Input: 0.056713786 0.008304026 0.0061705112 0.0056638145 0.0057570715 0.004957133 0.004204859 0.005422382 0.0050483174 0.0056316927 0.0037499715 0.0044690873 0.0049550603 0.0031707413 0.004319876 0.0046462757 0.0050369194 0.0037686229 0.0049322643 0.004162375 0.0043519977 0.0031738498 0.00410124 0.0038432286 0.00506386 0.0033500022 0.0031603794 0.0029324177 0.0041603027 0.0034370422 0.003785202 0.0037934915 0.0061674025 0.0038193963 0.0034836708 0.0030298196 0.0049001426 0.004161339 0.0038380476 0.0037230307 0.0047219177 0.0038960744 0.003337568 0.003097172 0.0043727215 0.0037219943 0.0037209583 0.0035810724 0.0055166753 0.003945811 0.00310857 0.002907549 0.0036784743 0.0030712672 0.002688913 0.0028671375 0.0041685924 0.0033137356 0.0035220098 0.0033541468 0.003997621 0.0032215146 0.0035085392 0.0034556936 0.0066015664 0.003947884 0.003621484 0.0032173698 0.0041603027 0.0032215146 0.0035458421 0.003059869 0.0049975445 0.0037748402 0.0037002345 0.0035872897 0.004131289 0.0031241127 0.003562421 0.0034650192 0.0051685157 0.0036287373 0.003654642 0.003337568 0.0039354493 0.0033800516 0.003365545 0.0035406612 0.004652493 0.003643244 0.0038111068 0.0035064667 0.0041157464 0.0033883413 0.0036867638 0.0037893467 0.0059156087 0.0036256288 0.0033365318 0.002957286 0.0039965846 0.003053652 0.0032681432 0.0030339642 0.004978893 0.0031665966 0.0031987184 0.003053652 0.0035790002 0.0028339797 0.0030826651 0.00319561 0.004504318 0.003283686 0.0032246232 0.003147945 0.0038908934 0.003337568 0.003284722 0.0036297734 0.0046234797 0.0032909394 0.0034784898 0.0031686688 0.0040338878 0.0031976823 0.0034670916 0.0033510383 0.008653223 0.004598611 0.0040142 0.0035251183 0.0043644323 0.003430825 0.0030236023 0.003381088 0.0045405845 0.0038328667 0.00295625 0.003190429 0.0037282116 0.0028018577 0.0028505586 0.0029862996 0.005230687 0.0032038994 0.0034961049 0.0030246386 0.0036629315 0.0031831756 0.0033147717 0.0032639983 0.0045478377 0.0028401967 0.00304329 0.0027044558 0.0035168289 0.0032266956 0.0029862996 0.0031458728 0.0050120507 0.0034121736 0.003273324 0.0027946043 0.0037758762 0.003004951 0.003054688 0.003180067 0.004130253 0.0029987337 0.0031210042 0.003010132 0.0036442801 0.0028391606 0.0029241282 0.0030318918 0.0046659634 0.0031147872 0.0038432286 0.002857812 0.003561385 0.0031458728 0.0029842271 0.0031230766 0.0042587407 0.0031510538 0.0033365318 0.0031883565 0.003649461 0.0031935375 0.0033344594 0.0033406764 0.0067207282 0.00405772 0.0037261392 0.0033365318 0.0041157464 0.0032567452 0.0033013013 0.0032215146 0.004324021 0.0033313509 0.00310857 0.003081629 0.0036504972 0.0029749013 0.003076448 0.002797713 0.0042421618 0.0032795412 0.003091991 0.0030018424 0.0037137049 0.0030225662 0.0029375986 0.0029438157 0.0039748247 0.0031044253 0.0027262159 0.0026360673 0.0035334078 0.0029469242 0.0035790002 0.0028847528 0.0049550603 0.0032329126 0.003392486 0.0029811186 0.0038048895 0.0030743757 0.0031987184 0.0029158385 0.0044431826 0.005453468 0.0034764174 0.0031375831 0.0037872742 0.0030837012 0.003245347 0.0031873204 0.004613118 0.0033147717 0.0034225355 0.0030422537 0.0037344287 0.003093027 0.003316844 0.003240166 0.004353034 0.0030298196 0.0031893926 0.0028619566 0.0040110913 0.0030909546 0.004221438 0.004517788 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 0.09923629 0.062012237 0.062459525 0.055327818 0.060588386 0.05957965 0.054929305 0.054476827 0.060465407 0.053159352 0.052108586 0.052947123 0.05640712 0.050541002 0.05666605 0.053834952 4023.0 5.7039523 22947.0 0.01721358 0.010415304 0.009369416 0.008759315 0.013465812 0.012507082 0.011853402 0.011417614 0.012594239 0.009761625 0.008497843 0.008585 0.01385802 0.010589619 0.011722665 0.009979518 0.016690634 0.01189698 0.008715737 0.0075391117 0.009805203 0.008497843 0.0078005837 0.008367107 0.01024099 0.008410686 0.00958731 0.008890051 0.011504772 0.008977208 0.009674467 0.009195101 0.018041573 0.010851092 0.010415304 0.009020787 0.010851092 0.008846472 0.010633199 0.008279949 0.01420665 0.011635507 0.009718046 0.00893363 0.011417614 0.009325838 0.011679087 0.009543731 0.014816752 0.009718046 0.010023097 0.008977208 0.012027716 0.009412996 0.009630889 0.009848782 0.013683706 0.009195101 0.010546041 0.009543731 0.011156143 0.009805203 0.010458884 0.010676777 0.017954417 0.010981828 0.009674467 0.008192793 0.013073605 0.008236371 0.009456574 0.008367107 0.015426853 0.009282259 0.008890051 0.008715737 0.011330457 0.008018478 0.00989236 0.00793132 0.013160761 0.007974898 0.008672157 0.008846472 0.011461193 0.009456574 0.008192793 0.008062056 0.01089467 0.008977208 0.011984138 0.008541422 0.011330457 0.008977208 0.009979518 0.008759315 6.5547366 0.0 0.0 0.0 14.0 965074.0 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: 0.29922944 0.02052119 0.015625 0.008053296 0.015464469 0.0063409675 0.006073416 0.0040667807 0.0067155394 0.003933005 0.00588613 0.002140411 0.0040132706 0.0032641266 0.004280822 0.0020869006 0.00885595 0.0047891694 0.005458048 0.0024614725 0.0040132706 0.006233947 0.004655394 0.0017925942 0.00390625 0.0024614725 0.0018461044 0.0018461044 0.0030768407 0.0016053083 0.0017123288 0.00098994 0.008936216 0.00291631 0.0016855736 0.0025952484 0.0027825343 0.0012039811 0.0014982877 0.0014715325 0.003745719 0.0026487585 0.0024347175 0.0021671662 0.0028627997 0.0011237158 0.0036386987 0.00066887843 0.0057255994 0.0022206763 0.0029965753 0.0035584331 0.0024347175 0.0032106165 0.0018996147 0.0014715325 0.0035584331 0.003745719 0.0020869006 0.0032106165 0.0023009419 0.002140411 0.0013110017 0.0012574914 0.004682149 0.0036654538 