Input: 0.2611187 0.020238386 0.012097816 0.009468151 0.0083785495 0.010559454 0.0064764195 0.008718519 0.0077054095 0.0020381175 0.002576969 0.001973523 0.0016709503 0.0042700176 0.0013666776 0.006340432 0.00502475 0.0014839671 0.0011745947 0.002187704 0.002187704 0.0065750107 0.0007445333 0.0008091275 0.0029679341 0.0023474896 0.000904319 0.0008176267 0.0010811031 0.00091111835 0.0005983464 0.00089242007 0.0100596985 0.0014023744 0.001093002 0.0008193266 0.017481234 0.0016097558 0.0007870295 0.00070713664 0.0036189756 0.0011898933 0.0007105363 0.0008941199 0.001740644 0.0012255902 0.0013020834 0.0006289437 0.0053528203 0.0006935379 0.0012051921 0.0040218397 0.0024409813 0.0006238441 0.00070713664 0.00059324683 0.0027741515 0.0010114093 0.0010777034 0.0015366623 0.0012663865 0.0017219457 0.0007513327 0.0006663403 0.0070067723 0.0082085645 0.0016267543 0.0028999401 0.008738917 0.0064339237 0.0011473972 0.0012697863 0.044573408 0.0064254245 0.00065784104 0.0012102915 0.011103405 0.004186725 0.0011745947 0.0012289899 0.0045844894 0.0006306435 0.0018664327 0.002600767 0.0032399097 0.0025259736 0.0014142733 0.004315913 0.0021503074 0.00058984716 0.00046405842 0.0012918842 0.00278945 0.0016454526 0.0011066009 0.002364488 0.0030563262 0.004397506 0.0008516237 0.0030988224 0.0046966793 0.010001903 0.0023474896 0.001987122 0.002879542 0.0051862355 0.00047255767 0.0008941199 0.0039555454 0.0018868309 0.0046507833 0.0043448107 0.0053205234 0.00051845354 0.006216343 0.0039028502 0.010846728 0.00468648 0.0011643957 0.0012799853 0.0028829416 0.0025956675 0.0007411336 0.0006238441 0.0015128645 0.0009298167 0.0009621138 0.0012816852 0.010200786 0.0015825582 0.0004742575 0.008298657 0.003930048 0.0061772466 0.0005201534 0.0006527415 0.0017984388 0.013908153 0.0018647329 0.025596306 0.0018409351 0.015162641 0.00048615644 0.0005116541 0.0041476283 0.00038926513 0.000435161 0.00080402795 0.00071733573 0.00036716711 0.0003280706 0.0004844566 0.0012255902 0.00034506907 0.00035356832 0.00036546725 0.0008737217 0.0003280706 0.00031957138 0.00048785628 0.0017559427 0.0006782392 0.000591547 0.00062554394 0.00092471717 0.0006663403 0.0006850386 0.00085332355 0.0015230635 0.0006731397 0.00073433423 0.0005847476 0.0010165089 0.0007156359 0.00057964807 0.0007768304 0.0014737679 0.00056264957 0.000613645 0.00036716711 0.00083632505 0.0005813479 0.0010590052 0.0013666776 0.0033436003 0.0017457436 0.0011881936 0.0007632316 0.0009128182 0.00065784104 0.00095361454 0.0005558502 0.007001673 0.0015791585 0.0010471062 0.0034438914 0.003035928 0.00050825445 0.0012323896 0.002578669 0.0024511805 0.0021911038 0.0009876115 0.0016012565 0.02722476 0.0012544875 0.0010539056 0.0015162642 0.0025395725 0.0007972286 0.0018324358 0.0007972286 0.0007802301 0.00045895888 0.0006170447 0.00092131743 0.0018052382 0.00093831593 0.0006306435 0.001038607 0.0008329254 0.00039776435 0.00049805536 0.0010675044 0.0023049936 0.0005456511 0.00044366025 0.0005320523 0.00054735097 0.0003178715 0.0005269528 0.00045045963 0.009051689 0.004450201 0.0009230173 0.0027163567 0.0026993582 0.00046235858 0.00043176132 0.00051845354 0.0028727427 0.0006935379 0.000613645 0.00068163895 0.00066973997 0.0004487598 0.001550261 0.0011151001 0.0017729411 0.0007734307 0.0006272438 0.0008176267 0.0017287451 0.0016352534 0.0030087305 0.034996465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028146475 1.9599422e-05 3.7494545e-05 1.9599422e-05 5.0276776e-05 1.4486529e-05 4.345959e-05 1.5338677e-05 6.81719e-05 2.130372e-05 9.373636e-06 1.3634381e-05 5.538967e-05 9.373636e-06 1.5338677e-05 0.0002829134 0.03771014 0.0013106049 0.0015057469 0.0005036199 0.0006374073 0.0003527896 0.00036557182 0.00024967958 0.00071921357 0.00054963597 0.00025990538 0.00039369272 0.0003826148 0.00041158785 0.00022752372 0.0032858858 0.055836197 0.0033472404 0.002262455 0.0014733652 0.0018926224 0.00081294996 0.0010455865 0.0009441808 0.002868333 0.00038346695 0.00043289157 0.0009654846 0.00078142044 0.0007106921 0.00065785885 0.0006288858 0.019388942 0.001076264 0.0007831247 0.0005811655 0.00067916256 0.0005027678 0.00030336497 0.00032040794 0.0017579829 0.00016872546 0.00020622001 0.000532593 0.00029228703 0.0006433723 0.00023348877 0.00045334315 0.049510695 0.0018858053 0.0031631764 0.0020647566 0.0029015667 0.0024473714 0.009679558 0.005550045 0.0015509108 0.00076011673 0.00087260036 0.00066041533 0.0010796725 0.0011998254 0.00079505483 0.003138464 0.050873283 0.0030114937 0.005106928 0.0031623242 0.005075398 0.00419172 0.01958323 0.011910483 0.001248398 0.0009501459 0.0012066427 0.0010924548 0.0013608816 0.00091094704 0.00086748746 0.0046314285 0.018583661 0.001037065 0.0023970946 0.0015355721 0.00257775 0.001942047 0.0069339345 0.004495937 0.0005973563 0.0005061764 0.0005854262 0.0005607139 0.00089134765 0.0006161036 0.00057775684 0.0015372764 0.013287556 0.0011521052 0.0011239842 0.00097059744 0.002118442 0.0011589223 0.0015210856 0.0015270506 0.0021235547 0.0007822726 0.00400936 0.0007967591 0.0038474516 0.0010805246 0.0012151642 0.0016795852 0.02010645 0.0031324988 0.0036267452 0.0019377864 0.010311852 0.004931385 0.0067157843 0.0045334315 0.008470359 0.0011265407 0.00080613274 0.0015688059 0.0077605187 