0.001527378 0.002163857 0.002276076 0.001981394 0.001864035 0.0021689967 0.004194936 0.004353413 0.0010785019 0.007677152 0.0026804071 0.0016130414 0.0025990268 0.0005885074 0.0023797287 0.0007863898 0.0023257607 0.00040261788 0.0022418106 0.0015607867 0.00073156523 0.00047029194 0.006764837 0.004289165 0.0024696751 0.0020524946 0.0022906386 0.001536801 0.0026153028 0.0014134457 0.0022169682 0.0019308525 0.0018537554 0.0011478893 0.0037195038 0.0015496504 0.001969401 0.00208162 0.0031352795 0.00065532484 0.0011358964 0.0012506853 0.003419682 0.0012558252 0.0004488761 0.0005148369 0.004317434 0.0005705181 0.00027240955 0.000208162 0.0022460937 0.0003854852 0.0005859375 0.001966831 0.0032029536 0.0012849506 0.0008540639 0.0013080798 0.0034179688 0.0028525905 0.007262541 0.0037015146 0.007260828 0.002455969 0.001162452 0.002455969 0.006243147 0.0021047492 0.0015230948 0.0017475329 0.0043165777 0.00090631854 0.002062774 0.0012189898 0.0055424203 0.0008129454 0.0012361226 0.0025467721 0.004194936 0.000451446 0.0013586212 0.00022443804 0.0006313391 0.00027326617 0.00045315927 0.00060735334 0.003352008 0.00031352797 0.00030753153 0.00022015488 0.0015650699 0.00029039884 0.00062534265 0.00047628838 0.0014554207 0.00066303456 0.00064504525 0.00023471765 0.00057480123 0.00021244517 0.0003983347 0.0006261993 0.00059707375 0.00029039884 0.00021244517 0.00056966144 0.0006570381 0.00018160636 0.00040004798 0.00017903646 0.0007949561 0.004642955 0.00016961349 0.0002484238 0.0005885074 0.00023814419 0.0002809759 0.0002638432 0.00062534265 0.00164902 0.00021330181 0.00020987527 0.00058422424 0.0002107319 0.004619826 0.0026589911 0.000685307 0.0004968476 0.00057737116 0.00035121985 0.00060392683 0.0033879867 0.00030496164 0.0004394531 0.00088318944 0.0008446409 0.0013363487 0.0042120684 0.007522958 0.0027103892 0.0010613692 0.00062020286 0.0016533032 0.00044202304 0.0013243558 0.0010305304 0.00063990545 0.00033665707 0.00035807292 0.0010356703 0.0022143982 0.0004360266 0.0003529331 0.0013757538 0.00074784126 0.00034864995 0.0018597519 0.002163857 0.0013294956 0.0004137541 0.00042660363 0.0005054139 0.005194627 0.00036663926 0.0016730058 0.00041461075 0.0007504112 0.00032552084 0.00058936403 0.0005045573 0.001197574 0.00029125548 0.0004231771 0.00052425987 0.00079067296 0.0003015351 0.00044287965 0.00330061 0.003761479 0.00080095255 0.00032809074 0.00033323054 0.0021852728 0.0005088405 0.00028354579 0.000416324 0.0010999178 0.00042660363 0.0005568119 0.0013629043 0.0011470326 0.00037863213 0.0007684005 0.0011907209 0.0019128632 0.0012618216 0.00032123766 0.0015702097 0.0014374314 0.00062534265 0.00041204086 0.0013183594 0.0067751165 0.0029219778 0.0012952302 0.0026589911 0.0048922356 0.004415947 0.0072831004 0.011957751 0.020841043 0.074211895 0.0067057293 0.16595395 0.0035242846 1.7147718e-06 3.8582366e-06 3.0008505e-06 8.573859e-07 2.5721577e-06 7.716473e-06 6.859087e-06 3.4295435e-06 4.7156223e-06 4.7156223e-06 1.0288631e-05 1.1146016e-05 6.001701e-06 2.1434647e-05 0.10174298 0.0008612441 4.286929e-06 8.4452506e-05 0.00010803062 