Input: 0.35700122 0.006655649 0.0017878605 0.0026292067 0.0028921275 0.0016225962 0.0017052284 0.0020733173 0.0017803486 0.0015625 0.0014573317 0.0010441707 0.0010291466 0.001539964 0.0012995793 0.0021334135 0.002749399 0.00092397834 0.0008188101 0.0022911658 0.0009840745 0.001532452 0.0008263221 0.0011268029 0.001539964 0.0009840745 0.00077373796 0.00072866585 0.0016376202 0.00079627405 0.00089393026 0.0016826923 0.0040865387 0.0006911058 0.001179387 0.0009915866 0.003996394 0.0012545072 0.00080378604 0.0008864183 0.0017277644 0.0009840745 0.0006610577 0.00091646635 0.00080378604 0.001156851 0.0010667067 0.0010967548 0.0020883414 0.0010441707 0.0013146034 0.0012019231 0.001141827 0.0011042668 0.0011117789 0.0011944111 0.0016301082 0.001209435 0.001179387 0.0013446514 0.0015625 0.0013822116 0.002276142 0.0017728365 0.0028019832 0.0020733173 0.0012995793 0.0013371394 0.0036433293 0.0015474759 0.001156851 0.0014948918 0.00632512 0.0010967548 0.0014723558 0.0010366587 0.002351262 0.00084134616 0.001141827 0.0013296274 0.0014648438 0.0011944111 0.001554988 0.0012019231 0.001179387 0.0011192908 0.0010366587 0.001209435 0.0014197716 0.0008638822 0.0009465144 0.0011117789 0.0014948918 0.0010817308 0.001171875 0.0022686298 0.0015700121 0.0020883414 0.0018479567 0.0015700121 0.0017427885 0.010238882 0.0012394831 0.0011343149 0.0012244591 0.0020282452 0.00091646635 0.0010441707 0.0016451322 0.0015925481 0.0024864783 0.0022085337 0.0018704928 0.0013296274 0.0019230769 0.002711839 0.0028620793 0.0018479567 0.0010291466 0.003109976 0.0020958534 0.0015099159 0.004567308 0.0014047476 0.0016751803 0.001554988 0.0019155649 0.0017052284 0.002689303 0.0017352764 0.0012620193 0.002313702 0.0014347957 0.0015249399 0.0010591947 0.0009390024 0.0013146034 0.0021409255 0.0011268029 0.0032902644 0.0016301082 0.001539964 0.0008338341 0.0009990985 0.0010441707 0.0007061298 0.0013070913 0.0006159856 0.00078125 0.0007436899 0.001186899 0.0010591947 0.0009915866 0.00087139424 0.0009314904 0.001171875 0.0011192908 0.0010667067 0.0010066106 0.001532452 0.0012469952 0.0008789062 0.0014498197 0.0010066106 0.00079627405 0.0009014423 0.0008789062 0.0014047476 0.0020357573 0.0012319712 0.0009915866 0.0011192908 0.0045447717 0.0013371394 0.0010742188 0.0014122596 0.0014272836 0.0012394831 0.0008338341 0.001164363 0.0011343149 0.0011343149 0.0022536058 0.0014197716 0.00836839 0.0016376202 0.0013521635 0.0010591947 0.001141827 0.0012169471 0.0012394831 0.0064378004 0.0033203126 0.00096905045 0.0018704928 0.0014648438 0.0012695312 0.0010967548 0.001141827 0.0014498197 0.001945613 0.0010967548 0.0010441707 0.001209435 0.12147687 0.00077373796 0.0010892428 0.0014948918 0.0010967548 0.0010667067 0.0007361779 0.0010441707 0.0012394831 0.0010667067 0.0010441707 0.0025766226 0.0010216347 0.0010967548 0.0012319712 0.0013671875 0.0012469952 0.0014347957 0.0013146034 0.008991887 0.0022611178 0.0014047476 0.001554988 0.0015174279 0.0011192908 0.0019230769 0.0013822116 0.0017803486 0.0032527044 0.0017728365 0.001141827 0.0018704928 0.0015249399 0.001171875 0.0020582932 0.0014122596 0.0022986778 0.0014498197 0.0010141226 0.0030498798 0.0013897235 0.0015099159 0.039205227 0.0021108773 0.0023061899 0.0017503005 0.0017503005 0.0019155649 0.0021484375 0.0015625 0.0025015024 0.06693209 0.13160126 4.1636387e-05 3.785126e-06 0.0 3.4066135e-05 1.892563e-05 3.4066135e-05 1.892563e-05 1.892563e-05 1.892563e-05 3.785126e-05 1.1355378e-05 0.069687955 0.0 1.5140504e-05 7.570252e-06 0.022199763 0.00015140504 0.00014004965 8.7057895e-05 0.00046178536 0.00012490916 0.00015140504 0.0001021984 0.00025738857 4.542151e-05 5.2991763e-05 2.2710756e-05 0.0148036275 4.920664e-05 6.813227e-05 4.1636387e-05 0.01397847 6.813227e-05 2.6495882e-05 5.2991763e-05 0.00013247941 6.434714e-05 0.00011355378 7.191739e-05 1.892563e-05 1.1355378e-05 2.6495882e-05 1.892563e-05 3.4066135e-05 1.892563e-05 2.6495882e-05 0.00084029796 0.007729227 1.5140504e-05 0.0 0.0 1.5140504e-05 0.0 0.0 0.0 0.0 0.0 0.0 3.785126e-06 0.007729227 7.570252e-06 3.785126e-06 0.0 0.025848625 0.00035580184 0.000389868 0.00029902495 0.0002346778 0.00014004965 0.00065861194 0.0008175872 0.00032930597 0.000109768655 8.3272775e-05 0.00038608286 0.0005374879 0.0001021984 0.00010598353 0.0006094053 0.019050539 0.0003179506 0.00026874396 0.0001589753 0.00034066133 0.00037094235 0.0020363978 0.00073809957 0.0003633721 0.00013626454 7.948765e-05 0.0004693556 8.3272775e-05 0.0011468931 0.00016654555 0.013032189 0.016737826 7.570252e-05 6.813227e-05 0.0001589753 0.0002914547 0.00034823158 0.0007948764 0.000389868 9.084302e-05 6.0562015e-05 9.462815e-05 0.0004693556 0.00010598353 0.00038229773 0.00036715722 0.0028199188 0.0015632571 3.785126e-05 0.00035958696 0.00014004965 0.00050342176 5.677689e-05 0.0003974382 0.00041257872 0.000389868 4.1636387e-05 0.00015519017 0.00051477714 0.0055187135 7.191739e-05 8.7057895e-05 0.005253755 0.029762445 0.00017033066 0.0008289426 0.0012225957 0.00087814924 0.00085165334 0.004292333 0.0030583818 0.000571554 0.00041636385 0.0005072069 0.00073431444 0.0016881662 0.0041674236 0.0011658188 0.011699825 0.024800146 0.00054127304 0.00043150436 0.0014989099 0.0020250424 0.0011241824 0.004144713 0.0036072251 0.0011809593 0.00065861194 0.0014875545 0.0024451914 0.0041977046 0.0050266474 0.0031000182 0.036753573 0.037370548 0.0030243157 0.0012150254 0.0022445796 0.0038305474 0.0021158855 0.004538366 0.004682201 0.0018395712 0.0018812076 0.0027744973 0.0077897892 0.00180172 0.001892563 0.0024149104 0.021359466 0.024130179 0.0028426296 0.0028464147 0.0025738857 0.0055717053 0.0026268775 0.0037132085 0.003092448 0.0049244487 0.0014307776 0.0056890445 0.0069078547 0.013289577 0.0024716873 0.004296118 0.022120276 0.011041213 0.0011014716 0.0047200522 0.0024224806 0.005704185 0.0009349261 0.0027631419 0.0023240673 0.004273407 0.00045421513 0.00035580184 0.00095385173 0.01216161 0.00042771923 0.0018320009 0.002793423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0039743823 0.0008478682 0.0006094053 0.0007002483 0.0011847444 0.000571554 0.0006283309 0.0006396863 0.0007040334 0.0006283309 0.00059426477 0.00070781854 0.0008062318 0.0007040334 0.00093114097 0.0012718023 0.014875545 0.010674056 0.010481014 0.011162337 0.009879178 0.011029857 