0.0011086456 0.0023723822 0.0052603143 0.09316457 0.0141294785 0.024236815 0.013572173 0.07811563 0.016360404 0.008194263 0.0152994795 0.070444584 0.0063664033 0.0042189886 0.00995821 0.04079918 0.008775428 0.018839305 0.03127727 0.0032995201 0.00063655514 0.0010813768 0.0006535981 0.0037554197 0.0009083906 0.0003928406 0.0006800147 0.003350649 0.000349381 0.00024371454 0.00044482166 0.0015739187 0.0004789076 0.0011546616 0.0019386385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2602.0 18.919292 49228.0 0.021390265 0.0010766231 0.00034533194 0.000101568214 0.010177135 0.00016250914 0.002559519 0.00044690014 0.0056675063 0.005179979 0.00044690014 0.00046721377 0.008125457 0.007455107 0.004672138 0.00016250914 0.0042455513 0.0021735597 0.0019704234 0.003758024 0.0010766231 0.00024376372 0.00091411395 0.00032501828 0.0017266596 0.0017469733 0.0067441296 0.00091411395 0.0009547412 0.004469001 0.0017266596 0.000568782 0.0033720648 0.035345737 0.004956529 0.015905581 0.011619404 0.012066304 0.0048549604 0.005606565 0.011680344 0.015011782 0.00022345007 0.0031689282 0.011517836 0.0049159015 0.0073941657 0.0051596654 0.0075973026 0.0007109775 0.010359958 0.016189974 0.0142195495 0.010177135 0.010299017 0.03422849 0.0014828959 0.0013000731 0.00065003656 0.0012188186 0.005037783 0.0040017874 0.006317543 0.014950841 0.0009547412 0.036889575 0.004672138 0.022446575 0.026346795 0.08639392 0.012330381 0.013752336 0.011781912 0.044080604 0.0008734866 0.00546437 0.026814008 0.013285122 0.04070854 0.035000406 0.023766963 0.00083285937 0.050946616 0.030632973 0.061753474 0.016921265 0.0065816203 0.006256602 0.0057690744 0.014625823 0.0033314375 0.00026407736 0.0014828959 0.00018282278 0.00012188186 0.0011985049 5.5786133 0.0 0.0 1.0 3.0 588288.0 618496.0 1.0 4.0 275.0 1.0 1.0 0.0 0.0 0.0 1540437600.0 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 1.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 316416.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 186368.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -316416.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.42403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.815179 0.0 0.0 0.0 0.0 5.7816496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2848623 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.31055 0.0 2.1027544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 186276.0 0.0 0.0 0.0 0.0 15924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -316240.0 0.0 57688.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 -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 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 -1.0 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 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 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 499312.0 840.0 499480.0 58240.0 548864.0 15924.0 528384.0 0.0 0.0 4724.0 610304.0 56.0 377296.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 328064.0 0.0 0.0 2528.0 355848.0 448.0 496312.0 0.0 0.0


Input: 0.05682389 0.008318072 0.0061804145 0.0056633903 0.005765134 0.004966757 0.0041984874 0.005420451 0.0050487746 0.0056374352 0.0037468697 0.0044663437 0.0049511837 0.0031727443 0.0043220334 0.0046407613 0.005044622 0.0037665956 0.0049356106 0.0041569597 0.0043531796 0.0031696297 0.004102973 0.0038392697 0.0050788824 0.0033482003 0.0031634006 0.0029318815 0.004160074 0.003438524 0.003783207 0.0037863215 0.0061762617 0.0038174675 0.0034842049 0.0030190905 0.0048992736 0.0041673416 0.0038423843 0.003722991 0.0047279703 0.0038901416 0.0033295127 0.0030948792 0.004370829 0.003722991 0.0037240293 0.0035776428 0.0055170036 0.0039462047 0.0031052611 0.0029028119 0.003680425 0.0030741151 0.0026847895 0.0028581691 0.004169418 0.0033118634 0.0035257328 0.0033533913 0.004007458 0.0032205016 0.0035039305 0.0034561735 0.0066071153 0.003948281 0.0036170946 0.0032205016 0.00415073 0.0032194634 0.003541306 0.0030595802 0.0050010174 0.003778016 0.0037043036 0.0035849104 0.0041268514 0.0031291398 0.0035641463 0.0034665554 0.0051692063 0.0036233237 0.0036523936 0.0033326275 0.003932708 0.0033762318 0.0033648117 0.0035340386 0.0046469904 0.0036378587 0.003803971 0.0035070453 0.004108164 0.0033824611 0.003685616 0.0037863215 0.005909444 0.0036295531 0.003340933 0.002954722 0.004013688 0.0030491983 0.0032651443 0.0030305106 0.0049854442 0.0031644388 0.0031945466 0.003047122 0.0035766046 0.002831176 0.003084497 0.0031945466 0.00450891 0.0032869466 0.0032256925 0.003139522 0.0038891034 0.0033243217 0.003294214 0.0036254001 0.0046293414 0.0032921375 0.0034800519 0.0031644388 0.004036528 0.0031945466 0.0034665554 0.0033419712 0.008654449 0.004598195 0.0040116115 0.003530924 0.0043697907 0.0034374858 0.0030232433 0.003387652 0.004541094 0.0038320024 0.00295576 0.0031893556 0.003727144 0.0027938008 0.0028394815 0.002980677 0.005238766 0.0032059667 0.003500816 0.0030180523 0.0036627755 0.0031779353 0.0033014813 0.0032651443 0.004547323 0.0028384433 0.0030408928 0.0027107445 0.0035174272 0.003227769 0.0029837915 0.0031478275 0.0050165905 0.0034084162 0.0032651443 0.0027958772 0.003773863 0.0030055938 0.0030554275 0.0031831262 0.004138272 0.0030024792 