0.002113656 0.0040400256 0.0024882278 0.0054045375 0.0020333903 0.0010969606 0.0014180222 0.0032373716 0.0012574914 0.00098994 0.002755779 0.0025952484 0.0011772261 0.000775899 0.00489619 0.001551798 0.0016855736 0.004869435 0.0020066353 0.0030768407 0.0035584331 0.0022206763 0.0010969606 0.0017925942 0.00080265413 0.001364512 0.0012842466 0.001364512 0.003718964 0.0020869006 0.002729024 0.00489619 0.0022474315 0.002943065 0.016026327 0.009765625 0.00066887843 0.0012039811 0.0018193494 0.0055650687 0.00061536813 0.0013110017 0.0044145975 0.0027022688 0.0035851884 0.0043878425 0.004227312 0.0008829195 0.0057255994 0.005083476 0.009417809 0.006260702 0.0018728595 0.00098994 0.0020066353 0.0020333903 0.00080265413 0.0013110017 0.0013110017 0.0016855736 0.0011772261 0.000775899 0.0075717038 0.0031571062 0.0010434503 0.0020066353 0.0013912672 0.0023544522 0.0008561644 0.00048159246 0.001551798 0.0047089043 0.00080265413 0.021029538 0.0018461044 0.0047891694 0.0008294092 0.0010702055 0.007973031 0.0023544522 0.0043878425 0.0023009419 0.0024079622 0.002140411 0.0014982877 0.0013377569 0.0014715325 0.0008561644 0.00037457192 0.0008294092 0.00098994 0.0005083476 0.00058861304 0.00040132707 0.002541738 0.0018461044 0.0020066353 0.00074914383 0.0012574914 0.0018728595 0.0009096747 0.0015785531 0.0016855736 0.0006956336 0.0005083476 0.0014982877 0.0011772261 0.00045483734 0.0005618579 0.00058861304 0.0018461044 0.0010434503 0.0010434503 0.0009364298 0.0014982877 0.0005083476 0.00058861304 0.0010434503 0.001551798 0.0019263698 0.001953125 0.00074914383 0.0018193494 0.00061536813 0.00058861304 0.00074914383 0.004682149 0.0011504709 0.0015785531 0.0018193494 0.0015250428 0.0009096747 0.001765839 0.0023009419 0.0021671662 0.0008561644 0.0005083476 0.0008829195 0.00890946 0.00061536813 0.0016855736 0.001364512 0.0018193494 0.0006956336 0.0014447774 0.00045483734 0.0012307363 0.00032106164 0.00058861304 0.0005618579 0.0013912672 0.000775899 0.00026755137 0.0006956336 0.0010434503 0.00053510274 0.00045483734 0.0004280822 0.015758775 0.0005083476 0.0005083476 0.00045483734 0.00080265413 0.00032106164 0.00053510274 0.0002140411 0.01260167 0.00061536813 0.00061536813 0.0010166952 0.0023812072 0.00037457192 0.0002140411 0.00053510274 0.0033711472 0.0010969606 0.00061536813 0.00074914383 0.0019263698 0.0007223887 0.0006421233 0.00045483734 0.0016588185 0.0021939212 0.00058861304 0.00032106164 0.0011237158 0.0015250428 0.0012039811 0.038152825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02593471 0.0002511161 0.0003766741 5.580357e-05 0.00026506698 9.765625e-05 0.00053013396 0.00012555804 0.00013950893 0.00011160714 4.185268e-05 4.185268e-05 5.580357e-05 4.185268e-05 0.000390625 0.00011160714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020982143 0.00062779017 0.0012834822 0.00029296876 0.00013950893 0.00018136161 0.0009347098 0.00023716518 0.0012137276 0.00027901787 0.0001953125 0.00018136161 0.00023716518 0.0002511161 0.0009905134 0.0005440848 0.018498885 0.00092075893 0.0005859375 0.0005719866 0.0011439732 0.00022321429 0.00072544644 0.0005022322 0.00046037947 0.000390625 0.00029296876 0.0004045759 0.0022600447 0.00032087055 0.0010463169 0.00022321429 0.112430245 0.0099748885 0.011621093 0.0048967632 0.009486607 0.006780134 0.03017578 0.022767857 0.0060546873 0.002218192 0.0015764509 0.0015764509 0.0015066965 0.0015764509 0.0029436385 0.0029854912 0.10330636 0.013504464 0.0077427453 0.005189732 0.0068638395 0.0059430804 0.011077009 0.0076171877 0.004268973 0.0043945312 0.00249721 0.002748326 0.004701451 0.0019949777 0.0063337055 0.011816407 0.011035156 0.0005440848 0.00072544644 0.007547433 0.00072544644 0.0007952009 0.0012555803 0.0009765625 0.0011021205 0.0005719866 0.00086495536 0.0004185268 0.00043247768 0.0005719866 0.00047433036 0.00053013396 0.035058595 0.004799107 0.0047433036 0.0041015623 0.0034179688 0.0037248884 0.005203683 0.0029296875 0.0034598215 0.0050083706 0.0037388392 0.0012276786 0.0011858259 0.00085100444 0.0030831473 0.0031808035 0.03032924 0.012765067 0.004310826 0.004771205 0.004799107 0.0039202007 0.006752232 0.003125 0.008886719 0.0058454243 0.0029854912 0.0022600447 0.0046875 0.0016322545 0.00655692 0.010658482 0.039815847 0.014174107 0.012025669 0.009779576 0.0139369415 0.016810825 0.010365513 0.008775111 0.031626675 0.0124581475 0.008147322 0.010044643 0.018652344 0.0055524553 0.016755022 0.028222656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 237.0 12.85654 3047.0 0.008861175 0.000984575 0.0 0.0026255334 0.002953725 0.000984575 0.0 0.00032819167 0.002953725 0.00196915 0.00065638334 0.00032819167 0.0036101083 0.0022973416 0.020676075 0.0016409584 0.006892025 0.0052510668 0.0078766 0.00590745 0.006892025 0.004594683 0.0062356414 0.002953725 0.011158517 0.008861175 0.008204792 0.009517558 0.006892025 0.0072202166 0.004594683 0.0016409584 0.0016409584 0.019363308 0.00196915 0.021004267 0.007548408 0.0062356414 0.010173942 0.0032819167 0.0026255334 0.0157532 0.0 0.0026255334 0.008532983 0.0036101083 0.004594683 0.002953725 0.0078766 0.000984575 0.00590745 0.02198884 0.010173942 0.0036101083 0.0072202166 0.0032819167 0.00196915 0.0026255334 0.00065638334 0.0016409584 0.0052510668 0.000984575 0.000984575 0.009517558 0.004594683 0.044962257 0.020019691 0.01772235 0.020347884 0.09386282 0.002953725 0.009189366 0.007548408 0.0472596 0.00065638334 0.0026255334 0.036101084 0.018378733 0.027239908 0.032819167 0.01772235 0.00196915 0.050213326 0.04397768 0.07712504 0.033803742 0.0098457495 0.0026255334 0.002953725 0.0157532 0.00196915 0.00032819167 0.00196915 0.0 0.00065638334 0.00065638334 5.5396185 1.0 0.0 0.0 1.0 37376.0 49152.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1435023400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 0.0 5.0 0.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1349363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.688434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.939225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4307575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27476.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1076.0 16384.0 0.0 0.0 0.0 0.0 1052.0 45056.0 56.0 43236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 17472.0


