Input: 0.18539141 0.01166222 0.0024279803 0.0021340223 0.0022499096 0.0020690123 0.0022668687 0.003829934 0.007334818 0.0025014698 0.0058706813 0.0056643453 0.0029537128 0.0024732046 0.0017665747 0.002258389 0.0020040025 0.0016987382 0.0017213504 0.0021029306 0.0017015648 0.0018315846 0.0017241769 0.0015771979 0.0018881151 0.0017891868 0.0015517592 0.0016902587 0.0017241769 0.0016337283 0.005110347 0.013931915 0.0020153085 0.0016280753 0.0053138565 0.0018259316 0.0018259316 0.0016506874 0.0017467891 0.0017948399 0.0018881151 0.0016874322 0.0017637482 0.0017128708 0.0021453283 0.0017694012 0.0017213504 0.0017439625 0.0018372377 0.0017637482 0.001811799 0.0017156973 0.001676126 0.0016478609 0.0017015648 0.0016535139 0.001676126 0.00166482 0.0016930852 0.0016337283 0.0017156973 0.001517841 0.001676126 0.0018457173 0.0018202786 0.0016959117 0.0017891868 0.0016874322 0.0019729107 0.0017100443 0.010299837 0.0016902587 0.0018796355 0.0017496157 0.0016676466 0.0017270035 0.0017863604 0.0017213504 0.0017185239 0.0016139427 0.0018287582 0.0018796355 0.0017835338 0.0016450344 0.0016478609 0.0015913305 0.0014980554 0.0016902587 0.0017496157 0.0016563404 0.001529147 0.0015630653 0.0016874322 0.0018146256 0.0016959117 0.0016054631 0.001975737 0.0017524421 0.0017552687 0.0016987382 0.0018457173 0.0019587781 0.004694849 0.0017072178 0.0021283692 0.002023788 0.001735483 0.0016846056 0.0019389924 0.0017580951 0.0017496157 0.0018315846 0.0017637482 0.0015941571 0.010407245 0.0017778808 0.001811799 0.0017241769 0.0016619934 0.0016874322 0.0018089724 0.001670473 0.0019079007 0.0015800244 0.0016309018 0.0015998101 0.0015969835 0.0018598499 0.0022386035 0.0017128708 0.0016393813 0.0017100443 0.0018485438 0.012710858 0.0017213504 0.0015602388 0.0019107272 0.001806146 0.0016676466 0.0022810013 0.0020577062 0.0017072178 0.0016789526 0.0016789526 0.0017043913 0.0016902587 0.0016111161 0.0016309018 0.0016111161 0.0015404532 0.0015771979 0.0016365548 0.012436686 0.0018259316 0.0015319736 0.0016224222 0.0016365548 0.0016930852 0.00166482 0.012594971 0.0016619934 0.001735483 0.0017524421 0.0015771979 0.0018909415 0.0019502984 0.0020633594 0.0018768089 0.00166482 0.0016309018 0.0017524421 0.0017665747 0.0017383095 0.001670473 0.0015998101 0.0015008819 0.0017807073 0.0016450344 0.0016563404 0.0016987382 0.0017156973 0.0015602388 0.0018372377 0.0017100443 0.10545179 0.0017637482 0.0016309018 0.0017467891 0.0015856775 0.0015941571 0.012541267 0.0016563404 0.0022668687 0.0017948399 0.0017241769 0.0015998101 0.0017270035 0.0016930852 0.0018541968 0.0016224222 0.001659167 0.001670473 0.0017439625 0.0017185239 0.0016874322 0.0016422078 0.0017580951 0.0016506874 0.0016902587 0.0017185239 0.001735483 0.0016874322 0.0016393813 0.0017580951 0.0016309018 0.0017015648 0.00166482 0.00166482 0.0018485438 0.0016450344 0.0019559516 0.0017072178 0.0014924023 0.0015489327 0.0017637482 0.0016789526 0.0015800244 0.0017298299 0.0017383095 0.0016902587 0.0015150144 0.0015941571 0.0017722277 0.0018824621 0.0015913305 0.0016817792 0.0015828509 0.0016422078 0.0016422078 0.0016026365 0.0022866542 0.0019983493 0.002035094 0.0017100443 0.0017496157 0.0015206675 0.0017213504 0.0017156973 0.001817452 0.0017665747 0.0013963006 0.0016195957 0.0015771979 0.0016563404 0.0017213504 0.15705273 0.005728788 4.2582666e-05 2.1291333e-05 0.0 0.0 0.0 2.1291333e-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 0.015228981 2.1291333e-05 2.1291333e-05 1.7033068e-05 2.9807867e-05 5.677689e-06 1.27748e-05 7.522938e-05 4.542151e-05 1.9871912e-05 2.6969023e-05 1.27748e-05 1.7033068e-05 1.4194223e-05 2.2710756e-05 0.0018707985 0.056984127 0.00048402298 0.00012490916 8.3745916e-05 3.6904978e-05 2.9807867e-05 0.0001334257 0.00013626454 0.0001334257 7.239053e-05 0.00015755587 4.2582666e-05 6.955169e-05 9.510129e-05 5.10992e-05 0.016946482 0.03356224 0.00072958303 0.0001987191 8.3745916e-05 2.4130179e-05 2.8388446e-05 0.0001972997 0.00016181414 0.00014620049 3.9743823e-05 8.3745916e-05 2.55496e-05 0.00021149391 2.6969023e-05 4.1163246e-05 0.010950843 0.013507222 0.0007735851 0.0004925395 1.4194223e-05 9.935956e-06 5.677689e-06 0.00041021302 6.955169e-05 0.00014478106 1.1355378e-05 6.5293425e-05 5.677689e-06 4.9679777e-05 7.0971114e-06 2.8388446e-05 0.004753645 0.013768395 0.0010432753 0.00051950855 3.6904978e-05 3.6904978e-05 2.6969023e-05 0.0004982172 3.5485555e-05 8.516533e-05 0.0004783453 7.3809955e-05 8.090707e-05 6.813227e-05 2.55496e-05 4.6840934e-05 0.009338379 0.024060626 0.0015982694 0.0008062318 0.00019020258 0.00037898574 4.542151e-05 0.0009254633 0.00039885764 0.0010645667 0.0050077215 0.00031653116 0.0008289426 4.9679777e-05 3.2646712e-05 0.0001021984 0.02233319 0.010458303 0.00079771527 0.0003065952 2.8388446e-05 0.00015613645 5.2518622e-05 0.00039885764 0.00019446085 0.0011454738 0.0041901344 0.00017458893 0.0011369572 0.0 4.258267e-06 3.2646712e-05 0.012899709 0.016864156 0.004110647 0.0006940975 3.2646712e-05 0.0028828466 5.677689e-05 0.0006983557 0.0029254293 0.003680562 0.0057841456 0.00025691543 0.003640818 3.83244e-05 7.522938e-05 6.3874e-05 0.03377657 0.012272324 0.005361158 0.0009495935 4.400209e-05 0.003997093 0.0001972997 0.0008913972 0.0041319383 0.0041035498 0.0046315747 0.00041163244 0.003970124 0.00016749183 0.00036053325 0.00024556005 0.033846125 0.006407272 0.0020766146 0.00053654163 0.00022001045 0.0018906704 0.00023420466 0.0006202875 0.0019758358 0.0018778957 0.0018395712 0.00024697947 0.0017316951 0.00016607241 0.00032788655 0.00031653116 0.011508675 0.003731661 0.00031937 0.00036621094 0.00027678732 0.0004087936 0.00031369232 0.00041731013 0.00035627498 0.00044853744 0.00020155795 0.00017600835 0.00048828125 0.00026543197 0.00021291334 0.00022852699 0.00050957256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024963379 0.023842035 0.024561683 0.023640478 0.024195472 0.023396337 0.024456644 0.023187682 0.024536133 0.023455953 