0.0031166815 0.0030107847 0.0036482406 0.002832214 0.002914232 0.0030294724 0.0046667163 0.003110452 0.003845499 0.0028612837 0.0035662227 0.003150942 0.002986906 0.0031166815 0.0042535122 0.0031405601 0.0033430094 0.0031800116 0.0036492788 0.003182088 0.0033305509 0.003346124 0.0067296233 0.0040645595 0.0037198765 0.0033388566 0.004118546 0.0032506094 0.0032994049 0.0032236162 0.004334492 0.003331589 0.0031187579 0.0030803443 0.0036482406 0.0029827533 0.0030761915 0.002794839 0.00425455 0.003274488 0.0030928028 0.00299625 0.0037074182 0.003022205 0.0029308433 0.0029474546 0.003975274 0.003109414 0.002718012 0.0026349558 0.0035330004 0.0029422636 0.0035776428 0.0028862006 0.00495326 0.0032308835 0.003398034 0.0029713332 0.003809162 0.003067886 0.0032038903 0.0029100792 0.004446618 0.0054557496 0.0034717463 0.003130178 0.003783207 0.0030824207 0.0032454184 0.0031852028 0.0046168827 0.0033170544 0.0034115307 0.0030398546 0.0037406406 0.0030855353 0.0033118634 0.003248533 0.004352141 0.0030294724 0.0031852028 0.0028602455 0.004013688 0.0030896883 0.004226519 0.0045265593 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.004592132 0.00029484075 0.0002735207 0.00026520068 0.00031044078 0.00023972061 0.00033072085 0.0003135608 0.00032760084 0.00035360092 0.00032760084 0.00035360092 0.0005231213 0.00015184039 0.00018720048 0.0007399619 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.099305175 0.06201172 0.06244644 0.05531618 0.060585875 0.05952975 0.05492774 0.0544561 0.060464196 0.053135816 0.052103095 0.052935097 0.056411304 0.05051917 0.056642704 0.053831577 4012.0 5.704636 22887.0 0.017215014 0.010486302 0.009393979 0.008607507 0.013413728 0.012408791 0.01179709 0.011447547 0.01253987 0.009743523 0.008476428 0.008607507 0.013938043 0.010529995 0.011753397 0.009961987 0.016734391 0.011928169 0.008738585 0.007558876 0.009830908 0.008520121 0.007821034 0.008345349 0.010267838 0.008432735 0.009612444 0.008869664 0.011534932 0.00895705 0.009656137 0.009175515 0.018088872 0.010923232 0.010355224 0.009044436 0.010879539 0.008825971 0.01074846 0.008301656 0.014287587 0.011622318 0.009743523 0.00895705 0.011447547 0.009350286 0.011666011 0.009568751 0.014811902 0.009612444 0.01000568 0.009000743 0.01210294 0.009437672 0.009568751 0.009787216 0.013675886 0.009219208 0.010529995 0.009525058 0.011141696 0.009830908 0.010398916 0.010704767 0.017957794 0.011010617 0.00969983 0.008170577 0.013107878 0.008257963 0.009393979 0.008389042 0.015467295 0.009306593 0.008913357 0.008694893 0.011360161 0.008039499 0.009918294 0.007864727 0.013195263 0.007995806 0.008738585 0.008869664 0.011447547 0.009437672 0.008257963 0.00790842 0.010923232 0.008869664 0.011884476 0.008432735 0.011316468 0.00895705 0.01000568 0.008738585 6.554501 0.0 0.0 0.0 14.0 963204.0 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: 0.094616644 0.004873509 0.005142545 0.00954855 0.0050102323 0.0041016866 0.0025624514 0.003118164 0.003012314 0.002663891 0.0019141204 0.002258133 0.0024962951 0.0019449933 0.0022272598 0.0022449016 0.0027785618 0.002959389 0.002249312 0.0021566933 0.0023507515 0.003215193 0.002588914 0.0022625432 0.0022007974 0.002240491 0.0018832475 0.0019538142 0.0019935078 0.002421318 0.0020508433 0.0020067391 0.0023683931 0.0022625432 0.002143462 0.0019802765 0.0024124973 0.0025227577 0.0023154682 0.0021169996 0.0021611038 0.0024874744 0.0020332015 0.0020464328 0.0022845953 0.0021743348 0.0021478725 0.0020464328 0.002421318 0.0026065556 0.002399266 0.0023507515 0.002280185 0.002258133 0.0023904452 0.002844718 0.0021346412 0.0024345494 0.0022449016 0.002271364 0.0024433702 0.0020464328 0.0022316703 0.0024124973 0.0032592972 0.0029770306 0.0021743348 0.002844718 0.0031799097 0.003140216 0.003100522 0.0032813493 0.0023507515 0.002844718 0.002240491 0.001984687 0.00243896 0.0026815326 0.0024036765 0.002165514 0.0028358973 0.002959389 0.0024257286 0.0022845953 0.0026286077 0.002694764 0.0026859432 0.0023507515 0.0021787453 0.0025712724 0.0021478725 0.0022140287 0.0022669537 0.0025403993 0.0026374285 0.002610966 0.0021566933 0.0031269847 0.0023595723 0.0026241974 0.0026991745 0.0030917013 0.0023375202 0.0025800932 0.0025448098 0.002928516 0.002535989 0.0022757745 0.0027829723 0.0026594806 0.0025756827 0.0026021453 0.0025933243 0.0027344576 0.003193141 0.0028932327 0.0034754076 0.0026065556 0.002355162 0.003012314 0.0024874744 0.0024169078 0.0022140287 0.0020817162 0.0021478725 0.002240491 0.0022360808 0.0021522827 0.0027432786 0.0024566015 0.0021478725 0.0027432786 0.0028138452 0.0029108743 0.0025271683 0.0032813493 0.0024962951 0.0031843202 0.0024786536 0.0041722534 0.002399266 0.0027609202 0.002249312 0.002143462 0.17860419 0.0024786536 0.0021169996 0.0021875661 0.0026241974 0.0022625432 0.0027785618 0.0020817162 0.0023198787 0.002566862 0.0027520994 0.0022757745 0.002619787 0.008551796 0.019255875 0.0031534473 0.0023904452 0.0027035847 0.0029637993 0.002293416 0.0021875661 0.0021081786 0.0023066474 0.0023728036 0.0021611038 0.00360772 0.0031269847 0.0031666784 0.004370722 0.018854527 0.0041237385 0.0031358055 0.003343095 0.0034401242 0.0021831559 0.0023728036 0.0021478725 0.0020640746 0.0024566015 0.003321043 0.002483064 