Input: 0.1398205 0.008471825 0.004108994 0.0033609057 0.0061262697 0.0038759029 0.0019916478 0.0019245273 0.0077383816 0.0014827525 0.0016706898 0.001477871 0.00448975 0.0013472912 0.0012081687 0.0038185453 0.0060506063 0.001477871 0.0011654557 0.0008798885 0.0024261004 0.001946494 0.00075419014 0.0008115476 0.0022662315 0.00074198644 0.00081642915 0.00069927337 0.0015889249 0.00059432135 0.0005845584 0.0005564898 0.003820986 0.0005772362 0.0006419159 0.0005345231 0.004090688 0.0012972559 0.00045763966 0.0005528287 0.0011654557 0.00064313627 0.0005747954 0.0009287034 0.0010885722 0.002306504 0.00066632335 0.00051011564 0.0064838384 0.003194935 0.004094349 0.010523272 0.0042652017 0.0024273207 0.0036184043 0.0021551778 0.0047069765 0.002481017 0.0007041549 0.0014607857 0.0016426212 0.0009616535 0.00045886 0.000521099 0.011604521 0.0038722416 0.0048314543 0.008701256 0.0038136637 0.032095794 0.003221783 0.002670175 0.0033352778 0.0034975873 0.0021576185 0.0023211483 0.0026713952 0.0043249996 0.0011434889 0.0015096007 0.008930685 0.002113685 0.0020270385 0.009617755 0.0031595442 0.013641323 0.0031766293 0.0020660905 0.0018988994 0.0064215995 0.002703125 0.0032132405 0.0015437711 0.004571515 0.0023443354 0.0035537244 0.0056832745 0.0045507685 0.0030106588 0.003424365 0.009390766 0.0062849177 0.0052097696 0.0017402511 0.00802883 0.0043933406 0.004890032 0.0016169935 0.0037733915 0.0019135439 0.0057101226 0.004240794 0.003362126 0.0019196458 0.0061421343 0.004008923 0.010338995 0.0057101226 0.003017981 0.0013143411 0.0030997458 0.0012460002 0.0005235398 0.00058211765 0.0016304175 0.0024834578 0.0010483 0.0008628033 0.0051719383 0.0011422685 0.0010739277 0.008939228 0.0030789997 0.0031827313 0.0010202313 0.0006101862 0.0026262414 0.014981291 0.0022027723 0.05102133 0.0011801001 0.010850331 0.0008457181 0.0006712048 0.0026201396 0.0004381137 0.000717579 0.0006370344 0.0011080982 0.00092382194 0.001491295 0.00056015095 0.0011581334 0.00058089726 0.0004930305 0.0007029345 0.00094334787 0.0004698434 0.00045886 0.00041370624 0.00088477 0.0032840222 0.0004600804 0.002516408 0.0014046486 0.00080666615 0.0005564898 0.0004466563 0.0010324351 0.00045153778 0.0005027934 0.00048082674 0.0008359551 0.00044421555 0.00073222345 0.0006492381 0.0013070188 0.0006760863 0.001707301 0.00052964163 0.0008664644 0.0006614418 0.0007029345 0.0015584156 0.0031082886 0.0025005431 0.0045886002 0.000812768 0.0009872813 0.0004735045 0.00084205694 0.0007053753 0.011836392 0.001133726 0.0022564686 0.010210856 0.004299372 0.0010446388 0.003509791 0.003323074 0.0018452031 0.0017414715 0.00097019604 0.0012850522 0.0016597065 0.00088110886 0.0009787387 0.0009299238 0.0028361455 0.0011349464 0.0029349956 0.0013350875 0.001789066 0.0007578513 0.001582823 0.0008640237 0.003323074 0.000645577 0.001071487 0.0017634381 0.0014766506 0.00070903637 0.0005552694 0.0008310736 0.0024065743 0.0006492381 0.0008664644 0.0009775183 0.0024004725 0.0023992523 0.0005430657 0.0006846289 0.027241154 0.0059456546 0.0010788093 0.0058211763 0.006446007 0.001028774 0.0006712048 0.00074442715 0.007146501 0.0009640942 0.001792727 0.0009067367 0.0090161115 0.0021417537 0.0040418734 0.002559121 0.009933831 0.0030130995 0.0030326254 0.0035647077 0.014690843 0.0039430233 0.004244455 0.06801745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017514569 0.0 0.0 0.0005102814 0.0002413906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014026322 0.0 0.0 0.007493498 0.0047630337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050777583 0.0 0.0 0.0055263173 0.0031631335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054328167 3.6666927e-06 1.7722348e-05 6.6000466e-05 0.0001466677 7.455608e-05 6.1111546e-06 7.3333854e-06 1.5277887e-05 0.0 0.0 1.8333463e-06 7.944501e-06 3.0555773e-06 4.8889237e-06 0.00035322472 0.0060078762 0.00020289033 0.00021022372 0.00054267055 0.0018828467 0.00048094787 0.0024114617 0.0010492853 0.00019189026 9.90007e-05 9.10562e-05 7.394497e-05 0.00066183804 0.00037461377 0.0003947806 0.0028465758 0.013128594 0.0006318934 0.00093195104 0.0020509034 0.004068807 0.0035560809 0.00686466 0.0031625226 0.00044733653 0.00023222387 0.00030616883 0.00032572454 0.0020521258 0.0010883966 0.0011055078 0.008858118 0.02046809 0.0012839535 0.0012155087 0.002047848 0.0072099403 0.0025239068 0.0065939357 0.0032089672 0.0023570724 0.0009606735 0.00096250686 0.0013163427 0.0039991396 0.0026112963 0.00263513 0.009441733 0.01993092 0.0015393998 0.001233231 0.0022348491 0.009291399 0.003985695 0.0058007077 0.0033586905 0.0057279854 0.0013933432 0.0017532903 0.0022721272 0.0038072492 0.0017471791 0.0039869174 0.0095340125 0.07298491 0.00968068 0.0071793846 0.009941015 0.041477628 0.030178104 0.021008316 0.013758654 0.05075925 0.005217704 0.005971209 0.009015786 0.016554506 0.0069752717 0.027060192 0.060222372 0.05942181 0.009989293 0.008991953 0.011509748 0.027729975 