0.02346163 0.119038425 0.024391351 0.023512729 0.023199037 0.022905217 0.0030815657 0.0026301893 0.0026060592 0.002493925 0.0025876067 0.0025705737 0.002410179 0.0024286315 0.0026727722 0.0024655364 0.0024825695 0.011172272 0.0024314702 0.0024967638 0.00240734 0.00248115 64.0 12.859375 823.0 0.059538275 0.0012150669 0.024301337 0.0 0.0048602675 0.0 0.031591736 0.018226003 0.0036452005 0.0 0.0 0.0 0.0012150669 0.007290401 0.014580802 0.017010937 0.0048602675 0.0048602675 0.0036452005 0.013365735 0.0 0.0 0.0 0.0 0.0024301338 0.0024301338 0.0060753343 0.0 0.014580802 0.009720535 0.012150669 0.0024301338 0.0036452005 0.009720535 0.0 0.0036452005 0.007290401 0.008505468 0.008505468 0.008505468 0.008505468 0.0048602675 0.0012150669 0.0024301338 0.0060753343 0.0048602675 0.0036452005 0.0012150669 0.008505468 0.0 0.0048602675 0.0060753343 0.0048602675 0.0060753343 0.009720535 0.0060753343 0.0 0.0024301338 0.0012150669 0.0012150669 0.0 0.0036452005 0.0012150669 0.0024301338 0.0012150669 0.036452007 0.02673147 0.027946537 0.020656137 0.08991495 0.007290401 0.0048602675 0.007290401 0.031591736 0.0024301338 0.0012150669 0.037667073 0.02308627 0.029161604 0.043742407 0.0048602675 0.0048602675 0.047387607 0.05346294 0.040097207 0.020656137 0.010935602 0.0 0.008505468 0.008505468 0.0024301338 0.0012150669 0.0012150669 0.0012150669 0.0012150669 0.0012150669 5.49399 0.0 0.0 0.0 1.0 353792.0 372736.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1539826800.0 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 -185344.0 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 -3.9095817 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 -7.1084466 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 -48.0 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 -185338.0 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 48.0 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: 0.011170922 0.0040763733 0.0041158525 0.003988919 0.0040224013 0.0039204545 0.0038819746 0.0041425885 0.004172573 0.003938445 0.0038899705 0.004031147 0.0038557383 0.0039381953 0.003810512 0.0042540305 0.003944442 0.0039114594 0.0039589345 0.0039044628 0.003919705 0.0039142077 0.0038877216 0.003875478 0.0037682839 0.003834749 0.003783276 0.003751043 0.003860236 0.0037422974 0.0038225057 0.003858237 0.004027399 0.0039734268 0.0039304495 0.0039511886 0.0039869198 0.0039267014 0.0038769771 0.003908461 0.0039212042 0.0038974665 0.003817758 0.0037767794 0.0039311987 0.0038764775 0.003942693 0.0038537392 0.0038664828 0.003820007 0.0038459934 0.0038604857 0.0038022662 0.0037170607 0.0037038175 0.0037825264 0.0037810272 0.0037802777 0.003708815 0.0037637863 0.0038469927 0.0038327503 0.0038672322 0.003976925 0.0040568835 0.0038729792 0.003969429 0.003901964 0.0038884713 0.003975426 0.0038367482 0.003848242 0.003913458 0.0039891684 0.0038802256 0.0039149574 0.0038452437 0.0037917716 0.0038429948 0.0037900226 0.004011657 0.0038922192 0.003955936 0.0038362485 0.0038529898 0.0038629845 0.0038414956 0.003892719 0.0038672322 0.0038524899 0.0038150095 0.0038572375 0.00381426 0.0038532396 0.0038402462 0.0038514906 0.0038637342 0.003894718 0.0038402462 0.0038322506 0.003954187 0.0040791216 0.0038230054 0.0037535415 0.003938695 0.003860236 0.0038247544 0.0037932708 0.0038512405 0.0037812772 0.003930699 0.0038974665 0.0039531873 0.0038287523 0.0040179035 0.0038175082 0.0040521356 0.0038829742 0.0037542912 0.0038477425 0.003820007 0.0039107096 0.0037675344 0.0038262536 0.0038744784 0.0038399964 0.003873729 0.003946691 0.0040411414 0.0038574873 0.0038707305 0.003867482 0.0039821723 0.0039224536 0.0038050148 0.0039414437 0.0039679296 0.004013156 0.0039204545 0.004072625 0.0038669824 0.003819507 0.0037790283 0.0038622348 0.0039429427 0.0038959673 0.003931699 0.003938445 0.003922703 0.0038989657 0.0038564878 0.0038587367 0.0037682839 0.003781527 0.0037780288 0.0037905222 0.003810262 0.003764286 0.00389072 0.0038564878 0.003913458 0.0038707305 0.0038939684 0.0037722818 0.0039411937 0.0039429427 0.003769783 0.0037932708 0.003796769 0.0038362485 0.003810012 0.003771532 0.0038439943 0.0038210063 0.0037885234 0.0038787262 0.0038532396 0.0037495436 0.00394844 0.003722058 0.0038335 0.0037712823 0.003785025 0.0038067638 0.0038344993 0.0038172584 0.0038325004 0.0038777268 0.003858487 0.0038419955 0.0038592364 0.0039292 0.004042891 0.0038307514 0.003919205 0.0037915218 0.003915707 0.0038974665 0.0038574873 0.0038185078 0.0039017142 0.003945941 0.003877477 0.003880975 0.0040476383 0.003781527 0.0037965192 0.0038017663 0.003896467 0.0038325004 0.0039529377 0.0037635365 0.0038877216 0.003710564 0.003835249 0.0037385493 0.0037992678 0.0037772793 0.0037652855 0.0038145098 0.0038402462 0.003834749 0.0038162589 0.0038072634 0.0038892208 0.0037807773 0.0039034635 0.0037075656 0.0039069615 0.0038542391 0.0037752802 0.0038282527 0.003994416 0.003844994 0.0037540414 0.003888721 0.0038125108 0.0037707826 0.0038699808 0.0039129583 0.0039454415 0.0038492416 0.0039054623 0.0038357486 0.003850491 0.003790772 0.0037802777 0.00391021 0.003969429 0.0039239526 0.0038652334 0.00390921 0.0040136557 0.003853989 0.0039819223 0.0052500106 0.00024957708 2.6244961e-06 2.49952e-07 2.49952e-07 2.49952e-07 2.49952e-07 6.2488004e-07 2.49952e-07 1.24976e-07 0.0 0.0 0.0 7.4985604e-07 0.0 0.0 9.99808e-07 0.00024395317 5.2489922e-06 1.2497601e-06 2.49952e-07 2.49952e-07 2.49952e-07 6.2488004e-07 2.49952e-07 1.24976e-07 0.0 0.0 1.24976e-07 2.6244961e-06 0.0 0.0 9.99808e-07 0.0016398102 1.9996161e-05 2.0746016e-05 1.6121905e-05 4.749088e-06 6.7487044e-06 1.5622001e-05 7.373584e-06 1.3747361e-05 6.7487044e-06 9.748128e-06 7.248608e-06 7.748512e-06 4.37416e-06 0.0 1.0872913e-05 0.00022183241 2.374544e-06 8.7483204e-07 6.9986563e-06 1.24976e-07 6.2488004e-07 7.1236323e-06 2.49952e-07 8.7483204e-07 2.49952e-07 2.49952e-07 1.124784e-06 2.9994242e-06 5.2489922e-06 3.1244e-06 1.87464e-06 