0.0024169078 0.0022625432 0.0022669537 0.0019449933 0.0020949475 0.0022537224 0.0021611038 0.002990262 0.0028491286 0.0022052077 0.0022625432 0.0027035847 0.0023728036 0.0027565097 0.0032240138 0.0022449016 0.002919695 0.0020243807 0.0021037683 0.0035415639 0.0024477807 0.0022625432 0.0021302307 0.002430139 0.002619787 0.002165514 0.002090537 0.0026550703 0.0020728954 0.0025624514 0.0022537224 0.0027388681 0.0023507515 0.0022449016 0.0022669537 0.0022052077 0.0021919766 0.0021611038 0.002240491 0.002258133 0.002386035 0.0022890058 0.002112589 0.002165514 0.0021522827 0.0023022369 0.0037091596 0.004022299 0.01124656 0.0029241056 0.0025051162 0.002875591 0.0029152848 0.0028094347 0.0023066474 0.0025536306 0.0027079952 0.002641839 0.0025624514 0.0025403993 0.0025183472 0.002694764 0.0032019618 0.0030475971 0.0025492203 0.0043530804 0.0051645967 0.003118164 0.0025271683 0.0048999717 0.016278844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17272727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041592685 2.2194603e-05 2.2194603e-05 7.768111e-05 7.324219e-05 2.6633523e-05 9.099787e-05 2.6633523e-05 1.9975141e-05 4.4389203e-06 2.2194602e-06 4.4389203e-06 6.6583807e-06 0.0 4.4389203e-06 4.4389203e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003457919 1.5536221e-05 2.2194603e-05 0.00013760653 1.3316761e-05 1.5536221e-05 6.6583807e-06 1.9975141e-05 1.9975141e-05 0.0004394531 0.00030850497 2.2194603e-05 1.5536221e-05 1.7755681e-05 1.5536221e-05 1.7755681e-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 0.0059481533 4.6608664e-05 9.987571e-05 0.0003351385 0.0005570845 0.000419478 0.0015269887 0.0009898792 5.7705965e-05 0.0028830788 0.0003351385 5.3267046e-05 0.00023304332 5.3267046e-05 5.7705965e-05 3.9950282e-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 0.0042990944 0.00015536221 0.00011319247 0.00023748225 0.0009765625 0.0005415483 0.0014359908 0.00094549 0.00061700994 0.0023925782 0.00016424006 8.6558946e-05 0.0007879084 9.543679e-05 0.00026411578 0.00052379264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009319513 0.00061035156 0.0004860618 0.00062588777 0.0015469638 0.0007013494 0.0009321733 0.0009721236 0.0012806285 0.002869762 0.0026988636 0.0008988814 0.0014404297 0.00043723366 0.0012051669 0.0012473366 0.015316495 0.0021639736 0.0011163885 0.0013960404 0.0020197087 0.0015292082 0.0018110796 0.0017777877 0.0023837003 0.006278853 0.005990323 0.0020419033 0.0018754438 0.0013361151 0.0035378195 0.003970614 0.031283293 0.006010298 0.00481179 0.0055087004 0.006789329 0.0063520954 0.0058993255 0.006114613 0.0064985794 0.017251864 0.016617099 0.0075550424 0.0064586294 0.005977006 0.011898526 0.018610174 0.07113148 0.028351385 0.028884055 0.029474432 0.031107955 0.030568626 0.03014027 0.030031517 0.03276145 0.03520064 0.0360063 0.028635476 0.030324485 0.029447798 0.034228515 0.039160155 575.0 7.495652 4310.0 0.005336427 0.0060324827 0.0060324827 0.00649652 0.0076566124 0.0048723896 0.007424594 0.0048723896 0.0081206495 0.005336427 0.0060324827 0.007424594 0.00649652 0.00649652 0.008352668 0.005800464 0.00649652 0.008584687 0.009976798 0.010440836 0.0076566124 0.009976798 0.0060324827 0.007424594 0.008816705 0.0067285383 0.0067285383 0.007888631 0.0055684457 0.0055684457 0.00649652 0.0081206495 0.007888631 0.012064965 0.007424594 0.012761021 0.008352668 0.010672854 0.010904873 0.012296984 0.009048724 0.010672854 0.006960557 0.0062645013 0.010208816 0.007424594 0.007424594 0.007888631 0.009280742 0.009976798 0.0125290025 0.0125290025 0.009048724 0.005800464 0.009744779 0.014385151 0.0062645013 0.008352668 0.005104408 0.008584687 0.009976798 0.0071925754 0.0071925754 0.013689095 0.009744779 0.024593968 0.008816705 0.018097447 0.018097447 0.053596288 0.009048724 0.014385151 0.0125290025 0.021577727 0.008352668 0.008584687 0.023433875 0.013689095 0.021345709 0.02111369 0.013921114 0.0071925754 0.02598608 0.01763341 0.034338746 0.010672854 0.0062645013 0.009048724 0.011600928 0.012296984 0.008352668 0.007424594 0.0044083525 0.007888631 0.00649652 0.0062645013 6.371178 0.0 0.0 0.0 1.0 226736.0 372736.0 0.0 0.0 87.0 0.0 1.0 0.0 0.0 0.0 1365568000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 43520.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 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 178176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -43520.0 0.0 1024.0 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 0.0 0.0 0.0 7.5279274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2412698 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.704966 0.0 2.1237745 0.0 0.0 0.0 0.0 -3.6532447 0.0 0.0 0.0 0.0 0.0 0.0 100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 177894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43319.0 0.0 123448.0 0.0 0.0 0.0 0.0 -806.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 224904.0 568.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 376.