Input: 0.13953367 0.007111292 0.0031388192 0.0033040203 0.0056856684 0.0036328929 0.0019686455 0.0018370965 0.0073988643 0.0013782048 0.0016183581 0.0014042086 0.004318171 0.00131396 0.0010967512 0.003386621 0.005514349 0.0014638646 0.0011533479 0.0008810721 0.0023663517 0.0019487601 0.00075870095 0.0008107087 0.002199621 0.0007265785 0.0008000012 0.00066539296 0.0014868091 0.000555259 0.0005659665 0.0005430219 0.0037980939 0.00052925514 0.0005782036 0.0005124291 0.0038852831 0.0014409199 0.0004390064 0.00050631055 0.00090401666 0.0006225631 0.000555259 0.0007892937 0.0009912062 0.0026707498 0.0006623337 0.00042523965 0.007694084 0.004059662 0.005390448 0.010965982 0.005450104 0.0030837522 0.0049529714 0.002750291 0.006086434 0.0031082265 0.000643978 0.001369027 0.0017040179 0.0009774393 0.000461951 0.00050325127 0.011599253 0.004211096 0.0052359547 0.00923902 0.0038118605 0.034655504 0.0031770603 0.0028588953 0.00364513 0.0035854739 0.00096673187 0.0010936919 0.002266925 0.004178974 0.0011028697 0.0014730424 0.008313588 0.002101724 0.0019946494 0.009783572 0.003042452 0.014087976 0.0026049754 0.0017346106 0.0019151081 0.0065545035 0.0027013426 0.0026753386 0.0015938838 0.004767885 0.0018172112 0.0037919753 0.005370563 0.005194654 0.0021751467 0.004041306 0.009679556 0.0066845226 0.004139203 0.0020986649 0.007767507 0.004844367 0.003525818 0.0019227563 0.0035181697 0.0022485694 0.0047694147 0.0042447485 0.0033361427 0.0019885309 0.0053093773 0.0045369095 0.00957554 0.0055174083 0.002292929 0.0016581287 0.003013389 0.0012252409 0.00048336593 0.0004956031 0.0014975166 0.002601916 0.0010248582 0.00086883496 0.0042371 0.0011411108 0.0011472293 0.008549153 0.0027105203 0.0026814572 0.00101721 0.0005659665 0.0025835603 0.015547251 0.0020696016 0.047648255 0.0012175927 0.011343803 0.000940728 0.0006913968 0.002448952 0.00042829892 0.00071587105 0.0005521997 0.0011533479 0.0009131945 0.0015831764 0.0005980889 0.0011992371 0.00057361467 0.0005323144 0.0007143414 0.0008780128 0.00044512496 0.00045583243 0.0004267693 0.0008397718 0.0031005784 0.0004741881 0.0027625281 0.0014011493 0.0006975154 0.0005521997 0.00045583243 0.0010065025 0.00047265846 0.0005323144 0.00048795485 0.0008244754 0.0004191211 0.0007954123 0.0003915876 0.001131933 0.0007219896 0.0017682627 0.0005093698 0.0008673053 0.00071128213 0.0007296378 0.0015097538 0.0029246698 0.0022623362 0.005191595 0.00073116744 0.0009927357 0.0004956031 0.0008000012 0.00073881564 0.011668087 0.0012558337 0.0023250515 0.009258905 0.0043671196 0.001105929 0.0030745745 0.0034049766 0.0018233297 0.0017850888 0.0009713208 0.0013261971 0.0016275359 0.000995795 0.0010845141 0.0010309768 0.002848188 0.0011977074 0.002970559 0.0012497151 0.0018738079 0.00083671254 0.0015694096 0.00088413135 0.0029139624 0.0006837486 0.0009835579 0.0016764844 0.0014990462 0.00075564167 0.0005521997 0.0008673053 0.0025116673 0.0007403453 0.0008902499 0.0011395811 0.0024642486 0.0026707498 0.0005674961 0.00075564167 0.02584478 0.00652697 0.0011472293 0.0058875806 0.0069690356 0.0011518182 0.0007143414 0.0007403453 0.0075533576 0.0010692177 0.001847804 0.00093919836 0.009590837 0.0010401546 0.0021047834 0.002618742 0.010583573 0.0034768695 0.003398858 0.0041346145 0.015005759 0.004469605 0.004728114 0.07192669 0.0 0.0 0.0 0.004696545 0.0 0.0 8.431858e-06 4.5991956e-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 0.0027158249 0.0 0.0 0.00026445373 0.00015943877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011934913 0.0 0.0 0.00022919325 0.00014717426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018540889 0.0 0.0 0.01091619 0.00664967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020167471 0.0 0.0 0.0015943878 0.0010984412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00068144745 4.5991956e-06 2.2229444e-05 8.278552e-05 0.00018396782 9.3516974e-05 7.665326e-06 9.198391e-06 1.9163313e-05 0.0 0.0 2.2995978e-06 9.964923e-06 3.832663e-06 6.1322608e-06 0.00044305582 0.0075357817 0.0002544888 0.0002636872 0.0006806809 0.002361687 0.0006032611 0.0030247376 0.0013161364 0.00024069122 0.00012417827 0.000114213355 9.2750444e-05 0.00083015475 0.00046988446 0.00049518 0.0035705087 0.015376643 0.00073357165 0.0011222037 0.0025556197 0.0046022614 0.0043362747 0.007915982 0.0036119015 0.0005005458 0.00027441865 0.00035720418 0.00039706388 0.0025372228 0.0013444981 0.0013636615 0.0110557 0.017761325 0.0010041577 0.0011482658 0.0030262705 0.005998884 0.0025640514 0.0056907376 0.0027679491 0.0022758353 0.00087154756 0.0010432508 0.0014955051 0.004714175 0.0028982596 0.0031182545 0.011125454 0.01994441 0.0015223337 0.0013054049 0.0021524234 0.00996339 0.003968339 0.004977096 0.0026935954 0.005991985 0.0014993377 0.0017331302 0.002527258 0.004271886 0.0019316621 0.0041959994 0.009814683 0.07732474 0.010476967 0.007941278 0.010857168 0.04642121 0.033273645 0.0228649 0.01470976 0.05494889 0.0056370804 0.006490998 0.009931963 0.01776746 0.007351814 0.030268071 0.06759591 0.049018227 0.008413462 0.0074162027 0.010011682 0.02364753 0.024659352 0.014379385 0.011965574 0.040177803 0.0052032233 0.0054646106 0.0076492284 0.016967965 0.009338667 0.02131957 0.041070815 0.0002889828 5.902301e-05 0.000106548025 6.438874e-05 0.00011191375 0.00012264522 5.365728e-05 8.125245e-05 0.00016633757 3.602703e-05 4.139276e-05 3.602703e-05 0.00010424843 7.435366e-05 9.045084e-05 0.00013261013 4307.0 20.266775 87289.0 0.0049719894 0.000103105776 0.0003322297 5.7280988e-05 0.0027723997 0.0004467917 5.7280988e-05 0.00012601817 0.00022912395 0.0003207735 0.0006644594 0.0004926165 0.00027494875 0.013988017 0.00096232054 0.0003665983 0.037049342 0.023141518 