Input: 0.056701448 0.008305328 0.006165025 0.0056542945 0.005748567 0.004961234 0.0041966923 0.0054274183 0.005058615 0.0056325393 0.0037512276 0.004473295 0.0049519106 0.0031721233 0.004321008 0.004640085 0.0050461832 0.003770911 0.004935335 0.004158362 0.004351051 0.003179375 0.0041086352 0.0038475723 0.0050720824 0.0033472015 0.0031617638 0.0029328156 0.0041521457 0.0034342224 0.0037843785 0.0037937022 0.006168133 0.0038196014 0.0034818768 0.0030270885 0.0048959684 0.0041676853 0.003832033 0.0037232565 0.0047291783 0.0038931547 0.00333477 0.0031006418 0.00437177 0.0037284363 0.0037222207 0.0035802934 0.005521691 0.0039356295 0.0031130735 0.0029079525 0.0036735302 0.0030695628 0.002687292 0.0028768736 0.004173901 0.0033150865 0.0035264234 0.003361705 0.004004003 0.0032218497 0.0034974164 0.0034528698 0.0065959864 0.003944953 0.0036165523 0.0032249577 0.0041573257 0.0032259936 0.0035440347 0.003064383 0.004999565 0.0037740187 0.0037015013 0.0035875451 0.004129355 0.003125505 0.00356579 0.0034653014 0.0051642833 0.0036300197 0.003650739 0.00333477 0.0039356295 0.0033699926 0.003361705 0.003534711 0.004646301 0.0036476313 0.0038113135 0.0035119199 0.004120031 0.003390712 0.0036849258 0.0037905942 0.005911214 0.0036258758 0.0033399498 0.0029566428 0.0040133265 0.0030519515 0.003267432 0.0030291604 0.0049840254 0.0031627999 0.0031938788 0.0030560954 0.0035751136 0.0028271473 0.0030840666 0.0031928427 0.004509554 0.0032943673 0.0032259936 0.0031451883 0.0038921188 0.003330626 0.0032943673 0.003626912 0.004619366 0.0032881515 0.003478769 0.0031773034 0.00403819 0.0031969866 0.0034673733 0.0033492735 0.008653412 0.0046069343 0.0040060747 0.0035284953 0.0043665906 0.0034280068 0.0030198367 0.003392784 0.0045437403 0.0038372127 0.0029545708 0.0031897349 0.0037294724 0.0027950325 0.0028437227 0.0029835778 0.0052357647 0.0032083823 0.0034912005 0.0030281243 0.0036590267 0.0031824831 0.003301619 0.0032653601 0.004555136 0.002838543 0.003035376 0.0027090472 0.0035202075 0.0032208138 0.0029939376 0.0031514042 0.0050130324 0.0034041796 0.0032663962 0.0027971042 0.0037781626 0.003008441 0.0030550594 0.003187663 0.004137642 0.0030011893 0.003124469 0.0030136209 0.0036445232 0.0028354349 0.0029141682 0.0030291604 0.004664948 0.0031120374 0.0038465364 0.002859262 0.003566826 0.0031472603 0.0029846139 0.0031203253 0.0042484906 0.0031431164 0.0033389137 0.0031752314 0.0036465952 0.003184555 0.003327518 0.0033513452 0.006722374 0.0040640887 0.0037242926 0.0033368417 0.004111743 0.0032508567 0.003303691 0.0032259936 0.004329296 0.003330626 0.0031192892 0.00309339 0.003651775 0.002981506 0.0030747429 0.0027939964 0.004241239 0.0032684682 0.0030840666 0.0029949734 0.0037170409 0.0030250165 0.0029348875 0.0029442112 0.0039801756 0.0031141094 0.0027308026 0.0026344578 0.0035284953 0.0029411034 0.0035761497 0.0028861973 0.0049550184 0.0032353173 0.0033969278 0.0029835778 0.0038144214 0.0030768148 0.0031918068 0.0029058806 0.0044370363 0.0054543535 0.0034611574 0.0031348288 0.003798882 0.0030871744 0.0032456769 0.0031866268 0.004615222 0.0033192304 0.003416611 0.0030333041 0.0037367241 0.0030809585 0.0033130145 0.003246713 0.004346907 0.003035376 0.0031928427 0.0028696219 0.0040112548 0.0030913183 0.0042236275 0.0045168055 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922384 0.062030397 0.06244396 0.05533145 0.060589943 0.0595589 0.054942276 0.054483056 0.060463853 0.053171806 0.052117925 0.052928444 0.056433067 0.050534256 0.05666657 0.053819906 4020.0 5.7034826 22928.0 0.017140614 0.010423936 0.009420795 0.008592115 0.013476972 0.012473831 0.011775995 0.011514306 0.0125610605 0.009726099 0.0084612705 0.008592115 0.013869504 0.0105111655 0.011819609 0.009987788 0.01674808 0.011863224 0.008766574 0.0075453594 0.009813328 0.008504885 0.007807048 0.008417656 0.010249477 0.0084612705 0.009682484 0.008853803 0.011557921 0.008984648 0.009638869 0.0092027215 0.01801291 0.010860084 0.010336706 0.009115492 0.010947313 0.008853803 0.010729239 0.008330425 0.014262037 0.011601536 0.009726099 0.008941033 0.011427076 0.009377181 0.011688765 0.009595254 0.0147854155 0.009595254 0.0099441735 0.008984648 0.012124913 0.009333566 0.00955164 0.009813328 0.01373866 0.009246336 0.010598395 0.00955164 0.011121772 0.009856943 0.010380321 0.010685625 0.01792568 0.010990928 0.009682484 0.008199581 0.013084439 0.008243196 0.009377181 0.008330425 0.015439637 0.009289951 0.008941033 0.008722959 0.011339846 0.008025122 0.009900558 0.007894278 0.013171668 0.008025122 0.008722959 0.008810189 0.011427076 0.009420795 0.008199581 0.007894278 0.010903698 0.008810189 0.0119940685 0.008592115 0.011339846 0.009028262 0.0099441735 0.008766574 6.554675 0.0 0.0 0.0 14.0 965284.