Input: 0.29536334 0.018483313 0.008343895 0.008027039 0.010350655 0.008924799 0.013730461 0.0035910434 0.005016899 0.0045944233 0.0039079003 0.0030101393 0.0026404732 0.0060730884 0.0025348542 0.0045944233 0.0047000423 0.0021123786 0.0023764258 0.0044888044 0.0025348542 0.0033798057 0.0016899029 0.0022179976 0.0029573299 0.0020067596 0.0012674271 0.0017955217 0.0020067596 0.0035910434 0.0021123786 0.0012674271 0.013096747 0.0017955217 0.0018483312 0.0011089988 0.0074989437 0.0024292353 0.00089776085 0.0027989016 0.004330376 0.0011089988 0.0037494719 0.0033798057 0.0021123786 0.0025876637 0.007815801 0.0042775664 0.018166455 0.0067068017 0.0045944233 0.003643853 0.0027989016 0.00089776085 0.0011618081 0.0012674271 0.0025876637 0.0013202366 0.0026404732 0.0013202366 0.0013202366 0.0016370934 0.0013202366 0.0008449514 0.0039607096 0.0044888044 0.0015314744 0.005122518 0.005016899 0.0029045206 0.0014786649 0.0016370934 0.01874736 0.0039079003 0.0008449514 0.0008449514 0.0041191382 0.0014786649 0.0015314744 0.0010561893 0.0032741867 0.0011089988 0.0021123786 0.0030629488 0.0029573299 0.0053865653 0.0019539502 0.0010561893 0.0014258556 0.00089776085 0.0015314744 0.0010561893 0.0030629488 0.0011089988 0.00095057033 0.0039079003 0.0022708068 0.0076045627 0.0020067596 0.009136037 0.007921419 0.01668779 0.0024292353 0.0064427545 0.0048056613 0.014311365 0.00073933246 0.0013202366 0.0066011827 0.0055978033 0.00786861 0.0076045627 0.004330376 0.0011618081 0.013730461 0.009452894 0.017532742 0.0060730884 0.0013202366 0.0031685678 0.0023764258 0.0017955217 0.00095057033 0.00079214195 0.0015314744 0.00068652304 0.0012146176 0.00079214195 0.0019539502 0.0017955217 0.004435995 0.0057562315 0.0019011407 0.0031157583 0.0054393746 0.0008449514 0.0010033798 0.005016899 0.0011618081 0.008185467 0.00079214195 0.003643853 0.0004224757 0.00068652304 0.0011089988 0.00095057033 0.0011089988 0.00079214195 0.0008449514 0.00095057033 0.00063371356 0.00063371356 0.00089776085 0.0010033798 0.00068652304 0.00063371356 0.0004224757 0.0012146176 0.00031685678 0.00068652304 0.0024292353 0.0013730461 0.0013202366 0.00089776085 0.00073933246 0.0008449514 0.0005809041 0.00095057033 0.0010561893 0.0016370934 0.00068652304 0.00047528517 0.00089776085 0.00052809465 0.00073933246 0.0010033798 0.0014258556 0.0005809041 0.00095057033 0.00095057033 0.0008449514 0.0011618081 0.0014258556 0.00068652304 0.0013730461 0.0010561893 0.0012674271 0.00095057033 0.00036966623 0.00063371356 0.00047528517 0.00095057033 0.0049640895 0.0016899029 0.0022708068 0.0033798057 0.0032741867 0.00063371356 0.0014786649 0.0014258556 0.002165188 0.0013202366 0.00052809465 0.0013202366 0.0056506125 0.0008449514 0.0013202366 0.0010561893 0.0011089988 0.00089776085 0.0015314744 0.00089776085 0.00089776085 0.0008449514 0.0011089988 0.00089776085 0.0013202366 0.00063371356 0.00089776085 0.00079214195 0.0008449514 0.00068652304 0.0005809041 0.0011618081 0.0015842839 0.00068652304 0.00063371356 0.00052809465 0.00095057033 0.00052809465 0.0010561893 0.0005809041 0.0043831854 0.0017955217 0.0012146176 0.0020595691 0.0023236163 0.00036966623 0.00095057033 0.00095057033 0.0018483312 0.00095057033 0.0012674271 0.0005809041 0.00089776085 0.0011089988 0.00068652304 0.0019539502 0.0011618081 0.00095057033 0.00073933246 0.0010033798 0.00052809465 0.0016899029 0.0010033798 0.0077629914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042221967 0.002556296 0.001551011 0.0007755055 0.0017807904 0.0010340074 0.0044232537 0.0024701287 0.00034466913 0.00025850185 0.0003159467 0.00017233456 0.00017233456 0.00034466913 0.00017233456 0.00022977941 0.034955192 0.0005457261 0.002096737 0.00071806065 0.0013212316 0.002096737 0.010024127 0.005658318 0.000114889706 0.00017233456 0.00014361214 0.00017233456 0.00014361214 0.00022977941 8.616728e-05 0.00034466913 0.096306294 0.0053710938 0.012149586 0.008559283 0.00496898 0.00485409 0.025160845 0.013154872 0.0013786765 0.00048828125 0.0011776194 0.0007755055 0.00045955883 0.0005457261 0.00068933825 0.0004308364 0.060977712 0.0032743567 0.007352941 0.0036477481 0.004250919 0.005141314 0.014102711 0.008415671 0.0026711856 0.0005170037 0.00068933825 0.00068933825 0.0024988512 0.00057444855 0.0010627297 0.0017807904 0.030014936 0.0017233456 0.002556296 0.0010627297 0.0040785847 0.0011201747 0.0017233456 0.0024126838 0.0043945312 0.0005170037 0.00080422795 0.0005170037 0.0042221965 0.0007755055 0.0014073988 0.0014935662 0.04604205 0.005141314 0.005658318 0.0063476562 0.008846507 0.003705193 0.006807215 0.005198759 0.008386948 0.0014073988 0.0016946231 0.0021254595 0.0061753215 0.0022116269 0.0037913602 0.004107307 0.04555377 0.008731618 0.011575138 0.009420956 0.020048253 0.006405101 0.0107709095 0.008932674 0.017520681 0.002154182 0.0019244025 0.0032456343 0.0126665905 0.0036477481 0.0071806065 0.006692325 0.046875 0.0127240345 0.018181296 0.021570543 0.013643153 0.010196461 0.03185317 0.021225873 0.011891085 0.0060029873 0.00769761 0.006692325 0.0064912685 0.0062327664 0.005658318 0.008358226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 183.0 19.409836 3552.0 0.035754506 0.0011261262 0.0016891892 0.0008445946 0.009572072 0.0005630631 0.00028153154 0.004222973 0.0025337837 0.0005630631 0.00028153154 0.0 0.0008445946 0.008727478 0.035472974 0.019988738 0.037443694 0.020833334 0.012105856 0.0050675673 0.0061936937 0.0016891892 0.0019707207 0.0025337837 0.0030968469 0.0028153153 0.008445946 0.00028153154 0.0028153153 0.0033783785 0.0030968469 0.0005630631 0.0019707207 0.016328828 0.0005630631 0.021396397 0.013795045 0.0036599098 0.0025337837 0.0022522523 0.005349099 0.01097973 0.0 0.0008445946 0.0025337837 0.0011261262 0.0016891892 0.0014076576 0.0045045046 0.0005630631 0.006756757 0.0061936937 0.007882883 0.0019707207 0.0036599098 0.0008445946 0.0022522523 0.00028153154 0.0050675673 0.0 0.0050675673 0.0008445946 0.0005630631 0.014076577 0.0008445946 0.028716216 0.005349099 0.040822074 0.029842343 0.06841216 0.0045045046 0.027027028 0.015484234 0.059966218 0.00028153154 0.0025337837 0.021677928 0.023085585 0.028434685 0.030968469 0.014639639 0.0011261262 0.058558557 0.041385137 0.0678491 0.015202703 0.0045045046 0.012387387 0.0070382883 0.0039414414 0.0025337837 0.0 0.0005630631 0.00028153154 0.00028153154 0.0 5.4280624 2.0 20.0 0.0 2.0 18936.0 28672.0 1.0 2.0 28.0 1.0 1.0 1.0 0.0 0.0 1537889900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 4096.