0.010363675 0.013289577 0.011033642 0.010352319 0.010458303 0.011843659 0.011298601 0.011309956 0.012691528 0.015303264 353.0 13.580736 4794.0 0.045264915 0.00062578224 0.010846892 0.00563204 0.0070921984 0.0008343763 0.002920317 0.0022945348 0.0018773467 0.0022945348 0.0031289111 0.0033375053 0.0031289111 0.010012516 0.0070921984 0.008343763 0.0066750105 0.0075093866 0.00563204 0.008135169 0.006466416 0.0073007927 0.007926575 0.0037546933 0.011889862 0.005423446 0.00563204 0.0020859407 0.008760951 0.0062578223 0.009595327 0.002711723 0.00563204 0.012098457 0.0010429703 0.009178139 0.015227367 0.013767209 0.0041718814 0.012307051 0.015018773 0.0043804757 0.018564872 0.0018773467 0.020233626 0.0016687526 0.0037546933 0.0070921984 0.010638298 0.00563204 0.02252816 0.005214852 0.0043804757 0.010012516 0.0062578223 0.0037546933 0.009803922 0.0016687526 0.002503129 0.005423446 0.015435962 0.0022945348 0.0014601585 0.019816438 0.007717981 0.030454734 0.02711723 0.017104715 0.020650813 0.048393827 0.008969545 0.0062578223 0.0066750105 0.025448477 0.0014601585 0.0033375053 0.016687525 0.013558615 0.02503129 0.021693785 0.015435962 0.005006258 0.022736754 0.02503129 0.03128911 0.011681268 0.0060492284 0.05319149 0.02503129 0.008135169 0.0037546933 0.0037546933 0.0037546933 0.0060492284 0.0033375053 0.0018773467 6.046187 1.0 1.0 0.0 3.0 133120.0 155648.0 1.0 0.0 47.0 1.0 1.0 0.0 0.0 0.0 1528787300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 23040.0 1024.0 4096.0 8.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 6656.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 -3584.0 95744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.59487474 0.0 0.0 0.0 0.0 0.0 0.0 -0.25630435 0.0 0.76350087 0.0 0.0 0.0 0.0 2.957731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44440532 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.766106 -3.062771 5.417941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -365.0 0.0 0.0 0.0 0.0 0.0 0.0 -283.0 0.0 6318.0 0.0 0.0 0.0 0.0 1164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2193.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23037.0 -3099.0 95609.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 45848.0 95609.0 53248.0 792.0 40960.0 0.0 0.0 36.0 151552.0 56.0 31696.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 31760.0 0.0 0.0 792.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.16273896 0.009825822 0.0067164204 0.005582103 0.010452399 0.003990456 0.004639707 0.0031219532 0.0072676865 0.0022101267 0.0033403947 0.0022380645 0.004316195 0.0031630502 0.00223604 0.005522381 0.00834795 0.002009298 0.0017649431 0.0016001503 0.0031249898 0.0021022218 0.00170846 0.0014424432 0.002919505 0.0013703717 0.0014343453 0.0013440534 0.0026870945 0.0013132812 0.0013209743 0.001406205 0.009576203 0.0013389922 0.0014944724 0.0013072079 0.0045852484 0.0015064168 0.0012181306 0.0014752398 0.0020175984 0.0013468877 0.0012762332 0.001868799 0.002224298 0.0018447076 0.0030344955 0.0016647313 0.0057199704 0.0033592223 0.0028944013 0.007700521 0.0030668871 0.002556718 0.002329571 0.0023961766 0.0036460916 0.0024682481 0.0030940154 0.0035043778 0.0032387658 0.0034007244 0.0026903336 0.002482622 0.007151684 0.0025785824 0.002626765 0.005332485 0.0041509974 0.014330293 0.0037244388 0.0029654608 0.0037760632 0.004365187 0.001617156 0.0017898442 0.0029059409 0.0036896178 0.0020941237 0.0023573064 0.007501514 0.003140376 0.0027990483 0.005703977 0.0036841517 0.0071365004 0.003589001 0.0039040104 0.002335442 0.0039046179 0.0024526594 0.0033671178 0.0023656068 0.0031000888 0.003147664 0.0028786105 0.0020710446 0.007912484 0.0032454466 0.00391636 0.007526213 0.00979262 0.0035025557 0.0027541048 0.005481284 0.0073263966 0.0037193778 0.0030873346 0.0069579408 0.0043639727 0.0076258173 0.0074419947 0.0049595754 0.0012296701 0.0063117263 0.0056385864 0.013472925 0.006000159 0.0021939308 0.0019856116 0.0027217132 0.0019926974 0.0014070148 0.0014092417 0.0022605362 0.002341313 0.0017872124 0.0017902491 0.0058191703 0.0016874055 0.0014495288 0.008006218 0.0033812893 0.0044791657 0.0015807153 0.0013217841 0.0023089214 0.008159876 0.0015292935 0.03670952 0.0016623018 0.007198247 0.0012193453 0.0013663226 0.002726167 0.0013371701 0.0013264404 0.0014189592 0.0014335355 0.0014566146 0.0011822972 0.0011391758 0.0016750561 0.0011950515 0.0010440252 0.0012090205 0.0015365815 0.0010689263 0.0011187285 0.0012213698 0.0016892275 0.002246365 0.0010790487 0.0014529704 0.0014841475 0.0014096466 0.0010146702 0.0010905883 0.0015218029 0.0011296608 0.0010189216 0.0010083943 0.0014541851 0.0010000939 0.0011772361 0.0011810826 0.003110211 0.0013292746 0.0018983565 0.0012503199 0.0015610778 0.0012185355 0.0022429232 0.001644284 0.0027806256 0.0020435117 0.002722523 0.0014254375 0.001593672 0.0011584084 0.0013843406 0.0014811108 0.008062296 0.0017311343 0.0021817838 0.0069974186 0.0028221274 0.0012711721 0.0036031725 0.002814232 0.0018696088 0.0019439072 0.0011867512 0.001364703 0.0018189967 0.0012774479 0.0013234037 0.0013223914 0.0027650371 0.0014394064 0.0026534882 0.001833573 0.001949171 0.0013061955 0.0017783047 0.0016161437 0.0038580548 0.0016477256 0.001661492 0.0023360495 0.002132184 0.001489816 0.0013920335 0.0016104751 0.0028996652 0.0017019818 0.0017248584 0.0014383942 0.002405894 0.0017357905 0.0013958801 0.0014574244 0.016924465 0.0036519624 0.0015317228 0.0043402864 0.0036586432 0.0016519771 0.0014991286 0.0015509553 0.0047844574 0.0016708047 0.001954637 0.0017161531 0.0034964823 0.0014280693 0.0023135776 0.0018866145 0.005498492 0.0019078715 0.0019811578 0.0021052584 0.007347856 0.0022767321 0.0031531302 0.0377993 0.0 0.0008295313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005820491 2.4100153e-05 5.468102e-06 3.7466625e-06 2.0252229e-07 1.3163949e-06 1.4176561e-06 2.0252229e-07 2.0252229e-07 1.0126114e-07 1.0126114e-07 1.4176561e-06 1.0126114e-07 1.0126114e-07 1.5189172e-06 1.0126114e-07 0.00019482644 0.00034995851 8.1008915e-07 2.0252229e-07 1.2151338e-06 3.453005e-05 3.2302305e-05 1.0126114e-07 2.025223e-06 1.7214395e-06 3.0378345e-07 4.0504457e-07 3.6454012e-06 1.0126114e-07 0.0 0.0 0.0011207584 0.00025021628 2.0252229e-07 3.0378345e-07 2.0252229e-07 4.2732205e-05 3.0175821e-05 2.0252229e-07 