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20347004 0.021949552 0.01576979 0.013733488 0.009423674 0.008228386 0.002695559 0.0033640575 0.006229052 0.0020270604 0.0032254288 0.001466384 0.0018884316 0.005323344 0.0016204161 0.0059610363 0.0056006014 0.0019346412 0.0010166108 0.0010843849 0.0014941099 0.0081945 0.0009888851 0.0010628204 0.0039555402 0.0026216237 0.0008071274 0.0014170938 0.0015495613 0.0010042882 0.0009888851 0.0008964659 0.011697185 0.0008194499 0.0021533666 0.0007609178 0.016130224 0.0011891266 0.0005699182 0.00081636925 0.003139171 0.000622289 0.00060996646 0.0011305944 0.0008286918 0.0013154327 0.001152159 0.0012753844 0.006278342 0.00091494975 0.0010504979 0.0047380226 0.0018360608 0.00075783714 0.00067157927 0.0007239501 0.0053356662 0.0019223186 0.00090878847 0.0038015083 0.0018237382 0.0014078519 0.0012137716 0.0007855629 0.00786179 0.009432916 0.0014694647 0.002430624 0.010381753 0.0052093603 0.0012414975 0.0011706428 0.06612283 0.008733611 0.0006530954 0.0015711258 0.010578914 0.0043036523 0.0011244331 0.0013185134 0.0046918127 0.00058224075 0.0014817873 0.0021903343 0.003120687 0.001962367 0.001919238 0.0038662017 0.0026893977 0.00064077287 0.00055143435 0.0013000296 0.00443612 0.0015002711 0.0016019322 0.003139171 0.0031484128 0.0026462688 0.00095807866 0.0021348826 0.002926607 0.0057577137 0.0018391414 0.0010443366 0.0024028982 0.0032777996 0.0003727573 0.000665418 0.0031514934 0.0018422221 0.0026986396 0.002566172 0.0047441837 0.00063153094 0.0034687994 0.0024768335 0.014796308 0.0044145556 0.0011059493 0.001142917 0.0036289925 0.0016604643 0.00060072454 0.0008348531 0.0014817873 0.00076707907 0.0007609178 0.000776321 0.0072025335 0.0010843849 0.00046517645 0.010856171 0.0025630915 0.0093620615 0.00050522474 0.000665418 0.001962367 0.013419263 0.0022765922 0.042032234 0.0008132887 0.015896097 0.0006284503 0.0006900631 0.0028557521 0.00036043473 0.0005483537 0.00125382 0.0007023857 0.00043128943 0.00037583793 0.0005483537 0.0013123521 0.00032962835 0.00029882195 0.00038507985 0.000733192 0.0003727573 0.0003481122 0.00052986987 0.0017559641 0.0006130471 0.0006500148 0.00053603115 0.000665418 0.0005945633 0.0006068858 0.0007455146 0.0015064324 0.00056683755 0.00056683755 0.0005267892 0.00069314375 0.00043128943 0.0005699182 0.00052062795 0.002030141 0.00033887028 0.0004590152 0.00040972495 0.0006192084 0.00047441837 0.00039124113 0.0011922072 0.0020024152 0.0010350946 0.003009784 0.0011675621 0.00081020803 0.0004682571 0.00072086946 0.00083793374 0.0071994527 0.0017128352 0.00081020803 0.0050768927 0.0044053136 0.000776321 0.0012291749 0.0034441543 0.002985139 0.002575414 0.0006900631 0.0022704308 0.03413348 0.0010474172 0.0019346412 0.0023998176 0.0018822703 0.000554515 0.0017467221 0.00064693415 0.000511386 0.00047441837 0.000844095 0.0009858044 0.0026924782 0.0011860459 0.00083177246 0.0020917538 0.0006438535 0.00040972495 0.00041896687 0.00056683755 0.002227302 0.00047133773 0.0004682571 0.0015957709 0.0007855629 0.0004959828 0.0004128056 0.00040048306 0.010480333 0.003795347 0.0010350946 0.0031514934 0.003736815 0.0007147082 0.0004682571 0.00046517645 0.002951252 0.0009796431 0.0010967074 0.0005267892 0.00063153094 0.00045593455 0.0041773464 0.0009026272 0.0022581082 0.001373965 0.0008903046 0.0006130471 0.00072703074 0.0012753844 0.0032038644 0.03935208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010389883 0.00048828125 0.0004743745 0.00011588954 5.5626977e-05 6.953372e-05 5.5626977e-05 0.0001498838 0.00016070016 0.00030285798 7.107892e-05 4.017504e-05 4.9446204e-05 5.4081785e-05 3.3994264e-05 0.00014679342 0.012483621 0.00038784364 0.0006088064 0.0002781349 0.00024105023 8.9621244e-05 0.00024723102 0.0005130044 0.00013597705 0.0003553946 8.6530854e-05 6.644333e-05 7.5714495e-05 8.035008e-05 9.116644e-05 8.1895276e-05 0.011729566 0.00033376185 0.0003553946 0.00031676472 0.0004249283 0.00026577333 0.0004264735 0.00024259543 0.0007679613 0.00018851364 8.3440464e-05 7.262411e-05 0.000114344344 7.107892e-05 0.00012207031 0.00030749358 0.017658476 0.0004481062 0.0003739369 0.0004249283 0.0009132096 0.00068915647 0.0011897993 0.0010924521 0.00088385085 0.00028895124 0.00023177908 0.00016842612 0.00018387806 0.00015451938 0.00023950504 0.0003754821 0.04133857 0.0019083144 0.0009796529 0.0017429787 0.0022528926 0.0021014635 0.0027968008 0.0018109672 0.002464584 0.00073860266 0.00056245056 0.0012840561 0.00073396706 0.0005253659 0.0006242583 0.0045907707 0.0300123 0.0020767406 0.00434354 0.002662369 0.0027643517 0.0022946128 0.009915509 0.005494709 0.00036466576 0.0005701765 0.0004728293 0.0012284291 0.0009348423 0.0005330919 0.0009255711 0.0050265156 0.03375785 0.0032619042 0.0042786417 0.0029621366 0.0029976761 0.0026206488 0.0066922344 0.0045227823 0.00094720384 0.0011032684 0.0012655137 0.00091011915 0.0008467662 0.0009781077 0.0018372354 0.003802722 0.021067172 0.001219158 0.001761521 0.0013937649 0.0023533301 0.002056653 0.004519692 0.0031382886 0.0018434162 0.0009502942 0.0033577061 0.0008251335 0.0013628609 0.0008004104 0.0013891292 0.0025943804 0.0069147423 0.0007540546 0.0010430058 0.0010800905 0.0039587864 0.0007988652 0.00065979775 0.00093638746 0.0039510606 0.00026113776 0.00019623962 0.00042801868 0.004871996 0.00040175038 0.0009271163 0.0012979629 0.11851019 0.023344789 0.029367954 0.022814786 0.11578292 0.024217824 0.010668018 0.024985785 0.0972205 0.006462001 0.004362082 