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -2.7814536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4634304 0.0 0.0 0.0 0.0 3.6737976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.42952245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.102331 0.0 4.162055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3304.0 0.0 0.0 0.0 0.0 420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3779.0 0.0 1448.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 10304.0 100.0 10432.0 1448.0 20480.0 420.0 16384.0 7160.0 11776.0 24.0 24576.0 112.0 8816.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 8928.0 0.0 0.0 256.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.1469942 0.0061753215 0.004250919 0.004602769 0.004875632 0.0038272634 0.0036692899 0.0037482767 0.0054069967 0.0032743567 0.003267176 0.0028866038 0.0043873508 0.003288718 0.003231273 0.0051197726 0.0040067784 0.002865062 0.002699908 0.0027860755 0.0036692899 0.0046673943 0.0028578814 0.0029512292 0.003468233 0.0028578814 0.0029512292 0.0028937845 0.003066119 0.0029799517 0.0029799517 0.0029727712 0.0042796414 0.0026927274 0.0028937845 0.0028219784 0.0035831227 0.0029153263 0.0024198645 0.0028076172 0.0030589383 0.0026137407 0.002570657 0.003159467 0.0025778378 0.0031307444 0.0029296875 0.0027860755 0.0032456343 0.0025419348 0.0027717142 0.0039565144 0.0030373966 0.0033318014 0.002592199 0.0023049747 0.0034036075 0.0034825942 0.0025993795 0.0039493334 0.0033677046 0.0032025506 0.002900965 0.0027286306 0.007877125 0.0036621094 0.005162856 0.0034107883 0.0034179688 0.005586512 0.003468233 0.002936868 0.0029153263 0.0031092027 0.0023983226 0.0030086741 0.0029081458 0.0036764706 0.003324621 0.0028794233 0.0054859836 0.003123564 0.0027429918 0.0045955884 0.0027142693 0.0033174402 0.0040498623 0.0043801703 0.002649644 0.0029153263 0.002628102 0.0030876608 0.0027788947 0.0030876608 0.0032528148 0.0028076172 0.0029655905 0.0039708754 0.0027286306 0.003303079 0.0036262064 0.005974265 0.0028076172 0.0030732995 0.0048110066 0.004351448 0.0046673943 0.0029296875 0.0041862936 0.0036262064 0.00414321 0.0042796414 0.0044447957 0.0036692899 0.0050623277 0.0042221965 0.007151884 0.0072021484 0.0030158549 0.0030014936 0.0034969554 0.0033820658 0.0029081458 0.0027860755 0.0031881894 0.0041647516 0.0031666476 0.0031163832 0.0044806986 0.0035687615 0.0030445773 0.0048253676 0.0032528148 0.0041503906 0.0028722426 0.0027717142 0.002900965 0.004638672 0.0027717142 0.0076760687 0.0031522864 0.0037698185 0.003102022 0.0030804803 0.0029512292 0.0026783664 0.0027142693 0.0028435201 0.002735811 0.0022977942 0.0029081458 0.002649644 0.0029727712 0.002570657 0.0026209215 0.0026137407 0.002699908 0.0028435201 0.0027286306 0.0030732995 0.0030373966 0.0029727712 0.002427045 0.003123564 0.0026783664 0.002757353 0.0025993795 0.0024773092 0.0027214498 0.0025491153 0.0025993795 0.00248449 0.0025778378 0.0023696 0.0028794233 0.0030804803 0.0025634766 0.0024198645 0.0026065602 0.0024988512 0.002936868 0.0025634766 0.0028363396 0.0030876608 0.00295841 0.0026065602 0.002793256 0.0026137407 0.002994313 0.0030373966 0.0030517578 0.002994313 0.0051197726 0.0035328586 0.003288718 0.0028363396 0.002735811 0.0027860755 0.003159467 0.0033389821 0.0032815372 0.0028866038 0.0027645335 0.002628102 0.0032169118 0.0025132124 0.0026209215 0.002556296 0.003267176 0.0024773092 0.0031092027 0.0027788947 0.0027142693 0.0026640052 0.003303079 0.003102022 0.0028794233 0.0028578814 0.0025132124 0.0029655905 0.002570657 0.0027142693 0.0026783664 0.0028866038 0.0034538717 0.0029153263 0.0029440487 0.0033820658 0.0028794233 0.002900965 0.0023336972 0.0026711856 0.0070010913 0.0034251492 0.0027645335 0.0048469095 0.00390625 0.0031163832 0.0029153263 0.0029081458 0.0037267348 0.0030230354 0.0026352827 0.0031881894 0.003575942 0.004760742 0.0035615808 0.002922507 0.004308364 0.0030445773 0.0027429918 0.0029727712 0.003848805 0.0029153263 0.0036118452 0.013068704 0.06666667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007092737 2.170139e-05 1.808449e-05 1.0850695e-05 3.978588e-05 3.978588e-05 2.170139e-05 0.0 3.978588e-05 0.0 3.616898e-06 7.233796e-06 2.5318286e-05 7.233796e-06 3.616898e-06 7.5954864e-05 0.0066261576 0.0 0.0 0.0 4.7019676e-05 1.4467592e-05 0.0 0.0 1.808449e-05 6.148727e-05 1.0850695e-05 0.0 0.0 7.233796e-06 8.318866e-05 0.00053891784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00504919 5.0636572e-05 0.00035445602 0.00018446181 0.00016637731 0.00016637731 0.00071252894 0.00036892362 9.403935e-05 0.0 1.0850695e-05 7.233796e-06 2.8935185e-05 1.4467592e-05 1.0850695e-05 0.0001880787 0.009002459 0.00015552662 0.00036892362 0.0001808449 0.0005967882 0.00033637154 0.0017216435 0.0014178241 0.00036892362 0.00011574074 6.148727e-05 6.148727e-05 8.318866e-05 6.510417e-05 7.957176e-05 0.0001989294 0.014109519 0.00035807292 