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.009410003 0.0039026209 0.0038428297 0.003748044 0.004017404 0.0036632563 0.0037504435 0.0037170483 0.004129187 0.003881424 0.003833431 0.0036928519 0.003933816 0.0037142488 0.0037146488 0.003995807 0.004016804 0.0037414448 0.0038214328 0.0037218477 0.0039592125 0.0038060353 0.0037330461 0.0037556426 0.003995607 0.0038002362 0.0038366306 0.003720648 0.0038242324 0.0037352457 0.0038060353 0.0039184187 0.0039656116 0.0038786244 0.003847429 0.003760642 0.004229972 0.0038270322 0.003788238 0.0038464293 0.0039246175 0.003901021 0.003834031 0.0038732253 0.003951614 0.0037490437 0.0038574275 0.004030802 0.0038372306 0.003867826 0.003867826 0.0038938222 0.0038462293 0.003936016 0.0037082497 0.0038228326 0.0038792244 0.0038438295 0.003855228 0.0038358308 0.003820633 0.0038392302 0.003922218 0.0040000062 0.003814834 0.003942415 0.0038044355 0.0038584275 0.003914819 0.0039264173 0.0038908226 0.0037460441 0.003965012 0.0039738105 0.0039134193 0.0038884229 0.0039180187 0.003868826 0.0038722253 0.0038926224 0.0039120195 0.0039038206 0.003924018 0.0039444147 0.0038804242 0.0038982215 0.0038592273 0.0039134193 0.0037914373 0.00384083 0.0038436295 0.0038160337 0.0038578275 0.00390802 0.0039380156 0.0040206034 0.0037366454 0.0038506286 0.0038800242 0.0038628269 0.0038500286 0.004085194 0.003854028 0.0038370306 0.0037766395 0.003934416 0.00390722 0.0037858381 0.0038238326 0.0038090348 0.003887223 0.004018204 0.0038054353 0.0038234326 0.0040080054 0.003982409 0.004105391 0.004037601 0.00377364 0.0038790244 0.0038248324 0.00390662 0.003924818 0.0038626269 0.003950014 0.003959812 0.0040344014 0.004004006 0.003672255 0.0036374603 0.003726247 0.0040204036 0.0038036355 0.00397541 0.0038228326 0.0039098198 0.0037448443 0.004117589 0.0038320313 0.004502332 0.003747444 0.0039652116 0.0038232326 0.0038884229 0.0036932519 0.0038108344 0.0038130342 0.003800836 0.0038492288 0.0039652116 0.0038560277 0.0039314167 0.0037142488 0.0038254324 0.0037900375 0.003820233 0.00384123 0.0037732401 0.0038928222 0.004030202 0.0036366603 0.0038966218 0.0038026357 0.0038868233 0.0038270322 0.003887023 0.003780439 0.0038868233 0.0037412448 0.0038502286 0.0038306315 0.003827232 0.0037996361 0.0037974364 0.0038112344 0.003930817 0.0036064647 0.0038104346 0.0038436295 0.0038562277 0.003727047 0.003874625 0.0038166337 0.0038798242 0.0037718404 0.003867626 0.003820833 0.0038862233 0.003895422 0.0039678114 0.0039908076 0.004009005 0.003753643 0.003874825 0.0037554428 0.0038830237 0.003854228 0.00391102 0.0038446295 0.004029602 0.0037012508 0.0039120195 0.0038398302 0.003920418 0.0039658113 0.0038368306 0.003833231 0.00397421 0.003734046 0.0039102198 0.0038996213 0.0039398153 0.0037624417 0.0039138193 0.003788238 0.0039394153 0.0037110492 0.0038762249 0.0038176335 0.0038884229 0.0037692406 0.0039094198 0.0039528133 0.004050599 0.0037026505 0.0038452293 0.003867626 0.003948214 0.0038120344 0.0040408005 0.0038920224 0.0039618122 0.0040042056 0.0040264023 0.00390962 0.004030402 0.0038304315 0.0039328164 0.0039112195 0.004128387 0.0038652264 0.003997807 0.0038862233 0.0040084054 0.003959412 0.004005206 0.003955013 0.0041311868 0.003946014 0.0040124045 0.0040138043 0.0041009914 0.0040428 0.004198177 0.004142785 0.0053192107 0.00020483408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048828125 1.2001997e-05 9.801631e-06 2.1003495e-06 1.19019805e-05 4.500749e-06 1.8503079e-05 8.201365e-06 5.4008988e-06 2.2003662e-06 2.1003495e-06 5.300882e-06 1.6902814e-05 5.700949e-06 2.800466e-06 1.8803128e-05 0.0006052007 3.840639e-05 4.3307205e-05 3.6806123e-05 1.640273e-05 8.201365e-06 1.1101847e-05 1.280213e-05 1.0301715e-05 1.24020635e-05 6.9011485e-06 9.1015145e-06 8.601432e-06 1.220203e-05 7.3212184e-05 0.00011921984 0.00062520406 8.5014144e-05 0.00012952155 8.7714594e-05 1.5902646e-05 5.4008988e-06 1.9803296e-05 1.490248e-05 2.0503412e-05 8.601432e-06 8.701448e-06 6.6010984e-06 1.2102014e-05 8.601432e-06 4.8708105e-05 0.00013172191 0.0005067843 1.340223e-05 2.3903978e-05 2.6004327e-05 1.6502747e-05 9.901648e-06 4.6607754e-05 2.7204527e-05 1.1701947e-05 1.35022465e-05 8.501414e-06 1.5402564e-05 3.100516e-05 9.641604e-05 0.00021303546 0.00016912814 0.00021223532 9.901648e-06 2.530421e-05 1.46024295e-05 1.070178e-05 1.0501747e-05 5.2708772e-05 2.9104844e-05 9.001498e-06 4.9008154e-06 4.6007654e-06 5.300882e-06 6.3010484e-06 3.900649e-06 6.0009984e-06 4.6007654e-06 0.00080973475 7.5512566e-05 0.000116419375 7.3412215e-05 8.7714594e-05 7.891313e-05 0.0003100516 0.00015932652 4.3607255e-05 2.2703778e-05 2.8204693e-05 2.9404893e-05 5.810967e-05 0.00011481911 0.00016962823 0.00028044666 0.00045237527 3.490581e-05 2.4804127e-05 0.00019343219 3.960659e-05 3.280546e-05 4.9408223e-05 3.7906306e-05 4.6707773e-05 2.4904144e-05 2.6904478e-05 3.1405227e-05 7.3212184e-05 0.00010991829 0.000119519886 0.00013602263 0.00019023166 1.8103012e-05 2.1903645e-05 9.601597e-06 1.9903311e-05 1.8103012e-05 5.4109005e-05 2.950491e-05 4.4807457e-05 1.0001664e-05 1.1801963e-05 1.2502081e-05 2.3703944e-05 2.0403395e-05 2.4504077e-05 0.00010531752 0.0017856972 0.00037706274 0.00046437728 0.00036216027 0.00061520236 0.00055029156 0.00023063838 0.00047377884 0.0012376059 8.061341e-05 7.39123e-05 0.00015702612 0.00067221187 0.00018083009 0.00036926146 0.00076752773 0.0009812632 0.00023473905 0.00021983658 0.00021853637 0.00035505908 0.00031505243 0.0001544257 0.00030505075 0.00061270193 4.7507907e-05 7.171193e-05 