0.010700467 0.06248146 0.012499073 0.024044761 0.042284228 0.0020999184 0.00039093403 0.0006783401 0.00042801868 0.0021972656 0.00051454955 0.0002565022 0.00044656103 0.0019747578 0.0001282511 0.00013134147 0.00024414062 0.0011975252 0.00039556963 0.00052073033 0.0010538222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1423.0 13.325369 18962.0 0.07267166 0.0011074782 0.013078789 0.00010547411 0.013237 0.00010547411 0.00015821116 0.002056745 0.0018985339 0.00031642232 0.00036915936 0.0007383187 0.00042189643 0.010178251 0.006961291 0.007963295 0.006961291 0.0046935976 0.0018457968 0.0041662273 0.0016348487 0.00031642232 0.00063284463 0.00036915936 0.0025841156 0.008332455 0.0021622193 0.0021622193 0.011918574 0.007752347 0.010441937 0.0015821116 0.009176247 0.060911298 0.0045353863 0.008121506 0.011338467 0.011707625 0.0034279085 0.0031642232 0.023204302 0.0065921317 0.00058010756 0.0024786415 0.0059065497 0.0034806456 0.003006012 0.0037970678 0.008543403 0.0008965299 0.006064761 0.012498681 0.0153992195 0.010178251 0.019934606 0.029269064 0.002847801 0.0013711634 0.0007383187 0.0024259044 0.0076996097 0.0075941356 0.0153992195 0.02146398 0.00094926695 0.029374538 0.00733045 0.018721653 0.018668916 0.06971838 0.007963295 0.0055373907 0.0044826497 0.034700982 0.00063284463 0.0022149563 0.024891889 0.016875857 0.028583482 0.02684316 0.018668916 0.0016348487 0.03580846 0.021042084 0.049309146 0.01840523 0.0053264424 0.005748339 0.008174243 0.010705622 0.0018985339 0.0007910558 0.0011602151 5.2737054e-05 0.00021094822 0.0008965299 5.6406612 0.0 4.0 0.0 2.0 324608.0 348160.0 1.0 2.0 235.0 1.0 1.0 0.0 0.0 0.0 1540437400.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 218624.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70144.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218624.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4002624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7481284 0.0 0.0 0.0 0.0 5.544151 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.067917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.23161 0.0 2.978676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69736.0 0.0 0.0 0.0 0.0 12240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218144.0 0.0 17744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 1.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 286896.0 680.0 287004.0 17824.0 323584.0 12240.0 307200.0 0.0 0.0 1932.0 344064.0 56.0 247744.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 226048.0 0.0 0.0 2144.0 233176.0 96.0 286456.0 0.0 0.0


Input: 0.13559473 0.01600978 0.007000613 0.0054978635 0.0057984134 0.0054034838 0.0027031163 0.0028332323 0.0077391593 0.0026325604 0.0040051937 0.0031273682 0.0034508258 0.0031915097 0.0025308498 0.011805746 0.00748809 0.0020910208 0.0017006724 0.0015000005 0.0019324991 0.010015275 0.0017849731 0.0015412344 0.0049609058 0.0006496642 0.00061576074 0.0006560784 0.0009841176 0.00071380596 0.00069822866 0.0014917536 0.007698842 0.00048656092 0.00046182054 0.000590104 0.046611805 0.0005433722 0.0005644473 0.00042883336 0.003463654 0.00049664034 0.00044166172 0.002150581 0.0008283448 0.0006212586 0.00053787435 0.0009181432 0.0062025064 0.00044441063 0.00060843024 0.009991451 0.00080910226 0.000590104 0.00044715957 0.00040684192 0.0033729393 0.0017180823 0.00049938925 0.0032519863 0.0007660357 0.00088790496 0.0004902262 0.00046365315 0.008152415 0.011480455 0.0021175938 0.0015760543 0.016051013 0.006460906 0.0008750766 0.0015833847 0.086097464 0.00735156 0.000657911 0.0016960909 0.017029632 0.0024007338 0.0010510082 0.0013753822 0.005469458 0.00069364713 0.000430666 0.0014624317 0.0041343933 0.0012755044 0.0013488092 0.002540013 0.003050398 0.00045265743 0.00040775823 0.0015485649 0.0056948704 0.0011847896 0.0013341482 0.002425474 0.002781919 0.00034086755 0.00039126462 0.0017684795 0.0014725111 0.00033170445 0.004646611 0.00046182054 0.002469457 0.00044349433 0.00034178386 0.00071197335 0.002982591 0.00039859512 0.00040317667 0.00035827744 0.0026939532 0.00038485046 0.00050855236 0.0008365916 0.01251497 0.004938914 0.00041967025 0.00049572403 0.0028634707 0.0007394627 0.00042974966 0.00088790496 0.0036377532 0.001103238 0.0011701286 0.0020012225 0.0031933424 0.0019874778 0.00033903492 0.013051928 0.0072883344 0.015492979 0.00053787435 0.00086866244 0.0020131343 0.026485957 0.00029047046 0.056749865 0.004850948 0.019197624 0.000846671 0.0008457547 0.00512126 0.00039401356 0.00044441063 0.0004407454 0.0022128902 0.0008448384 0.00035277958 0.00037568735 0.0013625539 0.0006533295 0.00027214424 0.00035186327 0.0017849731 0.00032437395 0.00032529025 0.00051130133 0.0013973736 0.0002758095 0.00033995122 0.00036744055 0.0012287726 0.00029963357 0.00029596832 0.0003207087 0.0012498477 0.00027397688 0.00028772152 0.0004224192 0.0014431892 0.00025931592 0.00033262075 0.0009318879 0.0013735496 0.00030696407 0.0002858889 0.0004581553 0.001882102 0.00027397688 0.00054062327 0.0014587665 0.0030036662 0.0026710455 0.0040949923 0.00082467956 0.0020525358 0.00048197937 0.0004673184 