Input: 0.18505718 0.011667799 0.0024654665 0.0021314537 0.0022446783 0.0020323822 0.0022503396 0.003818501 0.0073284646 0.0024654665 0.005893342 0.005695199 0.0029495019 0.002468297 0.0017549819 0.0022361865 0.0020125678 0.0016870471 0.0016898777 0.0020550273 0.0017323369 0.0018144249 0.0017040308 0.0015823143 0.0018880208 0.0017719655 0.0015766531 0.001695539 0.0017295063 0.0016247736 0.005114923 0.014014379 0.0020012455 0.0016332654 0.005321558 0.0018229167 0.0018455615 0.0016615716 0.00174649 0.0017606431 0.0019134964 0.0016842164 0.0017549819 0.0016898777 0.0021569293 0.001828578 0.0017238451 0.0017379982 0.001820086 0.001769135 0.0017861186 0.001672894 0.0016785553 0.0016417572 0.0017436594 0.001672894 0.0016672328 0.0016247736 0.0017012001 0.0016304348 0.0017210145 0.0015313632 0.0016870471 0.0018625453 0.001820086 0.0016813859 0.0017974412 0.0016700634 0.0019559555 0.0017295063 0.010360055 0.0016898777 0.0019134964 0.0017521513 0.0016445878 0.0017181839 0.0018314085 0.0017323369 0.0017238451 0.001636096 0.0017889492 0.0018710372 0.0018115942 0.0016162817 0.0016587409 0.001599298 0.0014860734 0.001672894 0.0017436594 0.0016304348 0.001539855 0.0015625 0.0016672328 0.001820086 0.0017012001 0.001621943 0.0020069068 0.0017068614 0.0017408289 0.0017266758 0.001805933 0.0019559555 0.0047073145 0.0017125227 0.0021456068 0.002018229 0.0017578125 0.0017012001 0.0019644476 0.0017436594 0.0017210145 0.0017804574 0.0018087636 0.001621943 0.010501585 0.0017606431 0.0018115942 0.0017493207 0.0016644022 0.0016700634 0.0017889492 0.001672894 0.0018993433 0.0016304348 0.0016304348 0.0016304348 0.0016162817 0.0018568841 0.0022276947 0.0017153532 0.0016502491 0.0017125227 0.0018483922 0.012700974 0.0017181839 0.0015851449 0.0018738677 0.0017974412 0.0016757246 0.0022786458 0.0020550273 0.0017210145 0.0016785553 0.001672894 0.0017012001 0.0016474185 0.0015823143 0.001672894 0.0015738225 0.0015540081 0.0015596694 0.0016842164 0.012432065 0.0017832881 0.0015851449 0.0016389267 0.0016587409 0.0016813859 0.001636096 0.012650022 0.0016615716 0.0017493207 0.0017606431 0.0015964673 0.0019106658 0.0019446332 0.002040874 0.0018597146 0.001672894 0.0016191123 0.0017408289 0.0017861186 0.0017210145 0.001672894 0.001613451 0.0015030571 0.0017549819 0.001636096 0.0016445878 0.0016757246 0.0017323369 0.0015540081 0.0018342391 0.0016898777 0.105222486 0.0017719655 0.0016389267 0.0017776268 0.0016049593 0.0015681612 0.012601902 0.0016587409 0.0022588316 0.0017719655 0.0017549819 0.001621943 0.0016983695 0.0016757246 0.0018568841 0.0016502491 0.0016587409 0.0016530798 0.0017521513 0.0016813859 0.0016785553 0.0016247736 0.0017379982 0.0016389267 0.0017181839 0.0016842164 0.0016813859 0.0016502491 0.0015681612 0.0017606431 0.001599298 0.0017068614 0.0016615716 0.0016559103 0.0018682065 0.001613451 0.001967278 0.0016672328 0.0015058877 0.0015200408 0.001769135 0.0016445878 0.0015851449 0.0017266758 0.001769135 0.001636096 0.0015172102 0.0015823143 0.0018229167 0.0018965127 0.0015596694 0.0017012001 0.001548347 0.0016162817 0.0016304348 0.0016021286 0.0022786458 0.001989923 0.0020748414 0.0017181839 0.0018031023 0.0015030571 0.0017436594 0.001695539 0.001820086 0.0017521513 0.0014011549 0.001613451 0.0015738225 0.0016332654 0.0017266758 0.15774457 0.0058139535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002692644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8452489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.00019588027 0.0075328737 2.8388445e-06 5.535747e-05 2.8388445e-06 2.8388445e-06 4.258267e-06 7.0971114e-06 7.8068224e-05 3.4066135e-05 8.516534e-06 1.8452489e-05 5.677689e-06 1.1355378e-05 5.677689e-06 1.4194223e-05 0.00093681866 0.06394781 0.00044853744 0.000105037245 9.2262446e-05 3.5485555e-05 3.4066135e-05 0.00010929551 0.00014194222 0.0001788472 7.239053e-05 0.00017316951 4.400209e-05 0.00014761991 9.6520715e-05 7.3809955e-05 0.01860153 0.034548737 0.0008544922 0.00026259312 8.090707e-05 3.2646712e-05 2.8388446e-05 0.00026969024 0.00020581622 0.00014336164 4.6840934e-05 0.0001021984 3.5485555e-05 0.00013910337 3.122729e-05 3.4066135e-05 0.01260305 0.013515739 0.00086584757 0.00042014898 1.7033068e-05 5.677689e-06 0.0 0.00039034113 2.8388445e-06 8.516534e-06 4.258267e-06 5.9615733e-05 0.0 6.5293425e-05 4.258267e-06 1.7033068e-05 0.004972236 0.013305664 0.0010163063 0.00070545287 9.084302e-05 7.3809955e-05 1.8452489e-05 0.0005989962 0.00011923147 0.00042298783 0.00053086394 7.522938e-05 0.00013058685 3.9743823e-05 2.1291333e-05 3.83244e-05 0.008975007 0.018310547 0.0012831577 0.00055783294 0.00010929551 0.0002043968 4.542151e-05 0.0006302235 0.00013058685 0.0006032545 0.005532908 0.00022710756 0.0005720272 4.6840934e-05 6.671285e-05 0.00013626454 0.018055052 0.015304211 0.0014903933 0.0005862214 0.000100778976 0.00072390534 0.00014761991 0.0006444177 0.0007366801 0.0018154411 0.0035897188 0.00027962617 0.0016749182 0.00010361782 8.800418e-05 0.00010787609 0.016211221 0.015671842 0.0033739666 0.00058338256 0.00010361782 0.002336369 9.794014e-05 0.00062738464 0.0024186955 0.0031255677 0.0053881267 0.00025691543 0.0030971793 6.1035156e-05 0.000100778976 5.9615733e-05 0.02955805 0.01608915 0.0065761833 0.001078761 5.535747e-05 0.005156761 0.00025123774 0.0010617279 0.0052759927 0.0052972836 0.0060864827 0.0004854424 0.005095726 0.0001987191 0.00042582667 0.00035911382 0.042436466 0.0037103698 0.0012448333 0.000501056 0.00019588027 0.00093539926 0.000105037245 0.0005989962 0.0011369572 0.0009070108 0.00080765126 0.00014478106 0.00081474835 5.819631e-05 0.00013910337 0.00012348974 0.0060183504 0.0012263808 8.94236e-05 8.800418e-05 0.00011071494 0.000117812044 7.3809955e-05 0.0001589753 9.935955e-05 8.6584754e-05 0.00010361782 8.090707e-05 0.00036479151 7.522938e-05 7.239053e-05 