9.4312445e-06 1.9291181e-05 0.00022463509 6.6018714e-05 3.943975e-05 2.9151119e-05 3.1723277e-05 0.0002426402 0.00010374369 7.159172e-05 9.902807e-05 0.025222149 0.0007995123 1.1574709e-05 3.1723277e-05 3.6010206e-05 1.7147717e-05 9.4312445e-06 8.145166e-05 4.7584916e-05 3.4295434e-05 2.6150268e-05 2.9579813e-05 8.102296e-05 8.273774e-05 7.7593424e-05 8.145166e-05 0.007332364 0.00015261468 6.430394e-06 0.00022206294 0.0002126317 8.145165e-06 1.1574709e-05 0.00044712672 4.7584916e-05 4.2869295e-05 2.1005953e-05 2.8722427e-05 0.00045355712 8.530989e-05 6.1731786e-05 6.001701e-05 0.012186025 0.0028889617 0.000163332 0.00012046271 1.9291181e-05 0.00010374369 6.001701e-06 4.5870143e-05 2.5721576e-05 3.1294585e-05 3.6010206e-05 4.501276e-05 3.815367e-05 3.6010206e-05 8.7024666e-05 8.273774e-05 0.0015381502 0.008150739 0.00037253415 0.00018905358 9.431245e-05 0.0005217193 3.1294585e-05 0.0001517573 0.0003455265 0.00023835327 0.00018776751 9.431245e-05 7.88795e-05 0.00018433796 0.00012517834 6.430394e-05 0.0023393773 0.030703416 0.0019222591 0.0011227467 0.0012534981 0.002214199 0.00083466514 0.0008801066 0.0006293212 0.00027522087 0.0001453269 0.00014918514 0.00032837878 0.000631036 0.00023792457 0.00033309442 0.0048716664 0.030133255 0.0013731035 0.0016577556 0.0024744156 0.004750775 0.002667756 0.0028778156 0.0013829634 0.00051871844 0.0004561293 0.00036224554 0.0016684729 0.0008269487 0.0006391812 0.0018206589 0.015748892 0.031507645 0.0015261469 0.003008567 0.003134174 0.0046050195 0.0023393773 0.0056771804 0.0034501208 0.0011034556 0.0005170037 0.00070048426 0.003439832 0.0011634727 0.001169903 0.0015210025 0.022932928 0.03960351 0.0033768143 0.003056152 0.0032344882 0.004032286 0.0016573268 0.0066027287 0.003637031 0.0020637277 0.0010794488 0.0032400612 0.005504846 0.0018292328 0.002557582 0.0020247167 0.024489513 0.053662065 0.005909532 0.005844371 0.0066696047 0.0047460594 0.003319798 0.011560991 0.005193615 0.0018017964 0.001956126 0.0046110214 0.0069491123 0.003867239 0.0034441191 0.0036288856 0.0331131 0.090266444 0.017408792 0.013084995 0.01261729 0.01007214 0.009190319 0.013698454 0.008676745 0.0037026207 0.0029236858 0.0039992766 0.0026647553 0.004943258 0.003071585 0.0037309146 0.048412293 0.031619534 0.0067253346 0.0026081677 0.0055155633 0.0075201313 0.0020808754 0.006184324 0.0030432912 0.0019398355 0.002786504 0.004069153 0.00407344 0.0055790097 0.0028726712 0.0017049118 0.013520975 0.0020238594 0.00041711822 0.00014061129 0.0003206623 0.0012822206 0.00019033966 0.00038625233 0.00025935922 0.00015004253 0.00011746187 0.00020405784 0.00045955883 0.0004548432 0.0001637607 0.00015647292 0.0002970842 8.145166e-05 1.629033e-05 1.5004252e-05 2.0148567e-05 4.501276e-05 2.2720726e-05 3.943975e-05 3.943975e-05 2.2292032e-05 3.6867594e-05 6.430394e-05 3.943975e-05 3.9868442e-05 9.1311595e-05 7.373519e-05 0.0002306368 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1458.0 11.421124 16652.0 0.0073865 0.000120105695 0.0013211627 0.00048042278 0.00018015855 0.0016814797 0.0049843863 0.00024021139 0.0020417967 0.000120105695 