0.03018177 0.017425958 0.014407658 0.049129404 0.0058037634 0.006392879 0.009023731 0.020806648 0.010786188 0.024735508 0.04785645 0.00023039052 4.705589e-05 8.494505e-05 5.13337e-05 8.9222856e-05 9.777847e-05 4.2778083e-05 6.4778236e-05 0.00013261205 2.8722427e-05 3.3000233e-05 2.8722427e-05 8.31117e-05 5.9278198e-05 7.211162e-05 0.000105722975 5347.0 18.580513 99350.0 0.004710619 0.00011071968 0.0004831404 8.05234e-05 0.0028988426 0.00049320585 0.00011071968 0.00015098137 0.00034222446 0.00035228988 0.00063412177 0.00050327124 0.00043281328 0.012330146 0.00097634626 0.000402617 0.028877705 0.018882738 0.029652743 0.015057876 0.026260694 0.016487166 0.026482133 0.014131857 0.028636135 0.016487166 0.0007146452 0.00044287872 0.0008253649 0.00046300955 0.00010065425 0.0001207851 0.0011776547 0.0073779565 0.0064016106 0.012551585 0.0061701057 0.013950679 0.0040865624 0.0026572722 0.004257675 0.015218923 0.0021238048 0.003452441 0.005898339 0.005767489 0.003834927 0.007971817 0.011162557 0.0022647206 0.0051736287 0.017705083 0.011303472 0.005415199 0.0051031704 0.0030196276 0.0024056367 0.004630096 0.0013185707 0.0025868143 0.0010065425 0.002415702 0.0025163563 0.019194767 0.00022143936 0.028042275 0.02165073 0.024760947 0.024418721 0.047408152 0.020603925 0.010387518 0.018319074 0.031545043 0.016527427 0.007820835 0.023110216 0.01170609 0.043502767 0.03139406 0.017946653 0.0042274785 0.043945648 0.026149975 0.03775541 0.011283342 0.019365879 0.0067136385 0.014272773 0.005777554 0.0009058883 0.00025163562 0.000473075 0.00022143936 0.00026170106 0.00027176648 5.7471557 0.0 2.0 14.0 4.0 819422.0 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 -6.6061006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.31613338 0.005744485 0.0035328586 0.00496898 0.0070513557 0.0014073988 0.0011632582 0.0008185892 0.004236558 0.0010914522 0.0015366498 0.0025993795 0.0038057214 0.0014935662 0.0011488971 0.0019818475 0.003705193 0.0018956801 0.0008185892 0.0005026425 0.0026424632 0.0031307444 0.0020249311 0.0010483685 0.0017233456 0.0009765625 0.0006462546 0.0009047564 0.0010196462 0.00030158547 0.0005457261 0.00035903032 0.003920611 0.00068933825 0.0018238741 0.0012494256 0.0107421875 0.004121668 0.0023408777 0.0006462546 0.0020680148 0.0012637868 0.00027286305 0.0014217601 0.0010196462 0.0005457261 0.0014648438 0.0005026425 0.007151884 0.0011058134 0.0009334789 0.003374885 0.0016084559 0.00080422795 0.00030158547 0.00091911765 0.0009622013 0.0004451976 0.0013643153 0.0027860755 0.0013068704 0.0009047564 0.0004451976 0.0020823758 0.018267464 0.0020249311 0.0011776194 0.0034610524 0.0062758503 0.0056726793 0.0024701287 0.0014935662 0.0019674862 0.0019387638 0.0009765625 0.00091911765 0.0041647516 0.005787569 0.0021398207 0.005313649 0.0069939108 0.0029153263 0.0023408777 0.0034754137 0.0026424632 0.0020823758 0.0031881894 0.0021829044 0.001881319 0.0019100413 0.0011632582 0.001551011 0.0018382353 0.0013355928 0.0026137407 0.0023408777 0.002225988 0.0024988512 0.0008185892 0.0024557675 0.003504136 0.0068933824 0.0012494256 0.0017664293 0.006405101 0.004638672 0.0033461626 0.0011632582 0.00402114 0.0012925091 0.005572151 0.004696117 0.002154182 0.0007898667 0.004710478 0.0032743567 0.0072380514 0.0037913602 0.00083295035 0.0008616728 0.0022977942 0.002154182 0.0009047564 0.0005600873 0.0013212316 0.0009334789 0.0006318934 0.0011201747 0.0071231616 0.0021110983 0.0016515395 0.007151884 0.0021398207 0.0039493334 0.0013643153 0.0007467831 0.0019818475 0.005744485 0.0013643153 0.018899357 0.001349954 0.01041188 0.0013786765 0.00028722428 0.016228171 0.001278148 0.00068933825 0.0015222887 0.0016371784 0.00083295035 0.0016802619 0.0013643153 0.0011201747 0.0011345359 0.0018382353 0.0013930377 0.0013212316 0.0009334789 0.0011919807 0.0008903952 0.0016228171 0.0019100413 0.0011058134 0.0015079274 0.0009909237 0.001752068 0.0007324219 0.0009334789 0.00071806065 0.0016371784 0.0013212316 0.0023983226 0.00040211398 0.0007036994 0.0008473116 0.00017233456 0.0010340074 0.0008616728 0.00022977941 0.00027286305 0.0006175322 0.001005285 0.0005457261 0.00028722428 0.0021685432 0.0018956801 0.0019100413 0.0011201747 0.0012637868 0.0008473116 0.001349954 0.00057444855 0.00390625 0.0050120633 0.002355239 0.0035328586 0.0044950596 0.0009047564 0.0032456343 0.0026568244 0.0026137407 0.0010627297 0.0013643153 0.0012925091 0.003303079 0.00094784005 0.0010483685 0.0010340074 0.0025850183 0.0014504825 0.0012063419 0.0014217601 0.0011488971 0.0011776194 0.0016084559 0.0015653722 0.0017377068 0.0011345359 0.0005026425 0.00083295035 0.0009765625 0.00083295035 0.00094784005 0.0009909237 0.0015940947 0.0053423713 0.0011632582 0.0008185892 0.0021110983 0.0013930377 0.0013643153 0.0035903032 0.009578929 0.0039493334 0.0015079274 0.003575942 0.0039349725 0.0040067784 0.0043227253 0.0054428997 0.0039349725 0.0022977942 0.0028578814 0.0021685432 0.0027142693 0.004911535 0.003374885 0.0023121554 0.0026568244 0.0026424632 0.0019387638 0.00248449 0.0047679227 0.0007324219 0.00068933825 0.07729205 0.07462686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02668785 0.00034981343 0.0003935401 0.000116604475 0.00017490672 0.00016761894 0.00045184235 0.00023320895 0.0002842234 7.2877796e-05 8.016558e-05 7.2877796e-05 0.00015304338 5.101446e-05 0.0002842234 0.00027693564 0.01250583 0.0 0.0002550723 0.0001093167 0.00034981343 0.00022592118 0.0009474114 0.00051743235 1.4575559e-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 0.01112844 0.00048828125 8.745336e-05 0.00010202892 0.00027693564 0.000116604475 0.00017490672 