7.3809955e-05 8.516533e-05 0.00090275257 0.00013058685 0.00016039472 8.3745916e-05 0.00022710756 0.00017742778 0.0001987191 0.00017316951 0.00033498366 5.677689e-06 1.1355378e-05 2.8388446e-05 0.000117812044 5.10992e-05 9.794014e-05 0.00020581622 0.026094658 0.02407482 0.024855502 0.023972623 0.024506325 0.023569506 0.024702204 0.0235837 0.024475098 0.023894554 0.023869004 0.11994118 0.02456878 0.02375971 0.023403434 0.023287041 0.0026585779 0.0023037223 0.0023250135 0.0021901685 0.002326433 0.002289528 0.002114939 0.0021901685 0.002545024 0.0020766146 0.002130553 0.009947311 0.0021490052 0.002016999 0.0021262944 0.0022142986 66.0 12.727273 840.0 0.058333334 0.0011904762 0.023809524 0.0 0.004761905 0.0011904762 0.030952381 0.017857144 0.0035714286 0.0 0.0 0.0 0.0011904762 0.007142857 0.014285714 0.016666668 0.010714286 0.00952381 0.0035714286 0.008333334 0.0 0.0 0.0 0.0 0.0023809525 0.0023809525 0.005952381 0.0 0.014285714 0.00952381 0.011904762 0.007142857 0.0035714286 0.00952381 0.0 0.0035714286 0.007142857 0.008333334 0.008333334 0.00952381 0.008333334 0.004761905 0.0 0.0023809525 0.005952381 0.004761905 0.0035714286 0.0023809525 0.008333334 0.0 0.004761905 0.005952381 0.004761905 0.007142857 0.00952381 0.005952381 0.0 0.0023809525 0.0011904762 0.0011904762 0.0 0.004761905 0.0011904762 0.0035714286 0.0011904762 0.035714287 0.026190476 0.027380953 0.020238096 0.09047619 0.007142857 0.004761905 0.007142857 0.030952381 0.0023809525 0.0023809525 0.036904763 0.022619048 0.028571429 0.042857144 0.005952381 0.004761905 0.046428572 0.052380953 0.03809524 0.020238096 0.010714286 0.0 0.00952381 0.007142857 0.0023809525 0.0011904762 0.0011904762 0.0011904762 0.0011904762 0.0011904762 5.5338 0.0 0.0 0.0 1.0 353280.0 372736.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1523287300.0 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 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -184832.0 0.0 166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1080956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.108591 0.0 3.0453978 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184682.0 0.0 166048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 192588.0 166048.0 200704.0 0.0 0.0 0.0 0.0 56.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 192512.0 0.0 0.0 0.0 0.0


Input: 0.011608506 0.003896827 0.0037816616 0.007003092 0.0038144519 0.0038644369 0.0037934582 0.003817451 0.003860238 0.0037994564 0.0038064544 0.0037652666 0.0038094535 0.003810453 0.0037966573 0.0038552396 0.0038510407 0.0037486716 0.0037602682 0.0037734641 0.0037712648 0.0038142519 0.0037764632 0.003761068 0.003840644 0.0037928584 0.003774264 0.0037918587 0.0037422737 0.0037788625 0.0037792625 0.0038044548 0.0037980569 0.004069975 0.0037666662 0.0037534703 0.0043500904 0.003751271 0.0037946578 0.003761068 0.003760668 0.0037950578 0.0037722646 0.0038018557 0.003803655 0.0038396444 0.0038092535 0.003723879 0.0037282777 0.003747272 0.0037698653 0.0038252487 0.0037604682 0.0038196503 0.0037434732 0.0037848607 0.0038080537 0.0038732341 0.0037768632 0.0037924584 0.0037222796 0.0037256787 0.0037552696 0.003807654 0.003923419 0.0038428432 0.0038580387 0.0037796623 0.0037490716 0.0038716346 0.0038068541 0.0037750637 0.003837245 0.003730477 0.0038052546 0.0037694655 0.0038060544 0.0038826314 0.0037686657 0.0038026555 0.0037954575 0.0037452728 0.003834046 0.0038594382 0.0037826614 0.0038182507 0.0038698353 0.0038582387 0.00375427 0.0037572691 0.0037328764 0.003780262 0.0037966573 0.0037786625 0.0038318466 0.003830447 0.00378746 0.0038132523 0.0037370753 0.003840644 0.0038596382 0.003916221 0.0038140519 0.0037886596 0.0038288475 0.0038050546 0.0038248487 0.0037808619 0.003800456 0.003783861 0.0037928584 0.0038298473 0.003827448 0.0038122525 0.0038678357 0.0037930582 0.0039132223 0.0038596382 0.0037682657 0.0037624675 0.0038320466 0.0037222796 0.0037930582 0.0037864603 0.003770465 0.0037986566 0.0037612678 0.0037250787 0.0038658364 0.0038194503 0.0037666662 0.0038120525 0.0037702653 0.0037786625 0.003760868 0.0037684657 0.0038018557 0.0038790323 0.003758069 0.0039432133 0.0037618678 0.0038346457 0.003767666 0.0037756634 0.0038126523 0.0038144519 0.0037226796 0.0037778628 0.003804055 0.0037724646 0.0037628673 0.0037264784 0.0037864603 0.0037562693 0.003791059 0.0037924584 0.0037882598 0.0037732644 0.003784261 0.0038158514 0.0037812619 0.0038094535 0.0037768632 0.0037964573 0.0037826614 0.0037716648 0.0037320766 0.0037588687 0.0038064544 0.0037884596 0.003827448 0.003747472 0.003767666 0.0037418737 0.0037284777 0.0038042548 0.0037354757 0.003780462 0.0038042548 0.0038044548 0.0038098532 0.0037418737 0.0037794623 0.0037800623 0.0037702653 0.0037382748 0.0037568691 0.0037348757 0.0037450728 0.0037976569 0.0037754637 0.0037298773 0.0038766332 0.0038312469 0.0037824614 0.0037998562 0.003790859 0.0037654666 0.0037524705 0.0037880598 0.0037878598 0.0038096532 0.0037598682 0.003750871 0.0037964573 0.003761068 0.00378706 0.003761068 0.0038390444 0.003793858 0.0037516707 0.0037858605 0.0037818616 0.0037984566 0.0037866603 0.0037892594 0.0037978569 0.0037798623 0.0038032553 0.0037446728 0.0069521074 0.0037820616 0.00378726 0.0037620675 0.0037950578 0.0037876598 0.0038112528 0.003770665 0.003780262 0.0038060544 0.0037516707 0.0037630673 0.0038922285 0.003807654 0.003761068 0.0038000562 0.0038434432 0.0037456725 0.0037250787 0.0037664664 0.0038200503 0.0037056846 0.0037534703 0.0038092535 0.003833846 0.0038070541 0.00378726 0.0038248487 0.003824249 0.0037632673 0.003770465 0.006924116 0.0038082537 0.0037990564 0.0037564693 0.0149493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003590862 0.0 1.9999231e-07 0.0 0.0 9.999616e-08 9.999616e-08 9.999616e-08 0.0 0.0 9.999616e-08 0.0 0.0 0.0 0.0 0.0010738588 