0.000120105695 0.0 0.00048042278 0.000120105695 0.0072663943 0.0 0.0025822725 0.004263752 0.0036031709 0.0037833294 0.0019216911 0.000780687 0.0010809512 0.00024021139 0.00030026422 0.0003603171 0.001141004 0.00024021139 0.00030026422 6.0052847e-05 0.000120105695 0.00024021139 0.00060052844 0.014833053 0.006305549 0.01879654 0.015493634 0.01921691 0.012731204 0.005464809 0.002822484 0.012430939 0.000120105695 0.0033029066 0.032608695 0.01585395 0.013451838 0.009608455 0.015253423 0.006005285 0.014712947 0.023060294 0.019457122 0.0053447033 0.0044439104 0.003543118 0.0017415326 0.0017415326 0.0005404756 0.0 0.0025222194 0.0 6.0052847e-05 0.0034230123 0.00030026422 0.028525103 0.012911362 0.024561614 0.026663464 0.071042515 0.0059452318 0.00780687 0.006245496 0.033689648 0.0003603171 0.003903435 0.03398991 0.05314677 0.028585155 0.04455921 0.021498919 0.0024021138 0.04425895 0.024441509 0.045339897 0.018196013 0.0029425896 0.1065938 0.008527504 0.008467452 0.00042036994 0.00024021139 0.00048042278 0.0 0.00018015855 0.0007206342 5.2998114 12.0 0.0 0.0 1.0 1167360.0 1200128.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1179836900.0 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 4.0 7.0 6.0 0.0 4.0 0.0 4.0 0.0 1110016.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1110016.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4901 0.0 4.709641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1109832.0 0.0 49272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1113284.0 49272.0 1146880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 304.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05666681 0.008302325 0.0061716125 0.0056539467 0.0057502324 0.004962345 0.0042013763 0.00541582 0.0050410302 0.005620816 0.0037499715 0.004457103 0.0049540624 0.0031877863 0.0043266513 0.0046403566 0.005044136 0.0037572188 0.004940603 0.0041527157 0.0043577114 0.0031795038 0.004107161 0.0038472926 0.0050741606 0.0033420508 0.003174327 0.0029268828 0.0041402914 0.0034528314 0.0037913849 0.0037934554 0.0061654006 0.0038151974 0.0034901032 0.003014886 0.0048919423 0.004175493 0.0038535048 0.0037230528 0.0047273245 0.00390113 0.0033348035 0.0030977125 0.004373241 0.003710629 0.0037313355 0.0035791418 0.0055090003 0.003948755 0.0031070304 0.002902035 0.0036847456 0.003077006 0.0026949686 0.002861657 0.0041620336 0.0033223794 0.0035273752 0.0033399803 0.0040119104 0.0032198818 0.0035014919 0.0034538666 0.0065960987 0.003948755 0.0036195198 0.003224023 0.004156857 0.003220917 0.0035366933 0.003083218 0.005006864 0.0037831021 0.003713735 0.003589495 0.004132009 0.0031256664 0.0035501525 0.0034600787 0.005164235 0.0036226257 0.0036412617 0.0033348035 0.0039259777 0.0033855347 0.0033606868 0.0035449758 0.0046434626 0.003648509 0.0038100209 0.0035159865 0.004107161 0.0033824288 0.0036847456 0.0037903495 0.005911744 0.0036350498 0.0033420508 0.002955872 0.004017087 0.003052158 0.003273719 0.0030324867 0.0049664862 0.0031608678 0.003192963 0.003052158 0.003573965 0.0028347382 0.003083218 0.0032002104 0.004496446 