0.00021420888 1.4997121e-06 2.749472e-06 9.99808e-07 1.2247649e-05 1.0123056e-05 2.374544e-06 2.249568e-06 2.249568e-06 4.99904e-07 3.7492802e-07 6.2488004e-07 9.99808e-07 1.24976e-07 2.874448e-06 1.7496641e-06 0.00020221117 2.1245921e-06 8.373392e-06 1.124784e-06 2.1245921e-06 1.7496641e-06 1.4997121e-06 1.2497601e-06 9.373201e-06 7.373584e-06 7.998464e-06 1.374736e-06 1.4997121e-06 2.1245921e-06 4.2491843e-06 1.4997121e-06 0.00018946362 2.6244961e-06 7.6235365e-06 1.4997121e-06 1.3497409e-05 1.0747936e-05 3.249376e-06 2.874448e-06 2.874448e-06 4.1242083e-06 4.749088e-06 1.124784e-06 1.999616e-06 8.7483204e-07 5.9988483e-06 2.6244961e-06 0.0009725633 1.87464e-06 0.00014547206 1.8996352e-05 2.6994818e-05 2.4370322e-05 0.00037417817 0.00020046151 6.498752e-06 3.7492802e-07 3.7492802e-07 1.4997121e-06 2.9994242e-06 0.0 1.87464e-06 1.3122481e-05 0.00041529528 4.749088e-06 3.874256e-06 1.4122288e-05 1.4997121e-06 8.7483204e-07 1.2372624e-05 5.136514e-05 0.00015422038 4.99904e-07 4.99904e-07 2.874448e-06 7.1236323e-06 1.124784e-06 9.873104e-06 8.7483204e-05 0.0008233419 2.974429e-05 4.699098e-05 2.9619314e-05 8.8358036e-05 6.6362256e-05 0.00030331677 0.00015959436 2.3120561e-05 2.6244961e-05 2.974429e-05 3.2618736e-05 2.974429e-05 2.6119986e-05 2.6994818e-05 4.974045e-05 0.0003843012 4.874064e-06 1.9746209e-05 7.998464e-06 3.0369169e-05 2.5745057e-05 6.348781e-05 4.5241315e-05 2.0870993e-05 1.5871952e-05 1.5372048e-05 1.937128e-05 3.0994048e-05 1.4497216e-05 1.3122481e-05 5.598925e-05 0.0007907232 2.349549e-05 3.624304e-05 2.224573e-05 5.0240353e-05 3.499328e-05 0.00014834652 0.00010635458 0.00011022884 5.661413e-05 0.00013734863 8.248416e-05 8.185928e-05 6.598733e-05 8.623344e-05 0.00021420888 0.000651125 2.661989e-05 2.9369361e-05 3.1368978e-05 4.6491074e-05 3.8617585e-05 4.3741602e-05 5.9863505e-05 8.3109044e-05 8.610847e-05 0.0001088541 0.00012435112 0.00015796967 0.00011235343 0.00010622961 0.00034143444 0.001411604 0.00011635266 8.4358806e-05 0.00013759857 0.00023545479 0.00020821003 0.00017796583 0.00019108831 0.00037567786 0.00019658725 0.00024132867 0.00024620272 0.00035430698 0.00023345518 0.000239579 0.0006692465 0.0010851667 0.00023008083 0.000117352465 0.00021408389 0.00037930216 0.00035805625 0.00020446074 0.00022783126 0.0005650165 0.00011110367 0.00015646996 0.00011422807 0.0003885504 0.00011210347 0.00023008083 0.00062512996 0.06163629 0.06126786 0.062069956 0.060458265 0.061429832 0.061114766 0.060561746 0.060959045 0.061229993 0.061181627 0.060739588 0.060692724 0.061042655 0.06050101 0.06077133 0.061563678 19315.0 5.82511 112512.0 0.010096701 0.010443331 0.010363339 0.010247796 0.009963382 0.010025597 0.009696743 0.00988339 0.009741183 0.010861063 0.009634528 0.009590088 0.010523322 0.010256683 0.011243246 0.010043373 0.00992783 0.010541098 0.010070037 0.009838951 0.009501209 0.0103188995 0.009465657 0.009758959 0.010025597 0.010549986 0.009723407 0.00992783 0.01023002 0.010247796 0.009607864 0.009830062 0.0099544935 0.010638866 0.010523322 0.010763296 0.010567762 0.010523322 0.010709968 0.010007821 0.010798848 0.011749858 0.010238908 0.0103188995 0.010292236 0.010398891 0.010434442 0.010150028 0.010789961 0.010558873 0.011038822 0.010816624 0.010283347 0.010852176 0.010372227 0.010549986 0.009998933 0.010541098 0.010434442 0.010150028 0.01057665 0.0100611495 0.0100611495 0.010221132 0.010407778 0.011358788 0.010132252 0.011367677 0.011634314 0.01372298 0.010612201 0.009874502 0.010434442 0.011216582 0.010310011 0.010478882 0.011456556 0.010701081 0.011776522 0.011269909 0.010345563 0.009901166 0.012354238 0.0114387795 0.012087599 0.010629977 0.009430105 0.009892278 0.009776735 0.010852176 0.009438993 0.00962564 0.010007821 0.0100611495 0.00988339 0.009963382 6.581992 0.0 0.0 0.0 71.0 4002087.0 6111232.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1509310500.0 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 5715456.0 512.0 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 -5715456.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.992981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5715092.0 0.0 371856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 5723192.0 371856.0 5726208.0 0.0 0.0 0.0 0.0 12.0 6103040.0 28.0 5722880.0 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: 0.20213889 0.008104068 0.0049815606 0.004292227 0.0054844036 0.0023345575 0.00342226 0.0024829693 0.0065086405 0.0013630457 0.0015817578 0.0011785072 0.004045199 0.0015583244 0.0012907925 0.0042365724 0.004632988 0.002499568 0.0011941296 0.0010896554 0.0023462742 0.003412496 0.0007820914 0.0006073169 0.0018815107 0.0006229392 0.00062879757 0.0007000743 0.0013405886 0.0008113832 0.0006258684 0.0007625635 0.004694501 0.000592671 0.00061610446 0.0006366087 0.0030863807 0.0009949452 0.0006307503 0.0005799779 0.0010349774 0.00049307884 0.00082212355 0.009184936 0.0012859105 0.0008318875 0.0011394515 0.00075768156 0.0043888898 0.010329269 0.0024858983 0.003538451 0.0009822521 0.0010261898 0.00088949467 0.002281832 0.0024448899 0.0016969723 0.0008650848 0.0028061555 0.0010730567 0.0014567794 0.0016022621 0.0007567051 0.006234274 0.0034378823 0.0015964038 0.0019684099 0.0022232486 0.005954049 0.0018160923 0.0011667905 0.0013884319 0.0012068227 0.0005897418 0.0008289583 0.0013825735 0.0028090847 0.0013425414 0.002117798 0.005894489 0.0020719075 0.0012126811 0.0035589552 0.0013718331 0.005451206 0.019631373 0.0035745774 0.0010008035 0.0021900511 0.00066297135 0.0015075519 0.012670661 0.0032504147 0.001879558 0.0021265855 0.00097639376 0.0029233228 0.008121643 0.0027446428 0.0019654806 0.0051944144 0.003169374 0.0010603636 0.003978804 0.003224052 0.0028940311 0.00072546053 0.002395094 0.0014733782 0.0026577436 0.003608751 0.0021910276 0.00050088996 0.0038567553 0.0027339025 0.008951577 0.0074752704 0.0010818442 0.0010252134 0.0011423806 0.001158003 0.008852962 0.0020143003 