0.0011856544 4.299835e-06 1.6999347e-06 7.899696e-06 9.999616e-07 6.999731e-07 1.0999578e-06 7.999693e-06 7.899696e-06 1.7999308e-06 5.9997694e-07 3.9998463e-07 6.399754e-06 2.3299106e-05 5.9997697e-06 0.0020199225 0.002556102 9.399639e-06 7.7997e-06 5.799777e-06 1.7999308e-06 3.099881e-06 6.199762e-06 5.399793e-06 9.299642e-06 5.9997697e-06 4.399831e-06 3.2998732e-06 7.699704e-06 0.0003879851 5.9997697e-06 0.0023043116 0.002478405 9.999616e-06 2.9798855e-05 4.0998425e-06 2.8998886e-06 4.7998155e-06 4.0998425e-06 5.8997734e-06 5.399793e-06 5.799777e-06 5.4997886e-06 2.8998886e-06 7.2997195e-06 0.0009500635 4.0998425e-06 0.0028274914 0.0027175955 4.2298376e-05 0.00084206765 3.9098497e-05 1.1099573e-05 1.1099573e-05 1.2299528e-05 1.689935e-05 2.3299106e-05 1.4399447e-05 3.2698743e-05 1.799931e-05 3.5598634e-05 0.0017650322 1.589939e-05 0.00546139 0.00036078616 9.099651e-06 5.4197917e-05 6.899735e-06 1.5199416e-05 1.119957e-05 2.0999194e-05 1.1299566e-05 5.399793e-06 3.9998463e-06 3.9998463e-06 2.7998924e-06 6.899735e-06 0.000116595525 5.1998004e-06 0.00038938504 0.0001954925 2.1999156e-06 1.3699474e-05 6.4997503e-06 5.7497793e-05 3.959848e-05 0.00019199263 9.309642e-05 9.999616e-07 3.099881e-06 1.2999501e-06 1.1999539e-06 2.6998964e-06 1.2999501e-06 1.4999424e-06 2.1999156e-06 0.00025709014 7.1997233e-06 5.9997697e-06 5.8997734e-06 3.3298722e-05 2.7398948e-05 0.00011159571 9.789624e-05 2.3399101e-05 5.099804e-06 4.5998236e-06 4.8998118e-06 8.59967e-06 5.699781e-06 5.599785e-06 1.0099612e-05 0.00024589055 1.29995005e-05 2.2599132e-05 1.9199262e-05 2.2599132e-05 1.7499327e-05 4.7198188e-05 3.7098576e-05 1.8899274e-05 6.399754e-06 7.0997276e-06 7.899696e-06 1.3199493e-05 1.7099343e-05 1.0199608e-05 0.000108495835 0.00018299297 1.2799508e-05 2.4099074e-05 2.889889e-05 3.099881e-05 1.5499405e-05 5.9297723e-05 5.0198072e-05 3.2998734e-05 1.3499482e-05 1.1899543e-05 1.3599478e-05 2.0199224e-05 2.2099151e-05 1.719934e-05 7.8097e-05 0.00032488751 5.46979e-05 2.1199186e-05 4.2398373e-05 0.0001066959 7.879698e-05 5.5697863e-05 8.009692e-05 0.0001274951 1.6499367e-05 1.5699397e-05 1.9899237e-05 4.9898084e-05 2.4699051e-05 8.199685e-05 0.00012809508 0.00076377066 0.00017339335 0.00010289605 0.00012469522 0.00029098883 0.00024099075 0.00013739473 0.00025399023 0.00030678822 6.969732e-05 4.2498366e-05 5.029807e-05 0.00014399448 7.049729e-05 0.00015279413 0.00035198647 0.060382582 0.06022399 0.06022839 0.06015389 0.06043958 0.06038058 0.060355783 0.060136892 0.060308784 0.06034148 0.060298186 0.06016259 0.060304884 0.06035628 0.060305484 0.06019159 22391.0 5.704122 127721.0 0.01010014 0.010170606 0.0105229365 0.010319368 0.010295879 0.010327198 0.009779128 0.010076651 0.010342857 0.010021845 0.010428982 0.010264561 0.010021845 0.0105229365 0.010428982 0.009873083 0.010530766 0.009802616 0.010186265 0.0101157995 0.010162776 0.010264561 0.009786958 0.010162776 0.010679528 0.010609062 0.0103506865 0.01010797 0.010444641 0.010076651 0.010319368 0.010084481 0.009771299 0.01064038 0.010092311 0.01028022 0.01027239 0.010452471 0.010726506 0.010945734 0.010491619 0.010389834 0.009833935 0.009873083 0.010499448 0.010687358 0.010068822 0.010194095 0.010084481 0.009888742 0.010969222 0.0107578235 0.010499448 0.010178436 0.0104603 0.011235427 0.01010797 0.010616891 0.010264561 0.010327198 0.00974781 0.0101157995 0.0104368115 0.010241073 0.010037503 0.011274575 0.010765653 0.010554255 0.0112902345 0.013396387 0.0098809125 0.010452471 0.0102880495 0.011603417 0.009528582 0.0100296745 0.011321552 0.010695187 0.011298064 0.011501633 0.010734335 0.010131459 0.011329382 0.011658223 0.011940088 0.010515107 0.010060992 0.01046813 0.010389834 0.010014015 0.009849594 0.009708662 0.0101157995 0.010413323 0.010092311 0.010327198 6.5829935 0.0 0.0 0.0 73.0 5001505.0 524288.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1438735600.0 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 24064.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 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 -24064.0 0.0 150016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.15306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7505343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.487572 0.0 3.017816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23960.0 0.0 149792.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 180.0 29844.0 149792.0 372736.0 0.0 0.0 7800.0 14674336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 696.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.5498748 0.0014253223 0.0010203336 0.00084609917 0.00065486634 0.00039011505 0.00088562066 0.0008426995 0.0005078295 0.00034889375 0.0009128182 0.00037736617 0.00027070075 0.0002422283 0.0002732505 0.0006688901 0.00028939906 0.00033104533 0.00034209434 0.0003514435 0.0003267957 0.0002520024 0.00028897412 0.00024052845 0.00028429952 0.00022395494 0.00020653149 0.00018868309 0.00022480485 0.00020058203 0.00020823134 0.0006395677 0.00059069705 0.00020525661 0.00021970531 0.00015341125 0.000502305 0.0001963324 0.00020908126 0.00019718234 0.00043771078 0.00018060881 0.0007424085 0.0011639707 0.0012442885 0.04533494 0.0009064438 0.00047850714 0.00072625995 0.0022952193 0.003639374 0.04482966 0.04431758 0.0026526123 0.042927105 0.00086437253 0.00067951414 0.00025157747 0.00031489678 0.00014448706 0.0002354289 0.00023500394 0.00016063561 0.0012128414 0.0003068225 0.00024732784 0.0002532773 0.00027410043 0.00032084624 0.00020440668 0.00018698325 0.00019165783 0.00029067395 0.0002532773 0.00013428797 0.00018698325 0.00022735463 0.00019930715 0.00020355676 0.00016913484 0.0002243799 0.00018103379 0.00019378263 0.00027027578 0.00023840363 0.00054862583 0.0001852834 0.00017210958 0.00016573515 0.00015893576 0.00013471293 0.00013513789 