2.0252229e-07 2.0252229e-07 1.7214395e-06 2.0252229e-07 1.9239617e-06 2.0252229e-07 2.0252229e-07 2.2277452e-06 0.0025530972 0.0009282609 1.1138726e-05 8.2021525e-06 3.189726e-05 0.00025376043 3.2403566e-06 1.8227006e-06 0.00042620816 1.0126115e-06 7.999631e-06 6.683236e-06 2.025223e-06 2.9365733e-06 2.5315287e-06 0.000114222574 0.0010507869 7.999631e-05 1.2151338e-05 1.0834942e-05 1.9745923e-05 0.00011452636 2.025223e-06 1.8227006e-06 0.00017994105 2.5922853e-05 9.4172865e-06 1.1746293e-05 4.2833464e-05 1.9239617e-06 1.7214395e-06 9.366656e-05 0.0030518083 0.00012384239 0.0002530516 6.632605e-05 0.00019513023 0.00025730458 0.00073120673 0.0005280769 0.00016667585 8.181901e-05 4.263094e-05 0.00010115989 2.1872407e-05 1.3974039e-05 1.8834573e-05 0.00015300559 0.032264534 0.00037760282 0.003599935 0.0009533737 0.0019559604 0.0013772529 0.01613161 0.007258399 0.0002366473 0.00017882719 0.00017811835 0.00016687837 0.00015017028 8.4046755e-05 0.00022409092 0.00039552603 0.02605662 0.000565341 0.0027886308 0.003114894 0.0031553986 0.001297054 0.008640613 0.004034649 0.00012829788 0.000145411 0.00013153823 0.0002801896 0.0001443984 0.00022520479 0.00029740398 0.0012548282 0.009361492 0.0002981128 0.0013550767 0.0008821871 0.001312547 0.0006756144 0.0032977718 0.0014860074 0.00022398966 0.00010936204 0.00018885203 0.000497496 0.00047906648 0.000309049 0.00024373559 0.00084745453 0.006994006 0.0009916504 0.00058235286 0.00053901307 0.0014894502 0.00071662513 0.0031401082 0.0013952773 0.00036778048 0.00016566324 0.00012282978 0.00020464878 0.00021872408 0.0005239252 0.00035299637 0.00085940334 0.017743992 0.002241618 0.0024022183 0.018246347 0.0049650366 0.0031589428 0.00783022 0.0043150415 0.0026384604 0.0014162384 0.0013616587 0.0015872684 0.0016768846 0.0016237225 0.0018652303 0.0034513848 0.021444276 0.0016301019 0.0019381384 0.0021334712 0.005204114 0.0039061487 0.007618281 0.0040567243 0.005032173 0.0009179323 0.0007244222 0.0015559788 0.0020925617 0.0014520849 0.0025393257 0.0045315376 0.055493943 0.0068633794 0.0058817538 0.0068666195 0.01654435 0.01585456 0.012775005 0.010373799 0.031687245 0.0035633799 0.002702255 0.0060332404 0.0105076665 0.00631667 0.0136581035 0.0259025 0.044506807 0.007848549 0.0066529587 0.008708661 0.017949652 0.020892302 0.013004058 0.0107114045 0.03432439 0.0035384696 0.0036783111 0.0061340965 0.013732125 0.008813264 0.017623996 0.029910821 0.014908982 0.0124870185 0.012287129 0.013007096 0.012637391 0.012434565 0.013487984 0.013335181 0.0124824615 0.011941424 0.011805227 0.012264244 0.012521143 0.01210172 0.012748779 0.013821742 29432.0 12.544271 369203.0 0.022256048 0.0015438661 0.003545475 0.0016359563 0.004122393 0.0024078893 0.0015547003 0.0015194893 0.003450676 0.0016684588 0.0015790771 0.00259207 0.0037431982 0.0046234727 0.009217151 0.003732364 0.016939191 0.012635325 0.010175974 0.0114652375 0.009520507 0.008380214 0.008290832 0.00838563 0.011519408 0.008596896 0.013282666 0.0081445705 0.010444119 0.0073807635 0.008044355 0.0062865145 0.0032339932 0.009111519 0.006925729 0.015365531 0.011990693 0.009038388 0.009924079 0.005855857 0.007954974 0.0117387995 0.0016982527 0.001725338 0.008358546 0.0065275743 0.0045313826 0.008177074 0.009401332 0.00440679 0.0066602924 0.014691105 0.017602783 0.0055606267 0.0038894592 0.005530833 0.0048347386 0.006470695 0.0022128748 0.0050270446 0.005549792 0.0047263973 0.00527623 0.0057881437 0.0029820993 0.03790056 0.009970125 0.01692294 0.023396343 0.056627385 0.0073726377 0.013038897 0.016102253 0.034073398 0.0023997638 0.006692795 0.024636853 0.0170692 0.042448193 0.04241569 0.017694872 0.0017117955 0.032543074 0.024130356 0.05741015 0.0141819 0.005335818 0.00673884 0.008832539 0.0072697136 0.0024268492 0.0015140722 0.003575269 0.0013136405 0.0014111478 0.0013894795 6.000012 0.0 117.0 0.0 31.0 4939536.0 5185536.0 0.0 1.0 733.0 1.0 1.0 1.0 1.0 0.0 1541498100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 2825728.0 1024.0 4096.0 10.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -160768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128000.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -2817024.0 -20480.0 1789440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6801867 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.3824372 -6.190282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.548696 0.0 0.0 0.0 0.0 0.0 3.7547648 0.0 0.0 -6.449936 -5.345497 7.190295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 -160732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -8700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 231600.0 0.0 0.0 -127888.0 0.0 0.0 0.0 0.0 0.0 82.0 0.0 0.0 -2816964.0 -19974.0 1789248.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 2.0 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 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 2.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -4.0 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 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 4.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 2.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -3.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 2.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -5.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 2.0 -1.0 -1.0 -1.0 -1.0 0.0 -2.0 -1.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -3.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -3.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82.0 3219456.0 19974.0 3198976.0 1789248.0 3395584.0 0.0 0.0 13072.0 4926464.0 160732.0 3231744.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3227648.0 0.0 0.0 0.0 0.0 3064.0 3202720.0 0.0 0.0 0.0 0.0