0.0010091146 0.0009042245 0.0024016204 0.0011429398 0.007700376 0.003982205 0.00047381365 0.0003761574 0.00035807292 0.0005895544 0.00028573495 0.0003725405 0.00066189235 0.0023111978 0.0052336515 0.00015914351 0.00011574074 0.00015914351 0.0011682581 0.0006076389 0.0035771122 0.0027307582 0.00030381946 0.000104890045 9.403935e-05 0.00011935764 0.00013020834 0.000104890045 9.042245e-05 0.00011574074 0.006929977 0.00035807292 0.00031828703 0.00043402778 0.00088252313 0.0005461516 0.0003870081 0.0010525173 0.0012912326 0.00018446181 9.403935e-05 0.0001808449 0.00046296295 0.00032552084 0.00047381365 0.00089337386 0.0023690683 0.00023509839 8.680556e-05 9.042245e-05 6.510417e-05 8.680556e-05 0.00029658564 0.000249566 0.00030743633 0.000213397 0.00029296876 0.00053530093 0.00021701389 0.00030743633 0.00051359955 0.0015407986 0.01609158 0.0026692708 0.0011791087 0.00223886 0.004727286 0.0037868924 0.0020978008 0.0038881656 0.00625 0.0007776331 0.0007740162 0.00066189235 0.0030454283 0.0013310185 0.004040075 0.0057002315 0.02593316 0.0057110824 0.0037796586 0.0048864293 0.009678819 0.0076171877 0.0047453702 0.00901331 0.010022425 0.0017505788 0.0014756945 0.0016529225 0.0048032408 0.0024269386 0.006644242 0.010970052 0.042220052 0.041037325 0.04009693 0.04044777 0.040140335 0.039445892 0.040190972 0.041366465 0.04112413 0.040455006 0.04024884 0.04082393 0.040259693 0.04053096 0.04188368 0.04157986 743.0 9.654105 7173.0 0.018123519 0.004042939 0.011152934 0.003485292 0.0064129373 0.006691761 0.0043217624 0.0036247037 0.0037641155 0.003903527 0.003485292 0.003903527 0.0033458804 0.008922348 0.010037641 0.007109996 0.0068311724 0.0043217624 0.007946466 0.006134114 0.005994702 0.006691761 0.004879409 0.0027882336 0.0046005854 0.004461174 0.0041823504 0.003067057 0.007807054 0.007109996 0.007388819 0.004042939 0.0054370556 0.018123519 0.004879409 0.014777638 0.010177053 0.010177053 0.011292347 0.009479995 0.005576467 0.014359403 0.0032064687 0.008085878 0.008225289 0.008922348 0.007109996 0.0062735258 0.012825875 0.0068311724 0.010177053 0.016729401 0.0076676426 0.007388819 0.008225289 0.009061759 0.0041823504 0.0046005854 0.0043217624 0.005576467 0.0043217624 0.004461174 0.0062735258 0.0058552907 0.003067057 0.029973513 0.008225289 0.018402342 0.022584694 0.06872996 0.009340582 0.0125470515 0.01240764 0.035828803 0.0046005854 0.007946466 0.030112924 0.017008225 0.028439984 0.033598214 0.013104699 0.0047399974 0.032482922 0.029834101 0.043496445 0.015056462 0.007528231 0.008504112 0.010455877 0.011013523 0.0037641155 0.004879409 0.0037641155 0.0037641155 0.005297644 0.0043217624 6.12247 0.0 1.0 0.0 1.0 139264.0 311296.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1244324500.0 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 -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 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 2.138096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 16552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 16552.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.18918186 0.0064561632 0.0050998265 0.0085720485 0.008463542 0.0033094618 0.0050998265 0.0025499132 0.008300781 0.0016818576 0.00390625 0.0050998265 0.006293403 0.0016276041 0.0017361111 0.0066731772 0.011935764 0.0045572915 0.002061632 0.0017361111 0.0044487845 0.0045572915 0.0017361111 0.0014105903 0.002766927 0.0014648438 0.0015733507 0.0013020834 0.0016276041 0.0005967882 0.0016276041 0.00390625 0.007486979 0.002875434 0.0030381945 0.0022243923 0.0038519965 0.0016276041 0.0016276041 0.0029296875 0.0021158855 0.0010850695 0.0010850695 0.001844618 0.00390625 0.0011393229 0.002061632 0.002061632 0.005859375 0.003689236 0.0026041667 0.007595486 0.0022243923 0.0024414062 0.0020073785 0.0036349827 0.0034722222 0.005642361 0.0017903646 0.0049370658 0.0026584202 0.0021158855 0.0026584202 0.0023328993 0.0105251735 0.003797743 0.002170139 0.0025499132 0.0037434895 0.0085720485 0.0046115452 0.002170139 0.0032009548 0.001953125 0.0009765625 0.0009765625 0.0020073785 0.004231771 0.0028211805 0.002061632 0.014702691 0.0046657985 0.003689236 0.0067816842 0.0023871528 0.0046657985 0.0067274305 0.0052083335 0.0012478299 0.0033094618 0.0011393229 0.0017903646 0.001953125 0.0031467015 0.0027126735 0.0044487845 0.0048285592 0.0056966147 0.001844618 0.0035264757 0.0030381945 0.007866753 0.002170139 0.0017903646 0.0048828125 0.0039605033 0.0045030382 0.0013020834 0.0048828125 0.0029296875 0.0035264757 0.0059136283 0.0060221353 0.001953125 0.005642361 0.0039605033 0.010850694 0.008192275 0.0031467015 0.002875434 0.0024414062 0.0015733507 0.0009765625 0.0018988715 0.0013563368 0.0026041667 0.002170139 0.003797743 0.003689236 0.002983941 0.0015733507 0.0083550345 0.0032009548 0.0046657985 0.0009765625 0.00081380206 0.002983941 0.010579427 0.0028211805 0.015190972 0.0013563368 0.0049370658 0.001030816 0.0024414062 0.0034179688 0.0014105903 0.0013563368 0.000922309 0.0015733507 0.00081380206 0.0006510417 0.0006510417 0.00081380206 0.00032552084 0.0006510417 0.0005967882 0.0017361111 0.0010850695 0.0011935764 0.002061632 0.0035807292 0.0022243923 0.0011393229 0.0015190972 0.0014105903 0.0009765625 0.00081380206 0.0007595486 0.0014105903 0.0013563368 0.0018988715 0.0012478299 0.000922309 0.00048828125 0.001844618 0.0024414062 0.0028211805 0.0021158855 0.0013020834 0.0020073785 0.0017903646 0.0006510417 0.0020073785 0.0009765625 0.0014648438 0.0011393229 0.0012478299 0.001030816 0.0011935764 0.0015190972 0.0015190972 0.0040690103 0.0068901908 0.007486979 0.0032009548 0.0023871528 0.0023328993 0.0005967882 0.0024956597 0.002983941 0.002170139 0.0014648438 