9.801631e-05 0.00033825627 0.00013752289 0.0002788464 0.00054749113 0.060017187 0.060299333 0.061188683 0.06075651 0.06100555 0.06122289 0.06095404 0.06178718 0.06015321 0.06118508 0.06095194 0.061259195 0.060652994 0.06117808 0.06154574 0.06331064 24371.0 6.102991 148736.0 0.014508928 0.010212726 0.009607627 0.009284908 0.010105153 0.009587457 0.0092378445 0.009943793 0.010051366 0.010313576 0.0096210735 0.009338694 0.011301904 0.009116825 0.010407702 0.012344019 0.0100379195 0.009970686 0.01013877 0.009903453 0.0096546905 0.013755917 0.0098765595 0.0096546905 0.009500054 0.00939248 0.009903453 0.009089931 0.010172386 0.00967486 0.010663188 0.010051366 0.008975634 0.010266513 0.009305078 0.009029421 0.0094933305 0.00985639 0.009661414 0.009049592 0.010031196 0.011147267 0.010145493 0.009540394 0.01149688 0.0099101765 0.010831271 0.009930346 0.009863113 0.010427873 0.010253066 0.011577561 0.010885058 0.010145493 0.00975554 0.009668137 0.009547117 0.010051366 0.01013877 0.009479884 0.009943793 0.009170611 0.010058089 0.0099169 0.009069761 0.012095256 0.009890007 0.010723698 0.01177926 0.016055293 0.010367363 0.010300129 0.010353915 0.013211328 0.00969503 0.009520223 0.011483434 0.010387532 0.0133659635 0.013809703 0.01137586 0.009863113 0.0130163515 0.012619675 0.014320675 0.012175936 0.009768987 0.009580733 0.009661414 0.010333746 0.011725473 0.009036144 0.010051366 0.009244568 0.0095135 0.009627797 6.573652 1.0 0.0 0.0 85.0 5000742.0 155648.0 1.0 0.0 79.0 1.0 1.0 0.0 0.0 0.0 1427858000.0 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 63488.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63488.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.027506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.802892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.553369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.675024 0.0 6.4146204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21374.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63288.0 0.0 34296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 89076.0 34296.0 110592.0 0.0 0.0 3112.0 16837568.0 2688.0 147456.0 28.0 70016.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 87888.0 0.0 0.0 332.0 69632.0 0.0 0.0 0.0 0.0


Input: 0.056687355 0.008298085 0.006172814 0.0056622103 0.0057502454 0.004960001 0.004199792 0.005422962 0.005045965 0.0056228535 0.0037513308 0.004472183 0.0049548224 0.0031682278 0.0043240767 0.0046368605 0.0050335363 0.0037679023 0.004927894 0.0041635423 0.004352041 0.0031765136 0.004104507 0.0038455802 0.0050718575 0.0033577622 0.0031620136 0.002931051 0.004153185 0.0034385473 0.003786545 0.0037906878 0.006168671 0.0038124376 0.003482047 0.003029443 0.0049040727 0.004170792 0.003846616 0.0037171526 0.00472386 0.0038901155 0.003329798 0.0030936569 0.004370684 0.0037254381 0.0037254381 0.0035835463 0.0055172113 0.003951222 0.0031071212 0.0029020512 0.0036798671 0.0030677642 0.0026876598 0.0028616586 0.004166649 0.0033070126 0.0035224396 0.0033577622 0.004008186 0.003231406 0.003506904 0.0034530472 0.006600561 0.0039481153 0.0036177246 0.003221049 0.0041593993 0.003224156 0.0035504038 0.00306155 0.0049993577 0.0037803308 0.0037026526 0.0035887249 0.004129364 0.0031236925 0.0035576536 0.0034665114 0.005166107 0.0036280816 0.003659153 0.0033432622 0.0039232583 0.003372262 0.0033556907 0.0035338325 0.0046482533 0.0036425816 0.0038082947 0.0035017254 0.0041158996 0.0033877976 0.0036881526 0.0037855092 0.005913887 0.003637403 0.0033453337 0.0029569436 0.004010258 0.0030460143 0.003269727 0.0030377288 0.0049755364 0.0031620136 0.0032034419 0.0030460143 0.0035825106 0.0028285158 0.003079157 0.0031941205 0.00450429 0.0032904414 0.0032303703 0.0031475136 0.0038901155 0.0033391195 0.0032956197 0.0036260104 0.0046233963 0.003294584 0.0034799757 0.0031754777 0.0040392573 0.0031858347 0.0034737615 0.0033422266 0.008639868 0.004595432 0.0040133647 0.0035224396 0.004368612 0.0034406187 0.0030232288 0.0033857264 0.004538468 0.0038445445 0.0029610863 0.0031941205 0.0037285453 0.0028026232 0.0028430158 0.0029859433 0.005229285 0.0032034419 0.0035006898 0.0030315146 0.0036601888 0.0031796205 0.003312191 0.0032624772 0.0045415754 0.0028430158 0.003043943 0.0027094097 0.003521404 0.0032272632 0.0029828362 0.0031506207 0.0050107506 0.003411619 0.0032707627 0.0027953733 0.0037741165 0.003014943 0.0030574072 0.0031827276 0.0041417927 0.0029994075 0.003121621 0.0030139075 0.0036436173 0.0028368016 0.0029186225 0.0030335858 0.0046637887 0.003111264 0.0038414374 0.0028626942 0.0035638679 0.0031578708 0.0029890505 0.0031174782 0.0042474344 0.0031444065 0.0033380839 0.0031796205 0.0036529386 0.003192049 0.0033318696 0.0033463694 0.0067175957 0.0040630787 0.0037285453 0.0033391195 0.004111757 0.0032531559 0.0033007984 0.0032262274 0.004330291 0.0033329052 0.0031091925 0.0030843355 0.003648796 0.002990086 0.003086407 0.0027912306 0.004243292 0.003276977 0.0030874426 0.002994229 0.0037109384 0.003026336 0.002934158 0.0029476222 0.003983329 0.003111264 0.0027228738 0.0026358743 0.0035245111 0.0029476222 0.0035731893 0.0028885868 0.0049589653 0.0032272632 0.0034002261 0.0029673006 0.0038196875 0.0030781212 0.0032034419 0.0029113726 