0.0001640353 0.00015468615 0.00017465935 0.0003582429 0.0002520024 0.00059452176 0.00029322374 0.00036546725 0.0003059726 0.0009791122 0.00028854914 0.00038246572 0.00029279877 0.0006187446 0.0001495866 0.00020610653 0.0004916809 0.00036334243 0.0005086794 0.0011189247 0.00035994276 0.00025072752 0.00070713664 0.000702887 0.0009621138 0.00051292905 0.0011754447 0.0012434386 0.04529669 0.00058007304 0.00026857594 0.0002745254 0.00018060881 0.0001708347 0.00022395494 0.00090346904 0.000747508 0.00019463256 0.00016743499 0.00018485844 0.00016233546 0.0001495866 0.0001695598 0.00017550927 0.00023075432 0.00018315858 0.00016318538 0.00017210958 0.00015213637 0.00015043652 0.00015213637 0.0001763592 0.00013641278 0.00014321216 0.0001427872 0.00014831171 0.0001653102 0.00014533698 0.00019888218 0.00017040974 0.00015766088 0.0001461869 0.00014108735 0.00016701003 0.00020908126 0.00015468615 0.00013896255 0.00016148553 0.00019165783 0.0001551111 0.00019123286 0.00015001156 0.00019250775 0.00013556285 0.00014236225 0.00013811262 0.00016828493 0.00012706361 0.0002609266 0.00021248097 0.00015341125 0.00016063561 0.0001963324 0.00012451384 0.00014873667 0.00019378263 0.00021333089 0.00015808584 0.0001304633 0.0001317382 0.00022522981 0.00016828493 0.00026390134 0.00022735463 0.00024902768 0.0012115665 0.0011376231 0.045087185 0.00032169616 0.0005681741 0.0005868724 0.00019123286 0.00018358356 0.00018443348 0.00021120608 0.00017720912 0.00021460577 0.00017805904 0.0001763592 0.0001517114 0.00015766088 0.0001551111 0.00019038294 0.00014193729 0.00018655829 0.0001495866 0.00019463256 0.0001517114 0.00014746179 0.00015596102 0.00014703683 0.0001262137 0.00012918843 0.00016276042 0.00015766088 0.00015468615 0.00015213637 0.00016276042 0.00019378263 0.00018358356 0.00019250775 0.00016658507 0.0006149199 0.00019803226 0.00016361034 0.00019123286 0.00023032936 0.00016488522 0.00015723592 0.00019335767 0.00016318538 0.00017550927 0.0001585108 0.00018400852 0.00018825813 0.00019930715 0.00014788675 0.00017508431 0.000535877 0.00019930715 0.00016318538 0.00019378263 0.00017678416 0.00017805904 0.00019803226 0.00018018385 0.00054820086 0.00024137837 0.00019845722 0.00021630562 0.0005792231 0.0002477528 0.000591122 0.09691214 0.08304118 5.952057e-06 1.2754408e-05 4.2514694e-05 2.763455e-06 2.5508816e-06 2.9760286e-06 3.188602e-06 6.377204e-07 6.377204e-07 6.377204e-07 2.1257347e-06 6.377204e-07 2.1257347e-07 4.2514694e-07 3.2736312e-05 0.010282604 1.4880143e-05 3.252374e-05 0.0003596743 8.928086e-06 3.4011755e-06 7.227498e-06 1.8281318e-05 6.377204e-06 5.952057e-06 3.613749e-06 1.530529e-05 3.8263224e-06 3.8263224e-06 5.1017632e-06 0.00011223879 0.035966154 6.504748e-05 0.00013030754 0.003456232 1.2329261e-05 1.530529e-05 9.353233e-06 8.864314e-05 1.9556759e-05 1.04161e-05 1.4667569e-05 8.6304826e-05 2.0619626e-05 1.1904114e-05 2.699683e-05 0.0014244547 0.05314039 6.7810935e-05 0.00026720486 0.0077912426 2.4445948e-05 4.2089545e-05 4.782903e-05 0.00022596559 4.782903e-05 3.1035725e-05 2.274536e-05 0.00019896876 2.8909992e-05 2.635911e-05 3.741293e-05 0.0037376792 0.06430645 0.00011478967 0.0007505969 0.021063905 7.6313874e-05 6.56852e-05 4.7616457e-05 0.00071552227 5.7819983e-05 3.8263224e-05 6.504748e-05 0.0006674807 8.587968e-05 7.0149246e-05 8.949343e-05 0.00886814 0.057642695 0.00020619626 0.0013421889 0.017422946 6.951152e-05 9.8421515e-05 5.3143365e-05 0.0014350835 0.00022235184 6.015829e-05 5.5694247e-05 0.0012809677 0.0001947173 6.759836e-05 0.00021512435 0.011056797 0.051738255 0.00032566255 0.001955676 0.01937182 0.00013328357 0.00011925372 0.00017175935 0.0019998911 0.00029824057 8.502939e-05 9.69335e-05 0.0017192942 0.00027910896 9.820894e-05 0.00030483035 0.010549596 0.05606923 0.00017452282 0.005042243 0.02609063 0.00032396195 0.00030206688 0.0012677881 0.0055566705 0.00013009497 8.3966515e-05 0.00010054725 0.0048847254 0.0001594301 0.00010033468 0.00018600178 0.013154259 0.04628022 0.0006606783 0.005834079 0.014308107 0.00040644046 0.0004253595 0.0017031386 0.0060889544 0.00026975572 0.00023489368 0.00028421072 0.0051421523 0.00024892352 0.00017282223 0.00018323833 0.008745273 0.06301719 0.00055651733 0.015340365 0.018889703 0.00030249203 0.00032396195 0.0007440071 0.0153567325 0.00022809133 0.00017112165 0.00017749885 0.014835077 0.00023999544 0.00019578016 0.0002627408 0.019119283 0.032596864 0.00041217994 0.01915861 0.01372098 0.00017431025 0.00022447758 0.00047212566 0.019195171 0.00021852553 0.00010628673 0.00021299861 0.019019373 0.00017834913 0.0001675079 0.00023489368 0.021900382 0.0018117636 0.0001498643 0.0009857032 0.0010624422 5.9095422e-05 7.8227036e-05 0.0001713342 0.00096487097 5.1017632e-05 4.9317045e-05 5.1867926e-05 0.0009144911 3.868837e-05 6.0370865e-05 5.654454e-05 0.00089535944 0.00017643598 1.0628673e-05 2.4020801e-05 2.2532788e-05 1.721845e-05 1.7643597e-05 4.8679325e-05 2.9972858e-05 1.1478967e-05 1.1904114e-05 1.1478967e-05 1.105382e-05 1.1266394e-05 9.7783795e-06 8.290365e-06 1.2966982e-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 0.00011266394 1.8706465e-05 2.9972858e-05 2.2532788e-05 2.146992e-05 1.6793303e-05 6.228402e-05 3.5712343e-05 1.4029849e-05 1.1691541e-05 1.5517862e-05 1.721845e-05 1.2966982e-05 1.4029849e-05 1.6368156e-05 1.33921285e-05 0.0032968018 0.0018068744 0.0018485389 0.001914224 0.0020132833 0.0017237582 0.002371257 0.0020957617 0.0017550065 0.0016270373 0.001586861 0.001662112 0.0017339617 0.0015802712 0.0016786926 0.0017800902 4090.0 10.713937 43820.0 0.0071200365 0.0017343679 0.0016887266 0.0011866727 0.002396166 0.0011638522 0.001232314 0.001232314 0.0014148791 0.0013920584 0.0039023277 0.0018941123 0.0059790052 0.0026015518 0.013966225 0.0039251484 0.011524418 0.03441351 0.07199909 0.10502054 0.11081698 0.06088544 