6.559002e-05 0.0009401236 0.0008818214 0.00013846782 0.0001093167 9.474114e-05 8.745336e-05 0.00012389226 0.0001093167 0.018503673 0.00010202892 0.00022592118 0.00017490672 0.0015231459 0.0005028568 0.003111882 0.0015741604 0.000925548 4.372668e-05 6.559002e-05 0.0002186334 0.0008818214 0.00010202892 0.00041540345 0.0014794193 0.03657008 0.0006923391 0.0013045126 0.0027183418 0.0040301424 0.0012753615 0.004591301 0.0024997084 0.0014575559 0.001195196 0.0005028568 0.0003571012 0.00031337453 0.00032795008 0.00026964786 0.0015960238 0.036293145 0.00074335356 0.0031701843 0.002550723 0.008118587 0.004671467 0.017213736 0.008453825 0.0015377216 0.0015377216 0.00040811568 0.00041540345 0.00072877796 0.000298799 0.0008672458 0.0025434352 0.007513701 0.00074335356 0.00030608676 0.00016033115 0.0013992537 0.00018948228 0.0009401236 0.00016761894 0.0011296059 0.001027577 0.0002477845 0.00018948228 0.00015304338 0.00013118004 0.00015304338 0.0004737057 0.022825327 0.0017126283 0.0023029384 0.0062747784 0.009393948 0.0055532884 0.008286206 0.0059103896 0.005655317 0.0076230178 0.0037459189 0.00456215 0.0031920476 0.0030098532 0.01165316 0.03262739 0.008359084 0.001785506 0.0022300605 0.0013628148 0.0049411147 0.002251924 0.003439832 0.002455982 0.0041977614 0.0034325444 0.0021061683 0.0022956505 0.0050139925 0.003476271 0.012075852 0.030127682 0.04435343 0.0066027287 0.011529268 0.0050868704 0.014735891 0.010355935 0.0058812383 0.0060415696 0.017505247 0.006420534 0.0056698928 0.0043289415 0.009896805 0.0037313432 0.014604711 0.027285447 0.05137156 0.00922633 0.012476679 0.008235191 0.019968517 0.015683303 0.008023846 0.0060197064 0.034944903 0.013307486 0.0060415696 0.003636602 0.018853486 0.009182602 0.013817631 0.02294193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 294.0 17.336735 5097.0 0.024328036 0.0019619383 0.00078477536 0.0 0.003531489 0.009613498 0.0041200705 0.0017657445 0.005297234 0.005297234 0.00019619384 0.0 0.0013733569 0.0019619383 0.009613498 0.0027467138 0.032960564 0.0058858152 0.0041200705 0.0056896214 0.0005885815 0.00039238768 0.0 0.00039238768 0.00078477536 0.0005885815 0.011183049 0.0 0.0 0.0013733569 0.00039238768 0.0076515595 0.029232882 0.018834608 0.0043162643 0.018834608 0.032960564 0.019619385 0.012556406 0.0076515595 0.004708652 0.009024916 0.00019619384 0.00255052 0.010594468 0.006278203 0.008240141 0.004904846 0.012164018 0.0066705905 0.006082009 0.021385128 0.010986855 0.0031391014 0.006278203 0.009809692 0.012360211 0.0031391014 0.0054934276 0.0029429076 0.0017657445 0.00078477536 0.0013733569 0.013144988 0.0017657445 0.0255052 0.004904846 0.027270943 0.02197371 0.07298411 0.01020208 0.016087895 0.0068667843 0.041593093 0.002354326 0.003531489 0.028840495 0.010790661 0.04237787 0.047086522 0.013537375 0.00019619384 0.033941533 0.030213851 0.054738082 0.013144988 0.0033352952 0.004904846 0.016480282 0.0043162643 0.00019619384 0.001177163 0.0 0.00255052 0.0033352952 0.001177163 5.665307 0.0 0.0 1.0 1.0 69632.0 73728.0 0.0 0.0 105.0 0.0 1.0 0.0 0.0 0.0 1512106000.0 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 28672.0 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 -28672.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1496954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7591684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4729342 0.0 6.076099 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7194.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25283.0 0.0 22416.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 1.0 0.0 -1.0 1.0 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 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 0.0 -2.0 0.0 -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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 36248.0 22416.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 912.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.6919866 0.0013668387 0.0012405831 0.0015112305 0.001285226 0.0011837332 0.0012691824 0.0011938476 0.0012629046 0.0011673409 0.0011771066 0.0012506975 0.001239188 0.0011589704 0.0011704799 0.0014494978 0.001283831 0.0011802455 0.0011673409 0.0011572265 0.0012189592 0.0011837332 0.0012207031 0.0011324637 0.001187221 0.0011767579 0.0011554827 0.0011659459 0.0012165179 0.0011446708 0.0011764091 0.0011331612 0.0012548828 0.0011499024 0.0011516463 0.0011910575 0.0012091936 0.0011778041 0.0011648996 0.0011903599 0.001202567 0.0011422293 0.0011240932 0.0014815849 0.001144322 0.0011296736 0.0011572265 0.00117327 0.0011638532 0.0011882673 0.0011436244 0.001207101 0.0012036132 0.0011607143 0.0011928013 0.0011464147 0.0011889648 0.0012419783 0.0011499024 0.0012207031 0.0011746652 0.0011662947 0.0011875698 0.0011512975 0.0012409319 0.0012503488 0.0011565291 0.0012001256 0.0011959403 0.0029202707 0.0011969866 0.0012126814 0.0011788504 0.0011851283 0.0011293248 0.0011530413 0.0011900112 0.001340332 0.0011785016 0.0011833844 0.0012046596 0.0012074498 0.0011178153 0.0011778041 0.0011910575 0.0012517439 0.0012908063 0.0011858259 0.0011481585 0.0012384906 0.0011509487 0.0011610631 0.0011575753 0.0012573242 0.0011767579 0.0011317661 0.0012252372 0.001151995 0.0011516463 0.0011422293 0.0012133789 0.0012646484 0.0012758091 0.0011167689 0.001243722 0.0012144252 0.0012276786 0.0011547852 0.0012050084 0.0011945452 0.0012008231 0.001184082 0.0011739676 0.0011265347 0.0012350028 0.0012008231 0.0013640486 0.0013106863 0.0011600167 0.0011666435 0.0011802455 0.0011635044 0.0011509487 0.001148856 0.0011739676 0.0012601144 0.0011683872 0.0011648996 0.0011638532 