0.004445255 0.005454033 0.0034644401 0.003135085 0.0037886163 0.0030832998 0.0032479772 0.0031972276 0.004609932 0.0033204767 0.0034188689 0.0030418716 0.0037275096 0.0030874426 0.0033132269 0.0032407274 0.004344791 0.0030284075 0.0031930848 0.0028637298 0.0040071504 0.0030905497 0.004225685 0.004515683 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922591 0.062012237 0.06246627 0.05532678 0.060595132 0.059564605 0.054943834 0.05448513 0.060476825 0.053156756 0.052116368 0.052941933 0.056414906 0.050534256 0.056668125 0.053810567 4025.0 5.7036023 22957.0 0.01720608 0.010454328 0.009321775 0.00871194 0.013416387 0.012501634 0.011891798 0.011456201 0.012588752 0.009713813 0.008450582 0.00862482 0.013895544 0.010541447 0.0118046785 0.010018731 0.016726924 0.011935357 0.00871194 0.007535828 0.009800932 0.0084941415 0.007840746 0.008319902 0.010367208 0.008450582 0.009626693 0.008886179 0.011586879 0.0090168575 0.009670253 0.009191097 0.018033715 0.010977044 0.010367208 0.009103977 0.010889925 0.008799059 0.010672126 0.008276342 0.014200462 0.011586879 0.009713813 0.008929738 0.011412641 0.009321775 0.011673999 0.009539574 0.014766738 0.009583133 0.009975171 0.009103977 0.012022477 0.009365335 0.009583133 0.009757373 0.013677745 0.009234656 0.010497888 0.009496015 0.011107723 0.009800932 0.010410768 0.010672126 0.017990155 0.010977044 0.009713813 0.008189224 0.013111469 0.008232783 0.009365335 0.008363462 0.015463693 0.0092782155 0.008929738 0.00871194 0.011369081 0.008014984 0.009888052 0.007840746 0.013242149 0.008014984 0.00871194 0.008842619 0.011499761 0.009539574 0.008232783 0.007884306 0.010889925 0.008929738 0.011978917 0.0084941415 0.011369081 0.008929738 0.009975171 0.00871194 6.554493 0.0 0.0 0.0 14.0 965524.0 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: 0.40682086 0.011999991 0.005852087 0.004486009 0.0047674235 0.0032783651 0.0027000257 0.0022745805 0.005438829 0.001935554 0.0024219353 0.0019289063 0.0042090267 0.0030368364 0.0018291926 0.0047186743 0.01157787 0.0018746178 0.0015666132 0.0018701861 0.0038267907 0.0041336874 0.0019455253 0.0015843401 0.0020352677 0.0020097853 0.002077369 0.0012386659 0.0016862697 0.0015555338 0.0011921328 0.004517031 0.0052704234 0.0015721528 0.0016463841 0.0015987431 0.003186407 0.0015632894 0.0014170426 0.001348351 0.0014292299 0.0011278728 0.0010015689 0.0013007099 0.0016696507 0.0013195447 0.0017460978 0.0010126481 0.0036162839 0.0019012081 0.0020673976 0.0033260062 0.0018724019 0.0021737588 0.0015754766 0.001299602 0.0016519238 0.0019156112 0.0015821242 0.002725508 0.0014591439 0.0017261552 0.0013372716 0.0016064987 0.0037603148 0.0017405582 0.0012530689 0.002059642 0.0025814772 0.005260452 0.0023056027 0.0019554966 0.0015344832 0.0016364128 0.0018757257 0.0009162582 0.0016596793 0.002887266 0.0017516376 0.0017416661 0.0044283965 0.0013871285 0.0013682937 0.0032750415 0.0013982079 0.0023554594 0.0032418035 0.002807495 0.0010868794 0.0021837302 0.0008686172 0.0013040338 0.0015477784 0.0016353049 0.001760501 0.0014469568 0.0011278728 0.0034811164 0.0010902033 0.0019765473 0.0024928427 0.005913023 0.0024795476 0.0014126109 0.0030135699 0.0036063124 0.0029692526 0.0010647208 0.0037315087 0.0016441683 0.0032008102 0.0033758632 0.0021194704 0.000983842 0.0038910506 0.0031997021 0.0076657687 0.0073311734 0.0014181506 0.0017150758 0.0016563556 0.0013195447 0.0011156857 0.0008996393 0.0012320183 0.0018812653 0.0011478156 0.0011998883 0.0040805065 0.001711752 0.0013383796 0.005517492 0.0017538534 0.003615176 0.0010204037 0.0008940996 0.0018347322 0.0042245374 0.001395992 0.009876089 0.0011334125 0.003680544 0.0010514257 0.0012187231 0.0011877011 0.0009428485 0.0009173661 0.0010159719 0.0010824477 0.00096168334 0.0009151503 0.0007666876 0.0009650071 0.00090961065 0.0007500687 0.0007567163 0.0009173661 0.0006769453 0.0007666876 0.000745637 0.0010015689 0.001220939 0.0006758374 0.001285199 0.00073677354 0.00073788146 0.00065257086 0.0005783395 0.00070464355 0.00077887485 0.00061268534 0.0006736215 0.000761148 0.0005140796 0.0005085399 0.0005639364 0.0008154366 0.0004985686 0.00054399366 0.0005805554 0.0005849871 0.0005251589 0.00089299167 0.00073344976 0.0009217979 0.00062487257 0.00058720296 0.0006448153 0.0005783395 0.0006957801 0.0008364872 0.0006149012 0.0037625306 0.0012575007 0.0010702605 0.0023044946 0.0012962782 0.0005794474 0.0010857715 0.0017206154 0.0010447782 0.0011156857 0.0005617206 0.0006880246 0.002599204 0.0005052161 0.0005595047 0.0005462096 0.00095725164 0.00076336385 0.00090961065 0.00077001145 0.0007389894 0.0004996765 0.0009561437 0.0007578242 0.001109038 0.0005783395 0.0007500687 0.0015887718 0.0008254079 0.0005694761 0.0006481391 0.0008686172 0.0017959548 0.0010658287 0.0007755511 0.00067251356 0.0014558202 0.00071572285 0.0008641855 0.0008475665 0.005437721 0.0017460978 0.001838056 0.0025271885 0.0023022788 0.0009716547 0.0012087518 0.00123645 0.0026590324 0.0017704724 0.0011046063 0.001315113 0.001695133 0.0011378443 0.0018192213 0.0020264043 0.0031476296 0.0016829459 0.0015178643 0.0018469195 0.0033913741 0.0019953821 0.002758746 0.108562745 0.015912974 1.8310548e-05 4.9937853e-06 4.4389203e-06 8.877841e-06 3.8840553e-06 2.7743254e-06 