0.081629395 0.022546783 0.007074395 0.0024189868 0.002464628 0.0008443633 0.0023505248 0.0051346417 0.0011182108 0.0059105433 0.004929256 0.0036513007 0.0042218165 0.0052031036 0.006344135 0.0016887266 0.0021223186 0.0015974441 0.0068233684 0.0045869467 0.0012779552 0.0027612962 0.00326335 0.0031264264 0.0015518029 0.0013692378 0.0047010495 0.0019397535 0.0027612962 0.007987221 0.0061843907 0.004564126 0.0029438613 0.002213601 0.0011866727 0.0015518029 0.0011182108 0.0014148791 0.0015518029 0.0010269283 0.0015746235 0.012003651 0.001848471 0.017663168 0.008124144 0.009287996 0.0072569605 0.038795073 0.0063897762 0.010132359 0.0034687358 0.020584209 0.0018712917 0.0039936104 0.015175719 0.009173893 0.016773162 0.017640347 0.005043359 0.0015974441 0.019374715 0.017275216 0.03557736 0.0130534 0.003514377 0.005636696 0.004016431 0.008306709 0.0016887266 0.0013692378 0.0013007759 0.0011866727 0.0014148791 0.0032405294 5.262117 1.0 0.0 0.0 3.0 2353152.0 2375680.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 4169401000.0 0.0 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 1979904.0 512.0 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 -1979904.0 0.0 372224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.941928 0.0 2.84519 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 -1979900.0 0.0 372040.0 0.0 0.0 0.0 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 1988004.0 372040.0 1990656.0 0.0 0.0 0.0 0.0 12.0 2367488.0 56.0 1987796.0 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: 0.30624008 0.028972626 0.025642395 0.006248474 0.017463684 0.003452301 0.01166153 0.005645752 0.0057258606 0.0031051636 0.023548126 0.0031814575 0.0031013489 0.0020332336 0.0012779236 0.0011291504 0.0015449524 0.0039253235 0.002811432 0.0019302368 0.0029335022 0.0012588501 0.003856659 0.0031547546 0.0017700195 0.0018577576 0.0022239685 0.0020370483 0.0010757446 0.0011634827 0.0013656616 0.005252838 0.011909485 0.0018005371 0.0014762878 0.0014533997 0.0017051697 0.001411438 0.0017127991 0.0008430481 0.007129669 0.00074768066 0.0024871826 0.0010375977 0.006122589 0.000957489 0.01366806 0.0010948181 0.00730896 0.003047943 0.0027389526 0.0027618408 0.0020942688 0.0035514832 0.002357483 0.003211975 0.0022697449 0.0031471252 0.0011329651 0.00060653687 0.0011558533 0.004928589 0.00078582764 0.00064468384 0.0016021729 0.003276825 0.0019836426 0.004951477 0.004611969 0.0011558533 0.001739502 0.002128601 0.0008125305 0.0036315918 0.00033569336 0.002243042 0.002040863 0.0031814575 0.0017089844 0.0011558533 0.0043296814 0.0014801025 0.0014228821 0.0064849854 0.0034561157 0.0008659363 0.0018119812 0.00065231323 0.0008354187 0.00063705444 0.0004272461 0.00062179565 0.0006752014 0.00034332275 0.00046920776 0.005847931 0.00038909912 0.0153160095 0.00951767 0.008171082 0.007659912 0.036281586 0.0040283203 0.0043296814 0.0024528503 0.017368317 0.00049972534 0.0028190613 0.013027191 0.0115737915 0.015171051 0.03199768 0.008354187 0.0006866455 0.023097992 0.017925262 0.024650574 0.013530731 0.0023994446 0.001373291 0.0021972656 0.0074043274 0.0013427734 0.013118744 0.00031280518 0.001964569 0.0012054443 0.00047302246 0.0011634827 0.0017547607 0.00036621094 0.000415802 0.00038909912 0.00046539307 0.001159668 0.00035858154 0.00030899048 0.00046157837 0.00019836426 0.00033950806 0.00048828125 0.00044250488 0.00019073486 0.0004234314 0.00032043457 0.00037384033 0.00017547607 0.00030136108 0.00030899048 0.0004005432 0.00020599365 0.00044631958 0.00034713745 0.00049209595 0.0005912781 0.0002746582 0.00035476685 0.000415802 0.0004043579 0.00035095215 0.00036621094 0.00045776367 0.00077056885 0.00030136108 0.00035476685 0.00038528442 0.00033187866 0.00031280518 0.0004386902 0.00038146973 0.0002975464 0.00031280518 0.0004119873 0.00031280518 0.0002632141 0.0001335144 0.00051116943 0.00025177002 0.00039672852 0.00022125244 0.00031280518 0.00032424927 0.00030136108 0.00035476685 0.0002822876 0.0002822876 0.00036239624 0.0002593994 0.00032043457 0.00023651123 0.00036621094 0.00018310547 0.00050354004 0.00020599365 0.00030517578 0.00019836426 0.0004043579 0.00019073486 0.00020217896 0.00023269653 0.00019073486 0.0002746582 0.00048828125 0.00025558472 0.0004310608 0.00024032593 0.0002784729 0.00012207031 0.00033950806 0.00030899048 0.0001335144 0.00016021729 0.00016403198 0.00019454956 0.00020980835 0.00016784668 0.00017547607 0.00021362305 0.00018310547 0.00032043457 0.0006599426 0.00024032593 0.0011062622 0.00016021729 0.00021743774 0.0002670288 0.00045776367 0.00024795532 0.00017547607 0.00018692017 0.00016784668 0.00024795532 0.0002593994 0.0005226135 0.00020599365 0.00045013428 0.0001335144 0.00020217896 0.00015640259 0.00031661987 0.00016784668 0.00021362305 0.0001335144 8.773804e-05 0.00018692017 9.536743e-05 0.00012588501 8.392334e-05 0.00021362305 0.00019454956 0.00012207031 0.0002937317 0.0001411438 0.0001335144 0.0007095337 0.00667572 0.023517923 0.0 0.0 3.829657e-06 3.829657e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.829657e-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 0.0036803002 2.6807598e-05 4.5955883e-05 1.9148285e-06 3.4466913e-05 9.5741425e-06 5.170037e-05 2.8722427e-05 5.7444854e-06 1.9148285e-06 0.0 7.659314e-06 5.7444854e-06 3.829657e-06 1.1488971e-05 5.7444854e-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 0.0065333946 0.0001819087 0.000134038 6.510417e-05 8.616728e-05 5.7444853e-05 0.00034658395 0.00029296876 2.2977942e-05 1.5318628e-05 2.6807598e-05 3.4466913e-05 1.3403799e-05 9.5741425e-06 1.3403799e-05 9.5741425e-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 0.0054074754 4.02114e-05 0.00080422795 0.00012829351 0.00011297488 3.4466913e-05 0.00037339155 0.00026616117 5.170037e-05 1.3403799e-05 3.2552085e-05 4.02114e-05 6.510417e-05 1.9148285e-05 