0.036877498 0.018364284 0.033222973 0.020048345 0.03401345 0.017482158 0.036820218 0.019452622 0.0007102842 0.00026349255 0.0007904776 0.0005040727 6.873719e-05 8.019338e-05 0.0011685321 0.0071715796 0.00593431 0.0119373575 0.005017814 0.014675389 0.0034368592 0.002027747 0.0037576328 0.016153239 0.002027747 0.0033337534 0.006094697 0.005075095 0.0036430708 0.007137211 0.011330179 0.001970466 0.005063639 0.017539438 0.009646118 0.0053844126 0.0053271316 0.0028067683 0.0025891005 0.00406695 0.0011685321 0.0018902726 0.0009394082 0.0019131849 0.0018788164 0.020552417 0.00019475535 0.02904146 0.013426663 0.027105363 0.025581688 0.045996632 0.012315412 0.0119373575 0.016462555 0.032524142 0.009199326 0.0096346615 0.019956695 0.013357926 0.03279909 0.028938355 0.016714592 0.0060717845 0.033532288 0.027609436 0.034987226 0.012624729 0.012086288 0.008821272 0.01358705 0.005636449 0.0007217404 0.00024058014 0.0004353355 0.00024058014 0.00022912395 0.00027494875 5.719574 0.0 1.0 14.0 4.0 653749.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5895658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.37301975 0.005533854 0.0020887586 0.0013563368 0.0047200522 0.0024414062 0.00094943575 0.0012207031 0.0058322484 0.0008951823 0.0012478299 0.00062391494 0.0031195746 0.0024142796 0.0004611545 0.0016276041 0.0021430121 0.0007595486 0.0002983941 0.00054253475 0.0011664496 0.004014757 0.00013563369 0.00027126737 0.0014648438 0.00035264756 0.00013563369 0.00035264756 0.0007595486 0.014973958 0.014702691 0.00027126737 0.0073242188 0.00035264756 0.0012749566 0.00018988716 0.0008409288 0.0024956597 0.00035264756 0.00016276042 0.0013563368 0.00048828125 0.00032552084 0.00018988716 0.00048828125 0.0011121961 0.0018174914 0.0006510417 0.0030110676 0.0024956597 0.0024685329 0.004340278 0.001953125 0.0023871528 0.0012749566 0.0010579427 0.0013834635 0.0012749566 0.0011935764 0.00094943575 0.0014105903 0.001844618 0.0014648438 0.0014105903 0.0013834635 0.0009765625 0.0006781684 0.0007052951 0.0010850695 0.010064019 0.0008951823 0.0002983941 0.00086805556 0.00086805556 0.000515408 0.00013563369 0.0011935764 0.0049913195 0.0007595486 0.0007866754 0.0048285592 0.0022243923 0.0021430121 0.001437717 0.0010850695 0.006157769 0.0007866754 0.00062391494 0.0008409288 0.00018988716 0.00035264756 0.0002983941 0.0006781684 0.0023600261 0.0004611545 0.0038791234 0.000515408 0.0042860243 0.0013292101 0.0034722222 0.0039333766 0.010932075 0.0020887586 0.0015733507 0.004014757 0.0057237414 0.0024685329 0.0013292101 0.0043674046 0.0028483074 0.005343967 0.0056966147 0.0024414062 0.00035264756 0.006917318 0.004909939 0.008870442 0.0053982204 0.00094943575 0.0007052951 0.0016276041 0.0026312934 0.0006510417 0.00021701389 0.00043402778 0.0026041667 0.00027126737 0.0002983941 0.0010850695 0.0014648438 0.0002983941 0.008327908 0.001953125 0.0033908421 0.00024414062 5.4253473e-05 0.0005967882 0.005967882 0.00043402778 0.0160319 0.0012207031 0.0014919705 0.00013563369 0.00016276042 0.0025499132 0.005018446 0.0006781684 0.00021701389 0.00054253475 0.0008409288 0.0008409288 0.0007324219 0.0011664496 0.0008951823 0.0007595486 0.0007324219 0.00054253475 0.00021701389 2.7126736e-05 0.000108506945 0.0008951823 0.0015190972 0.0002983941 0.0008409288 0.00054253475 5.4253473e-05 0.00027126737 0.000108506945 0.0004611545 0.00040690103 0.00035264756 0.00013563369 0.00035264756 2.7126736e-05 5.4253473e-05 0.00013563369 0.0011121961 0.000108506945 0.00013563369 0.00013563369 0.00056966144 5.4253473e-05 0.0008409288 0.00024414062 0.0010036892 0.00043402778 0.00035264756 0.00024414062 0.00043402778 0.00013563369 0.00013563369 0.00018988716 0.0043674046 0.0007324219 0.0006510417 0.0022515191 0.0033637153 0.00024414062 0.0006510417 0.0024142796 0.001030816 0.00056966144 0.000108506945 8.138021e-05 0.20266384 0.0003797743 0.00021701389 0.00016276042 0.0008409288 0.00027126737 0.00035264756 0.00013563369 0.0006781684 5.4253473e-05 0.00016276042 0.00016276042 0.0008409288 0.00021701389 0.0002983941 0.000108506945 0.0006781684 0.00048828125 2.7126736e-05 0.00035264756 0.0015190972 0.00056966144 0.00062391494 0.000108506945 0.0010579427 0.0013020834 0.00062391494 0.00032552084 0.004313151 0.0031738281 0.00024414062 0.0032009548 0.0038248699 8.138021e-05 0.00021701389 0.000108506945 0.0017903646 0.00016276042 0.00016276042 0.00013563369 0.0013834635 0.00013563369 0.00016276042 0.00062391494 0.0022515191 0.00021701389 0.00027126737 0.00027126737 0.0047200522 0.00054253475 0.0011393229 0.0148654515 2.7901786e-05 0.0 0.0 1.3950893e-05 0.0 8.370536e-05 0.0 0.0 4.185268e-05 0.0 0.0 2.7901786e-05 0.08547712 0.0 4.185268e-05 0.0 0.027329799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012416295 0.0 0.0 0.0 0.053459823 0.0003766741 0.00012555804 9.765625e-05 0.0001953125 0.00036272322 0.0007672991 0.0005859375 8.370536e-05 6.975447e-05 5.580357e-05 0.00011160714 4.185268e-05 6.975447e-05 6.975447e-05 0.0006696429 0.037611607 0.0 0.0002092634 4.185268e-05 0.00016741072 0.00026506698 0.002232143 0.0010881696 0.0 0.0 0.0 0.0 0.015527343 0.0 0.0 0.0 0.022056362 6.975447e-05 2.7901786e-05 2.7901786e-05 0.00044642857 0.0005719866 0.003362165 0.0018833706 1.3950893e-05 2.7901786e-05 0.0 1.3950893e-05 1.3950893e-05 1.3950893e-05 4.185268e-05 0.0 0.0671317 0.004436384 0.0020507812 0.0012555803 0.0004045759 0.0004045759 0.004296875 0.0019391741 0.00034877233 0.0011021205 0.00030691965 0.00033482144 0.00026506698 0.00016741072 0.00023716518 0.0010323661 0.021303013 0.00022321429 6.975447e-05 0.00023716518 0.00044642857 0.0003766741 0.001171875 0.00072544644 0.00030691965 0.002580915 0.0002092634 0.00016741072 0.0001953125 