0.0010916082 0.0016862319 0.000684452 0.0006815228 0.08731206 0.085466675 0.0012458784 0.0057900148 0.0014938824 0.0045822156 0.0045421836 0.014012227 0.0019479055 0.0049493397 0.00076842186 0.0124802645 0.0007820914 0.0055986415 0.00062977395 0.0004999136 0.0010486469 0.00034173782 0.0002333581 0.00034954897 0.00058388343 0.00044816473 0.00037102963 0.0003280683 0.0005663084 0.0011833892 0.0003280683 0.00026948468 0.00053506374 0.000404227 0.0015651592 0.0006727353 0.0006307503 0.0007410828 0.00044718833 0.0006209864 0.012074085 0.016930668 0.001410889 0.00035345452 0.0006639477 0.00036321848 0.0019127553 0.016038243 0.017220655 0.0017799658 0.00062001 0.0004052034 0.0008055248 0.00039055748 0.004132098 0.0018551481 0.00055459165 0.0004969844 0.0009861577 0.00082993467 0.0009197629 0.0004530467 0.00035150175 0.0005477569 0.00059657654 0.00042863685 0.00061708083 0.0005067483 0.005004018 0.0016823264 0.0017887533 0.002105105 0.0015475841 0.00044816473 0.0011589794 0.0019879376 0.001304462 0.0016276484 0.0006366087 0.00046183422 0.0017516504 0.00043449522 0.00064441987 0.0009910397 0.0033958973 0.0023775187 0.00070397987 0.0005868126 0.0006688297 0.0004081326 0.0046261535 0.015562739 0.0009295268 0.00045890507 0.00037102963 0.00070983823 0.0006463727 0.0002958473 0.00041887292 0.0002958473 0.0013357067 0.0008211471 0.00036810045 0.00027631942 0.00091097533 0.000312446 0.0006395379 0.00035443093 0.005921828 0.0011746016 0.00040910896 0.0023218642 0.0021021757 0.00032220993 0.00037981715 0.0003270919 0.0017711782 0.00074205926 0.0010154495 0.00092073926 0.0011726489 0.00030463486 0.0016296011 0.0011296875 0.0025239778 0.0008289583 0.00056240277 0.00086606125 0.0026753189 0.0010388829 0.002236918 0.03724942 0.023927247 1.0264171e-05 9.7754e-06 6.8427803e-06 7.82032e-06 5.8652404e-06 1.564064e-05 1.0264171e-05 5.8652404e-06 2.9326202e-06 1.4663101e-06 1.4663101e-06 1.95508e-06 1.4663101e-06 2.44385e-06 1.270802e-05 0.0038226703 6.0607483e-05 2.4438501e-05 2.1017111e-05 3.91016e-06 3.4213901e-06 1.0264171e-05 4.8877e-06 1.1730481e-05 3.4213901e-06 9.7754e-07 4.3989303e-06 5.8652404e-06 4.3989303e-06 9.7754e-07 2.1017111e-05 0.021989275 6.0607483e-05 0.000106551866 5.8163634e-05 0.00081233575 0.0005088096 6.7939036e-05 5.620855e-05 0.00013881069 2.834866e-05 2.492727e-05 2.492727e-05 3.3725133e-05 1.857326e-05 1.564064e-05 7.918074e-05 0.011382965 0.00011339464 0.00013147913 8.4068444e-05 0.000323077 0.00016227165 0.00018035613 0.00010215293 6.0607483e-05 2.3460962e-05 2.3460962e-05 3.714652e-05 5.5231012e-05 4.0079143e-05 2.0528341e-05 0.00027273368 0.010062797 0.00044233687 0.0003079251 0.0002135925 0.00017204705 0.0011935764 0.00026686842 0.0018529271 0.025477137 0.00023265454 0.004235681 3.714652e-05 0.00017546843 5.620855e-05 2.6393582e-05 0.00029228447 0.015011105 0.00027126737 0.000848016 0.000329431 0.0006911208 0.003999605 0.00082846516 0.003073386 0.052750994 0.000371954 0.011938208 0.00014223208 0.00032552084 0.0004091005 0.00015298501 0.0009487026 0.007145329 9.4821386e-05 0.00083579676 0.00031916684 0.0007615037 0.0032610735 0.0010567207 0.0018177357 0.026137954 0.00014711978 0.0073310616 0.0001564064 7.33155e-05 0.00075905985 2.883743e-05 0.00012414758 0.010459189 0.00013881069 0.0015430469 0.0010767604 0.0010660074 0.004197068 0.0018416854 0.0023475625 0.029698644 0.00021310373 0.01507269 0.0016505764 0.00021310373 0.0077025266 8.3579675e-05 0.00077372295 0.016417297 0.000518585 0.0038177827 0.0032679164 0.0015303389 0.008466475 0.0038896317 0.003043571 0.030632684 0.0003030374 0.015518937 0.0017141164 0.00027762138 0.006973282 0.0001124171 0.00061340636 0.0154901 0.00055084383 0.002892541 0.0039385087 0.0018993603 0.008433238 0.009613128 0.004133528 0.01766757 0.00080256036 0.0073183533 0.0012776449 0.00050441065 0.0045387186 0.00029130693 0.0017292683 0.013788202 0.0010806705 0.003239079 0.008144375 0.0016984758 0.008452789 0.007970373 0.003017666 0.00669175 0.000622693 0.0022884212 0.0011290588 0.000518585 0.0030626329 0.00050098926 0.0018583037 0.015010616 0.0012043293 0.0015924127 0.0035665547 0.0015821486 0.0017996512 0.0030812062 0.0021398352 0.0013753988 0.00088956143 0.00092182023 0.00055084383 0.0008323754 0.0006989411 0.0007028513 0.0050924947 0.01610155 0.001396416 0.0013885957 0.0017190041 0.0026911676 0.002709741 0.003549448 0.0026046555 0.0022414993 0.0015274063 0.0020323058 0.0015694406 0.001844618 0.0011363903 0.0010239732 0.007514839 0.029917613 0.006418528 0.0033891313 0.004994252 0.0081262905 0.008804214 0.0046091015 0.007097918 0.01562891 0.0014379614 0.0017693475 0.002335832 0.006384314 0.0024849067 0.005149192 0.015576612 0.042347524 0.011023719 0.006664868 0.009987038 0.014263775 0.015673388 0.008991414 0.013019367 0.023411594 0.0023578266 0.0034819976 0.0035465152 0.012046226 0.0043031313 0.009598955 0.021484863 0.0014364951 0.0005728385 0.00059874327 0.00093892723 0.0004594438 0.0004579775 0.0011466545 0.0008240662 0.00044233687 0.00027371122 0.0003245433 0.0003064588 0.00030548126 0.00029766094 0.0002854417 0.00033822886 5995.0 14.964804 89714.0 0.022215039 0.0013487304 0.0019506431 0.0009697483 0.0017611521 0.0021289876 0.0011815324 0.0020844014 0.0016273938 0.0015159284 0.0024410905 0.0679827 0.0030875895 0.0031990549 0.004714983 0.002429944 0.011157678 0.09919299 0.019684777 0.0034108388 0.0019952294 0.0016496868 0.0021624272 0.016418843 0.014468199 0.0033216667 0.002407651 0.0037229417 0.0025859955 0.0037340883 0.008961812 0.0011480928 0.0018391778 0.006554161 0.0014379027 0.008103529 0.0052277236 0.004213389 0.0033885457 0.004068484 0.002140134 0.004380587 0.000523887 0.0021958668 0.0029426846 0.005216577 0.0024187975 0.007891745 0.008894932 0.0035445972 0.0042245355 0.011302584 0.0036114764 0.02308447 0.113248765 0.008794614 0.0013710235 0.0015828076 0.0011480928 0.0042022425 0.07208463 0.0038678467 0.00085828296 0.003812114 0.0010254809 0.016318522 0.055955593 0.017288271 0.010232517 0.035379093 0.0059522483 0.0053280424 0.008103529 0.021289878 0.001527075 0.0018726174 0.013676795 0.00774684 0.01622935 0.024945939 0.0089172255 0.00036783557 0.023909312 0.015961835 0.029961878 0.007769133 0.0028423658 0.0030095638 0.0028535123 0.006275498 0.0072118063 0.0018280313 0.0003455425 0.00026751676 0.00024522372 0.000523887 5.338855 0.0 29.0 10.0 16.0 1024177.0 249856.0 1.0 0.0 135.0 1.0 1.0 1.0 0.0 0.0 1215013900.