0.00060201605 0.013529326 0.0040015285 0.0023118516 0.004827124 0.003838425 0.0010033601 0.0014725111 0.0050791097 0.004699757 0.0061511933 0.0008723277 0.0036459998 0.021978626 0.0017584 0.0022083085 0.0029514364 0.002375077 0.0013231526 0.0030925483 0.00103818 0.0005946856 0.0007330485 0.00082467956 0.0009456325 0.0023320105 0.0012351867 0.0006716557 0.0019141729 0.0005497864 0.0004764815 0.00048014676 0.0004590716 0.0016566896 0.0005882714 0.0005571169 0.00067073933 0.0008567504 0.0003271229 0.00038576676 0.0003793526 0.020222059 0.002365914 0.0006386685 0.00400611 0.0027663417 0.0012910817 0.00050763605 0.00061301177 0.0035406242 0.0008897376 0.0014908373 0.00070281024 0.0009071475 0.00060201605 0.0021725725 0.00156964 0.0030366534 0.0015302387 0.001306659 0.0009419673 0.00081001857 0.0010693345 0.0023585835 0.028262684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019891953 0.002143114 0.005256825 0.0015148651 0.0088785505 0.0010320907 0.0012863274 0.0018833706 0.010905101 0.001138558 0.00089304073 0.0015442354 0.0029489617 0.00097380904 0.002163306 0.002395515 0.18432847 0.03290621 0.05604358 0.026356174 0.14239043 0.028800793 0.016707111 0.029999008 0.13041331 0.013534201 0.008097025 0.017598776 0.06969939 0.016108692 0.032062273 0.04363876 0.014960497 0.0037759193 0.0055519044 0.0030847995 0.014739761 0.0036350337 0.0023064865 0.0037451722 0.012781587 0.0010867012 0.00073150406 0.0016433601 0.0076899705 0.0019623032 0.0036116291 0.005159536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3444.0 6.8568525 23615.0 0.028625874 0.00033876774 0.00042345966 0.00029642176 0.0844802 0.00046580564 0.0010163032 0.0005081516 0.0069870846 0.0010163032 0.0005081516 0.016980732 0.0016514927 0.00033876774 0.0005081516 0.0005928435 0.012322676 0.00055049756 0.00055049756 0.027482532 0.0027524878 0.0003811137 0.00071988144 0.00063518947 0.0056320135 0.01638789 0.00055049756 0.01702308 0.0014397629 0.0006775355 0.00055049756 0.0005081516 0.023374973 0.15278424 0.0015244548 0.0008469193 0.03599407 0.027355494 0.0013974169 0.001185687 0.06542452 0.0021596444 0.00021172983 0.001185687 0.02384078 0.0011009951 0.0011433411 0.00055049756 0.005293246 0.0006775355 0.00016938387 0.009104383 0.036375184 0.033241585 0.03590938 0.0383231 0.004192251 0.00029642176 0.0002540758 0.006690663 0.03633284 0.03264874 0.032564048 0.03345331 0.004869786 0.00055049756 0.0001270379 0.006648317 0.0044463263 0.00063518947 0.025449926 0.00071988144 0.0044463263 0.0005081516 8.4691936e-05 0.0005928435 0.007495236 0.0002540758 0.00080457336 0.00029642176 0.0041075586 0.0001270379 0.00055049756 0.00080457336 0.022019902 0.0048274403 0.0013974169 0.00046580564 0.008469193 0.0009316113 0.00029642176 0.00088926527 0.011348719 0.0034723692 0.0019902603 0.0018632226 4.962631 0.0 0.0 0.0 2.0 1091333.0 2338816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 2.0 5.0 2.0 1612800.0 1024.0 4096.0 8.0 0.0 0.0 1.0 1.0 0.0 0.0 -3584.0 0.0 0.0 -35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440320.0 7168.0 0.0 0.0 0.0 124416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1612800.0 0.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2111707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3134.0 0.0 0.0 -35492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440224.0 6736.0 0.0 0.0 0.0 123948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1612476.0 0.0 27708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336.0 2057808.0 340.0 2036176.0 27708.0 2273280.0 123948.0 2134016.0 7456.0 2287104.0 24052.0 2301952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5792.0 1617920.0 64.0 2036016.0 0.0 0.0


Input: 0.16847898 0.012716528 0.0069056386 0.006671188 0.005743073 0.0014357682 0.002567332 0.0019027321 0.004882775 0.00082735904 0.001030808 0.0005444681 0.0038132146 0.0010908738 0.0022166248 0.0046657627 0.01093199 0.0058147646 0.0029296647 0.00063553575 0.001759349 0.011350513 0.00090873864 0.0005367177 0.0017729122 0.0006200349 0.00043596202 0.00039914745 0.0019686108 0.0025537687 0.0003681457 0.00052121683 0.0030788607 0.00052121683 0.0005774075 0.00028289092 0.0010579345 0.00082929665 0.00014144546 0.00014144546 0.0010618097 0.00039720983 0.00010463088 0.0015384615 0.0008854873 0.00025576437 0.00042821158 0.0005774075 0.0015946522 0.00074404187 0.00043208682 0.0010521216 0.00090873864 0.00033908157 0.00015694633 0.00011625654 0.0013853904 0.00046502615 7.750436e-05 0.0019066073 0.0009261771 0.00078666926 0.0010133695 0.0007886069 0.018829685 0.008513854 0.0022282503 0.0008661112 0.001085061 0.0071536526 0.0013698896 0.0008583608 0.0016818446 0.0005793451 0.0005270296 0.00022476264 0.001085061 0.007639992 0.0009281147 0.00068010075 0.011807789 0.005793451 0.0047936444 0.0024801395 0.0005967836 0.0040263515 0.0034760705 0.0027920946 0.002735904 0.0004999031 0.000738229 0.0013931409 0.0045262547 0.0020383648 0.0015074598 0.0016857198 0.0016159659 0.0024646386 0.0010288703 0.0008796745 0.0024917652 0.0032144934 0.0038577795 0.00021894982 0.006719628 0.0011315637 0.003977911 0.00026157722 