0.00018136161 0.0002092634 0.00016741072 0.04966518 0.000390625 0.0033342633 0.004422433 0.001171875 0.0018415179 0.015039062 0.0077706473 0.00026506698 0.00027901787 0.00029296876 0.00032087055 0.00027901787 0.00016741072 0.00023716518 0.00023716518 0.016462054 0.0025530134 0.0030831473 0.0026367188 0.0011858259 0.00086495536 0.0052873883 0.0024414062 0.001827567 0.00062779017 0.00033482144 0.0003766741 0.018205915 4.185268e-05 0.0003766741 0.0008370536 0.035449218 0.0006417411 0.0039620535 0.011035156 0.0028041294 0.003780692 0.014536831 0.008984375 0.0006138393 0.0005022322 0.00055803574 0.0006417411 0.0006417411 0.00047433036 0.00055803574 0.00053013396 0.023981584 0.0014090402 0.0009905134 0.0007533482 0.0022879464 0.003013393 0.006780134 0.0046875 0.0008789062 0.0025390624 0.0005719866 0.00032087055 0.0063058035 0.00027901787 0.0014787946 0.00086495536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024804687 0.014578683 0.0023716518 0.0031947545 0.007575335 0.008175223 0.0030831473 0.0046177455 0.01905692 0.0026227678 0.0020507812 0.002329799 0.055217635 0.0015764509 0.009626116 0.010546875 0.022851562 0.018345425 0.003125 0.0028041294 0.009695871 0.009054129 0.0040597096 0.0050223214 0.02032645 0.0051339287 0.001813616 0.0012695312 0.042438615 0.0025251117 0.00874721 0.01421596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 201.0 19.58209 3936.0 0.05538618 0.0007621951 0.010162601 0.00025406503 0.0007621951 0.0007621951 0.00050813006 0.00050813006 0.0022865853 0.0015243902 0.0007621951 0.00025406503 0.0010162601 0.0066056913 0.007876016 0.0055894307 0.007367886 0.008892276 0.009146341 0.013211383 0.009400407 0.009908536 0.0060975607 0.005335366 0.0050813006 0.0045731706 0.0055894307 0.0035569107 0.008384147 0.009400407 0.007876016 0.0045731706 0.0020325202 0.0045731706 0.0015243902 0.0035569107 0.0030487804 0.009908536 0.0055894307 0.0020325202 0.0010162601 0.0060975607 0.0007621951 0.0010162601 0.0038109757 0.004827236 0.0020325202 0.0050813006 0.014735772 0.0007621951 0.0043191058 0.010416667 0.0060975607 0.0020325202 0.0017784553 0.0033028456 0.0012703252 0.00050813006 0.00050813006 0.00050813006 0.0025406503 0.00025406503 0.0010162601 0.032520324 0.0015243902 0.03531504 0.010924797 0.02769309 0.027439024 0.09146342 0.011178861 0.010670732 0.012449187 0.039634146 0.0035569107 0.0060975607 0.030995935 0.02057927 0.036077235 0.043191057 0.015752032 0.0022865853 0.057164636 0.039126016 0.053099595 0.02261179 0.007367886 0.0043191058 0.0086382115 0.019563008 0.0033028456 0.0015243902 0.0010162601 0.0017784553 0.00025406503 0.00050813006 5.532542 1.0 0.0 0.0 3.0 36864.0 57344.0 1.0 1.0 84.0 1.0 1.0 0.0 0.0 0.0 1484581800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 17920.0 1024.0 4096.0 8.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18432.0 -3584.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7432075 0.0 0.0 0.0 0.0 0.0 0.0 -0.14544474 0.0 1.735356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6267713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8047824 -4.264083 3.6872413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1434.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 6644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17790.0 -3503.0 3315.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 372.0 30848.0 120.0 37476.0 3315.0 49152.0 0.0 0.0 0.0 0.0 1132.0 53248.0 56.0 28272.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 28328.0 0.0 0.0 612.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.066126004 0.0046868124 0.0035984952 0.0034729864 0.0038873376 0.0031738281 0.0031738281 0.0031703894 0.0049911286 0.0030895823 0.0032735476 0.0030551965 0.003717127 0.003442039 0.003024249 0.0035675478 0.0045441105 0.002995021 0.0029004593 0.004454707 0.003985338 0.0032597932 0.0032013368 0.0031549158 0.004415163 0.0028815472 0.0042243204 0.0030947402 0.0036878989 0.0031136526 0.0029262488 0.0034833022 0.004480496 0.003087863 0.0031136526 0.0030466 0.005780287 0.0034059337 0.00331653 0.0031033368 0.0037549515 0.0035297233 0.0029571962 0.0030156525 0.004205408 0.0034437582 0.0032666703 0.0034351617 0.0043601454 0.004066145 0.00390625 0.0048312335 0.0043171626 0.0040180045 0.004380777 0.0038701447 0.0042690225 0.004442672 0.0039561098 0.0046317945 0.004623198 0.0040180045 0.0048295143 0.004171022 0.01631272 0.0033921793 0.0035606707 0.0035486356 0.0050547426 0.0038374779 0.0036982147 0.0036638286 0.0039440747 0.0036758638 0.003058635 0.003557232 0.003928601 0.0034282845 0.0038804605 0.0029743894 0.004234636 0.003110214 0.0030362841 0.00410225 0.0036174075 0.0038220042 0.003373267 0.0032873019 0.0033251266 0.003557232 0.0037927763 0.0032013368 0.0038563902 0.0034059337 0.0036621094 0.0031944597 0.0032873019 0.0038632676 0.0034523548 0.0033371616 0.0039664255 0.0039939345 0.0041228817 0.0029640736 0.0040334784 0.0035589514 0.003722285 0.002915933 0.003921724 0.0032116526 0.0039612674 0.003613969 0.0037910568 0.003041442 0.003459232 0.0036019338 0.005792322 0.00442204 0.0032047755 0.0031222492 0.0036603902 0.003098179 0.003299337 0.0031016176 0.0037927763 0.0032597932 0.0029056172 0.0030483191 0.0037927763 0.0034300038 0.0035434777 0.0041727414 0.0037446357 0.0034970567 0.0031531965 0.0029124946 0.0034626706 0.005417515 0.0039131274 0.0057613747 0.0033062142 0.0034231266 0.0035142496 0.0032064947 0.0038770218 0.0028712314 0.0029795473 0.0029485999 0.0036913375 0.0029967402 0.0030895823 0.002943442 0.0032735476 0.0030259683 0.0033767056 0.0032460387 0.003132565 0.0029864244 0.0029537578 0.003029407 0.0031927405 0.004014566 0.0039131274 0.0035125304 0.0044650226 0.0035039338 0.002955477 