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 109056.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109056.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.759089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5796185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.137118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.718949 0.0 4.7067413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15042.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108711.0 0.0 94024.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 -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 -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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 126452.0 94024.0 147456.0 0.0 0.0 5632.0 236032.0 4424.0 241664.0 28.0 115328.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 124272.0 0.0 0.0 572.0 114688.0 0.0 0.0 0.0 0.0


Input: 0.18894859 0.013801096 0.003968254 0.0059348224 0.0055836495 0.0029498525 0.007321955 0.002282624 0.0016153954 0.003020087 0.0027567074 0.0018436578 0.0011588706 0.002774266 0.0015276022 0.0014749262 0.0013695743 0.0013344571 0.0010008428 0.004126282 0.0011764293 0.0013695743 0.0015802782 0.0010535187 0.0008954909 0.0010184015 0.0010535187 0.0010359602 0.0016680714 0.0018436578 0.0016329541 0.0012115466 0.010464953 0.0013344571 0.0015100435 0.004214075 0.001141312 0.0011061947 0.0010359602 0.0020192442 0.0017734233 0.0015978367 0.0018085405 0.0017558646 0.0012466639 0.0017031886 0.0045301304 0.0037575501 0.014608793 0.00635623 0.0035292879 0.001931451 0.0012993398 0.001439809 0.0013344571 0.0019138925 0.0018085405 0.0013344571 0.0038453434 0.0009657255 0.00093060825 0.0009657255 0.0009832842 0.00086037366 0.0011061947 0.0021070375 0.0027918248 0.004811069 0.0018963338 0.0027918248 0.0024406519 0.0027215902 0.002229948 0.0018612165 0.0008779323 0.0012993398 0.0009832842 0.0032307908 0.0033888186 0.0017558646 0.004354544 0.000544318 0.003564405 0.0034766118 0.0026689142 0.004863745 0.0007901391 0.001439809 0.0006145526 0.00070234586 0.0012642225 0.00086037366 0.00077258045 0.0010535187 0.00059699395 0.006584492 0.00070234586 0.00816477 0.0024582103 0.008287681 0.005566091 0.018331226 0.0033361427 0.0062684366 0.0037926675 0.014468324 0.0013168984 0.00168563 0.005689001 0.0052500353 0.0099381935 0.017330384 0.0045301304 0.00059699395 0.016750949 0.010289366 0.01478438 0.004477455 0.001931451 0.0018436578 0.0013168984 0.0023353 0.00082525634 0.0043896614 0.00059699395 0.004565248 0.00070234586 0.00075502176 0.00570656 0.038330525 0.02449431 0.027251018 0.0035995224 0.0016153954 0.0037751088 0.0014749262 0.0050393315 0.0027215902 0.0024055345 0.0026337968 0.0043018684 0.002528445 0.00070234586 0.0026864728 0.0018436578 0.000842815 0.0035995224 0.0026337968 0.0016505127 0.0031956735 0.0035468466 0.0060577327 0.0012466639 0.0034590533 0.0011237534 0.0036521982 0.0016153954 0.0014749262 0.0010535187 0.0035995224 0.0022650652 0.0024406519 0.0024055345 0.0018787751 0.0028971767 0.0017207473 0.0042316336 0.0043018684 0.0023177413 0.0026864728 0.004459896 0.0040384885 0.0010359602 0.0024406519 0.0032659082 0.0033010254 0.0017734233 0.0010184015 0.0007374631 0.0034941705 0.001931451 0.0015100435 0.00093060825 0.0010535187 0.0043896614 0.0016329541 0.0018085405 0.0010710774 0.0035995224 0.0016505127 0.0044950135 0.0021245962 0.0008076977 0.0009481669 0.0004214075 0.00086037366 0.0004916421 0.00075502176 0.000544318 0.00040384886 0.0006496699 0.00068478717 0.00068478717 0.00082525634 0.0007374631 0.0006496699 0.00070234586 0.00077258045 0.0005794353 0.00075502176 0.00077258045 0.00066722854 0.00045652478 0.0005794353 0.0006496699 0.00068478717 0.00059699395 0.000544318 0.0005618767 0.0005618767 0.00047408344 0.00070234586 0.00077258045 0.00066722854 0.0007374631 0.00066722854 0.00068478717 0.080717094 0.0030903218 0.0071112514 0.004214075 0.0036346398 0.0029849699 0.0016153954 0.00045652478 0.0005794353 0.00077258045 0.00070234586 0.0005794353 0.00075502176 0.00068478717 0.0005618767 0.000842815 0.00075502176 0.0007901391 0.00066722854 0.0004916421 0.0014046917 0.00066722854 0.0006496699 0.00077258045 0.0006321113 0.00066722854 0.0007901391 0.00052675937 0.0008954909 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013319228 4.5211225e-05 0.000479239 0.00043402778 0.00043402778 0.0002622251 0.0023057726 0.0010579427 5.4253473e-05 3.616898e-05 9.042245e-06 2.7126736e-05 9.042245e-06 0.0 1.808449e-05 2.7126736e-05 0.01856373 3.616898e-05 0.00013563369 0.00028935185 0.0021430121 0.001844618 0.008997034 0.0047381367 3.616898e-05 4.5211225e-05 2.7126736e-05 4.5211225e-05 4.5211225e-05 9.042245e-06 2.7126736e-05 5.4253473e-05 0.10970956 0.0015100549 0.0027307582 0.0025227864 0.011646412 0.011555989 0.05335829 0.027199075 0.00027126737 0.00025318286 0.00016276042 0.0003978588 0.00022605613 0.00013563369 0.00033456308 0.00020797165 0.011736834 0.0006781684 0.0040870947 0.001989294 0.0010579427 0.000922309 0.0034360532 0.0036078559 0.055058233 0.012785735 0.015579789 0.009205006 0.00020797165 0.00017180266 0.046006944 0.00013563369 0.0131293405 0.0007957176 0.0049280236 0.0035264757 0.0013563368 0.00094943575 0.0030653211 0.004059968 0.03620515 0.0098289205 0.010941117 0.008047598 0.00023509839 0.00022605613 0.03209997 0.00023509839 0.015507451 0.00042498554 0.0048466437 0.0015552662 0.0016366465 0.0011574074 0.0061487267 0.0040961374 