0.0018504165 0.0008428599 0.0016430924 0.0015714009 0.0017438481 0.0004107731 0.0036291417 0.0014241426 0.0029122264 0.0019027321 0.0006665375 0.00027320287 0.0023619453 0.00035070724 0.00015307112 0.00020344894 0.001689595 0.0032513079 0.0009126138 0.0010559969 0.0039217207 0.0015326487 0.00070528965 0.0051850416 0.0017089711 0.0071769035 0.00024801394 0.00011431893 0.00076729315 0.010141445 8.137958e-05 0.023966286 0.00088936253 0.015913583 0.000391397 0.0003855842 0.0036233289 0.001590777 0.0014396434 0.0004088355 0.0007266034 0.00230963 0.00011431893 0.00016469676 0.0012478202 0.00011238132 4.6502617e-05 8.9130015e-05 0.0010288703 0.00043789964 0.0003255183 0.0005444681 0.0016547181 0.00095911644 0.0004127107 0.0001085061 0.0009649293 9.1067624e-05 0.00038364658 7.944197e-05 0.001040496 3.293935e-05 0.00011625654 3.875218e-05 0.0012749467 0.00017632241 0.0004689014 0.0012187561 0.0013815152 0.0002770781 0.000302267 0.00030807982 0.003007169 0.00018794807 3.681457e-05 0.000100755664 0.0017186592 0.0006219725 0.00021894982 0.0002596396 0.0018058516 0.0012323193 0.00094361557 0.002730091 0.0055512497 0.0026138346 0.0020732416 0.0016527805 0.0023851967 0.00013563262 0.0003875218 0.0028153458 0.0019453594 0.00024607635 0.00039333463 0.0001724472 0.0018949816 0.00011431893 0.00024220112 0.0006897888 0.0024045727 0.00050377834 0.00051152875 0.0016721565 0.0017612865 0.00013369502 0.00069560163 0.0013447007 0.0024142608 0.00040302266 0.0005095912 0.0023154428 0.0025653944 0.0002363883 0.00040108507 0.0009494284 0.0030478588 0.00045921333 0.0022321255 0.00027514048 0.0010521216 0.00042433638 0.00028870374 0.00012788219 0.0018194148 0.0008854873 0.00022088742 0.0011490021 0.0027475297 0.00031776787 0.00039720983 0.000782794 0.0017806627 0.00045727572 0.0007072273 0.00021894982 0.00085642317 0.00016469676 0.00042239876 0.00090873864 0.003007169 0.0014125169 0.0035807013 0.007240845 0.013367564 0.02059872 0.03300911 0.28698313 0.015904572 0.0 0.0 0.0 0.0 0.0 1.1648857e-05 6.7951664e-06 2.3297715e-05 2.9122143e-06 3.3005093e-05 1.2619595e-05 1.2619595e-05 1.7473285e-05 3.009288e-05 0.08136047 2.9122143e-06 0.0 5.8244286e-06 0.0 2.9122143e-06 0.0 5.8244286e-06 1.3590333e-05 2.9122142e-05 5.8244286e-06 4.562469e-05 3.1063617e-05 3.8829523e-05 1.4561071e-05 9.707381e-06 0.0037703468 0.0023627765 6.989314e-05 4.8536902e-05 3.2034357e-05 2.03855e-05 0.0004921642 0.00010678119 0.00012910816 6.4068714e-05 5.7273548e-05 0.00011843004 2.8151404e-05 0.000112605616 9.4161594e-05 6.795167e-05 0.02402868 0.005851609 0.00021841607 0.000163084 0.00011551783 0.00031840208 0.0004950764 0.00026404075 0.0002494797 0.00020579647 9.027864e-05 0.0001834695 0.00019220613 0.00026404075 0.00013299112 0.00013202037 0.022932716 0.028286336 0.0009979188 0.0005591451 0.00025530413 0.0019540957 0.00072319986 0.00076979527 0.00024850894 0.00021259164 0.00012134226 0.00019997204 0.00014463997 0.00029898732 0.00023491861 0.00022326976 0.012483692 0.007100949 0.00029316288 0.00015823031 0.00034655348 0.0008445421 0.0008028004 0.00048051536 0.00029704586 0.00011163488 0.00013493259 0.00016696694 0.00016211325 0.00025530413 0.0002523919 0.00012910816 0.014308679 0.015964758 0.00095326477 0.00059506245 0.0006445701 0.0016502547 0.003172372 0.001037719 0.001056163 0.0013648578 0.0002902507 0.000652336 0.001060046 0.0013308818 0.00070572656 0.0008367762 0.06013625 0.0227939 0.0015094978 0.0012765205 0.0011775052 0.0028073746 0.0037810248 0.0019065295 0.0015114392 0.001767714 0.0005921502 0.0009882114 0.0015900689 0.001967686 0.0011182902 0.0011755638 0.06338046 0.015931753 0.0010881973 0.0009823869 0.00047663238 0.0024986798 0.0011668272 0.0024714991 0.0015056147 0.0005241986 0.0002727774 0.00035820235 0.0006008869 0.00061253575 0.0004183881 0.0004941057 0.010358746 0.0016434595 0.0001096934 0.000203855 0.00025433337 0.00051352044 0.0006144772 0.0012483691 0.00074552686 0.00015920104 8.348347e-05 0.00010872266 0.0001426985 9.513233e-05 0.00014852293 0.0001426985 0.0037266635 0.007828032 0.00067466294 0.00081736146 0.00074843905 0.0015027025 0.00074358535 0.0029287168 0.0016172497 0.0007503805 0.00038635376 0.00050866674 0.00053584744 0.00062418455 0.0003795586 0.00040771 0.009367622 0.014240728 0.0018444023 0.0019560372 0.0015211465 0.0026889446 0.0020773795 0.0062651434 0.0036043504 0.0011590612 0.0006397164 0.00064942375 0.0009425867 0.0008736643 0.0009251134 0.0006193309 0.013670905 0.0055089383 0.0016240448 0.00043586138 0.00023783083 0.001875466 0.0013833018 0.0010406312 0.00053099374 0.004198442 0.0004941057 0.00030675324 0.00040965146 0.000856191 0.00055623293 0.0004280955 0.003970319 0.0403264 0.016140463 0.0021463018 0.0028229062 0.017357767 0.018029518 0.007532927 0.005055604 0.032919668 0.0058613163 0.0021725118 0.0041071926 0.0074397367 0.006389398 0.005558446 0.030911213 0.04039047 0.018049903 0.0025326556 0.004080983 0.02029425 0.01749173 0.0077367825 0.0063991053 0.029775448 0.0052050976 0.0025443046 0.005197332 0.008559968 0.007467888 0.006003044 0.021054339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1574.0 