0.00031211704 0.00014169731 0.035908777 0.0022614123 0.0046472885 0.0010761336 0.0039196536 0.0027765012 0.021907551 0.01210746 0.0005859375 0.00044615503 0.00010340074 4.4041055e-05 2.489277e-05 0.00043275123 9.5741425e-06 2.2977942e-05 0.15195504 0.015519684 0.01590648 0.005133655 0.009173943 0.006518076 0.038859528 0.03101639 0.0015203737 0.001863128 0.0022039674 0.0018822764 0.0018612132 0.0011469822 0.0005112592 0.0012025123 0.10463005 0.010426241 0.011697687 0.0065563726 0.008498008 0.006855086 0.041814107 0.02895029 0.0022805606 0.0011086856 0.0015529259 0.0011737898 0.0009918811 0.0014725031 0.0014973958 0.0018669578 0.091344975 0.007477405 0.016503906 0.02220435 0.011735983 0.010952818 0.061883423 0.038549326 0.002688419 0.0013997395 0.0011795344 0.0009248621 0.0008291207 0.0007467831 0.00091911765 0.0051700366 0.018037684 0.0018535539 0.0045706956 0.0049651503 0.0023073682 0.0024050246 0.012387025 0.0070465687 0.0013078278 0.0006146599 0.00042126226 0.0005170037 0.00043658089 0.0005438113 0.0005993413 0.0008099724 0.0048598344 0.00042126226 0.0011182599 0.0013403799 0.0006050858 0.0006395527 0.002655867 0.0016314338 0.00043466606 0.00026616117 0.00027190565 0.00029105393 0.0002546722 0.00031211704 0.0002891391 0.0002948836 0.0006318934 7.659314e-05 0.00030062807 0.0004308364 0.00019148285 0.0002221201 0.0009803922 0.0005897672 5.7444853e-05 5.5530025e-05 6.318934e-05 6.318934e-05 5.3615197e-05 6.510417e-05 5.3615197e-05 8.616728e-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 2920.0 24.23322 70761.0 0.018809797 0.00019784909 0.0003250378 0.0002543774 1.4132079e-05 0.00038156612 2.8264158e-05 0.00021198117 0.0 1.4132079e-05 8.479247e-05 4.2396234e-05 0.016138833 0.00036743403 0.031090572 0.00011305663 0.02115572 0.006090926 0.0059072087 0.006444228 0.0047766427 0.010245757 0.004522265 0.009623946 0.004550529 0.008988002 9.8924545e-05 1.4132079e-05 0.00016958494 0.015432229 0.00018371701 5.6528315e-05 2.8264158e-05 0.0068116616 0.0029112082 0.0144995125 0.01148938 0.0013425475 0.0030242647 0.0040276423 0.00094684924 0.010316418 0.00024024534 0.0062605105 0.0021198117 0.0055256425 0.0025013778 0.0020632835 0.008874945 0.0018936985 0.0034482272 0.019897966 0.008041153 0.0011446984 0.00537019 0.00036743403 0.00016958494 8.479247e-05 9.8924545e-05 5.6528315e-05 9.8924545e-05 0.0 5.6528315e-05 0.016704116 4.2396234e-05 0.041986406 0.026737893 0.021989513 0.014598437 0.11011715 0.006331171 0.010019643 0.004126567 0.04192988 0.00043809443 0.0064300955 0.037760913 0.03398765 0.042269047 0.043357216 0.007687851 0.0003109057 0.054295447 0.03822727 0.068752564 0.041590706 0.007518266 0.003052529 0.0024731138 0.023840817 0.0032927743 0.0 2.8264158e-05 1.4132079e-05 1.4132079e-05 2.8264158e-05 5.2017937 1.0 0.0 0.0 1.0 262144.0 278528.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1462181000.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 249856.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249856.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5354905 0.0 4.1059484 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 -248900.0 0.0 2880.0 0.0 0.0 0.0 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 257004.0 2880.0 262144.0 0.0 0.0 0.0 0.0 12.0 270336.0 28.0 256892.0 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: 0.18595208 0.0038008946 0.0031525544 0.0030796162 0.0030147822 0.0031525544 0.0034524119 0.0027635503 0.0032173884 0.0031768673 0.0029256353 0.0030147822 0.0030958247 0.003168763 0.0031120332 0.0030553034 0.003841416 0.003363265 0.0034037863 0.0030228863 0.0030796162 0.0030877204 0.0031120332 0.0033875778 0.0032741183 0.0029013227 0.0033794735 0.0032903268 0.003330848 0.0030553034 0.003136346 0.0032903268 0.0031606588 0.0030877204 0.0031768673 0.0031282417 0.0030634077 0.0031039289 0.0031525544 0.003330848 0.003298431 0.0031606588 0.003557767 0.0032741183 0.0031282417 0.0032822224 0.0033146394 0.0031039289 0.0030390949 0.0032741183 0.0033713693 0.0032417013 0.0033065353 0.0029499482 0.0030715119 0.003549663 0.003655018 0.0029742608 0.0032417013 0.0028932183 0.0032417013 0.0032903268 0.0032822224 0.00320118 0.0029985737 0.0032417013 0.0031201374 0.0030634077 0.0032903268 0.003679331 0.0031768673 0.0034037863 0.0032254928 0.0032417013 0.0029661567 0.0031606588 0.0032417013 0.0033146394 0.0032254928 0.0031120332 0.0032254928 0.003298431 0.0029904693 0.0030634077 0.0030634077 0.003492933 0.0030471992 0.0033227438 0.0031930758 0.0031606588 0.0031282417 0.0033146394 0.0032741183 0.00320118 0.0034443075 0.0031120332 0.0033875778 0.00320118 0.0030958247 0.0034362033 0.0030634077 0.003492933 0.0031444503 0.0032254928 0.0029661567 0.0034118905 0.003233597 0.0032254928 0.0032498054 0.0032092843 0.0030796162 0.0034118905 0.0032903268 0.0030553034 0.0032903268 0.0031768673 0.0034199948 0.0033470565 0.0033794735 0.003395682 0.0032822224 0.0031444503 0.0032579098 0.0033227438 0.0032092843 0.0029499482 0.0029742608 0.0032173884 0.0030634077 0.0034848289 0.0031930758 0.0036307054 0.0029094268 0.0033146394 0.0031282417 0.0029175312 0.0033713693 0.0031930758 0.0032903268 0.003428099 0.0032903268 0.003233597 0.0032822224 0.0029985737 0.0033713693 0.0031444503 0.0033146394 0.0029904693 0.0034037863 0.0032417013 0.0029742608 0.0029580523 0.0031120332 0.0029661567 0.0032741183 0.0032822224 0.0030553034 0.0030309907 0.0032092843 0.0030715119 0.0032822224 0.0028770098 0.0029256353 0.0030634077 0.0032254928 0.0027068206 0.0030634077 0.0028689057 0.0029823652 0.0030471992 0.0028283843 0.0030715119 0.003492933 0.0033875778 0.0030390949 0.003168763 0.0032822224 0.0032173884 0.0029175312 0.0031606588 0.0032498054 0.003330848 0.0032741183 0.0028121758 0.0031282417 0.0031201374 0.003266014 0.0030958247 0.003136346 0.0031606588 0.0034199948 