0.003024249 0.0031497579 0.003466109 0.002915933 0.003075828 0.0036878989 0.0030173718 0.004312005 0.0029073367 0.0037962147 0.0039767413 0.006502393 0.005304041 0.006672604 0.005701199 0.0031411615 0.003115372 0.0037394778 0.003584741 0.0030380033 0.0029795473 0.004036917 0.0030792665 0.003115372 0.0031514773 0.0039440747 0.0036603902 0.0031084947 0.003407653 0.003362951 0.003087863 0.0036913375 0.004066145 0.0032718282 0.0034007758 0.0035314425 0.0029073367 0.003626004 0.003665548 0.0030311262 0.0031084947 0.004370461 0.0030723894 0.0037188462 0.0030380033 0.0033199687 0.003471267 0.0035606707 0.0030637928 0.0038632676 0.0030792665 0.0034901793 0.0031893018 0.0031239684 0.0033784248 0.0030156525 0.003034565 0.0033388808 0.0045406716 0.0034557933 0.0030448807 0.0034953372 0.0030741086 0.0034557933 0.003041442 0.0043618646 0.0042260396 0.0033767056 0.0034901793 0.0037532323 0.0031755473 0.0036105304 0.0034643898 0.0035675478 0.0035383198 0.0030964597 0.0030190912 0.0032924598 0.0030844244 0.0036878989 0.0032546353 0.0036019338 0.0036621094 0.0031497579 0.0030208104 0.003987057 0.0039647063 0.003971583 0.007783272 0.014086096 0.0 0.0 0.0 1.7223324e-06 2.5834986e-06 8.611662e-06 9.472828e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.611662e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016232984 6.8893296e-06 1.4639826e-05 1.7223324e-06 1.2917493e-05 9.472828e-06 8.611662e-07 6.0281636e-06 3.0140818e-05 2.5834986e-06 8.611662e-07 4.305831e-06 1.808449e-05 2.5834986e-06 8.611662e-06 2.0667989e-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 0.0058412906 4.736414e-05 0.000119702105 7.319913e-05 0.00017653908 6.803213e-05 0.00032552084 0.00018170607 1.2917493e-05 9.472828e-06 1.2056327e-05 1.4639826e-05 9.472828e-05 3.0140818e-05 1.4639826e-05 3.2724318e-05 0.0027695105 6.5448636e-05 6.1142804e-05 4.994764e-05 8.956129e-05 5.1669973e-05 0.00014812058 9.558945e-05 1.7223325e-05 6.0281636e-06 1.8945657e-05 8.611662e-06 2.3251489e-05 8.1810795e-05 1.2917493e-05 2.7557318e-05 0.0013882 5.7698137e-05 3.616898e-05 1.0333994e-05 6.458747e-05 3.186315e-05 2.2390323e-05 3.0140818e-05 1.4639826e-05 1.2056327e-05 1.1195161e-05 3.5307814e-05 1.3778659e-05 7.7504965e-06 7.7504965e-06 1.9806823e-05 0.0046201567 8.611662e-05 0.00015242642 0.00010075645 0.00033327134 0.00015242642 0.000709601 0.0004107763 4.736414e-05 3.5307814e-05 4.564181e-05 5.080881e-05 0.00012659143 4.305831e-05 5.8559304e-05 8.1810795e-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 0.00371421 0.00012056327 0.0003186315 0.0006079834 0.00024112655 0.0001937624 0.00071562914 0.00040733162 0.00020495756 5.6836972e-05 5.3392305e-05 5.5114637e-05 9.9034114e-05 0.00011109044 5.942047e-05 9.558945e-05 0.004517678 0.00021529155 0.0005227279 0.0002368207 0.00061831734 0.00033671598 0.0015742119 0.0008163856 0.00032293733 0.0001248691 0.00013692543 0.00021356922 0.00017051092 0.0002833237 0.00014467593 0.00034705 0.0037159324 0.0009205867 0.0010204819 0.013875972 0.0010600956 0.0009972305 0.0015604332 0.0012340512 0.0008878624 0.0008749449 0.00086805556 0.00091111386 0.0009180032 0.0008956129 0.00089389057 0.0011117656 0.0007793554 6.458747e-05 5.4253473e-05 5.253114e-05 0.00017567791 4.9086473e-05 5.1669973e-05 4.3919477e-05 3.444665e-05 3.444665e-05 6.88933e-05 0.0001558711 4.3919477e-05 4.564181e-05 5.253114e-05 5.6836972e-05 0.004603795 0.0007474923 0.0009490052 0.00057698134 0.0017576403 0.0011858259 0.00065793097 0.00095244986 0.0027729552 0.00025834987 0.00024371005 0.00038149665 0.0010222043 0.00044005594 0.000942977 0.0019074832 0.018391065 0.005746562 0.006122031 0.004864728 0.014683745 0.0058404296 0.004730386 0.005133412 0.008423067 0.0025258006 0.00534612 0.011091821 0.0052203895 0.0041628773 0.0061470047 0.007972677 0.052742127 0.048310563 0.047641438 0.048002265 0.05238474 0.047731 0.047476955 0.047351226 0.0475691 0.046540007 0.048363097 0.05207989 0.047160044 0.047720667 0.048623167 0.048081495 2854.0 8.171338 23321.0 0.022726297 0.005788774 0.006903649 0.0048454185 0.012478024 0.004974058 0.0047167786 0.0060889325 0.020968227 0.006003173 0.005145577 0.0055314954 0.010848591 0.006346212 0.0061318125 0.005617255 0.019338794 0.014879294 0.0152223315 0.0152223315 0.019253034 0.01350714 0.026456842 0.014278976 0.019896232 0.014236096 0.012992581 0.014064577 0.019338794 0.014536255 0.0151365725 0.014321856 0.010462673 0.007118048 0.005359976 0.0068178894 0.012263625 0.0062175724 0.0058316537 0.01792376 0.010719952 0.00673213 0.005660135 0.0043308605 0.01132027 0.0068178894 0.006003173 0.0055314954 0.01350714 0.006431971 0.005788774 0.02238326 0.012049226 0.006260452 0.0076754857 0.006303332 0.009948116 0.0054886155 0.017537842 0.0059174136 0.010634192 0.0062175724 0.006046053 0.005788774 0.009905236 0.013121221 0.00664637 0.010119635 0.014836414 0.021354144 0.0075039663 0.007160928 0.011706187 0.01342138 0.0051026973 0.005960293 0.017409202 0.008876121 0.0139788175 0.014021697 0.012992581 0.0045881392 0.014579135 0.011577548 0.023755414 0.0103769135 0.005617255 0.005574375 0.0115346685 0.0076754857 0.0055314954 0.005145577 0.010462673 0.0051884567 0.00450238 0.004888298 6.4084015 0.0 0.0 0.0 9.0 581632.0 593920.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1542713200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 40960.0 4096.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 413696.0 0.0 0.0 0.0 0.0 -16384.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.101838 0.0 7.9992023 0.0 0.0 0.0 0.0 -7.2457523 0.0 5.276336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.448973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6711745 0.0 4.1158166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16164.0 0.0 413393.0 0.0 0.0 0.0 0.0 -15536.0 0.0 10274.