0.0 1.6645952e-06 1.1097301e-06 0.0 4.9937853e-06 0.0 1.6645952e-06 1.0542436e-05 0.010160134 0.012913929 0.0003983931 4.050515e-05 3.3291904e-05 5.8815695e-05 5.5486507e-05 2.4968927e-05 1.7755681e-05 2.5523792e-05 1.8865412e-05 1.8310548e-05 1.6645952e-05 2.1639737e-05 1.8865412e-05 2.4414063e-05 0.0022216798 0.11693559 0.004018333 0.00033125444 0.00076238456 0.00059148617 0.00056651724 0.00040560635 0.00036787553 0.00055541995 0.00028187144 0.0003096147 0.00030295632 0.00041060013 0.00026578037 0.00032071202 0.0031194515 0.06422064 0.0022893732 0.0004982688 0.00051824393 0.00037231445 0.00037342418 0.00033069958 0.0002857555 0.0004094904 0.0002286044 0.00034401633 0.00020141601 0.00024358576 0.0004494407 0.00021140359 0.006296054 0.04142234 0.0017522639 0.0006269975 0.00040283203 0.0003939542 0.00030739524 0.00023970171 0.00021528764 0.00035677824 0.00020252574 0.00039173473 0.00013927113 0.00017811169 0.0006547408 0.00032681553 0.012616522 0.012682551 0.0007224343 0.000472745 0.0006192294 0.00046164772 0.00020751954 0.0003334739 0.00031238902 0.000341242 0.00019142845 0.00020862927 0.00016812411 0.00012262518 0.00030462092 0.00035400392 0.014315519 0.010122958 0.000550981 0.00045498935 0.00047440964 0.00048661666 0.00034401633 0.00075128727 0.0004477761 0.0002746582 0.00012595436 0.00019198332 0.0001636852 0.0001636852 0.00016590465 0.00014759411 0.0067244098 0.01866566 0.00055486505 0.00080899324 0.0010292747 0.0009244052 0.00079456676 0.001976984 0.0011030717 0.00044444692 0.00026245118 0.00016534979 0.00018310547 0.0002430309 0.00016590465 0.0002652255 0.0019581188 0.026515337 0.00025135386 0.0018754438 0.0020208186 0.0017195268 0.0014531916 0.0072509767 0.0039417613 0.0009194114 0.0002763228 0.0001270641 0.00010875355 0.00012595436 9.321733e-05 0.00051047583 0.0005376642 0.024258146 0.0009321733 0.0015064586 0.0027937456 0.002142889 0.001615767 0.006069114 0.0033169833 0.0010043058 0.00045776367 0.0003223766 0.0003334739 0.0004411177 0.0003035112 0.00048717152 0.0017422762 0.016562723 0.0014665084 0.0013316761 0.0020385743 0.0017999823 0.0013954856 0.0038546475 0.0029496627 0.001990301 0.0007651589 0.00037897282 0.00035400392 0.00062200375 0.00050104316 0.0008195357 0.005215177 0.032563366 0.007072865 0.0055286754 0.0041792435 0.0042125355 0.0036726517 0.00717496 0.0069108442 0.006908625 0.0045299185 0.0012861772 0.0010581276 0.0017223011 0.0015874689 0.0047257855 0.028457364 0.020260343 0.0056673917 0.0035050826 0.004386763 0.0050981003 0.0029141512 0.004046631 0.0047224564 0.0040543987 0.0022338866 0.0025346235 0.0026034268 0.0025634766 0.0019359242 0.0030861595 0.015614457 0.022361618 0.0066500576 0.0043878728 0.0044267136 0.0059242942 0.005908758 0.003614391 0.005222945 0.010163464 0.0022477584 0.0021573154 0.0016745827 0.004264693 0.0020247025 0.004778498 0.011919611 0.032047898 0.012189276 0.006636741 0.007900723 0.010603472 0.012326327 0.006183416 0.008764649 0.016787997 0.002352073 0.0034468218 0.003260942 0.00947876 0.0047268956 0.009312855 0.01761752 0.00039173473 0.00015258789 0.00015924626 0.00020141601 0.00011041814 0.00013261275 0.00026966442 0.00018033115 0.000110973015 7.9900565e-05 9.321733e-05 7.601651e-05 8.822355e-05 6.2144885e-05 7.8790836e-05 8.544922e-05 2874.0 13.437021 38618.0 0.02967528 0.0023305195 0.0046092495 0.0018903102 0.0036511472 0.002201046 0.001450101 0.0017867315 0.002201046 0.0020197835 0.0010875757 0.0020456782 0.0025376768 0.00422083 0.010461443 0.004272619 0.0139313275 0.009555129 0.011678492 0.00950334 0.007017453 0.008933658 0.009451551 0.0059816665 0.0062406133 0.0075094514 0.009788182 0.0074576624 0.0068361904 0.0075871353 0.005800404 0.0039877775 0.0037806204 0.011574913 0.00266715 0.012766068 0.010487338 0.008752395 0.008260396 0.0118856495 0.0061629293 0.009762287 0.0016054689 0.0021492569 0.0072763995 0.0075094514 0.0052307216 0.004194935 0.013154487 0.00227873 0.0075871353 0.020767517 0.007871977 0.0042467243 0.008079134 0.017090475 0.0032627273 0.0026412553 0.0019162049 0.0019938888 0.0023046248 0.0018126263 0.0018903102 0.0027707287 0.0022269408 0.0373401 0.006939769 0.022554249 0.023305194 0.0751722 0.007172821 0.010823968 0.010979336 0.037728522 0.003573463 0.0033404112 0.03894557 0.014242063 0.036097158 0.040965352 0.015174271 0.002201046 0.043425344 0.029027915 0.055569943 0.017194055 0.0053343 0.008130924 0.0077166087 0.010539127 0.0031073592 0.0011911544 0.0017090476 0.0019679943 0.0016572583 0.0032109378 5.8571224 2.0 17.0 0.0 29.0 902584.0 344064.0 0.0 0.0 166.0 0.0 1.0 1.0 0.0 0.0 1481493000.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26112.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 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 -26112.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2486377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.033089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509822 0.0 5.859323 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 0.0 5296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25615.0 0.0 29016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34320.0 29016.0 311296.0 0.0 0.0 7632.0 894952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0