0.003233597 0.0030471992 0.0032822224 0.0030147822 0.0031444503 0.0031525544 0.003330848 0.0031930758 0.0032092843 0.0031039289 0.0029742608 0.0031606588 0.0032822224 0.0032741183 0.0031282417 0.0031120332 0.0032417013 0.003266014 0.003266014 0.0030390949 0.0032741183 0.0029985737 0.0029418438 0.0031606588 0.0031606588 0.0030390949 0.0031039289 0.0030958247 0.0030796162 0.0031930758 0.0031444503 0.003428099 0.00320118 0.003233597 0.0029742608 0.00358208 0.0029499482 0.0029904693 0.0033551608 0.0031444503 0.003168763 0.0032903268 0.0030715119 0.0030634077 0.0034686204 0.0032741183 0.0031201374 0.0030958247 0.0030634077 0.0031768673 0.0031039289 0.0029904693 0.0028608013 0.0033389523 0.0030553034 0.0034524119 0.0033794735 0.0033875778 0.0029904693 0.0031444503 0.003136346 0.0034118905 0.0031768673 0.0030715119 0.0041250647 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008185891 1.6412816e-05 1.6412816e-05 1.6412816e-05 1.23096115e-05 8.206408e-06 1.23096115e-05 1.6412816e-05 1.6412816e-05 1.6412816e-05 2.4619223e-05 1.6412816e-05 1.23096115e-05 8.206408e-06 1.23096115e-05 1.23096115e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059701614 0.00015592175 3.6928835e-05 5.334165e-05 0.0002174698 0.00018054097 6.5651264e-05 4.9238446e-05 0.00059496454 3.6928835e-05 5.334165e-05 6.154806e-05 0.0001107865 8.206408e-06 0.00016412816 0.000644203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0079725245 0.00074267987 0.0003118435 0.00042263 0.0006154806 0.0005457261 0.00070985424 0.0005990678 0.0011406906 0.0004144236 0.0003036371 0.00037749475 0.00041032038 0.0003036371 0.0005334165 0.0014032957 0.0039719013 0.00029543068 0.00034056592 0.0003036371 0.00025029544 0.0003036371 0.00036108194 0.00036518514 0.000221573 0.00034877233 0.00024208902 0.00022567621 0.00027901787 0.00033235952 0.00026670826 0.00029543068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049382057 0.05107668 0.051162846 0.051109508 0.05082228 0.050760735 0.05081818 0.051080786 0.05017808 0.05012474 0.048992254 0.050658155 0.050362725 0.05029707 0.05034631 0.049550287 510.0 5.8039217 2960.0 0.0114864865 0.009121622 0.009121622 0.0074324324 0.010472973 0.010472973 0.00777027 0.006081081 0.012837837 0.009459459 0.010472973 0.009797297 0.0070945946 0.009459459 0.009459459 0.011148648 0.006081081 0.0125 0.010472973 0.011148648 0.013851351 0.008108108 0.00777027 0.008108108 0.012837837 0.008108108 0.0114864865 0.009797297 0.009121622 0.011824325 0.008783784 0.009797297 0.008783784 0.012162162 0.010810811 0.011148648 0.0054054055 0.013513514 0.009459459 0.012162162 0.010135135 0.009121622 0.009797297 0.012837837 0.0125 0.010135135 0.010810811 0.009121622 0.012162162 0.010810811 0.010135135 0.0114864865 0.008783784 0.009797297 0.009121622 0.014527027 0.0070945946 0.011148648 0.0070945946 0.0074324324 0.0125 0.010135135 0.010135135 0.010472973 0.010810811 0.010135135 0.012837837 0.013851351 0.014527027 0.015202703 0.010810811 0.008783784 0.008445946 0.016554054 0.009797297 0.006756757 0.014527027 0.011148648 0.011148648 0.013513514 0.011148648 0.009121622 0.015202703 0.010472973 0.014189189 0.0125 0.008445946 0.010810811 0.013851351 0.008783784 0.008108108 0.00777027 0.009797297 0.0070945946 0.00777027 0.013851351 6.550209 0.0 0.0 0.0 2.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.247167 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.7236989 0.0032728207 0.0015859568 0.0020505106 0.0024941217 0.0010833247 0.001117595 0.0010642855 0.0022504213 0.0011023637 0.0011690005 0.0007291974 0.0016716328 0.0009253001 0.0006968309 0.0014298361 0.00202576 0.00087579846 0.00058259635 0.00075585215 0.0011690005 0.0011233067 0.0006282902 0.00058259635 0.0013612955 0.00069873483 0.0009233962 0.00067969575 0.0009214923 0.0005997316 0.0009919369 0.00077679515 0.0030729102 0.0006720801 0.00083010463 0.0008453359 0.0018677354 0.0008472398 0.00079964206 0.00065875275 0.00074252475 0.00048549697 0.00050644 0.00069302315 0.00070254266 0.00070254266 0.0010357269 0.00061686675 0.0011004598 0.0008700867 0.0009100688 0.0016107076 0.0010585738 0.0017953868 0.0007615639 0.0007501404 0.000843432 0.0008777024 0.00079583423 0.0013384485 0.0009995525 0.0010871324 0.0007920264 0.0010985559 0.001370815 0.0011309223 0.00093481963 0.0035641189 0.001347968 0.001644978 0.00093862746 0.0010395347 0.0011861357 0.0008777024 0.0006225785 0.00059401983 0.0008567594 0.0010604777 0.00079773815 0.00072158175 0.002170457 0.0011061715 0.0015573981 0.0013974697 0.001264196 0.0011728083 0.0021628414 0.0012394452 0.0010680933 0.0016583053 0.00057498075 0.0014793378 0.0007901225 0.0014393557 0.0009310118 0.0010166877 0.0008815102 0.0020086246 0.00065875275 0.0013003703 0.001328929 0.0029567718 0.0009767057 0.00090626103 0.0014736261 0.0021190515 0.0013841423 0.00074442866 0.0015307434 0.00093672355 0.0016259389 0.0017820594 0.0011061715 0.00059782766 0.0024103497 0.0018144259 0.003329938 0.0036364675 0.0010223995 0.0016392663 0.0011537693 0.00087579846 0.0006225785 0.00083391246 0.001224214 0.0009119727 0.00069492706 0.00083010463 0.0016183233 0.000843432 0.00057688466 0.0024122535 0.0011004598 0.0016088036 0.00051786343 0.00050072826 0.0010395347 0.0020143364 0.0010699972 0.0052338475 0.001052862 0.0016640171 0.0004950165 0.0006549449 0.0007311013 0.0005369025 0.0004893048 0.0006454254 0.0008034499 0.0006758879 0.00074252475 0.0005102478 0.0005369025 0.00057307683 0.0015973803 0.0005711729 0.0008053538 0.0005330947 0.0004950165 0.00061686675 0.0007044466 0.0008148733 0.0004950165 0.00072348566 0.0008815102 0.00073300523 0.0007863147 0.0005559416 0.0007920264 0.0004340914 0.00046645786 0.00051976735 0.00077679515 0.0004950165 0.00047597743 0.0005026322 0.0006416176 0.0005102478 0.00057688466 0.0005997316 0.0005787885 0.0005464221 0.00056165335 