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37060.0 0.0 1488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230.0 24576.0 200.0 53284.0 1488.0 573440.0 0.0 0.0 0.0 0.0 16164.0 577536.0 56.0 45440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.31624728 0.010302166 0.008014058 0.007115564 0.0064597907 0.0069296192 0.0067692245 0.0065463753 0.00749313 0.0061432594 0.006014092 0.0060552554 0.005701819 0.0051922468 0.00518373 0.004803325 0.005230571 0.0048828125 0.004939589 0.0046060253 0.004008448 0.0039048307 0.004157488 0.0042171036 0.0039332192 0.003385322 0.0036763037 0.003405194 0.003569847 0.0033257063 0.003351256 0.0035144894 0.003446357 0.0032107332 0.0032632516 0.0030517578 0.0033171899 0.0032164108 0.0031880224 0.0037643078 0.011317054 0.003075888 0.0026756108 0.0023235942 0.0025606377 0.002373274 0.0024257926 0.0020510652 0.0023179166 0.0023576603 0.0021887491 0.002117778 0.002031193 0.0018225382 0.0018778957 0.0016138831 0.0016252385 0.0015471702 0.0017047261 0.0016124636 0.0014974904 0.0014463912 0.0015031681 0.0014478107 0.0014790379 0.0015187818 0.0016039471 0.0015798169 0.0012292196 0.0011894759 0.001314385 0.0012675441 0.0014222611 0.0015571062 0.0015045876 0.0011085687 0.0010844386 0.0009652071 0.00094107696 0.00081474835 0.00094817404 0.0010092092 0.0018736373 0.0014066474 0.0018239575 0.014841479 0.0012859965 0.001058889 0.0009396575 0.0010347589 0.0012576081 0.0009453352 0.00085023395 0.00076081033 0.0008431368 0.0007891988 0.000977982 0.0011554097 0.00085023395 0.0011752816 0.0008686864 0.0015840753 0.00083462027 0.0007082917 0.0009595294 0.0010986328 0.0010290812 0.0009297216 0.001075922 0.0010674056 0.0010986328 0.0012121866 0.00077642396 0.0007962959 0.0010830192 0.0011085687 0.0012718023 0.0008119095 0.0007906182 0.0007423578 0.0007991347 0.0008417174 0.00071680825 0.0008871389 0.00075655204 0.00085023395 0.00088855834 0.0011951536 0.0012207031 0.00096236827 0.00097372365 0.0011241824 0.0015670422 0.0015443314 0.009368187 0.0015642033 0.0012207031 0.001186637 0.000977982 0.00086584757 0.0011270213 0.0008999137 0.000830362 0.0009382381 0.0010574695 0.0010177258 0.0023931458 0.0017331146 0.017819427 0.0016451104 0.0013910338 0.0012476721 0.0012178643 0.00096236827 0.00080907065 0.0008928166 0.0006827421 0.00092120504 0.0007466161 0.0007139694 0.00082042604 0.0007153888 0.0009183662 0.00085733103 0.0008701058 0.00090417196 0.0008289426 0.00082042604 0.00074519665 0.0006841615 0.00067990326 0.0007835211 0.00067564496 0.0009283021 0.0007991347 0.0007522938 0.0010844386 0.0008587504 0.00070119457 0.00079771527 0.000766488 0.0006983557 0.00091694674 0.00070687226 0.0009055914 0.0007082917 0.0008005541 0.00084455626 0.0008544922 0.00095385173 0.0009510129 0.00095811003 0.0011312795 0.0008218455 0.0007721657 0.0008644281 0.0008417174 0.0007891988 0.00085165334 0.0009453352 0.0009439158 0.000702614 0.00067564496 0.0007310025 0.00091410795 0.00085023395 0.00072248594 0.00085165334 0.0010617279 0.000830362 0.0009978538 0.00091694674 0.0007948764 0.00083462027 0.0010134674 0.0008913972 0.00089849427 0.0010574695 0.001260447 0.0011213436 0.017160814 0.0020936478 0.0015272984 0.002070937 0.0021830713 0.0008686864 0.0008175872 0.0009070108 0.00067422556 0.0007409384 0.00068558095 0.00071680825 0.0007267442 0.0008062318 0.00078777934 0.0010461141 0.000766488 0.000830362 0.00079203764 0.0008332009 0.00096236827 0.0008701058 0.00082610373 0.00093114097 0.0009921761 0.0008587504 0.00095243234 0.0011383767 0.0012022506 0.00093539926 0.001341354 0.0015088458 0.0017047261 0.0014903933 0.0019914494 0.18601386 0.043457743 5.5438046e-05 5.5438046e-05 3.553721e-05 1.705786e-05 4.264465e-06 4.264465e-06 2.8429768e-06 4.264465e-06 2.8429768e-06 7.107442e-06 2.8429768e-06 9.950419e-06 5.6859535e-06 0.0 2.8429768e-06 0.016480025 0.00012509097 6.609921e-05 5.757028e-05 5.117358e-05 1.8479348e-05 1.2082651e-05 2.3454559e-05 2.7719023e-05 1.2793395e-05 7.818186e-06 9.239674e-06 2.203307e-05 8.52893e-06 1.8479348e-05 0.00052666146 0.02631175 0.00032836382 0.00021961995 0.00012651246 8.52893e-05 2.7008278e-05 2.203307e-05 5.117358e-05 5.4016557e-05 2.4876046e-05 2.4876046e-05 2.4876046e-05 4.9041348e-05 3.1983487e-05 5.1884326e-05 0.0016787777 0.030649422 0.00084365334 0.00042289277 0.0002544464 0.00014996702 3.3404976e-05 3.1272742e-05 6.325623e-05 6.75207e-05 2.3454559e-05 2.7719023e-05 2.7719023e-05 6.0413255e-05 4.051242e-05 7.818186e-05 0.0036162664 0.033766035 0.0017939183 0.0010163642 0.00051244657 0.0002828762 5.47273e-05 5.5438046e-05 5.5438046e-05 6.183474e-05 3.269423e-05 4.1933905e-05 4.406614e-05 5.259507e-05 6.0413255e-05 9.310749e-05 0.0042886306 0.033701357 0.003025638 0.0016354223 0.0011570915 0.0005131573 5.614879e-05 5.8991765e-05 4.761986e-05 4.761986e-05 3.3404976e-05 3.553721e-05 3.269423e-05 4.264465e-05 4.264465e-05 6.680995e-05 0.0046269447 0.03986635 0.006511838 0.0034904648 0.001702943 0.0006162152 6.965293e-05 5.5438046e-05 5.259507e-05 4.6198373e-05 3.624795e-05 3.909093e-05 3.1983487e-05 4.1223164e-05 4.761986e-05 7.0363676e-05 0.008457145 0.0940542 0.020465879 0.01234918 0.0065630116 0.002786828 0.00018052902 0.00011514056 7.7471115e-05 9.2396745e-05 7.8892605e-05 8.102484e-05 5.614879e-05 0.00010803311 0.00012295874 0.00015067776 0.02720089 0.02746813 0.006403094 0.0040491098 0.0021436044 0.0013610751 0.003183423 0.0010597196 0.00067378546 0.000114429815 0.0008379674 8.742153e-05 0.0001336199 0.0001094546 0.0007782649 0.00017910753 0.015464372 0.009584385 0.0011876535 0.0029303983 0.00044990107 0.0005245292 