0.0017903646 0.0024956597 0.0016818576 0.0007052951 0.0022243923 0.0028211805 0.009928386 0.0027126735 0.0014105903 0.0024414062 0.0015733507 0.0032552083 0.0023328993 0.001953125 0.002766927 0.0011393229 0.0017903646 0.0017903646 0.0027126735 0.000922309 0.001844618 0.0033094618 0.0077582467 0.0022243923 0.0025499132 0.001844618 0.0023328993 0.000922309 0.0023328993 0.0017361111 0.007866753 0.0016276041 0.0016276041 0.0040690103 0.0031467015 0.0009765625 0.0020073785 0.0048828125 0.0051540798 0.0034722222 0.002170139 0.0028211805 0.0029296875 0.0032009548 0.002061632 0.003689236 0.004014757 0.0023328993 0.001953125 0.0035807292 0.003797743 0.002170139 0.0035807292 0.026746962 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.048224956 0.0012350644 0.002699908 0.0013212316 0.00034466913 0.00025850185 0.00080422795 0.00022977941 0.0012063419 0.00028722428 0.000114889706 0.00022977941 0.00020105699 0.0013212316 0.00017233456 0.00017233456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03257123 0.001349954 0.002900965 0.0015222887 0.0018095128 0.0034466912 0.006261489 0.003303079 0.0014361213 0.00048828125 0.00040211398 0.00045955883 0.00045955883 0.0014073988 0.0004308364 0.00057444855 0.027516084 0.0026137407 0.0024414062 0.0023839613 0.0032743567 0.0027860755 0.0028722426 0.0024414062 0.003963695 0.0003159467 0.00060317095 0.00091911765 0.0014648438 0.0010914522 0.001349954 0.0027860755 0.02286305 0.00094784005 0.00083295035 0.0013212316 0.0042221965 0.0056008734 0.006519991 0.0041360296 0.0035615808 0.0005170037 0.0005457261 0.0006318934 0.001953125 0.0010914522 0.0018669578 0.0022116269 0.016371783 0.0020392924 0.0013212316 0.0023839613 0.0051700366 0.0046817553 0.0016371784 0.0030445773 0.0073816637 0.00048828125 0.0004308364 0.0009765625 0.003303079 0.0017807904 0.0031307444 0.0046817553 0.01645795 0.005974265 0.0039924174 0.017865349 0.0094784 0.008473116 0.010656021 0.007841222 0.007467831 0.0022403493 0.002355239 0.0028722426 0.0042796414 0.0025275736 0.004193474 0.010971967 0.063017 0.03561581 0.028550092 0.031996783 0.034840304 0.047018614 0.03561581 0.04092946 0.04595588 0.01596967 0.020909926 0.022202436 0.034495633 0.035070084 0.039493337 0.05655446 184.0 7.673913 1412.0 0.015580736 0.0035410766 0.008498584 0.0014164306 0.002124646 0.0007082153 0.0 0.0014164306 0.0028328612 0.0014164306 0.0014164306 0.0035410766 0.004249292 0.002124646 0.009915014 0.008498584 0.012747875 0.0035410766 0.01062323 0.009915014 0.007082153 0.002124646 0.0056657223 0.009206799 0.007790368 0.007790368 0.002124646 0.004957507 0.004957507 0.0056657223 0.009206799 0.007082153 0.01062323 0.016288951 0.002124646 0.007790368 0.0063739377 0.0120396605 0.009915014 0.004957507 0.0035410766 0.004957507 0.002124646 0.004249292 0.009915014 0.009915014 0.008498584 0.007790368 0.016997168 0.004249292 0.0063739377 0.016288951 0.0056657223 0.007082153 0.016288951 0.008498584 0.0014164306 0.0028328612 0.0014164306 0.0014164306 0.0035410766 0.0014164306 0.002124646 0.028328612 0.0063739377 0.03611898 0.007790368 0.030453257 0.02266289 0.06303116 0.007082153 0.0063739377 0.014164306 0.03328612 0.004249292 0.004957507 0.041784704 0.024079321 0.026203966 0.035410766 0.024079321 0.002124646 0.04390935 0.024079321 0.047450423 0.017705383 0.008498584 0.007790368 0.011331445 0.007790368 0.0014164306 0.0014164306 0.0014164306 0.0007082153 0.002124646 0.011331445 5.9137177 0.0 0.0 0.0 3.0 18432.0 36864.0 0.0 0.0 32.0 0.0 0.0 0.0 0.0 0.0 1540575400.0 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 14336.0 1024.0 4096.0 5.0 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 -1024.0 -512.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7718067 -0.8112781 0.0 0.0 4.697842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8593373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5321603 0.0 0.0 0.0 0.0 0.0 0.0 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 -4.0 0.0 0.0 854.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.29810756 0.022204945 0.0046268203 0.0036028519 0.006598908 0.0044182343 0.0013273665 0.0008912318 0.0044371965 0.0008912318 0.0010808556 0.000853307 0.0015169902 0.002559921 0.00077745755 0.007698726 0.0035459648 0.00068264565 0.0012135922 0.0006636832 0.0020668993 0.006655795 0.0002844357 0.0005119842 0.0012894417 0.001005006 0.0005688714 0.00020858616 0.00068264565 0.0006067961 0.0005688714 0.002806432 0.0054042777 0.0005119842 0.00064472086 0.00049302186 0.024859678 0.0042286105 0.00064472086 0.00039820996 0.004835407 0.0015928398 0.00054990896 0.00064472086 0.00083434465 0.00083434465 0.0025978459 0.0036218143 0.00470267 0.008798543 0.0031287924 0.00077745755 0.0017824636 0.0018583131 0.0020289745 0.0029770934 0.0033373786 0.0018772755 0.0016876517 0.00049302186 0.0009860437 0.0010429309 0.0004550971 0.00020858616 0.004721632 0.0051388047 0.001953125 0.0041337986 0.010069023 0.006712682 0.0013652913 0.0007964199 0.038455702 0.0019341626 0.00077745755 0.0013463289 0.005612864 0.002901244 0.004152761 0.0012325546 0.0064851334 0.004892294 0.0012325546 0.0027116202 0.0028443567 0.0017635012 0.0021617112 0.0022944477 0.0009670813 0.00041717233 0.0042286105 0.0011567051 0.000701608 0.00077745755 0.0008912318 0.008589958 0.0021996358 0.00948119 0.0020668993 0.005745601 0.009462227 0.015587076 0.003356341 0.004721632 0.0032236043 0.011548089 0.0011756675 0.0004550971 0.0073194783 0.0024271845 0.009139867 0.009708738 0.004835407 0.0009101942 0.007622876 0.0069402307 0.017976334 0.006048999 0.00502503 0.0012135922 0.006257585 0.0017635012 0.0006636832 0.00013273665 0.00034132283 0.00011377427 0.00011377427 0.00013273665 0.002104824 