0.013699002 0.0040870947 0.0043945312 0.0033365886 0.00017180266 0.00021701389 0.012568721 0.00022605613 0.00056966144 1.808449e-05 0.0034812645 0.0038791234 0.0022243923 2.7126736e-05 0.00043402778 0.002766927 0.008128978 0.0025770399 0.003056279 0.0019983363 0.0 0.0 0.0078757955 0.0 0.01614945 0.0021068433 0.0028211805 0.0022786458 0.0019440828 0.0017451533 0.0037615742 0.0025770399 0.0054705585 0.0024594907 0.0026041667 0.0023148148 0.0015643084 0.0013744213 0.004747179 0.0016366465 0.025309244 0.008472584 0.008400246 0.013599537 0.0069806133 0.007703993 0.015796803 0.010163484 0.0062572337 0.004123264 0.0044307 0.0036259403 0.0037344473 0.0033727575 0.0035445602 0.004114222 0.021701388 0.0084545 0.008716725 0.01268627 0.006700304 0.0074146413 0.015462239 0.010642723 0.006338614 0.0045663337 0.004964193 0.004322193 0.004222729 0.0040870947 0.004575376 0.0047743055 397.0 15.425693 6124.0 0.07070542 0.0016329197 0.0035924232 0.029392553 0.0022860875 0.0022860875 0.0017962116 0.00914435 0.0052253427 0.0052253427 0.0011430437 0.0021227954 0.0011430437 0.0078380145 0.0155127365 0.023840627 0.06890921 0.03723057 0.020574788 0.008164599 0.0022860875 0.004735467 0.0037557152 0.0066949707 0.006041803 0.005062051 0.025963422 0.0004898759 0.0009797518 0.0016329197 0.0014696277 0.0009797518 0.0008164598 0.0066949707 0.004735467 0.014206401 0.0026126713 0.0039190073 0.0024493795 0.0040822993 0.0013063357 0.0019595036 0.0021227954 0.0027759634 0.0008164598 0.014532985 0.013716525 0.0022860875 0.005878511 0.0008164598 0.008164599 0.008817766 0.004572175 0.0004898759 0.00065316784 0.004408883 0.0009797518 0.00065316784 0.0039190073 0.0004898759 0.00032658392 0.0011430437 0.00032658392 0.0034291313 0.0009797518 0.015022861 0.0014696277 0.032005224 0.012410189 0.023350751 0.015349445 0.008164599 0.0093076425 0.045068584 0.00032658392 0.0035924232 0.0068582627 0.017962117 0.021227956 0.0649902 0.015676029 0.0008164598 0.04147616 0.026290007 0.047191378 0.0066949707 0.0026126713 0.0068582627 0.0008164598 0.0017962116 0.0004898759 0.033801436 0.0008164598 0.033801436 0.0004898759 0.00032658392 5.5066175 2.0 20.0 0.0 2.0 56952.0 65536.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534795800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 38400.0 512.0 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 -38400.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5801315 0.0 3.4190998 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 -38372.0 0.0 1352.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 46468.0 1352.0 49152.0 0.0 0.0 15992.0 40960.0 12.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.15823428 0.010379122 0.0024180405 0.002389283 0.0023749042 0.0021184816 0.0024444018 0.0036809817 0.006714916 0.002597776 0.005444785 0.005255464 0.0029788152 0.0026265339 0.0018788343 0.0024156442 0.002202358 0.0019171779 0.0018932131 0.0021879794 0.001957918 0.0019699002 0.0019027991 0.0018428873 0.0020585698 0.0019195743 0.0017542178 0.001912385 0.001907592 0.0018500767 0.0047665834 0.01233704 0.0022502877 0.0017709931 0.004927147 0.0020178298 0.002039398 0.0019603143 0.0019147814 0.001953125 0.002075345 0.0018404908 0.0019219709 0.0019219709 0.0023197853 0.002089724 0.0019243674 0.001953125 0.002008244 0.0018572661 0.0020370015 0.0017901649 0.0018788343 0.001871645 0.0019459355 0.001866852 0.0018692485 0.0018404908 0.0019387462 0.0019722967 0.0019627109 0.0017014954 0.001907592 0.0020633626 0.0020777415 0.001862059 0.0018980062 0.0018860238 0.0021448429 0.0018980062 0.009207247 0.0019051955 0.0020298122 0.0019842791 0.0018860238 0.0019699002 0.0020633626 0.0019411426 0.001967504 0.0018333014 0.0019746933 0.0020274157 0.0019842791 0.0018812309 0.0019004026 0.0018309049 0.0017134778 0.0019027991 0.0018884202 0.001967504 0.0017278566 0.0018548697 0.0018452838 0.0021136887 0.0020010544 0.0019051955 0.0021088957 0.0020154333 0.0018860238 0.0018524731 0.0019411426 0.0022071511 0.0043903375 0.0018980062 0.002267063 0.0022311157 0.0019171779 0.0018908167 0.002135257 0.0019890722 0.0019770898 0.0020298122 0.0019651074 0.0018764379 0.009295916 0.0019914685 0.0019842791 0.0019147814 0.0018309049 0.0019507285 0.0019507285 0.0018980062 0.0021112922 0.0018021472 0.0018980062 0.0018548697 0.0018956097 0.0020561733 0.0024635736 0.0018980062 0.001866852 0.0019219709 0.0020130367 0.011225076 0.0018596626 0.0018261119 0.0020777415 0.0020226226 0.0018908167 0.002338957 0.002202358 0.0018500767 0.0018572661 0.0018476802 0.0018309049 0.0018932131 0.0018692485 0.001862059 0.0017566143 0.0017973543 0.0018860238 0.0019746933 0.011026169 0.001957918 0.0017685966 0.0018524731 0.0018932131 0.0019435391 0.0018596626 0.0111148385 0.0018333014 0.0019147814 0.0020202263 0.0017542178 0.0020825346 0.0022335122 0.0022143405 0.0020705522 0.0017685966 0.0018596626 0.0019099885 0.0019890722 0.001967504 0.0019027991 0.0018548697 0.0018093367 0.0019866757 0.0018404908 0.0018500767 0.0018908167 0.0018980062 0.0018189226 0.0020370015 0.0020250191 0.12014235 0.0020370015 0.0019435391 0.001967504 0.0018548697 0.0018476802 0.011177147 0.0019315567 0.0023916794 0.0020034509 0.002039398 0.0018309049 0.0019339533 0.0018404908 0.0020513805 0.0018596626 0.001871645 0.0018788343 0.0020322085 0.0019243674 0.0019099885 0.0018452838 0.0019746933 0.001871645 0.0020106402 0.0019315567 0.001957918 0.0019746933 0.0018237155 0.0019555215 0.0017949578 0.0019962615 0.0018836273 0.0018572661 0.0021424463 0.0018572661 0.002156825 0.0019627109 0.0017110812 0.0018764379 0.0020873274 0.0018500767 0.0017901649 0.001871645 0.0019507285 0.0019267638 0.0017638037 0.0017877684 0.0020058474 0.0020993098 0.0017590107 0.0018644555 0.0017470283 0.0018572661 0.0019195743 0.0018380943 0.0023101994 0.0021688074 0.00230301 0.0019315567 0.0019818826 0.0017709931 0.001871645 0.001953125 0.0019818826 0.0020681557 0.0016679448 0.0018500767 0.0018572661 0.0018237155 