Input: 0.9513087 0.0005104465 0.00032795971 0.00031590872 0.00079881004 0.00021261431 0.00027889488 0.00019712016 0.000504421 0.00011964935 0.00016354947 7.488844e-05 0.00032107343 7.833159e-05 9.382575e-05 0.000322795 0.00035120096 8.866103e-05 6.0255068e-05 4.2178548e-05 0.00017043577 9.899047e-05 5.5951135e-05 4.9925628e-05 0.000117927775 3.7874615e-05 4.390012e-05 3.9596187e-05 0.00014461216 4.9925628e-05 5.422956e-05 3.9596187e-05 0.00019281622 2.5823601e-05 3.5292254e-05 2.6684387e-05 0.0006851862 0.0004897876 1.9798093e-05 2.5823601e-05 5.7672707e-05 8.780024e-05 5.0786413e-05 8.4357096e-05 9.296496e-05 7.316687e-05 5.422956e-05 2.324124e-05 0.00016354947 0.00017301812 6.1115854e-05 0.00036066963 5.9394282e-05 3.615304e-05 3.87354e-05 3.443147e-05 0.00011964935 7.661001e-05 0.00016699261 0.00018162599 0.00031935185 0.00011276305 4.7343266e-05 4.5621695e-05 0.0012051014 0.00012395329 8.0913946e-05 0.00010845912 0.0002642615 0.00095461245 0.00031418714 0.00015063767 0.00011104148 6.7141365e-05 8.5217885e-05 4.476091e-05 0.000121370926 0.00015063767 0.00026253995 0.0010363872 0.0004717111 0.000121370926 0.00010157283 0.0003933795 0.0001420298 0.00046998952 0.0003116048 0.00019798095 0.00010673755 0.00032623817 0.00018679071 0.00030902243 7.9192374e-05 0.0002392987 0.00024704577 0.00017646127 3.9596187e-05 0.00013772587 2.840596e-05 5.250799e-05 0.00030041457 0.00012395329 0.00022896926 3.1849107e-05 0.0003615304 8.2635524e-05 0.00018334757 3.0127534e-05 9.296496e-05 5.5951135e-05 7.574923e-05 0.00011448463 9.03826e-05 3.098832e-05 0.0002840596 0.0001549416 0.00076696096 0.00050872494 0.00012997878 0.000120510136 0.00012911801 0.00010501598 2.9266748e-05 2.7545175e-05 0.00014547295 0.0001420298 8.0913946e-05 0.00010759834 0.00035378334 0.00016096712 2.1519667e-05 0.0006378429 0.00022122217 0.00042953255 3.443147e-05 3.443147e-05 0.00011706699 0.0010217538 0.00017818285 0.003329523 5.9394282e-05 0.00057328393 3.7874615e-05 3.87354e-05 0.0001876515 1.9798093e-05 2.9266748e-05 2.0658881e-05 5.5951135e-05 4.390012e-05 1.6354947e-05 1.7215734e-05 3.9596187e-05 2.7545175e-05 1.3772587e-05 3.9596187e-05 4.8204056e-05 2.0658881e-05 1.9798093e-05 2.324124e-05 5.3368774e-05 0.00015063767 2.9266748e-05 9.124339e-05 5.8533496e-05 3.1849107e-05 2.4962814e-05 1.9798093e-05 5.5951135e-05 2.840596e-05 4.390012e-05 2.6684387e-05 5.7672707e-05 2.1519667e-05 2.6684387e-05 1.9798093e-05 0.000115345414 3.7013826e-05 6.0255068e-05 4.0456973e-05 5.422956e-05 1.9798093e-05 3.0127534e-05 5.9394282e-05 0.00017215734 0.00011104148 0.00012911801 4.2178548e-05 4.3039334e-05 1.549416e-05 3.2709893e-05 4.1317762e-05 0.0011698091 9.7268894e-05 0.00017646127 0.000843571 0.00021691824 5.422956e-05 0.00026942624 0.00018162599 0.00013428273 0.00010931991 3.9596187e-05 5.1647203e-05 7.833159e-05 3.098832e-05 4.7343266e-05 4.3039334e-05 0.00016527105 7.230608e-05 0.0001876515 0.00010501598 0.00012223171 2.840596e-05 8.4357096e-05 7.316687e-05 0.00031590872 0.00010157283 7.9192374e-05 0.00017646127 0.00013858666 3.615304e-05 4.1317762e-05 6.197664e-05 9.640811e-05 4.3039334e-05 6.800215e-05 3.9596187e-05 9.296496e-05 7.74708e-05 3.7013826e-05 3.443147e-05 0.0014900217 0.00024790657 5.509035e-05 0.00043727964 0.00025995757 3.5292254e-05 4.906484e-05 3.7874615e-05 0.00036583433 0.00011964935 0.00017129655 8.607867e-05 0.00017990441 4.1317762e-05 9.899047e-05 0.00012223171 0.00037013827 0.00014461216 0.0001101807 0.00013686508 0.00047343268 0.00010673755 0.0002324124 0.0043366435 0.9435128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004981934 8.1883e-06 7.3263736e-06 1.0774079e-05 1.9824305e-05 3.3184162e-05 1.1636005e-05 1.4652747e-05 7.5849515e-05 7.757337e-06 3.4477052e-06 6.4644473e-06 2.8012604e-05 1.0343116e-05 3.6631867e-05 0.00011032657 0.001321764 6.55064e-05 4.3096315e-05 0.00017454008 0.00033615125 3.706283e-05 0.00016678275 0.00013359857 0.000116360054 1.7238526e-05 1.0343116e-05 1.1205042e-05 6.421351e-05 8.576167e-05 1.63766e-05 4.783691e-05 0.00066626904 3.1029347e-05 9.481189e-06 0.00010687886 0.00028012606 6.162773e-05 0.00016462793 0.00011334331 6.119677e-05 9.481189e-06 1.5945636e-05 1.3790821e-05 4.5682093e-05 5.6887136e-05 3.0598385e-05 9.8259596e-05 0.00011894583 8.1883e-06 0.00011894583 6.8954105e-06 0.00011722198 6.033484e-06 5.171558e-06 0.00011549812 0.00011549812 5.602521e-06 6.8954105e-06 6.8954105e-06 0.00011765294 6.8954105e-06 6.8954105e-06 0.00011937679 0.0038575511 0.00045897576 0.0007753027 0.00056800945 0.0018936521 0.0011420524 0.0005942982 0.00091622764 0.0022431633 0.00015212999 0.00018229742 0.00029090012 0.0010868891 0.00036631868 0.0009145038 0.002209979 0.005674923 0.00086623593 0.00106491 0.0011299854 0.0024302013 0.0025982768 0.0009864747 0.0015544841 0.004645783 0.00043096315 0.00052189635 0.00067187153 0.0022004978 0.001264015 0.0020987906 0.004517356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 215.0 10.153488 2183.0 0.01145213 0.0 0.0004580852 0.0 0.016491067 0.0004580852 0.0 0.0004580852 0.002290426 0.0027485113 0.010077874 0.0 0.002290426 0.006871278 0.0032065965 0.0013742556 0.0004580852 0.002290426 0.002290426 0.002290426 0.0018323408 0.0 0.0 0.0 0.0004580852 0.0018323408 0.0009161704 0.0036646817 0.002290426 0.0018323408 0.0 0.0004580852 0.016949153 0.008703619 0.006413193 0.009161704 0.006871278 0.039853413 0.01053596 0.0032065965 0.0059551075 0.010994045 0.0009161704 0.0004580852 0.0073293634 0.01053596 0.0059551075 0.011910215 0.008703619 0.0073293634 0.008703619 0.02198809 0.010994045 0.009619789 0.026568942 0.009619789 0.0032065965 0.020613834 0.011910215 0.018323408 0.004580852 0.013284471 0.017865323 0.018323408 0.0004580852 0.05909299 0.004580852 0.016491067 0.026110856 0.050847456 0.008245533 0.0059551075 0.0077874484 0.03069171 0.004580852 0.0036646817 0.027027028 0.014200642 0.032065965 0.047182776 0.01053596 0.0 0.08612002 0.018323408 0.05542831 0.009619789 0.009161704 0.0054970225 0.006413193 0.010994045 0.0004580852 0.0 0.0004580852 0.0004580852 0.0004580852 0.0009161704 5.575672 0.0 0.0 0.0 1.0 1161728.0 1191936.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 971776.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -65536.0 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 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -971776.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 92160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7162585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -65216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 8637.0 0.0 0.0 0.0 0.0 0.0 -18364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -971460.0 0.0 0.0 0.0 0.0 0.0 0.0 -11788.0 92160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11788.0 1011712.0 92160.0 1097728.0 0.0 0.0 0.0 0.0 65216.0 1032192.