0.0013842536 0.0007964199 0.0044371965 0.011661863 0.0027495448 0.00017066141 0.00020858616 0.001403216 0.011301578 0.0006257585 0.0176919 0.0055939015 0.0084951455 0.0004361347 0.00022754855 0.014297633 0.0005309466 0.00068264565 0.00037924756 0.0038304005 0.0010808556 0.0004361347 0.0002844357 0.0036407767 0.00037924756 0.00022754855 0.00013273665 0.0004361347 0.00018962378 0.00034132283 0.00022754855 0.004095874 0.000701608 0.000853307 0.00077745755 0.0010618932 0.0005688714 0.00037924756 0.0003602852 0.0013652913 0.0006067961 0.00032236043 0.00020858616 0.00041717233 0.0002844357 0.00020858616 0.0004550971 0.0014221783 0.00022754855 0.00047405946 0.0002844357 0.00030339806 0.0002844357 0.0005688714 0.00037924756 0.0024840715 0.0014601032 0.0011756675 0.00011377427 0.00054990896 0.00041717233 0.00022754855 0.00022754855 0.005669751 0.0019152003 0.0026357707 0.0031477548 0.0021806736 0.00049302186 0.0005309466 0.008419296 0.0011756675 0.00083434465 0.0005309466 0.0006257585 0.0002654733 0.00020858616 0.0002654733 0.00022754855 0.004550971 0.00054990896 0.0016876517 0.00034132283 0.00047405946 0.00022754855 0.00030339806 0.0005309466 0.0024840715 0.0006636832 0.00068264565 0.0008153823 0.0006257585 0.00034132283 0.00022754855 0.00032236043 0.0017255765 0.0003602852 0.00037924756 0.0002844357 0.00049302186 0.00041717233 0.0002654733 0.00034132283 0.007698726 0.0017445388 0.00041717233 0.00092915655 0.0014221783 0.00020858616 0.00022754855 0.00011377427 0.0059352247 0.00020858616 0.0004361347 0.0012135922 0.00032236043 0.00018962378 0.00037924756 0.0006636832 0.0012894417 0.00083434465 0.00073953276 0.00030339806 0.00030339806 0.00064472086 0.0012894417 0.03968826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017734375 0.00028320312 0.0001171875 6.8359375e-05 0.0001171875 9.765625e-05 9.765625e-05 0.00015625 0.0001171875 0.00014648438 0.0001171875 0.00012695312 0.000107421874 0.00013671875 6.8359375e-05 0.0005078125 0.017128907 0.0005371094 0.00018554687 9.765625e-05 0.00016601563 0.00013671875 0.00013671875 0.0001953125 0.00013671875 0.00018554687 0.00016601563 0.00015625 0.000107421874 0.00017578126 0.000107421874 0.00038085936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030507812 0.0010351562 0.0004394531 0.000546875 0.00059570314 0.0006738281 0.001328125 0.0005371094 0.0002734375 0.00022460938 0.0010546875 0.00013671875 0.00012695312 0.00018554687 0.0001171875 0.0022167969 0.02830078 0.0008691406 0.00095703127 0.0013769531 0.0016210937 0.00091796875 0.0006445313 0.0006738281 0.00061523437 0.00037109375 0.0004296875 0.0003125 0.0012304687 0.00020507812 0.0010351562 0.0004394531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.043544922 0.0012304687 0.0031835937 0.0050683594 0.005566406 0.0066503906 0.01709961 0.007705078 0.0013378906 0.0027539062 0.00059570314 0.00021484375 0.0009863281 0.0005859375 0.000546875 0.0029296875 0.03852539 0.0023632813 0.006201172 0.014453125 0.019277344 0.017978515 0.06004883 0.031621095 0.0018554687 0.0009960937 0.00033203125 0.00060546875 0.001171875 0.0010644532 0.0009863281 0.0025195312 0.022509765 0.00083984376 0.004189453 0.0045410157 0.0056347656 0.0042871092 0.01413086 0.008925782 0.0025097656 0.000546875 0.001328125 0.00029296876 0.0009765625 0.0012792968 0.0016699219 0.0063378904 0.09798828 0.010439453 0.02591797 0.0048535154 0.03633789 0.0053710938 0.0029882812 0.0068164063 0.041494142 0.009677734 0.0034570312 0.0037890626 0.013671875 0.007255859 0.005654297 0.02428711 0.04951172 0.0053320313 0.011787109 0.0053417967 0.022216797 0.006015625 0.0028808594 0.004091797 0.020419922 0.01118164 0.0023828126 0.004404297 0.010078125 0.0037011718 0.0063378904 0.014316406 0.004462891 0.000703125 0.0007617187 0.0005273438 0.0020898439 0.001015625 0.00040039062 0.0007421875 0.0023339845 0.0015136718 0.0003515625 0.0006347656 0.00125 0.00049804687 0.0008203125 0.0018945313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 441.0 26.179138 11545.0 0.0061498485 0.00043308793 0.0012992638 8.661758e-05 0.0019922045 0.00069294067 0.00043308793 0.0 0.0051104375 0.0045041144 0.0005197055 0.00017323517 0.0005197055 0.0013858813 0.0075357296 0.014984841 0.0057167606 0.028150715 0.010827198 0.00251191 0.0068427892 0.006063231 0.0075357296 0.012646168 0.0022520572 0.0028583803 0.00537029 0.0 0.00017323517 0.0 0.00086617586 0.0 0.00086617586 0.0134257255 0.0030316154 0.014898225 0.018709399 0.022867043 0.0051104375 0.00251191 0.0022520572 0.002685145 0.0 0.003984409 0.0035513209 0.010567345 0.0172369 0.0038111736 0.01290602 0.019575574 0.0032914681 0.008748376 0.007016024 0.0045041144 0.0071892594 0.008661758 0.00017323517 0.00017323517 0.017323516 0.0014724989 0.0011260286 0.0017323517 0.0014724989 0.038111735 0.00060632307 0.042529233 0.0078822 0.024599394 0.028930273 0.070420094 0.0085751405 0.020355131 0.009008229 0.051883932 0.0042442614 0.0014724989 0.03118233 0.01039411 0.0408835 0.042789087 0.013079255 0.002078822 0.032394975 0.030056302 0.0709398 0.019575574 0.021048073 0.0035513209 0.0068427892 0.0065829363 0.0011260286 0.0 0.00034647033 0.0 0.0 0.0 5.5279155 0.0 0.0 0.0 2.0 52736.0 86016.0 0.0 59.0 193.0 1.0 0.0 0.0 1.0 0.0 1318449400.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 21.0 4.0 0.0 5.0 2.0 27648.0 1024.0 4096.0 11.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 -1024.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 -27648.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4099021 0.0 0.0 -4.7756143 0.0 0.0 -0.8452005 0.0 0.0 0.0 0.0 0.0 5.3554935 0.0 0.0 -3.9797752 0.0 4.086739 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5417876 0.0 0.0 0.0 0.0 0.0 5.6059384 0.0 0.0 -5.5947742 -5.1509175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72.0 0.0 0.0 -312.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 4740.0 0.0 0.0 -756.0 0.0 864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3264.0 0.0 0.0 -1472.0 0.0 0.0 0.0 0.0 0.0 2562.0 0.0 0.0 -27536.0 -10648.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -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 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 2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 2562.0 57344.0 10648.0 61440.0 0.0 0.0 864.0 45056.0 0.0 0.0 312.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 77824.0 0.0 0.0 0.0 0.0 1616.0 63256.0 0.0 0.0 0.0 0.0