0.0044414406 0.0008671079 0.0004982317 0.0025458857 0.00560635 0.0003397357 0.00043639692 0.0003525291 0.005468466 0.00039659525 0.025505766 0.018799184 0.003389539 0.006722929 0.0016460835 0.0013106123 0.006431524 0.0009481327 0.0007043475 0.0050391764 0.008130914 0.00071856234 0.0009353393 0.00095168647 0.0076667974 0.0010320005 0.04183227 0.017408967 0.005116647 0.007462814 0.0021677697 0.0016247611 0.0057406807 0.0018543316 0.0015650587 0.0046695895 0.0071827807 0.0012281659 0.0012416701 0.0010753559 0.007188467 0.0013887942 0.039343245 0.00935979 0.0040050433 0.004200498 0.0017498522 0.0012239015 0.0025849766 0.0011506948 0.00095168647 0.0027647947 0.0035522995 0.0011066287 0.0010220502 0.001008546 0.003156415 0.0012601494 0.019126836 0.0022189433 0.0009189922 0.0009353393 0.00034684315 0.00039162004 0.0003653225 0.0005742813 0.00032196712 0.00057001685 0.00062971935 0.00043497543 0.00024165302 0.00022459516 0.00045416554 0.00025089268 0.0027655056 0.00042004982 6.894219e-05 7.6049626e-05 5.47273e-05 6.609921e-05 8.102484e-05 0.00015209925 8.813228e-05 6.325623e-05 4.1223164e-05 4.9041348e-05 6.0413255e-05 4.9752092e-05 6.325623e-05 5.3305812e-05 6.823144e-05 0.011125989 0.009935493 0.009582964 0.0097336415 0.009582964 0.0084315585 0.009523261 0.009043509 0.010233294 0.00907336 0.008569443 0.0092190625 0.009268815 0.009444369 0.0091103185 0.009504782 733.0 9.555252 7004.0 0.015848087 0.0049971445 0.007424329 0.0092804115 0.008423758 0.0057110223 0.009994289 0.0057110223 0.0065676756 0.0042832666 0.0037121645 0.0059965733 0.008566533 0.004854369 0.02084523 0.0034266133 0.011279269 0.011707596 0.0057110223 0.0065676756 0.0065676756 0.0075671044 0.0069960025 0.007424329 0.0047115935 0.0057110223 0.008138207 0.0031410623 0.007138778 0.0095659625 0.0062821247 0.0059965733 0.0075671044 0.010708167 0.0065676756 0.014991433 0.00899486 0.008138207 0.008138207 0.007138778 0.007995431 0.008709309 0.0037121645 0.0064249 0.006710451 0.0069960025 0.0049971445 0.00385494 0.00770988 0.0029982866 0.012421474 0.01541976 0.00899486 0.004426042 0.007424329 0.0028555111 0.0054254713 0.0042832666 0.0031410623 0.0031410623 0.0059965733 0.0017133066 0.004568818 0.007995431 0.0054254713 0.02798401 0.015134209 0.020274129 0.017133066 0.06581953 0.009851513 0.012135922 0.0057110223 0.034266133 0.0021416333 0.0064249 0.025842376 0.022415763 0.029126214 0.03469446 0.0092804115 0.00385494 0.035122786 0.03726442 0.045259852 0.02084523 0.0075671044 0.0061393487 0.006710451 0.0128498 0.005853798 0.0014277556 0.0039977157 0.0031410623 0.0034266133 0.00256996 6.1050863 1.0 0.0 0.0 3.0 704512.0 729088.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542209700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 354816.0 512.0 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 -354816.0 0.0 348672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1796317 0.0 5.1318865 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 -354576.0 0.0 348660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 362680.0 348660.0 368640.0 0.0 0.0 0.0 0.0 12.0 720896.0 28.0 362368.0 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: 0.13170695 0.011387087 0.012658461 0.0055092867 0.0075729657 0.0037588445 0.0099498825 0.004274764 0.0046248524 0.0039431015 0.010465802 0.0059515038 0.0032244988 0.0038141215 0.0036298644 0.0030033903 0.0043300414 0.0047538327 0.0052697523 0.0040536555 0.002782282 0.0028744105 0.0042379126 0.0030033903 0.002524322 0.0031323703 0.0028007075 0.0034087559 0.0034087559 0.0030586675 0.003021816 0.004532724 0.006872789 0.0030402418 0.004532724 0.004108933 0.0035745872 0.0024506191 0.0030955188 0.0025980247 0.0041273586 0.0024874706 0.0037588445 0.0033903301 0.004016804 0.0023769164 0.005582989 0.002782282 0.0037588445 0.0035008844 0.003077093 0.0028007075 0.0035745872 0.003206073 0.0026901532 0.0027638562 0.0027454305 0.0024690449 0.0026901532 0.0024137676 0.0025795992 0.0027454305 0.0025058961 0.0021005305 0.0018241451 0.0038325472 0.004274764 0.0051960493 0.003850973 0.00377727 0.0037035672 0.0033166273 0.0033719044 0.0032429246 0.0021189563 0.002837559 0.0031139445 0.0033534789 0.002782282 0.002708579 0.0029849645 0.002653302 0.00377727 0.0049565155 0.0039431015 0.0023769164 0.0034456074 0.0026348762 0.0022847878 0.0026348762 0.0022110848 0.0028007075 0.0034271816 0.0023584906 0.0024506191 0.0047722585 0.0014740566 0.009820902 0.005675118 0.006227889 0.0055277124 0.017430719 0.0030402418 0.0049933665 0.0040720813 0.008144163 0.0026901532 0.002524322 0.0076466687 0.006135761 0.0079967575 0.01630675 0.005730395 0.0028744105 0.010060436 0.011092276 0.013450767 0.006596403 0.0030033903 0.0027270047 0.004348467 0.0048643867 0.0024506191 0.0030033903 0.0025611734 0.0023400648 0.0026901532 0.0024137676 0.003021816 0.0029296875 0.0022110848 0.002321639 0.0028744105 0.0028744105 0.002782282 0.0026717277 0.002892836 0.0032244988 0.0023032133 0.0033719044 0.0023032133 0.0029112617 0.0025980247 0.0023400648 0.0023769164 0.0042563383 0.0030586675 0.0027270047 0.0018978479 0.001953125 0.0021742336 0.0023584906 0.0019715508 0.002708579 0.002782282 0.0017872936 0.0023400648 0.0022847878 0.0041457843 0.0022295106 0.0018609965 0.0030402418 0.0022295106 0.0024321934 0.0018794222 0.0021005305 0.0023400648 0.0018609965 0.0021189563 0.0028744105 0.0026164504 0.002008402 0.0026901532 0.002266362 0.0023584906 0.0024321934 0.0020636793 0.0027454305 0.0025427477 0.0022479363 0.0031139445 0.0028007075 0.0024137676 0.0023400648 0.0025427477 0.0030586675 0.0027270047 0.0035008844 0.0023032133 0.002782282 0.0024874706 0.002524322 0.0019715508 0.0021926593 0.0026164504 0.0027270047 