10.254765 16141.0 0.04076575 0.0047704605 0.0066290814 0.0029737935 6.195403e-05 0.00012390806 0.00012390806 0.0003717242 0.0 0.004027012 6.195403e-05 0.00092931045 0.00012390806 0.0018586209 0.0035313796 0.008363794 0.014559197 0.014249427 0.005699771 0.0031596555 0.003779196 0.0011771265 0.0016727588 0.0006814943 0.0008054024 0.0006195403 6.195403e-05 0.001982529 0.0038411499 0.0055758627 0.017656898 0.014001611 0.027011957 0.022117589 0.013444024 0.020878509 0.010594139 0.0055758627 0.00446069 0.0017966669 0.00043367821 0.0050182766 0.0 0.00024781612 0.013753795 0.01183322 0.009169197 0.0068768975 0.01152345 0.005513909 0.014435289 0.040332075 0.0053900005 0.0067529893 0.005823679 0.00024781612 0.00012390806 0.0009912645 0.0 6.195403e-05 0.0031596555 6.195403e-05 0.00092931045 0.029490119 0.006567127 0.05321851 0.023170806 0.018152531 0.0207546 0.07056564 0.011275633 0.0022922992 0.001982529 0.027569544 0.0018586209 0.0032835635 0.02199368 0.020197013 0.034818165 0.029056441 0.014249427 0.0046465523 0.048695866 0.029428164 0.03289759 0.009726782 0.016046094 0.004274828 0.0012390806 0.005947587 0.001982529 0.00092931045 0.0027879314 0.0074344836 0.013939656 0.016727587 5.6511407 1.0 0.0 0.0 1.0 516100.0 528384.0 0.0 0.0 103.0 0.0 1.0 0.0 0.0 0.0 1174501600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 503808.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -503808.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.228169 0.0 3.0283248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -500440.0 0.0 2336.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 502292.0 2336.0 524288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 488.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056842186 0.008309326 0.0061844816 0.0056600207 0.005761797 0.0049693943 0.004195685 0.005424273 0.0050514387 0.005636134 0.003748076 0.0044605117 0.0049465466 0.0031727273 0.004325502 0.0046422556 0.0050431304 0.0037626156 0.004934084 0.0041562207 0.0043556197 0.00317792 0.0041167564 0.0038415443 0.005079479 0.003338893 0.0031675345 0.0029328254 0.004148951 0.0034406695 0.003788579 0.0037937716 0.006172019 0.0038135038 0.0034811725 0.0030179853 0.0048904656 0.004164529 0.0038415443 0.0037200355 0.0047274153 0.0038945097 0.0033316233 0.003094837 0.004370159 0.0037158816 0.0037231513 0.00358918 0.0055218954 0.003958899 0.0031021067 0.0028943997 0.003672263 0.0030719892 0.0026887695 0.002864282 0.0041811457 0.0033181224 0.0035216752 0.0033420087 0.0040025176 0.0032184229 0.0035071357 0.0034645558 0.0066050882 0.003953706 0.0036172206 0.0032205 0.004151028 0.0032153071 0.003540369 0.003067835 0.005006782 0.0037740394 0.0037034191 0.003585026 0.0041312957 0.0031291088 0.00355387 0.003466633 0.0051802173 0.003629683 0.0036514923 0.0033326617 0.003926704 0.003379396 0.0033596638 0.0035351762 0.0046443325 0.0036514923 0.0038083112 0.0035092128 0.004106371 0.0033877043 0.0036909566 0.0037875404 0.0059175775 0.003629683 0.0033472013 0.002951519 0.0040118643 0.0030532957 0.0032610027 0.0030304478 0.004975626 0.0031654574 0.0032038833 0.00305018 0.0035787947 0.0028341645 0.0030834132 0.0031883053 0.0045020534 0.0032869661 0.003222577 0.003141571 0.0038924327 0.0033316233 0.0032880048 0.0036265673 0.0046277163 0.003292159 0.0034801338 0.0031706502 0.0040399046 0.003193498 0.0034676713 0.003338893 0.008660351 0.0045996755 0.0040201726 0.0035258294 0.0043753516 0.0034375538 0.0030127927 0.0033877043 0.004538402 0.003829082 0.0029525575 0.0031893437 0.0037241897 0.0027988544 0.0028424729 0.0029795596 0.0052425293 0.0032049217 0.0034905192 0.0030262936 0.0036649932 0.0031862282 0.0033025441 0.0032641185 0.0045467103 0.002835203 0.0030397945 0.002699155 0.0035144056 0.003228808 0.0029857908 0.0031498794 0.005005743 0.0034032823 0.0032713881 0.0027874303 0.0037740394 0.0030148698 0.00305018 0.0031851896 0.0041406425 0.0029920219 0.003125993 0.0030127927 0.0036462997 0.0028393571 0.0029099777 0.0030429102 0.004670296 0.0031176847 0.0038436214 0.0028497425 0.0035611396 0.0031550722 0.0029909834 0.003125993 0.0042507276 0.003139494 0.003327469 0.003164419 0.0036504536 0.0031862282 0.0033243534 0.0033513554 0.0067297127 0.0040627527 0.0037210742 0.0033337004 0.004114679 0.0032506173 0.0033015057 0.0032319238 0.0043338104 0.003325392 0.0031114535 0.0030823746 0.0036421455 0.0029847522 0.003075105 0.0028009315 0.004251766 0.003269311 0.00308549 0.0029920219 0.0037158816 0.0030169468 0.0029349024 0.0029452879 0.0039817467 0.0031072996 0.002730311 0.0026326885 0.0035299836 0.0029452879 0.0035819104 0.0028829756 0.004950701 0.003236078 0.0033877043 0.0029754054 0.0038114267 0.0030647195 0.003195575 0.0029006307 0.004437664 0.0054595834 0.0034676713 0.0031322243 0.0037833864 0.0030709507 0.003236078 0.0031851896 0.004615254 0.0033212379 0.0034167832 0.0030335635 0.003745999 0.00308549 0.0033087754 0.0032433476 0.0043587354 0.0030314864 0.0031883053 0.002860128 0.0040118643 0.0030875672 0.0042216484 0.004528017 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045962916 0.00029380075 