0.0018428873 0.13365127 0.0048539485 3.6079895e-05 1.8039947e-05 0.0 0.0 0.0 1.8039947e-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 0.012903374 1.8039947e-05 1.8039947e-05 1.4431958e-05 2.5255928e-05 4.8106526e-06 1.0823968e-05 6.374115e-05 3.848522e-05 1.6837284e-05 2.28506e-05 1.0823968e-05 1.4431958e-05 1.2026631e-05 1.924261e-05 0.0015851101 0.048282117 0.00041010816 0.00010583436 7.0957125e-05 3.1269243e-05 2.5255928e-05 0.00011305034 0.00011545567 0.00011305034 6.133582e-05 0.00013349562 3.6079895e-05 5.8930495e-05 8.057843e-05 4.3295873e-05 0.014358596 0.02843697 0.00061816885 0.00016837285 7.0957125e-05 2.0445274e-05 2.4053263e-05 0.00016717018 0.0001371036 0.00012387431 3.367457e-05 7.0957125e-05 2.1647937e-05 0.00017919681 2.28506e-05 3.4877234e-05 0.009278546 0.011444543 0.00065545144 0.00041732413 1.2026631e-05 8.418642e-06 4.8106526e-06 0.00034756967 5.8930495e-05 0.00012267164 9.621305e-06 5.5322507e-05 4.8106526e-06 4.2093212e-05 6.0133157e-06 2.4053263e-05 0.004027719 0.011665833 0.00088395743 0.0004401747 3.1269243e-05 3.1269243e-05 2.28506e-05 0.00042213476 3.006658e-05 7.215979e-05 0.0004052975 6.2538486e-05 6.85518e-05 5.7727833e-05 2.1647937e-05 3.9687886e-05 0.007912321 0.02039356 0.0013469828 0.000685518 0.00016115686 0.0003235164 3.6079895e-05 0.0007865417 0.00034035367 0.0009044027 0.004238185 0.0002705992 0.00069995 3.848522e-05 2.645859e-05 0.00012868496 0.01888061 0.008861222 0.0006758967 0.00025977523 2.4053263e-05 0.00013229295 4.4498538e-05 0.00033794835 0.00016476486 0.0009705492 0.0035502617 0.00014792757 0.0009633332 0.0 3.6079896e-06 2.7661254e-05 0.010929803 0.014288841 0.0034829127 0.00058810227 2.7661254e-05 0.0024426088 4.8106525e-05 0.00059171027 0.0024786887 0.0031185057 0.004900852 0.00021768204 0.003084831 3.2471904e-05 6.374115e-05 5.4119842e-05 0.028618572 0.011669441 0.004620632 0.000917632 9.621305e-05 0.0035189926 0.00026097792 0.000917632 0.0036043816 0.0036512853 0.0039291005 0.00035959628 0.0033794835 0.0001960341 0.00033073238 0.0003066791 0.02874365 0.005428822 0.0017594963 0.0004546067 0.0001864128 0.0016019474 0.00019843942 0.0005255638 0.0016741072 0.0015911234 0.0015586514 0.0002092634 0.0014672491 0.00014071159 0.00027781518 0.0002681939 0.009751193 0.002138335 0.00018160214 0.00018400747 0.00016476486 0.0001960341 0.00014552224 0.00018881811 0.00018039948 0.00014311692 0.00016717018 0.00013469828 0.00038966286 0.00014071159 0.00014672491 0.0001371036 0.0002874365 0.0007059633 0.00013950893 0.00015754887 7.817311e-05 0.00017799415 0.00015634621 4.4498538e-05 0.000110645015 0.00036681228 3.6079896e-06 8.418642e-06 3.728256e-05 0.0001274823 4.4498538e-05 0.00013469828 0.0001695755 0.028091807 0.027354574 0.028107442 0.027264373 0.02780437 0.027350966 0.02797635 0.027147716 0.027698535 0.027324507 0.027341345 0.13864782 0.02815194 0.02774183 0.026891548 0.02682901 0.0027877733 0.0023283558 0.0023439906 0.002263412 0.002335572 0.0022910733 0.0021732124 0.002174415 0.0023824756 0.0022477775 0.002250183 0.01000736 0.0021864416 0.0022129002 0.0021058633 0.0022441696 64.0 12.859375 823.0 0.059538275 0.0012150669 0.024301337 0.0 0.0048602675 0.0 0.031591736 0.018226003 0.0036452005 0.0 0.0 0.0 0.0012150669 0.007290401 0.014580802 0.017010937 0.0048602675 0.0048602675 0.0036452005 0.008505468 0.0 0.0 0.0 0.0 0.0024301338 0.0024301338 0.010935602 0.0 0.014580802 0.009720535 0.012150669 0.0024301338 0.0036452005 0.009720535 0.0 0.0036452005 0.007290401 0.008505468 0.008505468 0.009720535 0.008505468 0.0048602675 0.0 0.0024301338 0.0060753343 0.0048602675 0.0036452005 0.0012150669 0.008505468 0.0 0.0048602675 0.0060753343 0.0048602675 0.0060753343 0.009720535 0.0060753343 0.0 0.0024301338 0.0012150669 0.0012150669 0.0 0.0036452005 0.0012150669 0.0024301338 0.0012150669 0.036452007 0.02673147 0.027946537 0.020656137 0.08991495 0.007290401 0.0048602675 0.007290401 0.031591736 0.0024301338 0.0012150669 0.037667073 0.02308627 0.029161604 0.043742407 0.0048602675 0.0060753343 0.047387607 0.05346294 0.03888214 0.020656137 0.012150669 0.0 0.008505468 0.007290401 0.0024301338 0.0012150669 0.0012150669 0.0012150669 0.0012150669 0.0012150669 5.4933114 0.0 0.0 0.0 1.0 417280.0 434176.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1540375200.0 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 -248832.0 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 -4.0332875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7731757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.106534 0.0 3.0451012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 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 -248567.0 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 254028.0 166048.0 262144.0 0.0 0.0 0.0 0.0 48.0 430080.0 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 253952.0 0.0 0.0 0.0 0.0


Input: 0.10123056 0.01651016 0.009765625 0.007187115 0.01046317 0.005734298 0.0120699275 0.0059363456 0.0051762625 0.003877386 0.011237685 0.00368496 0.0030403326 0.0026410483 0.0040265163 0.0026699123 0.002698776 0.0071245767 0.005565925 0.0046759546 0.0029296875 0.0032616225 0.004969404 0.003656096 0.0032616225 0.0030114686 0.0036368535 0.0032664333 0.003309729 0.003256812 0.0036176108 0.0027324508 0.00523399 0.0024726754 0.002352409 0.00722079 0.0048395167 0.002410137 0.006624269 0.0021407404 0.008967057 0.0022465747 0.0045845523 0.0067108604 0.0031942734 0.0055803573 0.0027324508 0.0020252848 0.006441464 0.0047481144 0.0047577354 0.004469096 0.004627848 0.004295913 0.0045941733 0.0043440196 0.004820274 0.004902055 0.0021551724 0.0018617226 0.0021551724 0.014768704 0.0019002078 0.0022080897 0.0023187345 0.0061864993 0.004695197 0.005373499 0.0053494456 0.005195505 0.0054745227 0.004829895 0.0048828125 0.0052099368 0.004560499 0.004704818 0.005488955 0.0048972443 0.004704818 0.0046086055 0.004680765 0.005277286 0.0049116765 