Input: 0.026714213 0.004928787 0.0041785473 0.0039589363 0.0048991092 0.003916201 0.0038568468 0.0037583185 0.004842129 0.0036906546 0.0036775966 0.0036194292 0.004236715 0.0035256494 0.0034211858 0.004571473 0.004224844 0.0035600748 0.0036111197 0.0034176244 0.003970807 0.003970807 0.0034959721 0.0033072254 0.0036182422 0.0034021924 0.003368954 0.0034496759 0.003833105 0.0034627337 0.0036229906 0.0033665798 0.004172612 0.0034473017 0.0037060867 0.0034021924 0.003834292 0.0036075583 0.003412876 0.0034852885 0.0037618799 0.003481727 0.0036835321 0.0035197139 0.0037227059 0.0035517653 0.003562449 0.003493598 0.0036372356 0.0034579854 0.0036206164 0.004686621 0.0035351461 0.0035707587 0.003522088 0.0033938827 0.0036716613 0.0036467323 0.0035232753 0.0038390404 0.0036645387 0.0037048997 0.0035292106 0.003463921 0.0039340076 0.004985767 0.0040823934 0.0037440734 0.0044254614 0.0049181026 0.0039233235 0.0036526676 0.0037618799 0.0039624977 0.0039019561 0.003561262 0.003804615 0.0040266 0.003669287 0.0036609774 0.005560317 0.0038972078 0.0038758402 0.004171425 0.0037998667 0.0039090784 0.0044385195 0.0043447395 0.0037464476 0.0037345767 0.0037120222 0.003805802 0.003682345 0.0038699047 0.003926885 0.0035826296 0.0035838166 0.003968433 0.0036229906 0.0036775966 0.0038556596 0.0046248925 0.0042925077 0.0035719457 0.0042699534 0.003956562 0.0044539515 0.0035565137 0.0039351946 0.003859221 0.003846163 0.003778499 0.003793931 0.00360281 0.004150057 0.004036097 0.0054855305 0.0053312094 0.0035933133 0.0037856216 0.0036740354 0.003739325 0.0034283083 0.003492411 0.0037072739 0.0038782144 0.003548204 0.0034461145 0.0042058504 0.0037832474 0.0035968747 0.004863497 0.004141748 0.0049406574 0.003888898 0.003522088 0.0039494396 0.004908606 0.0037868086 0.006759275 0.0037084608 0.0054427953 0.0036526676 0.0034841013 0.003779686 0.0035422686 0.0034876626 0.0035850038 0.0036977772 0.003669287 0.003776125 0.0034947852 0.0036063713 0.003627739 0.003492411 0.0033558959 0.0035351461 0.0036526676 0.0036087455 0.003532772 0.0034484887 0.0034971593 0.0035980616 0.0035671974 0.003548204 0.0037333898 0.003547017 0.0035042819 0.0036206164 0.0035125914 0.003412876 0.003575507 0.0036004358 0.0037048997 0.0034544242 0.0035517653 0.0035814424 0.003656229 0.0035493912 0.0035695715 0.0035850038 0.0038817755 0.003956562 0.0037678152 0.0036372356 0.0037547573 0.0036087455 0.0035529523 0.0035850038 0.0034069407 0.0036526676 0.003398631 0.0046711885 0.0037630668 0.004040845 0.0036740354 0.003628926 0.003412876 0.003916201 0.003643171 0.003643171 0.0036752224 0.00345205 0.0035280236 0.003522088 0.0034496759 0.003533959 0.003536333 0.0037191447 0.0035588879 0.0036799707 0.00345205 0.0034947852 0.0034544242 0.003536333 0.0035410814 0.0033357155 0.003372515 0.0034033793 0.0036182422 0.0032253163 0.0030698078 0.0033499605 0.003275174 0.0035968747 0.0033665798 0.0032229421 0.0033665798 0.003354709 0.00332978 0.0032870448 0.0032929804 0.005638665 0.0036550418 0.0033238446 0.004019478 0.0037523832 0.0032265035 0.0031445944 0.0033333413 0.0036882805 0.0034615467 0.0033404639 0.003354709 0.0034627337 0.0033190963 0.0032929804 0.0033903215 0.0038805886 0.003288232 0.0032288777 0.0031362846 0.0038093633 0.003302477 0.003492411 0.020950904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00095217815 1.7842189e-05 1.4868491e-05 1.6057971e-05 6.0663446e-05 2.2600107e-05 5.471605e-05 2.4384326e-05 2.3194847e-05 2.3789587e-06 4.7579174e-06 5.9473964e-06 4.1631774e-06 5.352657e-06 4.1631774e-06 4.7579174e-06 0.0018341771 1.724745e-05 4.995813e-05 8.028985e-05 6.661084e-05 7.374772e-05 0.000115379495 5.055287e-05 4.0442297e-05 1.0705314e-05 1.1300053e-05 5.9473964e-06 1.1300053e-05 1.784219e-06 1.3084272e-05 5.3526568e-05 0.00062328717 5.352657e-06 8.980569e-05 2.2600107e-05 1.4273752e-05 1.3084272e-05 0.000301533 0.00014809017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004153067 4.2226515e-05 0.00036338592 0.00011716371 0.00017842189 0.00015879549 0.0011466581 0.0005721395 9.694256e-05 7.2558236e-05 6.4231885e-05 3.9847557e-05 7.6721415e-05 2.7952763e-05 1.784219e-06 0.00019626408 0.003570817 0.00036695437 0.00036279118 0.0005418078 0.0010068943 0.0006536189 0.0018972195 0.0010556629 3.5684378e-05 3.330542e-05 3.5684378e-05 3.092646e-05 4.1037034e-05 3.271068e-05 3.390016e-05 4.5200213e-05 0.0005061234 1.6057971e-05 1.1300053e-05 1.3679012e-05 0.000107053136 0.00014333226 0.0002206484 0.00011656897 1.0705314e-05 7.136876e-06 1.0110574e-05 8.326355e-06 2.0221149e-05 1.0705314e-05 7.136876e-06 8.921094e-06 0.0018936511 0.00018377455 0.0001635534 0.0001980483 0.0002474117 0.00038182284 0.00027655394 0.00042999675 0.00047817067 0.0005281288 0.0010086785 0.0016474288 0.0005751132 0.0009218464 6.720558e-05 0.0019608566 0.0006262608 0.00029320666 0.00057035533 0.0008712936 0.0011805582 0.0014125067 0.0014440279 0.0010663682 0.00088556734 0.0007380719 0.0006720558 0.0007963564 0.0002129168 