0.0002719607 0.0002714407 0.00030056076 0.00024128062 0.00033280085 0.0003083608 0.00033228085 0.0003520409 0.00032916083 0.0003525609 0.00052260136 0.0001539204 0.00018460047 0.0007410019 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.09929633 0.06202316 0.062433958 0.055317223 0.060602516 0.05955991 0.0549475 0.054459218 0.060461596 0.053153496 0.052101534 0.052909095 0.056414943 0.05051189 0.056609426 0.053820137 4016.0 5.7036853 22906.0 0.01711342 0.010433948 0.009386187 0.008600366 0.013489915 0.0124858115 0.011743648 0.011525365 0.012573125 0.009735441 0.008469396 0.008600366 0.013882825 0.010521261 0.011874618 0.009953724 0.016807823 0.011961931 0.00868768 0.00750895 0.009822754 0.008469396 0.007814546 0.008382083 0.010302978 0.008513053 0.009604471 0.00881865 0.011569021 0.008993277 0.009735441 0.009211561 0.018073868 0.010914171 0.010346634 0.009167904 0.010870514 0.008862306 0.010652231 0.008382083 0.014275735 0.011612678 0.0097790975 0.008993277 0.011438051 0.009386187 0.011656335 0.009604471 0.014799615 0.009604471 0.009953724 0.008993277 0.012049245 0.009386187 0.009560814 0.0097790975 0.013708198 0.009211561 0.010608574 0.009517157 0.0111324545 0.009822754 0.010390291 0.010695888 0.017986555 0.0110014845 0.009735441 0.0081637995 0.013097005 0.008251113 0.009386187 0.008338426 0.015454466 0.009298874 0.008905963 0.00868768 0.011350738 0.007945516 0.009910068 0.0079018595 0.013184318 0.0080328295 0.008731336 0.008731336 0.011438051 0.009429844 0.008207456 0.007858203 0.010914171 0.00881865 0.011874618 0.00855671 0.0112634245 0.008993277 0.009997381 0.008731336 6.554459 0.0 0.0 0.0 14.0 962894.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.21172854 0.011432777 0.0153636625 0.004141327 0.007145621 0.037797146 0.0129055055 0.0038074364 0.0030414732 0.0022249753 0.015777687 0.0035074763 0.0019073278 0.0027985452 0.0017474213 0.0013225679 0.001691472 0.0030930908 0.0019239321 0.002374414 0.0016875014 0.0025787188 0.0022506036 0.0020932236 0.002236526 0.0019239321 0.0016272207 0.0025263792 0.002001539 0.002975417 0.0022426622 0.0029490667 0.0048964615 0.0018131165 0.0020300553 0.0017290121 0.0015005227 0.0032338663 0.002333625 0.0017066324 0.0047513545 0.004074549 0.0033713933 0.0013676883 0.0022607106 0.0019401754 0.0018816994 0.0010933565 0.0016560977 0.0012467657 0.0020582103 0.0012009235 0.0010388511 0.00093778153 0.0009471666 0.0013171536 0.00087858364 0.0012803354 0.0008995195 0.0009785703 0.0009312842 0.0019697745 0.00092226017 0.0010031158 0.0015817393 0.0015369799 0.0012554289 0.002236165 0.0015810174 0.0020495472 0.0011218726 0.0011673539 0.0016838919 0.0014110039 0.001031632 0.0011193459 0.0010558164 0.0018423545 0.0013189584 0.0012146401 0.0012615653 0.00081794185 0.0013922338 0.0013972872 0.002081312 0.0010092522 0.0009940917 0.0010366854 0.00096088316 0.0011680758 0.0017044666 0.001146779 0.0008146932 0.0009958965 0.0008962708 0.0025801626 0.0019123813 0.0048574773 0.0017813517 0.0021419537 0.0019982904 0.0050942693 0.0015304826 0.0017531967 0.0013337578 0.004210271 0.0020784242 0.00239174 0.0031941605 0.0029017807 0.0031854974 0.016564947 0.0046170764 0.0012579557 0.006038548 0.0052650045 0.004065164 0.0022769538 0.002663906 0.0011002149 0.0012655358 0.0010846935 0.0014059504 0.003278626 0.0009399473 0.0018589589 0.0022798416 0.001302354 0.001682087 0.0013406161 0.0009969794 0.0011875678 0.0014517927 0.0010749474 0.0011489448 0.0010738645 0.00097496074 0.0010832496 0.00085692585 0.0010041987 0.0012229423 0.0014904157 0.0009962575 0.0009977014 0.0012456828 0.0014918596 0.00093597674 0.0016496003 0.00082480017 0.0008414045 0.00086594996 0.00089590985 0.0008868858 0.0011121266 0.0010218859 0.003090925 0.0010662844 0.001749587 0.0010388511 0.0010096132 0.0012402685 0.0010031158 0.0011669929 0.000942835 0.00095619063 0.0019477557 0.0009302013 0.0008738911 0.00085584295 0.0015492527 0.0008435702 0.00084862375 0.00093778153 0.0018600418 0.00085512106 0.00091143127 0.00092803553 0.0016622341 0.0008955489 0.00093164516 0.0009410302 0.0009168457 0.0008868858 0.000992287 0.0008760569 0.0010283833 0.00089699274 0.0023769406 0.0010901078 0.0010749474 0.001953892 0.0013240118 0.0014734505 0.0013016321 0.0011417256 0.001507381 0.0014669531 0.0018398277 0.001516766 0.0013947606 0.0016748677 0.001604841 0.0015322875 0.0021412317 0.0016903891 0.0023188256 0.0015997875 0.0015705494 0.0016618731 0.0014528756 0.0014052285 0.001215362 0.0011316186 0.0016716191 0.0011027416 0.0009569126 0.0009991452 0.0012695064 0.0010540116 0.0010814448 0.0012002016 0.0019419803 0.0013763515 0.0012236641 0.0013211241 0.0012308834 0.0012409904 0.0011926213 0.0012843059 0.0018604026 0.0012973006 0.0014016188 0.0015561109 0.0018286379 0.0018983037 0.0023401224 0.0024924485 0.0035807518 0.0025317937 0.0023249618 0.0021664992 0.0018430764 0.0017416459 0.0021163253 0.0015810174 0.0024747616 0.0014936643 0.0014662312 0.0015239853 0.004694322 0.17803952 0.0073567843 0.0036706314 0.0027061386 0.010277335 0.052964445 0.03297975 2.5100257e-05 6.8799985e-05 4.55055e-05 6.86194e-05 5.8145917e-05 