0.0012343052 0.0011767579 0.0014191546 0.0011861747 0.0012981306 0.0011575753 0.0011544364 0.0012419783 0.0017135184 0.0011781529 0.001960798 0.001187221 0.0011764091 0.0011729213 0.0011356027 0.0011791992 0.0011934988 0.001175014 0.0011788504 0.0012151228 0.00115339 0.0011502511 0.0011258371 0.0011938476 0.0011809431 0.0011226981 0.0011471121 0.0011767579 0.0011272321 0.0011345564 0.0011485072 0.0012050084 0.0011785016 0.001128976 0.0012053571 0.0011844308 0.0011655971 0.0011464147 0.0011638532 0.001159668 0.0011369977 0.0011847796 0.0011178153 0.0012060547 0.0011324637 0.0011492048 0.0011628069 0.00121024 0.0011296736 0.0011223493 0.0011345564 0.0011879185 0.001136649 0.0013040598 0.0012594168 0.0012259347 0.0011635044 0.0011415319 0.0011526925 0.0012130302 0.0011851283 0.0011683872 0.0011492048 0.0013075474 0.0012360491 0.0012451172 0.0012112863 0.0012517439 0.001138044 0.0011722238 0.0012196568 0.0012827846 0.0011561803 0.0011495536 0.0011485072 0.0013323103 0.0011363003 0.0011439732 0.001168736 0.0012367467 0.0012060547 0.0011704799 0.0011558315 0.001242327 0.0011788504 0.0011352539 0.0011485072 0.0012562779 0.0011757115 0.0011125837 0.0011474609 0.0012541852 0.0011582728 0.0011457171 0.0011697824 0.0012402344 0.0011310687 0.0011247908 0.0011192104 0.001242327 0.0011966379 0.0011516463 0.0011771066 0.0014104353 0.0011411831 0.0011279297 0.0013295201 0.001324986 0.0011572265 0.0011279297 0.0011457171 0.0013654437 0.0011213031 0.0011411831 0.0011767579 0.0012440708 0.0011509487 0.0011683872 0.0011683872 0.0013208007 0.0011446708 0.0011422293 0.001148856 0.0013650949 0.0011418805 0.0012151228 0.0019471959 0.01679171 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00034540796 6.9779384e-07 1.0466907e-06 3.4889692e-07 1.0466907e-06 1.2211392e-06 5.2334536e-07 6.9779384e-07 6.9779384e-07 1.2211392e-06 3.4889692e-07 5.2334536e-07 1.2211392e-06 8.722423e-07 8.722423e-07 5.2334536e-07 0.00032482305 2.26783e-06 2.7911753e-06 8.722423e-07 1.5700361e-06 7.675732e-06 6.9779385e-06 4.53566e-06 5.2334536e-07 1.0466907e-06 1.7444846e-07 1.0466907e-06 2.0933815e-06 1.7444846e-07 0.0 6.9779384e-07 0.00031906625 5.2334536e-07 2.0933815e-06 6.9779384e-07 7.675732e-06 1.2211392e-06 8.722423e-07 2.616727e-06 7.3268357e-06 6.9779384e-07 1.0466907e-06 1.918933e-06 8.722423e-07 1.7444846e-06 3.4889692e-06 5.4079023e-06 0.00029795797 1.7444847e-05 3.1400723e-06 1.3955877e-06 3.1400723e-06 1.5700361e-06 1.7270399e-05 1.918933e-06 1.7444846e-06 2.26783e-06 1.3955877e-06 1.3955877e-06 2.0933815e-06 6.9779384e-07 1.2211392e-06 2.616727e-06 0.00029795797 4.53566e-06 3.837866e-06 4.0123145e-06 2.965624e-06 3.837866e-06 3.3145209e-06 3.3145209e-06 3.837866e-06 3.1400723e-06 4.884557e-06 4.186763e-06 4.884557e-06 4.186763e-06 4.884557e-06 3.4889692e-06 0.020925442 0.0004369934 0.00043524892 0.00044937924 0.0004413546 0.0004708364 0.00043245775 0.00042390978 0.0004312366 0.00044432023 0.0004265265 0.00043333 0.0004279221 0.00045740386 0.00042949212 0.00044397134 0.54143393 0.012987688 0.013050664 0.01307247 0.013123583 0.012979664 0.013190572 0.01303287 0.012995538 0.0130150765 0.013069679 0.012945646 0.013112593 0.013110849 0.012882845 0.013045256 0.1084745 0.0032913191 0.0033298724 0.0033490616 0.0033965115 0.0032670707 0.0033115551 0.0033057984 0.0033351057 0.0033841257 0.003299867 0.0033085896 0.003305275 0.0033014372 0.0032695131 0.0033412115 0.016391352 0.000593997 0.000587368 0.0005795178 0.00061074406 0.0006159775 0.00071297085 0.00062121096 0.0005730632 0.0005866702 0.0005987071 0.0005957415 0.0005906825 0.000573761 0.00057428435 0.00056015403 0.000812232 5.2857886e-05 4.9368915e-05 3.41919e-05 5.5823508e-05 4.2739874e-05 4.2914322e-05 3.9076454e-05 4.6403293e-05 3.8029764e-05 3.628528e-05 3.99487e-05 3.5587487e-05 3.070293e-05 3.8902006e-05 3.4017452e-05 0.0008176399 6.2627e-05 5.11134e-05 3.942535e-05 0.000112868154 5.1636744e-05 0.00014043102 8.635199e-05 7.675732e-05 3.0005136e-05 3.174962e-05 4.2914322e-05 5.11134e-05 4.2565425e-05 5.669575e-05 9.245769e-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 0.0019721398 0.0003455824 0.0005242176 0.00026708058 0.0020004006 0.0004261776 0.00022748079 0.00051392516 0.0017559982 0.00013816319 0.00018665986 0.0005441048 0.00061074406 0.0003557004 0.0007865881 0.0011349617 0.00061719865 0.00014426888 7.187277e-05 0.00016206263 0.00023637767 0.00025609034 0.00013101079 0.0001763674 0.0004225142 2.8958444e-05 4.3612115e-05 4.902002e-05 0.00023655212 7.95485e-05 0.00017654184 0.00038343773 0.0010370961 0.00095946656 0.0009332993 0.00093242706 0.0009200412 0.00092876365 0.0009477785 0.0009336482 0.000912191 0.00093452045 0.00093312486 0.0009212623 0.00092457683 0.0009408006 0.0009289381 0.00091742445 388.0 9.28866 3604.0 0.024139844 0.0055493894 0.004439512 0.0055493894 0.006936737 0.0030521643 0.004439512 0.0036071031 0.0030521643 0.0027746947 0.0041620424 0.0036071031 0.004439512 0.0036071031 0.0066592675 0.0033296337 0.00527192 0.0036071031 0.004439512 0.004439512 0.004716981 0.0049944506 0.0055493894 0.0041620424 0.004439512 0.00527192 0.0038845728 0.0055493894 0.004716981 0.0041620424 0.0030521643 0.0033296337 0.0038845728 0.013873474 0.0061043287 0.012486126 0.017203107 0.011376249 0.012208657 0.020810211 0.008046615 0.015815761 0.0055493894 0.0049944506 0.01082131 0.01082131 0.011653719 0.0061043287 0.022752497 0.0066592675 0.008601554 0.019977802 0.011376249 0.0061043287 0.0072142063 0.016925639 0.009988901 0.0077691455 0.0058268593 0.00527192 0.0055493894 0.0072142063 0.0055493894 0.00527192 0.0055493894 0.029134296 0.0077691455 0.019422863 0.02108768 0.07103219 0.0077691455 0.009711431 0.011098779 0.026359601 0.0049944506 0.0058268593 0.027746947 0.013873474 0.026359601 0.028024416 0.0119311875 0.00527192 0.035516094 0.022197558 0.04134295 0.017203107 0.008879024 0.0058268593 0.010266371 0.010266371 0.0058268593 0.004439512 0.004716981 0.0058268593 0.0036071031 0.006381798 6.1261783 0.0 0.0 0.0 6.0 2867200.0 101617660.0 0.0 0.0 86.0 0.0 1.0 0.0 0.0 0.0 1461744900.0 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 12.0 0.0 5.0 10.0 5.0 0.0 83456.