0.0002503854 2.0221149e-05 0.0035761695 0.0145485215 0.0023765797 0.0018038454 0.002601986 0.005265825 0.005359199 0.003177694 0.0048947074 0.010642866 0.0023474374 0.0012667954 0.002265958 0.0039056554 0.0011436844 0.0034090476 0.01050786 0.005808227 0.001516586 0.0010140311 0.0013072378 0.0028434503 0.002542512 0.0014475964 0.0022047 0.0040614773 0.0008849726 0.00080646697 0.0009646677 0.0018395297 0.00088437786 0.001703929 0.0054930155 0.052869976 0.052867595 0.053414162 0.052729618 0.053078134 0.053345766 0.052781954 0.05214142 0.05241024 0.052852727 0.053016875 0.052406672 0.052420948 0.05182621 0.0516799 0.050596286 3807.0 6.452587 24565.0 0.01506208 0.0088744145 0.009932831 0.00801954 0.0076938733 0.0073274984 0.008548749 0.00801954 0.009688581 0.009566456 0.009118665 0.008589457 0.008955832 0.009200081 0.011846122 0.008060249 0.008589457 0.009810707 0.00899654 0.009200081 0.008955832 0.008426623 0.00875229 0.007123957 0.0076124566 0.009851415 0.007897415 0.0093222065 0.010014248 0.00850804 0.008630165 0.008792998 0.009403623 0.011439039 0.008548749 0.010787706 0.013474455 0.009647873 0.012375331 0.011601873 0.009281498 0.012212497 0.009077957 0.008060249 0.009647873 0.009281498 0.01021779 0.010054956 0.0119275395 0.00948504 0.009647873 0.012253206 0.01119479 0.009444332 0.009281498 0.012782414 0.010380623 0.0093222065 0.00801954 0.0089151235 0.009118665 0.008385915 0.007897415 0.008589457 0.00777529 0.016120497 0.009444332 0.012171789 0.0136779975 0.027396703 0.010665582 0.009525748 0.011764706 0.017382454 0.009932831 0.008182373 0.015835539 0.012578872 0.014858538 0.016324038 0.013270914 0.007978831 0.017545288 0.015672704 0.021371871 0.012253206 0.008792998 0.01021779 0.009851415 0.010909831 0.007490332 0.007938123 0.008304498 0.009077957 0.007938123 0.0070018317 6.529475 0.0 1.0 0.0 7.0 842398.0 245760.0 1.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1339248000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 9.0 0.0 5.0 0.0 5.0 0.0 74752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -74752.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.75 0.0 0.0 0.0 0.0 0.0 5.0992055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5491414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.566186 0.0 6.449337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 7445.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74526.0 0.0 49856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 89232.0 220.0 85232.0 49856.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 82640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 712.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016874425 0.0021685432 0.004983341 0.0018095128 0.0017377068 0.002391142 0.0018238741 0.0020392924 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053208293 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.0036046645 0.0030732995 0.0026209215 0.0024055033 0.0044376147 0.0019459444 0.0020823758 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032743567 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016084559 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.001881319 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.002283433 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.001989028 0.0016802619 0.0019028607 0.0019674862 0.00201057 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.002699908 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016730813 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021829044 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.0043586283 0.0038631663 0.0036118452 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356991 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-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 0.013104022 0.00013382523 9.403935e-05 0.000101273145 0.0056966147 0.002090567 0.00018446181 0.000101273145 8.318866e-05 1.4467592e-05 1.4467592e-05 3.616898e-05 3.2552085e-05 0.00012297454 2.8935185e-05 0.0003833912 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1375677200.0 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 49152.0 4096.0 4096.0 4.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 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 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -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 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.1359071 0.0082347095 0.003993988 0.0032668381 0.005954803 0.003767421 0.001935904 0.0018706622 0.0075217937 0.0014412521 0.0016239292 0.0014365072 0.0043640877 0.0013095821 0.0011743535 0.003711669 0.0058812574 0.0014365072 0.001132836 0.0008552615 0.0023581968 0.001892014 0.0007330813 0.0007888334 0.0022028026 0.00072121917 0.0007935783 0.00067970157 0.0015444529 0.00057768705 0.00056819734 0.00054091436 0.0037140413 0.00056108 0.00062394945 0.00051956245 0.003976195 0.0012609473 0.0004448309 0.0005373557 0.001132836 0.00062513567 0.0005587076 0.00090271013 0.0010581044 0.0022419477 0.0006476738 0.0004958382 0.009272648 0.0035278054 0.0069097066 0.010532409 0.0070805214 0.002734227 0.0066795805 0.0024613976 0.007665326 0.0028492901 0.0006844465 0.0014199002 0.0015966464 0.00093473797 0.0004460171 0.0005065141 0.0112797255 0.0037638624 0.004696228 0.0084577175 0.0037069242 0.031197473 0.0031316094 0.00259544 0.0032419276 0.003399694 0.0020972292 0.0022561823 0.002596626 0.0042039487 0.0011114841 0.0014673488 0.008680726 0.0020545255 0.0019703042 0.009348566 0.0030711126 0.013259519 0.0030877194 0.0020082633 0.0018457517 0.006241867 0.0026274677 0.003123306 0.0015005629 0.004443564 0.0022787203 0.00345426 0.0055242064 