0.0032944256 0.0032260937 0.0031463732 0.0038856 0.0033265208 0.0032892488 0.0036246963 0.00461965 0.0033006375 0.003476644 0.0031598324 0.0040408997 0.0031950336 0.0034652553 0.0033430862 0.0086450195 0.0045865197 0.00402537 0.0035242692 0.0043701353 0.0034279833 0.0030283453 0.0034041707 0.004540965 0.0038307274 0.0029641548 0.0031919277 0.0037240882 0.002796431 0.0028502683 0.0029755435 0.0052294605 0.003202281 0.0034849267 0.0030252393 0.0036661096 0.003177433 0.0033058142 0.003270613 0.004547177 0.002839915 0.00304284 0.0027084278 0.0035149513 0.003227129 0.0029890027 0.0031515497 0.005006864 0.0034072767 0.0032685422 0.002793325 0.0037717135 0.0030076387 0.0030490519 0.0031877863 0.0041402914 0.0030076387 0.0031132426 0.0030221334 0.0036433323 0.0028316323 0.002921706 0.003039734 0.0046672756 0.0031142777 0.003835904 0.0028502683 0.0035656826 0.0031525851 0.0029890027 0.0031235958 0.0042552133 0.0031453378 0.003335839 0.0031784684 0.0036619683 0.0031867512 0.0033265208 0.00335551 0.0067120558 0.004054359 0.0037199468 0.0033472276 0.0041185496 0.003248871 0.0033078848 0.003230235 0.004335969 0.0033275562 0.0031142777 0.003083218 0.003645403 0.0029848614 0.0030749352 0.0028047136 0.004251072 0.0032726836 0.0030790765 0.003005568 0.0037033816 0.0030045328 0.0029330947 0.0029413775 0.0039808503 0.003099783 0.002728099 0.0026483785 0.0035408344 0.0029548367 0.003592601 0.0028782221 0.0049613095 0.0032468003 0.0033907115 0.0029714021 0.003814162 0.0030718292 0.0031981396 0.0029009995 0.0044426084 0.005442739 0.003467326 0.003140161 0.0037986322 0.0030728646 0.003248871 0.0032012458 0.0046175797 0.003315132 0.0034238421 0.0030511227 0.0037458302 0.0030852885 0.003315132 0.0032354116 0.0043525347 0.0030418045 0.0031867512 0.0028740808 0.004016052 0.0030946066 0.0042334716 0.0045140465 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 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 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 0.09915375 0.062025715 0.06245905 0.055321954 0.060619444 0.05956202 0.054961186 0.05447135 0.060490895 0.053167712 0.052126355 0.05295882 0.05642603 0.050531927 0.05666136 0.05386074 4027.0 5.703005 22966.0 0.017112253 0.010406688 0.009361665 0.008708525 0.01341113 0.012540277 0.011800053 0.011495254 0.012583819 0.009710006 0.008534355 0.00862144 0.013890099 0.010624401 0.011887138 0.009971262 0.016676826 0.01193068 0.008708525 0.007489332 0.009797092 0.00844727 0.0077941306 0.008316642 0.010319603 0.008403727 0.009666463 0.008839154 0.011495254 0.008969781 0.009579378 0.009187494 0.018026648 0.010885657 0.010406688 0.009143952 0.010842115 0.008882696 0.010711486 0.00844727 0.0142384395 0.011582339 0.009753549 0.008969781 0.011451711 0.009361665 0.011625881 0.009579378 0.014760951 0.009579378 0.009971262 0.008969781 0.012061308 0.009318123 0.009579378 0.009840634 0.013672385 0.009231037 0.010537316 0.009579378 0.011190455 0.009840634 0.010406688 0.010667944 0.018026648 0.010972742 0.009710006 0.008142471 0.013062788 0.0082295565 0.009361665 0.008316642 0.015414091 0.009318123 0.008882696 