0.0053253924 0.004666333 0.004724061 0.004680765 0.004666333 0.0052099368 0.0051906942 0.0044546644 0.0021840364 0.0022129002 0.0021214979 0.001953125 0.0051858835 0.002352409 0.007018742 0.005094481 0.0057535404 0.0052532325 0.009597252 0.005416795 0.0063693044 0.0046615223 0.0066098366 0.004406558 0.004695197 0.00589786 0.005296529 0.0065424875 0.009909945 0.005003079 0.010073507 0.0066098366 0.00707647 0.008235837 0.005431227 0.004459475 0.00530615 0.004445043 0.005594789 0.0041756467 0.0037667411 0.0020397168 0.0028190424 0.00427667 0.0020445273 0.0039880313 0.0033434036 0.0024197584 0.0020685806 0.0020060423 0.0019098291 0.0021214979 0.0021263084 0.001953125 0.0024053263 0.0018809652 0.0019050185 0.002352409 0.002299492 0.0022513855 0.00206377 0.002020474 0.002366841 0.0018665333 0.0020108528 0.0019964208 0.0019771783 0.001953125 0.0019435037 0.0023091133 0.002395705 0.002352409 0.0017703202 0.0021792257 0.0021936577 0.00206377 0.0020541488 0.0021263084 0.0021407404 0.0022225215 0.0029874153 0.0021263084 0.0020782019 0.0018617226 0.0019867995 0.0021647937 0.0025592672 0.0022080897 0.0023043028 0.0020397168 0.0020974446 0.0019916103 0.0019146397 0.0021166871 0.0022658175 0.002174415 0.0021022551 0.00228506 0.0021407404 0.0019723675 0.00206377 0.0018665333 0.0019627463 0.0018569119 0.0018569119 0.0020252848 0.0020397168 0.0018953972 0.0027613146 0.0020108528 0.0020926339 0.0017751309 0.0020156635 0.0019194505 0.0016500539 0.0018039948 0.0019771783 0.0019242611 0.00228506 0.0019098291 0.0019964208 0.0018905866 0.002020474 0.001967557 0.0017703202 0.0034155634 0.0019098291 0.0018617226 0.00184248 0.0018665333 0.0018809652 0.0019483144 0.0019627463 0.0018472907 0.0021166871 0.0017943735 0.0017847521 0.0021792257 0.001981989 0.0026795336 0.0018617226 0.00213593 0.001953125 0.0019050185 0.001953125 0.0021503617 0.0019338824 0.0019579357 0.0019579357 0.0019867995 0.001938693 0.0018665333 0.0018761546 0.0020541488 0.0021599832 0.0020878233 0.001953125 0.001967557 0.0019435037 0.0019916103 0.0026554803 0.0019916103 0.0020589593 0.0017895628 0.0020445273 0.0023331665 0.0020445273 0.0019579357 0.0017991841 0.0020733913 0.0020397168 0.0025111607 0.0034684807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042325766 0.0007324219 0.00032632658 9.427212e-05 0.0015832882 0.00090887997 0.0071284226 0.00408996 0.0004399366 7.0099784e-05 1.9337871e-05 2.6589572e-05 1.6920638e-05 1.4503404e-05 7.976872e-05 3.8675742e-05 0.014435721 0.0031544901 0.0013343131 0.000413347 0.00052212254 0.00060189125 0.0004205987 0.00038917465 0.0014938506 0.00042301594 0.000413347 0.0001571202 0.0002489751 0.00019821318 0.00032632658 0.0002199683 0.07619363 0.012344814 0.019108234 0.0040947944 0.004297842 0.0032729348 0.009917911 0.010007349 0.002356803 0.0016461363 0.0013802405 0.0014503404 0.0010345761 0.0024510752 0.0012690478 0.0026396194 0.053713355 0.010367516 0.017280806 0.039101176 0.040237274 0.031943746 0.044723663 0.036889408 0.0027459778 0.0015518642 0.0018975287 0.0011747757 0.0007904355 0.0016171295 0.0011215965 0.001972463 0.018114751 0.004401783 0.002750812 0.00096689357 0.0011095103 0.0013899095 0.0033986308 0.0017452429 0.0016147123 0.00053904316 0.0008387802 0.0005704672 0.00058013614 0.00043751934 0.00048102954 0.00066473935 0.0060213297 0.0012932201 0.0005076191 0.00041818147 0.00053904316 0.00041092976 0.00062364637 0.000413347 0.0005825534 0.00053420867 0.0011070932 0.00063573255 0.00041576423 0.00032149212 0.00038675743 0.000640567 0.0016364674 0.00045927445 0.00010877552 0.00014019957 0.00013778234 0.00010877552 0.00023930616 0.0001498685 0.00014019957 0.00020788211 0.0005922223 0.00038192296 0.00013294787 9.910659e-05 0.00013294787 0.00028281636 0.0025453472 0.00059463957 0.0006913289 0.00037225403 0.0006574876 0.00054387766 0.0005873878 0.00047377785 0.00037225403 0.00035533338 0.00063089805 0.0006115602 0.0003650023 0.00033116105 0.00037467125 0.00039400914 0.027498454 0.027677327 0.027242227 0.027626567 0.029456412 0.0283324 0.028081005 0.027382426 0.027384844 0.028117266 0.027967397 0.028358988 0.02743077 0.027505705 0.02769425 0.027788522 2138.0 22.492516 48089.0 0.0009773545 0.00060304854 0.00047827986 0.022437563 0.011561896 0.00058225374 0.0018091456 0.00068622764 0.0009149702 0.000561459 0.0008941754 0.0006446381 0.00058225374 0.0012892762 0.0022250412 0.00058225374 0.01066772 0.011000437 0.011457922 0.010501362 0.011499511 0.010002287 0.011728254 0.010813284 0.011603485 0.011395537 0.0006238433 0.00058225374 0.0006238433 0.055917155 0.00047827986 0.0005198694 0.00047827986 0.017093306 0.011873817 0.013911705 0.012643224 0.013183888 0.011956996 0.012352097 0.011062821 0.013142299 0.011312358 0.012019381 0.011811433 0.011998586 0.012019381 0.0114787165 0.012331302 0.014286011 0.012664019 0.013682962 0.011956996 0.012310508 0.011062821 0.012081765 0.011374743 0.011083616 0.010688515 0.00060304854 0.000561459 0.0007070224 0.0007278172 0.014036474 0.0007486119 0.01915199 0.013142299 0.01684377 0.014036474 0.0330429 0.014681112 0.01715569 0.011956996 0.01906881 0.01070931 0.012497661 0.017010126 0.014327601 0.019214373 0.020794777 0.013225478 0.032460645 0.020025369 0.018611325 0.02559837 0.01480588 0.01158269 0.015180186 0.012081765 0.013558194 0.009960698 0.0004158955 0.00087338063 0.00087338063 0.0011853023 0.00043669032 6.0661764 0.0 0.0 0.0 12.0 207872.0 229376.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1424566100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 116736.0 512.0 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 -116736.0 0.0 90112.0 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 -6.601661 0.0 7.9979525 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 -116632.0 0.0 90032.0 0.0 0.0 0.0 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 87.0 124728.0 90032.0 139264.0 0.0 0.0 0.0 0.0 12.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0