5.0742245e-05 4.026876e-05 5.4353794e-05 2.3294482e-05 9.083043e-05 4.875589e-06 7.927347e-05 3.087873e-05 6.0854578e-05 0.05433646 0.008008426 7.6023076e-05 6.86194e-05 5.5617835e-05 0.00011087451 7.18698e-05 0.00011809761 8.017636e-05 8.541311e-05 5.6881876e-05 0.00017877162 1.173753e-05 0.00015854694 0.00015619944 0.00013146034 0.03574963 0.0054314067 6.46467e-05 6.302151e-05 7.150864e-05 0.000107985274 5.6159566e-05 9.227504e-05 0.000109610475 5.2006286e-05 4.297742e-05 0.00010581835 2.6183721e-05 8.794119e-05 7.0244605e-05 0.000109610475 0.016437598 0.007895024 7.0605754e-05 6.573017e-05 7.385615e-05 9.1011e-05 6.139631e-05 0.000109068744 0.00015529656 6.86194e-05 2.419737e-05 6.7174784e-05 3.3406817e-05 0.0001150278 6.3924395e-05 9.9859295e-05 0.009127104 0.008313963 0.00019899628 9.8414675e-05 7.963463e-05 0.00014103093 0.00011015221 0.00012495955 0.00013633592 0.00010003987 8.451022e-05 6.22992e-05 4.081049e-05 7.9995785e-05 0.0001078047 9.408082e-05 0.009827563 0.0106793465 0.0002676157 0.00021651229 0.00018996741 0.00023330598 0.00019357896 0.00037957367 0.000415328 0.00015619944 0.00012044512 0.00015114328 7.3675576e-05 0.0001374194 0.00018400836 0.00016920101 0.01195043 0.012865055 0.0004111747 0.00022373538 0.0003490561 0.0008808565 0.0005388429 0.001972808 0.0014791094 0.00031817736 0.00015385193 0.00019917685 0.00016251965 0.00015186558 0.00018563356 0.00021759575 0.012065098 0.045700885 0.001921524 0.0020336625 0.0013991136 0.0023453392 0.0026275816 0.012646376 0.0066414555 0.00081169535 0.0009832438 0.00092654256 0.0009993153 0.0007322413 0.0007329636 0.00092004176 0.046166774 0.06868008 0.004534298 0.005782449 0.0019861707 0.0032906616 0.0028045473 0.018055571 0.009274996 0.0013082832 0.0012571798 0.0013837646 0.0008873573 0.0009240145 0.0011170517 0.00084076833 0.013597658 0.048952363 0.004971476 0.0053358814 0.0013693183 0.0017730894 0.0014731503 0.006364811 0.0060099764 0.0018299712 0.0019123146 0.0013077414 0.0010321804 0.0010702822 0.0014635797 0.00091931946 0.006300345 0.032124177 0.004222441 0.004636144 0.0014545509 0.0017320983 0.0014229498 0.004235623 0.0038159613 0.0021250346 0.0027157033 0.001764241 0.0017808542 0.0016298915 0.0013803336 0.0015253372 0.011467205 0.033432458 0.0086319605 0.010797264 0.0026263176 0.0029941536 0.001827082 0.0026084404 0.0028287447 0.0024220846 0.0033152201 0.0024574776 0.0038332967 0.009931937 0.005287667 0.012640056 0.031200161 0.006343864 0.001897146 0.0017382379 0.0005940996 0.0007075022 0.0005558172 0.0007087662 0.00060078094 0.0005014634 0.00057134684 0.0004983936 0.0009395441 0.0019014799 0.0010144837 0.0028780424 0.006285718 0.0018162474 0.00037235057 0.00033804087 0.00031871907 0.00039907603 0.00028458997 0.00034923665 0.00032287237 0.0002916325 0.00029199364 0.00033280413 0.00027321358 0.00028567342 0.00026544876 0.00023763983 0.0015867335 0.002500094 0.0005749584 0.00057477783 0.00049622665 0.0005836261 0.00042182876 0.0006334655 0.00051771535 0.0005780282 0.00044620672 0.00043627498 0.000442234 0.0004958655 0.00045072116 0.00046733426 0.0011054948 0.010815683 0.007936557 0.007933487 0.008136637 0.007737741 0.0077435193 0.008492374 0.008272612 0.007871729 0.007730879 0.0077579655 0.008235592 0.007997773 0.008236496 0.008077769 0.009049816 5591.0 14.341978 80186.0 0.0066345744 0.0010226225 0.0010849774 0.0021200709 0.0008854414 0.0031177513 0.0015713467 0.0014092235 0.0017833537 0.0013967525 0.0013094555 0.0013468686 0.0050258148 0.008629936 0.012146759 0.0016087596 0.0060110246 0.0048387498 0.02234804 0.0042526126 0.0031302222 0.0034669393 0.0021200709 0.0036041203 0.0018332377 0.0030179832 0.0014840496 0.0011972165 0.0009727384 0.010188811 0.0014092235 0.0013718106 0.0014965206 0.0064100963 0.0042027286 0.010388347 0.009440551 0.015127329 0.0040156636 0.002656324 0.0020951289 0.007993914 0.0016461726 0.0066221035 0.005000873 0.01835732 0.0067468137 0.002656324 0.011211433 0.0013842816 0.008293218 0.014341655 0.014229417 0.0038784826 0.005038286 0.0016337016 0.0015962886 0.0016337016 0.0054747714 0.0012969845 0.0011598035 0.00093532534 0.0010849774 0.028259298 0.0014092235 0.054049335 0.01775871 0.022298157 0.016549023 0.07919088 0.007557429 0.015900532 0.0036290623 0.04144115 0.008817 0.0142169455 0.039021775 0.024966951 0.036427807 0.038922008 0.012246527 0.0014341655 0.044845734 0.033334997 0.06609633 0.028084703 0.020739282 0.006996234 0.0060110246 0.007133415 0.0073454217 0.0012346295 0.0012346295 0.0014591076 0.009116305 0.0018831218 5.62543 1.0 0.0 0.0 18.0 2770368.0 2793472.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1511873400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 2526208.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2526208.0 0.0 242176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6139345 0.0 6.3964143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2525992.0 0.0 241928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2534096.0 241928.0 2539520.0 0.0 0.0 960.0 2769408.0 12.0 2785280.0 28.0 2533784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0