0.00095766655 0.00071587006 0.000527383 0.0008872219 0.000673984 0.0007939303 0.0005235752 0.0005311908 0.0008986454 0.0017953868 0.0010852285 0.00068159966 0.001370815 0.001075709 0.00057498075 0.0008453359 0.0009633783 0.0008586633 0.0014279323 0.00046645786 0.0005349986 0.0016525936 0.0009919369 0.00051786343 0.0004893048 0.0010623815 0.0015992841 0.000611155 0.0006968309 0.0006435215 0.0005254791 0.000864375 0.00056355726 0.00085104763 0.00058259635 0.0004721696 0.0006073472 0.000653041 0.0005445182 0.0005673651 0.0005559416 0.0010566699 0.00060544326 0.00057307683 0.0012984663 0.001033823 0.0009805135 0.0005711729 0.00060163543 0.0027587651 0.0008834141 0.00053880643 0.0011271145 0.0016126115 0.00057688466 0.00055213383 0.00060544326 0.001094748 0.0005711729 0.0004721696 0.00083010463 0.0014888573 0.0005445182 0.0016583053 0.0007482365 0.0013365446 0.0012813312 0.00058069243 0.000632098 0.0013593915 0.0006873114 0.001264196 0.011549116 0.6164383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018766817 9.555406e-06 9.555406e-06 1.9110812e-06 1.0510947e-05 9.555406e-07 1.4333109e-05 1.1466487e-05 1.9110812e-06 1.9110812e-06 1.9110812e-06 1.9110812e-06 5.7332436e-06 2.8666218e-06 2.8666218e-06 2.8666218e-06 0.0036224544 3.8221624e-05 2.0066353e-05 1.719973e-05 4.0132705e-05 1.4333109e-05 3.5355002e-05 1.8155271e-05 5.5421355e-05 6.688784e-06 2.8666218e-06 7.644325e-06 7.644325e-06 2.8666218e-06 4.777703e-06 2.0066353e-05 0.006908559 8.886528e-05 6.5932305e-05 5.2554733e-05 0.00014428663 3.439946e-05 0.00010606501 9.459852e-05 0.00011657595 3.153284e-05 1.9110812e-05 2.8666218e-05 2.3888515e-05 1.9110812e-05 2.7710677e-05 6.5932305e-05 0.0016463965 2.7710677e-05 1.719973e-05 4.3954868e-05 2.4844056e-05 1.8155271e-05 3.439946e-05 1.0510947e-05 7.644325e-06 5.7332436e-06 1.1466487e-05 1.2422028e-05 9.555406e-06 8.599865e-06 7.166555e-05 6.688784e-06 0.0015852419 1.3377568e-05 4.777703e-06 2.1021893e-05 3.248838e-05 6.688784e-05 2.1977434e-05 1.528865e-05 7.930987e-05 1.9110812e-05 5.7332436e-06 3.8221624e-06 1.8155271e-05 1.2422028e-05 1.1466487e-05 4.586595e-05 0.005909063 0.00016435298 0.00015193096 5.1599192e-05 0.00032392825 0.00019588582 0.00029048434 0.00016817515 9.077636e-05 5.9243517e-05 8.026541e-05 4.873257e-05 4.873257e-05 7.2621086e-05 3.7266083e-05 0.00013473122 0.016846182 0.0005150364 0.0013798006 0.0006927669 0.00045483734 0.00031150624 0.0025694487 0.001470577 0.0003975049 6.5932305e-05 8.217649e-05 0.000113709335 0.0002331519 4.968811e-05 0.00034399462 0.0038278957 0.0065693418 0.00013377568 0.0004280822 0.000176775 0.0006449899 0.00042521558 0.0008284537 0.00069085584 0.00035832773 2.3888515e-05 3.439946e-05 0.00012135366 7.453217e-05 5.2554733e-05 0.00022646312 0.00095267396 0.0036845645 8.1220955e-05 0.00058001315 0.0006172792 0.0007271664 0.00039846043 0.0022913865 0.0011284935 2.9621759e-05 3.248838e-05 3.9177165e-05 3.9177165e-05 3.9177165e-05 3.248838e-05 3.5355002e-05 2.8666218e-05 0.0051159644 0.00013568677 0.00082463154 0.00022455204 0.0009918512 0.00061059045 0.0029115323 0.0015737754 0.00017008623 9.077636e-05 0.00010033177 0.00013759785 0.00011657595 0.000111798254 0.00021595218 0.0003669276 0.045606997 0.002797823 0.0026898468 0.0050328323 0.002884777 0.0029698203 0.003202972 0.003396947 0.002843689 0.0024891833 0.0025493824 0.002768201 0.0024222955 0.0025111607 0.0029134434 0.0029401984 0.003916761 0.00032870597 0.0005265029 0.00029335095 0.00045005963 0.0004328599 0.0005933907 0.0005742799 0.00064976764 0.0002073523 0.00017773056 0.00021499663 0.0003669276 0.00021595218 0.00027615123 0.0005599468 0.0085683325 0.001528865 0.0014600661 0.0013587788 0.0029344652 0.0038059182 0.001765839 0.0029440206 0.0048866346 0.0013377569 0.0005121698 0.0005809687 0.0029440206 0.0011237158 0.0016148636 0.003729475 0.012041722 0.0028876436 0.002071612 0.002580915 0.0038785394 0.005520158 0.0021470997 0.0047270595 0.0072601973 0.0016091304 0.001268958 0.0012594025 0.0042483336 0.0018298603 0.0036243654 0.0076242583 0.0060437946 0.0059233964 0.004810191 0.0055086915 0.0051446306 0.006227258 0.005794398 0.0058641527 0.0054714256 0.0048914123 0.005274584 0.0051694745 0.0047910805 0.005351983 0.0059644845 0.0058316644 813.0 13.578106 11039.0 0.04003986 0.0017211704 0.0045293956 0.0017211704 0.005978802 0.0013588187 0.0015399946 0.005254099 0.002989401 0.001177643 0.002083522 0.0019023463 0.003261165 0.0051635113 0.007699973 0.0038952804 0.010961138 0.008605852 0.0103270225 0.008968203 0.007881149 0.007699973 0.007609385 0.004710572 0.0068846815 0.006612918 0.0067940936 0.0057070386 0.0068846815 0.0080623245 0.00652233 0.005978802 0.004076456 0.015581122 0.0039858683 0.009783495 0.017211704 0.0057070386 0.007156445 0.012772896 0.0050729234 0.011595253 0.0018117583 0.0033517529 0.005978802 0.0061599785 0.009330555 0.004257632 0.01693994 0.0036235165 0.008424676 0.013588187 0.007971737 0.0038952804 0.009330555 0.010055259 0.009149379 0.002355286 0.0017211704 0.002989401 0.004167044 0.0030799892 0.0028082253 0.0058882143 0.0060693906 0.03478576 0.0060693906 0.027266962 0.019114051 0.07373856 0.008334088 0.010508198 0.010779962 0.034423407 0.004257632 0.003261165 0.030528128 0.013225836 0.03261165 0.038590454 0.015037594 0.002989401 0.043301024 0.02735755 0.054443337 0.018026995 0.009421144 0.00434822 0.007518797 0.009692907 0.003170577 0.0019023463 0.002355286 0.0019929342 0.0017211704 0.0028082253 5.924047 0.0 1.0 0.0 5.0 525235.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 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 -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 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 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 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0