0.008664983 0.011321084 0.008011844 0.009927719 0.008098929 0.013193416 0.008011844 0.0087520685 0.0087520685 0.011451711 0.00944875 0.008098929 0.007924758 0.010885657 0.008969781 0.012017765 0.008490813 0.011321084 0.008969781 0.010014804 0.008839154 6.5546923 0.0 0.0 0.0 14.0 965874.0 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: 0.17563285 0.017106222 0.005011922 0.0040128655 0.0040114187 0.0032105818 0.0023099117 0.00209867 0.0045322883 0.0020118584 0.0019597716 0.0020487534 0.001831001 0.0018519805 0.001470733 0.0052159294 0.0047883824 0.0019040675 0.0012370651 0.0027215432 0.00072270643 0.0014917124 0.00054618955 0.0005548707 0.0016877619 0.0007458562 0.00051218836 0.00081024144 0.0005273804 0.00062432 0.00080373057 0.0011538706 0.050614048 0.001438902 0.00087535015 0.0010330578 0.006223667 0.0008131352 0.00051942264 0.00072342984 0.0023453597 0.00072053616 0.0004601014 0.00084858324 0.001196553 0.00096360856 0.005785992 0.00064529944 0.0031071312 0.00096867257 0.0008189226 0.0022209296 0.0008160289 0.00054546614 0.0006149154 0.00046805912 0.0018114684 0.00077117624 0.0008341146 0.0012660023 0.00084930664 0.0011176992 0.0003371183 0.00046878256 0.0027620553 0.012294691 0.002532728 0.0067618988 0.009858903 0.01791791 0.0029870418 0.0034276107 0.01933294 0.011794801 0.0005787439 0.0015893754 0.009345991 0.0060341284 0.008762906 0.010393517 0.007391283 0.00067713036 0.01717929 0.0088772075 0.012228859 0.0043123653 0.0050495407 0.0017362317 0.0022592715 0.0015278839 0.00049554947 0.0008124117 0.0017463597 0.0007176424 0.00053389126 0.0197084 0.0016964431 0.019418305 0.003976694 0.011639986 0.01206681 0.03606081 0.0060710236 0.0042465334 0.010128018 0.020198885 0.00059682963 0.0017210396 0.010370367 0.0060145957 0.018960373 0.020545408 0.008414936 0.0008572644 0.019345239 0.016421134 0.027820218 0.009159345 0.003756048 0.0027085214 0.002521153 0.0038088583 0.0005917656 0.00042392992 0.0008550941 0.00047818714 0.00038848183 0.00042682362 0.01516092 0.0010692293 0.00065108686 0.0041712965 0.0013354515 0.0032764138 0.00046878256 0.0005165289 0.0015662257 0.004451264 0.00035520407 0.011506875 0.0004608248 0.0044990103 0.00029371254 0.0003154154 0.0015293307 0.00027345648 0.0003732898 0.00030456396 0.0003899287 0.00034724633 0.0002741799 0.00028141422 0.00093684165 0.00033639488 0.00026839247 0.00029009537 0.00043405793 0.0003515869 0.00031903258 0.00033567144 0.0021485868 0.001056931 0.0009889286 0.0010185892 0.0010692293 0.0010077378 0.0016392921 0.00124864 0.0018382353 0.0010323344 0.0010135253 0.0009983332 0.0010981666 0.0010287173 0.0011119117 0.0010699527 0.0013643887 0.00031903258 0.00029949995 0.00028937194 0.0003783538 0.00026766906 0.0008399021 0.0005114649 0.0017810843 0.0007964963 0.0006033405 0.0003848647 0.0004116316 0.0003103514 0.0003783538 0.00037618354 0.0046928898 0.0013108549 0.0007697294 0.0022404622 0.0017311677 0.0004333345 0.00079287915 0.0011155289 0.0019098548 0.001186425 0.00057802047 0.00065542746 0.005830121 0.0005035072 0.00055631757 0.00061129825 0.0017919358 0.0005787439 