0.0046713175 0.0021684023 0.003502895 0.011505106 0.006281012 0.004218183 0.0018837105 0.010119606 0.0044471226 0.004030761 0.0017247576 0.0058065257 0.0020533393 0.00467369 0.0042917286 0.0055835173 0.001996401 0.005125638 0.004047368 0.012382906 0.0057187458 0.0021090915 0.001479211 0.0052703563 0.0012111262 0.00050888653 0.0005658249 0.0015847841 0.002413949 0.0010189593 0.0008386545 0.005027182 0.0011102979 0.0010438698 0.00868903 0.0029928223 0.0030936506 0.0009916764 0.00059310783 0.002552736 0.014561984 0.0021411194 0.049593307 0.0011470706 0.010546644 0.00082204747 0.00065241865 0.0025468052 0.00042585144 0.00069749483 0.0006192046 0.0010770839 0.0008979653 0.0014495556 0.000544473 0.0011257187 0.0005646387 0.00047923115 0.00068326027 0.00091694476 0.00045669306 0.0004460171 0.00040212713 0.0008600064 0.0031921065 0.00044720332 0.0024459767 0.0013653343 0.00078408857 0.00054091436 0.00043415494 0.0010035385 0.00043889982 0.0004887209 0.00046736898 0.00081255776 0.0004317825 0.0007117294 0.00063106674 0.001270437 0.0006571635 0.0016595158 0.0005148176 0.00084221317 0.00064292894 0.00068326027 0.0015147974 0.0030212915 0.0024305559 0.004460171 0.00079001964 0.0009596485 0.0004602517 0.0008184888 0.0006856327 0.011505106 0.0011019944 0.0021933129 0.0099250665 0.004179038 0.0010154006 0.0034115564 0.0032300653 0.0017935581 0.0016927298 0.00094304146 0.0012490852 0.0016132534 0.00085644773 0.00095134496 0.00090389635 0.0027567653 0.0011031806 0.0028528487 0.00129772 0.0017389922 0.00073663995 0.0015385217 0.00083984074 0.0032300653 0.0006275081 0.0010414973 0.0017140817 0.0014353209 0.00068919134 0.00053972815 0.0008078129 0.0023392173 0.00063106674 0.00084221317 0.00095015875 0.0023332862 0.0023321002 0.000527866 0.000665467 0.026478706 0.005779243 0.0010486146 0.005658249 0.0062655914 0.0009999798 0.00065241865 0.0007235916 0.006946479 0.0009371104 0.0017425509 0.0008813583 0.008763761 0.0020818086 0.0039287466 0.0024874944 0.009655796 0.0029287667 0.002947746 0.003464936 0.0142796645 0.003832663 0.0041256584 0.06611373 0.0 0.0 0.0 0.00729927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011238785 0.0 0.0 6.0589646e-05 3.207687e-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 0.0019780737 0.0 0.0 0.00028631577 0.00016870057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017024502 0.0 0.0 0.0004960035 0.00023463636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00979295 0.0 0.0 0.004311369 0.0029273115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015357693 0.0 0.0 0.013093897 0.01047785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00052808033 3.5640967e-06 1.7226468e-05 6.415374e-05 0.00014256386 7.2469964e-05 5.9401614e-06 7.1281934e-06 1.4850403e-05 0.0 0.0 1.7820483e-06 7.722209e-06 2.9700807e-06 4.752129e-06 0.00034334132 0.0058397725 0.00019721335 0.00020434154 0.0005274863 0.0018301636 0.0004674907 0.0023439876 0.0010199257 0.00018652107 9.6230615e-05 8.85084e-05 7.187595e-05 0.00064331945 0.00036413188 0.0003837344 0.002766927 0.012761248 0.00061421265 0.0009058746 0.001993518 0.003954959 0.0034565798 0.006672583 0.0030740334 0.0004348198 0.00022572612 0.00029760206 0.0003166106 0.0019947062 0.0010579427 0.0010745751 0.0086102635 0.019895382 0.0012480279 0.001181498 0.001990548 0.0070082024 0.0024532867 0.006409434 0.0031191786 0.0022911201 0.0009337933 0.0009355754 0.0012795107 0.0038872415 0.002538231 0.0025613976 0.009177549 0.019373242 0.0014963266 0.0011987245 0.002172317 0.0090314215 0.0038741732 0.005638401 0.0032647126 0.005567713 0.0013543568 0.0017042323 0.0022085519 0.0037007204 0.0016982921 0.003875361 0.009267245 0.07094275 0.0094098095 0.0069785016 0.00966286 0.040317062 0.029333703 0.020420492 0.013373679 0.049338978 0.0050717094 0.0058041313 0.00876352 0.016091302 0.0067801 0.026303034 0.05853732 0.05775916 0.009709788 0.008740353 0.0111877 0.026954075 0.029337268 0.01693837 0.014004524 0.04775474 0.005641371 0.0062140026 0.008771242 0.020224467 0.010484384 0.024043396 0.046517402 0.00022394408 4.573924e-05 8.2568244e-05 4.9897353e-05 8.672635e-05 9.504258e-05 4.158113e-05 6.296571e-05 0.00012890149 2.7918757e-05 3.207687e-05 2.7918757e-05 8.0786194e-05 5.7619563e-05 7.0093905e-05 0.00010276479 5347.0 22.993267 122945.0 0.00380658 8.94709e-05 0.00039041849 6.506975e-05 0.002342511 0.0003985522 8.94709e-05 0.000122005775 0.00027654643 0.00028468014 0.0005124243 0.00040668593 0.0003497499 0.009963805 0.0007889707 0.00032534872 0.04370247 0.01815446 0.044052217 0.014250275 0.04134369 0.015893286 0.043084305 0.01393306 0.044328764 0.016324373 0.000577494 0.0003578836 0.0006669649 0.00037415104 8.133718e-05 9.760462e-05 0.000951645 0.0059620156 0.0051730447 0.010142746 0.0049859695 0.011273334 0.0033022896 0.0021473016 0.0034405629 0.012298182 0.0017162146 0.0027898655 0.004766359 0.004660621 0.0030989468 0.0064419047 0.009020294 0.0018300866 0.0041807313 0.01430721 0.009134166 0.0043759407 0.0041237953 0.0024401154 0.0019439587 0.0037415104 0.0010655171 0.0020903656 0.00081337185 0.0019520924 0.0020334297 0.0155110005 0.0001789418 0.024360487 0.012298182 0.021204604 0.03603237 0.039489202 0.01085038 0.0097116595 0.030680386 0.026702998 0.0084021315 0.007369149 0.03334011 0.0107853105 0.029143114 0.02653219 0.030379439 0.0043108705 0.029720606 0.022164382 0.046508603 0.010272887 0.00999634 0.0068079224 0.027012078 0.0046687545 0.0007320347 0.00020334296 0.00038228475 0.0001789418 0.00021147668 0.00021961039 5.6044264 0.0 2.0 14.0 4.0 843017.0 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 -6.6262445 0.0 0.0 0.0 0.0 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