0.0030586675 0.0025795992 0.0024321934 0.002708579 0.0036667157 0.003335053 0.002137382 0.0018241451 0.0025427477 0.0028559847 0.0019162736 0.002266362 0.0027270047 0.0021189563 0.0020636793 0.0021742336 0.0021926593 0.0025427477 0.002321639 0.0023769164 0.0026348762 0.0022847878 0.002082105 0.0025795992 0.0026901532 0.0026164504 0.0018609965 0.002524322 0.0020636793 0.0034824586 0.002321639 0.0029849645 0.002653302 0.002008402 0.0022479363 0.0025427477 0.0025058961 0.0022847878 0.0022479363 0.0021005305 0.0024874706 0.0022295106 0.0025427477 0.0022847878 0.002321639 0.0022847878 0.0024321934 0.0026717277 0.0017872936 0.002524322 0.0021189563 0.0026164504 0.0024506191 0.0025795992 0.0022295106 0.002524322 0.002137382 0.0021742336 0.003021816 0.0025058961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012657752 4.695012e-05 0.0010422927 0.00068547175 0.00024414062 0.00017841045 0.0028170072 0.0014930138 0.0 0.0 9.390024e-06 1.8780049e-05 0.0 9.390024e-06 2.8170072e-05 0.0 0.016338643 0.0012676532 0.0020188552 0.00056340144 0.0053617037 0.00391564 0.029437725 0.017183743 0.00011268029 0.000103290266 2.8170072e-05 4.695012e-05 0.00024414062 0.00013146034 4.695012e-05 0.00012207031 0.061739407 0.008235051 0.007342999 0.0024507963 0.0025634766 0.004741962 0.015117939 0.009699895 0.0007324219 0.00032865084 0.00048828125 0.00045072116 0.000384991 0.00036621094 0.00017841045 0.00056340144 0.053260215 0.004835862 0.005098783 0.003164438 0.0028921275 0.0017934946 0.008760893 0.005051833 0.0020564152 0.0019249549 0.0014366737 0.0021221454 0.0011361929 0.000779372 0.0010986328 0.0007418119 0.026554989 0.0028921275 0.0024789663 0.0012864333 0.0020470251 0.0012207031 0.008178711 0.005117563 0.0015869141 0.0017465445 0.0007136418 0.0016150841 0.0007230319 0.00045072116 0.000769982 0.00030987078 0.0047701322 0.0008638822 0.0013052133 0.0011549729 0.0008920523 0.00095778244 0.005408654 0.0031738281 0.0002629207 0.000103290266 2.8170072e-05 0.000103290266 0.00012207031 9.390024e-06 2.8170072e-05 4.695012e-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 0.008056641 0.0011737531 0.0018592248 0.0020282452 0.0019719051 0.0023944562 0.005925105 0.00392503 0.0011080229 0.0012582632 0.0013709435 0.0013897235 0.0012113131 0.0017183744 0.0012113131 0.0018592248 0.029794546 0.03862117 0.03806716 0.03499662 0.03817045 0.03540039 0.03578538 0.03578538 0.03852727 0.036358174 0.033728965 0.037212666 0.037719727 0.03498723 0.03632061 0.03544734 483.0 14.523809 7015.0 0.013257306 0.0011404135 0.004561654 0.0024233784 0.003563792 0.0012829651 0.0025659301 0.0012829651 0.00085531006 0.00085531006 0.0024233784 0.00042765503 0.0041339984 0.0028510336 0.019101925 0.0024233784 0.0072701355 0.004561654 0.0028510336 0.003563792 0.0042765504 0.0034212403 0.002280827 0.0028510336 0.0025659301 0.0019957235 0.002280827 0.0014255168 0.003563792 0.003991447 0.0027084819 0.0012829651 0.0007127584 0.0104062725 0.009550963 0.011404134 0.007127584 0.0051318603 0.004989309 0.0034212403 0.0037063435 0.00598717 0.0015680684 0.0017106201 0.006557377 0.008695652 0.0028510336 0.003563792 0.007840342 0.0019957235 0.005702067 0.015110478 0.0106913755 0.002993585 0.0051318603 0.0031361368 0.0011404135 0.002280827 0.0017106201 0.002280827 0.003563792 0.00085531006 0.0017106201 0.019244475 0.00085531006 0.043905918 0.02309337 0.028795438 0.016535994 0.10334996 0.0066999285 0.01696365 0.0068424805 0.042480398 0.0047042053 0.004846757 0.036065575 0.02466144 0.036065575 0.0510335 0.015538133 0.0014255168 0.046329293 0.048752673 0.081397004 0.02808268 0.007127584 0.0042765504 0.012116892 0.014540271 0.0018531717 0.00042765503 0.0011404135 0.0012829651 0.0009978617 0.0009978617 5.4595804 1.0 0.0 0.0 5.0 54272.0 81920.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1469752200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 51200.0 512.0 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 -51200.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5012608 0.0 4.1959443 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 -51156.0 0.0 1548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 59260.0 1548.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 28.0 58948.0 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: 0.0063543757 0.0040093847 0.0038497853 0.0038971852 0.003969385 0.003916785 0.0038671852 0.003924985 0.0039125853 0.0038765853 0.003922985 0.0038775853 0.003944585 0.003914385 0.003911985 0.0038983852 0.0038739853 0.0038573854 0.0038829853 0.0038333854 0.0038333854 0.0038949852 0.0038487853 0.0038565854 0.0038709852 0.0038557854 0.0038577854 0.0038237856 0.0038905852 0.0038685852 0.0038831853 0.0038769853 0.004023385 0.0038419855 0.0038511853 0.0038275854 0.0038913852 0.003906785 0.0038349854 0.003918385 0.0038757853 0.0038707852 0.0038599854 0.0038887851 0.0038601854 0.0038755853 0.0038921852 0.003909585 0.003920185 0.003915585 0.0038441855 0.0040001846 0.0039093853 0.0038683852 0.003928785 0.0038371854 0.0038669852 0.003949585 0.0038655852 0.003921585 0.003920585 0.0038169855 0.0038793853 0.0038477853 0.004147584 0.003949785 0.0038623854 0.0038983852 0.003919185 0.003944585 0.003941185 0.0038935852 0.0038777853 0.003906785 0.0038657852 0.0038793853 0.0039009852 0.003972985 0.0038807853 0.003938985 0.0039605848 0.0038889851 0.0039009852 0.003940185 0.003935785 0.003950385 0.003936985 0.003920785 0.0038501853 0.0038833853 0.003924185 0.0038813853 0.0038459853 0.0038615854 0.0039029852 0.0038827853 0.0038657852 0.0039027852 0.0038595854 0.0038973852 0.003967985 0.003928185 0.0038903852 0.0038819853 0.0038785853 0.003923585 0.0039129853 0.0039125853 0.003950785 0.0039009852 