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1028096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.28306842 0.007644127 0.0031654094 0.0025255927 0.009445717 0.0023572198 0.002020474 0.0021214979 0.009513066 0.0018015894 0.0014985183 0.0012627963 0.0062466324 0.0011449354 0.00085870153 0.0028286637 0.0077619883 0.0016500539 0.0021720098 0.0009092134 0.0024919182 0.0039230874 0.0008418642 0.00065665407 0.0019194505 0.0008755388 0.00075767783 0.00069032866 0.0020878233 0.0006734914 0.0006398168 0.0009933998 0.0033674568 0.00095972524 0.0013974946 0.00055563037 0.0024245689 0.0016163794 0.0012964709 0.0010439117 0.0022730334 0.00092605065 0.0009933998 0.0019699624 0.002070986 0.005758351 0.0017174031 0.0012627963 0.005169046 0.0033001078 0.0037378771 0.008351293 0.0041588093 0.0028623384 0.0026771282 0.0024750808 0.003131735 0.0035863416 0.0021551724 0.005337419 0.0032495959 0.0024919182 0.0026434537 0.0023908943 0.0323781 0.002306708 0.0013806573 0.00254243 0.0023403824 0.008974273 0.0038220636 0.0013469828 0.0022730334 0.0014648438 0.0007408405 0.0010270744 0.002660291 0.004613416 0.0024750808 0.0011112607 0.008418642 0.0020373114 0.001953125 0.004024111 0.0025255927 0.0040914603 0.0045460667 0.0041251346 0.00136382 0.0020541488 0.00062297954 0.0011280981 0.0022393588 0.0030643858 0.0028286637 0.0021046605 0.0011280981 0.0041924836 0.0010270744 0.002778152 0.0033506197 0.009243669 0.0033674568 0.0012964709 0.0070716594 0.0036536907 0.0037378771 0.0011786099 0.0052363956 0.0026266163 0.004680765 0.004377694 0.003013874 0.00047144396 0.006684402 0.004562904 0.00936153 0.0093952045 0.0017174031 0.00085870153 0.0026266163 0.0014985183 0.00095972524 0.00028623384 0.001835264 0.0022225215 0.0013806573 0.00038725755 0.0032832704 0.00079135236 0.00025255926 0.005741514 0.0014311692 0.0076609645 0.00023572198 0.00016837285 0.00085870153 0.0073578935 0.0004209321 0.024902344 0.0015321929 0.010893723 0.00023572198 0.0003367457 0.0010775862 0.00016837285 0.00020204742 0.0004377694 0.0010270744 0.00026939655 0.00015153555 0.00013469828 0.0012122844 0.00015153555 0.00011786099 0.00018521013 0.00092605065 0.00062297954 0.00020204742 0.00035358296 0.0011112607 0.00089237606 0.0004546067 0.00058930495 0.00065665407 0.0011280981 0.0002188847 0.00013469828 0.0011112607 0.00015153555 0.0002188847 0.00037042025 0.0010607489 0.00018521013 0.00018521013 0.0002188847 0.0009765625 0.0003367457 0.02914534 0.00023572198 0.00072400324 0.0013133081 0.0005387931 0.0011786099 0.0033001078 0.0007071659 0.00052195584 0.00055563037 0.00095972524 0.00072400324 0.00075767783 0.00037042025 0.006566541 0.0013133081 0.0033842942 0.002896013 0.0019026131 0.0005387931 0.0019026131 0.0029296875 0.0026771282 0.002138335 0.0007745151 0.00075767783 0.030509159 0.0009428879 0.0009933998 0.00052195584 0.0020541488 0.00075767783 0.0017005657 0.0005724677 0.0022056843 0.00055563037 0.0008081897 0.0006398168 0.0021214979 0.0002188847 0.00026939655 0.00058930495 0.0016332166 0.0017679149 0.0011280981 0.00069032866 0.0018689386 0.0003367457 0.00035358296 0.0002188847 0.0020878233 0.00018521013 0.0003367457 0.0008081897 0.012813173 0.0025087553 0.00047144396 0.0028791756 0.0056741647 0.0002188847 0.00040409484 0.0003030711 0.0038894126 0.0020373114 0.00035358296 0.00079135236 0.001953125 0.0010607489 0.0018857758 0.00095972524 0.0033506197 0.0011954472 0.00058930495 0.0012796336 0.005152209 0.002138335 0.0016332166 0.05872845 0.03508772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013680441 0.00011992873 0.00012849507 0.0021501507 0.00015419407 0.00011992873 7.709704e-05 8.566338e-05 0.0001370614 8.566338e-05 6.85307e-05 0.00015419407 0.00014562774 0.0001370614 0.00016276042 0.0001370614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.032440722 0.00017132676 0.0029296875 0.0005568119 0.004188939 0.0016361705 0.0063305236 0.0037520558 1.7132676e-05 1.7132676e-05 1.7132676e-05 0.00047114858 1.7132676e-05 1.7132676e-05 3.426535e-05 3.426535e-05 0.020447848 0.0002741228 0.0016704359 0.0002998218 0.0028611568 0.0007024397 0.0021672836 0.0016104715 0.0002484238 0.0003169545 7.709704e-05 0.0019017269 0.00048828125 0.00018845942 6.85307e-05 0.0017646656 0.046001233 0.0016361705 0.00355503 0.0024671052 0.007486979 0.0026469983 0.010382402 0.0052682976 0.0006938733 0.00044544955 0.0005054139 0.0040690103 0.0013363487 0.00035978618 0.00047114858 0.00039405155 0.06547252 0.0033837033 0.0051398026 0.004086143 0.012823808 0.0054224916 0.016832853 0.008994655 0.0008823328 0.00087376643 0.000685307 0.0072642546 0.0033837033 0.00080523576 0.000659608 0.0036406936 0.033854168 0.0035807292 0.0057737115 0.032312226 0.009594298 0.0037948876 0.00650185 0.0042232047 0.0026298657 0.0020730537 0.0023129112 0.0072899535 0.0022786458 0.002133018 0.0022786458 0.0021758499 0.017021313 0.0013363487 0.00243284 0.0024499726 0.004642955 0.0018417626 0.004574424 0.0027240955 0.0018760279 0.00043688322 0.00035978618 0.0043431334 0.0027069626 0.00096799614 0.001447711 0.0034693668 0.018212033 0.005148369 0.0017560993 0.0041204086 0.0077953674 0.00947437 0.0030239173 0.0055938186 0.020507812 0.00095086347 0.0015762062 0.005156935 0.014494243 0.0050113075 0.0097227935 0.027806332 0.045684278 0.013774671 0.00659608 0.010228207 0.023026315 0.022229647 0.0098084565 0.015676398 0.040064763 0.0020901863 0.003092448 0.01223273 0.036843818 0.008369312 0.017021313 0.04905085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 326.0 13.444785 4383.0 0.015514487 0.0009126169 0.0011407712 0.0 0.0041067763 0.0031941594 0.0009126169 0.0011407712 0.007300935 0.00045630845 0.0013689254 0.0006844627 0.0034223134 0.0022815424 0.0054757018 0.0 0.021674652 0.012092174 0.014373717 0.015514487 0.015058179 0.008441706 0.0123203285 0.014145562 0.017111568 0.013004791 0.00912617 0.020305727 0.013004791 0.010495095 0.009582478 0.011407712 0.012548483 0.00912617 0.0020533882 0.009582478 0.008898015 0.008669861 0.010038787 0.0054757018 0.00912617 0.004563085 0.0006844627 0.0031941594 0.009582478 0.0036504676 0.0020533882 0.0038786219 0.015058179 0.0031941594 0.0068446267 0.010495095 0.00912617 0.0034223134 0.0059320102 0.009354323 0.007072781 0.0027378509 0.00045630845 0.0022815424 0.0118640205 0.0013689254 0.0018252338 0.0077572437 0.005703856 0.026237737 0.0027378509 0.024412503 0.019849418 0.07757244 0.0066164727 0.008441706 0.0134611 0.030116359 0.004563085 0.0038786219 0.031941593 0.018708646 0.034223136 0.033538673 0.01939311 0.00022815423 0.047684234 0.023956195 0.04540269 0.015742643 0.0041067763 0.0029660051 0.015058179 0.00912617 0.0011407712 0.0011407712 0.0034223134 0.00022815423 0.0009126169 0.0 5.8742695 0.0 0.0 0.0 2.0 59392.0 69632.0 1.0 5.0 90.0 1.0 1.0 0.0 0.0 0.0 1537670300.