0.0008304975 0.00042754706 0.00048397458 0.00042392992 0.00039282243 0.00047095286 0.0015763537 0.0005064009 0.0003508635 0.0005989999 0.00038197098 0.0003154154 0.00027707365 0.00030818113 0.0016826979 0.00045431397 0.00034001205 0.00032988403 0.00044346252 0.00028864853 0.00029009537 0.0003457995 0.004190829 0.0009838647 0.0005266569 0.0014331145 0.0010598247 0.0004261002 0.00032626686 0.00034796976 0.0021478634 0.0004984432 0.00035520407 0.00062359654 0.0004499734 0.00034001205 0.0006952161 0.0007198127 0.0016732933 0.0007755168 0.0006098514 0.00047457 0.00078347453 0.0007147487 0.0015409056 0.012980502 0.0014836795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013043775 3.8396003e-05 2.6804757e-05 4.3467176e-06 1.8111323e-05 1.5213511e-05 1.5213511e-05 1.34023785e-05 1.4126831e-05 2.535585e-06 2.535585e-06 2.1733588e-06 2.8978116e-06 2.1733588e-06 5.07117e-06 1.630019e-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 0.0022896333 2.028468e-05 1.4489058e-05 1.7024642e-05 0.003966017 0.0023925058 1.1591246e-05 9.780114e-06 6.0491817e-05 1.122902e-05 1.8111323e-05 4.165604e-05 1.5937963e-05 1.2677926e-05 7.6067554e-06 1.3040152e-05 0.021992216 0.0005328351 0.00046075205 0.00040714254 0.0018640173 0.001596332 0.00033650838 0.0003807 0.0024979135 0.0004122137 0.0003477374 0.000342304 0.00030028573 0.00034266623 0.00034882408 0.00047850114 0.0395765 0.0013815317 0.0014883885 0.0012949596 0.0013572625 0.0012471457 0.0020675885 0.0012815571 0.005960436 0.00065961434 0.00083855423 0.0006559921 0.0006842458 0.0006520076 0.00074437534 0.0009407021 0.026144419 0.0010497322 0.0036106731 0.0008063161 0.0028087038 0.0029238919 0.011134479 0.005953916 0.0039283456 0.0005636244 0.00063099846 0.0005864446 0.0008218918 0.000611076 0.00071249943 0.0022530486 0.06061751 0.0030973984 0.04583034 0.0013695782 0.062085975 0.0532136 0.13814665 0.06619869 0.0015604715 0.00047487888 0.0004082292 0.0003491863 0.0005777512 0.00048248563 0.000507117 0.0012819194 0.02352045 0.0023244072 0.00891222 0.0018031632 0.014611852 0.013752289 0.023283916 0.011439111 0.0014431102 0.0004987858 0.0009888782 0.00039518904 0.00046220096 0.00048429676 0.00037888886 0.0010424877 0.007841116 0.0021277182 0.0015057754 0.0012040407 0.0017636806 0.0013800828 0.0019654408 0.0013536402 0.0012902506 0.0009171574 0.01244755 0.0008932504 0.0011055152 0.0010388654 0.0012022295 0.001281195 0.0061980565 0.0013525536 0.0010004694 0.0006520076 0.0026822868 0.00049951026 0.0009515689 0.0009044794 0.002337085 0.00044300294 0.0005915158 0.000523055 0.000907015 0.0004466252 0.00068098574 0.0013431357 0.03284742 0.005901031 0.008512322 0.0059021176 0.027401345 0.0054330346 0.0028720936 0.006845718 0.024011629 0.0016195144 0.0016090099 0.0035078009 0.0149382185 0.0035860417 0.006056064 0.012161391 0.007641529 0.0018176523 0.0027927659 0.002295429 0.006945692 0.0018433704 0.0017977299 0.0025236316 0.0060057146 0.0005382685 0.00053211063 0.0010950105 0.0041963933 0.0011761492 0.0019074845 0.0036269734 0.00277393 0.0011355799 0.0010678435 0.0011714404 0.0009874293 0.0009950361 