0.0038659852 0.003919785 0.0038841853 0.0038651854 0.003961185 0.0039097853 0.0040479847 0.003948585 0.0038833853 0.0039041853 0.0038911852 0.003908785 0.0038551854 0.0038675852 0.0038933852 0.003928385 0.0038699852 0.0038943852 0.0039055853 0.003930985 0.0038383855 0.0039343853 0.003923785 0.0039049853 0.0038723852 0.0038879851 0.0039129853 0.003965785 0.0039023852 0.0042747837 0.0038375854 0.003974185 0.003916785 0.0038503853 0.0039005852 0.0038337854 0.0038043854 0.0038357854 0.0038963852 0.003954785 0.0038549853 0.0038703852 0.0039081853 0.003960385 0.0038633854 0.0038241856 0.0038507853 0.0038853853 0.0038307854 0.0038619854 0.0038531853 0.0038543853 0.0038879851 0.0038713852 0.0038519853 0.003929585 0.0038701852 0.0038347854 0.0038147855 0.0038651854 0.003910785 0.0038945852 0.0038543853 0.0038881851 0.0038641854 0.0038991852 0.0039043853 0.0038957852 0.003923985 0.0038617854 0.0039149853 0.0038553854 0.0038547853 0.003906385 0.0038985852 0.0038485853 0.0038847853 0.0038549853 0.0038497853 0.0038507853 0.0038363854 0.0038901852 0.0040699844 0.0038801853 0.0038631854 0.0040395847 0.003953185 0.0038929852 0.003919585 0.0038773853 0.003929985 0.0038969852 0.0038825853 0.0038535853 0.0039051853 0.0038989852 0.0038687852 0.0038955852 0.0038865851 0.0038799853 0.0038499853 0.0038711852 0.003921985 0.0038859851 0.0038329854 0.0038525853 0.0038783853 0.0039077853 0.0038553854 0.0038741853 0.0038833853 0.0038385855 0.0038661852 0.0039009852 0.0038705852 0.0038601854 0.0038717852 0.0038515853 0.0039045853 0.0039051853 0.0038715852 0.0038657852 0.0040863845 0.0038823853 0.0038711852 0.003941185 0.003936585 0.0038757853 0.0039039853 0.0038557854 0.003963385 0.0038743853 0.0038491853 0.0038621854 0.0038909852 0.0038833853 0.0038751853 0.003950985 0.003928185 0.0038609854 0.0038621854 0.0038079855 0.003937785 0.0038559854 0.0038973852 0.004487183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001492554 1.6005941e-06 1.6005941e-06 5.7021166e-06 5.5020423e-06 1.6005941e-06 1.5205645e-05 8.503156e-06 7.502785e-06 2.0007427e-07 5.0018565e-07 7.0025993e-07 3.001114e-06 6.002228e-07 7.0025993e-07 2.7010026e-06 0.00020297534 2.0007426e-06 1.1704345e-05 2.0007426e-06 2.230828e-05 8.70323e-06 0.00010443877 5.512046e-05 0.0 0.0 0.0 0.0 1.00037134e-07 1.00037134e-07 2.0007427e-07 1.00037134e-07 0.00021948147 3.8014111e-06 4.011489e-05 4.1015223e-06 8.203045e-06 5.1018937e-06 7.592818e-05 3.9614704e-05 3.001114e-07 1.00037134e-07 3.001114e-07 3.001114e-07 2.9010769e-06 3.001114e-07 3.6013369e-06 5.6020795e-06 0.0004964843 6.5024137e-06 0.000109440625 5.2819607e-05 3.621344e-05 1.530568e-05 0.00012764738 6.6724766e-05 1.810672e-05 1.570583e-05 6.5024137e-06 3.701374e-06 1.8606906e-05 1.6105978e-05 6.102265e-06 2.8410546e-05 0.00026799948 7.302711e-06 1.7006312e-05 9.703602e-06 3.6113404e-05 1.810672e-05 9.573554e-05 4.7617676e-05 1.3004827e-05 4.9018195e-06 2.0007426e-06 6.102265e-06 1.4105236e-05 1.7306424e-05 2.3108578e-05 3.451281e-05 0.00035363127 6.5024137e-06 2.2908504e-05 3.7914073e-05 3.6413516e-05 8.403119e-06 4.4816636e-05 3.281218e-05 3.9314593e-05 3.761396e-05 5.6020795e-06 1.1904419e-05 5.031868e-05 1.3304939e-05 3.241203e-05 8.5631786e-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 0.00055130466 5.4720313e-05 7.1626586e-05 6.3923726e-05 0.00018656926 0.00013665072 6.652469e-05 0.000104938954 0.00027850337 3.0111178e-05 3.34124e-05 4.6217156e-05 0.00017036324 7.46277e-05 0.00011764367 0.00026649892 0.000934847 0.00014095232 0.00018436844 0.00019837363 0.000352931 0.00039124524 0.00023158596 0.00028180462 0.0006118271 6.7825174e-05 8.032982e-05 0.0001279475 0.00037463906 0.0001710635 0.00032482058 0.0006473403 0.06179284 0.061590564 0.061675895 0.061926886 0.062099453 0.061889675 0.061700605 0.06187997 0.061870966 0.061780933 0.06182205 0.061845057 0.061995413 0.061699502 0.061851658 0.06172011 23390.0 5.725866 133928.0 0.0129995225 0.009803775 0.010692312 0.009669375 0.0102368435 0.010333911 0.010169643 0.010430978 0.010468312 0.0101995105 0.010229377 0.01015471 0.009893375 0.01015471 0.010617645 0.010221911 0.009714175 0.0101995105 0.009900842 0.010363777 0.009878442 0.009505107 0.009848575 0.009699241 0.009684308 0.010348844 0.010468312 0.010244311 0.010677379 0.009632041 0.01031151 0.01008751 0.0105803115 0.0105803115 0.009885909 0.010080043 0.01092378 0.010565379 0.01028911 0.009803775 0.0104085775 0.010080043 0.010192043 0.010229377 0.010378711 0.010677379 0.010565379 0.01028911 0.010102443 0.010326444 0.010192043 0.01083418 0.010453378 0.010737113 0.010498178 0.010513112 0.009893375 0.010513112 0.010050177 0.010244311 0.009982976 0.010318978 0.010550445 0.010221911 0.0100651095 0.0109611135 0.009870975 0.010744579 0.011379248 0.013387791 0.010318978 0.010483244 0.010401111 0.011483782 0.009885909 0.01013231 0.011177648 0.0103712445 0.011147781 0.01164805 0.01017711 0.010020309 0.011289648 0.011237381 0.01243952 0.010864046 0.0098187085 0.010557911 0.009968042 0.010565379 0.009856042 0.010251777 0.010550445 0.010729645 0.009870975 0.0105429785 6.582495 1.0 1.0 0.0 82.0 5000019.0 81920.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 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 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1140723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5720315 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.4756465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3656.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37444.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 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 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0