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 49152.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.130388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6271791 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0350976 0.0 3.3744125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48656.0 0.0 968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 52592.0 120.0 50484.0 968.0 57344.0 0.0 0.0 0.0 0.0 3552.0 61440.0 28.0 4528.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 20816.0 0.0 0.0 380.0 4096.0 64.0 49972.0 0.0 0.0


Input: 0.14267267 0.0086446395 0.004192812 0.0034294638 0.0062512374 0.003954966 0.0020322748 0.0019637852 0.007896234 0.0015129987 0.0017047698 0.0015080177 0.004581335 0.0013747741 0.0012328138 0.0038964387 0.006174031 0.0015080177 0.0011892294 0.0008978371 0.0024755897 0.0019862 0.00076957466 0.0008281022 0.0023124598 0.000757122 0.00083308324 0.0007135377 0.0016213369 0.0006064448 0.0005964826 0.0005678415 0.003898929 0.000589011 0.00065501017 0.0005454267 0.0041741333 0.0013237182 0.00046697492 0.0005641057 0.0011892294 0.0006562554 0.0005865205 0.0009476477 0.0011107776 0.0023535537 0.0006799155 0.00052052137 0.00537457 0.0028715844 0.0029512814 0.0103842765 0.0030309786 0.0021206888 0.0024643822 0.0017794857 0.0035328208 0.0021929143 0.00071851874 0.0014905839 0.0016761286 0.00098127 0.00046822018 0.0005317288 0.0118412385 0.0039512306 0.0049300096 0.00887875 0.0038914576 0.032750506 0.0032875033 0.0027246429 0.0034033132 0.0035689336 0.002201631 0.0023684967 0.0027258883 0.0044132243 0.0011668146 0.0015403946 0.00911286 0.0021568015 0.0020683876 0.009813945 0.0032239947 0.013919588 0.0032414284 0.002108236 0.0019376345 0.006552592 0.0027582652 0.0032787865 0.001575262 0.004664768 0.0023921567 0.0036262157 0.005799206 0.004459299 0.001767033 0.0032688244 0.009324555 0.006165314 0.004024701 0.0015802431 0.007837707 0.0042463588 0.0037681763 0.0013872269 0.0035128966 0.0017645425 0.0044642803 0.004055833 0.003126864 0.0017159771 0.0050508007 0.0039014197 0.010251033 0.0055825296 0.0018529565 0.0010958344 0.002818038 0.001271417 0.0005342193 0.00059399207 0.001663676 0.002534117 0.0010696838 0.0008804034 0.005277439 0.0011655694 0.0010958344 0.009121576 0.0031418072 0.0032476548 0.0010410427 0.0006226332 0.0026798134 0.015286891 0.0022477058 0.052062098 0.0012041726 0.011071664 0.0008629696 0.00068489654 0.002673587 0.00044705064 0.00073221663 0.0006500291 0.001130702 0.00094266667 0.0015217155 0.0005715773 0.0011817579 0.00059274683 0.00050308765 0.00071727345 0.000962591 0.00047942757 0.00046822018 0.00042214533 0.00090281817 0.003351012 0.00046946545 0.0025677395 0.0014333017 0.0008231211 0.0005678415 0.00045576753 0.0010534954 0.0004607486 0.0005130498 0.000490635 0.0008530075 0.00045327697 0.0007471599 0.00066248176 0.0013336804 0.0006898776 0.0017421277 0.0005404456 0.00088413915 0.0006749344 0.00071727345 0.0015902052 0.0031716935 0.002551551 0.004682202 0.00082934747 0.0010074206 0.00048316337 0.00085923384 0.000719764 0.012077839 0.0011568525 0.0023024976 0.010419144 0.0043870737 0.001065948 0.0035813863 0.0033908605 0.0018828429 0.0017769953 0.0009899868 0.0013112655 0.0016935624 0.00089908234 0.0009987036 0.000948893 0.0028939992 0.0011580978 0.0029948659 0.0013623214 0.0018255606 0.0007733104 0.0016151106 0.0008816486 0.0033908605 0.00065874594 0.001093344 0.00179941 0.0015067724 0.0007234998 0.0005665962 0.0008480264 0.0024556655 0.00066248176 0.00088413915 0.0009974585 0.0024494391 0.0024481937 0.00055414357 0.0006985945 0.027796837 0.006066938 0.0011008155 0.005939921 0.0065774973 0.0010497596 0.00068489654 0.00075961254 0.0072922804 0.0009837605 0.0018292964 0.00092523295 0.009200028 0.0021854425 0.0041243224 0.0026113237 0.010136468 0.0030745629 0.0030944871 0.0036374233 0.014990517 0.004023456 0.0043310365 0.06940492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010185934 0.0 0.0 0.004505533 0.0031884827 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012185206 0.0 0.0 0.0007838691 0.0005518888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.516926 82969.0 0.005640661 0.00013257963 0.0005785293 9.642156e-05 0.003471176 0.000590582 0.00013257963 0.00018079042 0.0004097916 0.0004218443 0.00075931975 0.00060263474 0.0005182659 0.014764551 0.0011691113 0.00048210777 0.022562644 0.018850414 0.023635333 0.014607865 0.01865757 0.016295243 0.019826682 0.012860225 0.021996167 0.01646398 0.0008557413 0.00053031853 0.0009883209 0.00055442395 0.000120526944 0.00014463233 0.0014101652 0.008834625 0.0076655135 0.01502971 0.0073883017 0.016705034 0.0048933937 0.0031819113 0.00509829 0.018223673 0.0025431185 0.0041340743 0.007062879 0.0069061937 0.0045920764 0.009545734 0.013366438 0.0027118563 0.006195085 0.021200689 0.0135351755 0.0064843497 0.006110716 0.0036158082 0.002880594 0.005544239 0.001578903 0.0030975426 0.0012052695 0.0028926467 0.0030131736 0.022984488 0.00026515927 0.031795006 0.013294122 0.02746809 0.026744928 0.054369703 0.012173221 0.010546108 0.018500885 0.035483133 0.007966831 0.006821825 0.024406707 0.012197327 0.038906097 0.034964867 0.018549096 0.0027118563 0.040846583 0.029480891 0.04231701 0.011148742 0.01131748 0.0056647663 0.013752124 0.0069182464 0.0010847425 0.00030131737 0.0005664766 0.00026515927 0.00031337005 0.00032542273 5.7808657 0.0 2.0 14.0 4.0 803041.