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1380864.0 0.0 0.0 0.0 434176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -951296.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83456.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.232472 0.0 0.0 0.0 3.1611888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5049903 0.0 0.0 0.0 0.0 0.0 -2.6840289 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0174804 0.0 1.4974902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1380468.0 0.0 0.0 0.0 434088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -950992.0 0.0 0.0 0.0 0.0 0.0 -98738180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83096.0 0.0 15216.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -2.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 1468460.0 2928.0 101601280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1467976.0 0.0 0.0 364.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.017282236 0.004460219 0.0038480102 0.004141314 0.004020681 0.0038263048 0.003771206 0.0040736925 0.0040414124 0.0036220497 0.0033646435 0.003850654 0.0040269424 0.0036156492 0.0037428217 0.004469263 0.003742126 0.003533975 0.003522844 0.0036373548 0.003519922 0.00355095 0.0036139796 0.0039156317 0.003796529 0.0036916188 0.0035961699 0.0037481089 0.0038574717 0.00379639 0.003874864 0.0042382935 0.0037560398 0.0034506312 0.0034822156 0.0036379113 0.0040803715 0.003484581 0.0035331403 0.0037158288 0.0032853347 0.0033313895 0.0032771255 0.0036381898 0.0035428798 0.003567229 0.0036720003 0.004108199 0.003548028 0.003774267 0.0035188089 0.004051013 0.0034923726 0.0036846618 0.0035915782 0.0037515874 0.0036992715 0.0038503755 0.0036693567 0.0040465607 0.003975461 0.0039125704 0.0041429834 0.004372979 0.0036985758 0.0037116546 0.003538984 0.0036390244 0.0041037467 0.004338473 0.00389003 0.003928293 0.0035224266 0.0035487236 0.003283526 0.0036149535 0.0036169016 0.003729186 0.0037322473 0.003989653 0.003895039 0.0035914392 0.003490703 0.00384161 0.003495851 0.0036603126 0.003851767 0.004115991 0.00370595 0.0037364212 0.003559159 0.0036991322 0.0037212553 0.0037936072 0.0039150747 0.0045400844 0.0036171798 0.0036370766 0.003606466 0.004081206 0.0036331806 0.003804321 0.003690923 0.0038802903 0.0036829922 0.0036614258 0.003913962 0.0037568747 0.003797364 0.0035814212 0.003663791 0.004078841 0.0037457435 0.0036182927 0.003854828 0.0039134054 0.00438411 0.004615358 0.0037003844 0.0039627994 0.003925093 0.003797364 0.0037685623 0.003850654 0.0043736747 0.0042858785 0.0042736344 0.0046572387 0.0039054744 0.0036881403 0.0034488223 0.004611741 0.0036462597 0.004011498 0.0035394013 0.0038496798 0.0036047965 0.00432442 0.003374105 0.0057569887 0.0037117938 0.004317324 0.0038147562 0.004143262 0.0035125478 0.0036383288 0.0034500747 0.0036085532 0.0033368159 0.0034212728 0.00354608 0.0037738495 0.0035527586 0.003597422 0.0034922336 0.0036850793 0.0036804876 0.0036137013 0.0038339572 0.004280313 0.0035041994 0.0035352272 0.003415429 0.003794442 0.0034246123 0.003525905 0.0034881984 0.0037108199 0.0035691771 0.0036295631 0.0035663943 0.0037966683 0.003643616 0.003633598 0.0037155505 0.004044891 0.0036331806 0.0037450478 0.0034891726 0.003641529 0.0035673683 0.003742126 0.0037358648 0.0037922158 0.0038154519 0.0036585038 0.0036361027 0.0036974626 0.003806547 0.0037959726 0.004243302 0.0045108655 0.0043358295 0.0039285715 0.0037650838 0.004040578 0.0039127097 0.0036137013 0.0040873284 0.0043260898 0.00384161 0.0036921753 0.0034521616 0.0037624403 0.0040305597 0.003679653 0.0038335398 0.004238989 0.0037479699 0.0037014976 0.003516026 0.003718194 0.0038666548 0.0038527409 0.0037222293 0.003960573 0.0038807078 0.0035871258 0.0037013583 0.0037464392 0.0036377723 0.0037040021 0.00376731 0.004305358 0.0041542538 0.003871803 0.0037431 0.0040259683 0.003930798 0.0036451465 0.0038374357 0.004067988 0.00485412 0.0037721798 0.004083293 0.004219788 0.00394819 0.0038109994 0.0037158288 0.0041499403 0.0044918032 0.004206848 0.0038691594 0.004115295 0.004034873 0.004226606 0.0041770726 0.004320385 0.0048392317 0.004163437 0.004293392 0.0042957575 0.004762845 0.0044993167 0.0049466467 0.007936173 0.001566369 1.3917094e-07 2.7834187e-07 2.0875642e-07 3.4792737e-07 6.958547e-08 0.0 6.958547e-08 6.958547e-08 0.0 0.0 0.0 0.0 6.958547e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013325618 2.0875642e-07 5.5668374e-07 4.1751284e-07 2.9225898e-06 9.741966e-07 2.226735e-06 1.043782e-06 6.958547e-08 1.3917094e-07 0.0 6.958547e-08 6.958547e-08 3.4792737e-07 0.0 2.0875642e-07 0.00037722284 4.3838845e-06 3.6184445e-06 3.4792737e-07 0.00011425935 3.8689523e-05 1.2525385e-05 6.8889617e-06 6.2626924e-07 1.6004658e-06 1.7396368e-06 1.3221239e-06 1.043782e-06 1.182953e-06 3.0617607e-06 1.5308804e-06 0.0007179829 2.0458128e-05 8.976525e-06 5.4276666e-06 1.704844e-05 8.002329e-06 1.781388e-05 1.475212e-05 1.36387525e-05 2.505077e-06 3.8967864e-06 3.1313461e-06 2.5746624e-06 5.2189102e-06 9.115697e-06 4.5230554e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005655211 