0.0012601858 0.0011047907 0.0009968472 0.0008823836 0.00093309535 0.000899046 0.00089397485 0.0008599256 0.0009030305 0.0009396154 16816.0 39.21563 659450.0 0.09735537 0.00013192813 7.733717e-05 0.00021229812 0.0006065661 0.0006186974 4.8525286e-05 0.0006657063 0.0007202972 0.0006566078 0.0001304117 0.0001197968 0.0009447267 0.0011282129 0.011370081 0.00055045873 0.0009765713 0.00095534156 0.0006505421 0.00071726437 0.00025627416 0.00034119343 0.00035332475 0.0001395102 0.00033361133 0.00048676928 0.000876488 0.00016377284 0.00015770718 0.00021229812 6.97551e-05 6.672227e-05 0.000259307 0.018979453 0.0038001365 0.012334521 0.014383198 0.03350216 0.0053241337 0.0061778757 0.004182273 0.01917962 0.00030479944 0.0019182652 0.011342785 0.009861248 0.01763136 0.020973539 0.011506558 0.0006186974 0.035282433 0.017510045 0.023929032 0.0076791267 0.009887027 0.0025642582 0.0022321632 0.002556676 0.0003912351 0.00014709227 0.00082038064 0.00044430964 0.0003078323 0.040015165 5.914019e-05 0.03996967 0.0077306847 0.023345212 0.023666691 0.07473501 0.010772614 0.008184093 0.018729243 0.04154826 0.0007278793 0.0028948367 0.02003791 0.011952384 0.0389931 0.042253394 0.014057169 0.0012798544 0.039152324 0.033156417 0.05103192 0.015176283 0.0071089542 0.004747896 0.0025642582 0.0069694445 0.00060353323 0.00013192813 0.00010766548 0.00010311623 2.5779058e-05 4.2459626e-05 5.222509 0.0 42.0 0.0 7.0 1382304.0 1380352.0 1.0 587.0 139.0 1.0 1.0 1.0 0.0 0.0 1541707000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 502.0 22.0 10.0 0.0 5.0 2.0 5.0 2.0 296960.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 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 978432.0 0.0 0.0 0.0 0.0 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -296960.0 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 -5.2669044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4856596 0.0 0.0 0.0 0.0 5.768437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1799417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4565134 0.0 3.4295385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36626.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 978413.0 0.0 0.0 0.0 0.0 19596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -296512.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 3.0 1.0 -1.0 -2.0 1.0 2.0 -2.0 -1.0 2.0 -3.0 2.0 1.0 2.0 0.0 1.0 2.0 1.0 -2.0 -1.0 1.0 1.0 3.0 0.0 2.0 0.0 6.0 -2.0 6.0 0.0 1.0 3.0 2.0 -2.0 2.0 -3.0 1.0 -3.0 -3.0 4.0 2.0 -3.0 3.0 -1.0 -1.0 3.0 1.0 0.0 -2.0 1.0 4.0 -2.0 -1.0 0.0 0.0 2.0 5.0 2.0 3.0 0.0 4.0 2.0 -2.0 2.0 -2.0 4.0 1.0 0.0 -4.0 -3.0 -1.0 2.0 2.0 0.0 3.0 3.0 1.0 -2.0 -1.0 2.0 -2.0 2.0 1.0 2.0 2.0 5.0 1.0 2.0 2.0 -1.0 3.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 3.0 -2.0 -3.0 1.0 -6.0 0.0 -3.0 1.0 0.0 2.0 4.0 3.0 -1.0 -1.0 1.0 -6.0 -1.0 -5.0 -2.0 -1.0 0.0 -1.0 2.0 2.0 0.0 0.0 4.0 -3.0 0.0 16989.0 1264528.0 160.0 1260528.0 1000.0 1339392.0 19596.0 1318912.0 36256.0 1346048.0 33044.0 1343488.0 28.0 304384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1168.0 303104.0 0.0 0.0 0.0 0.0