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5766697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.352072 0.027683424 0.019361412 0.0077275815 0.008491848 0.0069633154 0.014096468 0.0041610054 0.01061481 0.003736413 0.016474186 0.0014436141 0.0020380435 0.002122962 0.0028023098 0.00084918475 0.0029721467 0.0023777173 0.005519701 0.0029721467 0.00050951086 0.0016983695 0.0018682065 0.0007642663 0.0017832881 0.00067934784 0.0013586957 0.00050951086 0.0015285326 0.00033967392 0.001613451 0.0007642663 0.0078125 0.0023777173 0.0007642663 0.0022927988 0.0012737772 0.0016983695 0.00084918475 0.0005944293 0.0051800273 0.0007642663 0.004076087 0.0010190217 0.0015285326 0.0012737772 0.011039402 0.00050951086 0.0073029893 0.005264946 0.001613451 0.0015285326 0.0022927988 0.0009341033 0.0039911685 0.0012737772 0.0011888586 0.0015285326 0.00050951086 0.0015285326 0.0007642663 0.0005944293 0.00042459238 0.0014436141 0.0012737772 0.0051800273 0.0030570652 0.0053498643 0.004076087 0.0012737772 0.0020380435 0.002462636 0.002632473 0.003396739 0.0010190217 0.0005944293 0.0010190217 0.003396739 0.002632473 0.00390625 0.005519701 0.00050951086 0.0028023098 0.007982337 0.002462636 0.00084918475 0.002632473 0.0015285326 0.00042459238 0.00042459238 0.00025475543 0.0009341033 0.0005944293 0.00042459238 0.0 0.007218071 0.0009341033 0.014181386 0.0071331523 0.01171875 0.005519701 0.040930707 0.0038213315 0.005689538 0.0050101904 0.02173913 0.0009341033 0.0031419836 0.013247282 0.010360055 0.014775815 0.018257473 0.0088315215 0.00033967392 0.02403193 0.016644021 0.02734375 0.011633831 0.0016983695 0.0018682065 0.0012737772 0.009086277 0.0014436141 0.001613451 0.00025475543 0.0038213315 0.0011888586 0.00033967392 0.0043308423 0.0014436141 8.491848e-05 0.0015285326 0.0005944293 0.00050951086 0.00050951086 0.0 0.0 0.00067934784 0.00050951086 0.0012737772 0.00033967392 0.00050951086 0.00016983696 8.491848e-05 0.00025475543 0.0009341033 0.00042459238 0.00033967392 0.0 0.00025475543 0.0005944293 0.0 0.00033967392 0.001953125 0.00042459238 0.00042459238 0.00016983696 0.0007642663 8.491848e-05 0.00016983696 0.00042459238 0.0009341033 0.0009341033 0.00067934784 8.491848e-05 0.00016983696 0.00042459238 0.00016983696 0.00016983696 0.00042459238 0.0 0.0005944293 0.00016983696 0.00025475543 0.00016983696 0.00025475543 0.0007642663 0.00033967392 0.00042459238 0.00016983696 0.00042459238 0.00050951086 0.0014436141 0.00050951086 0.00042459238 0.00042459238 0.00033967392 0.0005944293 0.00016983696 0.00033967392 0.00025475543 0.0 0.00025475543 0.00050951086 0.0 0.00050951086 0.0017832881 0.0 0.00067934784 0.0 0.00025475543 0.00025475543 0.00033967392 0.00025475543 0.00033967392 0.00033967392 0.00016983696 0.00033967392 0.00025475543 0.0005944293 0.0 0.00016983696 0.00033967392 0.00042459238 0.00016983696 0.00050951086 0.00033967392 0.00042459238 0.00025475543 0.00016983696 0.0 0.00025475543 0.0 0.0005944293 0.0007642663 0.0 0.00016983696 0.00050951086 8.491848e-05 0.00016983696 8.491848e-05 8.491848e-05 0.00033967392 0.00025475543 8.491848e-05 0.0 8.491848e-05 0.00033967392 0.00016983696 0.00016983696 8.491848e-05 8.491848e-05 0.00016983696 0.00033967392 0.00033967392 8.491848e-05 0.0 0.0 0.0007642663 0.00016983696 8.491848e-05 8.491848e-05 0.00050951086 0.00025475543 0.00033967392 0.00033967392 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005566406 0.0 0.0010742188 0.0 0.009277344 0.0065429686 0.049316406 0.028222656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.19770508 0.009472656 0.020117188 0.010205078 0.015429688 0.014550781 0.069726564 0.044433594 0.0033203126 0.0032714843 0.0018554687 0.003125 0.0022949218 0.0018066406 0.0011230469 0.0015625 0.12211914 0.007373047 0.011425781 0.008740234 0.0069335937 0.0044921874 0.006640625 0.010449219 0.0044921874 0.0034667968 0.002734375 0.0031738281 0.0029296875 0.0020996095 0.0015625 0.0013671875 0.111328125 0.012451172 0.011474609 0.015429688 0.014941406 0.012060547 0.06738281 0.039794922 0.0060058595 0.0013183594 0.001953125 0.0015136718 0.0015625 0.0011230469 0.00092773436 0.0007324219 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 191.0 17.759163 3392.0 0.005601415 0.00029481133 0.0 0.0014740566 0.00029481133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014740566 0.0014740566 0.023879716 0.0 0.009139151 0.007370283 0.0020636793 0.002653302 0.0029481133 0.0014740566 0.001768868 0.0014740566 0.00029481133 0.002653302 0.0 0.0 0.00029481133 0.0011792453 0.00029481133 0.00029481133 0.00029481133 0.014740566 0.0058962265 0.0138561325 0.0067806602 0.0032429246 0.002653302 0.0058962265 0.0038325472 0.0058962265 0.0 0.0011792453 0.0011792453 0.0097287735 0.006485849 0.009433962 0.014445755 0.0 0.007075472 0.02004717 0.007075472 0.001768868 0.0050117923 0.0044221696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019162735 0.0011792453 0.039209906 0.021521226 0.0339033 0.016214622 0.1223467 0.008254717 0.018278303 0.009433962 0.05542453 0.0023584906 0.006485849 0.03301887 0.028301887 0.04038915 0.045990568 0.017688679 0.00029481133 0.063089624 0.04893868 0.08166274 0.036261793 0.0058962265 0.003537736 0.001768868 0.016509434 0.003537736 0.0 0.0 0.0 0.0 0.0 5.055224 0.0 0.0 0.0 1.0 11776.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542003700.0 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 80.0 0.0 4.0 0.0 4.0 0.0 9728.0 512.0 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 -9728.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.639791 0.0 3.2498274 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 -9464.0 0.0 1016.0 0.0 0.0 0.0 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 79.0 17568.0 1016.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 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: 0.6668023 0.0071072048 0.004014757 0.0040961374 0.006184896 0.0013834635 0.0020887586 0.0023057726 0.0032009548 0.0020345051 0.004204644 0.0016818576 0.0013563368 0.0013020834 0.0011664496 0.0056966147 0.0037163629 0.0024142796 0.00094943575 0.0017361111 0.00086805556 0.0013563368 0.0017632379 0.0010850695 0.0010036892 0.00081380206 0.001030816 0.0006510417 0.00054253475 0.0011664496 0.0007866754 0.0012749566 0.0034179688 0.00048828125 0.0010036892 0.000515408 0.0037163629 0.0009765625 0.00043402778 0.00024414062 0.0017632379 0.0005967882 0.0008951823 0.001030816 0.000515408 0.00032552084 0.0021158855 0.0002983941 0.0010850695 0.0010036892 0.0008409288 0.0015190972 0.00056966144 0.00056966144 0.00043402778 0.00035264756 0.00062391494 0.00086805556 0.0006510417 0.0021430121 0.0011664496 0.0002983941 0.0002983941 0.0007052951 0.004014757 0.0007595486 