8.8791065e-05 1.3708338e-05 1.2525385e-05 0.00015844611 5.622506e-05 2.7138334e-05 1.6561342e-05 7.445645e-06 4.5926413e-06 8.350256e-06 1.4404192e-05 7.5848166e-06 6.61062e-06 4.45347e-06 5.2189102e-06 0.0028930856 5.8312624e-05 0.00013235156 4.2029624e-05 0.00029907835 5.963475e-05 0.00027764603 0.0001508613 6.5132e-05 4.536973e-05 1.830098e-05 1.704844e-05 3.103512e-05 5.010154e-05 4.1542527e-05 0.00052133435 0.000853605 1.7605124e-05 3.6671543e-05 1.4404192e-05 8.593806e-05 3.562776e-05 0.0001260193 7.7796554e-05 3.4027296e-05 1.36387525e-05 1.259497e-05 1.4682534e-05 2.073647e-05 1.31516545e-05 1.5726317e-05 5.288496e-05 0.0008061477 3.764574e-05 4.7874804e-05 2.8390872e-05 0.00015698482 7.897951e-05 0.00038675606 0.00020026698 4.5717654e-05 1.6700513e-05 2.1780252e-05 3.054802e-05 2.073647e-05 2.2406522e-05 2.0458128e-05 7.37606e-05 0.0011704972 6.269651e-05 0.00012219208 7.793573e-05 0.00035982646 0.00012775892 0.00048083562 0.0002893364 8.962609e-05 2.6720822e-05 3.6184443e-05 4.683102e-05 2.5329111e-05 9.275743e-05 3.068719e-05 9.602795e-05 0.00039162702 1.537839e-05 2.6233723e-05 2.3450304e-05 9.512334e-05 2.518994e-05 8.419842e-05 5.5250865e-05 1.8857663e-05 2.3450304e-05 2.8808385e-05 3.1870146e-05 3.7576156e-05 3.103512e-05 2.2197766e-05 8.732977e-05 0.00044186774 4.4117187e-05 4.703978e-05 4.6204754e-05 0.00010236023 3.0965533e-05 6.0817703e-05 5.5320448e-05 3.103512e-05 4.2795065e-05 3.855035e-05 3.117429e-05 4.2725478e-05 3.291393e-05 2.9295483e-05 6.290527e-05 0.0035979864 0.00065834814 0.0006375421 0.00048327108 0.0010175484 0.0009617408 0.0004032478 0.00079000386 0.0021838704 0.0002207947 0.00024264454 0.00033143559 0.0011805871 0.00030144426 0.0007790789 0.0014591378 0.00541702 0.001226096 0.000931819 0.0011649304 0.0020885384 0.0021119886 0.00084101 0.0020037831 0.0036536548 0.00037304772 0.0005440888 0.0005891106 0.0018914723 0.00065960066 0.001754528 0.0035365424 0.057045404 0.057414416 0.05556539 0.05919643 0.0554004 0.057089172 0.057369117 0.06107259 0.057619136 0.057264388 0.057053126 0.059412703 0.05929378 0.05921278 0.061132368 0.067294024 30428.0 6.0651045 184549.0 0.011715046 0.008929878 0.009027413 0.009720995 0.009477158 0.009943158 0.009677647 0.009330856 0.008404272 0.008664366 0.008588505 0.008978645 0.00923332 0.009563856 0.011075649 0.010056949 0.009574693 0.00927125 0.009092436 0.009368786 0.008501807 0.009439227 0.009282088 0.009059925 0.009314599 0.009856461 0.009634297 0.0095205065 0.010186996 0.009986508 0.010923928 0.010896835 0.010723439 0.012218977 0.009786019 0.010918509 0.013394817 0.009823949 0.010159903 0.012137698 0.009059925 0.011525394 0.008729389 0.009059925 0.009634297 0.009515088 0.01166086 0.01040916 0.011709628 0.008951552 0.009959415 0.012159373 0.009254995 0.009525925 0.012229814 0.012359861 0.010354973 0.009569274 0.009612624 0.009612624 0.010192415 0.009211645 0.009655972 0.011254463 0.009634297 0.012121442 0.010349555 0.012072675 0.0110323 0.016564706 0.009580111 0.01036581 0.010170741 0.012527838 0.009758926 0.009395879 0.013568212 0.010620486 0.013221421 0.013947516 0.0109997885 0.0087619005 0.013508608 0.012289419 0.016217915 0.01118944 0.009677647 0.0107288575 0.01032788 0.009753508 0.009460902 0.009049087 0.010696346 0.010154485 0.010463346 0.011118998 6.5703454 1.0 0.0 0.0 103.0 7187091.0 524288.0 1.0 0.0 368.0 0.0 1.0 0.0 0.0 0.0 1348734200.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 299008.0 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 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -299008.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.453937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6864712 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6861854 0.0 5.411196 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -101016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -296723.0 0.0 38248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 2.0 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 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 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 1.0 0.0 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 -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 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 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 -2.0 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 -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 -1.0 -1.0 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 -1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 1.0 -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 -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 -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 -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 -1.0 0.0 1.0 1.0 1.0 1.0 2.0 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 -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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 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 -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 1.0 2.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 1.0 0.0 -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 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 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 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 369992.0 38248.0 483328.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 304800.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 345608.0 0.0 0.0 1520.0 303104.0 64.0 369856.0 0.0 0.0