0.0007324219 0.0008409288 0.0010036892 0.0032280816 0.0014105903 0.0006781684 0.0006510417 0.00086805556 0.0006781684 0.00054253475 0.0008409288 0.00081380206 0.0007052951 0.00054253475 0.0024414062 0.0008409288 0.0012478299 0.0011393229 0.0007052951 0.0016818576 0.0013563368 0.0006781684 0.0006510417 0.00056966144 0.0006510417 0.00054253475 0.0006781684 0.0012207031 0.0010036892 0.0010579427 0.00040690103 0.0017632379 0.0005967882 0.0013020834 0.00094943575 0.0024414062 0.0021430121 0.0007866754 0.0012478299 0.0017903646 0.0013834635 0.0006781684 0.0012749566 0.0012478299 0.0016818576 0.0017632379 0.0024685329 0.0013020834 0.0025499132 0.0021158855 0.0032280816 0.0024685329 0.0014648438 0.0011664496 0.0011935764 0.00062391494 0.0013834635 0.0033637153 0.00040690103 0.0010850695 0.0009765625 0.0005967882 0.0048285592 0.0008951823 0.0007052951 0.003797743 0.0010850695 0.0014105903 0.0004611545 0.0034450954 0.0037163629 0.0043674046 0.0014648438 0.0079210065 0.0008951823 0.0033637153 0.00024414062 0.00081380206 0.0061035156 0.001030816 0.0009765625 0.0009765625 0.000515408 0.0010579427 0.0010850695 0.0004611545 0.00040690103 0.0010850695 0.0022515191 0.00043402778 0.00056966144 0.0011393229 0.0010036892 0.00018988716 0.0016276041 0.0018717448 0.00043402778 0.00043402778 0.0007324219 0.000922309 0.00018988716 0.0006781684 0.0011664496 0.0005967882 0.000515408 0.00040690103 0.00032552084 0.00013563369 0.00043402778 0.0004611545 0.000922309 0.00032552084 0.00035264756 0.0002983941 0.00016276042 0.00018988716 0.0007866754 0.003689236 0.0017089844 0.00054253475 0.00018988716 0.0009765625 0.0003797743 0.00024414062 0.0006781684 0.00032552084 0.0027126735 0.0023057726 0.0007595486 0.0010850695 0.0003797743 0.00081380206 0.00054253475 0.00081380206 0.0007052951 0.0006781684 0.00021701389 0.00040690103 0.00021701389 0.00027126737 0.00035264756 0.00032552084 0.00048828125 0.0019259983 0.0003797743 0.00021701389 0.00021701389 0.00016276042 0.00021701389 0.00013563369 0.0025227864 0.00027126737 0.0006510417 0.002061632 0.00018988716 8.138021e-05 0.00032552084 0.0013292101 0.0009765625 0.00018988716 0.00032552084 0.0015190972 0.0006510417 0.00021701389 0.00040690103 0.000108506945 0.0030110676 0.0010579427 0.00054253475 0.0006510417 0.00018988716 0.00021701389 0.00021701389 0.00021701389 0.0015190972 0.00081380206 0.0003797743 0.0006781684 0.00027126737 0.00013563369 0.0005967882 0.0011121961 0.002875434 0.00027126737 0.0008409288 0.0002983941 0.0008409288 0.0048828125 0.0014648438 0.017469618 0.42857143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05358538 0.0009626116 0.0002511161 0.0001953125 9.765625e-05 9.765625e-05 0.00013950893 0.00013950893 0.00047433036 0.00030691965 0.00026506698 0.00013950893 9.765625e-05 8.370536e-05 0.00026506698 4.185268e-05 0.025697544 0.00034877233 0.00032087055 0.00023716518 0.00023716518 0.00011160714 0.0006138393 0.00034877233 0.00023716518 4.185268e-05 0.00013950893 5.580357e-05 9.765625e-05 1.3950893e-05 2.7901786e-05 4.185268e-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 0.022460938 0.00062779017 0.0004185268 0.00026506698 0.00055803574 0.00044642857 0.0007393973 0.00046037947 0.00046037947 0.0002511161 0.00029296876 0.00026506698 0.00033482144 0.00034877233 0.00032087055 0.00032087055 0.04076451 0.0020228794 0.0012695312 0.0010044643 0.0007672991 0.0008091518 0.00089285715 0.0024274553 0.0014787946 0.0010742188 0.0006138393 0.0017857143 0.0004185268 0.00022321429 0.00016741072 0.001422991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050432477 0.0024135045 0.0015764509 0.0018973214 0.0020507812 0.0015066965 0.004729353 0.0046875 0.0040597096 0.0017996652 0.00089285715 0.0028738838 0.0013113839 0.00047433036 0.00092075893 0.0040876116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034444753 0.0033063616 0.0029436385 0.0019810267 0.0029157365 0.0022739954 0.0045898436 0.0042131697 0.006487165 0.0043666293 0.0020368304 0.0027204242 0.002329799 0.0018554687 0.0013532366 0.007896205 0.017578125 0.0045061386 0.0038085938 0.002218192 0.001827567 0.0019810267 0.003641183 0.0029436385 0.0035574776 0.002232143 0.0021484375 0.00086495536 0.0016183036 0.0017438616 0.001422991 0.0050502233 0.035811942 0.0072265626 0.007952009 0.00546875 0.010142299 0.009598214 0.006110491 0.011579241 0.023549108 0.009723772 0.0047154017 0.0033482143 0.006640625 0.0067382813 0.006291853 0.016531808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93.0 9.537635 887.0 0.037204057 0.0022547913 0.0022547913 0.0011273957 0.034949265 0.0022547913 0.0 0.0 0.028184893 0.0056369784 0.0045095826 0.01578354 0.0011273957 0.003382187 0.01803833 0.0 0.0011273957 0.0045095826 0.011273957 0.01803833 0.0011273957 0.003382187 0.0022547913 0.0022547913 0.0011273957 0.013528748 0.0011273957 0.011273957 0.0022547913 0.0 0.0 0.003382187 0.0045095826 0.010146561 0.010146561 0.0056369784 0.0056369784 0.011273957 0.010146561 0.0045095826 0.0011273957 0.009019165 0.0011273957 0.003382187 0.00789177 0.0022547913 0.0022547913 0.0045095826 0.011273957 0.003382187 0.01803833 0.006764374 0.0056369784 0.00789177 0.0056369784 0.006764374 0.0011273957 0.003382187 0.0045095826 0.003382187 0.016910935 0.0022547913 0.0045095826 0.011273957 0.0011273957 0.021420518 0.0056369784 0.019165726 0.012401353 0.04735062 0.014656144 0.011273957 0.010146561 0.029312288 0.0011273957 0.009019165 0.021420518 0.006764374 0.027057497 0.03156708 0.006764374 0.0056369784 0.027057497 0.03945885 0.037204057 0.009019165 0.0022547913 0.01578354 0.011273957 0.0045095826 0.0 0.12401353 0.0011273957 0.0011273957 0.0045095826 0.0011273957 5.6492767 0.0 0.0 0.0 1.0 36864.0 49152.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 978552640.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 -6248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 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 0.64480734 0.0 0.0 0.0 0.0 -6.620995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.729939 0.0 3.7074225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 -6248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 11792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 28672.0 4096.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 28732.0 0.0 0.0 0.0 0.0